Spaceship Discussion Thread

[dbell]

Here is a new diagonal c/4 adjustable glider duplicator based on the new edge shooter. It cannot use the usual block-hitting reaction because of a parity problem, but it can use the similar loaf-hitting reaction.

Code: Select all

#C An adjustable diagonal c/4 glider duplicator convoy.
#C This has a minimum repeat time of 348 generations and a
#C minimum diagonal displacement between the input and output
#C gliders of 88.5 cells.  Shifting the rightmost and bottom two
#C spaceships diagonally backwards by two cells increases the
#C diagonal displacement by one cell.
#C David I. Bell, 31 January 2024
x = 358, y = 355
5bo10boo$4b5o6boo$4bobboo8bo7boo$6boobo5boo6b3obo$15boo3boboo$9bobo6b
oo$14b3obo4bo$11b3o3bo4bo$12bo7bo$12bo6bo$$15bo$$13boo$14boo$13bo68$
26b3o$26bo$19b3o6bo$19bo6bobo17boo$20bo4boob4o13boo$22b4ob5oboo4boo5bo
$23boo7boobobboo5boo$40bo4bobobboo$42boo3boob4o$29bobbo9boo10bo$28b5ob
o19bo$28bo6bo12bo$29boboo3bo11bo3bo$37bo9booboo21b3o$34bobo10bo3boboo
18bobb3o$48boob4o19bobo$boo32bobbo14boobbo21bo$oo33bobbo15boobo19bo$bo
bo32boboobo13bo23bobo$b3o32boobbobo12boo15boobo6bo$boo34bo5bo4bo6b3o
13boo3bobbobbo$3bobo31bo9boo6boobbo5b3o4bobbobbo3bo$42bo4bobo9bobo3bo
6bobbobbo3bo$5bobo32bo15bo3bobo5bo3bo6bobo$7b3o46b6o3bobbo8boo$7bo50b
3o5bobbo6b3o$6bo60bo5bo3bo$boboobo4bo57boboboobo$ooboobo64boo$obo4bo
67bo$5boo$5bo3bo62bobbo$4bo3bo$$4bobbo$3boobo$3bo6b3o$bboo6bo$bbo8bo$
3bo9boo$14bo3boo$17boo$20boo$14b6o$14bobboobo$boo13bo4bo$bobo10bo6bo$b
o11bo$4bo7boo3bo$4boobboobobb3o$8bo5bo5boobbo$8bobo3bo4boo5bo$6boboo3b
o6bobo3b4o21boo$5booboo10boob4o24bobo$5bobbo11b3o4bobo21bo$7bobo14bo
29bo$7bobboo12b5o25boo$14boobobboobboobbobbo22boo$13boo3bob3o4b4obo20b
oo$14bobbo3boo4boo20booboo$14bobbobboo3b3o21bo4bo$14bo9bo24bob4o$5b3o
14bo4bo25boo$5bobb4obo8bo4boo24boo$6b3ob4obo37boo$8b3obbobo6boobo4bo
24bo$22bo5boo24boo$15bo3b3o6bobbo22bo$14boo3bo10bo24bo23b3o$20bo8boo
48bo$26boo52bo$25boo55boo$27bobo53bo$27boo3bo$27bo3boo47bo$27bo3bobo
43b4obo108boo$27bo49bo4bo108bobo$31b5o42bo4boo106bo$28booboobb3o42bobb
3o108bo$36bo47boo108boo3bo$30bo3boboboo41booboo108boobbobo$31bo50boboo
109boboobbo$32boboo46bobo110boobob3o$83boo110bobo3boo$195bo5bo$91b3o
87b3o17boo$91bo5boobo80bo12boo$94b3o3bo81bo10boboo$91bo3b3o3bo82b3o5bo
4bo$92bobo3bo86b6oboo3bo$93boboo91bo4bo$95bobb3o86bobo4boo$85b3o3boob
3o5boo82b3o$85bobb4o3bobbo3boo81bo$86boob3o94bobo$85b3o4b3obb4o86b5o$
78bo14bo3bobo88boobo$77b6o12bo3boo$77bo7boo12boo$78bo6bo8boo$80bobobbo
8boo5bo$81bo4bo5boboo4b3o$86boo3b3o6bobo$86boo3bobo8boo$101boo$97b3o$
97bobbo$99bo$98boo3boo$98boo3bobo14b3o$98b3obbo16bo$103bo17bo$100boboo
b3o15boo$102boo5bo14bo3boo$101b3o6bo16boo$107bobo20boo$103boboo17b6o$
124bobboobo$111boo13bo4bo$111bobo10bo6bo$111bo11bo$114bo7boo3bo$114boo
bboobobb3o$118bo5bo5boobbo$118bobo3bo4boo5bo$116boboo3bo6bobo3b4o$115b
ooboo10boob4o$115bobbo11b3o4bobo$117bobo14bo$117bobboo12b5o$124boobobb
oobboobbobbo$123boo3bob3o4b4obo$124bobbo3boo4boo$124bobbobboo3b3o$124b
o9bo$115b3o14bo4bo$115bobb4obo8bo4boo$116b3ob4obo$118b3obbobo6boobo4bo
$132bo5boo$125bo3b3o6bobbo$124boo3bo10bo$130bo8boo$136boo$135boo$137bo
bo21bo$137boo3bo17b6o$137bo3boo17bo6bo$137bo3bobo17bo5bo$137bo27boobo$
141b5o16boo$138booboobb3o14bobo$146bo$140bo3boboboo11b4obo$141bo10boo
7bo$142boboo5boobo4boo5bobo$152bo3boobobbo4b3o$152bo3bobbo4bo3bobo$
152bo4bobo3bo6boo$152bobbo13b3o$155bo3bobo10bo$153boo7bo7b3o3bo$155bo
5b3o7boboboboo$162bobbo5b3oboboo$163b3obo4bob3o$164boob3o4bobo15b3o$
166booboo3boo16bo5boobo$168boo4bobboob3o12b3o3bo$170b4obobbo13bo3b3o3b
o$168b3obobob3o3bo10bobo3bo$167bobboo3bo18boboo$168boo3bobo4bo15bobb3o
$168boo3b3o10b3o3boob3o5boo$186bobb4o3bobbo3boo17boobbo$173bo3bo9boob
3o28boo5bo$173bo12b3o4b3obb4o20bobo3b4o$173bobo3bo14bo3bobo21boob4o$
178b6o12bo3boo20b3o4bobo$178bo7boo12boo24bo$179bo6bo8boo29b5o$181bobo
bbo8boo5bo13boobobboobboobbobbo$182bo4bo5boboo4b3o11boo3bob3o4b4obo$
187boo3b3o6bobo12bobbo3boo4boo$187boo3bobo8boo11bobbobboo3b3o$202boo
12bo9bo$198b3o6b3o14bo4bo$198bobbo5bobb4obo8bo4boo$200bo7b3ob4obo$199b
oo3boo4b3obbobo6boobo4bo$199boo3bobo17bo5boo$199b3obbo12bo3b3o6bobbo$
204bo11boo3bo10bo$201boboob3o13bo8boo$203boo5bo17boo$202b3o6bo15boo$
208bobo18bobo$204boboo21boo3bo$229bo3boo$229bo3bobo$229bo$233b5o$230b
ooboobb3o4boo6b3o3bo$238bo5bobo5bobboobbo$232bo3boboboobbobo6bobbo3bo$
233bo11b3o7booboo$234boboo7bobo11boo$241boobo12boobo3b4o$241bob3oboob
oo3boobo4bo5bo$241bob4obo3b10oboo4bo$242bo6boobo7bobbo4b3o4boo$242bobo
4boo4bo6bobboo4bo3bobo$242bobo5bo4boo3bobbo3boboobobbo$244bo17bo3boob
oobbobo$244bobo3bo15bobbo3bob5o$243boo4b5o12bo3bo3boobbobbo$239boobboo
4bobo24bobbob3o$239bobo23bo8bo7b3o$239bobo22boo8booboo4boo$240boo22bob
o4b3o5bo3bo$239bo28bob3obbobbo3bo$239b3o25boo3bo3bo4bo12boo$235boo4bo
9bo9boo7boo22boo$234boo3boo9boo8boo5boo13b4o$236bob3o9bobo9bo4bobobo
12boo$238boo24boo3b4o5boobo$237boo14boo9boo5bo6bo3bo6boo$237boo14boo
18bo4bo4bo4boo$236bobo34bobo4boo8bo$235boo7bo6boo3bo9boo14bobo3boo$
235bobo5boo5bobboboboo7bobo3bobo10bobboo$234bo8bobo3boobo3b3o7bobbo3bo
9bo9b3o$235boo10bo10b3obboo3bobb4o9bob3obobbo$246bo13boobbo5b3o12b3obb
o4bo$246bobbo10boobbobb5o17boboboo$267bobbo17boo7boo49b3o$288bo8bobb3o
45bobb3o$288bo8bob5obo43bobo$298bo6boo47bo$298bo5b3o45bo$298bobbobbo
49bobo$301b4o42boobo6bo$291boobobbo7bobbo37boo3bobbobbo$291boboobboobo
3bobbobo30b3o4bobbobbo3bo$291boboo3bo5bobbobo30bo6bobbobbo3bo$292bo4bo
5boo38bo3bo6bobo$292boo3bo3bobo36bobbo8boo$283boobbo4boo6bob3o36bobbo
6b3o$282boo4bobboo6b4o39bo5bo3bo$284boobobb3o7boo3boo37boboboobo$286b
oobbo9bobo43boo$293bo6bobobboobo41bo$290bobbo3boo6boobo$291bo4boo9bo
39bobbo$292bo5bo8bobo$303boobbobo18boobo$303bo24bo3bo$303bo24bo4bo$
305b3o22boo$305b6o21bobo$305bo$305boo3bo16bo6boo$305boobbo16b5o4bobbo$
306b3obb3o6boo4bo6boo$308bo4bobo4bobo11bo$308b4obobo4bo5boboo6bobo$
308b4obobo5boo4bo4bobo$311bo9bobbo6b3o$321bo6booboo$323bobobobbo$$325b
o4bo$326b4o!

This is a little disappointing to me in that its repeat time and its minimum displacement are both larger then the known adjustable duplicator, plus it is much larger in size. Whoever found that original duplicator did a good job.

BCNU,
-dbell

[amling]

I had dreamed of trying to make a trivial LCM spaceship like that trivial p6 oscillator. The simplest choice is 6c/12 where cells are grouped in an obvious way into 6 cell cohorts. Now it's possible for a cohort to be 2c/4 (division in 3) or 3c/6 (division in 2). A constraint file like this (but longer) can enforce two touching side-by-side 2c/4 and 3c/6 cohorts but then also that the entire west side of the pattern is 3c/6 and the entire east side is 2c/4:

Code: Select all

(snip)

(etc)

While I produced many bigger partials, fundamentally I can't seem to solve 3c/6 problems. Much easier to rip off an existing 3c/6 ship with a convenient shape near its 3c/6 part and redo the c/2 part around it as 2c/4 with a forced 2c/4-but-not-c/2 cohort next to a 3c/6-but-not-c/2 cohort. With this it's mostly just solving a 2c/4 problem which is easy enough:

Code: Select all

#C [[ TRACK 0 -1/2 ]]
x = 77, y = 81, rule = B3/S23
6bo17bo$5b3o15b3o$3b2ob3o13b3ob2o$4bo2bob2o4bo4b2obo2bo$b2obo4bobob2ob
2obobo4bob2o$b2obobo2bobo7bobo2bobob2o$bo8b3obobob3o8bo$2o7b2o9b2o7b2o
2$29b2o$31bo$31b2o16bo$29b2obo15b3o$27b2obob2o7b3o3b2o2bo4b3o$26bo3bo
10bo2bo2b2o2bo3bo2bo$25b2obobob2o6bo3bo2b2o2b2o5bo$24bobo2bobo8b2ob2o
3bobobo5bo$23b2o2bob3o8bo11b2obobo$21b2obo15bo9bo2bo$22bo5b2o16bo$19b
2obo4bo12b2o9b2o$19b2ob2ob2obob2o8b3o$19b3obobo2bobo9bo$18b2o3bobo2bob
ob2o5bo6bo6bo6bo13b3o$23bo4bobob2o3b2o6b3o4b3o4b3o11bo2bo$22bob3o3bobo
bob2ob3o2b2o2bo2b2obo3bo2b2o5b3o5bo$22bobob2o6bobobo5bo2b2o2bobo4bobob
o5bo2bo4bo$24bob2o5bo2bo3bo2b2o5bo2b3ob3ob3o3bo2b2o4bo$35bobo2b2o4b2o
3bo2b2o6b2o12bo$40b2o2b2o18bob3o3bo2bo$40b2ob2ob2o17bob2o2bo$40bo3bob
3o2bo13bobo4bo$45bo3b2o2bo$40bo6bob2o2b2o$41bo4bo3bo4bo4b3o$49bob6o2bo
2bo$45b5o12bo$43b2obob2ob4ob2o4bo$46bo5bo2b2o4bo$42bo14bo3bo$42bo14bo
3bo$41b2o15bo$41b2o15bobo$41b2ob2o13b2ob2o$42bo2bo12bobob2o$42bo3bo10b
2obob2o$43b2o11b3o2bo$57b2o2b3o$40b3o5b3o7bo3bobo$40b2o5bo2bo6bo4bobo$
42b3o5bo5b3o6bo$42bo2bo4bo5b2o$42bo2bo3bo$42b2obo10bo$45bobo9bo$44b3o
10bobo$42b2obo12b3o$43bo2b2o10b3o$47b2o10bobo$46bob2o9bobo$46b2o14bo$
43bo2b2o14b2o$45bo16b2o$45bo15bo$44b3o12bobo$44b3o11b2o$47b3o8b2o$46bo
2bo9bo$49bo10bo$49bo13bo$46bobo10bo2b3o$61bo2b2o$60b2obobo$57b6ob3o$
57bo9bo$57bo3bob3obo$57bo9b2o$57bo8b3o$58bobo4b3o$66b2o$65b2o!

The west 38 columns are 3c/6 (some strict c/2) and that final 38th column has a single non-c/2 cohort. The east columns are all 2c/4 and the neighboring cohort across from that critical 3c/6-but-not-c/2 cohort is 2c/4-but-not-c/2.

[dbell]

Here are a few diagonal c/4 period 28 based results. The first two are obvious, but are shown here to be noted.

Code: Select all

#C An extensible diagonal c/4 period 28 spaceship containing beehives.
#C This uses a period 28 beehive puffer and a beehive eating spaceship.
x = 118, y = 162
42boobo$42bo3bo$13bo28bo4bo$9bobobo30boo$7boobo3bo31bobo$7bobb3o$boo6b
oob5o24bo6boo$oo5bobo4bobbo22b5o4bobbo$bbo4b3o5b4oboo5boo5boo4bo6boo$
4boo11boo4boobo3bo3bobo11bo$4boo11bo3b4o5bo3bo5boboo6bobo$16boboobo5b
3o5boo4bo4bobo$15b3o8bo8bobbo6b3o$15bobo17bo6booboo$37bobobobbo$27boob
oobbo$26boobbobbobo3bo4bo$28bo4bo6b4o$$17boo13boo3bo$16boo14boo3bo$18b
o14bo3bo$20boo7b4o6boo$19bo9bobbo6bobo$33bobo3boo$18bobbo4b4o10bo$15b
oobo7bo6boo$14boo4bo6bobboo$16bobobbo8boo$21bo$18bobbo4boobb3o$19bobo
3boo3boo$19bobo4bobboboo13bo$20boo3boo18bobo$20bo24bobo$46bo4$53bo$52b
obo$52bobo$53bo4$60bo$59bobo$59bobo$60bo4$67bo$66bobo$66bobo$67bo4$74b
o$73bobo$73bobo$74bo4$81bo$80bobo$63b3o14bobo$63bo17bo$64bo$66boo$67bo
$88bo$64bo22bobo$61b4obo20bobo$61bo4bo21bo$62bo4boo4boo$64bobb3o3bobo$
68boo3bo11boo$52bo12booboo3bo10boo9bo$51boo13boboo3boo11bo7bobo$51bobo
12bobo4boo13bo5bobo$67boo5boboo9bo7bo$54boo18bobooboo5boo3boo$53b3o17b
obobboobo4b3oboo$46boo5bo32bobobobbo$45boo10bo7bo19b3o4boobo$41bo4bobo
bb3obboo6boo22boobboobbo$40boo4boob5o3bo3bobboboo5b3obboboobbo3bobboo
bbobo$40bobo4boboo5bobobb3obboobobbobb3obbo3bo4bobo3bo$44bo5bo9bo5bo3b
o13bo3boboobb3o$43bo3bo15bo4bobob3obobbobo6bo4boboo$43bo10boo6boo8boo
4b5oboo4b3o$53boo6bo3bo4boo4bo3bo5b3o3bo3boo$55bobboob5obobboo3boo5b3o
bb5o4boo$57boobbobobobo15b3o4bo3boboo$50bo7bobobbobo20b3obbobobbobo$
49boo7bo6bobo18bo9boo$49bobo5b3o3b4o14boo12boboboo$55boobbo3bob3o13bo
bboo8boobo$52bobobbobb3o18bo12b4o3bo$51b3o3bo4bo20boo11boo3bo$51bobobo
5boo13boo5b3o10bo3bo$52boboo19boo3boo4bo9bobo4bo$52boo4bobbo15bob3o5bo
14b3o$51boo3bob3obo18bo3bobo4bo4boobboboo$45b3obboo8boo16bobbo9boo4boo
bb3obo$45bo8bobo25bobo6bobobboo3bo$46bobbo3bo25boboobo10boo3bobbobo$
49bo7boo5boo29bob5ob3o$49bobo3boboboboobo15bobo13bo3boo$54boobo4bo17bo
boo10boobo$54bobobobboo17bobboo13bo3bo$51b3obboo4bobo18boo8bo4bo3bo$
51bo9boobo17bo11b3o3bo$52boo4bobbo3bo14boo8boo4boobb3obo$49b5o5bobbo
18bo7boo5bobboo5b3o$48boobbo12bo15bo9bo5b4o3bobbo$49boboo9boobo27boobb
o8bo3b3o$49boo14bo27boo4bo11boo$50bo5bo6bo31bobboo11booboo$55boo4boo
29boo3bo16bobo$48b4o3bobobbo4boo25bo19bob3o$40bo6b3o10bo5bo26bo4boo16b
oo$39boo4boo11boobobobobo18bo4bo3bobboo3boo$39bobo3bo11bo5bo21b4o3b3o
6b3obo$43bobobo9booboobo21bobb3o3boo4boo$37bo4b3obo11bo4boo22bo11bo$
36boo3bo17bobobobo22b3o7bobbo$36bobobbobo15bob4o24bob3o4booboo$40bobbo
16bo31boo8boo$40boo18boo40boo$40boo18b3o35bo$60booboo32boobo$55b3o3bo
3bo30boobbo$55bo6bo31bo$56bo8boo26bo4bo$58booboobbo21boo3boo3bo$57boo
7bo20bo3bobobo$87bobobobbo$57boboobo21boo7boo$58bo24boo3bobb3o$84bo3bo
bbobo$59b3o22bo$84bobboboo$55bo4boo19boobo6bo$54boo25bo$54bobobboo19bo
bb3o$58b3o19b3obbobo$57bobbo13boo5boo$52boo19boo5boo$52bobobboo16bo4bo
$52bobboboo18boobboo$56boo19boo$51bo3b3o$43boo5boo3boo$42boo5bo$44bo4b
obo$46boobbo$46boo!

Code: Select all

#C A diagonal c/4 period 28 tub puffer.
#C This uses a dirty period 28 puffer whose beehives are eaten.
x = 128, y = 126
9boboo$7b3oboobo$7bo3bobbo$bo5bo4boboo$oo6bo4bobo$obo3boo6bobo$4bo13b
3o5bobo$3bo4bo9bobbobboobobo$3bobbo11bo3boobo4bo$15boo4boobo$14boo11bo
bo$16bo$27b4o$26b4o3bo$26bo5b3o$34bo$17bo14bobo$16boo14bobo$16bobo13bo
bo$29boobboo$19boo8bo4bobb3o$19boo8bo3bo$26boobobboo8bo$15boboo7bo3bo
10bobo$14b4o8bob3obo9bo$14bo3boo12bo$19bobbo7bo$26bo3bobo$18boo3boboo
4bo12bo$18boo3boboboobobo10bobo3bo$19bo5bo17bobobbobo$19bo6bo17bo4bo$
20boo8bo$29boo$29bobo$51bo$32boo16bobo3bo$32boo16bobobbobo$51bo4bo$28b
oboo$27b4o$27bo3boo$32bobbo3boo17bo$38boo17bobo3bo$31boo3boboo10b3o4bo
bobbobo$17boo12boo3boboo10bo7bo4bo$17bobo12bo5bo12bo$17bo14bo20bo$20bo
12boo5bob3o7b3o$19bobo17boo4boo9b3o$19bobo18b6o5bobbobo13bo$11b3o5bo
34bobobboo8bobo$11bo7bobboo6boo19boo4bo12bo$6boo6boo3bobb3o5bo9bo10boo
boo5boo$6bobo3bo6bo4bobbobbobboo4b3obob3o6bobbob3o$6bo5boo4bo4bobb4o4b
o4bob3ob3ob3obboo$9bo4b3o10bobobbobobobobobbobbo7bob3o$9boo17boo5bobbo
bo3boob5o7bobbo14bo$19b3o6b3o4boo3booboo3bobbooboob3obobo12bobo$19bo6b
oo3boo3bo4b3obbo5bo5bo3boo13bo$20bobb3obobobo4boo3boo5bo7boo6bo$23bo3b
o3bo16bobbo6bo5bo$15boo7bo3bobbo18boboo10bo$15bobo11bo22bo8bo3bo$15bo
6boobo3bo17boobbo8boobo20bo$21boobbobobo3bo12boo15bobbo16bobo$17booboo
boob4obbo15boobo8bo3bo19bo$17bo4bo3bobbo18boobo14boo$17bo3boo4boo12b3o
4boobo9boo$17bo3bo5boo12bobbooboob3o10bo4b3o$20boobooboo14bobbobbo4bo
10bo$12bo3bobbo3boo3bo15booboo3bo4boo4boobbo3bo19bo$11boo3b3obbobobboo
19boo8bobo6boobo20bobo$11bobobbo29bobo8bo3bobboboobo21bo$23bo23boo11b
oo7bobo$14boo6b3o4b3o14boboo11boboo4bobo$16bo3boobo3booboo16boo10bo6b
oobo$20bobbobbo18boobobo10b3o3bo$18bobo3bobboo18bo12bobboo33bo$17b3ob
3o24bobo9boobobobo29bobo$17bo5bo3booboo15b3o10b3obbooboo28bo$19bo6boob
o16b3o6b3o5bo9bo$14b3o30boo6bo6bo6bob4o$14bo13b3o25bo5boobbo4bobbobbo$
17boo12boo25b3obbobbo9bobo$15bo12boo29bobo3bo39bo$15boo4boo5bo29bo5boo
11booboo22bobo$17bo3bobo3boo29boo4bo12boo3bo22bo$13bobbo4bo4bo4boo25bo
5bo14boo$5boo5boo10boboobbobbo24bo5boo16boo$5bobo3b4o9b3obobobo18boo
11b3obboo$5bo5bo11bo3bobo21bobbob4o5bobobo$9bobo11b3o3bo21bo3bo4boo4b
oo44bo$bboo4b5o10boobbobo23bo11bobo43bobo$bbobobbobbo13boobo3bo22b5o5b
obboo43bo$bbo3boo17boboboo23boobobo4b4obo$5boo18bo3bo27bobo$5bobbo16bo
bbo39boo$6boo17bo3bo33b3o$22bo6boo31bobo54bo$21boo3booboo31b4o52bobo$
21bobo7boo30bo55bo$27boobboo25b3o$24boo5bo21boo4bo$23b3o26boobboobo$
23bobo26bobobo4bo$24boo23b3obboboobbo65bo$24boo23bo7bo67bobo$25boo23b
oo5bobo66bo$26bo22b3obb3o$25bo24boo4bo$20boo25b3o6bo$20bobobbobo18boo
3bo$20bo3bobo19bobb4o$23boobbo18bo4boo$24bobo12b3o$18boo3boo14bo6bobo$
17boobob3o15bo4boobo$19bobo20b4obo$43boo$16boo$8b3o5boo3bobo$8bo6bobo$
9bo4boo$11b4obo$12boo!

There is no tub eater spaceship yet, so the tub puffer cannot be terminated to make an extensible spaceship containing tubs.

Since there is a pure period 28 beehive spaceship, it is now easy to create period multiplication reactions by seven, like I have for periods three and five.

Code: Select all

#C A diagonal c/4 period 504 (7 * 9 * 8) dirty rake.
#C This uses a period 72 rake and a period 28 beehive puffer whose
#C interactions multiply the input rake's period by seven.
#C Similar results will occur for other input rakes whose periods
#C are a multiple of four and not already a multiple of seven.
#C The output can be cleaned up using perturbations, eating spaceships,
#C and (if needed) redirections from glider duplicators.  Remaining
#C beehives in a final result would be eaten by a trailing spaceship.
#C David I. Bell, 31 January 2024
x = 486, y = 350
70boo$69boobboo$71boobo$69b3obboo$66boobboobboo$66bo4bobo$66bo4bobo$
67boobo$67boo$59b3obbobboo$59bo3bo3bo$49boobboo7bo3bo$48booboboo3b3o5b
o$49bobo4boobo7bo$46b5o21bob3o$45boo3boo17boobo4boo$38boo7boobo3bo14bo
bb6o$26boo10bobo3bob3o3boobbo12bo$25boo11bo3bo3boobobbo3bo10boo$boobbo
13boo5bo14boo4bobbobo13boo$oo4bo11boo5boo15boboboo6boboo3boobbobboo$bb
oobobb3o9bo4bobobboo21bo7bo3b5o$4boobbooboboo7boo3boob4o5boo12bobo5bo
3boboo$11bobobo6boo10bo3bobobboo5boboobo4boo3bo$13bo20bo3b3obboo4boobo
bbo3bo5bo21boo$14bobo11bo8bo5b3obbo7boo6boo10bo10bobo$16bo13boo10b4ob
3obo5bo5bobo7b4obo8bo$17bo20bo3bo5boobo5boboo10boboo4bo8bobo$18bo4bob
oo4b3o4b5obbooboo3boo15b4o3boboo7boobo$18boboobbo3bobbo5bo7booboo8b3o
8boo6boboo4bo5bo$21bobbobobboboo4bobbo3bo3bo3b3obbo4bo5boo3bo8boboo4bo
$22boo3bob3obbobo3bobb6oboo5boob3o6boo3b3obobbo$27bo4bo3bobobob3o8bo3b
obb3obo4bobbob5obo4bo$22bo3bo6bob6oboobbo6boo4bo5boboboobo4bo7boboo$
14bo6b4o6bo7bobo4boo4b3o3boo5boo5bo9b4o$13boo5bobboboo4bo7bo13boobboo
bboobo6bo5bo4b3o$13bobo4bob3o9bobooboo15b3o3bo3bo9b5o6boo$17bobbooboo
6boobo4bo17boobboo3bobo8b3o7b3o$17bo6boo7boo3bo23bobo9b3o7b4o$16bo3bo
13bo3bo22boo5bobbo3bobbo6boo$19boobobbo9boo4bo19bo3bo3b3o3bobboboo$15b
3o24bo18bobobo7bo$14bobooboo3bo15b3o$13bo3b5oboo$13bo8boobo19bo27boo$
13b6o4bobbo19bo25boo$14booboo7bo17b3o27bo$15bo10bo49boo$14boo10bo22bo
25bo5bo$15bobbo6bo24bo28boobo$15bo10bo21b3o29bo3bo$15bobbo57boobb3o$
16bo4booboo27bo22boobo$21bo3bo28bo9bo13bo3bo$21boboo3bo23b3o8boo11boo
5boo$26bo36bobo10b3o$28bo28bo9bo7boboo$25bo32bo7bo3booboobobbo$21bo3bo
boo27b3o7bo3boob3o$20boo3bo46boboo$20bobobboo34bo6bobbo4bo$25boo35bo5b
3o$24boo34b3o4bobbo$25boo41bobobo$24boo39bo7bo$22boobbo28boo9bobbo3bo$
22b3o29boo8b3o$22bobboo29bo3bo$58boo10bo$20boo35bo4boo4boobo$20booboo
29boboobo4bo3boobo$21bo31b6oboobbo5bo$22boo24bo4bobboo6bo$47boo6boobb
oo3bobbo117boobo$42b3obbobo10bobobobbo117bo3bo$42bo11boboo4bobobbo8boo
78bo28bo4bo$45bo4boobobobo5boo5bo4bobo74bobobo30boo$42bobbo4b3o7boobo
5bobo3boo73boobo3bo31bobo$43bobbo5boo6b3o7bo79bobb3o$44bo15boo82boo6b
oob5o24bo6boo$46boboo3bo3bo3boo80boo5bobo4bobbo22b5o4bobbo$48bob4o4boo
85bo4b3o5b4oboo5boo5boo4bo6boo$48boboobobo5boo9bo74boo11boo4boobo3bo3b
obo11bo$45b3ob4obo7bo8bobo73boo11bo3b4o5bo3bo5boboo6bobo$44bobo16bo7bo
bo85boboobo5b3o5boo4bo4bobo$44bo3boo6booboobo9bo19bobo63b3o8bo8bobbo6b
3o$44bob3oboo3boo5b5o23bo4bo62bobo17bo6booboo$47boob3obo8boobo22boo4bo
84bobobobbo$45b3o4bo37bo5bo73booboobbo$45b3o16boo12bo12bo5bo71boobbobb
obo3bo4bo$50boo3bo4boobo13bobo15boo74bo4bo6b4o$44bobo3boo3bo3boobboobo
10bobo12boobboo9b3o$43boobo5bo8boboo13bo28bobo50boo13boo3bo$52boboboo
9bo23b3o13bobbo48boo14boo3boboo$39b3o4bo5b3o10bo24bo3bobo8b3oboo50bo
14bo3bo3bo$39bo5boobobboobo33boo4boobo7boo56boo7b4o6boo$40bo4boobobbob
obboo3bo3b4o19boobo3boo6boobo24b3o28bo9bobbo$42b4obo3boo7boo3b4o18boo
13b3obo24bobb3o39bobo$43boo7bobbo4bobo23boo13bo5bo24bobo26bobbo4b4o$
52bo11boo20b3o3boo7bo4boo29bo20boobo7bo6boo$49boo4bo8b3o19bobbob3o3b3o
boo3boo27bo21boo4bo6bobboo$48b3o3b3o24bo4bobbo3boobbobbooboobo30bobo
19bobobbo8boo8b3o$46boo4bob3o7bo15boo5bobobboo3bobb3o27boobo6bo23bo18b
3o$46boobbobobobo7bobo13bobo5b5o6bo6bo22boo3bobbobbo20bobbo4boobb3o$
45bobobbobboo5bo28b3o31b3o4bobbobbo3bo21bobo3boo3boo$46boboo4bo4boo4b
3o22bo7bobobb3o17bo6bobbobbo3bo21bobo4bobboboo$44boobboo4bo4bobo3bobo
25bo3bo3boboo21bo3bo6bobo23boo3boo$44b5o3boboo8bo28bo4boo23bobbo8boo
26bo27bo$49bobbo9b3o28bo30bobbo6b3o53bobo$47b3obbobo8boo28bo31bo5bo3bo
54bobo$44bo3boo4bo38bo33boboboobo56bo$45boo7bobo36bo7boo26boo$48boo3b
oo43bobobo30bo$42boo4boo3bobbo40b3obo$42bobobbobboob3o62bo11bobbo64bo$
42bo3bobbooboo64bo78bobo$45b5o3bo64bo78bobo$46bo151bo$53bo$32bo17bobbo
67boo$31boo11b3obb3obbobo43boo7bo10boboo$31bobo10booboo7bo43boo7bobo8b
obbo81bo$45bobo3boo3bo54boo8b3o80bobo$34boo10bobobboo68boo81bobo$34boo
14bo3bo150bo$43b3o3bobo49bo25bo$25bo6boo3bo5bo3bobbo50bo3bobo4b3obboo
5b3o$24boo5bobbobobobboboo6b3o46boo4boo6bobo$24bobo3boobo3bobb3o8bobbo
46b3o4boo11boboo87bo$28bo9b3o11b3o46b4ob4o10bobooboo84bobo$27bo12bo10b
o3bo48bobo13bobo36b3o33b3o13bobo17b3o249b3o$27bobbo10bo12boo65bo39bo
35bo14bo20bo251bo$41bo9bo4bo103bo35bo35bo251bo$50b3obbobbo$52bobo4boo
113bo$47boobbobbobbobobo111boo44bo$47bo6bobobboo112bobo42bobo$47bobo9b
o64boo49bo42bobo$53bo6bo62bobbo4b3o42bo42bo$52boo6bo63boo47boboo$52bob
obboo115bo$56b4o$56boboo66b3o46boobo47bo$48bo77bobo39b3o3boo3bo45bobo$
47boo77b3o39bobb5o4bo44bobo$47bobobb5o61bo50booboo3boo47bo$51b6o39boo
20bo49b3o$50bo3boo40bobo$51bo44bo27boo53bo$97boo25boo35b3o4booboo5boo
53bo$97bobbo49boo9bobb3obboo7bobo51bobo$97bo51bobbo10bo10bo57bobo$99bo
bo47bobbo9boo5bo3b5o55bo$103bo58boobboo4boboo$101bobbo41boo4bo9boo3bo
5booboo$101bobbo8boo30bobobbobo10bo3bo3b3o7b3o$103b3o6bobo30bobboboo
13b3ob3obo7bo$99b3ob3o8bo29b5obo12b3obbo6boboo5b5o$95b3oboobb3o38bo3bo
15boo9boboo5boob3o$95bo7boo37boboo23boo8b3obboo3bo$96bo6boo37bobo3boo
18bo8boo6bo3b4o$99b5o44boo19boo9boo3bobbobboo$101boo35b3o8bo35bobo3boo
$100boo12bo23bo7boboboo37bob3o53bo$100boo10bobo24bo5bo4boo37bo56bobo$
99bobo11boo26boo3bo3bo38b4o53bobo$98boo42bo4bo99bo$98bobo89b3o$97bo41b
o$98boo36b4obo$136bo4bo112bo$137bo4boo109bobo$139bobb3o108bobo$143boo
109bo$140booboo$141boboo$141bobo112boo$142boo111bobbo$255bobbobboo$
157b3o96boo3boo$157bo$158bo$160boo$161bo3boo$164boo102bo$167boo98bobo$
161b6o100bobo$161bobboobo100bo$148boo13bo4bo$148bobo10bo6bo$148bo11bo
130boo$151bo7boo3bo108boo16boo$151boobboobobb3o109boo$155bo5bo122boo$
155bobo3bo121bobbo$153boboo3bo123boo$136boo14booboo$135boo15bobbo$137b
o16bobo$139boo9bo3bobboo129boo$138bo5bo3bobo137boo$142boobo3boo$143bo
3bo136boo$139boobb3o138boo$139boobo$127bo13bo3bo$126boo11boo5boo$126bo
bo10b3o$130bo7boboo$129bo3booboobobbo$129bo3boob3o$135boboo$131bobbo4b
o$131b3o$130bobbo$131bobobo$136bo$132bo3bo5$291boo$291boo10$317bo$316b
obo$316bobo$317bo4$324bo$323bobo$323bobo$324bo4$324b3o$$322bo5bo$322bo
5bo$322bo5bo$$324b3o$338bo$337bobo$337bobo$338bo4$345bo$344bobo$344bob
o$345bo4$352bo$351bobo$351bobo$352bo4$359bo$358bobo$358bobo$359bo11$
373bo$372bobo$372bobo$373bo4$380bo$379bobo$379bobo$380bo3$382boo$381bo
bbo$381bobbobboo$382boo3boo5$394bo$393bobo$393bobo$394bo3$417boo$399b
oo16boo$399boo$410boo$409bobbo$410boo4$414boo$414boo$$410boo$410boo19$
417boo$417boo!

BCNU,
-dbell

[dbell]

Here is a complete diagonal c/4 rake showing the period multiplication by seven reaction.

I switched the input rake from period 72 to period 116 since it is more illustrative to have the period not be a multiple of eight.

Code: Select all

#C A diagonal c/4 period 812 (7 * 29 * 4) sideways rake.
#C This uses a period 116 rake and a period 28 beehive puffer
#C whose interactions multiply the input rake's period by seven.
#C Some period 4 eating spaceships and three glider duplication
#C convoys are used to clean up the debris.  Similar results will
#C occur for other input rakes whose periods are not already a
#C multiple of seven.
#C David I. Bell, 1 February 2024
x = 2017, y = 1607
76b3o$76bo$77bo$79boo$80bo$75b3o$75bo$78boo$75bobboo$78bo$73boboo$72b
3o3bo$71b3obo3bo$58boo10b4obobbo$58bobo10bo$58bo6booboboboo$61bo3bo4bo
$61boobbo$61boo4b3obobo14boo$41boo8boobbo6boo3boo3bo15bobo$41bobo6boo
3b4o4boo23bo$27boo12bo4bo4boobb5obo29bo$26boo17boo3boo12boo24bobo$28bo
6b3o6boo3boo5boobobo28bobo$30boobb3obo3bo3bobobbo3bo8boo24bo$30b4o4bo
bbobbobobobbooboo3bo3boo25bo$32b3o3bobbo4bobobboo3bobo6bo8boobo8bo3bo$
33bo8boo6boobo20bo3bo6b3obo$29b3oboobobboobb3o3bob4o13b3o3bo4bo4boo$
29b3obbobobboobb3o9boboobo7bo3bo3boo5boo$33bobbo5b4o6boobo3boobobboo4b
oo11bo$28boo4bo8bo3bo11bo3bo3bo4bo$28bo10bobbo4bo15bobb4obboo3b3o3bo$
35bo3boo9b3o11bobbo3bo5bob4o$34b4obbo9bo13b3o5bobobboboobo$34bo4bo5bo
5bo21b3o6bo3bob3o$33b3obboo4boo7boo9b3o7b3o9bobo$37bo6bobobboo3bo20boo
6boo5bo$39bo8b3o3b3o28bobboo$34booboo9boboo4b3obboo$34bobobobo8b3o5bo
bboo$38boo6bo3boo6boo$35bobbo5b4ob3o7b3o$38bo4boobobobo7bo$35boobo4bo
14bo6bo$38bo5bo13boboobboo$33boobobobo8b3o12bobo$33bobbobobbo17bobbobo
$34bo4bobo6boo8bobbo3bo$41boo5b3o7bobbo$38booboo4bo4bo8bo$38booboo9bo
6boo$40bobo3boo$43bob3o$41bo3bo3bo16bo$46bo4bo13boo$43bo3boboobo7bo4bo
bo$39boo3bobb3obo7boo$30b3o5boo3boo3bo10bobo5boboo$30bo9bo5bo19boo$31b
o3bo6bo6boo11boobboo$33b3o7b7o12boobboo$32boobo3bo18bo4boo4boo$29boo4b
4obo16b4obb4o4bo$29bo5boobb3o4b3o8bobb3o3b3o$23boo4bo7bob3o17bo9bo$19b
o3bobo5b3ob3obboo18b5obbo$18boo3bo9boboo3b5o19bo4boo$18bobo5bo3b4o3boo
boo23boo$26bobb3obo3bobbo9bo8boo$20b3o3bo3bo5bobboo8bobo$19b3o6boo5bo
12b3obo5boo$21bobo4boo17b4o$23b5obo4booboo5booboboobo35boobo$24bo4bo4b
obo7bobooboobbo34bo3bo$22bobo12boo9boob3o34bo4bo$21b5obb3o6b3o14bobbo
32boo$20bobo4bo9b3o10bobo6boo31bobo$19boobob3o4b3o3boobbo8bobobo3boboo
$21boo5bobb3o3boo3bo8b3o6boo25bo6boo$26boboobo6bo3bo43b5o4bobbo$21bo6b
oo9bo15boobobo19boo4bo6boo$21bobo3bo12bo13boo3bo20bobo11bo$23bobboo7b
5o16bo10bo12bo5boboo6bobo$19boo5bobo6bo5bo18bo5bobo12boo4bo4bobo$19boo
7booboo3bob4o17bobo3bobbo12bobbo6b3o$16bo4bo5booboo8bo19bo5boo13bo6boo
boo$15boo4b3o6bo52bobobobbo$15bobo9bobboo9bobo$19bo4bobobbo6boo3bobbo
40bo4bo$18bo4bo3bobobbo3bobobbobbo41b4o$18bobbo6boo6bo3bobbo$27bo11boo
bo$24boboobb3o7bobo69boo50boobo$23booboobo10bo71bobo49bo3bo$22bo3bo6bo
7bo70bobo20bo28bo4bo$21bobbo3bo3bo8bo39boo30b3o15bobobo30boo$21bo4boo
bbo4boo6bo36bobbo29bobo13boobo3bo31bobo$20bobo3bo3boo3bobo3bobo37bobo
29b3o13bobb3o$20bo9bo4bo4boobo38bo30boo8boo6boob5o24bo6boo$20boboo6boo
6boboo47bo24bo7boo5bobo4bobbo22b5o4bobbo$21bo3bobooboo6bobbo45bobbo17b
o4b3o8bo4b3o5b4oboo5boo5boo4bo6boo$23bobbo11bobo45bo3bo16b5o6bo7boo11b
oo4boobo3bo3bobo11bo$21boobbo4bo55bo20bo6booboo7boo11bo3b4o5bo3bo5bob
oo6bobo$21bobo6bo50b3obo52boboobo5b3o5boo4bo4bobo$23b3o3boo50b5o21bob
oo26b3o8bo8bobbo6b3o$18boo3bo57bo7bo18bo28bobo17bo6booboo$17boo4bo3bo
3bo52b4obo11bo15boo40bobobobbo$19bo65bo14b5obboobo6bobo29booboobbo$21b
obb3oboo70bobboobb4o6bo30boobbobbobo3bo4bo$21boobo55boo20bobo3boobboob
oo33bo4bo6b4o$72b3o5boo21bo11bo$7boo12bo3b6o41bobb3o15boo5bobbob3o3bo
27boo13boo3bo$7bobo10bob6o3bo41bobo18bo8bobboobbo4bo5bo16boo14boo3bo$
7bo15b3obbo3boo44bo14bo7b3obbo3bo9boo18bo14bo3bo$10bo9boo5boo47bo25bob
obob3oboo6bob5o15boo7b4o$10boo10boobboboo48bobo14bo6bo3b4o3bobboo5bo4b
o12bo9bobbo$10boo8boo3boobo52bo10bo9bobo3bo7bobbobbo5bo26bobo115boo$9b
oo8boo4bobo50bobbo10bobbo12bo6bobboo10bo9bobbo4b4o109b3o9bobo$oo6boo3b
o7bo4bo51bobbo9b3o13bo9bo6booboobbo5boobo7bo6boo104bobb3o6bo9bo$obo3b
oobbobobobooboo5b4o48bobbo9b3o14bo14boobboo3bo3boo4bo6bobboo108bobo16b
oobo$o5b3o4bo4boo7bobbo60bobbo30bobo10bobobbo8boo10bo102bo4boobbo3boo
bbo$3bo10bo12b5o47bobo10bobo32bobbobo10bo19bobo99bo6boobboboobbo$3boo
11boo10bobbo49bo10b3o32boo3bo7bobbo4boobb3o8bobo101boboobo3b5o$16boo
12b3o95b3o10bobo3boo3boo10bo111boo$26b3obobo42boo4bo46bo12bobo4bobbob
oo113bobb6o$26boboobo3bo38boo4boo48bo11boo3boo120b7o$26boboboo3boo39bo
bboboo47bo11bo128b3o$23boo5bo6bo40booboo88bo$22boo7bo3bo134bobo$24bo
10bo36b3obbo64boo26bobo$28boo5boo35bobb3obo61bobo27bo$28bobo4bo37b6o
64bo$28bo3bo$31boo31bo6boo$32bobbo27boo5bobbo104bo39boo$23boo38bobo3b
oobo104bobo37boobo$23bobo3b3o35bo109bobo38bo$23bo3bo4bo33bo94b3o14bo
39bobbo$26boo38bobbo15b3o73bo56bo3bo$26bo5bo52bobb3o64b3o6bo53bobbo$
86bobo66bo6bobbo$91bo64bo6boboo16boo$89bo68boo3boboo16boo28boobobb3o$
91bobo65bo3bobo47boboobbobb3o$84boobo6bo68boboo46boboo6boo$83boo3bobbo
bbo58b3o3boo6bo46bo$77b3o4bobbobbo3bo58bobboobbob3obo47boo$77bo6bobbo
bbo3bo59bobbobboobo50boo$80bo3bo6bobo62boobooboobo26bo13boobo3b3o7boo$
77bobbo8boo71bobbo25bobo12bo3bobbobbo5boo$78bobbo6b3o70boobbo25bobo12b
o4bo4boo5boo$79bo5bo3bo102bo15bobobbobbo3b3o$81boboboobo119boob4o3bob
3o$83boo123boobobo$87bo119bobo6boo8boo$199bo7bobbobobobo9bobb3o$84bobb
o110bobo11bo3b4o6bob4o$198bobo6boo3bo3boboobboo3bo3bobo$199bo9bo11boo
bbo9bo$213boo7b4o7b3o56boo$213boo9bo4b7obo53boo$229bo55boo5bo$206bo23b
obbo3bo46boo5boo$205bobo25bo3bo48bo4bobobboo$205bobo25bobbo51boo3boob
4o$206bo81boo10bo$234bobo63bo$235bo58bo$294bo3bo$293booboo$293bo3boboo
$271bo22boob4o16bo$270bo28boobbo14bo$270b3o27boobo12b3o$301bo$258boo
41boo$220bo37bobo40b3o$219bobo36bo42boobbo$219bobo37boo44bobo$220bo38b
obbo39bo3bobo$259bo42b6o$261bobo40b3o$265bo$227bo35bobbo$226bobo34bobb
o$226bobo36b3o$227bo33b3ob3o$257b3oboobb3o$257bo7boo$258bo6boo31bo$
234bo26b5o31boo$233bobo27boo32bobo$233bobo26boo$234bo27boo36boo$261bob
o36boo$260boo33boo$260bobo32bobboo$241bo17bo35bo3bo$240bobo17boo34boob
o$240bobo52bo3boo$241bo50boo$274boo16bo7bo$273boo17bo$275bo18b3o$248bo
28boo15b6o75boo$247bobo26bo5bo11bo68b3o9bobo$247bobo30boobo10boo3bo63b
obb3o6bo9bo$248bo32bo3bo8boobbo65bobo16boobo$277boobb3o11b3obb3o66bo4b
oobbo3boobbo$277boobo16bo4bobo11b3o48bo6boobboboobbo$265bo13bo3bo13b4o
bobo11bo52boboobo3b5o$255bo8boo11boo5boo11b4obobo14bo58boo$254bobo7bob
o10b3o20bo15bobbo50bobb6o$254bobo11bo7boboo37bobbo50b7o$255bo11bo3boob
oobobbo37bo54b3o$267bo3boob3o43bobo$273boboo45boo$269bobbo4bo45bo$262b
o6b3o50boo$261bobo4bobbo49b3o$261bobo5bobobo42boobooboo$262bo11bo41bo
3boboo$270bo3bo41bob3obbo$321boo$320b3o$269bo$268bobo$268bobo48b3o$
269bo49b3o$$318boo$271boo45bo$270bobbo122boo$270bobbobboo117boo$271boo
3boo111boo5bo$388boo5boo$329boo59bo4bobobboo$329bobo60boo3boob4o$329bo
8b3o51boo10bo$283bo48bo3booboo63bo$282bobo47boobo62bo$282bobo50b3o62b
oo$283bo$332bo3bobo4bo$331boobob3o3b5ob4o$331bo3bo8b3o4b3o$330boo5bo3b
o4bob3o$330bo6bobbobbo6bo$331bo8bo10bo3bo$337boboobo7bo$277b3o56boo13b
obbo$336bobo13bo$$338bo$286bo49boo$286bo$286bo49boo$336boobobo$339bo3b
o$336boo5bo$338b5o4$302b3o3$311bo$310bobo$310bobo$311bo4$318bo$317bobo
$317bobo$318bo58boo$376boo3bo$378boboo$380b3o$325bo54bo$324bobo55b3o$
324bobo48boobo4boo$325bo49boboo3bobo$369boo4boboo3b3o$368boo6bo5b3o$
369bobo4boo4bobo$325b3o41b3o4boobboo$369boo6bobo$323bo5bo41bobo3boo3bo
$323bo5bo47b4o$323bo5bo43bobo$375b4o$325b3o47b4o$339bo36boo$338bobo$
338bobo$339bo4$346bo$345bobo$345bobo$346bo4$353bo$352bobo$352bobo$353b
o11$367bo$366bobo$366bobo$367bo4$374bo$373bobo$373bobo$374bo4$381bo$
380bobo$380bobo$381bo4$386boo$386boo6$395bo$394bobo$394bobo$395bo4$
402bo$401bobo$401bobo$402bo4$409bo$408bobo$408bobo$409bo11$423bo$422bo
bo$422bobo$423bo3$559boo$430bo127boo$429bobo128bo$429bobo130boo$430bo
130bo5bo$565boobo$566bo3bo$562boobb3o$437bo124boobo$436bobo111bo13bo3b
o$436bobo110boo11boo5boo$437bo111bobo10b3o$553bo7boboo$552bo3booboobo
bbo$552bo3boob3o$444bo113boboo$443bobo108bobbo4bo$443bobo108b3o$444bo
108bobbo$554bobobo$559bo$555bo3bo$451bo$450bobo$450bobo$451bo4$458bo$
457bobo$457bobo$458bo4$465bo$464bobo$464bobo$465bo4$472bo$471bobo$471b
obo$472bo3$474boo$473bobbo$473bobbobboo$474boo3boo5$486bo$485bobo$485b
obo$486bo8$480b3o4$489bo$489bo$489bo8$505b3o104bo$613bo$611b3o$514bo$
513bobo$513bobo$514bo4$521bo$520bobo$520bobo$521bo4$528bo$527bobo$527b
obo$528bo4$528b3o$640boo$526bo5bo107boo$526bo5bo$526bo5bo$$528b3o$542b
o127b3o$541bobo126bobb3o$541bobo127bobo$542bo133bo$674bo$676bobo$669b
oobo6bo$549bo118boo3bobbobbo$548bobo111b3o4bobbobbo3bo$548bobo111bo6bo
bbobbo3bo$549bo115bo3bo6bobo$662bobbo8boo$663bobbo6b3o4boobo7b3o$664bo
5bo3bo5bo3bo6bo$556bo109boboboobo6bo4bo7bo7boo$555bobo110boo12boo7bobo
4boobo$555bobo114bo11bobo4b3obobboo$556bo133bo3boobboo$669bobbo13boob
4oboo$687b7o$650boobo$650bo3bo$650bo4bo$652boo$654bobo$$649bo6boo$648b
5o4bobbo$570bo71boo4bo6boo$569bobo70bobo11bo$569bobo70bo5boboo6bobo$
570bo72boo4bo4bobo$643bobbo6b3o$643bo6booboo$645bobobobbo$577bo$576bob
o68bo4bo$576bobo69b4o$577bo4$584bo$583bobo$583bobo$584bo4$589boo$589b
oo4$711bo$710boo$598bo105bo5bobo$597bobo103boo$597bobo103bobo3boobobo$
598bo108bo7boo$706bo4bo5boo$706bobbobb6o$$605bo$604bobo105boobboo$604b
obo105bob4o$605bo106bo4bobo$720bo$719b3o$$612bo106bo$611bobo62b3o$611b
obo62bo42boobo$612bo66bo39boob4o$676bobbo40bobb4o$677bobbo40boo$678bo$
680bobo$682boo$683bo$682boo$681b3o$676boobooboo$676bo3boboo$626bo49bob
3obbo$625bobo53boo33boo$625bobo52b3o32boo$626bo90bo$719boo$679b3o36bo$
679b3o$633bo79b3obobbo$632bobo43boo33bobbo$632bobo43bo37bobbo$633bo80b
o$714b4o$693bo16b3o4bobo$692boo16bobbo$640bo51bobo17bo$639bobo69boo3b
oo$639bobo53boo14boo3bobo63boobo7b3o$640bo54boobb3o9b3obbo65bo3bo6bo$
699boobo13bo65bo4bo7bo7boo$697bo4bo10boboob3o63boo7bobo4boobo$696b3o4b
o11boo5bo12boo49bobo4b3obobboo$647bo48bo5bo11b3o6bo11bobo54bo3boobboo$
646bobo34boo12bobobboo16bobo12bo52boob4oboo$646bobo33boo32boboo16boo
51b7o$647bo36bo9b3o39bobbo$686boo6booboo37bo$686boobboobbob3o39bobo$
689boobobboo45bo$654bo35bo4boo43bobbo$653bobo31boo3bo47bobbo$653bobo
31boo53b3o$654bo32bo50b3ob3o$688booboo41b3oboobb3o$690bobo41bo7boo$
735bo6boo$661bo76b5o$660bobo77boo$660bobo76boo$661bo77boo$738bobo$737b
oo$737bobo$668bo67bo$667bobo67boo76bo$667bobo144boo$668bo139bo5bobo$
807boo$807bobo3boobobo$747b3o61bo7boo$675bo71bo9boo51bo4bo5boo$674bobo
71bo6b3obo50bobbobb6o$674bobo73boobboo$675bo75bo$755bo$751boo3bo$677b
oo71boboboo5boobboboobo$676bobbo70bobobbobooboo3boboobo$676bobbobboo
65bo4boo6bobo6bo$677boo3boo65boo9bo7boobo$749boo7b3o10bo$757bo10bobbo$
755bo4bo10bo$754boobbo10boo$689bo65boo$688bobo64boo$688bobo64b3o$689bo
$755bobo$755bobo$755boboobo$755boobbobo$756bo5bo$756bo$761bo$683b3o73b
o4$692bo$692bo$692bo8$708b3o85bo$795b5o$795bobboo$717bo79boobo$716bobo
$716bobo81bobo$717bo$793b3o6b3o$788bo4bobb3o4b3o$787boo5boob5ob3o$724b
o62bobo3b3o4booboo17boo$723bobo73bobo19bobbo$723bobo63b3o6bobbo15bobbo
3bo$724bo63b3o7bo16boobo5boo$790bobob4obbo14boobo6bo$792booboo19b7obo$
792b6o25bobo$731bo91bobo$730bobo90bobo$730bobo90bo$731bo$$827boobo$
828boo$731b3o$$729bo5bo$729bo5bo$729bo5bo$$731b3o$745bo$744bobo$744bob
o$745bo4$752bo$751bobo$751bobo$752bo4$759bo$758bobo$758bobo$759bo11$
773bo$772bobo$772bobo$773bo4$780bo$779bobo$779bobo126bo$780bo125bobo$
907boo3$787bo$786bobo$786bobo$787bo11$801bo$800bobo$800bobo$801bo4$
808bo$807bobo$807bobo$808bo4$815bo$814bobo$814bobo$815bo11$829bo$828bo
bo$828bobo$829bo4$836bo155bo$835bobo153boo$835bobo153bobo$836bo$994boo
$994boobb3o$998boobo$843bo152bo4bo$842bobo150b3o4bo$842bobo150bo5bo$
843bo138boo12bobobboo$981boo$983bo9b3o$985boo6booboo$850bo134boobboobb
ob3o$849bobo136boobobboo$849bobo137bo4boo$850bo135boo3bo$986boo$986bo$
987booboo$857bo131bobo$856bobo$856bobo$857bo4$864bo$863bobo$863bobo$
864bo4$871bo$870bobo$870bobo$871bo$1004boo$1004boo$$878bo$877bobo$877b
obo$878bo3$880boo$879bobbo$879bobbobboo$880boo3boo5$892bo$891bobo$891b
obo$892bo8$886b3o4$895bo$895bo$895bo8$911b3o3$920bo$919bobo$919bobo$
920bo4$927bo$926bobo$926bobo$927bo4$934bo$933bobo$933bobo$934bo4$934b
3o$$932bo5bo$932bo5bo$932bo5bo$$934b3o$948bo$947bobo153boobo$947bobo
153bo3bo$948bo154bo4bo$1105boo$1107bobo$$955bo146bo6boo$954bobo144b5o
4bobbo$954bobo138boo4bo6boo$955bo139bobo11bo$1095bo5boboo6bobo$1096boo
4bo4bobo$1096bobbo6b3o15boo$962bo133bo6booboo4b3o9bobo$961bobo134bobob
obbo6bobb3o6bo9bo$961bobo149bobo16boobo$962bo137bo4bo12bo4boobbo3boobb
o$1101b4o11bo6boobboboobbo$1118boboobo3b5o$1127boo$1119bobb6o$1082b3o
35b7o$1082bobb3o34b3o$1083bobo$1088bo$1086bo$1088bobo$976bo104boobo6bo
$975bobo102boo3bobbobbo$975bobo96b3o4bobbobbo3bo$976bo97bo6bobbobbo3bo
$1077bo3bo6bobo$1074bobbo8boo$1075bobbo6b3o$983bo92bo5bo3bo$982bobo93b
oboboobo$982bobo95boo$983bo100bo$$1081bobbo$$990bo$989bobo$989bobo$
990bo11$1004bo138boo$1003bobo136boo$1003bobo130boo5bo$1004bo130boo5boo
$1137bo4bobobboo$1139boo3boob4o$1139boo10bo$1011bo139bo$1010bobo132bo$
1010bobo132bo3bo$1011bo132booboo$1144bo3boboo$1145boob4o$1150boobbo$
1018bo132boobo$1017bobo132bo$1017bobo89boo41boo$1018bo90bobo40b3o$
1109bo42boobbo$1110boo44bobo$1110bobbo39bo3bobo$1110bo42b6o$1112bobo
40b3o$1116bo$1114bobbo$1114bobbo$1116b3o$1112b3ob3o$1032bo75b3oboobb3o
$1031bobo74bo7boo$1031bobo75bo6boo31bo$1032bo79b5o31boo$1114boo32bobo$
1113boo$1113boo36boo$1039bo72bobo36boo$1038bobo70boo33boo$1038bobo70bo
bo32bobboo$1039bo70bo35bo3bo$1111boo34boobo$1146bo3boo$1143boo$1046bo
78boo16bo7bo$1045bobo76boo17bo$1045bobo78bo18b3o$1046bo81boo15b6o75boo
$1127bo5bo11bo68b3o9bobo$1131boobo10boo3bo54bo8bobb3o6bo9bo$1132bo3bo
8boobbo55bo9bobo16boobo$1053bo74boobb3o11b3obb3o51bo14bo4boobbo3boobbo
$1052bobo73boobo16bo4bobo11b3o40bo7bo6boobboboobbo$1052bobo61bo13bo3bo
13b4obobo11bo40bobbo8boboobo3b5o$1053bo61boo11boo5boo11b4obobo14bo37bo
3bo16boo$1115bobo10b3o20bo15bobbo40boo8bobb6o$1119bo7boboo37bobbo36boo
bbo9b7o$1118bo3booboobobbo37bo37b5o12b3o$1060bo57bo3boob3o43bobo31b6o$
1059bobo62boboo45boo29booboo$1059bobo58bobbo4bo45bo23boo6bo$1060bo59b
3o50boo23b3o$1119bobbo49b3o22bo3bo$1120bobobo42boobooboo25boo$1125bo
41bo3boboo$1067bo53bo3bo41bob3obbo25bobbobo$1066bobo103boo26boboobbo$
1066bobo102b3o28booboo$1067bo134booboo$1203bobo$1170b3o31bo$1170b3o$
1074bo127bo$1073bobo93boo30bobo$1073bobo93bo31bobbo$1074bo127boo43boo$
1246boo$1240boo5bo$1239boo5boo$1081bo98boo59bo4bobobboo$1080bobo97bobo
60boo3boob4o$1080bobo97bo8b3o51boo10bo$1081bo101bo3booboo63bo$1183boob
o62bo$1186b3o62boo$1083boo$1082bobbo97bo3bobo4bo$1082bobbobboo92boobob
3o3b5ob4o$1083boo3boo92bo3bo8b3o4b3o$1181boo5bo3bo4bob3o$1181bo6bobbo
bbo6bo$1182bo8bo10bo3bo$1188boboobo7bo$1095bo91boo13bobbo$1094bobo90bo
bo13bo$1094bobo$1095bo93bo$1187boo$$1187boo$1187boobobo$1190bo3bo$
1187boo5bo$1189b5o$1089b3o4$1098bo$1098bo$1098bo8$1114b3o$$1228boo$
1123bo103boo3bo$1122bobo104boboo$1122bobo106b3o$1123bo107bo$1233b3o$
1226boobo4boo$1226boboo3bobo$1130bo89boo4boboo3b3o$1129bobo87boo6bo5b
3o$1129bobo88bobo4boo4bobo$1130bo89b3o4boobboo$1220boo6bobo$1222bobo3b
oo3bo$1228b4o$1137bo86bobo$1136bobo87b4o$1136bobo87b4o$1137bo89boo11$
1151bo$1150bobo$1150bobo$1151bo4$1158bo$1157bobo$1157bobo$1158bo$1314b
o$1315bo$1313b3o$1165bo$1164bobo$1164bobo$1165bo11$1179bo$1178bobo$
1178bobo$1179bo4$1186bo$1185bobo$1185bobo$1186bo4$1193bo$1192bobo$
1192bobo$1193bo11$1207bo$1206bobo$1206bobo$1207bo4$1214bo$1213bobo$
1213bobo$1214bo4$1221bo$1220bobo$1220bobo$1221bo4$1408boo$1407boo$
1409bo$1411boo$1410bo5bo$1414boobo$1415bo3bo$1235bo175boobb3o$1234bobo
174boobo$1234bobo162bo13bo3bo$1235bo162boo11boo5boo$1398bobo10b3o$
1402bo7boboo$1401bo3booboobobbo$1242bo158bo3boob3o$1241bobo163boboo$
1241bobo159bobbo4bo$1242bo160b3o$1402bobbo$1403bobobo$1408bo$1249bo
154bo3bo$1248bobo$1248bobo$1249bo4$1256bo$1255bobo$1255bobo$1256bo4$
1263bo$1262bobo$1262bobo$1263bo4$1270bo$1269bobo$1269bobo$1270bo4$
1277bo$1276bobo$1276bobo$1277bo4$1284bo$1283bobo$1283bobo$1284bo3$
1286boo$1285bobbo$1285bobbobboo$1286boo3boo5$1298bo$1297bobo$1297bobo$
1298bo8$1292b3o4$1301bo$1301bo$1301bo8$1317b3o3$1326bo$1325bobo$1325bo
bo$1326bo4$1333bo$1332bobo$1332bobo$1333bo4$1340bo$1339bobo177b3o$
1339bobo177bobb3o$1340bo179bobo$1525bo$1523bo$1525bobo$1518boobo6bo$
1517boo3bobbobbo$1511b3o4bobbobbo3bo$1511bo6bobbobbo3bo$1514bo3bo6bobo
$1511bobbo8boo$1512bobbo6b3o$1354bo158bo5bo3bo$1353bobo159boboboobo$
1353bobo161boo$1354bo166bo$$1518bobbo$$1361bo137boobo$1360bobo136bo3bo
$1360bobo136bo4bo$1361bo139boo$1503bobo$1608b3o403b3o$1498bo6boo103bo
405bo$1368bo128b5o4bobbo99bo405bo$1367bobo121boo4bo6boo$1367bobo121bob
o11bo$1368bo122bo5boboo6bobo$1492boo4bo4bobo$1492bobbo6b3o$1492bo6boob
oo$1494bobobobbo$$1496bo4bo$1497b4o4$1382bo$1381bobo$1381bobo$1382bo4$
1389bo$1388bobo$1388bobo$1389bo4$1396bo$1395bobo$1395bobo$1396bo11$
1410bo$1409bobo$1409bobo$1410bo4$1417bo$1416bobo$1416bobo$1417bo4$
1424bo$1423bobo$1423bobo$1424bo11$1438bo$1437bobo$1437bobo$1438bo4$
1445bo$1444bobo$1444bobo$1445bo4$1452bo$1451bobo$1451bobo$1452bo3$
1516bo$1459bo56bobo$1458bobo55boo$1458bobo$1459bo4$1466bo$1465bobo$
1465bobo$1466bo4$1473bo$1472bobo$1472bobo$1473bo4$1480bo$1479bobo$
1479bobo$1480bo3$1462boobbo$1461boo24bo$1463booboobo16bobo$1465bobobbo
15bobo$1464bob5o16bo$1463boob3o$1463boo$1463bobbo22boo$1454bo7booboboo
19bobbo$1453boo6bo3boo3bo17bobbobboo$1453bobobb4oboo5bo18boo3boo$1455b
ob3o3bo5bobbo$1456bo4boo$1453boboboobobo7b4o$1455b4obbo$1457boobbo9b5o
25bo$1455bobo6bo9b3oboo20bobo$1456boo4boobbo7bobobobo19bobo$1466bobo4b
o27bo$1464bobobo4boo$1466bobobbooboob3o$1468b3oboobo6bo$1468boo3boobo
3bob3o$1469boo4bobo3bo6booboo$1473bobbobboo7bob3o$1469boobbo6bo7bobboo
bo$1469bo3bo3bo17boo$1470bo4boboo11bo3boo$1476bo13b4o$1474boo14bo$
1475bo13bobboo$1475bo13b3o$1479b3o7bobobobo$1479bo6b4o6boo$1480bobb3ob
o$1479b3obbobboobbo3booboo$1479b3obbobo$1484bobobo8bobbo$1481bobo13bo
bbo$1482boo4bobbo6bobbobboo$1482bo6bobo9bobobbo13b3o$1489bo3boo4bo6bo$
1491bo3bo3boo$1491bo5boo5bo12bo11bo$1493boo3bobbooboo3bo6b6o6bobo$
1495boo3bo3b4obo6bo6bo4bobo$1500bobbo6bo6bo5bo5bo$1496bo5bob3o14boobo$
1495bo3b3obobo12boo$1495bo4booboo13bobo$1496boo3bobo32bo$1501bo15b4obo
12bobo$1508boo7bo17bobo$1500boo5boobo4boo5bobo11bo$1502bo5bo3boobobbo
4b3o$1508bo3bobbo4bo3bobo$1508bo4bobo3bo6boo$1508bobbo13b3o15bo$1511bo
3bobo10bo13bobo$1509boo7bo7b3o3bo9bobo$1511bo5b3o7boboboboo8bo$1518bo
bbo5b3oboboo$1519b3obo4bob3o$1520boob3o4bobo$1522booboo3boo$1524boo4bo
bboob3o$1526b4obobbo$1524b3obobob3o3bo$1523bobboo3bo$1524boo3bobo4bo$
1524boo3b3o$1538boo17bo$1529bo3bo3boo17bobo$1529bo9bo16bobo$1529bobo9b
oo14bo$1540bo$$1539bobbo$1536boobo24bo$1535boo4bo21bobo$1537bobobbo5bo
14bobo$1542bo4boo15bo$1539bobbo4bobo9boo$1540bobo16bobo$1525b3o12bobo
4boo10bo$1525bo15boo4bo14bo8bo$1526bo14bo9boo8bobo6bobo$1528boo18boob
4o6bo3boo3bobo$1527boo18bo7bo5bobobo5bo$1520boo26bo6bo4bo6bo$1520bo5bo
3bobo27bobobbob3o$1520bobo3bo4bo6b3o11bo6bo3bo5b3o$1514b3o4bobobbo4bob
obobbo9boo5boo6bobobbo$1514bo6boboobboboobbob3obboboo3boobbobob4obbo3b
oo4bo$1515bo4boo16b3o3boboo3boo3b3o3boobob3o$1517b5o3bo9booboobb3oboo
bb4obo10boobbo$1518boo4bo3boo9booboo5bo4boob4obb3o5bo$1528bobo3bobobb
3obboobb3o22bo$1528bo3bo3bo4bobbobbobo5b3obboboobooboboobo$1531boo4bob
o17bobobbobb3o3bo$1532boboboob3o18b3o3boo4bo$1523b3o6boboobobo30boo$
1523bo9booboobbo15bo4boo6bobobo$1524bo5boo3boo3bo14b4o9bo4boo$1526bob
oo4boo4bo14bobboo9bob3obo$1525b3oboobbo23boobo8bobb4o$1529bob5oboo11b
oo$1525bobobboobboo14bobbobbobbo10b3o4boo$1526bobbobbobbo14bo3boo4boo
9boo3bo$1528b3ob3o17bo6b3o9bo3bo3bo$1520boobbooboobo4boo16boo10b3o7b3o
bo$1519boo3booboob3o20b3ob3o5bo5boo5bo$1521bo3boo3bo23boo10bobboo4bob
3o$1523b3o4boobo4boo29bobb3o3bo$1524boo3boobbobb3obo13boo15bobbo$1529b
o3boobo17b3o12bo3bobbobbo$1529bob5o21boo9boob5o$1526boo9bo17bobo10boo
4boo$1525boo4bob3obboo15bo12boo4bobbo$1526bobo3b4o28boo5boobo$1523b3o
14bo13boo8bobo4b3obobobooboo$1523bobbo8boo19bo7bo5bo10bo$1523bobo12bob
o27bo5bo4boobb3o$1524bobo10bobbo26boobobobbo9boo$1524bo42bobbobo15boo$
1523boobobb3o4bobo27boo4bobbo10boboo$1523boo4bo5b3o48bo3bo$1521bo8bo3b
oobob3o24bobobbobbo12bo3bo$1513b3o4bobo10bobboo29bo4boo4bo12bo$1513bo
5boo11boo3bobbo18b3o3booboo6boobo$1514bo4bobo9boob3o22bobboo11boobbo$
1516b3obbo13bobobbo19bobbo5bo3boobbo$1510b3o4bo15boobbobo22b3o8b3o$
1510bo4b3o15boboboo27boo5bo$1511bo4bo17bo31boo5bobboo$1513bobo60boo$
1514bo18boboo35bo$1515bo19bobobo32b3o$1530boo4bobbo31bobbo$1529boo5b3o
31boo$1531bo5b3o27b6o$1533bobo3bobo20bo4b3o$1532boboo4bo20boobbo3bo$
1531boobboo24bob3obo$1531b6o21boobobbobbo$1558bob3obb3o$1534bo23boboo$
1534bo24bo4bobbo$1534bo24b3obbo$1556boboboobbobo$1528b3o3boo19b3obbo$
1528bo28bob3o$1529bobboo20boo4boo$1532booboo11boo5bo$1527bo4bo15bobo4b
o$1526b4oboo15bo6boo$1526bo24bo3boo$1527boo3bo18boo$1526b6o$1517boo6b
oo$1517bobo3boobbo$1517bo5b3o$1520bo$1520boo!

BCNU,
-dbell

[dbell]

Here is an application of the diagonal c/4 edge shooter.

Code: Select all

#C A diagonal growing spaceship with the fastest possible front end.
#C The front moves at c/4 and contains two period 232 rakes whose
#C gliders are turned into backward gliders by two edge shooters.
#C The back consists of a block which is hit by the backwards gliders
#C and moves forwards at 3c/452 (0.006637c).  Replacing the rakes
#C with higher period ones will lower the back end's speed.
#C David I. Bell, 1 February 2024
x = 631, y = 630
378b3o$378bo$379bo$381boo$382bo$$379boo$371b3o5boo$371bo6bobo$372bo4b
oo$374b4obo$375boo$379bo$378bobo$379bobo$346boo$345boo32bobboo$347bo
18bo12bobboo$326boo21boo14boo13bo$325boo3bo6bo5boo3bo16bobo9boboo$327b
oboo5boo5boo12b3o12boboboobo$329b3o3bobboboo3boo3bo4boo3boboo4boobobbo
bobo$329bo4b5o7bo7bobbobobbo6bobbobbo12bo$324b3o4boobbo5boo3bobbo3bo5b
obob4o5boobo11boo6b3o$324bo7b4obo10bo3boobo8bo3boobboo13bobo5bo$325bo
6bobbobo22bobobo3bobb3obboo18bo$281bo45b3obbo4bobobboo4bo3b3oboo3bo6bo
bboobbooboo4b3o11boo$280boo50bo3bo4boobbobobob3obbo3bo5bo4boobobbob3o
bbo12boo$280bobo7boo38boo3bobb3obb3o4bo4bo4bo7bobbob4obboboob3o3b3o$
287boobo31b3o3bob4obo3boo3bo3b3obbo10bo3bobbo3bo3bobo3bo4bo5bo$283boo
bboo28boo3bo4b3o5bo9b3o4bo3b5ob3o6bo8boobooboo3bo4bo$283boobboo28bobo
5boboo8b3o4boobo4bo4boboo5bo5bo8b3oboobo4bobbo$284boo31bo3bo3bobo9boo
5bo4bobbobbo17bo9boo7b3obbobo$284b4obo5bo9boo13boo3b4o8boo15bo18bo$
283boboboobobb3obboo5bobo12bo11boo$282boo8boobobbobbobo15b5oboo3bobo9b
oo12b3o26boob4obbo$282boo3b3o3bo5bo3boboo15booboobbo3bo8bobo3b3o5bo29b
o3bo$282bo10bobbobo23bobooboo3bob5o3bo5bo8bo29bo$283b3o9bobb9obboo6bo
4bo4bo4bob6obbobo4bo9b3o$287boobbooboobobbo6boboo5boo3boboo4bo5boo3bob
obo6bo$287boo3boo5bo5bo5bo4bobo3b8o11bobboo4b4o4boobo$278b3o3boo20b5o
bbo9b5o9bo5boobb3o4boob4o$278bo4bobbobbobo16b4o7bo18boo11boo$279bo6b5o
11boo8bobbobobbo26bobbo5b3o$282bobobb3o5boo4boobo11boobbo4booboo18boo$
281boo4b3o4boo5bo10boo6bo$280boob3o10bo3b3o8boobo3bobo7bo$290boo9bo7bo
boobboo3bo6boobboo$283b3o11boo3bo4boo7boobbo5bo3boobo$282bo4bo8boobobo
3boboo4boboobboo4boobboobbo$279boboo3bo5boobb7obbobbo6bo3bo5bobb4obo4b
oo$278b4ob5o4bobo3b4o3bo8bobo8b3o3boo4bobbo$278bobo3boobobobbo16boo4bo
22boo$286boobo5bo$284bobbo7b3o36b3o$278b3obboo3boo7bo36bobo$279boobobb
o11boo34bo3bo$279boobo5bo9boo22boo9bo4bo$272b3o4boo4bobbo9bobob3obboo
12boo6boo6boo$272bo7bobobo4boo9boo4bo3bo5boo4bobo4boo3booboo$273bo14b
oo9bobobbo5bo4boo5boobo10bo14bo$275b3obbobo15boobobbobb3o7bo5bobo25bo$
276b3o10bo8bo7bo12boobbobo$278boo4bo5boo27b4obbo68boo$279boboboo7boobo
8b3o14boobboo66boo$274b3o4bobobo3bo3bobo7boobbo6boo6bo4bo67bo$274bo14b
obobobo9bo7boo3b3oboo3bo69boo$277boo11b3o22bob4obbobo70bo$274bobboo8b
oobbo31bo$277bo9bo3bo25bo3bobbobo68bobbo$272boboo11bo29bo3bo4bo67boo$
271b3o3bo11bobbo29bo70bo$270b3obo3bo9b4obo76boo17boobbobo$269b4obobbo
13bobbo75bobo16bobobbo$270bo14b3o5b3o54bo12boo5bo14bo3bobo$264boobobob
oo12bo8b3o52bobo11boo6boo11boo4boo$259boo3bo4bo18bo6boo52bobbo5boo11bo
bbo9bobo3boo$259bobobbo20bobbobb3o56boo6boo11bo17b3o14boobo$259bo6b3ob
obo13bo4bo81bobob3o7bo3bo14bo3bo$262bo3boo3bo15bo3b3o87bo4boobbo15bo4b
o$262boo28boo46b3o32bo9bo22boo$292bo47bobb3o15bo14b4oboob4o22bobo$292b
3o46bobo17boo23boo$288bobbo4bo49bo14b3o41bo6boo$287b3o6bo47bo10boo4b3o
40b5o4bobbo$286boo9bo48bobo5bobbo40boo4bo6boo$285boo7boo43boobo6bo4bo
bbo4booboo31bobo11bo$286bo51boo3bobbobbo4boo7boboo31bo5boboo6bobo$277b
3o14boobo34b3o4bobbobbo3bo5bobbo8boo30boo4bo4bobo$277bo8bo7bobbo34bo6b
obbobbo3bo6bo10boo30bobbo6b3o$278bobb5o8bobo38bo3bo6bobo7boo10bo30bo6b
ooboo$280bo51bobbo8boo10boo3boo38bobobobbo$281boo50bobbo6b3o11bo$334bo
5bo3bo58bo4bo$336boboboobo60b4o$338boo$342bo$$339bobbo$$367boobbo$366b
oo5bo$367bobo3b4o$367boob4o$367b3o4bobo$371bo$371b5o$361boobobboobboo
bbobbo$360boo3bob3o4b4obo$361bobbo3boo4boo$361bobbobboo3b3o$361bo9bo$
352b3o14bo4bo$352bobb4obo8bo4boo$353b3ob4obo$355b3obbobo6boobo4bo$332b
oo35bo5boo$332bobo27bo3b3o6bobbo$332bobo26boo3bo10bo$333b3o31bo8boo$
333bobo37boo$333b3o36boo$333boo39bobo$334bo39boo3bo$334boo38bo3boo$
333bo40bo3bobo$334bobo37bo$335bo42b5o$337bo19bo17booboobb3o$335b3o9b3o
6b4o23bo6bo$335bo11bo7boo4bobo13bo3boboboobbo$337b3o8bo4boobbo3b4o13bo
10b3o$339bo10boo4bo4b4o14boboo$339b3o9boboobo$332boo7bo16boo$332bobo6b
oo6bobboo$332bo9boo4b6o3bo8bo4b3o8bobo$335bo6boobboobb8o7boo4bo7boboob
o$335boo5bob3o11bo6bobo4bo5bobobobbo$335boo5boboo5bo3bobbo18bo$334boo
5b3o3bo3boobbobbo6bobo3b3oboboboo3bo$330booboo6bobo4bobboo3b7ob4o3boo
7bo$330bo4bo6boboobo10b5o7bo5bobbo$330bob4o6b4o13boo7bobobo$334boo9bo
24bo$334boo7boo$334boo4bo4bo$336bo4bo3bo3bo$335boo4bobob3ob3o$335bo6bo
boo3bobbo$336bo8bo4b3o$344bobobbobobo$343booboo$330bo6bo3b3o3bobbobo$
329boo5b3oboo3bo5bo$329bobo3bobbobbo6b4o$335bobobboobboo3boo3bo$332boo
bbo4bo5bo7boo$331b3o3bobobobbobbo6boo$331bobobbo6bo$336bo5bo3bo11bo$
327boob3o6bobo4bo12boo$327bo5bo4boobooboboo10boo$327bo5bo4boo4boboo$
324boobobo14bo17bo$324bo6bo4boo6bo18boo$324bo4bo6boo5bo18boo$325boobob
obo5bo4boo$324bobobb3o4boobbobooboboo17bo$324boo3boob6o5bobo21boo$324b
oo11bo6boobbo17boo$325bo4boboboboo9boo$332bobobobo5bo3b3o19bo$325boo5b
o5boo3b3obo23boo$324boo12bobobobo5bo19boo$322booboo15boboboobo$321boob
3o7boboo6bobbo5bo20bo$323bo9b4o9boboboboo21boo$323bo9bobo7bobobbobobob
o19boo$323bo21bobbo3bo$334b3o9boo5boo23bo$318bo14b7o6booboo28boo$317b
9o5boo4boo8boo29boo$317bo5b3o5bo17b3o18b3o$320bobbo5bobo10boobbo23bo
11bo$313booboobbo7b3oboobo5bo4bo5boo17bo11boo$313bo5bo8bo11bo3boboo5b
oo18boo7boo$313bo4boo7bobo10bo11boo20bo3boo10bo$315bo12boo9bo6boo5bo
23boo6bo3bo$314bobboo8boboo8boboo37boo4bobb3o$314bo14boo7bobbobobo5bob
o20b6o3bo$317bo8booboo12bobbo4bo22bobboobo$327boboo7b3obbo4boobo9boo
13bo4bo3bo$327bobo8b3obbobbobo3bo8bobo10bo6bo4bo$328boo13b4o14bo11bo$
340bob4obbobb3o10bo7boo3bo$340boboo5boo13boobboobobb3o$342b3o3bo19bo5b
o$347boo19bobo3bo$346bobbo16boboo3bo$342b3o6boo12booboo$342b3ob3obo14b
obbo$338bo6bobo19bobo$337b4o8bobbo14bobboo$332boo3bobboo$332bobo4boboo
6boo$332bobo5bo$333b3o5boo$333bobo$333b3o$333boo$334bo$334boo$333bo$
334bobo$335bo$337bo19bo$335b3o9b3o6b4o$335bo11bo7boo4bobo$337b3o8bo4b
oobbo3b4o$339bo10boo4bo4b4o$339b3o9boboobo$332boo7bo16boo$332bobo6boo
6bobboo$332bo9boo4b6o3bo8bo4b3o8bobo$335bo6boobboobb8o7boo4bo7boboobo$
335boo5bob3o11bo6bobo4bo5bobobobbo$335boo5boboo5bo3bobbo18bo$334boo5b
3o3bo3boobbobbo6bobo3b3oboboboo3bo$330booboo6bobo4bobboo3b7ob4o3boo7bo
$330bo4bo6boboobo10b5o7bo5bobbo$330bob4o6b4o13boo7bobobo$334boo9bo24bo
$334boo7boo$334boo4bo4bo$336bo4bo3bo3bo$335boo4bobob3ob3o$335bo6boboo
3bobbo$336bo8bo4b3o$344bobobbobobo$343booboo$330bo6bo3b3o3bobbobo$329b
oo5b3oboo3bo5bo$329bobo3bobbobbo6b4o$335bobobboobboo3boo3bo$332boobbo
4bo5bo7boo33bo$331b3o3bobobobbobbo6boo33bo$331bobobbo6bo45b3o$336bo5bo
3bo11bo$327boob3o6bobo4bo12boo$327bo5bo4boobooboboo10boo$327bo5bo4boo
4boboo$324boobobo14bo17bo$324bo6bo4boo6bo18boo$324bo4bo6boo5bo18boo$
325boobobobo5bo4boo$324bobobb3o4boobbobooboboo17bo$324boo3boob6o5bobo
21boo$76b3o245boo11bo6boobbo17boo$76bo248bo4boboboboo9boo$77bo254bobob
obo5bo3b3o19bo$79boo244boo5bo5boo3b3obo23boo$80bo243boo12bobobobo5bo
19boo$75b3o244booboo15boboboobo$75bo245boob3o7boboo6bobbo5bo20bo$78boo
243bo9b4o9boboboboo21boo$75bobboo243bo9bobo7bobobbobobobo19boo$78bo
244bo21bobbo3bo$73boboo257b3o9boo5boo23bo$72b3o3bo239bo14b7o6booboo28b
oo$71b3obo3bo237b9o5boo4boo8boo29boo$58boo10b4obobbo238bo5b3o5bo17b3o
18b3o$58bobo10bo248bobbo5bobo10boobbo23bo11bo$58bo6booboboboo239booboo
bbo7b3oboobo5bo4bo5boo17bo11boo$61bo3bo4bo242bo5bo8bo11bo3boboo5boo18b
oo7boo$61boobbo247bo4boo7bobo10bo11boo20bo3boo$61boo4b3obobo14boo225bo
12boo9bo6boo5bo23boo6bo$41boo8boobbo6boo3boo3bo15bobo223bobboo8boboo8b
oboo37boo$41bobo6boo3b4o4boo23bo225bo14boo7bobbobobo5bobo20b6o3bobbo$
27boo12bo4bo4boobb5obo29bo225bo8booboo12bobbo4bo22bobboobo3boo$26boo
17boo3boo12boo24bobo234boboo7b3obbo4boobo9boo13bo4bo$28bo6b3o6boo3boo
5boobobo28bobo234bobo8b3obbobbobo3bo8bobo10bo6bo$30boobb3obo3bo3bobobb
o3bo8boo24bo237boo13b4o14bo11bo$30b4o4bobbobbobobobbooboo3bo3boo25bo
249bob4obbobb3o10bo7boo3bo$32b3o3bobbo4bobobboo3bobo6bo8boobo8bo3bo
249boboo5boo13boobboobobb3o$33bo8boo6boobo20bo3bo6b3obo252b3o3bo19bo5b
o$29b3oboobobboobb3o3bob4o13b3o3bo4bo4boo261boo19bobo3bo$29b3obbobobb
oobb3o9boboobo7bo3bo3boo5boo261bobbo16boboo3bo$33bobbo5b4o6boobo3boobo
bboo4boo11bo257b3o6boo12booboo$28boo4bo8bo3bo11bo3bo3bo4bo269b3ob3obo
14bobbo$28bo10bobbo4bo15bobb4obboo3b3o3bo254bo6bobo19bobo$35bo3boo9b3o
11bobbo3bo5bob4o254b4o8bobbo14bobboo$34b4obbo9bo13b3o5bobobboboobo254b
obboo$34bo4bo5bo5bo21b3o6bo3bob3o248boboo6boo$33b3obboo4boo7boo9b3o7b
3o9bobo251bo$37bo6bobobboo3bo20boo6boo5bo250boo24bo$39bo8b3o3b3o28bobb
oo276boo$34booboo9boboo4b3obboo303bobo$34bobobobo8b3o5bobboo$38boo6bo
3boo6boo309boo$35bobbo5b4ob3o7b3o307boo$38bo4boobobobo7bo$35boobo4bo
14bo6bo299boboo$38bo5bo13boboobboo298b4o$33boobobobo8b3o12bobo297bo3b
oo4boo$33bobbobobbo17bobbobo304bobb3obo$34bo4bobo6boo8bobbo3bo310bo$
41boo5b3o7bobbo306boo4bo$38booboo4bo4bo8bo306boo4b3o$38booboo9bo6boo
308bo3bobbo$40bobo3boo321bo5b3o$43bob3o322boo3b4o$41bo3bo3bo16bo118b3o
85b3o102b5o$46bo4bo13boo118bo3boo82bo3boo101b3oboo$43bo3boboobo7bo4bob
o120bo87bo100boobbo3bo$39boo3bobb3obo7boo124bo87bo95b3o13boo$30b3o5boo
3boo3bo10bobo5boboo111boobo3bobo78boobo3bobo89bo12booboo$30bo9bo5bo19b
oo113boo4bobo79boo4bobo92bo13b3o$31bo3bo6bo6boo11boobboo114bo3boo82bo
3boo96boo9bobo$33b3o7b7o12boobboo114boboo84boboo99bo10bo$32boobo3bo18b
o4boo4boo105bo5bo81bo5bo$29boo4b4obo16b4obb4o4bo103boo5bo80boo5bo99bo$
29bo5boobb3o15bobb3o3b3o106bob3obb3o78bob3obb3o94b4obo$23boo4bo7bob3o
17bo9bo94b3ob3o3bobo5boo68b3ob3o3bobo5boo95bo4bo5bo6boo$19bo3bobo5b3ob
3obboobbo4b3o8b5obbo96bobbob3ob4o5boo68bobbob3ob4o5boo96bo4boobboo6bob
o$18boo3bo9boboo3boobbo3boobo12bo4boo96boo4boboo14bo63boo4boboo14bo90b
obb3obobo5bo38boo$18bobo5bo3b4o3booboo5bo3bo13boo94b4o22bobob3o55b4o
22bobob3o92booboo44boo$26bobb3obo3bobbo3boboobbo110bo5bo17boobo5bo54bo
5bo17boobo5bo88booboobboo37boo5bo$20b3o3bo3bo5bobboo3bo4boo7boo94boo8b
oboboo14boob8o47boo8boboboo14boob8o89boboo40boo5boo$19b3o6boo5bo12b3o
7boo81b3o9boo6bo5b3obo13bo3b4o36b3o9boo6bo5b3obo13bo3b4o91bobobbobo38b
o4bobobboo$21bobo4boo17booboo89bo13bobboobo3bobbo13b3o44bo13bobboobo3b
obbo13b3o100boo4boo16boo21boo3boob4o$23b5obo4booboo8bo3bo36boobo24b3o
15b3o6bo13boobbo5bobob3o8bobbo18b3o15b3o6bo13boobbo5bobob3o8bobbo107b
ooboobo8bobbo20boo10bo$24bo4bo4bobo11b3o5boo30bo3bo23bobb4obbo8bo6bobo
13b3obboo5bo7boobbo3bo18bobb4obbo8bo6bobo13b3obboo5bo7boobbo3bo107bobb
oobo7boo35bo$22bobo12boo15boo3bo28bo4bo23b3ob4obo8bo4boob4o22boboo3boo
bboo23b3ob4obo8bo4boob4o22boboo3boobboo110boo6bo7boo3bo24bo$21b5obb3o
6b3o14bo4bo30boo27b3obbobboboo6b4ob5oboo5boo12bo7booboo3bo21b3obbobbob
oo6b4ob5oboo5boo12bo7booboo3bo111boobo8bo4bo12bo12boo$20bobo4bo9b3o14b
oo4bo31bobo31bobbo8boo7boobo3bobboboo4boobooboo3boobboo32bobbo8boo7boo
bo3bobboboo4boobooboo3boobboo118bo11b3o11bobo4boo$19boobob3o4b3o3boobb
o9bo4boboo68boobo21boobobo6boob4o4bo4boo20boo11boobo21boobobo6boob4o4b
o4boo20boo92bobbo24bo3boboo3bo$21boo5bobb3o3boo3bo7bobo4b3o27bo6boo35b
o22boo6boo3bo4b3o6boo7boboo8boo15bo22boo6boo3bo4b3o6boo7boboo8boo96bo
25bobo7bo$26boboobo6bo3bo7bobo33b5o4bobbo32b3o24bobb3o9bo7bo6boobboo9b
obo13b3o24bobb3o9bo7bo6boobboo9bobo92boo30bo5bo$21bo6boo9bo11bo28boo4b
o6boo38bo12bo7bobo11bo5bo11boo4booboo6boobo14bo12bo7bobo11bo5bo11boo4b
ooboo6boobo124bo3bo$21bobo3bo12bo39bobo11bo38b3o4boo5boo4b6obboo22bo3b
oo13boobo13b3o4boo5boo4b6obboo22bo3boo13boobo124b3o$23bobboo7b5o40bo5b
oboo6bobo36b6oboo5bo3bo6bobo5bo5boo8bo4bo5b3obboo3bobo15b6oboo5bo3bo6b
obo5bo5boo8bo4bo5b3obboo3bobo90bo$19boo5bobo6bo5bo39boo4bo4bobo41boobb
oobobobbo3boo5bo6b4o3bo4bo5bo5b8obboo22boobboobobobbo3boo5bo6b4o3bo4bo
5bo5b8obboo95b5o$19boo7booboo3bob4o39bobbo6b3o44boobboobo3boboo3bobo3b
4obobbob5o9bo7boobobboo24boobboobo3boboo3bobo3b4obobbob5o9bo7boobobboo
95bobboo$16bo4bo5booboo8bo40bo6booboo45boobb3ob5o3bobo11b3obbo4boo10bo
3boo6bo23boobb3ob5o3bobo11b3obbo4boo10bo3boo6bo96boobo$15boo4b3o6bo52b
obobobbo46boo9bobboo7b4o11bobobboobb3obobboboo4bobo23boo9bobboo7b4o11b
obobboobb3obobboboo4bobo$15bobo9bobboo9bobo85boo6bobbobo5bo3boo3boo3b
oo4bobboboboo3b3o3bobo9bobboo14boo6bobbobo5bo3boo3boo3boo4bobboboboo3b
3o3bobo9bobboo99bobo$19bo4bobobbo6boo3bobbo40bo4bo38bobo4bo4bo13bo12bo
b3o4b3obbo9booboboobbo15bobo4bo4bo13bo12bob3o4b3obbo9booboboobbo$18bo
4bo3bobobbo3bobobbobbo30boo9b4o39bo5boo10b3obo3boo15bobbo5bobo8bo3bobb
o3bobo11bo5boo10b3obo3boo15bobbo5bobo8bo3bobbo3bobo89b3o6b3o$18bobbo6b
oo6bo3bobbo30bobbo54bo3boo10bobobboboo15bobobboobbobo12bo4bo3bo14bo3b
oo10bobobboboo15bobobboobbobo12bo4bo3bo84bo4bobb3o4b3o$27bo11boobo17b
oo13bobo54boobboob3o6boboo3bo27bo6b3obbo4bo19boobboob3o6boboo3bo27bo6b
3obbo4bo88boo5boob5ob3o$24boboobb3o7bobo33bo35boo21b3obboo7boobboobo
20b3o5bobo5bobo4bobbo19b3obboo7boobboobo20b3o5bobo5bobo4bobbo85bobo3b
3o4booboo$23booboobo10bo71bobo16bobob3o13bo3boo19boobbo4b4obo4bo23bobo
b3o13bo3boo19boobbo4b4obo4bo105bobo$22bo3bo6bo7bo43b3o24bobo16bobo3bo
17bo22bobo5bo32bobo3bo17bo22bobo5bo104b3o6bobbo48bo20boo$21bobbo3bo3bo
8bo42bobboo24b3o14bo6boboo77bo6boboo149b3o7bo50boo20bobo$21bo4boobbo4b
oo6bo40bo4b3o21bobo13booboo3bo3bo16bobo56booboo3bo3bo16bobo131bobob4o
bbo42bo5bobo19bobo$20bobo3bo3boo3bobo3bobo41boo3b3o20b3o12boobo4boo3bo
17boo55boobo4boo3bo17boo133booboo45boo28b3o$20bo9bo4bo4boobo32boo10bo
24boo14bo4bo3b5o16bo57bo4bo3b5o16bo134b6o44bobo3boobobo18bobo$20boboo
6boo6boboo34boo36bo14bo4bo6b3o73bo4bo6b3o204bo7boo16b3o$21bo3bobooboo
6bobbo66bo4b3o25b3o18bobo64b3o18bobo182bo4bo5boo14boo$23bobbo11bobo40b
4o6bo15b5o6bo11b3o8boo20boo27b3o23b3o8boo20boo27b3o152bobbobb6o16bo$
21boobbo4bo51b3obo4bo15bo6booboo12boo8boo20bo28bo26boo8boo20bo28bo176b
o4b3o$21bobo6bo43boo7booboo42b3o60bo24b3o60bo174b5o6bo$23b3o3boo43boo
31boboo20boo8bo24bobo26boo22boo8bo24bobo26boo18boo151bo6booboo$18boo3b
o62boo20bo28booboo25boo27bo3boo23booboo25boo27bo3boo12boo$17boo4bo3bo
3bo54boo13bo15boo17boo3bo25bo31boo23boo3bo25bo31boo7boo5bo152boboo$19b
o68boo10b5obboobo6bobo18boboo60boo22boboo60boo3boo5boo18boo133bo$21bo
bb3oboo58b3o9bobboobb4o6bo25bo26bobo23b6o29bo26bobo23b6o7bo4bobobboo
13bobo125bo15boo$21boobo77bobo3boobbooboo54boo23bobboobo56boo23bobboob
o8boo3boob4o4boo5bo126b5obboobo6bobo$72b3o28bo11bo26b3o26bo11boo13bo4b
o26b3o26bo11boo13bo4bo7boo10bo3bobo3boobbo123bobboobb4o6bo$7boo12bo3b
6o41bobb3o22bobbob3o3bo24boobboo41bobo10bo6bo20boobboo41bobo10bo6bo19b
o3bo11bo123bobo3boobbooboo$7bobo10bob6o3bo41bobo27bobboobbo4bo5bo14bob
oboobo30bobo6bo11bo28boboboobo30bobo6bo11bo21bo12bo3boo3b3o122bo11bo$
7bo15b3obbo3boo44bo22b3obbo3bo9boo14bo3bo34boo9bo7boo3bo24bo3bo34boo9b
o7boo3bo17bo3bo8boo4boo4bo118bobbob3o3bo$10bo9boo5boo47bo25bobobob3ob
oo6bob5o48bo10boobboobobb3o64bo10boobboobobb3o17booboo15b7o121bobboobb
o4bo5bo$10boo10boobboboo48bobo21bo3b4o3bobboo5bo4bo11bo49bo5bo31bo49bo
5bo19bo3boboo13b4o121b3obbo3bo9boo$10boo8boo3boobo52bo20bobo3bo7bobbo
bbo5bo13bo35bobo9bobo3bo33bo35bobo9bobo3bo20boob4o139bobobob3oboo6bob
5o$9boo8boo4bobo50bobbo26bo6bobboo10bo8boo38boo7boboo3bo31boo38boo7bob
oo3bo26boobbo9b3obbo20boo99bo3b4o3bobboo5bo4bo$oo6boo3bo7bo4bo51bobbo
25bo9bo6booboobbo6bo40bo7booboo34bo40bo7booboo31boobo8booboo21boo3bo
96bobo3bo7bobbobbo5bo$obo3boobbobobobooboo5b4o48bobbo26bo14boobboo3bo
4bobbobo44bobbo34bobbobo44bobbo33bo12boboboo20boboo102bo6bobboo10bo$o
5b3o4bo4boo7bobbo94bobo10boboo40bobo4bobo34boboo40bobo4bobo32boo16bobb
o19b3o100bo9bo6booboobbo$3bo10bo12b5o47bobo45bobbobo4bo45boo4bobboo31b
o45boo4bobboo30b3o16b3o19bo58bo4bo39bo14boobboo3bo$3boo11boo10bobbo49b
o45boo3bo3b3o44bo40b3o44bo40boobbo14bo23b3o53bo6bo55bobo$16boo12b3o95b
3o57bo87bo39bobo29boobo4boo54bo4bo58bobbobo$26b3obobo42boo4bo46bo7boo
bbo45bobo35boobbo45bobo36bo3bobo11boo15boboo3bobo118boo3bo$26boboobo3b
o38boo4boo48bo7bo48boobboo33bo48boo36b6o4b3o5boobobo5boo4boboo3b3o119b
3o$26boboboo3boo39bobboboo47bo56bo3boo82bo39b3o5bo10bo3bobboo6bo5b3o
119bo$23boo5bo6bo40booboo241bo6boo5bo3bobo4boo4bobo121bo$22boo7bo3bo
297b5o4b3o4boobboo124bo3boo$24bo10bo36b3obbo52boo56boo114boo36boo6bobo
129boo$28boo5boo35bobb3obo49bobo55bobo113bobo38bobo3boo3bo82boo44bo$
28bobo4bo37b6o52bo57bo115bo44b4o84boo46boo$28bo3bo313bobo58boo46b3o27b
o5bo8bo$31boo31bo6boo275b4o8bobo43bobo80boobo6boo$32bobbo27boo5bobbo
274b4o8bobbo42boo82bo3bo4bobo$23boo38bobo3boobo276boo8bo3boo121boobb3o
8bo$23bobo3b3o35bo291bo126boobo12bo$23bo3bo4bo33bo407bo13bo3bo6boboo$
26boo38bobbo15b3o271bobb3o60boo46boo11boo5boo5bo$26bo5bo52bobb3o268boo
64boo46bobo10b3o$86bobo272b3o113bo7boboo12boobo$91bo269b3o112bo3booboo
bobbo4b3o3boo3bo$89bo327boo57bo3boob3o8bobb5o4bo$91bobo323bobo62boboo
9booboo3boo$84boobo6bo383bobbo4bo7b3o$83boo3bobbobbo383b3o$77b3o4bobbo
bbo3bo382bobbo24bo$77bo6bobbobbo3bo383bobobo4b3o4booboo5boo$80bo3bo6bo
bo389bo3bobb3obboo7bobo$77bobbo8boo269boo117bo3bo5bo10bo$78bobbo6b3o
269boo126boo5bo3b5o$79bo5bo3bo398boobboo4boboo$81boboboobo399boo3bo5b
ooboo$83boo404bo3bo3b3o7b3o$87bo403b3ob3obo7bo$489b3obbo6boboo5b5o$84b
obbo240bo161boo9boboo5boob3o$327boo166boo8b3obboo3bo$327bobo164bo8boo
6bo3b4o$495boo9boo3bobbobboo$330boo179bobo3boo$330boo183bob3o$515bo$
326boboo99bo85b4o$325b4o98bobo$325bo3boo97boo86b3o$330bobbo28bo$357boo
3bo$329boo3bo22boo3bo$329boo3bo183b3o$330bo187bobb4o$330bo188b7o$331b
oo23boo162bo6bo$355boo163boo5bo$357bo165bo$359boo60boo96bo3bo$358bo61b
obo99b3o$420boo88boo7boobobo$357bobbo149bobo3bobo3b3obo$354boobo152bob
3o3bob3o3b3o$353boo4bo151boobo5boo$355bobobbo150boo4b4o6bobbo$360bo
150boobb3obo8boo$357bobbo150boo4b3o7bo$358bobo151bo16boobbo$358bobo
158boo8bo3boboo$359boo69boo81boo5bobobo5boobobo$359bo70boo88bobbo6bobo
$496boo25boboo5bobbo$368boobbo123boo24bobboboo3boobo$367boo5bo90boo60b
o6b3oboo$368bobo3b4o86bobo61b3obbo5boo$368boob4o89boo59b3obbobobobob3o
$368b3o4bobo153bobobb3o$372bo53boo98boob3o4boo$372b5o49boo98bo4bob3o5b
oo$362boobobboobboobbobbo103boo49boo5bobo$361boo3bob3o4b4obo102boo46bo
boo6bobo$362bobbo3boo4boo16bo137b3o8b3o$362bobbobboo3b3o15bobo138boo8b
obo$362bo9bo19boo81boo65b3o$353b3o14bo4bo99boo65boo$353bobb4obo8bo4boo
166bo$354b3ob4obo173bo4b3o$356b3obbobo6boobo4bo157b5o6bo$370bo5boo158b
o6booboo$363bo3b3o6bobbo$362boo3bo10bo39boo116boboo$368bo8boo39boo117b
o$374boo154bo15boo$373boo154b5obboobo6bobo$375bobo151bobboobb4o6bo$
375boo3bo150bobo3boobbooboo$375bo3boo16boo133bo11bo$375bo3bobo14boo
131bobbob3o3bo$375bo22bo133bobboobbo4bo5bo$379b5o16boo128b3obbo3bo9boo
$376booboobb3o13bo5bo125bobobob3oboo6bob5o$384bo18boobo124bo3b4o3bobb
oo5bo4bo$378bo3boboboo16bo3bo122bobo3bo7bobbobbo5bo$379bo20boobb3o130b
o6bobboo10bo$380boboo16boobo132bo9bo6booboobbo$388bo13bo3bo130bo14boo
bboo3bo$387boo11boo5boo145bobo$387bobo10b3o17bo129bo5bobbobo$391bo7bob
oo17bo60bo67boo5boo3bo$390bo3booboobobbo16bo61bo66bobo5b3o$390bo3boob
3o6boo72b3o68bo5bo$396boboo6bobb3o140bo6bo$392bobbo4bo5bob5obo134boboo
6bo$392b3o12bo6boo134bo$391bobbo12bo5b3o$392bobobo10bobbobbo137boobo$
397bo12b4o65boo63b3o3boo3bo$393bo3bobboobobbo7bobbo60bobo63bobb5o4bo$
400boboobboobo3bobbobo59boo65booboo3boo$400boboo3bo5bobbobo125b3o$401b
o4bo5boo$401boo3bo3bobo142bo$392boobbo4boo6bob3o123b3o4booboo5boo$391b
oo4bobboo6b4o125bobb3obboo7bobo$393boobobb3o7boo3boo123bo10bo$395boobb
o9bobo126boo5bo3b5o$402bo6bobobboobo120boobboo4boboo$399bobbo3boo6boob
o70boo48boo3bo5booboo$400bo4boo9bo71boo49bo3bo3b3o7b3o$401bo5bo8bobo
122b3ob3obo7bo$412boobbobo120b3obbo6boboo5b5o$412bo110boo15boo9boboo5b
oob3o$412bo109bobo20boo8b3obboo3bo$414b3o19b3o83boo20bo8boo6bo3b4o$
414b6o16bobb4o102boo9boo3bobbobboo$414bo22b7o40boo75bobo3boo16b3o5b3o$
414boo3bo18bo6bo38boo79bob3o15bo5booboo$414boobbo19boo5bo119bo22bobo$
415b3obb3o18bo123b4o20boboo$417bo4bobo12bo3bo138boobbobobo$417b4obobo
15b3o123b3o10booboboobo$417b4obobo3boo7boobobo90boo36boo8boobo$420bo7b
obo3bobo3b3obo88boo35boobboo$428bob3o3bob3o3b3o124bobboo17boo$429boobo
5boo126boo3bo3bob4o12bobo$429boo4b4o6bobbo116boobobbo6bo14bo$429boobb
3obo8boo119booboo4boo18bo$429boo4b3o7bo123b3o24boo$430bo16boobbo24boo
118boo$437boo8bo3boboo21boo93bobo4boo15boo$431boo5bobobo5boobobo118b3o
3bobo5boo6boo$438bobbo6bobo120bo3boo9bobo3boobbo$441boboo5bobbo15boobb
o92bo5bobb4o7bo5b3o$440bobboboo3boobo14boo5bo89boo6b3obbo10bo$445bo6b
3oboo11bobo3b4o86bobo4bobo14boo$446b3obbo5boo10boob4o97boo18bo$443b3o
bbobobobob3o10b3o4bobo88boboobo3bo15bobo$449bobobb3o16bo92boo4bo3bo16b
o$444boob3o4boo17b5o88boo3bo22bo$444bo4bob3o9boobobboobboobbobbo85boo
bboobbo19bobo$452boo8boo3bob3o4b4obo16boo68boboo3bo$449boboo10bobbo3b
oo4boo20bobb3o68boboo9b3o8boo$449b3o11bobbobboo3b3o21bob5obo38bo26bob
3o8bo10bo$450boo11bo9bo25bo6boo35bobo40bo8boo$454b3o14bo4bo22bo5b3o36b
oo25boo8boo5boo6boo$454bobb4obo8bo4boo21bobbobbo64b3o4bo3bobo5bo$455b
3ob4obo37b4o64bob4obbobbo11boo$457b3obbobo6boobo4bo12boobobbo7bobbo61b
oo4bo6bobo5boobboo$471bo5boo13boboobboobo3bobbobo60boobbo8b3obo4bob3ob
o$464bo3b3o6bobbo11boboo3bo5bobbobo61bo11bobbo5bo5bo$463boo3bo10bo13bo
4bo5boo68bob3o4b3obbo8bo$469bo8boo13boo3bo3bobo69bobboo4bo5bo4boboo$
475boo7boobbo4boo6bob3o69bobo5bobbobobo4bo$474boo7boo4bobboo6b4o72boob
o3bobbobo4boo$476bobo6boobobb3o7boo3boo29boo39bobbo8boo3bo$476boo3bo5b
oobbo9bobo32bobo35b4o3boo11bo$476bo3boo12bo6bobobboobo26boo35boo4bobob
oo7bo$476bo3bobo8bobbo3boo6boobo65bobb4oboo$476bo15bo4boo9bo68boobbobo
5boo$480b5o8bo5bo8bobo72bo4boo$477booboobb3o17boobbobo67boo9bobo$485bo
18bo84b3o$479bo3boboboo15bo74bo3b3o3boo$480bo25b3o70boo3b3o4bobo16b3o$
481boboo21b6o69boo3bo7boo14bo$506bo39boo38bo6b3o15bo$506boo3bo34boo39b
o7bo14b3o$506boobbo84bo3bo10b3oboo$507b3obb3o6bo7boo62b3o4bo$509bo4bob
o3boo6boo3b3o53b3obobboobo$509b4obobo3bobo7bob4o44boo7bo4boboo15bo$
509b4obobo4boo13bo43boo8bo7bo7boobobb5o$512bo10bo8bo72boo3boboboobo$
518bo3boo8bobboo4boo52bo10bobbo5bobo$517b7obobo6b3o3booboo49b5o7bobbo$
517bo8boboboboo3boob6o48bobo9bo$525boobbobo10bo9bo56bo$518boo6bobb3o3b
oboo3bo3boo3boo46boo5bobbo5b3o$518b3o6b3o6b3o3bobo3bobbobo44boo3boboo
bboo4bo$522bo4boo3boo4bo7bobbobo48bob4obb3o6bo$520bobo5bo12bobobb4obo
bbo45boobobb4obboo$520boo3booboo12bo3boobbobboobo43bo3bobbo4boobo$516b
o3bo4bo23bobboobboboo40bo3boboobbo3bo$515boo3bo5bo26bo5bo40bobob3ob3o
8boobbo$515bobo22b3o7b5o5bo40bobbobo11boo4bo$516boo22bo10bo8bo39boo3bo
3bobbo6bobo$541bo4b4obb4obbo42bo7bobb5obb4oboo$515b3o25b4o5boo4boo41bo
4bo7bo3boo5boobo$511boo3bo20boo5bobo11boo46boo6boobbo4boo$511bo3bo10b
3o8bobo3boo3boo9b3o44boo9boo3b4obboo$511bo4bo9bo10bo7bo16bo59bo6bo$
513bobo11bo12bo3boboboo5bo$514bo14boo9boo5bo6b5o6boo58b3oboo$513bo16bo
17bobo3bobboo6bobo$512bobo35bo5boobo5bo62bo$512bobo12boo3bo10bo8bo75bo
$511bo7b3o5boobbobo8b4o3bo9bobobboo62bo$511boo6bo6bobo3boboo6bo4bobobo
8boobbobo3boo$511boo7bo4boo12bo4bo3bobo9b5o4boo$522b4obo7bob4obboobbo
17boo3boo$523boo12bobbobbooboo17boo3bo$567bobbo3bo$544boo17bobo7boo$
564bo8bob5obo$576bo3b4o13bo$575bo3bo18bo3boo$574b3o19b3o3boo$575bob4o$
568bo5boo3bobo$567b5oboobob3obb3o$567bo8b3o5boo$575boobbo$567boboob5o
bboboo$559booboo4bo5boobboo$559bob3o$559bobboo3boo7boo3boo$566boo8boo
4bo$563bo3boo9bo3b3o$563bo3b3o3boobbo4bobo$567bo5bo8bo$568boo3bobo9bo$
580bobb3o$579b5o$579bobbo$581boo$582bobboo$579bo4boo$580boboboo$582boo
bobbo$583bo4bo$588bo$583bobo4b3o$585boobo$588bo!

One of the edge shooters could be replaced with the simple glider turning spaceship, but I like the symmetry of this solution better.

BCNU,
-dbell

[amling]

Even some very preliminary searches for a (c/4d) tub eater were looking pretty good, with a little light extension effort in c/4d I have something like this:

Code: Select all

x = 29, y = 40, rule = B3/S23
19bo$18bobo$13b3o3bo$13bo$14bo8bo$16b2o4bobo$17bo5bo2$27bo$17b5o4bobo$
17b6o4bo2$17bo3bobob2o$19bobo2bo$16b3o7bo$16bob2o2bo$12b3obobo2b2o$12b
2o5b2ob4o$5b2o5bob2obo7b2o$4b2o2b4obob4o3b3o$5bo3bo3bo6b5o$5b3ob2o4bo$
5b2ob2o2bo8b4o$8bob2obob2o2b2obobo$7bo2bo4bo4b2o$2b2o5b2o3bo5b2o$b2o6b
o4bo4bo$3bo2bo2b2ob2o3b3o$5b3ob2o7b2obo$6b2o2b2obo3bo$5b2o4bob2o$6b3o
2bob2ob3o4bo$8bo4b3o2bo3b2o$3bobo4bo6b2o3bobo$b2obo5bo2b3o$bo2b2obob2o
4b3o$3b3o2bo3b2o2b3obo$obo3bob2o5b2ob2o$o3b3o2b4obobo$b2o6bobo5b2o!

Also still TBD finishing solving this or giving up and waiting for the full version of the rotor tree pipeline to run.

And solved, although I had a bit more of a tough time with the branches than I expected:

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 59, y = 101, rule = B3/S23
28bo$27bobo$28bo2$31bo$30bobo$31bo4$37bo$36bobo$31b3o3bo$31bo$32bo$34b
2o6bo$35bo5bobo$42bo$45bo$35b5o4bobo$35b6o4bo2$28bo6bo3bobob2o$27b5o5b
obo2bo$27bo6b3o7bo$34bob2o2bo$27bob2obobobo2b2o2bo$28bo5b3obo$34b3ob4o
bo$27b2o4bo4b2obobo$24b2o3bo2b2o$24bo2b2ob4o4bo$24bobo2b3o2bo2b5o$37b
2ob3o$29b2o7bo3bo$22b2o4b2obo9b4o$22bobo4bobo6b2o$22bo2bo2bo5b2o2b3o4b
o$19b2ob2o2bo6b2o7b2obo$19bo7bo7bo4bo5b2o$19bob2o2b3o13bo$28bo7b3o3b3o
$23b2ob2o10b2o2b2o$34b2o6b2o$23bo11bo4bobo$23bo11bo3bo5bo$19b3o2bo11bo
6b2o4bo$14b2o4bo22bo2b2ob2o$13b2o2b2obo14b3o5bo2b5o$13bobobo4bo6b2o2b
2ob2o$10b3o2bob2o2bo6b2o3bo2bo6bobob2o$10bo7bo11bo4bo9bo$11b2o5bobo11b
o12b2o2bo$10b3o2b3o13bo3bo9bo2bo$11b2o4bo12b2o3b2o4b2obobo$8b3o6bo12b
2o3b2o3b2o$7b2o3bo17b2obo7b2o$7bo2b4o21bo2bo2b2o2b2o$7bo4b2o17b2obo6bo
2b4o$3o28b2obo3bo5b2o2bo$o6bobo22bo3b5o$bo4b2obo23bo4b3o7bo$3b4obo18b
3o4bo3b3o6b2o$4b2o21bo6b2o10bob2o$28bo5b2o4bobo2b2ob2o$30b2o2bo6b2o$
31bo2bo6b4o$23bo6bo2bo8bobo$22b2o5b4o12bo$22bobo3b3o10bo2bo$26b2o14bo$
18b2o4b5o14bo$18bo2b4obo16b4obo$18bob4obo19b2o2bo$19bo4bo20bo3bo$19bo
26bo2bo$19bo$12b2o8bo23b2o$11b2o3bobo27b2obo$13bob5obo25bo2bo$13b4o2bo
bo25b2obo$13bo2bo32bo$13bo2bo$6b3o35b3o$6bo6bobo27bo3b2o$7bo4b2obo26bo
3bobob3obob3o$9b4obo26bo2bo6bo2bo$10b2o23b3o3bo9b2ob3obo$35bo6b2o11b3o
$36bo4b2o11b3o$38b5obo10bo$39b2o4bo3b3obo$49bo2bo3bo$43b2o7bo$44bobo3b
o$44bo5b4o$44bobobo4bobo$45bo2b2o$43b2o3b2o$44bo$44bo!

[dbell]

> And solved, although I had a bit more of a tough time with the branches than I expected:
That's another good find. Thank you.

Now we can immediately turn the tub puffer into a ship.

Code: Select all

#C An extensible diagonal c/4 period 28 spaceship containing tubs.
x = 181, y = 126
9boboo$7b3oboobo$7bo3bobbo$bo5bo4boboo$oo6bo4bobo$obo3boo6bobo$4bo13b
3o5bobo$3bo4bo9bobbobboobobo$3bobbo11bo3boobo4bo$15boo4boobo$14boo11bo
bo$16bo$27b4o$26b4o3bo$26bo5b3o$34bo$17bo14bobo$16boo14bobo$16bobo13bo
bo3boo$29boobboo3bo$19boo8bo4bo$19boo8bo3bo$26boobobboo$15boboo7bo3bo
7booboo$14b4o8bob3obo5booboo$14bo3boo12bo6bobo3bo$19bobbo7bo9bo3bobo$
26bo3bobo12bo$18boo3boboo4bo$18boo3boboboobobo$19bo5bo$19bo6bo20bo$20b
oo8bo15bobo3bo$29boo15bobobbobo$29bobo15bo4bo$$32boo105b3o$32boo105bo$
54bo85bo$28boboo21bobo3bo82boo$27b4o22bobobbobo82bo$27bo3boo21bo4bo$
32bobbo3boo97bo24b3o$38boo96bob5o20bo$31boo3boboo10b3o82boo4boo21bo$
17boo12boo3boboo10bo10bo74boo28boo$17bobo12bo5bo12bo8bobo3bo63b3obbo
31bo$17bo14bo20bo6bobobbobo62bobboobbo20boo$20bo12boo5bob3o7b3o6bo4bo
64boob5o18boo3bo$19bobo17boo4boo9b3o69b5obooboo19bobob5o$19bobo18b6o5b
obbobo70boobbo26boobo3boo$11b3o5bo34bobobboo68bo28b3o$11bo7bobboo6boo
19boo4bo71boobb3o$6boo6boo3bobb3o5bo9bo10booboo5boo10bo54boobo20boobo$
6bobo3bo6bo4bobbobbobboo4b3obob3o6bobbob3o10bobo44boo10bo3bo16bo3bobbo
bo$6bo5boo4bo4bobb4o4bo4bob3ob3ob3obboo17bo45bobo4boob3obo18bo4boboo$
9bo4b3o10bobobbobobobobobbobbo7bob3o60bo6boo26bobo3bo$9boo17boo5bobbob
o3boob5o7bobbo53boobo7boo20bo4b3o$19b3o6b3o4boo3booboo3bobbooboob3obob
o52bo4bobob3o20b4obb3o$19bo6boo3boo3bo4b3obbo5bo5bo3boo47boo3bo3bobo3b
oo20bo5b3o$20bobb3obobobo4boo3boo5bo7boo6bo15bo30bobo3boobo29b3oboo$
23bo3bo3bo16bobbo6bo5bo14bobo28bobbo3booboo$15boo7bo3bobbo18boboo10bo
15bo23bo5boo6bobboo$15bobo11bo22bo8bo3bo37b5obo4bo4bo22b3o4b3o$15bo6b
oobo3bo17boobbo8boobo39bo6bo4boo4boo7boo10bo6b3o$21boobbobobo3bo12boo
15bobbo44bobobo13boo6bo5bo5bo$17boobooboob4obbo15boobo8bo3bo38boboo5bo
bbo15bobb5o6boo$17bo4bo3bobbo18boobo14boo19bo4b3o9bo10bo17bo3bobo6b3o$
17bo3boo4boo12b3o4boobo9boo23bobo3bo16boo22b5oboboboo$17bo3bo5boo12bo
bbooboob3o10bo4b3o16bo5bo11boobboobo5boo9b3obbo5bob4o$20boobooboo14bo
bbobbo4bo10bo30b3o3bo3boobboboo4boo4boo3bobbo3bo4bo7bo$12bo3bobbo3boo
3bo15booboo3bo4boo4boobbo3bo24b3oboo3boo3boo7bobboobb4o4bo4boo26b3o$
11boo3b3obbobobboo19boo8bobo6boobo28boobbo6b3o9bobobbo9b3o28bo$11bobo
bbo29bobo8bo3bobboboobo28b3obb6obobobbobo3bobbo5bo37bo$23bo23boo11boo
7bobo22bo8b3obb3obobobbo6bo45boo$14boo6b3o4b3o14boboo11boboo4bobo21bob
o4bobo7bo3bo4bobbobo14b6o26bo$16bo3boobo3booboo16boo10bo6boobo23bo10b
oobb3o3bobboo15boobb7o$20bobbobbo18boobobo10b3o3bo34bobbobboo3boo7bobo
9boobbooboobobbo18b3o$18bobo3bobboo18bo12bobboo38boo3bo10bo5bobbo6boo
bboo7b4obo11bo3boo$17b3ob3o24bobo9boobobobo35bo11bo3boboobbobboo4boob
oobo5bobbobobo10bo3bobob3obob3o$17bo5bo3booboo15b3o10b3obbooboo46boob
oo4bo3bobob3oboo7bo4bobo9bobbo6bobbo$19bo6boobo16b3o6b3o5bo9bo45boo23b
o4bo13bo9boob3obo$14b3o30boo6bo6bo6bob4o52bobobo7bo3boobo5boobb3o5boo
11b3o$14bo13b3o25bo5boobbo4bobbobbo49bo3boo6bobob3o7boboobbob4o11b3o$
17boo12boo25b3obbobbo9bobo54bo5bobo14b3obb4obo10bo$15bo12boo29bobo3bo
60boo28bo3bobo4bo3b3obo$15boo4boo5bo29bo5boo11booboo46bo25boo5bo9bobbo
3bo$17bo3bobo3boo29boo4bo12boo3bo82boo7bo$13bobbo4bo4bo4boo25bo5bo14b
oo85bobo3bo$5boo5boo10boboobbobbo24bo5boo16boo82bo5b4o$5bobo3b4o9b3obo
bobo18boo11b3obboo95bobobo4bobo$5bo5bo11bo3bobo21bobbob4o5bobobo97bobb
oo$9bobo11b3o3bo21bo3bo4boo4boo97boo3boo$bboo4b5o10boobbobo23bo11bobo
98bo$bbobobbobbo13boobo3bo22b5o5bobboo97bo$bbo3boo17boboboo23boobobo4b
4obo$5boo18bo3bo27bobo$5bobbo16bobbo39boo$6boo17bo3bo33b3o$22bo6boo31b
obo$21boo3booboo31b4o$21bobo7boo30bo$27boobboo25b3o$24boo5bo21boo4bo$
23b3o26boobboobo$23bobo26bobobo4bo$24boo23b3obboboobbo$24boo23bo7bo$
25boo23boo5bobo$26bo22b3obb3o$25bo24boo4bo$20boo25b3o6bo$20bobobbobo
18boo3bo$20bo3bobo19bobb4o$23boobbo18bo4boo$24bobo12b3o$18boo3boo14bo
6bobo$17boobob3o15bo4boobo$19bobo20b4obo$43boo$16boo$8b3o5boo3bobo$8bo
6bobo$9bo4boo$11b4obo$12boo!

The new eater converts a boat into a block, which can then be eaten. This boat is in a different orientation to the one that could previously be eaten, so this is new.

Code: Select all

#C A diagonal c/4 convoy which can eat a sideways boat.
#C If the second ship is removed then this is a boat to block converter.
x = 86, y = 89
31b3o$31bo$32bo$34boo6boo$35bo5bobo$42bo$$35b5o$35b6o$$28bo6bo3boboboo
$27b5o5bobobbo$27bo6b3o7bo$34boboobbo$27boboobobobobboobbo$28bo5b3obo$
34b3ob4obo$27boo4bo4boobobo$24boo3bobboo$24bobboob4o4bo$24bobobb3obbo
bb5o$37boob3o$29boo7bo3bo$22boo4boobo9b4o$22bobo4bobo6boo$22bobbobbo5b
oobb3o4bo$19booboobbo6boo7boobo$19bo7bo7bo4bo5boo$19boboobb3o13bo$28bo
7b3o3b3o$23booboo10boobboo$34boo6boo$23bo11bo4bobo$23bo11bo3bo5bo$19b
3obbo11bo6boo4bo$14boo4bo22bobbooboo$13boobboobo14b3o5bobb5o$13bobobo
4bo6boobbooboo$10b3obboboobbo6boo3bobbo6boboboo18bo$10bo7bo11bo4bo9bo
20boo$11boo5bobo11bo12boobbo16bob5obo$10b3obb3o13bo3bo9bobbo20bo3b4o$
11boo4bo12boo3boo4boobobo21bo3bo$8b3o6bo12boo3boo3boo25b3o$7boo3bo17b
oobo7boo25bob4o$7bobb4o21bobbobboobboo14bo5boo3bobo$7bo4boo17boobo6bo
bb4o12b5oboobob3obb3o$3o28boobo3bo5boobbo11bo8b3o5boo$o6bobo22bo3b5o
27boobbo$bo4boobo23bo4b3o7bo11boboob5obboboo$3b4obo18b3o4bo3b3o6boo3b
ooboo4bo5boobboo$4boo21bo6boo10boboobbob3o$28bo5boo4bobobbooboobbobboo
3boo7boo3boo$30boobbo6boo16boo8boo4bo$31bobbo6b4o11bo3boo9bo3b3o$23bo
6bobbo8bobo11bo3b3o3boobbo4bobo$22boo5b4o12bo14bo5bo8bo$22bobo3b3o10bo
bbo16boo3bobo9bo$26boo14bo30bobb3o$18boo4b5o14bo28b5o$18bobb4obo16b4ob
o23bobbo$18bob4obo19boobbo24boo$19bo4bo20bo3bo25bobboo$19bo26bobbo22bo
4boo$19bo53boboboo$12boo8bo23boo27boobobbo$11boo3bobo27boobo26bo4bo$
13bob5obo25bobbo30bo$13b4obbobo25boobo25bobo4b3o$13bobbo32bo28boobo$
13bobbo64bo$6b3o35b3o$6bo6bobo27bo3boo$7bo4boobo26bo3bobob3obob3o$9b4o
bo26bobbo6bobbo$10boo23b3o3bo9boob3obo$35bo6boo11b3o$36bo4boo11b3o$38b
5obo10bo$39boo4bo3b3obo$49bobbo3bo$43boo7bo$44bobo3bo$44bo5b4o$44bobob
o4bobo$45bobboo$43boo3boo$44bo$44bo!

EDIT: The eater can also be used with barges.

Code: Select all

#C A diagonal c/4 spaceship can convert long barges into long boats
#C or long ships depending on whether one or both ends are perturbed.
#C A small enough barge such as the one shown here can then be deleted.
x = 130, y = 128
88boo$88bobo$88bo$91bo$91boo$91boo$90boo20boo$85b3oboo21bobo$84boo5bo
20bo$84bo4boo24bo$79boobobobo28boo$79bob3obbo20bo7boo$79bob3ob3o18boo
6boo$77boo7boo18bob4oboo$76boo31bo5bo$76boboobbo25boo3boo$82bo24b5o$
77b3obb3o23bo$77bob3o18b3o4boo$67b3o5bo24bobb3obboo$67bo7b3o3bo20bo$
69bo5bo3bo21boo5boo$64b4obo8bo18boobboo3bo$64bobbo3boboo21boo3boo$59b
3o3bo5bo3bo22boboobo$59bo6bobbo30bobo$61bo5bobobo27b3o$52boobobbobo7b
oobo19boo6boo$51boo3bobobo3bobo3bo8bo11bobo4bobo$52bobbo3bobob3o12boo
11bo5boo$34bo17bobbo4boobo14bobobb3o8bob3o$33bobo5boo9bo7boobboo16b4ob
oo5boobo$32bobo6bobo11bo3boo20bo5b3o7bo$31bobo7bo16b3o6bo10boo5bo4bo5b
o$32bo11bo8b5o3bo4boo4bo5bo8boobb5o$44boobboobobobboo8bobo3b3obbobbob
3obo5boo22boo$48boo3b5o12bo4bob3o3boo4bo26bobo$48boobbobo6boo7bo6boo
10bo26bo$48boo6b3ob4oboo3boo14bob4o27bo$31b3o14booboobboboobbo3boo4bo
bbo14b3o27boo$31bo17bo4boobo3boo3bobo4bo10bo4b3obo25boo$32bo18bo5boobb
oobo4bo13b5o6boobbo16booboo$34boo16bo9b3obbobb4o9boboo6b4obbo14bobb3o$
35bo15bo3boboo5bobbobb3obb3obo15bo4boo11bo3bo4bo4bo$51bobo10bo5bo4bo7b
o3boo6boobobbo10bobbo3bobb4ob3o$66boo6bo4b4o3b3o4bo3bo3b3o8bo7bo5bo$
35b5o28bo7boo3bobobboo4boo7booboboo4bobo8bobo$35b6o27bo7boobo7bo3bo14b
4o3bo$77bobobbo5bob4o7bo7bo3boo10b3o$28bo6bo3boboboo30b3o3bo10boo8b3o
bbobbo9boo4boo$27b5o5bobobbo33boo30boo4bo5bobboo$27bo6b3o7bo69b3o3bo3b
o$34boboobbo73bobo4boobo$27boboobobobobboobbo76bo3boo$28bo5b3obo75b3ob
o$34b3ob4obo72b4o5bo$27boo4bo4boobobo70bob3obbo$24boo3bobboo80bobbo$
24bobboob4o4bo75bobo$24bobobb3obbobb5o$37boob3o$29boo7bo3bo$22boo4boob
o9b4o$22bobo4bobo6boo$22bobbobbo5boobb3o4bo$19booboobbo6boo7boobo$19bo
7bo7bo4bo5boo$19boboobb3o13bo$28bo7b3o3b3o$23booboo10boobboo$34boo6boo
$23bo11bo4bobo$23bo11bo3bo5bo$19b3obbo11bo6boo4bo$14boo4bo22bobbooboo$
13boobboobo14b3o5bobb5o$13bobobo4bo6boobbooboo$10b3obboboobbo6boo3bobb
o6boboboo$10bo7bo11bo4bo9bo$11boo5bobo11bo12boobbo$10b3obb3o13bo3bo9bo
bbo$11boo4bo12boo3boo4boobobo$8b3o6bo12boo3boo3boo$7boo3bo17boobo7boo$
7bobb4o21bobbobboobboo$7bo4boo17boobo6bobb4o$3o28boobo3bo5boobbo$o6bob
o22bo3b5o$bo4boobo23bo4b3o7bo$3b4obo18b3o4bo3b3o6boo$4boo21bo6boo10bob
oo$28bo5boo4bobobbooboo$30boobbo6boo$31bobbo6b4o$23bo6bobbo8bobo$22boo
5b4o12bo$22bobo3b3o10bobbo$26boo14bo$18boo4b5o14bo$18bobb4obo16b4obo$
18bob4obo19boobbo$19bo4bo20bo3bo$19bo26bobbo$19bo$12boo8bo23boo$11boo
3bobo27boobo$13bob5obo25bobbo$13b4obbobo25boobo$13bobbo32bo$13bobbo$6b
3o35b3o$6bo6bobo27bo3boo$7bo4boobo26bo3bobob3obob3o$9b4obo26bobbo6bobb
o$10boo23b3o3bo9boob3obo$35bo6boo11b3o$36bo4boo11b3o$38b5obo10bo$39boo
4bo3b3obo$49bobbo3bo$43boo7bo$44bobo3bo$44bo5b4o$44bobobo4bobo$45bobb
oo$43boo3boo$44bo$44bo!

BCNU,
-dbell

[dbell]

The new diagonal c/4 tub spaceship allows a much better period multiplication mechanism than the one based on beehives. This eliminates the need for any glider duplications.

Code: Select all

#C A diagonal c/4 period 812 (7 * 29 * 4) sideways rake.
#C This uses a period 116 rake and a period 28 tub puffer whose
#C interactions multiply the input rake's period by seven.
#C Some period 4 eating spaceship are used to clean up the debris.
#C Similar results will occur for other input rakes whose periods
#C are not already a multiple of seven.
#C David I. Bell, 2 February 2024
x = 594, y = 358
77boo$77bobo$77bo$80bo$80boo$76boobboo$76bobboo$76bob3o$77bobbo$76bo$
74b3o$73boo$72boob5o$71boo$58b3o9boo3bo$58bo11bobobo$59bo5b3oboobo$61b
oobbobbo3bo$62bo4bo4bo$52bo13boo4bo15b3o$41b3o7boo11b5o19bo$28bo12bo9b
ob5oboboboobo22bo$27boo13bo3boo4bob3obb3obbo26boo$27bobo14boob3o6boo
32boo$34b3obo6boboob6obobbo4bo$30boobboobb3obb3obo4boo4bo5boo23bo$30b
oobboo3b4o4bobob3o3bo6bobo20bo4bo$31boo6bo4boboo9bo16b3o9b3obobo$31b4o
bo3bo3boboo3bo17boo3bobb3o5booboo$30boboboobo7b3o3bob3o12bobbo6boo4boo
$29boo8boobbo3bo5boobboob3o4bo3bo11boo$29bobobb3o4boo3b3o8boo5b6obbobo
9boo$28bo17boo12boobo4bo10bo3boo$29boo8bobbo8boo19boo3boo3b3o$35booboo
bbo8bobo13bo4bobbobbobbo$35bobo13bo12b3o9b3o3bobo4boo$34bobboobbo3boo
5bobo10bobo6b3o7boo3bobo$34b3o7boo4bo35boo$34booboobo5bobbo4b3o27bob4o
$35bo12boo12bo22boobbo$35bo3bo8boo6boboboobo$35bo3bo9bo8bobbobo$36boob
o8boo10boo$36bo7b4obobbo$37bo5boobobobo7boo$37bo7bo4b3o5boo5boo27boo$
34boo3bo20bo3boo27boo$34bobobboo9bo9boo3bo29bo87b3o$34bo24bo4boo31boo
84bo$39b3o6boo10bo35bo87bo$39b3o6bobboo6bo119b3o4boo$38bo8bob3o8bobbo
31bobbo44b3o33bo5boobo$39bobobbobboo12bo29b3obo47bo36bo3boobbo$40boo4b
o44bobbobbo46bo38bo3bo23boo$41b3o4boo40boo54boo34boo27bobo$44boo4bo15b
oo79bo35boo26bo$50boo13boo23b3o48boo19boo16b4o30bo$40bo5boobboboo6boo
4bobo21boobo47bobboo15boo16boobbo30boo$31boo6boo3boobboboo7boo5boobo
24bo46bo3bo17bo14b3o33boo$31bobo5bobobbobobb3o9bo5bobo21b3obo4bo13boo
27bobbo18bo6boo6bo32boo$31bo11bobbo16boobbobo23boo4boo12boo28bobbo5b3o
10bo6bobboo35boo$35b3o5bo3boo14b4obbo25bo3bobo5boo5bo31bo5bo8b3obbo5bo
3bobo31boobbo$33boob4o11bo13boobboo35boo5boo20b3o15bobb4obbo6boo3bobbo
29bobb3o$33b3o4bo3bo13boo6bo4bo24b3o9bo4bobobboo15bo9bo10bo5bo5boo4bo
31boo$29b3o5boobo5b3o8boo3b3oboo3bo24bo13boo3boob4o14bobb6o3boo11bo7bo
bo34bobo$29bobbo4b3o19bob4obbobo26bo13boo10bo15bo9bobo5bo3bo5b3o32b3o
3bo$23b3o4boboobooboo27bo29bobo22bo16boo7bo6boob3obo3bobbo6b3o11boo9bo
6bobbo$19boobbo9booboboobb3o3boo11bo3bobbobo27boo16bo25boo10booboo6bo
3bo6bo12boo11bo4bo$18boo4bo8boo5bo6boboo10bo3bo4bo27bo19boo22boobo4boo
bbobo3b3ob4oboo6bo3b3o7bobboo8boboo3bo$19bobo4boob3o3bo3bo6booboo6boo
7bo30bobo43boo5bobo3bo3boo3bobbo10boob3o8booboo5b5o$19b3o5booboobo3bo
bbo6bobo7boo38boo19b3o29bo3boo24bobob5o4b6obobo$19boo10bo5boo9bo47bo6b
oo7b3obboobbo23bo3bo6boobbobo4bo3bo6b3o9bo7boo3bobo$21bobo5boboo4bo59b
obboboo8bo6bo10boo12b3obb3o3boob3obo3boboboo5bobobob3o4bobo9bobo$24bob
o4boobbobbo57bo5boo10bo4bo9boo14boboo3bo3boboobo4bobobobbob3obbo6bo4bo
$23boo4b3obbo3bo16boobbo28b3o6bobboboo5b4obo8boo5bo14b4obobb5o7bo5bobo
bo5b3oboob3o$22boboboobobo3bo18b3o3bo27bobb3o4bo3bo6bo3booboobobboo5b
oo11b3o3bo16boo3bobbo5boo4bo3boo$26bobbo7boo16boobboo28bobo26bo5bo4bob
obboo6bo6b4o12boo3bo3bo3bo5bo6b3o$21boo13b3o11bo7b3o33bo9bob3o3boboobo
bo6boo3boob4o8bobbo6bo17bo3bobo10boo$20b3obbo6boobb3o10bobo6boo32bo10b
oo4boboo13boo10bo5bo10bo23bo$23boobo5bobo6boo6bobo42bobo7b7o27bo5b3o$
20bo3boboobobo6boboo8bo36boobo6bo34bo14boo$21bo7bo10bo45boo3bobbobbo
36boo10bob3o$22boo7bo5bobboo38b3o4bobbobbo3bo10boo40bo$22bo4b4o5bo4bo
38bo6bobbobbo3bo12bo22b4o9boo$20b3o3booboo5bobb4o40bo3bo6bobo11boo22b
4o3bo4boo59boo$20bo8boo5bobo3bo37bobbo8boo18bo19bo5b3obboob3o56bobo$
20bobo7boboo8boo37bobbo6b3o17bobo26bo3boobb3o7boo45bo$16boo4bo5boobboo
7boo13boo24bo5bo3bo19bo5boo18bobo4bo3boo7bobo47bo$15boo5bobo3bobboo9bo
13boo4bobo19boboboobo25bobbo17bobo3b3oboo8bo49boo$17bo4b3obbobbobo9b3o
10boo5bobbo8boo10boo30boo18bobo6boo10bobo46boo$19boo6boo3bo3b3obbo3bo
10b4o5bo7bobbo13bo48boo3boobo11b3o5bo39boo$19boo7bobo5bo3bo15b5oboo10b
obo62bo4b3obbo5bo7bobobo3bo30b3oboo$28bo3bo4bo20bobobbo11bo11bobbo28bo
24boobo6boo3boboobo3bob3o28boo5bo$27boobobo7booboo16boo55bobo26booboo
bbob12ob4o28bo4boo$24b3oboo11bo70b3o4bo5boo18bobo8b3o6boo3bo25boobobob
o$23bo4bobbobo6boo41boo27bo11bobbo6boo9bobo4bo6bo7bobo26bob3obbo$22boo
bobobbobo8boo39bo3bo26bo11boo7bobo3bobooboboobbobbob4o20b3o13bob3ob3o$
21bo3bo3boo11bo36b5obo3bobo20b3o19bo3bo3boo4boobboo5bobo18bo13boo7boo$
21bobo6bobobb3o4b3o30boobbobboobobbobbo20b3oboo19boo13bo7bo22bo9boo$
24bobobo3bobbo5bo33boobb3obboobbobbo34bo11boboob4obo32bobboo7boboobbo$
20booboo4boo5bo4bo41b3o3boo34bobo15bobobbo22boo9boboo13bo$20boo3bo3boo
7boo44bobboo26bo10bo5boo5b3o4bo3bo20bobo7bobbo9b3obb3o$21booboobbobobo
6bo45bobbo19boobobb5o12bobbo4bobbobobobobo10b3o7bo9bobb3o7bob3o$21boo
5bobobo6bo33boo10b3o19boo3boboboobo12boo5bo6boboobo9bo12bob4obobbo7bo$
21boobo5bo42boo33bobbo5bobo21bobbobboo13bo11boobo3bo3boo5b3o3bo$24bo5b
3o56bo18bobbo29bobbo9bobo7bobob3o3bo7bo9bo3bo$19bo4bo5bo57bobo17bo24bo
9boo3bo4boo3bo4b3oboboo4bo6bo12bo$18boo3boo5boo55bobbo20bo20bobo6boo4b
obo8bo8bobboboo15boo$18bobo3b5o59boo11boo5bobbo5b3o13bo5b5o4boo4boo3bo
bo3bob3oboboo13boboo$22boo3boo71boo3boboobboo4bo20bobbo8b3o3bo3boobobo
bbo7b5o3boobb3o$21bo6bo73bob4obb3o6bo19boo12bo15boo4boobb3obobobbobo$
28boo43boobo25boobobb4obboo39bobo4boo6bobboo5bobobbo$21bo4b3obbo41bo3b
o24bo3bobbo4boobo39bo3b3obboobo11b5o$7b3o11bobbobbo45bo4bo23bo3boboobb
o3bo23bo18bo6bo3bo13bobbo$7bo13bobbo4bobobo41boo25bobob3ob3o8boobbo13b
obo17bobb4o4bobo7boo3bobo$8bo12bobo9bo43bobo23bobbobo11boo4bo13bo18bo
6bo13bo$10boo10bo3b3o73boo3bo3bobbo6bobo37bobboo6boo$11bo11boo3b3o48b
oo22bo7bobb5obb4oboo44bo$20b6obb3o49bobbo19bo4bo7bo3boo5boobo40boo$8b
oo3bo5boobbobbobbo78boo6boobbo4boo45boo$3o5boobbobo4bo6boboo49boobbo
24boo9boo3b4obboo15bo$o6bobo3bobb3o3bo56bo44bo6bo14bobo25bo$bo4boo6b3o
4bo6boobo115bo25bobboo$3b4obo19boo50b3o44b3oboo41boboo$4boo10bo11b3obo
145bo$16bobo10bobbo43bo4boo47bo45bobo$26boobbobboo40boo53bo45bo$26boo
4boobboo37bobobboo48bo23bo22bobo$24boboobb3obbo43b3o71bobo23bo$23b3o4b
oo4bo41bobbo72bo$23bobo9bobo35boo$35bo37bobobboo47b3o55b3o403b3o$28b3o
42bobboboo49bo57bo405bo$28bo6bobo39boo49bo57bo405bo$29bobb3o37bo3b3o
82bo$31bobbo29boo5boo3boo82bobo$34bo28boo5bo90bo$23b3o39bo4bobo$23bo9b
o33boobbo$24bobb6o34boo17boobo$26bo59bo3bo$27boo57bo4bo57boo17bo$88boo
58boo17bobo$90bobo50boo4bobo16bo$142boo5boobo$85bo6boo50bo5bobo$84b5o
4bobbo49boobbobo$78boo4bo6boo53b4obbo$78bobo11bo55boobboo21bo$78bo5bob
oo6bobo44boo6bo4bo19bobo$79boo4bo4bobo47boo3b3oboo3bo20bo47boo$79bobbo
6b3o50bob4obbobo69boobo$79bo6booboo59bo72bo$81bobobobbo55bo3bobbobo69b
obbo$144bo3bo4bo69bo3bo$83bo4bo60bo32bo40bobbo$84b4o93bobo$182bo$218b
oobobb3o$218boboobbobb3o$218boboo6boo$219bo$189bo29boo$188bobo28boo$
189bo21boobo3b3o7boo$211bo3bobbobbo5boo46b3o$211bo4bo4boo5boo45bo$213b
obobbobbo3b3o48bo$213boob4o3bob3o50boo$196bo16boobobo60bo$195bobo14bob
o6boo8boo$196bo15bobbobobobo9bobb3o37bo24b3o$217bo3b4o6bob4o35bob5o20b
o$212boo3bo3boboobboo3bo3bobo32boo4boo21bo$214bo11boobbo9bo31boo28boo$
218boo7b4o7b3o25b3obbo31bo$218boo9bo4b7obo23bobboobbo20boo$234bo32boob
5o18boo3bo$235bobbo3bo21b5obooboo19bobob5o$238bo3bo20boobbo26boobo3boo
$238bobbo23bo28b3o$265boobb3o$239bobo22boobo20boobo$210bo29bo14boo10bo
3bo16bo3bobbobo$209bobo43bobo4boob3obo18bo4boboo$210bo44bo6boo26bobo3b
o$252boobo7boo20bo4b3o$252bo4bobob3o20b4obb3o$247boo3bo3bobo3boo20bo5b
3o$247bobo3boobo29b3oboo$217bo28bobbo3booboo$216bobo21bo5boo6bobboo$
217bo21b5obo4bo4bo22b3o4b3o$239bo6bo4boo4boo7boo10bo6b3o$247bobobo13b
oo6bo5bo5bo$239boboo5bobbo15bobb5o6boo$228b3o9bo10bo17bo3bobo6b3o$228b
o16boo22b5oboboboo$229bo11boobboobo5boo9b3obbo5bob4o$231b3o3bo3boobbob
oo4boo4boo3bobbo3bo4bo7bo$232b3oboo3boo3boo7bobboobb4o4bo4boo26b3o$
234boobbo6b3o9bobobbo9b3o28bo$234b3obb6obobobbobo3bobbo5bo37bo$239b3o
bb3obobobbo6bo45boo$236bobo7bo3bo4bobbobo14b6o26bo$241boobb3o3bobboo
15boobb7o$238bobbobboo3boo7bobo9boobbooboobobbo18b3o$239boo3bo10bo5bo
bbo6boobboo7b4obo11bo3boo$239bo11bo3boboobbobboo4booboobo5bobbobobo10b
o3bobob3obob3o$230boo20booboo4bo3bobob3oboo7bo4bobo9bobbo6bobbo$230boo
23boo23bo4bo13bo9boob3obo$263bobobo7bo3boobo5boobb3o5boo11b3o$263bo3b
oo6bobob3o7boboobbob4o11b3o$269bo5bobo14b3obb4obo10bo$223bo38boo28bo3b
obo4bo3b3obo$222b6o36bo25boo5bo9bobbo3bo$222bo6bo71boo7bo$223bo5bo72bo
bo3bo$227boobo71bo5b4o$224boo76bobobo4bobo36boo$224bobo76bobboo41boo$
301boo3boo43bo$223b4obo73bo43boo$214boo7bo78bo7boo33boo5b3o$213boobo4b
oo5bobo78boo36bobbooboo$214bo3boobobbo4b3o79bo37bo28bo$214bo3bobbo4bo
3bobo80boo33booboo24boo$214bo4bobo3bo6boo78bo36bo27bobo$214bobbo13b3o
74bo19boo16b3o$217bo3bobo10bo72b4o17bobo15bobbo30boo$215boo7bo7b3o3bo
68bobboobo14bo16bobbo31boo$217bo5b3o7boboboboo68bo29bo4boo$224bobbo5b
3oboboo69boo7boo9b3o5b4obboo32boo$225b3obo4bob3o71b3o5boo8bo9bobboobo
32bobbo$226boob3o4bobo18boo43boo5boo9bobboobboo3bobboobobo3bo31boobo$
228booboo3boo18bobbo41boo6boo11boob3o7bob4o31b3o$230boo4bobboob3o12boo
44bobbooboo4bo7boobo3bo4boboo33bo$232b4obobbo7bo56boo7boo6bobbo3bo3boo
33boo3bo$230b3obobob3o3bobboo56boo7bobo4bobboo6boo9boo11boo9boo5boboo$
229bobboo3bo9bob5obo53bobo9bo5bobo4boo6boo12bobo10bo5b3o$230boo3bobo4b
o7bo3b4o50b3o6bobboboo7b3obo8bobboo7bo3bobo8bob4o$230boo3b3o11bo3bo57b
o4b5o5boo3bobbobbo8boboo9boobbo6bobboo$248b3o65bo3boo5bo4bo5bo7bo3boo
7bobbobbo3boo$235bo3bo9bob4o57bo5bo3bo4boo15boobbo3b4o6bobbobob3o$235b
o6bo5boo3bobo40boo12boo3b3o4bobobobo3boboboo5bobboboboob4obbo5bobo$
235bobo3b5oboobob3obb3o36bobo12bobbobo5b3obbo4b5obobobbo7bobbobbobobbo
$241bo8b3o5boo29boo5bo14boboob3oboo18bobo3b6o3bo$249boobbo35bobo3boobb
o9boo5bo3bo10boobboo12bobo3bo$241boboob5obboboo32bo11bo6boo5b7o9bo5bob
3obbobo3bo5boboo$233booboo4bo5boobboo38bo3boo3b3o6b3o7boo22boo12bobo$
233bob3o54boo4boo4bo5boo4boobobo24bo$233bobboo3boo7boo3boo41b7o8bo$
240boo8boo4bo42b4o8bo$237bo3boo9bo3b3o53booboo$237bo3b3o3boobbo4bobo
56boo$241bo5bo8bo54boboo$242boo3bobo9bo38b6obbo3bobboo57bo$254bobb3o
38bo3b4o4bobbo57boo$253b5o41bo6bo3boo4bo8bo45bobo$253bobbo47boo5bobob
oo7boo$255boo47boo5bo12bobo47boo$256bobboo45bo3bo3bo13bo45boo$253bo4b
oo45boo6boo11bo3bo$254boboboo45bo4boobboo9boo5b3obbo31booboo$256boobo
bbo43bo3bobboo5b3obb4obo6b3o27boob3obo$257bo4bo51bobo3bo8booboobbo30bo
bboobbo$262bo53boo5boo8b3o27bo5bo$257bobo4b3o34bo8b3oboboo3boboo4boo3b
oo26b6obo$259boobo37boo6bo5bobbo3bobbobbo19boo13bo6boo$262bo37bobobb4o
6bobboo5bo20boo$304b3obo6boobo7boo19bobo9b3o4bo3bo$303bobbooboobooboob
o28boobo8bo3boo$309bobo4bo21bo9boboo9bo4bo$306boo4boboboo19boo9bobo15b
o$305boo3b3obobobo9boo7bobo6bo4bo8booboobbo$305bobb3o3boo11boo14boobbo
3boo6bo3bo$307b3o3bo4bo10bo5bo4boobobobo3boo5b3ob3o39b3o$312bo4bo3boo
10bobbo3boo5boo8bo3boo41bo$308bob4o6b3o7boobobbo5bo3bobo11bo44bo$309bo
bboob5obb4o3boobo3b3o17bo43b3o4boo$310bo4b3ob5o3b3obobo3boboobbo11boo
bbo4b3o33bo5boobo$318bo6boboobbobboo3bobbobboo3boobboobbo5bo36bo3boobb
o$320bo10bo6booboobboobbobo13bo38bo3bo23boo$320bo3bo5b3o3b4o8bo6boo10b
oo34boo27bobo$322boo3b3oboo4bo9booboo16bo35boo26bo$326bobo5boobo9bo3b
3o8boo19boo16b4o30bo$325b4oboo14boo4boo8bobboo15boo16boobbo30boo$326b
oo3bo5bobo6bo15bo3bo17bo14b3o33boo$328boboo15bo16bobbo18bo6boo6bo32boo
$338bobo23bobbo5b3o10bo6bobboo35boo$338boo27bo5bo8b3obbo5bo3bobo31boo
bbo$338bo17b3o15bobb4obbo6boo3bobbo29bobb3o$356bo9bo10bo5bo5boo4bo31b
oo$340bo16bobb6o3boo11bo7bobo34bobo$340b3o16bo9bobo5bo3bo5b3o32b3o3bo$
340b3obo15boo7bo6boob3obo3bobbo6b3o11boo9bo6bobbo$363boo10booboo6bo3bo
6bo12boo11bo4bo$342b3o18boobo4boobbobo3b3ob4oboo6bo3b3o7bobboo8boboo3b
o$342bobo19boo5bobo3bo3boo3bobbo10boob3o8booboo5b5o$343b3o25bo3boo24bo
bob5o4b6obobo$345bo20bo3bo6boobbobo4bo3bo6b3o9bo7boo3bobo$351boo12b3o
bb3o3boob3obo3boboboo5bobobob3o4bobo9bobo$350boo14boboo3bo3boboobo4bob
obobbob3obbo6bo4bo$344boo5bo14b4obobb5o7bo5bobobo5b3oboob3o$343boo5boo
11b3o3bo16boo3bobbo5boo4bo3boo$345bo4bobobboo6bo6b4o12boo3bo3bo3bo5bo
6b3o$347boo3boob4o8bobbo6bo17bo3bobo10boo$347boo10bo5bo10bo23bo$359bo
5b3o$353bo14boo$355boo10bob3o$371bo$354b4o9boo$353b4o3bo4boo59boo$353b
o5b3obboob3o56bobo$361bo3boobb3o7boo45bo$359bobo4bo3boo7bobo47bo$359bo
bo3b3oboo8bo49boo$359bobo6boo10bobo46boo$360boo3boobo11b3o5bo39boo$
360bo4b3obbo5bo7bobobo3bo30b3oboo$365boobo6boo3boboobo3bob3o28boo5bo$
368booboobbob12ob4o28bo4boo$366bobo8b3o6boo3bo25boobobobo$355boo9bobo
4bo6bo7bobo26bob3obbo$355bobo3bobooboboobbobbob4o20b3o13bob3ob3o$355bo
3bo3boo4boobboo5bobo18bo13boo7boo$358boo13bo7bo22bo9boo$359boboob4obo
32bobboo7boboobbo$364bobobbo22boo9boboo13bo$360b3o4bo3bo20bobo7bobbo9b
3obb3o$360bobbobobobobo10b3o7bo9bobb3o7bob3o$360bo6boboobo9bo12bob4obo
bbo7bo$362bobbobboo13bo11boobo3bo3boo5b3o3bo$362bobbo9bobo7bobob3o3bo
7bo9bo3bo$364boo3bo4boo3bo4b3oboboo4bo6bo12bo$364bo3bobo8bo8bobboboo
15boo$369boo4boo3bobo3bob3oboboo13boboo$371b3o3bo3boobobobbo7b5o3boobb
3o$374bo15boo4boobb3obobobbobo$376bobo4boo6bobboo5bobobbo$378bo3b3obb
oobo11b5o$380bo6bo3bo13bobbo$380bobb4o4bobo7boo3bobo$380bo6bo13bo$382b
obboo6boo$393bo$392boo$393boo$$395bo$394bobboo$395boboo$399bo$397bobo$
397bo$398bobo$400bo!

This really shows off the no-extra-clearance eating ships since there are some objects being deleted which are on adjacent lanes.

BCNU,
-dbell

[Sokwe]

[c/4 diagonal tub eater] solved

The eater can also be used with barges.

Code: Select all

#C A diagonal c/4 spaceship can convert long barges into long boats
#C or long ships depending on whether one or both ends are perturbed.
#C A small enough barge such as the one shown here can then be deleted.
x = 130, y = 128
88boo$88bobo$88bo$91bo$91boo$91boo$90boo20boo$85b3oboo21bobo$84boo5bo
20bo$84bo4boo24bo$79boobobobo28boo$79bob3obbo20bo7boo$79bob3ob3o18boo
6boo$77boo7boo18bob4oboo$76boo31bo5bo$76boboobbo25boo3boo$82bo24b5o$
77b3obb3o23bo$77bob3o18b3o4boo$67b3o5bo24bobb3obboo$67bo7b3o3bo20bo$
69bo5bo3bo21boo5boo$64b4obo8bo18boobboo3bo$64bobbo3boboo21boo3boo$59b
3o3bo5bo3bo22boboobo$59bo6bobbo30bobo$61bo5bobobo27b3o$52boobobbobo7b
oobo19boo6boo$51boo3bobobo3bobo3bo8bo11bobo4bobo$52bobbo3bobob3o12boo
11bo5boo$34bo17bobbo4boobo14bobobb3o8bob3o$33bobo5boo9bo7boobboo16b4ob
oo5boobo$32bobo6bobo11bo3boo20bo5b3o7bo$31bobo7bo16b3o6bo10boo5bo4bo5b
o$32bo11bo8b5o3bo4boo4bo5bo8boobb5o$44boobboobobobboo8bobo3b3obbobbob
3obo5boo22boo$48boo3b5o12bo4bob3o3boo4bo26bobo$48boobbobo6boo7bo6boo
10bo26bo$48boo6b3ob4oboo3boo14bob4o27bo$31b3o14booboobboboobbo3boo4bo
bbo14b3o27boo$31bo17bo4boobo3boo3bobo4bo10bo4b3obo25boo$32bo18bo5boobb
oobo4bo13b5o6boobbo16booboo$34boo16bo9b3obbobb4o9boboo6b4obbo14bobb3o$
35bo15bo3boboo5bobbobb3obb3obo15bo4boo11bo3bo4bo4bo$51bobo10bo5bo4bo7b
o3boo6boobobbo10bobbo3bobb4ob3o$66boo6bo4b4o3b3o4bo3bo3b3o8bo7bo5bo$
35b5o28bo7boo3bobobboo4boo7booboboo4bobo8bobo$35b6o27bo7boobo7bo3bo14b
4o3bo$77bobobbo5bob4o7bo7bo3boo10b3o$28bo6bo3boboboo30b3o3bo10boo8b3o
bbobbo9boo4boo$27b5o5bobobbo33boo30boo4bo5bobboo$27bo6b3o7bo69b3o3bo3b
o$34boboobbo73bobo4boobo$27boboobobobobboobbo76bo3boo$28bo5b3obo75b3ob
o$34b3ob4obo72b4o5bo$27boo4bo4boobobo70bob3obbo$24boo3bobboo80bobbo$
24bobboob4o4bo75bobo$24bobobb3obbobb5o$37boob3o$29boo7bo3bo$22boo4boob
o9b4o$22bobo4bobo6boo$22bobbobbo5boobb3o4bo$19booboobbo6boo7boobo$19bo
7bo7bo4bo5boo$19boboobb3o13bo$28bo7b3o3b3o$23booboo10boobboo$34boo6boo
$23bo11bo4bobo$23bo11bo3bo5bo$19b3obbo11bo6boo4bo$14boo4bo22bobbooboo$
13boobboobo14b3o5bobb5o$13bobobo4bo6boobbooboo$10b3obboboobbo6boo3bobb
o6boboboo$10bo7bo11bo4bo9bo$11boo5bobo11bo12boobbo$10b3obb3o13bo3bo9bo
bbo$11boo4bo12boo3boo4boobobo$8b3o6bo12boo3boo3boo$7boo3bo17boobo7boo$
7bobb4o21bobbobboobboo$7bo4boo17boobo6bobb4o$3o28boobo3bo5boobbo$o6bob
o22bo3b5o$bo4boobo23bo4b3o7bo$3b4obo18b3o4bo3b3o6boo$4boo21bo6boo10bob
oo$28bo5boo4bobobbooboo$30boobbo6boo$31bobbo6b4o$23bo6bobbo8bobo$22boo
5b4o12bo$22bobo3b3o10bobbo$26boo14bo$18boo4b5o14bo$18bobb4obo16b4obo$
18bob4obo19boobbo$19bo4bo20bo3bo$19bo26bobbo$19bo$12boo8bo23boo$11boo
3bobo27boobo$13bob5obo25bobbo$13b4obbobo25boobo$13bobbo32bo$13bobbo$6b
3o35b3o$6bo6bobo27bo3boo$7bo4boobo26bo3bobob3obob3o$9b4obo26bobbo6bobb
o$10boo23b3o3bo9boob3obo$35bo6boo11b3o$36bo4boo11b3o$38b5obo10bo$39boo
4bo3b3obo$49bobbo3bo$43boo7bo$44bobo3bo$44bo5b4o$44bobobo4bobo$45bobb
oo$43boo3boo$44bo$44bo!

It can also eat a barge in the other orientation, although only the 6-cell form and not longer barges (shown here with some reductions):

Code: Select all

x = 51, y = 81, rule = B3/S23
31b3o$31bo8bo$32bo6bobo$34b2o4bobo$35bo5bo$44bo$43bobo$35b5o4bobo$35b
6o4bo2$28bo6bo3bobob2o$27b5o5bobo2bo$27bo6b3o7bo$34bob2o2bo$27bob2obob
obo2b2o2bo$28bo5b3obo$34b3ob4obo$27b2o4bo4b2obobo$24b2o3bo2b2o$24bo2b
2ob4o4bo$24bobo2b3o2bo2b5o$37b2ob3o$29b2o7bo3bo$22b2o4b2obo9b4o$22bobo
4bobo6b2o$22bo2bo2bo5b2o2b3o4bo$19b2ob2o2bo6b2o7b2obo$19bo7bo7bo4bo5b
2o$19bob2o2b3o13bo$28bo7b3o3b3o$23b2ob2o10b2o2b2o$34b2o6b2o$23bo11bo4b
obo$23bo11bo3bo5bo$19b3o2bo11bo6b2o4bo$14b2o4bo22bo2b2ob2o$13b2o2b2obo
14b3o5bo2b5o$13bobobo4bo6b2o2b2ob2o$10b3o2bob2o2bo6b2o3bo2bo6bobob2o$
10bo7bo11bo4bo9bo$11b2o5bobo11bo12b2o2bo$10b3o2b3o13bo3bo9bo2bo$11b2o
4bo12b2o3b2o4b2obobo$8b3o6bo12b2o3b2o3b2o$7b2o3bo17b2obo7b2o$7bo2b4o
21bo2bo2b2o2b2o$7bo4b2o17b2obo6bo2b4o$3o28b2obo3bo5b2o2bo$o6bobo18bo3b
o3b5o$bo4b2obo17b2o4bo4b3o7bo$3b4obo18bobo4bo3b3o6b2o$4b2o28b2o10bob2o
$30b2o2b2o4bobo2b2ob2o$30b2o9b2o$22b2o5b2o10b4o$21b2o6b2o11bobo$23bo2b
2ob2o14bo$25b2o14bo2bo$25b2o15bo$43bo$43b4obo$45b2o2bo$45bo3bo$46bo2bo
$40bo$39b2o5b2o$39bobo4b2obo$47bo2bo$42b2o3b2obo$42b2o5bo2$38bob2o$37b
4o5b3o$37bo3b2o4bo2bo$42bo2bo2b2o2$41b2o3bo$41b2o3bo$42bo$42bo$43b2o!

Code: Select all

#C A diagonal c/4 period 28 tub puffer.
#C This uses a dirty period 28 puffer whose beehives are eaten.
x = 128, y = 126
9boboo$7b3oboobo$7bo3bobbo$bo5bo4boboo$oo6bo4bobo$obo3boo6bobo$4bo13b
3o5bobo$3bo4bo9bobbobboobobo$3bobbo11bo3boobo4bo$15boo4boobo$14boo11bo
bo$16bo$27b4o$26b4o3bo$26bo5b3o$34bo$17bo14bobo$16boo14bobo$16bobo13bo
bo$29boobboo$19boo8bo4bobb3o$19boo8bo3bo$26boobobboo8bo$15boboo7bo3bo
10bobo$14b4o8bob3obo9bo$14bo3boo12bo$19bobbo7bo$26bo3bobo$18boo3boboo
4bo12bo$18boo3boboboobobo10bobo3bo$19bo5bo17bobobbobo$19bo6bo17bo4bo$
20boo8bo$29boo$29bobo$51bo$32boo16bobo3bo$32boo16bobobbobo$51bo4bo$28b
oboo$27b4o$27bo3boo$32bobbo3boo17bo$38boo17bobo3bo$31boo3boboo10b3o4bo
bobbobo$17boo12boo3boboo10bo7bo4bo$17bobo12bo5bo12bo$17bo14bo20bo$20bo
12boo5bob3o7b3o$19bobo17boo4boo9b3o$19bobo18b6o5bobbobo13bo$11b3o5bo
34bobobboo8bobo$11bo7bobboo6boo19boo4bo12bo$6boo6boo3bobb3o5bo9bo10boo
boo5boo$6bobo3bo6bo4bobbobbobboo4b3obob3o6bobbob3o$6bo5boo4bo4bobb4o4b
o4bob3ob3ob3obboo$9bo4b3o10bobobbobobobobobbobbo7bob3o$9boo17boo5bobbo
bo3boob5o7bobbo14bo$19b3o6b3o4boo3booboo3bobbooboob3obobo12bobo$19bo6b
oo3boo3bo4b3obbo5bo5bo3boo13bo$20bobb3obobobo4boo3boo5bo7boo6bo$23bo3b
o3bo16bobbo6bo5bo$15boo7bo3bobbo18boboo10bo$15bobo11bo22bo8bo3bo$15bo
6boobo3bo17boobbo8boobo20bo$21boobbobobo3bo12boo15bobbo16bobo$17booboo
boob4obbo15boobo8bo3bo19bo$17bo4bo3bobbo18boobo14boo$17bo3boo4boo12b3o
4boobo9boo$17bo3bo5boo12bobbooboob3o10bo4b3o$20boobooboo14bobbobbo4bo
10bo$12bo3bobbo3boo3bo15booboo3bo4boo4boobbo3bo19bo$11boo3b3obbobobboo
19boo8bobo6boobo20bobo$11bobobbo29bobo8bo3bobboboobo21bo$23bo23boo11b
oo7bobo$14boo6b3o4b3o14boboo11boboo4bobo$16bo3boobo3booboo16boo10bo6b
oobo$20bobbobbo18boobobo10b3o3bo$18bobo3bobboo18bo12bobboo33bo$17b3ob
3o24bobo9boobobobo29bobo$17bo5bo3booboo15b3o10b3obbooboo28bo$19bo6boob
o16b3o6b3o5bo9bo$14b3o30boo6bo6bo6bob4o$14bo13b3o25bo5boobbo4bobbobbo$
17boo12boo25b3obbobbo9bobo$15bo12boo29bobo3bo39bo$15boo4boo5bo29bo5boo
11booboo22bobo$17bo3bobo3boo29boo4bo12boo3bo22bo$13bobbo4bo4bo4boo25bo
5bo14boo$5boo5boo10boboobbobbo24bo5boo16boo$5bobo3b4o9b3obobobo18boo
11b3obboo$5bo5bo11bo3bobo21bobbob4o5bobobo$9bobo11b3o3bo21bo3bo4boo4b
oo44bo$bboo4b5o10boobbobo23bo11bobo43bobo$bbobobbobbo13boobo3bo22b5o5b
obboo43bo$bbo3boo17boboboo23boobobo4b4obo$5boo18bo3bo27bobo$5bobbo16bo
bbo39boo$6boo17bo3bo33b3o$22bo6boo31bobo54bo$21boo3booboo31b4o52bobo$
21bobo7boo30bo55bo$27boobboo25b3o$24boo5bo21boo4bo$23b3o26boobboobo$
23bobo26bobobo4bo$24boo23b3obboboobbo65bo$24boo23bo7bo67bobo$25boo23b
oo5bobo66bo$26bo22b3obb3o$25bo24boo4bo$20boo25b3o6bo$20bobobbobo18boo
3bo$20bo3bobo19bobb4o$23boobbo18bo4boo$24bobo12b3o$18boo3boo14bo6bobo$
17boobob3o15bo4boobo$19bobo20b4obo$43boo$16boo$8b3o5boo3bobo$8bo6bobo$
9bo4boo$11b4obo$12boo!

The beehive-suppressing spark in the Amling's p40 ship can be used to make a much smaller p28 tub puffer:

Code: Select all

x = 62, y = 68, rule = B3/S23
6b2o$5b2o$7bo22b2o$9b2o18b2o$8bo22bo$33b2o$7bo2bo21bo$4b2obo$3b2o4bo
21bo2bo$5bobo2bo2b3o12b2obo$10bo2bo13b2o4bo$7bo2bo3bo14bobo2bo$8bobo3b
o19bo$8bobo2b2o16bo2bo$9b2o2b3o16bobo$9bo22bobo$15bobobo9b2o2b2o2bo2bo
$16b2o2b3o6bo4bo3bobo$17bo4bo6bo3bo5bo$22bobo6bobo$25b2o5bo$22b2o2bo3b
o3b2obo$12b2o8b2o3b2obo2b2o$12bobo3bo3b2o2b2o4bobo2bo8bo$12bo3bo3bo5bo
4bob3o9bobo$15b2o3b2o2b2o6bo13bo$16bobo3b5o6bo$13b3o6b2o7b2ob2o$13bo2b
o15bo3b3o$13bobo14b2obob5o$14bobo13b2ob4obo14bo$14bo9bo6b5o3bo12bobo$
13b2obo6b2o8bo5bobo11bo$13b2o8bobo2b3ob3o3b3o$11bo15b5o3b6o$3b3o4bobo
13bo3b2o4b3o$3bo5b2o16bo5bo2bo$4bo4bobo11b2o5b2obob2ob3o19bo$6b3o2bo
11bobo3bo2b4obo3bo17bobo$3o4bo15bo5bo30bo$o4b3o18bo3b2o2bobo$bo4bo19b
2o8bob2ob5o$3bobo25bo2bo2b2o4bo$4bo27bo7bo$5bo24bo9bo$31bo7bo$29bo9bo
2b2o$28b3o4b2o6bo$30bo4bobo2b2ob2o$26bo2bo5bo3bo2b2o$23b2obo11b3obo$
22b2o4bo10bo2bobo$24bobo2bo10b2o2bo$29bo13bo$26bo2bo10b2o3bo$27bobo10b
o4bo$27bobo10bo$28b2o7b2o3bo$28bo7b2o3bo$36bo2bo$35b2o$37bo$35b2o$35b
2o$37bo$36b2o$36bo$37bo!

[dbell]

Here is a diagonal c/4 glider stream period tripling reaction that doesn't require any glider duplications.

Code: Select all

#C A diagonal c/4 period 240 sideways rake.
#C This uses a period 80 puffer which is period tripled by a
#C period 24 ship puffer, and whose debris is cleaned up using
#C period 4 eating spaceships.  Other rakes which have a period
#C which is a multiple of eight and not already a multiple of
#C three can be period tripled in the same manner.  This is a
#C much smaller version of a previous period 240 rake.
#C David I. Bell, 2 February 2024
x = 420, y = 379
69b3o$69bo3boo$72bo$69bo$66boobo3bobo$65boo4bobo$66bo3boo$66boboo$60bo
5bo$59boo5bo$59bob3obb3o$48b3ob3o3bobo5boo$48bobbob3ob4o5boo$51boo4bob
oo14bo$45b4o22bobob3o$45bo5bo17boobo5bo$38boo8boboboo14boob8o$25b3o9b
oo6bo5b3obo13bo3b4o$25bo13bobboobo3bobbo13b3o$3o15b3o6bo13boobbo5bobob
3o8bobbo$obb4obbo8bo6bobo13b3obboo5bo7boobbo3bo$b3ob4obo8bo4boob4o22bo
boo3boobboo$3b3obbobboboo6b4ob5oboo5boo12bo7booboo3bo$10bobbo8boo7boob
o3bobboboo4boobooboo3boobboo$12boobo21boobobo6boob4o4bo4boo20boo$15bo
22boo6boo3bo4b3o6boo7boboo8boo$15b3o24bobb3o9bo7bo6boobboo9bobo$17bo
12bo7bobo11bo5bo11boo4booboo6boobo$17b3o4boo5boo4b6obboo22bo3boo13boob
o$19b6oboo5bo3bo6bobo5bo5boo8bo4bo5b3obboo3bobo$20boobboobobobbo3boo5b
o6b4o3bo4bo5bo5b8obboo$22boobboobo3boboo3bobo3b4obobbob5o9bo7boobobboo
$22boobb3ob5o3bobo11b3obbo4boo10bo3boo6bo$21boo9bobboo7b4o11bobobboobb
3obobboboo4bobo$13boo6bobbobo5bo3boo3boo3boo4bobboboboo3b3o3bobo9bobb
oo$13bobo4bo4bo13bo12bob3o4b3obbo9booboboobbo$13bo5boo10b3obo3boo15bo
bbo5bobo8bo3bobbo3bobo$16bo3boo10bobobboboo15bobobboobbobo12bo4bo3bo$
16boobboob3o6boboobboo27bo6b3obbo4bo$19b3obboo7boobbo23b3o5bobo5bobo4b
obbo$15bobob3o13bo24boobbo4b4obo4bo$15bobo3bo18bobo19bobo5bo$14bo6bob
oo16boo$13booboo3bo3bo15bo$12boobo4boo3bo$13bo4bo3b5o17bobo27boo$13bo
4bo6b3o17boo27bobo$25b3o17bo28bo$14b3o8boo50bo$15boo8boo21bobo26boo3bo
$14b3o32boo26boobbobo5boo$15boo8bo23bo28boboobbo4bobo$21booboo52boobob
3o3bobo$20boo3bo26bobo23bobo3boo4b3o$22boboo27boo23bo5bo5bobo$27bo25bo
10b3o17boo4b3o$64bo12boo11boo$26b3o27bobo6bo10boboo11bo$20boobboo31boo
8b3o5bo4bo4bo4b3o$20boboboobo29bo10b6oboo3bo3b5o6bo$20bo3bo46bo4bo7bo
6booboo$60bobo7bobo4boo$24bo36boo6b3o12boboo$26bo34bo6bo16bo$23boo28b
oo14bobo6bo15boo$22bo30bobo8bobo3b5obb5obboobo6bobo$21bobbobo26bo11boo
4boobobbobboobb4o6bo$22boboo31b3o5bo13bobo3boobbooboo$21bo33boob4o18bo
11bo$20b3o32b3o4bo7boo5bobbob3o3bo$51b3o5boobo6boo9bobboobbo4bo5bo$20b
oobbo26bobbo4b3o7bo8b3obbo3bo9boo$22bo22b3o4boboobooboo17bobobob3oboo
6bob5o$41boobbo9booboboobb3o11boo3b4o3bobboo5bo4bo$40boo4bo8boo5bo14bo
3bo3bo7bobbobbo5bo$41bobo4boob3o3bo3bo14bo3bo4bo6bobboo10bo$41b3o5boob
oobo3bobbo15boo4bo9bo6booboobbo$41boo10bo5boo24bo14boobboo3bo$43bobo5b
oboo4bo42bobo$46bobo4boobbobbo43bobbobo98b3o$45boo4b3obbo3bo43boo3bo
98bo3boo$44boboboobobo3bo47b3o103bo$48bobbo7boo44bo102bo$43boo13b3o11b
obo32bo97boobo3bobo$42b3obbo6boobb3o11b4o31bo96boo4bobo$45boobo5bobo6b
oo7boobbo128bo3boo$42bo3boboobobo6boboo8bobbo129boboo$43bo7bo10bo9b3o
124bo5bo$44boo7bo5bobboo9bo124boo5bo$44bo4b4o5bo4bo134bob3obb3o$42b3o
3booboo5bobb4o122b3ob3o3bobo5boo$42bo8boo5bobo3bo122bobbob3ob4o5boo$
42bobo7boboo8boo124boo4boboo14bo$38boo4bo5boobboo7boo119b4o22bobob3o$
37boo5bobo3bobboo9bo12bo106bo5bo17boobo5bo$39bo4b3obbobbobo9b3o10b3o5b
oo90boo8boboboo14boob8o$41boo6boo3bo3b3obbo3bo9bobo84b3o9boo6bo5b3obo
13bo3b4o$41boo7bobo5bo3bo15boobbobbo78bo13bobboobo3bobbo13b3o$50bo3bo
4bo17bobo4bo54b3o15b3o6bo13boobbo5bobob3o8bobbo$49boobobo7booboo11boo
4bo54bobb4obbo8bo6bobo13b3obboo5bo7boobbo3bo$46b3oboo11bo76b3ob4obo8bo
4boob4o22boboo3boobboo$45bo4bobbobo6boo78b3obbobboboo6b4ob5oboo5boo12b
o7booboo3bo$44boobobobbobo8boo15b3o66bobbo8boo7boobo3bobboboo4booboob
oo3boobboo$43bo3bo3boo11bo15boboo67boobo21boobobo6boob4o4bo4boo20boo$
43bobo6bobobb3o4b3o14b3o11boo57bo22boo6boo3bo4b3o6boo7boboo8boo$46bobo
bo3bobbo5bo17boo12boo57b3o24bobb3o9bo7bo6boobboo9bobo$42booboo4boo5bo
4bo16boo74bo12bo7bobo11bo5bo11boo4booboo6boobo$42boo3bo3boo7boo18bo11b
oo62b3o4boo5boo4b6obboo22bo3boo13boobo$43booboobbobobo6bo29bobbo63b6ob
oo5bo3bo6bobo5bo5boo8bo4bo5b3obboo3bobo$43boo5bobobo6bo29bobo41bo23boo
bboobobobbo3boo5bo6b4o3bo4bo5bo5b8obboo$43boobo5bo39bo41boo25boobboobo
3boboo3bobo3b4obobbob5o9bo7boobobboo$46bo5b3o48boo29bobo24boobb3ob5o3b
obo11b3obbo4boo10bo3boo6bo$41bo4bo5bo45b4o4b3o27bo23boo9bobboo7b4o11bo
bobboobb3obobboboo4bobo$40boo3boo5boo43b6obbobo29bo14boo6bobbobo5bo3b
oo3boo3boo4bobboboboo3b3o3bobo9bobboo$40bobo3b5o45bo3bobobbo28boboo14b
obo4bo4bo13bo12bob3o4b3obbo9booboboobbo$44boo3boo46bo4b3obo4boo22bo16b
o5boo10b3obo3boo15bobbo5bobo8bo3bobbo3bobo$43bo6bo55bo3bobbo41bo3boo
10bobobboboo15bobobboobbobo12bo4bo3bo$50boo50b3obo4bobo22boobo15boobb
oob3o6boboobboo27bo6b3obbo4bo$43bo4b3obbo58bo16b3o3boo3bo17b3obboo7boo
bbo23b3o5bobo5bobo4bobbo$29b3o11bobbobbo79bobb5o4bo12bobob3o13bo24boo
bbo4b4obo4bo$29bo13bobbo4bobobo74booboo3boo14bobo3bo18bobo19bobo5bo$
30bo12bobo9bo73b3o21bo6boboo16boo$32boo10bo3b3o101booboo3bo3bo15bo$33b
o11boo3b3o40boo45bo10boobo4boo3bo$42b6obb3o38boobbo26b3o4booboo5boo11b
o4bo3b5o17bobo$30boo3bo5boobbobbobbo39bo3bo26bobb3obboo7bobo10bo4bo6b
3o17boo27b3o$22b3o5boobbobo4bo6boboo72bo10bo28b3o17bo28bo$22bo6bobo3bo
bb3o3bo47bo3bo26boo5bo3b5o14b3o8boo48bo$23bo4boo6b3o4bo6boobo39b3o12bo
14boobboo4boboo17boo8boo21bobo26boo$25b4obo19boo49boo4bobobboo9boo3bo
5booboo14b3o32boo27bo3boo$26boo10bo11b3obo27b3o14boboo3bobbobboo10bo3b
o3b3o7b3o9boo8bo23bo31boo$38bobo10bobbo27bo13booboboo3bobo17b3ob3obo7b
o17booboo58boo$48boobbobboo28bo8boobo7bo18b3obbo6boboo5b5o9boo3bo26bob
o23b6o$48boo4boobboo22bobbo8bobo9boo16boo10boboo5boob3o10boboo27boo23b
obboobo$46boboobb3obbo25bobbo8bo34boo8b3obboo3bo15bo25bo11boo13bo4bo$
45b3o4boo4bo25bo44bo8boo6bo3b4o50bobo10bo6bo$45bobo9bobo26bobo41boo9b
oo3bobbobboo11b3o27bobo6bo11bo$57bo30boo56bobo3boo5boobboo31boo9bo7boo
3bo$50b3o36bo60bob3o4boboboobo29bo10boobboobobb3o$50bo6bobo28boo60bo8b
o3bo47bo5bo$51bobb3o30b3o60b4o45bobo9bobo3bo$53bobbo25boobooboo73bo36b
oo7boboo3bo$56bo25bo3boboo61b3o11bo34bo7booboo$45b3o34bob3obbo72boo29b
oo13bobbo$45bo9bo31boo72bo31bobo7bobo4bobo$46bobb6o31b3o71bobbobo27bo
10boo4bobboo$48bo61bo50boboo31bo7bo$49boo58bobo48bo35boo3bo7bo$85b3o
21bobo47b3o34boobbobo$85b3o25bo18boo63boboobbo$107b3o4bo17boo25boobbo
33boobob3o$84boo11b3o6bo7bo46bo35bobo3boo6boo$84bo12bo8booboo3bo82bo5b
o6bobo$98bo8bobo4bo68b3o17boo5boo$100boo7bob3o69bo12boo$101bo10bo71bo
10boboo$108b3o75b3o5bo4bo$98bo10bobo75b6oboo3bo17boo$95b4obo8boo79bo4b
o20bobo$95bo4bo9boo77bobo4boo18boo$96bo4boo7boo76b3o$98bobb3o5bo77bo$
102boo4boobbo75bobo$99booboo7boo76b5o29boo$100boboo3bobbo79boobo28bobo
$100bobo6boo111boo$101boo$134b3o37b3o37b3o$136bo39bo39bo$135bo16boo21b
o39bo13boo$152boo74bobo$144bo83boo$143boo152b3o117b3o$143bob5obo147bo
119bo$146bo3b4o144bo119bo$145bo3bo85boo$144b3o87bobo44bo$145bob4o83boo
44boo$138bo5boo3bobo61b3o64bobo$137b5oboobob3obb3o57bo68bo$137bo8b3o5b
oo51b3o6bo66bo$145boobbo57bo6bobbo23boo37boboo$137boboob5obboboo55bo6b
oboo22boo38bo$129booboo4bo5boobboo60boo3boboo$129bob3o77bo3bobo64boobo
$129bobboo3boo7boo3boo62boboo56b3o3boo3bo$136boo8boo4bo52b3o3boo6bo55b
obb5o4bo$133bo3boo9bo3b3o50bobboobbob3obo28boo27booboo3boo$133bo3b3o3b
oobbo4bobo51bobbobboobo30bobo26b3o$137bo5bo8bo55boobooboobo28boo$138b
oo3bobo9bo58bobbo68bo$150bobb3o57boobbo50b3o4booboo5boo$149b5o114bobb
3obboo7bobo$149bobbo100boo15bo10bo$151boo99bobo14boo5bo3b5o$152bobboo
95boo15boobboo4boboo$149bo4boo113boo3bo5booboo$150boboboo114bo3bo3b3o
7b3o$152boobobbo113b3ob3obo7bo$153bo4bo111b3obbo6boboo5b5o$158bo97boo
13boo9boboo5boob3o$153bobo4b3o93boo18boo8b3obboo3bo$155boobo116bo8boo
6bo3b4o21boo6boo$158bo117boo9boo3bobbobboo20boo4boobo$292bobo3boo10boo
9bobobboo$296bob3o9bobo8b3obboo$264boo30bo13bo4booboob3o$264boo30b4o
15bob3o$306boobo5bo$297b3o6bo3bo7bobbo$306bo3bo4bobbobbo$271boo28boob
oo4b3obbo$270bobo28bob3o5boobo$242b3o25boo29bo3bo5bo$242bo61bobbo$243b
o61bo3bo$245boo67bo$246bo3boo54boobo3boo$249boo57bobobbobo41bo$252boo
53bobooboo42b4o$246b6o48b3o3bobbo4bo40bo4bo$246bobboobo26boo19bo50bobb
4obbo$233boo13bo4bo24bobo22bo3b3o40b3obboo$233bobo10bo6bo25bo21bobbo4b
3o37boo3bobo$233bo11bo14boo40bobobobbobo36boo7boboo$236bo7boo3bo10boo
40bo3boboo37boo10boo$236boobboobobb3o53bobobb3o38boo12bo$240bo5bo5boo
bbo45bo3bo40bobo10b3o$240bobo3bo4boo5bo47bob3o37bo10bobobboo$238boboo
3bo6bobo3b4o49bo23b3o8boo12bo$237booboo10boob4o26boo19bo5bo18bo3bobboo
5b3obo$237bobbo11b3o4bobo23boo19bo10bo5b3obbob3o10bo5boo7b3o$239bobo
14bo48boo5bo3boo5bo3bo4bobbo5boo3bo3bobbo4b3o$239bobboo12b5o47boobobo
bbobo6bobbo3bobbooboboo4boobbo3b3o3boo$246boobobboobboobbobbo41bobobo
3bo8bobbobbo3boo3b3obobo10b4o3boo7boo$245boo3bob3o4b4obo30boo10b4o8boo
bo6booboo6bobbo7boo3boo5bo5bo$246bobbo3boo4boo33bobo11boo3bo5bo4bo3bo
5bo3bo4boo8b3o4booboo3bo3bo$246bobbobboo3b3o34boo13bobbo8boobo4bob4obb
oo14b3o6boboobooboo$246bo9bo52boboo5boo15boboo4bo18bo4boo$237b3o14bo4b
o50bobo5b6obo6bobobboo27boboo6boo$237bobb4obo8bo4boo60bob3o3boo35b3obo
4boo$238b3ob4obo53boo9b4obbo6booboo3bo5bobo21boobo3bo6bo$240b3obbobo6b
oobo4bo38boo6boo3b3o10b3o3bo6bo21boo4boboo3boo$254bo5boo47bobo6bo8bo3b
obbo26bobbobo4boobboo$247bo3b3o6bobbo24boo19bo3bobboboo12bo28bo6boobo
7bo$246boo3bo10bo25bobb3o18booboobo5boo35bobbo11bobbo$252bo8boo25bob5o
bo17bobobo5bobo36bo6boo8boo$258boo29bo6boo9boo3b3oboo6bo45bobboob3obob
o$257boo30bo5b3o8bobo6boo8boo43bobbo3bo$259bobo27bobbobbo10boo6b3o8bo
bbo37boobobobobo5b3o$259boo3bo27b4o19bob5o3bo39boo4bobo$259bo3boo17boo
bobbo7bobbo17boobbo5bobo5bo4b3o24boboobo$259bo3bobo16boboobboobo3bobbo
bo20bobo7bobbo4bo$259bo22boboo3bo5bobbobo21bo6bobboobboobo3bo28bo$263b
5o15bo4bo5boo16boo15bobbo6bo3bo28bobo$260booboobb3o13boo3bo3bobo17boo
16b3o40boo$268bo5boobbo4boo6bob3o32b3o9boo34bo$262bo3bobobooboo4bobboo
6b4o34boo12bo33bo$263bo11boobobb3o7boo3boo45bo$264boboo9boobbo9bobo48b
3ob3o$284bo6bobobboobo16boo24bo3boo$281bobbo3boo6boobo16boo25boo$282bo
4boo9bo$283bo5bo8bobo$294boobbobo$294bo$294bo29boo$296b3o25boo$296b6o$
296bo$296boo3bo12b3o$296boobbo13bo5boobo$297b3obb3o12b3o3bo6boo$299bo
4bobo7bo3b3o3bo5boo37boo$299b4obobo8bobo3bo47bobo$299b4obobo9boboo49bo
bo$302bo15bobb3o46b3o$308b3o3boob3o5boo43bobo$308bobb4o3bobbo3boo43b3o
$309boob3o55boo$308b3o4b3obb4o47bo$301bo14bo3bobo16boo24bo4b3o$300b6o
12bo3boo14bobo23b5o6bo$300bo7boo12boo15bo24bo6booboo$301bo6bo8boo$303b
obobbo8boo5bo39boboo$304bo4bo5boboo4b3o39bo$309boo3b3o6bobo32bo15boo$
309boo3bobo8boo30b5obboobo6bobo$324boo31bobboobb4o6bo$320b3o18boo16bob
o3boobbooboo$320bobbo16boo18bo11bo$322bo19bo14bobbob3o3bo$321boo3boo
16boo14bobboobbo4bo5bo$321boo3bobo14bo14b3obbo3bo9boo$321b3obbo32bobob
ob3oboo6bob5o$326bo17bobbo6boo3bo3b4o3bobboo5bo4bo$323boboob3o23boo3bo
bo3bo7bobbobbo5bo$325boo5bo11booboo16bo6bobboo10bo$324b3o6bo10boobbobo
13bo9bo6booboobbo$330bobo12b4o3bo12bo14boobboo3bo$326boboo6b3o7bobbob
3o28bobo$336bobb3obbo7boo30bobbobo$337boob4obo4boo32boo3bo$336b3o4bobo
bob3o33b3o$344bobbo3bo33bo$343bobbob5o34bo$336boo4bobo7bo34bo$334b3obo
3bo5bo$333booboobobbo7bo$333bo5boobbooboo$334bo12boboo$348booboo$332bo
4b4o7b3o$331b4o3bobo6boo4boo$331bo4bo6boo$329bobobbobo6bobobboboo3bo$
328b3obbo9bo5b3obobo$328bobb5obo8bo5bobbo$332bo3bo9bo5boo$332booboo7bo
bbo4bo$344boboobobbo$344bob3o3boo$331b3o11b4o3boo$329bo15boo6bo4bo$
323boo3boo3bo24b3o$323bo3bobobo13boo5b6o$323bobobobbo7boo3boboo5b3o$
320boo7boo7boboboo9booboo$319boo3bobb3o8bo4boo11boo$320bo3bobbobo11b3o
11b4o$320bo20b3o9boo$320bobboboo13bo3bo5boo3bo$317boobo6bo11booboboo4b
o3bo$317bo24bobbo4bo$316bobb3o17bobbobb3o3bobbo$316b3obbobo15bo5boo4bo
bboobo$310boo5boo22b3oboobbo4bobbo$309boo5boo23bob3obbo4bobbo$311bo4bo
25bo5bo$313boobboo18boo4bo4bo7bobo$313boo21boo6bo3bo6bobo$338bobbobbo
6bo3bobbo$340bobbo5b3obbobbo$340b3o$341boo9boo$331b3o4bobo10b3o$331bo
5bobo11b3o$332bo3bo14bo$328bo5booboo13boo$327boo4bo22boo$327bob4obo18b
ob3o$330bo3bo18bobboo$329bo26boobbo$328b3o3bo21bobbo$321boobo4b4o22boo
$321bo3bobboo26bobo$321bo4bob3o26boo$323bobo4bo26bobo$322bobo4bo27bobb
o$322b3o$316boo5boo29boo$315boo5boo29boo3bo$317bo4bo29booboobobboboboo
$319boobboo26boo7b5oboo$319boo24boo3boo9bo3b3o$344boo5bo$346bo4bo11boo
$348boobboo10bobo$348boobboo5boobbobbo$353bo4boobb3o$352boobo3boboboo$
353bobo3boobbo$353boboo3bob3o$354boobo5boo$353bo4bo$358bo$352boo3bo$
354bo!

So now period three, five, and seven multiplication reactions can all be done with single rakes as inputs, without any glider duplications needed, and without any modifications needed for the convoys.

EDIT: This is wrong. See the next post for a fix.

BCNU,
-dbell

[dbell]

Oops, the period tripling convoy I posted was incorrect! It works fine for the input rake it was shown with, but doesn't work for higher periods. There is an interaction between two of the reactions it uses (a backward glider hitting a block).

For a generic period multiplier to work, all of the reactions must be independent of each other. Pretty obvious, but I didn't notice at first. I thought there was something fishy about that backward glider, but didn't investigate it.

So I found an alternative reaction which doesn't have this problem.

Code: Select all

#C A diagonal c/4 period 240 sideways rake.
#C This uses a period 80 puffer which is period tripled by a
#C period 24 ship puffer, and whose debris is cleaned up using
#C period 4 eating spaceships.  Other rakes which have a period
#C which is a multiple of eight and not already a multiple of
#C three can be period tripled in the same manner.  This is a
#C fixed version of a previous period 240 rake.
#C David I. Bell, 2 February 2024
x = 394, y = 340
69b3o$69bo3boo$72bo$69bo$66boobo3bobo$65boo4bobo$66bo3boo$66boboo$60bo
5bo$59boo5bo$59bob3obb3o$48b3ob3o3bobo5boo$48bobbob3ob4o5boo$51boo4bob
oo14bo$45b4o22bobob3o$45bo5bo17boobo5bo$38boo8boboboo14boob8o$25b3o9b
oo6bo5b3obo13bo3b4o$25bo13bobboobo3bobbo13b3o$3o15b3o6bo13boobbo5bobob
3o8bobbo$obb4obbo8bo6bobo13b3obboo5bo7boobbo3bo$b3ob4obo8bo4boob4o22bo
boo3boobboo$3b3obbobboboo6b4ob5oboo5boo12bo7booboo3bo$10bobbo8boo7boob
o3bobboboo4boobooboo3boobboo$12boobo21boobobo6boob4o4bo4boo20boo$15bo
22boo6boo3bo4b3o6boo7boboo8boo$15b3o24bobb3o9bo7bo6boobboo9bobo$17bo
12bo7bobo11bo5bo11boo4booboo6boobo$17b3o4boo5boo4b6obboo22bo3boo13boob
o$19b6oboo5bo3bo6bobo5bo5boo8bo4bo5b3obboo3bobo$20boobboobobobbo3boo5b
o6b4o3bo4bo5bo5b8obboo$22boobboobo3boboo3bobo3b4obobbob5o9bo7boobobboo
$22boobb3ob5o3bobo11b3obbo4boo10bo3boo6bo$21boo9bobboo7b4o11bobobboobb
3obobboboo4bobo$13boo6bobbobo5bo3boo3boo3boo4bobboboboo3b3o3bobo9bobb
oo$13bobo4bo4bo13bo12bob3o4b3obbo9booboboobbo$13bo5boo10b3obo3boo15bo
bbo5bobo8bo3bobbo3bobo$16bo3boo10bobobboboo15bobobboobbobo12bo4bo3bo$
16boobboob3o6boboo3bo27bo6b3obbo4bo$19b3obboo7boobboobo20b3o5bobo5bobo
4bobbo$15bobob3o13bo3boo19boobbo4b4obo4bo$15bobo3bo17bo22bobo5bo$14bo
6boboo$13booboo3bo3bo16bobo$12boobo4boo3bo17boo$13bo4bo3b5o16bo30boo$
13bo4bo6b3o46bobo$25b3o18bobo25bo$14b3o8boo20boo28bo$15boo8boo20bo29b
oo3bo$14b3o60boobbobo5boo$15boo8bo24bobo25boboobbo4bobo$21booboo25boo
25boobob3o3bobo$20boo3bo25bo26bobo3boo4b3o$22boboo52bo5bo5bobo$27bo26b
obo7b3o17boo4b3o$55boo7bo12boo11boo$26b3o26bo9bo10boboo11bo$20boobboo
41b3o5bo4bo4bo4b3o$20boboboobo30bobo7b6oboo3bo3b5o6bo$20bo3bo34boo10bo
4bo7bo6booboo$59bo10bobo4boo$24bo44b3o12boboo$26bo35bobo3bo16bo$23boo
28boo8boo4bobo6bo15boo$22bo30bobo7bo6b5obb5obboobo6bobo$21bobbobo26bo
17boobobbobboobb4o6bo$22boboo31b3o6bobo10bobo3boobbooboo$21bo33boob4o
5boo11bo11bo$20b3o32b3o4bo4bo9bobbob3o3bo$51b3o5boobo17bobboobbo4bo5bo
$20boobbo26bobbo4b3o16b3obbo3bo9boo$22bo22b3o4boboobooboo6boo3boo4bobo
bob3oboo6bob5o$41boobbo9booboboobboobobbobboo4bo3b4o3bobboo5bo4bo$40b
oo4bo8boo5bo4bo11bobo3bo7bobbobbo5bo$41bobo4boob3o3bo3bo5bobo15bo6bobb
oo10bo$41b3o5booboobo3bobbo3boobo14bo9bo6booboobbo$41boo10bo5boo6bobo
15bo14boobboo3bo$43bobo5boboo4bo8bo33bobo$46bobo4boobbobbo43bobbobo98b
3o$45boo4b3obbo3bo43boo3bo98bo3boo$44boboboobobo3bo12bo34b3o103bo$48bo
bbo7boo8bobo33bo102bo$43boo13b3o8bobo35bo97boobo3bobo$42b3obbo6boobb3o
9bo36bo96boo4bobo$45boobo5bobo6boo140bo3boo$42bo3boboobobo6boboo141bob
oo$43bo7bo10bo136bo5bo$44boo7bo5bobboo134boo5bo$44bo4b4o5bo4bo134bob3o
bb3o$42b3o3booboo5bobb4o122b3ob3o3bobo5boo$42bo8boo5bobo3bo17boo103bo
bbob3ob4o5boo$42bobo7boboo8boo16boo106boo4boboo14bo$38boo4bo5boobboo7b
oo119b4o22bobob3o$37boo5bobo3bobboo9bo14boo103bo5bo17boobo5bo$39bo4b3o
bbobbobo9b3o11bobo96boo8boboboo14boob8o$41boo6boo3bo3b3obbo3bo10b3o83b
3o9boo6bo5b3obo13bo3b4o$41boo7bobo5bo3bo101bo13bobboobo3bobbo13b3o$50b
o3bo4bo79b3o15b3o6bo13boobbo5bobob3o8bobbo$49boobobo7booboo19bobo50bo
bb4obbo8bo6bobo13b3obboo5bo7boobbo3bo$46b3oboo11bo21bo54b3ob4obo8bo4b
oob4o22boboo3boobboo$45bo4bobbobo6boo21boo3bo51b3obbobboboo6b4ob5oboo
5boo12bo7booboo3bo$44boobobobbobo8boo18bo3bob3o57bobbo8boo7boobo3bobbo
boo4boobooboo3boobboo$43bo3bo3boo11bo18bo5bobbo58boobo21boobobo6boob4o
4bo4boo20boo$43bobo6bobobb3o4b3o16bo5bo3boo59bo22boo6boo3bo4b3o6boo7bo
boo8boo$46bobobo3bobbo5bo20bo9boo58b3o24bobb3o9bo7bo6boobboo9bobo$42b
ooboo4boo5bo4bo20b3obooboo3bo59bo12bo7bobo11bo5bo11boo4booboo6boobo$
42boo3bo3boo7boo24boo3b4obbo58b3o4boo5boo4b6obboo22bo3boo13boobo$43boo
boobbobobo6bo30booboboo59b6oboo5bo3bo6bobo5bo5boo8bo4bo5b3obboo3bobo$
43boo5bobobo6bo33boboo36bo23boobboobobobbo3boo5bo6b4o3bo4bo5bo5b8obboo
$43boobo5bo44bobo34boo25boobboobo3boboo3bobo3b4obobbob5o9bo7boobobboo$
46bo5b3o38boboboobbobo30bobo24boobb3ob5o3bobo11b3obbo4boo10bo3boo6bo$
41bo4bo5bo37bo4b3o3bobo32bo23boo9bobboo7b4o11bobobboobb3obobboboo4bobo
$40boo3boo5boo35bo3bobo41bo14boo6bobbobo5bo3boo3boo3boo4bobboboboo3b3o
3bobo9bobboo$40bobo3b5o39b3o6bobbo5bo25boboo14bobo4bo4bo13bo12bob3o4b
3obbo9booboboobbo$44boo3boo40bo15boo26bo16bo5boo10b3obo3boo15bobbo5bob
o8bo3bobbo3bobo$43bo6bo47bobbo5boboboo42bo3boo10bobobboboo15bobobboobb
obo12bo4bo3bo$50boo47boo5boboboo24boobo15boobboob3o6boboo3bo27bo6b3obb
o4bo$43bo4b3obbo53boobb3o15b3o3boo3bo17b3obboo7boobboobo20b3o5bobo5bob
o4bobbo$29b3o11bobbobbo57bo4bo4boo10bobb5o4bo12bobob3o13bo3boo19boobbo
4b4obo4bo$29bo13bobbo4bobobo59b3obo10booboo3boo14bobo3bo17bo22bobo5bo$
30bo12bobo9bo53bo19b3o21bo6boboo$32boo10bo3b3o54boo3bo4b3o34booboo3bo
3bo16bobo$33bo11boo3b3o52bo4bo5bo23bo10boobo4boo3bo17boo$42b6obb3o53b
4o12b3o4booboo5boo11bo4bo3b5o16bo$30boo3bo5boobbobbobbo70bobb3obboo7bo
bo10bo4bo6b3o46b3o$22b3o5boobbobo4bo6boboo72bo10bo28b3o18bobo25bo$22bo
6bobo3bobb3o3bo73bo4boo5bo3b5o14b3o8boo20boo26bo$23bo4boo6b3o4bo6boobo
64bo4boobboo4boboo17boo8boo20bo29boo$25b4obo19boo71boo3bo5booboo14b3o
61bo3boo$26boo10bo11b3obo27b3o39bo3bo3b3o7b3o9boo8bo24bobo28boo$38bobo
10bobbo27bo43b3ob3obo7bo17booboo25boo31boo$48boobbobboo28bo38b3obbo6bo
boo5b5o9boo3bo25bo26b6o$48boo4boobboo22bobbo12boo25boo9boboo5boob3o10b
oboo52bobboobo$46boboobb3obbo25bobbo43boo8b3obboo3bo15bo26bobo8boo13bo
4bo$45b3o4boo4bo25bo44bo8boo6bo3b4o40boo8bobo10bo6bo$45bobo9bobo26bobo
30boo9boo9boo3bobbobboo11b3o26bo9bo11bo$57bo30boo29boo25bobo3boo5boobb
oo42bo7boo3bo$50b3o36bo8bo3bobo45bob3o4boboboobo30bobo7boobboobobb3o$
50bo6bobo28boo7bobo50bo8bo3bo34boo11bo5bo$51bobb3o30b3o6bobbobo48b4o
44bo12bobo3bo$53bobbo25boobooboo5booboobooboo57bo45boboo3bo$56bo25bo3b
oboo11boo48b3o11bo35bobo4booboo$45b3o34bob3obbo7bo4bobbo56boo29boo7boo
4bobbo$45bo9bo31boo14boo56bo31bobo6bo7bobo$46bobb6o31b3o71bobbobo27bo
16bobboo$48bo112boboo31bo8bobo$49boo109bo35boo3bo4boo$85b3o71b3o34boo
bbobo3bo$85b3o109boboobbo5boo$159boobbo33boobob3o3bobbo$84boo11b3o61bo
35bobo3boo3bobbo$84bo12bo19bobo77bo5bo5boo$98bo18bobo63b3o17boo$100boo
13boo66bo12boo$101bo13booboo64bo10boboo$114bo24boo45b3o5bo4bo16boo$98b
o15boo3bo19boo46b6oboo3bo15bobo$95b4obo12boo75bo4bo19boo$95bo4bo12boo
3bo70bobo4boo$96bo4boo10boobb3o68b3o$98bobb3o11b6o66bo$102boo11boobboo
bb3o62bobo31boo$99booboo12boo4bo66b5o27bobo$100boboo16b3obbo64boobo27b
oo$100bobo16b6o$101boo16b3o$148b3o37b3o$150bo39bo37boo$149bo39bo38boo
$$144bo$143boo126b3o117b3o$143bob5obo121bo119bo$146bo3b4o80boo36bo119b
o$145bo3bo83bobo$144b3o60b3o23boo46bo$145bob4o56bobb3o67boo$138bo5boo
3bobo56bobo69bobo$137b5oboobob3obb3o57bo68bo$137bo8b3o5boo55bo28boo41b
o$145boobbo63bobo23bobo38boboo$137boboob5obboboo53boobo6bo22boo40bo$
129booboo4bo5boobboo55boo3bobbobbo$129bob3o65b3o4bobbobbo3bo65boobo$
129bobboo3boo7boo3boo46bo6bobbobbo3bo58b3o3boo3bo$136boo8boo4bo49bo3bo
6bobo59bobb5o4bo$133bo3boo9bo3b3o44bobbo8boo30boo31booboo3boo$133bo3b
3o3boobbo4bobo45bobbo6b3o30boo30b3o$137bo5bo8bo48bo5bo3bo$138boo3bobo
9bo47boboboobo75bo$150bobb3o49boo61b3o4booboo5boo$149b5o55bo58bobb3obb
oo7bobo$149bobbo117bo10bo$151boo53bobbo25boo32boo5bo3b5o$152bobboo77b
oo33boobboo4boboo$149bo4boo80bo32boo3bo5booboo$150boboboo82boo30bo3bo
3b3o7b3o$152boobobbo78bo5bo14boo12b3ob3obo7bo$153bo4bo82boobo12bobo10b
3obbo6boboo5b5o$158bo83bo3bo10boo12boo9boboo5boob3o$153bobo4b3o75boobb
3o31boo8b3obboo3bo$155boobo79boobo33bo8boo6bo3b4o21boo6boo$158bo67bo
13bo3bo31boo9boo3bobbobboo20boo4boobo$225boo11boo5boo45bobo3boo10boo9b
obobboo$225bobo10b3o55bob3o9bobo8b3obboo$229bo7boboo12boo41bo13bo4boob
oob3o$228bo3booboobobbo11boo41b4o15bob3o$228bo3boob3o6boo20boo38boobo
5bo$234boboo6bobb3o15bobo29b3o6bo3bo7bobbo$230bobbo4bo5bob5obo13bo39bo
3bo4bobbobbo$230b3o12bo6boo47booboo4b3obbo$229bobbo12bo5b3o47bob3o5boo
bo$230bobobo10bobbobbo49bo3bo5bo$235bo12b4o52bobbo$231bo3bobboobobbo7b
obbo49bo3bo$238boboobboobo3bobbobo57bo$238boboo3bo5bobbobo49boobo3boo$
239bo4bo5boo22boo32bobobbobo41bo$239boo3bo3bobo23boo31bobooboo42b4o$
230boobbo4boo6bob3o48b3o3bobbo4bo40bo4bo$229boo4bobboo6b4o50bo50bobb4o
bbo$231boobobb3o7boo3boo28boo19bo3b3o40b3obboo$233boobbo9bobo31bobo17b
obbo4b3o37boo3bobo$240bo6bobobboobo25boo19bobobobbobo36boo7boboo$237bo
bbo3boo6boobo46bo3boboo37boo10boo$238bo4boo9bo47bobobb3o38boo12bo$239b
o5bo8bobo45bo3bo40bobo10b3o$250boobbobo31boo16bob3o37bo10bobobboo$250b
o37boo21bo23b3o8boo12bo$250bo25bo29bo5bo18bo3bobboo5b3obo$252b3o20boo
29bo10bo5b3obbob3o10bo5boo7b3o$252b6o17bob5obo21boo5bo3boo5bo3bo4bobbo
5boo3bo3bobbo4b3o$252bo25bo3b4o22boobobobbobo6bobbo3bobbooboboo4boobbo
3b3o3boo$252boo3bo19bo3bo12boo9bobobo3bo8bobbobbo3boo3b3obobo10b4o3boo
7boo$252boobbo19b3o14bobo11b4o8boobo6booboo6bobbo7boo3boo5bo5bo$253b3o
bb3o16bob4o10boo13boo3bo5bo4bo3bo5bo3bo4boo8b3o4booboo3bo3bo$255bo4bob
o7bo5boo3bobo25bobbo8boobo4bob4obboo14b3o6boboobooboo$255b4obobo6b5ob
oobob3obb3o21boboo5boo15boboo4bo18bo4boo$255b4obobo6bo8b3o5boo22bobo5b
6obo6bobobboo27boboo6boo$258bo18boobbo18boo19bob3o3boo35b3obo4boo$269b
oboob5obboboo14bobo10b4obbo6booboo3bo5bobo21boobo3bo6bo$261booboo4bo5b
oobboo17boo8boo3b3o10b3o3bo6bo21boo4boboo3boo$261bob3o43bobo6bo8bo3bo
bbo26bobbobo4boobboo$261bobboo3boo7boo3boo24bo3bobboboo12bo28bo6boobo
7bo$268boo8boo4bo27booboobo5boo35bobbo11bobbo$265bo3boo9bo3b3o27bobobo
5bobo36bo6boo8boo$265bo3b3o3boobbo4bobo25b3oboo6bo45bobboob3obobo$269b
o5bo8bo30boo8boo43bobbo3bo$270boo3bobo9bo26b3o8bobbo37boobobobobo5b3o$
282bobb3o27bob5o3bo39boo4bobo$281b5o15b3o13boobbo5bobo5bo4b3o24boboobo
$281bobbo16bo19bobo7bobbo4bo$283boo17bo19bo6bobboobboobo3bo28bo$284bo
bboo15boo23bobbo6bo3bo28bobo$281bo4boo17bo24b3o19bo20boo$282boboboo40b
3o9boo9boo23bo$284boobobbo37boo12bo8bobo22bo$285bo4bo14b5o33bo9bo$290b
o14b6o6boo23b3ob3o5bo$285bobo4b3o22boo23bo3boo3boboo$287boobo7bo6bo3bo
boboo28boo7bo$290bo6b5o5bobobbo$297bo6b3o7bo38boobo$304boboobbo35b3o3b
oo3bo$297boboobobobobboobbo32bobb5o4bo$298bo5b3obo38booboo3boo$304b3ob
4obo32b3o$297boo4bo4boobobo12boo$294boo3bobboo22boo29bo$294bobboob4o4b
o30b3o4booboo5boo$294bobobb3obbobb5o27bobb3obboo7bobo$307boob3o28bo10b
o$299boo7bo3bo27boo5bo3b5o$292boo4boobo9b4o25boobboo4boboo$292bobo4bob
o6boo30boo3bo5booboo$292bobbobbo5boobb3o4bo25bo3bo3b3o7b3o$289booboobb
o6boo7boobo27b3ob3obo7bo$289bo7bo7bo4bo5boo23b3obbo6boboo5b5o$289boboo
bb3o13bo30boo9boboo5boob3o$298bo7b3o3b3o32boo8b3obboo3bo$293booboo10b
oobboo32bo8boo6bo3b4o$304boo6boo33boo9boo3bobbobboo$293bo11bo4bobo50bo
bo3boo$293bo11bo3bo5bo51bob3o$289b3obbo11bo6boo4bo47bo$284boo4bo22bobb
ooboo46b4o$283boobboobo14b3o5bobb5o$283bobobo4bo6boobbooboo60b3o$280b
3obboboobbo6boo3bobbo6boboboo$280bo7bo11bo4bo9bo$281boo5bobo11bo12boo
bbo$280b3obb3o13bo3bo9bobbo$281boo4bo12boo3boo4boobobo$278b3o6bo12boo
3boo3boo$277boo3bo17boobo7boo$277bobb4o21bobbobboobboo$277bo4boo17boob
o6bobb4o$270b3o28boobo3bo5boobbo$270bo6bobo22bo3b5o$271bo4boobo23bo4b
3o7bo$273b4obo18b3o4bo3b3o6boo$274boo21bo6boo10boboo$298bo5boo4bobobb
ooboo$300boobbo6boo$301bobbo6b4o$293bo6bobbo8bobo$292boo5b4o12bo$292bo
bo3b3o10bobbo$296boo14bo$288boo4b5o14bo$288bobb4obo16b4obo$288bob4obo
19boobbo$289bo4bo20bo3bo$289bo26bobbo$289bo$282boo8bo23boo$281boo3bobo
27boobo$283bob5obo25bobbo$283b4obbobo25boobo$283bobbo32bo$283bobbo$
276b3o35b3o$276bo6bobo27bo3boo$277bo4boobo26bo3bobob3obob3o$279b4obo
26bobbo6bobbo$280boo23b3o3bo9boob3obo$305bo6boo11b3o$306bo4boo11b3o$
308b5obo10bo$309boo4bo3b3obo$319bobbo3bo$313boo7bo$314bobo3bo$314bo5b
4o$314bobobo4bobo$315bobboo$313boo3boo$314bo$314bo!

To show that it works at higher periods, here are all three of my prime period multipliers in series.

Code: Select all

#C A diagonal c/4 period 24360 (7 * 5 * 3 * 232) sideways rake.
#C This uses a period 232 sideways rake, a sevenfold multiplication
#C convoy, a fivefold multiplication convoy, and a threefold
#C multiplication convoy in series.
#C David I. Bell, 2 February 2024
x = 871, y = 358
77boo$77bobo$77bo$80bo$80boo$76boobboo$76bobboo$76bob3o$77bobbo$76bo$
74b3o$73boo$72boob5o$71boo$58b3o9boo3bo$58bo11bobobo$59bo5b3oboobo$61b
oobbobbo3bo$62bo4bo4bo$52bo13boo4bo15b3o$41b3o7boo11b5o19bo$28bo12bo9b
ob5oboboboobo22bo$27boo13bo3boo4bob3obb3obbo26boo$27bobo14boob3o6boo
32boo$34b3obo6boboob6obobbo4bo$30boobboobb3obb3obo4boo4bo5boo23bo$30b
oobboo3b4o4bobob3o3bo6bobo20bo4bo$31boo6bo4boboo9bo16b3o9b3obobo$31b4o
bo3bo3boboo3bo17boo3bobb3o5booboo$30boboboobo7b3o3bob3o12bobbo6boo4boo
$29boo8boobbo3bo5boobboob3o4bo3bo11boo$29bobobb3o4boo3b3o8boo5b6obbobo
9boo$28bo17boo12boobo4bo10bo3boo$29boo8bobbo8boo19boo3boo3b3o$35booboo
bbo8bobo13bo4bobbobbobbo$35bobo13bo12b3o9b3o3bobo4boo$34bobboobbo3boo
5bobo10bobo6b3o7boo3bobo$34b3o7boo4bo35boo$34booboobo5bobbo4b3o27bob4o
$35bo12boo12bo22boobbo$35bo3bo8boo6boboboobo$35bo3bo9bo8bobbobo$36boob
o8boo10boo$36bo7b4obobbo628b3o$37bo5boobobobo7boo621bo3boo$37bo7bo4b3o
5boo5boo617bo$34boo3bo20bo3boo615bo$34bobobboo9bo9boo3bo612boobo3bobo$
34bo24bo4boo611boo4bobo$39b3o6boo10bo617bo3boo$39b3o6bobboo6bo618boboo
$38bo8bob3o8bobbo608bo5bo$39bobobbobboo12bo609boo5bo$40boo4bo624bob3o
bb3o$41b3o4boo136boo86boo384b3ob3o3bobo5boo$44boo4bo15boo118bobbo84bo
bbo382bobbob3ob4o5boo$50boo13boo119bob3o83bob3o384boo4boboo14bo$40bo5b
oobboboo6boo4bobo121bo87bo378b4o22bobob3o$31boo6boo3boobboboo7boo5boob
o113boboo3bo80boboo3bo378bo5bo17boobo5bo$31bobo5bobobbobobb3o9bo5bobo
112b5obobo79b5obobo371boo8boboboo14boob8o$31bo11bobbo16boobbobo112bobb
o84bobbo363b3o9boo6bo5b3obo13bo3b4o$35b3o5bo3boo14b4obbo113bobbobbo81b
obbobbo359bo13bobboobo3bobbo13b3o$33boob4o11bo13boobboo113bobo85bobo
337b3o15b3o6bo13boobbo5bobob3o8bobbo$33b3o4bo3bo13boo6bo4bo104boo3bobb
o79boo3bobbo339bobb4obbo8bo6bobo13b3obboo5bo7boobbo3bo$29b3o5boobo5b3o
8boo3b3oboo3bo103boobbobobbo78boobbobobbo340b3ob4obo8bo4boob4o22boboo
3boobboo$29bobbo4b3o19bob4obbobo95booboo5bobb5o70booboo5bobb5o344b3obb
obboboo6b4ob5oboo5boo12bo7booboo3bo$23b3o4boboobooboo10boo15bo97bob3ob
ooboo3bobbobo68bob3obooboo3bobbobo349bobbo8boo7boobo3bobboboo4booboob
oo3boobboo$19boobbo9booboboo3boo4bobbo8bo3bobbobo94bo9bobbo4bo69bo9bo
bbo4bo291boo59boobo21boobobo6boob4o4bo4boo20boo$18boo4bo8boo5bobb3o3bo
bo9bo3bo4bo91boobobboboobbo13boboo58boobobboboobbo13boboo282boo63bo22b
oo6boo3bo4b3o6boo7boboo8boo$19bobo4boob3o3bo3bo10bo15bo95bo3bo19b3oboo
boo55bo3bo19b3obooboo281bo62b3o24bobb3o9bo7bo6boobboo9bobo$19b3o5boob
oobo3bobbo114bo6bob3o18boobbobboobo47bo6bob3o18boobbobboobo247boo26boo
68bo12bo7bobo11bo5bo11boo4booboo6boobo$19boo10bo5boo103boo10boo9bo3b3o
13bo44boo10boo9bo3b3o13bo257bobo24boo5b3o61b3o4boo5boo4b6obboo22bo3boo
13boobo$21bobo5boboo4bo104bobo9bobobb4o3b3ob3o14bo42bobo9bobobb4o3b3ob
3o14bo248boo5bo28bobbooboo63b6oboo5bo3bo6bobo5bo5boo8bo4bo5b3obboo3bob
o$24bobo4boobbobbo78booboo13boo5bo15b3oboobboobbobo9b3o20booboo13boo5b
o15b3oboobboobbobo9b3o251bobo3boobbo27bo69boobboobobobbo3boo5bo6b4o3bo
4bo5bo5b8obboo$23boo4b3obbo3bo49b3o26bob3o13bobo3boobbo11bobbobo7b4o4b
obbo4bo18bob3o13bobo3boobbo11bobbobo7b4o4bobbo4bo249bo11bo24booboo68b
oobboobo3boboo3bobo3b4obobbob5o9bo7boobobboo$22boboboobobo3bo27boo23bo
bb3o23bobboo3boo8bo11bo29boobbobbo20bobboo3boo8bo11bo29boobbobbo254bo
3boo3b3o23bo71boobb3ob5o3bobo11b3obbo4boo10bo3boo6bo$26bobbo7boo24boo
24bobo32booboboo7bo3boo3b3o6bobbo9b3o5boboobboo27booboboo7bo3boo3b3o6b
obbo9b3o5boboobboo254boo4boo4bo19b3o71boo9bobboo7b4o11bobobboobb3obobb
oboo4bobo$21boo13b3o55bo26bo5boboo7boo4boo4bo4boo3bo8b3o7boo28bo5boboo
7boo4boo4bo4boo3bo8b3o7boo264b7o19bobbo62boo6bobbobo5bo3boo3boo3boo4bo
bboboboo3b3o3bobo9bobboo$20b3obbo6boobb3o53bo28bo5bo3bo12b7o3boo4bo4b
3o8booboo23bo4bo5bo3bo12b7o3boo4bo4b3o8booboo23bo241b4o9bo10bobbo63bob
o4bo4bo13bo12bob3o4b3obbo9booboboobbo$23boobo5bobo6boo51bobo32bo15b4o
4bo6boobbo4boo4b6o12bo9boo12bo15b4o4bo6boobbo4boo4b6o12bo9boo253boo4bo
4boo66bo5boo10b3obo3boo15bobbo5bobo8bo3bobbo3bobo$20bo3boboobobo6boboo
18boo25boobo6bo33bobo20bobobobbobbobb11o4bo7boobo9bobo13bobo20bobobobb
obbobb11o4bo7boobo9bobo239b3obbo7bobobb4obboo69bo3boo10bobobboboo15bob
obboobbobo12bo4bo3bo$21bo7bo10bo14boo4boo23boo3bobbobbo35bo23boo5bo3b
4obo8bo4boobo4bo25bo23boo5bo3b4obo8bo4boobo4bo248booboo14bobboobo70boo
bboob3o6boboo3bo27bo6b3obbo4bo$22boo7bo5bobboo12boo6boobo14b3o4bobbobb
o3bo35bobo6bo5boo4boobo4bobo21bo5b4o9bobo13bobo6bo5boo4boobo4bobo21bo
5b4o9bobo238boboboo9bobobo3bo73b3obboo7boobboobo20b3o5bobo5bobo4bobbo$
22bo4b4o5bo4bo13b3o4b3obbo12bo6bobbobbo3bo40b3ob3obboo5bo6b4o10boo8bo
3bo5bo7booboo18b3ob3obboo5bo6b4o10boo8bo3bo5bo7booboo60boo181bobbo5b6o
73bobob3o13bo3boo19boobbo4b4obo4bo$20b3o3booboo5bobb4o13boo3bobbo3bo
14bo3bo6bobo38bob4ob3o3bo4boboo3bo5bobboo3boo9bo3bo5bobbob6o17bob4ob3o
3bo4boboo3bo5bobboo3boo9bo3bo5bobbob6o61boo183b3o5boboo75bobo3bo17bo
22bobo5bo$20bo8boo5bobo3bo21boobo12bobbo8boo51bo3boobobboo3boboo3boboo
bboob4o5boo3boo6b3obboo28bo3boobobboo3boboo3boboobboob4o5boo3boo6b3obb
oo64bo152b3o27bo85bo6boboo$20bobo7boboo8boo21b3o5bo7bobbo6b3o51boob3ob
obo4bo3boobbobo11bo5bo3boboo3b3obboo28boob3obobo4bo3boobbobo11bo5bo3bo
boo3b3obboo31boo26boo156bo8bo28boo75booboo3bo3bo16bobo$16boo4bo5boobb
oo7boo23bo6bo8bo5bo3bo49b6o3bobboobboo3boo4bo4boo5bo4b3o5b4o3bobo26b6o
3bobboobboo3boo4bo4boo5bo4b3o5b4o3bobo32bobo24boo5b3o150bo6boo20boo6b
oo74boobo4boo3bo17boo$15boo5bobo3bobboo9bo30bo10boboboobo45b3obb3oboo
3bo3bobo5bo5bo6bobo3b3obo8b7o23b3obb3oboo3bo3bobo5bo5bo6bobo3b3obo8b7o
27boo5bo28bobbooboo152bo3boobobb3o14boo4boobo75bo4bo3b5o16bo$17bo4b3o
bbobbobo9b3o41boo41b3o4bobboboo12bobo5bo5bo3bo6bobb5o5bobbo6bo13b3o4bo
bboboo12bobo5bo5bo3bo6bobb5o5bobbo6bo25bobo3boobbo27bo150boo4booboobbo
3bo3bo13booboob3obo10bo11boo49bo4bo6b3o46b3o$19boo6boo3bo3b3obbo3bo23b
3o3b3o12bo38bo6bobbo8bobobbobo14bobboo3b3oboboo7b4o7bo12bo6bobbo8bobo
bbobo14bobboo3b3oboboo7b4o7bo24bo11bo24booboo146boo5bo6boo4bobo15bobob
oo6b3o3boo11bobo60b3o18bobo25bo$19boo7bobo5bo3bo89bo4boobo9bob3obo18bo
bb3oboobbo7bo6bo4bo13bo4boobo9bob3obo18bobb3oboobbo7bo6bo4bo27bo3boo3b
3o23bo151bo4boo4b4oboo19b3obo6bo5bobo10bo51b3o8boo20boo26bo$28bo3bo4bo
35bo13bobbo41b4o4boo6bobboboo25bobobbo15bobbo15b4o4boo6bobboboo25bobo
bbo15bobbo27boo4boo4bo19b3o154boo4boo4bobo3bo15b3o5bo4bo16boobbo49boo
8boo20bo29boo$27boobobo7booboo28bo61bo3boobo9bo25bobo8b3obobobbobboo
20bo3boobo9bo25bobo8b3obobobbobboo35b7o19bobbo153boo16bobo3b3o8booboob
o7boo4boo13bo46b3o61bo3boo$24b3oboo11bo31bo38b3o18b3o3boo9boobobbo20b
5obb8obo3bo23b3o3boo9boobobbo20b5obb8obo3bo41b4o9bo10bobbo169boo3bobbo
15bo8boo5boo8boo3b3o45boo8bo24bobo28boo$23bo4bobbobo6boo23boo45bo22bo
3bo17boo18bo3bo7bo6bo26bo3bo17boo18bo3bo7bo6bo54boo4bo4boo177bo5bo5bo
4boo22b3o3boo4bo50booboo25boo31boo$22boobobobbobo8boo22boo46bo16b3obb
ooboo16boo28boo30b3obbooboo16boo28boo50b3obbo7bobobb4obboo178bo9boo3b
oo9bo5boo6bo5b7o49boo3bo25bo26b6o$21bo3bo3boo11bo38bo30b3o15booboobb3o
78booboobb3o97booboo14bobboobo181b3o5bobo9booboo4bobboo3boboo4b4o53bob
oo52bobboobo$21bobo6bobobb3o4b3o35bobo29b3oboo11bobo9bo18bo56bobo9bo
18bo78boboboo9bobobo3bo187boo4b5oboo3bo3bob3oboboo70bo26bobo8boo13bo4b
o$24bobobo3bobbo5bo37bobbo46boob3o5boo19boo54boob3o5boo19boo81bobbo5b
6o180bo6b3oboobbobobbobobo5bobobboo103boo8bobo10bo6bo$20booboo4boo5bo
4bo38boo51bo4boboo18boo59bo4boboo18boo83b3o5boboo181b5o3bo7b3o5bobbo3b
oo3bo75b3o26bo9bo11bo$20boo3bo3boo7boo75bo15bo8boo77bo8boo103bo192bobb
oo3b9oboobboboo5boobo11bo59boobboo42bo7boo3bo$21booboobbobobo6bo68boob
obb5o12boo7boo22bo28boo24boo7boo22bo28boo58boo185boobo4b5o4bobbobbo4b
3o3bobo6boo11bob3o43boboboobo30bobo7boobboobobb3o$21boo5bobobo6bo67boo
3boboboobo11bobo7bo23boo26bobo23bobo7bo23boo26bobo49boo6boo203bo4bo3bo
bo5bobo5bobo7boobo4boo41bo3bo34boo11bo5bo$21boobo5bo77bobbo5bobo12b3o
6bobo20boo27bo26b3o6bobo20boo27bo51boo4boobo188bobo17bo10bobobo14bobb
6o81bo12bobo3bo$24bo5b3o75bobbo20b3o61bo23b3o61bo49booboob3obo10bo11b
oo172boo12bo5boobboo7boo5bo54bo45boboo3bo$19bo4bo5bo77bo23bo5bobo27bo
27boo3bo18bo5bobo27bo27boo3bo46boboboo6b3o3boo11bobo163b3o4boo10boobo
5boobbob3o9boo57bo35bobo4booboo$18boo3boo5boo79bo25booboobo25boo25boo
bbobo22booboobo25boo25boobbobo46b3obo6bo5bobo10bo166b3o3bobo12bobbobb
oo3boboobooboboboo55boo29boo7boo4bobbo$18bobo3b5o72boo5bobbo5b3o17bob
oo3bo23boo27boboobbo21boboo3bo23boo27boboobbo44b3o5bo4bo16boobbo160b6o
4boo14bo8bo4boo3boboboo52bo31bobo6bo7bobo$22boo3boo71boo3boboobboo4bo
24boo53boobob3o25boo53boobob3o44booboobo7boo4boo13bo167boo22boo4bo3b4o
55bobbobo27bo16bobboo$21bo6bo73bob4obb3o6bo23boo27bo24bobo3boo26boo27b
o24bobo3boo33boo13bo8boo5boo8boo3b3o159bo29b3o3bo63boboo31bo8bobo$28b
oo43boobo25boobobb4obboo26boo29boo22bo5bo26boo29boo22bo5bo34bobo5bo4b
oo22b3o3boo4bo158bo29boo6boobb3o54bo35boo3bo4boo$21bo4b3obbo41bo3bo24b
o3bobbo4boobo23b3obo26boo9b3o17boo24b3obo26boo9b3o17boo26boo5bo6boo3b
oo9bo5boo6bo5b7o151b3o4bo97b3o34boobbobo3bo$7b3o11bobbobbo45bo4bo23bo
3boboobbo3bo19b3obbo41bo12boo26b3obbo41bo12boo33bobo3boobbo3bobo9boob
oo4bobboo3boboo4b4o153bo142boboobbo$7bo13bobbo4bobobo41boo25bobob3ob3o
8boobbo10bo39bo7bo10boboo25bo39bo7bo10boboo32bo11boo4b5oboo3bo3bob3obo
boo166bobb3o98boobbo33boobob3o$8bo12bobo9bo43bobo23bobbobo11boo4bo10bo
3boo34boo7b3o5bo4bo25bo3boo34boo7b3o5bo4bo34bo3boo3boobbobobbobobo5bob
obboo173bo3b3o97bo35bobo3boo$10boo10bo3b3o73boo3bo3bobbo6bobo17bo34boo
9b6oboo3bo29bo34boo9b6oboo3bo34boo4boo5b3o5bobbo3boo3bo175bob4o10boo
121bo5bo8boo$11bo11boo3b3o48boo22bo7bobb5obb4oboo13bo48bo4bo33bo48bo4b
o44b8oboobboboo5boobo11bo167boo12boo4boo101b3o17boo6bobo$20b6obb3o49bo
bbo19bo4bo7bo3boo5boobo9boo38bo8bobo4boo30boo38bo8bobo4boo43b5o4bobbo
bbo4b3o3bobo6boo11bob3o149boobo18boo101bo12boo13boo$8boo3bo5boobbobbo
bbo59boo17boo6boobbo4boo12bo41boo5b3o36bo41boo5b3o53bo6bo4bo3bobo5bobo
5bobo7boobo4boo148bo124bo10boboo$3o5boobbobo4bo6boboo49boobbo5boo17boo
9boo3b4obboo6booboo37boo5bo38booboo37boo5bo56bo11bo10bobobo14bobb6o
149bo126b3o5bo4bo$o6bobo3bobb3o3bo56bo44bo6bo56bobo85bobo53bo15bo5boo
bboo7boo5bo157boo126b6oboo3bo$bo4boo6b3o4bo6boobo62boo41bo4bo41bo4b5o
31bo4bo41bo4b5o53bo9boobo5boobbob3o9boo160bo128bo4bo22boo$3b4obo19boo
50b3o10bobboo29b3oboo4bo47boo3boobo31bo47boo3boobo52bobo11bobbobboo3bo
boobooboboboo154boo133bobo4boo19bobo$4boo10bo11b3obo61bo4bo37boboo43b
oo39boboo43boo61bo14bo8bo4boo3boboboo151boo4booboo124b3o26boo$16bobo
10bobbo43bo4boo12bo4bo29bo6bobo49bo35bobo49bo79boo4bo3b4o157bobbo128bo
$26boobbobboo40boo20boobo29bo7boo49boo35boo49boo78b3o3bo193boo102bobo$
26boo4boobboo37bobobboo17bo30bo148b3o75boo6boobb3o157boobbo23boo4boo
97b5o$24boboobb3obbo43b3o106boo86boobboo249bo31boo98boobo30boo$23b3o4b
oo4bo41bobbo260bo353bobo$23bobo9bobo35boo266bobo352boo$35bo37bobobboo
31b3o55b3o113b3o54bo$28b3o42bobboboo33bo57bo115bo$28bo6bobo39boo33bo
57bo115bo$29bobb3o37bo3b3o624boo$31bobbo29boo5boo3boo450bo81bo91bobo$
34bo28boo5bo278bo177boo38boo40boo91boo164b3o$23b3o39bo4bobo275bobo176b
obo37boo4boo34bobo258bo$23bo9bo33boobbo277bo179bo43boo36bo257bo$24bobb
6o34boo17boobo9boo429bo81bo$26bo59bo3bo8boo426boboo78boboo67b3o26boo
43bo$27boo57bo4bo243boo191bo81bo69bobb3o22bobo42boo$88boo244boo345bobo
24boo43bobo$90bobo7boo227boo4bobo18bo172boobo78boobo71bo68bo$98bo4bo
224boo5boobo16bobo164b3o3boo3bo27boo41b3o3boo3bo68bo71bo$85bo6boo4bo
231bo5bobo17bo165bobb5o4bo26bobb3o37bobb5o4bo69bobo64boboo$84b5o4bobbo
bo5bobboo223boobbobo184booboo3boo28bob5obo7boo26booboo3boo64boobo6bo
25boo37bo$78boo4bo6boo7bobbobboo224b4obbo183b3o37bo6boo6boo4boo19b3o
71boo3bobbobbo24bobo$78bobo11bo9bo4bobo224boobboo222bo5b3o12boo87b3o4b
obbobbo3bo24boo39boobo$78bo5boboo6bobo9b3o218boo6bo4bo192bo28bobbobbo
46bo56bo6bobbobbo3bo58b3o3boo3bo$79boo4bo4bobo11b3o219boo3b3oboo3bo22b
o45boo104b3o4booboo5boo31b4o28b3o4booboo5boo59bo3bo6bobo59bobb5o4bo$
79bobbo6b3o236bob4obbobo23bobo43boobo103bobb3obboo7bobo20boobobbo7bobb
o24bobb3obboo7bobo55bobbo8boo63booboo3boo$79bo6booboo13b3o229bo26bo45b
o107bo10bo26boboobboobo3bobbobo25bo10bo62bobbo6b3o35boo25b3o$81bobobo
bbo16bo224bo3bobbobo69bobbo103boo5bo3b5o23boboo3bo5bobbobo24boo5bo3b5o
60bo5bo3bo35bobo$330bo3bo4bo69bo3bo102boobboo4boboo26bo4bo5boo29boobb
oo4boboo64boboboobo36boo37bo$83bo4bo246bo73bobbo103boo3bo5booboo24boo
3bo3bobo30boo3bo5booboo64boo61b3o4booboo5boo$84b4o429bo3bo3b3o7b3o9boo
bbo4boo6bob3o18boo10bo3bo3b3o7b3o62bo58bobb3obboo7bobo$519b3ob3obo7bo
10boo4bobboo6b4o20boo4boo6b3ob3obo7bo125bo10bo$369boo33boobobb3o104b3o
bbo6boboo5b5o5boobobb3o7boo3boo22boo4b3obbo6boboo5b5o54bobbo25boo17boo
13boo5bo3b5o$369bobo32boboobbobb3o102boo9boboo5boob3o6boobbo9bobo33boo
9boboo5boob3o81boo17bobo13boobboo4boboo$370bo33boboo6boo107boo8b3obboo
3bo13bo6bobobboobo32boo8b3obboo3bo83bo16boo14boo3bo5booboo$405bo116bo
8boo6bo3b4o7bobbo3boo6boobo31bo8boo6bo3b4o82boo30bo3bo3b3o7b3o$405boo
116boo9boo3bobbobboo8bo4boo9bo33boo9boo3bobbobboo81bo5bo28b3ob3obo7bo$
405boo132bobo3boo9bo5bo8bobo47bobo3boo85boobo25b3obbo6boboo5b5o$377bo
19boobo3b3o7boo127bob3o19boobbobo51bob3o85bo3bo13boo9boo9boboo5boob3o$
376bobo18bo3bobbobbo5boo46b3o79bo23bo57bo85boobb3o14bobo14boo8b3obboo
3bo$377bo19bo4bo4boo5boo45bo81b4o20bo29boo26b4o82boobo17boo14bo8boo6bo
3b4o21boo6boo$399bobobbobbo3b3o48bo106b3o25boo100bo13bo3bo31boo9boo3bo
bbobboo20boo4boobo$399boob4o3bob3o50boo78b3o22b6o51b3o69boo11boo5boo
45bobo3boo10boo9bobobboo$399boobobo60bo103bo18b3o107bobo10b3o55bob3o9b
obo8b3obboo$398bobo6boo8boo150boo3bo13bo5boobo104bo7boboo25boo28bo13bo
4booboob3o$384bo13bobbobobobo9bobb3o37bo24b3o81boobbo17b3o3bo103bo3boo
boobobbo23bobo28b4o15bob3o$383bobo17bo3b4o6bob4o35bob5o20bo84b3obb3o
10bo3b3o3bo102bo3boob3o6boo19boo39boobo5bo$384bo13boo3bo3boboobboo3bo
3bobo32boo4boo21bo85bo4bobo9bobo3bo111boboo6bobb3o47b3o6bo3bo7bobbo$
400bo11boobbo9bo31boo28boo82b4obobo10boboo109bobbo4bo5bob5obo53bo3bo4b
obbobbo$404boo7b4o7b3o25b3obbo31bo82b4obobo12bobb3o105b3o12bo6boo47boo
boo4b3obbo$404boo9bo4b7obo23bobboobbo20boo93bo6b3o3boob3o5boo101bobbo
12bo5b3o18boo27bob3o5boobo$420bo32boob5o18boo3bo97bobb4o3bobbo3boo102b
obobo10bobbobbo19bobo27bo3bo5bo$391bo29bobbo3bo21b5obooboo19bobob5o94b
oob3o119bo12b4o19boo31bobbo$390bobo31bo3bo20boobbo26boobo3boo93b3o4b3o
bb4o106bo3bobboobobbo7bobbo49bo3bo$391bo32bobbo23bo28b3o92bo14bo3bobo
114boboobboobo3bobbobo57bo$451boobb3o116b6o12bo3boo113boboo3bo5bobbobo
49boobo3boo$425bobo22boobo20boobo96bo7boo12boo114bo4bo5boo26boo28bobo
bbobo41bo$426bo14boo10bo3bo16bo3bobbobo91bo6bo8boo119boo3bo3bobo26bobo
27bobooboo42b4o$441bobo4boob3obo18bo4boboo94bobobbo8boo5bo104boobbo4b
oo6bob3o25boo21b3o3bobbo4bo40bo4bo$398bo42bo6boo26bobo3bo95bo4bo5boboo
4b3o102boo4bobboo6b4o50bo50bobb4obbo$397bobo38boobo7boo20bo4b3o104boo
3b3o6bobo104boobobb3o7boo3boo49bo3b3o40b3obboo$398bo39bo4bobob3o20b4o
bb3o104boo3bobo8boo105boobbo9bobo51bobbo4b3o37boo3bobo$433boo3bo3bobo
3boo20bo5b3o119boo113bo6bobobboobo28boo16bobobobbobo36boo7boboo$433bob
o3boobo29b3oboo116b3o113bobbo3boo6boobo27bobo16bo3boboo37boo10boo$432b
obbo3booboo150bobbo113bo4boo9bo28boo17bobobb3o38boo12bo$426bo5boo6bobb
oo151bo115bo5bo8bobo45bo3bo40bobo10b3o$405bo19b5obo4bo4bo22b3o4b3o121b
oo3boo121boobbobo49bob3o37bo10bobobboo$404bobo18bo6bo4boo4boo7boo10bo
6b3o121boo3bobo120bo60bo23b3o8boo12bo$405bo27bobobo13boo6bo5bo5bo123b
3obbo122bo25bo13boo14bo5bo18bo3bobboo5b3obo$425boboo5bobbo15bobb5o6boo
131bo124b3o20boo12bobo14bo10bo5b3obbob3o10bo5boo7b3o$414b3o9bo10bo17bo
3bobo6b3o126boboob3o120b6o17bob5obo5boo14boo5bo3boo5bo3bo4bobbo5boo3bo
3bobbo4b3o$414bo16boo22b5oboboboo132boo5bo118bo25bo3b4o22boobobobbobo
6bobbo3bobbooboboo4boobbo3b3o3boo$415bo11boobboobo5boo9b3obbo5bob4o
130b3o6bo117boo3bo19bo3bo23bobobo3bo8bobbobbo3boo3b3obobo10b4o3boo7boo
$412bo4b3o3bo3boobboboo4boo4boo3bobbo3bo4bo7bo133bobo118boobbo19b3o28b
4o8boobo6booboo6bobbo7boo3boo5bo5bo$411bobo4b3oboo3boo3boo7bobboobb4o
4bo4boo26b3o108boboo122b3obb3o16bob4o13boo10boo3bo5bo4bo3bo5bo3bo4boo
8b3o4booboo3bo3bo$412bo7boobbo6b3o9bobobbo9b3o28bo238bo4bobo7bo5boo3bo
bo11bobo11bobbo8boobo4bob4obboo14b3o6boboobooboo$420b3obb6obobobbobo3b
obbo5bo37bo237b4obobo6b5oboobob3obb3o7boo12boboo5boo15boboo4bo18bo4boo
$425b3obb3obobobbo6bo45boo234b4obobo6bo8b3o5boo22bobo5b6obo6bobobboo
27boboo6boo$422bobo7bo3bo4bobbobo14b6o26bo237bo18boobbo39bob3o3boo35b
3obo4boo$427boobb3o3bobboo15boobb7o274boboob5obboboo27b4obbo6booboo3bo
5bobo21boobo3bo6bo$419bo4bobbobboo3boo7bobo9boobbooboobobbo18b3o243boo
boo4bo5boobboo20boo5boo3b3o10b3o3bo6bo21boo4boboo3boo$418bobo4boo3bo
10bo5bobbo6boobboo7b4obo11bo3boo241bob3o35bobo5bobo6bo8bo3bobbo26bobbo
bo4boobboo$419bo5bo11bo3boboobbobboo4booboobo5bobbobobo10bo3bobob3obob
3o231bobboo3boo7boo3boo16boo6bo3bobboboo12bo28bo6boobo7bo$438booboo4bo
3bobob3oboo7bo4bobo9bobbo6bobbo242boo8boo4bo27booboobo5boo35bobbo11bo
bbo$441boo23bo4bo13bo9boob3obo235bo3boo9bo3b3o27bobobo5bobo36bo6boo8b
oo$449bobobo7bo3boobo5boobb3o5boo11b3o236bo3b3o3boobbo4bobo25b3oboo6bo
45bobboob3obobo$449bo3boo6bobob3o7boboobbob4o11b3o241bo5bo8bo30boo8boo
43bobbo3bo$455bo5bobo14b3obb4obo10bo243boo3bobo9bo26b3o8bobbo37boobobo
bobo5b3o$409bo38boo28bo3bobo4bo3b3obo257bobb3o27bob5o3bo39boo4bobo$
408b6o36bo25boo5bo9bobbo3bo253b5o15b3o13boobbo5bobo5bo4b3o24boboobo$
408bo6bo71boo7bo257bobbo16bo19bobo7bobbo4bo$409bo5bo72bobo3bo261boo17b
o19bo6bobboobboobo3bo28bo$413boobo71bo5b4o259bobboo15boo23bobbo6bo3bo
28bobo$410boo76bobobo4bobo36boo216bo4boo17bo24b3o19bo20boo$410bobo76bo
bboo41boo218boboboo40b3o9boo9boo23bo$487boo3boo43bo219boobobbo37boo12b
o8bobo22bo$409b4obo73bo43boo224bo4bo14b5o33bo9bo$400boo7bo78bo7boo33b
oo5b3o222bo14b6o31b3ob3o5bo$399boobo4boo5bobo78boo36bobbooboo217bobo4b
3o47bo3boo3boboo$400bo3boobobbo4b3o79bo37bo28bo195boobo7bo6bo3boboboo
4boo22boo7bo$400bo3bobbo4bo3bobo80boo33booboo24boo198bo6b5o5bobobbo6b
oo$400bo4bobo3bo6boo78bo36bo27bobo204bo6b3o7bo38boobo$400bobbo13b3o74b
o19boo16b3o242boboobbo35b3o3boo3bo$403bo3bobo10bo72b4o17bobo15bobbo30b
oo202boboobobobobboobbo32bobb5o4bo$401boo7bo7b3o3bo68bobboobo14bo16bo
bbo31boo203bo5b3obo38booboo3boo$403bo5b3o7boboboboo68bo29bo4boo245b3ob
4obo11boo19b3o$410bobbo5b3oboboo69boo7boo9b3o5b4obboo32boo204boo4bo4b
oobobo11boo$411b3obo4bob3o71b3o5boo8bo9bobboobo32bobbo200boo3bobboo53b
o$412boob3o4bobo63boo5boo9bobboobboo3bobboobobo3bo31boobo201bobboob4o
4bo30b3o4booboo5boo$414booboo3boo63boo6boo11boob3o7bob4o31b3o206bobobb
3obbobb5o27bobb3obboo7bobo$416boo4bobboob3o58bobbooboo4bo7boobo3bo4bob
oo33bo221boob3o28bo10bo$418b4obobbo7bo56boo7boo6bobbo3bo3boo33boo3bo
212boo7bo3bo18boo7boo5bo3b5o$416b3obobob3o3bobboo56boo7bobo4bobboo6boo
9boo11boo9boo5boboo201boo4boobo9b4o16boo7boobboo4boboo$415bobboo3bo9bo
b5obo53bobo9bo5bobo4boo6boo12bobo10bo5b3o201bobo4bobo6boo30boo3bo5boob
oo$416boo3bobo4bo7bo3b4o50b3o6bobboboo7b3obo8bobboo7bo3bobo8bob4o202bo
bbobbo5boobb3o4bo25bo3bo3b3o7b3o$416boo3b3o11bo3bo57bo4b5o5boo3bobbobb
o8boboo9boobbo6bobboo201booboobbo6boo7boobo27b3ob3obo7bo$434b3o65bo3b
oo5bo4bo5bo7bo3boo7bobbobbo3boo205bo7bo7bo4bo5boo23b3obbo6boboo5b5o$
421bo3bo9bob4o57bo5bo3bo4boo15boobbo3b4o6bobbobob3o204boboobb3o13bo25b
oo3boo9boboo5boob3o$421bo6bo5boo3bobo40boo12boo3b3o4bobobobo3boboboo5b
obboboboob4obbo5bobo217bo7b3o3b3o22boo8boo8b3obboo3bo$421bobo3b5oboobo
b3obb3o36bobo12bobbobo5b3obbo4b5obobobbo7bobbobbobobbo217booboo10boobb
oo32bo8boo6bo3b4o$427bo8b3o5boo29boo5bo14boboob3oboo18bobo3b6o3bo235b
oo6boo33boo9boo3bobbobboo$435boobbo35bobo3boobbo9boo5bo3bo10boobboo12b
obo3bo224bo11bo4bobo50bobo3boo$427boboob5obboboo32bo11bo6boo5b7o9bo5bo
b3obbobo3bo5boboo220bo11bo3bo5bo51bob3o$419booboo4bo5boobboo38bo3boo3b
3o6b3o7boo22boo12bobo215b3obbo11bo6boo4bo47bo$419bob3o54boo4boo4bo5boo
4boobobo24bo224boo4bo22bobbooboo46b4o$419bobboo3boo7boo3boo41b7o8bo
256boobboobo14b3o5bobb5o$426boo8boo4bo42b4o8bo258bobobo4bo6boobbooboo
60b3o$423bo3boo9bo3b3o53booboo250b3obboboobbo6boo3bobbo6boboboo$423bo
3b3o3boobbo4bobo56boo250bo7bo11bo4bo9bo$427bo5bo8bo54boboo253boo5bobo
11bo12boobbo$428boo3bobo9bo38b6obbo3bobboo57bo194b3obb3o13bo3bo9bobbo$
440bobb3o38bo3b4o4bobbo57boo195boo4bo12boo3boo4boobobo$439b5o41bo6bo3b
oo4bo8bo45bobo191b3o6bo12boo3boo3boo$439bobbo47boo5boboboo7boo238boo3b
o17boobo7boo$441boo47boo5bo12bobo47boo188bobb4o21bobbobboobboo$442bobb
oo45bo3bo3bo13bo45boo188bo4boo17boobo6bobb4o$439bo4boo45boo6boo11bo3bo
226b3o28boobo3bo5boobbo$440boboboo45bo4boobboo9boo5b3obbo31booboo183bo
6bobo22bo3b5o$442boobobbo43bo3bobboo5b3obb4obo6b3o27boob3obo183bo4boob
o23bo4b3o7bo$443bo4bo51bobo3bo8booboobbo30bobboobbo185b4obo18b3o4bo3b
3o6boo$448bo53boo5boo8b3o27bo5bo191boo21bo6boo10boboo$443bobo4b3o34bo
8b3oboboo3boboo4boo3boo26b6obo215bo5boo4bobobbooboo$445boobo37boo6bo5b
obbo3bobbobbo19boo13bo6boo216boobbo6boo$448bo37bobobb4o6bobboo5bo20boo
240bobbo6b4o$490b3obo6boobo7boo19bobo9b3o4bo3bo209bo6bobbo8bobo$489bo
bbooboobooboobo28boobo8bo3boo214boo5b4o12bo$495bobo4bo21bo9boboo9bo4bo
212bobo3b3o10bobbo$492boo4boboboo19boo9bobo15bo216boo14bo$491boo3b3obo
bobo9boo7bobo6bo4bo8booboobbo207boo4b5o14bo$491bobb3o3boo11boo14boobbo
3boo6bo3bo211bobb4obo16b4obo$493b3o3bo4bo10bo5bo4boobobobo3boo5b3ob3o
39b3o168bob4obo19boobbo$498bo4bo3boo10bobbo3boo5boo8bo3boo41bo171bo4bo
20bo3bo$487boo5bob4o6b3o7boobobbo5bo3bobo11bo44bo170bo26bobbo$486bobbo
5bobboob5obb4o3boobo3b3o17bo43b3o4boo167bo$487boo7bo4b3ob5o3b3obobo3bo
boobbo11boobbo4b3o33bo5boobo159boo8bo23boo$504bo6boboobbobboo3bobbobb
oo3boobboobbo5bo36bo3boobbo158boo3bobo27boobo$506bo10bo6booboobboobbob
o13bo38bo3bo23boo136bob5obo25bobbo$506bo3bo5b3o3b4o8bo6boo10boo34boo
27bobo135b4obbobo25boobo$508boo3b3oboo4bo9booboo16bo35boo26bo137bobbo
32bo$512bobo5boobo9bo3b3o8boo19boo16b4o30bo134bobbo$511b4oboo14boo4boo
8bobboo15boo16boobbo30boo126b3o35b3o$512boo3bo5bobo6bo15bo3bo17bo14b3o
33boo126bo6bobo27bo3boo$514boboo15bo16bobbo18bo6boo6bo32boo128bo4boobo
26bo3bobob3obob3o$524bobo23bobbo5b3o10bo6bobboo35boo131b4obo26bobbo6bo
bbo$524boo27bo5bo8b3obbo5bo3bobo31boobbo131boo23b3o3bo9boob3obo$524bo
17b3o15bobb4obbo6boo3bobbo29bobb3o158bo6boo11b3o$542bo9bo10bo5bo5boo4b
o31boo164bo4boo11b3o$526bo16bobb6o3boo11bo7bobo34bobo165b5obo10bo$526b
3o16bo9bobo5bo3bo5b3o32b3o3bo167boo4bo3b3obo$526b3obo15boo7bo6boob3obo
3bobbo6b3o11boo9bo6bobbo173bobbo3bo$549boo10booboo6bo3bo6bo12boo11bo4b
o171boo7bo$528b3o18boobo4boobbobo3b3ob4oboo6bo3b3o7bobboo8boboo3bo168b
obo3bo$528bobo19boo5bobo3bo3boo3bobbo10boob3o8booboo5b5o172bo5b4o$529b
3o25bo3boo24bobob5o4b6obobo177bobobo4bobo$531bo20bo3bo6boobbobo4bo3bo
6b3o9bo7boo3bobo175bobboo$537boo12b3obb3o3boob3obo3boboboo5bobobob3o4b
obo9bobo174boo3boo$536boo14boboo3bo3boboobo4bobobobbob3obbo6bo4bo187bo
$530boo5bo14b4obobb5o7bo5bobobo5b3oboob3o189bo$529boo5boo11b3o3bo16boo
3bobbo5boo4bo3boo$531bo4bobobboo6bo6b4o12boo3bo3bo3bo5bo6b3o$533boo3b
oob4o8bobbo6bo17bo3bobo10boo$533boo10bo5bo10bo23bo$545bo5b3o$539bo14b
oo$541boo10bob3o$557bo$540b4o9boo$539b4o3bo4boo59boo$539bo5b3obboob3o
56bobo$547bo3boobb3o7boo45bo$545bobo4bo3boo7bobo47bo$545bobo3b3oboo8bo
49boo$545bobo6boo10bobo46boo$546boo3boobo11b3o5bo39boo$546bo4b3obbo5bo
7bobobo3bo30b3oboo$551boobo6boo3boboobo3bob3o28boo5bo$554booboobbob12o
b4o28bo4boo$552bobo8b3o6boo3bo25boobobobo$541boo9bobo4bo6bo7bobo26bob
3obbo$541bobo3bobooboboobbobbob4o20b3o13bob3ob3o$541bo3bo3boo4boobboo
5bobo18bo13boo7boo$544boo13bo7bo22bo9boo$545boboob4obo32bobboo7boboobb
o$550bobobbo22boo9boboo13bo$546b3o4bo3bo20bobo7bobbo9b3obb3o$546bobbob
obobobo10b3o7bo9bobb3o7bob3o$546bo6boboobo9bo12bob4obobbo7bo$548bobbo
bboo13bo11boobo3bo3boo5b3o3bo$548bobbo9bobo7bobob3o3bo7bo9bo3bo$550boo
3bo4boo3bo4b3oboboo4bo6bo12bo$550bo3bobo8bo8bobboboo15boo$555boo4boo3b
obo3bob3oboboo13boboo$557b3o3bo3boobobobbo7b5o3boobb3o$560bo15boo4boo
bb3obobobbobo$562bobo4boo6bobboo5bobobbo$564bo3b3obboobo11b5o$566bo6bo
3bo13bobbo$566bobb4o4bobo7boo3bobo$566bo6bo13bo$568bobboo6boo$579bo$
578boo$579boo$$581bo$580bobboo$581boboo$585bo$583bobo$583bo$584bobo$
586bo!

BCNU,
-dbell

[dbell]

Here is another application of the diagonal c/4 edge shooter convoy.

Code: Select all

#C A diagonal c/4 convoy which creates a forwards LWSS (or MWSS).
#C Two input gliders are required as shown.  The first one is used to
#C create a ship.  The second one is used to create a backwards glider.
#C The glider hits the ship just as it is being perturbed by a converter
#C spaceship and becomes a LWSS.  If the backmost spaceship is advanced
#C by one generation a MWSS is produced instead.  This reaction has a
#C minimum repeat time of 552 generations.
#C David I. Bell, 4 February 2024
x = 442, y = 708
114bobo$114boo$115bo297$25bobo$25boo$26bo$66boo$65boo$67bo$69bo$68bobo
$67boo$67boo$67b3o$63b3oboo$62bobbo$61bo$61bo$63bo$61bobo$61boo$60bo$
59bo$62bo7boo$58boo9boo5b3o$55boboo11bobo3bo$51b3obo8boo4b3o5bo$51bobb
obbo6bobo3b3ob4o$52bo11bo9boo$67bobo4boo5boo$bboo30boo8boo3b3o15b3o4bo
4b3obo$bbobo29bobo7bobb3o6b3o3boobbo7bo3boo$bbo31bo9bo5boo4bo4boo4bo7b
o$5bo31bo5boobo10bo4bobobo7bo4bo$5boo30boo4bobobbo10b7o9bobbo$5boo30b
oo3bobobbo10boobo3bo$4boo32booboobo$ooboo34b4obo12b3o$o4bo29boo5bobb4o
3boobboo$ob4o4boo23boobbo3bob4obboobobo$4boo3boobo21bobbo5bobooboo3bo
bbo$4boo4bo22booboobboo3bobbo3bo$4boo4bobo20boobobo3boobbobo17bo$6bobb
oobo20booboo5b3oboobo14boo8bo$5boo26bobb4o4b3obb3o12boo7boobo$5bo4bo3b
o22boo7b3oboo9boobobo5boobbo$6bo4bo4boo16boo6boo4bo11boo4boobboobbo$
12bobo3boo14boob4o3bob4o10bobboobo4boo$13bo5b3o12bo3bob6obooboobobboo
bbo9b3o$16b3o18bo6bobo5bobboobobo6boobbo$18bo15bobo5bo12b3oboo8boboo$
19bo3bo17boo9bo4boboo3boboboboo$18bo22bo9boo5b3obo3b3oboo$19bobbo28bob
o4boo4booboboo$20bo51boo$59bo13bo$59bo$74boob3o$74boo$75bo3bo$76boo3$
91boo$91bobo$91bo$94bo$94boo$94boo$93boo$89booboo$89bo4bo$89bob4o4boo$
93boo3boobo$93boo4bo$93boo4bobo$95bobboobo$94boo$94bo4bo3bo$95bo4bo4b
oo$101bobo3boo$102bo5b3o$95bo9b3o$94boo11bo$94bobo11bo3bo$107bo$97boo
9bobbo$97boo10bo$$93boboo$92b4o$92bo3boo4boo6boo$97bobb3obo4boo$104bo
6bo36b3o$96boo4bo45bo$96boo4b3o36b3o6bo$97bo3bobbo36bo6bobo$97bo5b3o
36bo4boob4o$98boo3b4o37b4ob5oboo$106b5o34boo7boobo$108b3oboo$105boobbo
3bo$113boo$110booboo$112b3o$111bobo$112bo3$110boobo$110bo3bo$110bo4bo$
112boo$114bobo$$109bo6boo$108b5o4bobbo$102boo4bo6boo$102bobo11bo$102bo
5boboo6bobo$103boo4bo4bobo$103bobbo6b3o48boo20boo$103bo6booboo49bobo
18boobo$105bobobobbo44boo5bo21bo$157bobo3boobbo18bobbo$107bo4bo44bo11b
o16bo3bo$108b4o48bo3boo3b3o14bobbo$160boo4boo4bo$166b7o$167b4o10boobo
bb3o$181boboobbobb3o$181boboo6boo$182bo$182boo$182boo$174boobo3b3o7boo
$174bo3bobbobbo5boo$174bo4bo4boo5boo$176bobobbobbo3b3o$176boob4o3bob3o
$176boobobo$175bobo6boo8boo$175bobbobobobo9bobb3o$180bo3b4o6bob4o$175b
oo3bo3boboobboo3bo3bobo$177bo11boobbo9bo$181boo7b4o7b3o$181boo9bo4b7ob
o$197bo$198bobbo3bo$201bo3bo$201bobbo$$202bobo$203bo$207b3o$207bo$208b
o$210boo$211bo3boo7boo$214boo8bobo$217boo5bobo$211b6o8b3o$211bobboobo
7bobo$198boo13bo4bo6b3o$198bobo10bo6bo6boo$198bo11bo15bo$201bo7boo3bo
5bo4b3o$201boobboobobb3o5b5o6bo$205bo5bo7bo6booboo$205bobo3bo$203boboo
3bo8boboo$202booboo13bo$202bobbo7bo15boo$204bobo5b5obboobo6bobo$204bo
bboo3bobboobb4o6bo$214bobo3boobbooboo$215bo11bo$212bobbob3o3bo$215bobb
oobbo4bo5bo$213b3obbo3bo9boo$214bobobob3oboo6bob5o$214bo3b4o3bobboo5bo
4bo$214bobo3bo7bobbobbo5bo$220bo6bobboo10bo$219bo9bo6booboobbo$220bo
14boobboo3bo$237bobo$239bobbobo$239boo3bo$240b3o$240bo$242bo$242bo$$
244bo$243b6o$243bo6bo$244bo5bo$248boobo$245boo$245bobo$$244b4obo$235b
oo7bo$234boobo4boo5bobo$235bo3boobobbo4b3o$235bo3bobbo4bo3bobo$235bo4b
obo3bo6boo$235bobbo13b3o$238bo3bobo10bo$236boo7bo7b3o3bo$238bo5b3o7bob
oboboo$245bobbo5b3oboboo$246b3obo4bob3o$247boob3o4bobo$249booboo3boo$
251boo4bobboob3o$253b4obobbo$251b3obobob3o3bo$250bobboo3bo$251boo3bobo
4bo$251boo3b3o7boo$265boobo$256bo3bo5bo$256bo9bobbo$256bobo7bo3bo$266b
obbo3$261boobobb3o$261boboobbobb3o$261boboo6boo$262bo$262boo$262boo$
254boobo3b3o7boo$254bo3bobbobbo5boo$254bo4bo4boo5boo$256bobobbobbo3b3o
$256boob4o3bob3o$256boobobo$255bobo6boo8boo$255bobbobobobo9bobb3o$260b
o3b4o6bob4o$255boo3bo3boboobboo3bo3bobo$257bo11boobbo9bo$261boo7b4o7b
3o$261boo9bo4b7obo$277bo$278bobbo3bo$274boo5bo3bo$274bobo4bobbo$274bob
o$275b3o4bobo$275bobo5bo$275b3o$275boo$276bo$270bo4b3o$269b5o6bo$269bo
6booboo$$269boboo$270bo$263bo15boo$262b5obboobo6bobo$262bobboobb4o6bo$
264bobo3boobbooboo$265bo11bo$262bobbob3o3bo$265bobboobbo4bo5bo$263b3o
bbo3bo9boo$264bobobob3oboo6bob5o$264bo3b4o3bobboo5bo4bo$264bobo3bo7bo
bbobbo5bo$270bo6bobboo10bo$269bo9bo6booboobbo$270bo14boobboo3bo16bo7bo
$287bobo20boo5boobo$289bobbobo15bobo3boobbo$289boo3bo19boobbo$290b3o
19b5o$290bo13b3oboob3o$292bo11bobboboboo$292bobb3o7b3oboo$295bobb3o$
296boo5boo13boo$290b3obb3ob6o12boo$290bobbooboo21bo$291b3o3bo4bo18boo$
293boobo23bo$296boo$298boo3boo14bobbo$296bob3oboo7boo5boo$296bo6boo5b
oo5bo$290boo5boo4bo8bo4bobo$290bobo4bo5bo10boobbo$290bo6bo16boo$291bob
obbooboo17bo$291b3obboobbo16bobo$295bobo20boo$290bobbob3o20b3o$291bob
oobbo22bo$292bobooboobo10bo8b3o$297bo12boo9boo$299bobo8bobo$296b3obo
19bo$295bobo8boo5boo5b3o$295bo3bo5boo6boo$295bo3bob3o3bo9b3o$295bo4boo
7boboo4bo4boo$298bo9boobo6bobobo$296b3ob3o9boo5bobbo$298boboobo4bobobb
o7b3o$299bo7boobob3o5b3o$300bo6b3o3bo4boboo$301boo4bo7boobboo$303boboo
11bobo$298b6obbobo7bo$298bo3bobo4bo$299bobbo3bo$302boobbobo4b3o$302bob
obbo5bo$316bo$303boo4bo3bobbo$304boobbobbobbobbo18bo$304b4o3bo3bo3bo
15boo$305boo4boo4bobbo14bobo$311boo5bobbo15bo$320boo16bo$320boo13boboo
$315boboobobb3o10bo$314booboo3boo$314bobo3boo15boobo$306boo14bo7b3o3b
oo3bo$306boo22bobb5o4bo$319boobo8booboo3boo$319bobbo7b3o$319bobo$341bo
$323b3o4booboo5boo$323bobb3obboo7bobo$325bo10bo$324boo5bo3b5o$324boobb
oo4boboo$324boo3bo5booboo$325bo3bo3b3o7b3o$327b3ob3obo7bo$325b3obbo6bo
boo5b5o$326boo9boboo5boob3o$331boo8b3obboo3bo$330bo8boo6bo3b4o24boo6b
oo$331boo9boo3bobbobboo24bobo3b3obo$347bobo3boo14bo9bo4boo$351bob3o12b
oo10boo$351bo16bobo3bo5bo4bo$351b4o18b6o5bo$365bo7bo8bo$352b3o9b5o5b3o
b3o$364bobboo4b3o$360bo12bo$359b5o5b3obo$359bo3bo5bo$360bo5bo$362b4o$
364b4o$365bo3bob3o$367bobobo$365bo7bo40b3o$359boo4b3o3boo40bo3boo$358b
oo5boo42boobobb4o$359bobo4bo41bo4bobbo$359boobo5boo37bo3boobboo$360bob
3o3boo36bobbo5b3o$360bobobobbo38bo10bobo$361booboboo38boo12bo$360bo46b
o10boobbo$361bobooboo37boo10bobo3bo$365booboo24boo21bo4bo$365bobboo20b
obboobo6boo3bo$365b5o12boobboboo4boboo5boobobo8bobbo$364bobobo5b3o4boo
3boobo3booboobb3obo4boo5b3o$363boobbobobobbo7boobb4o4b3obooboobo4b3obo
$363b3obboboo3bo5boo5bobo8bobo3bo3boobob3obboo8bo$368b3o7boboo5b4obo4b
o3bo8bo8bobo6boo$365bobo3bo5boobobo3bo12boboo8b3o4boobbo3booboo$367bob
obo5bob4o3bobooboobboo4bo10bo7bobbobbobo$367bo8boo12bobobboo3bobo17bob
o3bo$368bobo8b3obo6b3o28b3obbobbo4boo$369boo4bobbobboobo3boo6bobbo22bo
b3o7bobo$370boo4bo10boobo8bo21bo5boo5bo$368bo3b4o8b3obb3o5boo22bo3boob
o$367b4o4boo12bo3boo25bo6bobboboobo$367bo6bobo13boo27b3obob3obob3obbo$
370boobbobo6bo36b3o6b3ob5o$370boobboo6boo43b3obbo3bobbo$371bo4bo5bobo
47b4obbobo$373bo58bobbo3boo$372b3o9b3o37boob3obobo6boo$376boobobob3o
38bo3booboo$376bobboo4bobo5bo5bo24boboo4boo$373bobbobbo7b3obbobo3b3o
30b3o$380boo5b3obbo4b4o29bobo$390bo3boobb3o30boo$387bobo9boo30bo$386bo
bbo9bo34boo$386bo12bobo31bo$387bo$400boo3boo$400boobobo$402bo3bo!

Here is a LWSS stream created by feeding the convoy two glider streams.

Code: Select all

#C A diagonal c/4 period 576 forward LWSS rake.
#C This uses two period 576 glider rakes as input to a convoy which
#C uses them to create an LWSS stream.  If the backmost spaceship is
#C advanced by one generation a MWSS stream is produced instead.
#C David I. Bell, 4 February 2024
x = 576, y = 1138
158b3o$158bo3boo$161bo$158bo$155boobo3bobo$154boo4bobo$155bo3boo$155bo
boo$149bo5bo$148boo5bo$148bob3obb3o$137b3ob3o3bobo5boo$137bobbob3ob4o
5boo$140boo4boboo14bo$134b4o22bobob3o$134bo5bo17boobo5bo$127boo8bobob
oo14boob8o$114b3o9boo6bo5b3obo13bo3b4o$114bo13bobboobo3bobbo13b3o$89b
3o15b3o6bo13boobbo5bobob3o8bobbo$89bobb4obbo8bo6bobo13b3obboo5bo7boobb
o3bo$90b3ob4obo8bo4boob4o22boboo3boobboo$92b3obbobboboo6b4ob5oboo5boo
12bo7booboo3bo$99bobbo8boo7boobo3bobboboo4boobooboo3boobboo$101boobo
21boobobo6boob4o4bo4boo20boo$104bo22boo6boo3bo4b3o6boo7boboo8boo$104b
3o24bobb3o9bo7bo6boobboo9bobo$106bo12bo7bobo11bo5bo11boo4booboo6boobo$
106b3o4boo5boo4b6obboo22bo3boo13boobo$108b6oboo5bo3bo6bobo5bo5boo8bo4b
o5b3obboo3bobo$109boobboobobobbo3boo5bo6b4o3bo4bo5bo5b8obboo$111boobb
oobo3boboo3bobo3b4obobbob5o9bo7boobobboo$111boobb3ob5o3bobo11b3obbo4b
oo10bo3boo6bo$110boo9bobboo7b4o11bobobboobb3obobboboo4bobo$102boo6bobb
obo5bo3boo3boo3boo4bobboboboo3b3o3bobo9bobboo$102bobo4bo4bo13bo12bob3o
4b3obbo9booboboobbo$102bo5boo10b3obo3boo15bobbo5bobo8bo3bobbo3bobo$
105bo3boo10bobobboboo15bobobboobbobo12bo4bo3bo$105boobboob3o6boboo3bo
27bo6b3obbo4bo$108b3obboo7boobboobo20b3o5bobo5bobo4bobbo$104bobob3o13b
o3boo19boobbo4b4obo4bo$104bobo3bo17bo22bobo5bo$103bo6boboo$102booboo3b
o3bo16bobo$101boobo4boo3bo17boo27b3o$102bo4bo3b5o16bo28bo$102bo4bo6b3o
45bo$114b3o18bobo26boo$103b3o8boo20boo27bo3boo$104boo8boo20bo31boo$
103b3o65boo$104boo8bo24bobo23b6o$110booboo25boo23bobboobo$109boo3bo25b
o11boo13bo4bo$111boboo37bobo10bo6bo$116bo26bobo6bo11bo$144boo9bo7boo3b
o$115b3o26bo10boobboobobb3o$109boobboo44bo5bo$109boboboobo30bobo9bobo
3bo$109bo3bo34boo7boboo3bo$148bo7booboo$113bo42bobbo$115bo35bobo4bobo$
112boo38boo4bobboo$111bo31b3o6bo$110bobbobo27bo13bo$111boboo29bo3bo6bo
bo$110bo35b3o7boo$109b3o33boobo3bo3bo$142boo4b4obo$109boobbo28bo5boobb
3o$111bo24boo4bo7bob3o7boo$132bo3bobo5b3ob3obboo$131boo3bo9boboo3boobb
3o$131bobo5bo3b4o3boobooboboo$139bobb3obo3bobbo7bo$133b3o3bo3bo5bobboo
3b5obb3o$132b3o6boo5bo9bobb3o$134bobo4boo17b4o$136b5obo4booboo7bobboo
bbo$137bo4bo4bobo10boo3bo3b3o$135bobo12boo8boo7bo$134b5obb3o6b3o15bobo
$133bobo4bo9b3o14b3o4boo$132boobob3o4b3o3boobbo10boobo4bobo$134boo5bo
bb3o3boo3bo9boo6boo$139boboobo6bo3bo$134bo6boo9bo$134bobo3bo12bo28bo$
136bobboo7b5o28b3o3boo$132boo5bobo6bo5bo15bo12b3ob3o$132boo7booboo3bob
4o14bobo6bobboboo5bo$129bo4bo5booboo8bo15bobo5b3obobo6bobo$128boo4b3o
6bo26bo5bo5bo6bobbo$128bobo9bobboo9bobo18b3oboboo38bo$132bo4bobobbo6b
oo3bobbo17b3o42b5o$131bo4bo3bobobbo3bobobbobbo16boobb3obooboo33bobboo$
131bobbo6boo6bo3bobbo16boo3boo3b3o36boobo$140bo11boobo17boo9bo$137bob
oobb3o7bobo17boo50bobo$136booboobo10bo15boo3boboo15bobo$135bo3bo6bo7bo
14bobo3boo17boo22b3o6b3o$134bobbo3bo3bo8bo14bo6bo17boo17bo4bobb3o4b3o$
134bo4boobbo4boo6bo55boo5boob5ob3o$133bobo3bo3boo3bobo3bobo55bobo3b3o
4booboo$133bo9bo4bo4boobo40b3o24bobo$133boboo6boo6boboo59b3o6bobbo$
134bo3bobooboo6bobbo58b3o7bo$136bobbo11bobo61bobob4obbo$134boobbo4bo
73booboo$134bobo6bo36boo35b6o$136b3o3boo36boo5boo$131boo3bo49bobbo$
130boo4bo3bo3bo41bobo15boo$132bo54bo15bobbo$134bobb3oboo47bo13boo$134b
oobo55bo$194bobo9b3ob3o18boo$120boo12bo3b6o44boo7bo7b4obobbo16boo$120b
obo10bob6o3bo42bo3boobboo7bobo17boo5bo$120bo15b3obbo3boo41boobo21bo9b
oo5boo$123bo9boo5boo46b3o15b3o16bo4bobobboo$123boo10boobboboo64boobboo
14boo3boob4o$123boo8boo3boobo85boo10bo$122boo8boo4bobo98bo$113boo6boo
3bo7bo4bo93bo$113bobo3boobbobobobooboo5b4o92boo$113bo5b3o4bo4boo7bobbo
68bo$116bo10bo12b5o67bo18bo$116boo11boo10bobbo54bo12bo18boo$129boo12b
3o52bo31bobo$139b3obobo52boobbo$139boboobo3bo51boboo$139boboboo3boo51b
oobo$136boo5bo6bo48b6o$135boo7bo3bo51boo$137bo10bo52b3o$141boo5boo52bo
$141bobo4bo$141bo3bo$144boo$145bobbo$136boo83b3o$136bobo3b3o$136bo3bo
4bo51bobo21boo15boo$139boo56boo22boo7bo7bobo$139bo5bo52bo21bobbo6bo7bo
$221boo7bo$216bo$216bo$140boo74b3o30bo$139boobo75bo9boo18bobo$140bo86b
obo21bo$140bobbo84bo$140bo3bo102booboo$140bobbo101b3obobbo$244bobbobb
oo39boobo$249bobo39bo3bo$141b3o100b3ob3o3boo35bo4bo$141bo106boo3bobbo
36boo$142boo112bo38bobo$143boo108bobbo5bo$143bobo10bo7boo86bobboo4bobo
26bo6boo$143bobo9boo6bobbo85b3oboobo3boo24b5o4bobbo$143bo11bobo4boo4b
ooboo82b4o24boo4bo6boo$146boo14bobbobbo87boo7bo17bobo11bo$158boo4boo3b
obbo80bobboob4obobo16bo5boboo6bobo$147bobo8b3obbobo4boo80bob5o6bo18boo
4bo4bobo$140boo20bo89bo4boo6boo17bobbo6b3o$139boo8bobo4boo3bo4bo13bo
72b3o6bobboo17bo6booboo$141bo13boo6bobo7boo4boo8boo69booboboo19bobobo
bbo$143boo4bo4b3o5b5o6bobo3bobo5booboboo66boobobo$142bo6boo4bobbobbo4b
o6bo12b3oboo68bo3bo6boo15bo4bo$159boo4b3o11bobobboobboo71b4o6boo16b4o$
141bobbo4bo8bo4bo4boobboobo3bobobbob3o73bo13boo4bo$138boobo7bo4b3obboo
3bo5b4obobbobbobbobobo87bobobooboo$137boo4bo5bo3boo15boob3oboobo74boo
19bobo4boo$139bobobbo5bo15bo11bo76boo15bobboobo4boo$144bo5bobbo23bobo
91boboboo5bo$141bobbo7boo118bo4bo$142bobo8bo43bobo78bobo5boo$142bobo3b
3obbobboo39boo87boo$143boo4bobo5bobo38bo$143bo6boo4boobbo113bobo$151bo
bbobbo3bo112boo$151booboo3bo115bo$152bob3ob3o$137boo5b3oboobobobo3bo
109boo$137bobo4bob3o7bo3bo108boo$137bo5bobbo3boboobbo5bo$140boboobobb
3o9b3o$139boboob3obboob3obo$139bobboboobbobo14bo$139bobobboo4boo14bo$
138bo11bo13b3o$135boobboo5boobobobbo$134boo3bobo7b3o17bo$135bo10b3o3bo
boo14bo$132b3obo8boo4boo15b3o$131boo3bobo5boo5boo$132bo4b3o4bobo4bo21b
o$132bob3o9bo27bo$132bob3o5bo3bo3bobboo17b3o$131bobbobbobb4obbo3boobob
oo$134bobboobo5bo5b5o20bo$132boo5bo4bobo5boobo22bo$133boo5bo3boboo3b4o
bbo18b3o$132b3o6bo4bo6bobbobo$131bo14bobboo4boo24bo$129boo14bo3bobbob
3o25bo$129bo4bo6booboo5bo5bobboo18b3o$131bobo7bo3bo6b3obo3bobo$130b3o
8boboo7b3obo3bo24bo$144bo7boobbooboobo23bo$141bo4bo6bo3bo3bo22b3o$125b
oob5o7boo5bo9bo$125bob4obbo5b5o3bo6boo3bo19bo9bo7bobo$125bo7bo5bo15b4o
19boo10bo6boo$124boo5bo4boobo10bo7b3o17bobo7b3o7bo$121boo4boo7bob3o8b
3obbo5b3o$120boo3boboo6bobbo9boo3b3o6bo18boo10bo$122bo3boo7bobo9boo4bo
6bo20boobb3o3bobbo$122bobbobo7bo11bobo10boo23boobo3b3o$122boo22booboo
3bo5bo22bo4bo3bo$125boo7boo3bo8booboo7bo21b3o4bo$134boo3bo6bobobbo7bo
22bo5bo$135bo10bobob3o3b5o8boo12bobobboo$135bo10boboboobboboo10boo$
136boo10boo4bo4bobo8bo9b3o$154bobb4o11boo6booboo$153bobb5o11boobboobbo
b3o$149boobobboo18boobobboo$151bo3b3o18bo4boo$151bo3boo16boo3bo$150bob
obob4o13boo$150bo3b3obbo13bo$138boo5boo4b3obobo16booboo$138bobo4bobboo
26bobo$138bobo4bo4bo6boo$139b3o5bobbo$139bobo6bo$139b3o7bo$139boo$140b
o$140boo$139bo$140bobo$141bo$143bo19bo$141b3o9b3o6b4o$141bo11bo7boo4bo
bo$143b3o8bo4boobbo3b4o$145bo10boo4bo4b4o$145b3o9boboobo$138boo7bo16b
oo$138bobo6boo6bobboo$138bo9boo4b6o3bo8bo4b3o8bobo$141bo6boobboobb8o7b
oo4bo7boboobo$141boo5bob3o11bo6bobo4bo5bobobobbo$141boo5boboo5bo3bobbo
18bo$140boo5b3o3bo3boobbobbo6bobo3b3oboboboo3bo$136booboo6bobo4bobboo
3b7ob4o3boo7bo$136bo4bo6boboobo10b5o7bo5bobbo$136bob4o6b4o13boo7bobobo
$140boo9bo24bo$140boo7boo$140boo4bo4bo$142bo4bo3bo3bo$141boo4bobob3ob
3o$141bo6boboo3bobbo$142bo8bo4b3o$150bobobbobobo$149booboo$136bo6bo3b
3o3bobbobo$135boo5b3oboo3bo6bo$135bobo3bobbobbo6b4oboo$141bobobboobboo
3booboo$138boobbo4bo5bo$137b3o3bobobobbobbo8bo$137bobobbo6bo13boo$142b
o5bo3bo9boo$133boob3o6bobo4bo$133bo5bo4boobooboboo12bo$133bo5bo4boo4bo
boo13boo$130boobobo14bo15boo$130bo6bo4boo6bo$130bo4bo6boo5bo20bo$131b
oobobobo5bo4boo20boo$130bobobb3o4boobbobooboboo15boo25bobo$130boo3boob
6o5bobo45boo$69b3o58boo11bo6boobbo19bo23bo$69bo3boo56bo4boboboboo9boo
20boo$72bo65bobobobo5bo3b3o17boo$69bo61boo5bo5boo3b3obo$66boobo3bobo
54boo12bobobobo5bo21bo$65boo4bobo54booboo15boboboobo23boo$66bo3boo55b
oob3o7boboo6bobbo5bo18boo$66boboo59bo9b4o9boboboboo$60bo5bo62bo9bobo7b
obobbobobobo21bo$59boo5bo62bo21bobbo3bo24boo$59bob3obb3o71b3o9boo5boo
21boo$48b3ob3o3bobo5boo56bo14b7o6booboo$48bobbob3ob4o5boo55b9o5boo4boo
8boo31bo$51boo4boboo14bo47bo5b3o5bo17b3o29boo34bo$45b4o22bobob3o48bobb
o5bobo10boobbo33boo34boo$45bo5bo17boobo5bo40booboobbo7b3oboobo5bo4bo5b
oo18b3o35bo5bobo$38boo8boboboo14boob8o40bo5bo8bo11bo3boboo5boo17bo11bo
24boo$25b3o9boo6bo5b3obo13bo3b4o42bo4boo7bobo10bo11boo19bo11boo22bobo
3boobobo$25bo13bobboobo3bobbo13b3o52bo12boo9bo6boo5bo21boo7boo27bo7boo
$3o15b3o6bo13boobbo5bobob3o8bobbo50bobboo8boboo8boboo33bo3boo30bo4bo5b
oo$obb4obbo8bo6bobo13b3obboo5bo7boobbo3bo50bo14boo7bobbobobo5bobo25boo
6bo24bobbobb6o$b3ob4obo8bo4boob4o22boboo3boobboo57bo8booboo12bobbo4bo
30boo4bo$3b3obbobboboo6b4ob5oboo5boo12bo7booboo3bo63boboo7b3obbo4boobo
24b6o3bo47boo$10bobbo8boo7boobo3bobboboo4boobooboo3boobboo67bobo8b3obb
obbobo3bo23bobboobo50bobo$12boobo21boobobo6boob4o4bo4boo20boo45boo13b
4o16boo13bo4bo3bo45bobo$15bo22boo6boo3bo4b3o6boo7boboo8boo58bob4obbobb
3o9bobo10bo6bo4bo45b3o$15b3o24bobb3o9bo7bo6boobboo9bobo56boboo5boo12bo
11bo58bobo$17bo12bo7bobo11bo5bo11boo4booboo6boobo57b3o3bo17bo7boo3bo
54b3o$17b3o4boo5boo4b6obboo22bo3boo13boobo61boo17boobboobobb3o55boo$
19b6oboo5bo3bo6bobo5bo5boo8bo4bo5b3obboo3bobo60bobbo20bo5bo58bo$20boo
bboobobobbo3boo5bo6b4o3bo4bo5bo5b8obboo62b3o6boo17bobo3bo52bo4b3o$22b
oobboobo3boboo3bobo3b4obobbob5o9bo7boobobboo62b3ob3obo17boboo3bo9boobo
39b5o6bo$22boobb3ob5o3bobo11b3obbo4boo10bo3boo6bo57bo6bobo19booboo13bo
3bo38bo6booboo$21boo9bobboo7b4o11bobobboobb3obobboboo4bobo57b4o8bobbo
14bobbo14bo4bo$13boo6bobbobo5bo3boo3boo3boo4bobboboboo3b3o3bobo9bobboo
56bobboo27bobo15boo39boboo$13bobo4bo4bo13bo12bob3o4b3obbo9booboboobbo
59boboo6boo18bobboo15bobo37bo$13bo5boo10b3obo3boo15bobbo5bobo8bo3bobbo
3bobo56bo81bo15boo$16bo3boo10bobobboboo15bobobboobbobo12bo4bo3bo57boo
41bo6boo28b5obboobo6bobo$16boobboob3o6boboo3bo27bo6b3obbo4bo104b5o4bo
bbo25bobboobb4o6bo$19b3obboo7boobboobo20b3o5bobo5bobo4bobbo95boo4bo6b
oo31bobo3boobbooboo$15bobob3o13bo3boo19boobbo4b4obo4bo103bobo11bo32bo
11bo$15bobo3bo17bo22bobo5bo93bo18bo5boboo6bobo25bobbob3o3bo$14bo6boboo
138boo19boo4bo4bobo32bobboobbo4bo5bo$13booboo3bo3bo16bobo118bobo18bobb
o6b3o31b3obbo3bo9boo$12boobo4boo3bo17boo27b3o90bo18bo6booboo33bobobob
3oboo6bob5o$13bo4bo3b5o16bo28bo93bo19bobobobbo35bo3b4o3bobboo5bo4bo$
13bo4bo6b3o45bo89boboo62bobo3bo7bobbobbo5bo$25b3o18bobo26boo87bo23bo4b
o41bo6bobboo10bo$14b3o8boo20boo27bo3boo107b4o41bo9bo6booboobbo$15boo8b
oo20bo31boo84boo68bo14boobboo3bo$14b3o65boo81boo85bobo$15boo8bo24bobo
23b6o83bo88bobbobo$21booboo25boo23bobboobo83boo86boo3bo$20boo3bo25bo
11boo13bo4bo171b3o$22boboo37bobo10bo6bo82b3o10boo6b3o65bo$27bo26bobo6b
o11bo90bobbo8boo6bobboobo64bo$55boo9bo7boo3bo87bo12bo4bo3b7o61bo$26b3o
26bo10boobboobobb3o90boo12boboobbo6bo$20boobboo44bo5bo94bo9boobb3oboo$
20boboboobo30bobo9bobo3bo87bo7boo13boboobbobo$20bo3bo34boo7boboo3bo87b
oo19boboo$59bo7booboo91bobo7bo5b3obooboo15boo8boo$24bo42bobbo102boo3bo
bbo5bo8b3o3boo9b3o$26bo35bobo4bobo94boo7boboobo3bo3bo7bo7bo4b3o4bo$23b
oo38boo4bobboo92boo4bobbobb4o5b3o8bo10boo3bobo$22bo31b3o6bo109boo3bob
3o3boo8bobo7bobobo3bo$21bobbobo27bo13bo93boboo6bo6bobbobo3bo4bobboo3b
8obbo$22boboo29bo3bo6bobo92b4o7bobobbobo9b4obo4bo4boobobobo$21bo35b3o
7b3o91bo3boo8boo25bo$20b3o33boobo3bo3b5o94bobbo3bo24bobobo$53boo4b4obo
4bobbo101boo$20boobbo28bo5boobb3o3bobbo92boo3bo4bo$22bo24boo4bo7bob3o
4boo93boo3bob4obboobo$43bo3bobo5b3ob3obboo100bo5bobobo4bo$42boo3bo9bob
oo3boo100bo5bo4bo4bo$42bobo5bo3b4o3booboobbo98boo6bo4b4o$50bobb3obo3bo
bbo3bo108bo6bo$44b3o3bo3bo5bobboo3bo106b3obbo3bo$43b3o6boo5bo109bo3boo
bbobbo$45bobo4boo106b3o4boobboo3boo4boo$47b5obo4booboo97bo5bobo3bo4b5o
$48bo4bo4bobo19boo79bo4b3o3bob4obbo5bo$46bobo12boo17boo81bo8bo5bo5bobo
$45b5obb3o6b3o98b3o5b3o3boo7boo$44bobo4bo9b3o9bo11bo81b4o4b3o$43boobob
3o4b3o3boobbo6bobo9bobobbo71bobbobb4o3b3o13bo$45boo5bobb3o3boo3bo5bobo
8boobooboo68bo9booboobo12bobo$50boboobo6bo3bo6bo10b4obo68booboobo7boob
oboo10boo$45bo6boo9bo20bo73bob5o5bo4bobbo$45bobo3bo12bo19bo71boboboo7b
7o18bo$47bobboo7b5o19b3o69b4o3bo5bob4o18bobo$43boo5bobo6bo5bo89bobb3o
bbo3boo6bo17boo$43boo7booboo3bob4o30bobb3o54boobo10boo3bo$40bo4bo5boob
oo8bo28b3oboobbo59b3o3boo5bo3bo19bo$39boo4b3o6bo37boboobo57boo4bo3b3o
4bobob4o16bobo24bo$39bobo9bobboo9bobo17bo6b3o3bobbo30bo22boo3bo3bo7bob
obb3o17boo23bo$43bo4bobobbo6boo3bobbo15bobo12bo31b5o30b3o53b3o$42bo4bo
3bobobbo3bobobbobbo15bobo8boo5bo28bobboo21bo3boobo4bo10bo21bo$42bobbo
6boo6bo3bobbo17bo4boo4b4o3bo29boobo20bo6bo4b3obb3obb3o18bobo$51bo11boo
bo23boo5b3obo54bo16bobobb4o19boo$48boboobb3o7bobo30bo38bobo14booboo10b
obbobo3boo$47booboobo10bo15boo16bo54bobbo10bo3boboboo29bo$46bo3bo6bo7b
o14bobo13boo31b3o6b3o12bo10b4o7boobbobob3o18bobo$45bobbo3bo3bo8bo14bo
8boo6boo25bo4bobb3o4b3o13bo8bo9b3obb5o21boo$45bo4boobbo4boo6bo20bobbo
31boo5boob5ob3o12bo15bo14bo$44bobo3bo3boo3bobo3bobo21boo32bobo3b3o4boo
boo12bo15bo6bobbobbo27bo$44bo9bo4bo4boobo67bobo26b7o6boo5boo22bobo$44b
oboo6boo6boboo59b3o6bobbo10b3o4boo6bobo12boboo27boo$45bo3bobooboo6bobb
o58b3o7bo13bobb4obbo4booboo10bo$47bobbo11bobo61bobob4obbo14b3o8bob3o7b
o6bobo30bo32b3o$45boobbo4bo57b3o13booboo12bobo11b3obboo7b5o6bo19boo6bo
bo32bo$45bobo6bo73b6o10booboobbo7bo12boobobo6bo18boo8boo25b3o6bo$47b3o
3boo89bob5o20boo6bo3boo20bo34bo6bobo$42boo3bo98bo11b3o11bo3b3o28boo9bo
22bo4boob4o$41boo4bo3bo3bo89bo3boo9bo9b3obo10bo20bo5bo3bobo24b4ob5oboo
$43bo51boo48b4o9bobo9boo3boo5bo27boobo3boo25boo7boobo$45bobb3oboo41boo
5boo22bo20boo9bobo9bo4boo5b3o26bo3bo$45boobo52bobbo19booboo29bobo8boo
4boo3bobo24boobb3o51bo$101bobo12bo7booboo13boo15boo11boobboob3o25boobo
53boo$31boo12bo3b6o47bo11booboo9boo11boo16bo10bo4boo3booboo10bo13bo3bo
50bobo$31bobo10bob6o3bo47b3o8booboo10boo4boo5bo28b3o6boo12boo11boo5boo
50bo$31bo15b3obbo3boo48bo7booboo10boo3boo5boo29boobbo3bo3bo9bobo10b3o
57bo$34bo9boo5boo47boo4bo9bo19bo4bobobboo27bo8bo13bo7boboo54boboo$34b
oo10boobboboo46boob4o31boo3boob4o24bo3boo17bo3booboobobbo54bo$34boo8b
oo3boobo46b3o3bobo30boo10bo27boo17bo3boob3o$33boo8boo4bobo46b5o4bo42bo
23bo3boobbo20boboo59boobo$24boo6boo3bo7bo4bo48b6obbo36bo28boob3o3boo
15bobbo4bo9bo41b3o3boo3bo$24bobo3boobbobobobooboo5b4o46b6o40boo34boo
15b3o14b5o38bobb5o4bo$24bo5b3o4bo4boo7bobbo113b3o6bobb3o15bobbo14bobb
oo39booboo3boo$27bo10bo12b5o112bobboo4bobboo17bobobo14boobo37b3o$27boo
11boo10bobbo94bo18bobbo8bo22bo$40boo12b3o93boo19bobbo25bo3bo16bobo46bo
$50b3obobo70bo22b3o19boo78b3o4booboo5boo$50boboobo3bo67bo22boo62b3o6b
3o26bobb3obboo7bobo$50boboboo3boo66bo22bo58bo4bobb3o4b3o27bo10bo$47boo
5bo6bo146boo5boob5ob3o26boo5bo3b5o$46boo7bo3bo52boo94bobo3b3o4booboo
27boobboo4boboo$48bo10bo52boo4bo101bobo30boo3bo5booboo$52boo5boo55boob
oo89b3o6bobbo31bo3bo3b3o7b3o$52bobo4bo56booboo88b3o7bo36b3ob3obo7bo$
52bo3bo55boo3bo93bobob4obbo32b3obbo6boboo5b5o$55boo55boobboo95booboo
37boo9boboo5boob3o$56bobbo57boo94b6o41boo8b3obboo3bo$47boo67boobboo
137bo8boo6bo3b4o$47bobo3b3o59boo3boo138boo9boo3bobbobboo$47bo3bo4bo58b
oo32boo125bobo3boo$50boo97bobo128bob3o$50bo5bo92bo130bo$138boo140b4o$
138b4o$136boob7o135b3o$51boo85bo3b4o$50boobo84bo4b3o$51bo56bobo25boobb
oo$51bobbo53boo28bobo$51bo3bo53bo28b3o$51bobbo88boo$142bobo57boobo$
143bo58bo3bo$52b3o147bo4bo$52bo105bo45boo$53boo102b4o45bobo$54boo100bo
3boo$54bobo10bo7boo78boobobobo7bo30bo6boo$54bobo9boo6bobbo78bobo3boo6b
o29b5o4bobbo$54bo11bobo4boo4booboo73boobobo7bo23boo4bo6boo$57boo14bobb
obbo78b4o32bobo11bo$69boo4boo3bobbo76bo16b3o14bo5boboo6bobo$58bobo8b3o
bbobo4boo93b4obo13boo4bo4bobo$51boo20bo101bobbobbo13bobbo6b3o$50boo8bo
bo4boo3bo4bo13bo83bobo17bo6booboo$52bo13boo6bobo7boo4boo8boo68bo4boobo
18bobobobbo$54boo4bo4b3o5b5o6bobo3bobo5booboboo67bo$53bo6boo4bobbobbo
4bo6bo12b3oboo68boo26bo4bo$70boo4b3o11bobobboobboo99b4o$52bobbo4bo8bo
4bo4boobboobo3bobobbob3o66boo$49boobo7bo4b3obboo3bo5b4obobbobbobbobobo
66bobo$48boo4bo5bo3boo15boob3oboobo75boobo$50bobobbo5bo15bo11bo78boo$
55bo5bobbo23bobo78bo$52bobbo7boo125b3o4bo$53bobo8bo105boo18bobo$53bobo
3b3obbobboo101boo19boobb3o$54boo4bobo5bobo124booboo$54bo6boo4boobbo
123bo3bo$62bobbobbo3bo123b3obboo$62booboo3bo130boo$63bob3ob3o$48boo5b
3oboobobobo3bo$48bobo4bob3o7bo3bo36bobo$48bo5bobbo3boboobbo5bo34boo$
51boboobobb3o9b3o35bo$50boboob3obboob3obo$50bobboboobbobo14bo$50bobobb
oo4boo14bo$49bo11bo13b3o$46boobboo5boobobobbo$45boo3bobo7b3o17bo$46bo
10b3o3boboo14bo$43b3obo8boo4boo15b3o$42boo3bobo5boo5boo$43bo4b3o4bobo
4bo21bo$43bob3o9bo27bo$43bob3o5bo3bo3bobboo17b3o$42bobbobbobb4obbo3boo
boboo$45bobboobo5bo5b5o20bo$43boo5bo4bobo5boobo22bo$44boo5bo3boboo3b4o
bbo18b3o$43b3o6bo4bo6bobbobo$42bo14bobboo4boo24bo$40boo14bo3bobbob3o
25bo$40bo4bo6booboo5bo5bobboo18b3o$42bobo7bo3bo6b3obo3bobo$41b3o8boboo
7b3obo3bo24bo$55bo7boobbooboobo23bo$52bo4bo6bo3bo3bo22b3o$36boob5o7boo
5bo9bo$36bob4obbo5b5o3bo6boo3bo19bo9bo$36bo7bo5bo15b4o19boo10bo$35boo
5bo4boobo10bo7b3o17bobo7b3o$32boo4boo7bob3o8b3obbo5b3o$31boo3boboo6bo
bbo9boo3b3o6bo18boo10bo$33bo3boo7bobo9boo4bo6bo20boobb3o3bobbo$33bobbo
bo7bo11bobo10boo23boobo3b3o$33boo22booboo3bo5bo22bo4bo3bo$36boo7boo3bo
8booboo7bo21b3o4bo7bobo$45boo3bo6bobobbo7bo22bo5bo8boo$46bo10bobob3o3b
5o8boo12bobobboo8bo$46bo10boboboobboboo10boo$47boo10boo4bo4bobo8bo9b3o
$65bobb4o11boo6booboo$64bobb5o11boobboobbob3o$60boobobboo18boobobboo$
62bo3b3o18bo4boo$62bo3boo16boo3bo$61bobobob4o13boo$61bo3b3obbo13bo$49b
oo5boo4b3obobo16booboo$49bobo4bobboo26bobo$49bobo4bo4bo6boo$50b3o5bobb
o$50bobo6bo$50b3o7bo$50boo$51bo$51boo$50bo$51bobo$52bo$54bo19bo$52b3o
9b3o6b4o$52bo11bo7boo4bobo$54b3o8bo4boobbo3b4o$56bo10boo4bo4b4o$56b3o
9boboobo$49boo7bo16boo$49bobo6boo6bobboo$49bo9boo4b6o3bo8bo4b3o8bobo$
52bo6boobboobb8o7boo4bo7boboobo$52boo5bob3o11bo6bobo4bo5bobobobbo$52b
oo5boboo5bo3bobbo18bo$51boo5b3o3bo3boobbobbo6bobo3b3oboboboo3bo$47boob
oo6bobo4bobboo3b7ob4o3boo7bo$47bo4bo6boboobo10b5o7bo5bobbo$47bob4o6b4o
13boo7bobobo$51boo9bo24bo$51boo7boo$51boo4bo4bo$53bo4bo3bo3bo$52boo4bo
bob3ob3o$52bo6boboo3bobbo$53bo8bo4b3o$61bobobbobobo$60booboo$47bo6bo3b
3o3bobbobo$46boo5b3oboo3bo6bo$46bobo3bobbobbo6b4oboo$52bobobboobboo3b
ooboo$49boobbo4bo5bo$48b3o3bobobobbobbo8bo$48bobobbo6bo13boo$53bo5bo3b
o9boo$44boob3o6bobo4bo$44bo5bo4boobooboboo12bo$44bo5bo4boo4boboo13boo$
41boobobo14bo15boo$41bo6bo4boo6bo$41bo4bo6boo5bo20bo$42boobobobo5bo4b
oo20boo$41bobobb3o4boobbobooboboo15boo$41boo3boob6o5bobo$41boo11bo6boo
bbo19bo$42bo4boboboboo9boo20boo$49bobobobo5bo3b3o17boo$42boo5bo5boo3b
3obo$41boo12bobobobo5bo21bo$39booboo15boboboobo23boo$38boob3o7boboo6bo
bbo5bo18boo17bobo$40bo9b4o9boboboboo37boo$40bo9bobo7bobobbobobobo21bo
15bo$40bo21bobbo3bo24boo$51b3o9boo5boo21boo$35bo14b7o6booboo$34b9o5boo
4boo8boo31bo$34bo5b3o5bo17b3o29boo34bo$37bobbo5bobo10boobbo33boo34boo$
30booboobbo7b3oboobo5bo4bo5boo18b3o35bo5bobo$30bo5bo8bo11bo3boboo5boo
17bo11bo24boo$30bo4boo7bobo10bo11boo19bo11boo22bobo3boobobo$32bo12boo
9bo6boo5bo21boo7boo27bo7boo$31bobboo8boboo8boboo33bo3boo30bo4bo5boo$
31bo14boo7bobbobobo5bobo25boo6bo24bobbobb6o$34bo8booboo12bobbo4bo30boo
4bo$44boboo7b3obbo4boobo24b6o3bo47boo$44bobo8b3obbobbobo3bo23bobboobo
50bobo$45boo13b4o16boo13bo4bo3bo45bobo$57bob4obbobb3o9bobo10bo6bo4bo
45b3o$57boboo5boo12bo11bo58bobo$59b3o3bo17bo7boo3bo54b3o$64boo17boobb
oobobb3o55boo$63bobbo20bo5bo58bo$59b3o6boo17bobo3bo52bo4b3o$59b3ob3obo
17boboo3bo9boobo39b5o6bo$55bo6bobo19booboo13bo3bo38bo6booboo$54b4o8bo
bbo14bobbo14bo4bo$54bobboo27bobo15boo39boboo$56boboo6boo18bobboo15bobo
37bo$57bo81bo15boo$58boo41bo6boo28b5obboobo6bobo$100b5o4bobbo25bobboo
bb4o6bo$94boo4bo6boo31bobo3boobbooboo$94bobo11bo32bo11bo$75bo18bo5bob
oo6bobo25bobbob3o3bo$74boo19boo4bo4bobo32bobboobbo4bo5bo$74bobo18bobbo
6b3o31b3obbo3bo9boo$76bo18bo6booboo33bobobob3oboo6bob5o84bo$77bo19bobo
bobbo35bo3b4o3bobboo5bo4bo80boo$74boboo62bobo3bo7bobbobbo5bo81boo$75bo
23bo4bo41bo6bobboo10bo$100b4o41bo9bo6booboobbo$76boo68bo14boobboo3bo$
76boo85bobo$76bo88bobbobo$77boo86boo3bo$166b3o$77b3o10boo6b3o65bo$77bo
bbo8boo6bobboobo64bo$78bo12bo4bo3b7o61bo$80boo12boboobbo6bo$82bo9boobb
3oboo$75bo7boo13boboobbobo$74boo19boboo$74bobo7bo5b3obooboo15boo8boo$
84boo3bobbo5bo8b3o3boo9b3o$77boo7boboobo3bo3bo7bo7bo4b3o4bo$77boo4bobb
obb4o5b3o8bo10boo3bobo$84boo3bob3o3boo8bobo7bobobo3bo$73boboo6bo6bobbo
bo3bo4bobboo3b8obbo$72b4o7bobobbobo9b4obo4bo4boobobobo$72bo3boo8boo25b
o$77bobbo3bo24bobobo$85boo$76boo3bo4bo$76boo3bob4obboobo$77bo5bobobo4b
o$77bo5bo4bo4bo$78boo6bo4b4o$88bo6bo$86b3obbo3bo$80bo3boobbobbo$71b3o
4boobboo3boo4boo$71bo5bobo3bo4b5o$72bo4b3o3bob4obbo5bo$74bo8bo5bo5bobo
$73b3o5b3o3boo7boo$78b4o4b3o$72bobbobb4o3b3o13bo$70bo9booboobo12bobo$
69booboobo7booboboo10boo$69bob5o5bo4bobbo$67boboboo7b7o18bo$66b4o3bo5b
ob4o18bobo$66bobb3obbo3boo6bo17boo$67boobo10boo3bo$72b3o3boo5bo3bo19bo
$66boo4bo3b3o4bobob4o16bobo$66boo3bo3bo7bobobb3o17boo$77b3o$68bo3boobo
4bo10bo21bo$68bo6bo4b3obb3obb3o18bobo$67bo16bobobb4o19boo$64booboo10bo
bbobo3boo$64bobbo10bo3boboboo29bo$64bo10b4o7boobbobob3o18bobo16bo$66bo
8bo9b3obb5o21boo15bo$65bo15bo14bo36b3o$64bo15bo6bobbobbo27bo$75b7o6boo
5boo22bobo$59b3o4boo6bobo12boboo27boo$59bobb4obbo4booboo10bo$62b3o8bob
3o7bo6bobo30bo32b3o$56bobo11b3obboo7b5o6bo19boo6bobo32bo$55booboobbo7b
o12boobobo6bo18boo8boo25b3o6bo$55bob5o20boo6bo3boo20bo34bo6bobo$57bo
11b3o11bo3b3o28boo9bo22bo4boob4o$56bo3boo9bo9b3obo10bo20bo5bo3bobo24b
4ob5oboo$56b4o9bobo9boo3boo5bo27boobo3boo25boo7boobo$58boo9bobo9bo4boo
5b3o26bo3bo$69bobo8boo4boo3bobo24boobb3o51bo$70boo11boobboob3o25boobo
53boo$70bo10bo4boo3booboo10bo13bo3bo50bobo$82b3o6boo12boo11boo5boo50bo
$83boobbo3bo3bo9bobo10b3o57bo$86bo8bo13bo7boboo54boboo$85bo3boo17bo3b
ooboobobbo54bo$89boo17bo3boob3o$85bo3boobbo20boboo59boobo$84boob3o3boo
15bobbo4bo9bo41b3o3boo3bo$93boo15b3o14b5o38bobb5o4bo$79b3o6bobb3o15bo
bbo14bobboo39booboo3boo$79bobboo4bobboo17bobobo14boobo37b3o$80bobbo8bo
22bo$82bobbo25bo3bo16bobo46bo$83boo78b3o4booboo5boo$125b3o6b3o26bobb3o
bboo7bobo$120bo4bobb3o4b3o27bo10bo$119boo5boob5ob3o26boo5bo3b5o$119bob
o3b3o4booboo27boobboo4boboo$131bobo30boo3bo5booboo$121b3o6bobbo31bo3bo
3b3o7b3o$120b3o7bo36b3ob3obo7bo$122bobob4obbo32b3obbo6boboo5b5o$124boo
boo37boo9boboo5boob3o$124b6o41boo8b3obboo3bo$170bo8boo6bo3b4o5bo$171b
oo9boo3bobbobboo4boo$187bobo3boo4bobo$191bob3o$191bo10boo$191b4o6b3o$
201bo$192b3o$197boobobo$196bo5bo$195bo3boo$195bo$195boo$196bo$194boo$$
194bobo$193boo9bo$191bobo9boo5boo$190bo3bo8bobo4bobo$185booboo20bo$
185bo3bo3bo3b3o5boboboo$185boboo8bo5boo$184boo12bo4b5o$183b3o15bobobb
3o5b3o$135b3o29b3o7b3o3b3o4boo4bo3boo5bobobbooboo$135bo31bo9bo3bo8bobo
bboo5bo8bo$136bo31bo9bobb3o6bo4boboobbo5bobboboo$138boo30boo5b3o3bo24b
oo$139bo31bo3boobboo11b3o3bobo$175boo15boo$136bo35bo17bo3bo$133b4obo
31b4o3booboo4bobbobbo$133bo4bo5bo24b3obobbo4bo3b4o$134bo4boobboo22boo
bbobobboo7bo4bo$136bobb3obobo21b4oboo4bo5boboboo$140booboo22bo4bobobb
oobb3o$137booboobboo25b5oboo3bo16boo$138boboo24bobo3b4o5bobo13boobo7b
oo$138bobobbobo21bobobb3ob3obbob3o9bo4boo3boobo$139boo4boo23bo5boobo
14b3o3boo3boo$147booboobo13bo3b3o3bob3ob3o10bobo3bobboo$147bobboobo13b
o3boboobo6boo5bobbo5bobbo$146boo6bo13bo3b4o3b3obboboob4o8bobo$151boobo
13boo4bo9bob3obbobobbo5b3o$154bo20bobo9bo6boo5bobo$151bobbo19bo10boo3b
o5boboo$154bo20boo7boo5boo5bobb3o$152boo32bo4boobo3bo6b3o$192boo$206bo
bo$208bobbo$208boob3o$210bo$209bo$209bo3$224b3o$224bo$225bo$227boo$
228bo$$225bo$222b4obo$222bo4bo5bo$223bo4boobboo$225bobb3obobo$229boob
oo$226booboobboo$227boboo$227bobobbobo$228boo4boo$236booboobo$236bobb
oobo$235boo6bo$228boo10boobo$227boo14bo$229bo10bobbo$231boo10bo$230bo
10boo$$229bobbo$226boobo$225boo4bo12bo$227bobobbobb3o5boo$232bobbo7bob
o36boo$229bobbo3bo45bobo$230bobo3bo38boo5bo$230bobobboo38bobo3boobbo$
231boobb3o37bo11bo$231bo46bo3boo3b3o$237boboboboo33boo4boo4bo$238boo3b
3o38b7o$239bo6bo38b4o$243boobo$244boo$244boo$244boo$245bo4$243b3o$243b
obb3o$244bobo$249bo$247bo$249bobo$242boobo6bo$241boo3bobbobbo$235b3o4b
obbobbo3bo$235bo6bobbobbo3bo$238bo3bo6bobo$235bobbo8boo71bo$236bobbo6b
3o48b3o19boo$237bo5bo3bo49bo21bobo$239boboboobo43b3o6bo21bo$241boo47bo
6bobo22bo$245bo45bo4boob4o16boboo$228boo63b4ob5oboo14bo$227bobo12bobbo
48boo7boobo$227boo60boo30boobo$289boo23b3o3boo3bo$314bobb5o4bo$271boo
42booboo3boo$260b3o8boo16bo24b3o$262bo26bo$254b4o3bo27bo35bo$253boo52b
3o4booboo5boo$252boobobbo48bobb3obboo7bobo$253boboboo50bo10bo$254boobo
50boo5bo3b5o$255boo51boobboo4boboo$308boo3bo5booboo$309bo3bo3b3o7b3o$
311b3ob3obo7bo$309b3obbo6boboo5b5o$310boo9boboo5boob3o$315boo8b3obboo
3bo$314bo8boo6bo3b4o$315boo9boo3bobbobboo$331bobo3boo$335bob3o$335bo$
335b4o$$336b3o$341boo$341bobo$341bo$344bo$344boo3bo$344boobbobo6b3o$
345boboobbo5bo$345boobob3o5bo$345bobo3boo4b3o$345bo5bo5b3oboo$331b3o
17boo$331bo12boo$324bo7bo10boboo13bo$325boo7b3o5bo4bo5boobobb5o$324boo
9b6oboo3bo4boo3boboboobo$338bo4bo9bobbo5bobo$337bobo4boo7bobbo$336b3o
14bo$335bo20bo$336bobo7boo5bobbo5b3o$337b5o3boo3boboobboo4bo$338boobo
5bob4obb3o6bo$347boobobb4obboo$347bo3bobbo4boobo$347bo3boboobbo3bo$
347bobob3ob3o8boobbo$348bobbobo11boo4bo$347boo3bo3bobbo6bobo$348bo7bo
bb5obb4oboo$348bo4bo7bo3boo5boobo$353boo6boobbo4boo$353boo9boo3b4obboo
$369bo6bo$$372b3oboo$$375bo$375bo$375bo3$377boobbo$376boo$378booboobo$
380bobobbo$379bob5o$378boob3o$378boo$378bobbo$369bo7booboboo$368boo6bo
3boo3bo$368bobobb4oboo5bo$370bob3o3bo5bobbo$371bo4boo$368boboboobobo7b
4o$370b4obbo$372boobbo9b5o$370bobo6bo9b3oboo$371boo4boobbo7bobobobo$
381bobo4bo$379bobobo4boo$381bobobbooboob3o$383b3oboobo6bo$383boo3boobo
3bob3o$384boo4bobo3bo$388bobbobboo$384boobbo6bo$384bo3bo3bo7bo$385bo4b
oboo5boo$391bo7bobo$389boo10bo$390bo11bo$390bo8boboo$400bo$$401boobo$
394b3o3boo3bo$394bobb5o4bo$395booboo3boo$394b3o$$405bo$387b3o4booboo5b
oo$387bobb3obboo7bobo$389bo10bo$388boo5bo3b5o$388boobboo4boboo$388boo
3bo5booboo$389bo3bo3b3o7b3o$391b3ob3obo7bo$389b3obbo6boboo5b5o$390boo
9boboo5boob3o$395boo8b3obboo3bo$394bo8boo6bo3b4o$395boo9boo3bobbobboo$
411bobo3boo$415bob3o$407b3o5bo$407bo7b4o$408bo$407b3o6b3o$407b3oboo3$
410bo$403boobobb5o$402boo3boboboobo$403bobbo5bobo$403bobbo$403bo$406bo
$396boo5bobbo5b3o$395boo3boboobboo4bo$397bob4obb3o6bo$397boobobb4obboo
$397bo3bobbo4boobo$372boo23bo3boboobbo3bo$371bobo23bobob3ob3o8boobbo$
371boo25bobbobo11boo4bo$397boo3bo3bobbo6bobo$398bo7bobb5obb4oboo$398bo
4bo7bo3boo5boobo$403boo6boobbo4boo$384boo17boo9boo3b4obboo$383bobo33bo
6bo17boo6boo$383boo58boo4boobo$422b3oboo16bobobboo$444b3obboo$425bo12b
ooboob3o$425bo12bob3o$425bo3boobo5bo$429bo3bo7bobbo$429bo3bo4bobbobbo
7bo$394boo28booboo4b3obbo12boo$394boo28bob3o5boobo13bobo$424bo3bo5bo$
427bobbo23boo$428bo3bo21boo$437bo$429boobo3boo7bo6boo$431bobobbobo5boo
5bobbo$430bobooboo7bobo3boobo$423b3o3bobbo4bo10bo$423bo23bo$426bo3b3o
14bobboo$424bobbo4b3o17bo$425bobobobbobo16bo$425bo3boboo18bobo$425bobo
bb3o$425bo3bo23bobo$429bob3o10boo$434bo8boo9bobo$429bo5bo9bo8boo$429bo
10bo6boo5bo$428boo5bo3boo5bo$431boobobobbobo9boobbo$428bobobo3bo8bobbo
bbo$430b4o8boobo5bobob3o$431boo3bo5bo4bo4boobboo$432bobbo8boobo4b3o$
432boboo5boo10boo$433bobo5b6obo7boo$444bob3o3bo$435b4obbo6booboo$432b
oo3b3o10b3o$432bobo6bo8bo$432bo3bobboboo$435booboobo5boo$437bobobo5bob
o$435b3oboo6bo$438boo8boo$437b3o8bobbo$438bob5o3bo20boo$440boobbo5bobo
15boobo$444bobo4boobo14bo$445bo9bo13bobbo$454b4o11bo3bo$452booboobo10b
obbo$448booboo5bo$447boo3bobo$449bobobboobo6boobobb3o$454boo8boboobbo
bb3o$455boo7boboo6boo$452booboo8bo$452bo12boo$453bo11boo$457boobo3b3o
7boo$457bo3bobbobbo5boo$457bo4bo4boo5boo$459bobobbobbo3b3o$459boob4o3b
ob3o$459boobobo$458bobo6boo8boo$458bobbobobobo9bobb3o$463bo3b4o6bob4o$
458boo3bo3boboobboo3bo3bobo$460bo11boobbo9bo$464boo7b4o7b3o$464boo9bo
4b7obo23b3o5b3o$480bo31bo5booboo$481bobbo3bo13boo11bobo$484bo3bo12boo
13boboo$484bobbo15bo3boobbobobo$506booboboobo$485bobo10boo8boobo$486bo
10boobboo$498bobboo$493boo3bo3bob4o$492boobobbo6bo$494booboo4boo$496b
3o$$498bobo4boo$499b3o3bobo$498bo3boo44boo$493bo5bobb4o42b4o$492boo6b
3obbo40bo5bo$492bobo4bobo40b3obobbo$500boo39bobboo$494boboobo3bo36bo7b
oo$493boo4bo3bo35bobbo7b3o$493boo3bo40bo10b4o$493boobboobbo39bo9bobbo$
495boboo3bo36bobo10boboo$499boboo25bo9bobo10bobbo$499bob3o23b4o6bo14bo
$516bo5b3obboboo6boboboo9bo$498boo8boo5boo5bobo9bobbob4o7bobo$497b3o4b
o3bobo4bob5obbooboo3b3o3boobboobbooboo$497bob4obbobbo7bob3obboob3obo7b
oo5bo4bo3bo$498boo4bo6bobo6bo5bob3obbo9boboo5b3o7bo$498boobbo8b3obo4b
ooboobobbobbobbo8bo4bobbobboo4b3o$499bo11bobbo5bo5bobb3o3boo16bo3boboo
boo$501bob3o4b3obbo8b5obbo3boo8bobo6bob3o4bo$501bobboo4bo5bo6bo3bo3bo
14bo8bobo4bo$502bobo5bobbobobo10b3o27bo8b3o$503boobo3bobbobo4b3obbo4bo
27bobobo4bo$505bobbo8boo13bo21b5obobo6bo$501b4o3boo11boob3o5bo21bo4bob
oobobbobo$500boo4boboboo7bo4boo27bobo3boo3bobboo$502bobb4oboo40b3obbo
4b3obboo$504boobbobo5boo36bo6bobo7bo$510bo4boo45boo3booboboo$505boo9bo
bo42boob3ob5o$516b3o42b3oboboboo4bo$506bo3b3o3boo39b3o3bobo8bo$506boo
3b3o4bobo12bo23bo3boboboo7bo$508boo3bo18boo24bo3b3o$513bo6bobob5oboob
oo28bo$514bo7b4o5boo32bo$521bo8bo33bobo$520bo3bo7bo32b3o$520bo12bo33bo
$520bobo10boo$536bobbo$534bob3obo$534bo3bobo$535bo3$489bobbo$488bo$
488bo3bo$488b4o!

This is a lot of work just to save one glider rake, but it was fun.

Maybe someone can create the two input gliders from a glider duplication reaction. Then the whole thing can be run using one input rake.

BCNU,
-dbell

[amling]

At dbell's suggestion I gave up on perfect clearance when trying to find a traffic light and/or both-phases blinker c/4d eater and it worked out much, much better, which is to say at all. Pictured here eating half of one traffic light, clearing a traffic light 4 half diagonals over (3 over is still a collision), and then deleting some haphazardly placed blinkers in a mix of phases:

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 57, y = 110, rule = B3/S23
3o8$10bo$10bo$10bo5$17bo$17bo$17bo4$21b3o$34bo$34bo$34bo2$30b3o3b3o2$
34bo$34bo$34bo4$42bo$42bo$42bo2$38b3o3b3o2$42bo$42bo$42bo2$37b2ob2o$
37bob4o$33bo3bo4b3o$26b3o3b4ob2o6bo$26bo5bo2bob2o5b2o$23bo3bo2b2o2b2ob
o6b2ob3o$22b2o5bobo11b3ob2obo$22bob3o2b3obo3b2o4bo7bo$25b4o4bobo7bo4b
3o$25b3o10bo5bo5bo$24bobobo3b2o3bo6b2o$24bobo4bo2bobo7b2o4bobo$24bo2b
2obo19bobo$30bo4bo13bo4bo$23b2o3bo2bobo2bo8b2o3bob5o$22bo3bo2b2o4b2o8b
obo3bo3b2o$22bobo9bo10bo6b4o$22bo2bo22bo3b2o$22b3o5b2ob3o12b2o$25b2ob
3o2bo19bo$22b5obo4bo17b2o$25b2o24b2o$25bo28bo$25b2o19b3o6bo$24b2obo18b
o2b2o4bo$28bo18bo2bo$25bob2o20bo2bo$25b2o23b2o$24b2o2$24b3o$24b2o$27b
3obo$25b2o2bobo$30bo$25bo$24b3ob2o$23b2o5bo2$25bobo2bo$21bo3bobob3o$
20b2o3bo4b2o$20bobo5bob2o$28bobo$25b2obo2b2o$24b2obobo$23b2obo4b2o$22b
2o$23bo2$22bobo$21b3o$21b2o2$19b2o$18b3o$13bobob4o$12b3obob2o$11b2ob2o
$10b2o$11bo$2b3o$2bo8bo$3bo2b5o$5bo$6b2o!

Unless someone tells me it's their life's dream to clear traffic lights 2 or 3 half diagonals apart I don't think I'm going to go back and run searches with those specific clearances to try to shrink the gap between 1 (which I have definitely given up on) and 4.

EDIT: I noticed only the one spot violates clearance and reasonably far down that easier branch. It wasn't too bad to resolve it to be able to clear a traffic light two half diagonals over:

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 60, y = 110, rule = B3/S23
3o8$10bo$10bo$10bo5$17bo$17bo$17bo4$21b3o2$33bo$33bo$33bo2$29b3o3b3o2$
33bo$33bo$33bo3$42bo$42bo$42bo2$38b3o3b3o2$42bo$42bo$42bo2$37b2ob2o$
37bob4o$33bo3bo4b3o$26b3o3b4ob2o6bo$26bo5bo2bob2o5b2o$23bo3bo2b2o2b2ob
o5bob2o$22b2o5bobo10b3o3bo$22bob3o2b3obo3b2o9bo$25b4o4bobo5b2obo3b2o$
25b3o10bo4bo2b4o$24bobobo3b2o3bo6b3o3bo$24bobo4bo2bobo7bo3bo$24bo2b2ob
o17bob2o$30bo4bo7b2obob2o$23b2o3bo2bobo2bo5b2o4b2obo$22bo3bo2b2o4b2o6b
o$22bobo9bo8bob2o5b2o$22bo2bo16bobo4bo$22b3o5b2ob3o6bobo3b2ob4o$25b2ob
3o2bo7bo2bo9b3o$22b5obo4bo10bo2b2o2bob2o$25b2o15b3o6b3o$25bo25bo2bo$
25b2o17b2o5b3o$24b2obo15b3o5b2obob2o$28bo18bobo2bo2b3o$25bob2o15b2o6bo
3bo$25b2o20bobo3b2obo$24b2o23bo$37b3o5bo2b2o5bo$24b3o10bo6b4o3bo2bo2bo
bo$24b2o14bo3bob2o6bobobo$27b3obo6bo2bo8bo3bo3bo$25b2o2bobo7bobo4b2o5b
o$30bo8bo3bob2o2bo3bo2bo$25bo13bobo7bo7bo$24b3ob2o9bo4bo7b2o3bo$23b2o
5bo13bo7b2o3bo$42bobob2o6bo2bo$25bobo2bo10b2obo9bo2bo$25bobob3o10b4o9b
2o$25bo4b2o7b5o5b2o5bo$28bob2o6b2o2b2o5bobo4bo$28bobo9bobo6bo6b2o$25b
2obo2b2o19bo3b2o$24b2obobo11bo10b2o$23b2obo4b2o8b3o$22b2o17b3o$23bo18b
o$40b3o$22bobo8b2o4bo$21b3o8b2o5bo2bo$21b2o11bo4b2o$36b2o$19b2o15b2o$
18b3o$13bobob4o$12b3obob2o$11b2ob2o$10b2o$11bo$2b3o$2bo8bo$3bo2b5o$5bo
$6b2o!

Sadly I already tried my best shot at working out a c/4d front that could do it with perfect diagonal clearance so that's gonna be it until/unless tools or hardware improve.

[dbell]

> Pictured here eating half of one traffic light
That's pretty cool. I wouldn't have thought beforehand that it was possible to eat both phases with the same ship.

I think that the new eating spaceships act a lot like enzymes. They have an active site which is specific to a particular reaction, and the rest of the ship is just there to support it.

I forget, but did you try to make eaters out of orthogonal c/3 ships? The c/3 edge-repair spaceship is an existing example. Maybe there are other ships which could eat a block one-sided, or other things like blinkers or beehives.

BCNU,
-dbell

[HartmutHolzwart]

At dbell's suggestion I gave up on perfect clearance when trying to find a traffic light and/or both-phases blinker c/4d eater and it worked out much, much better, which is to say at all. Pictured here eating half of one traffic light, clearing a traffic light 4 half diagonals over (3 over is still a collision), and then deleting some haphazardly placed blinkers in a mix of phases:

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 57, y = 110, rule = B3/S23
3o8$10bo$10bo$10bo5$17bo$17bo$17bo4$21b3o$34bo$34bo$34bo2$30b3o3b3o2$
34bo$34bo$34bo4$42bo$42bo$42bo2$38b3o3b3o2$42bo$42bo$42bo2$37b2ob2o$
37bob4o$33bo3bo4b3o$26b3o3b4ob2o6bo$26bo5bo2bob2o5b2o$23bo3bo2b2o2b2ob
o6b2ob3o$22b2o5bobo11b3ob2obo$22bob3o2b3obo3b2o4bo7bo$25b4o4bobo7bo4b
3o$25b3o10bo5bo5bo$24bobobo3b2o3bo6b2o$24bobo4bo2bobo7b2o4bobo$24bo2b
2obo19bobo$30bo4bo13bo4bo$23b2o3bo2bobo2bo8b2o3bob5o$22bo3bo2b2o4b2o8b
obo3bo3b2o$22bobo9bo10bo6b4o$22bo2bo22bo3b2o$22b3o5b2ob3o12b2o$25b2ob
3o2bo19bo$22b5obo4bo17b2o$25b2o24b2o$25bo28bo$25b2o19b3o6bo$24b2obo18b
o2b2o4bo$28bo18bo2bo$25bob2o20bo2bo$25b2o23b2o$24b2o2$24b3o$24b2o$27b
3obo$25b2o2bobo$30bo$25bo$24b3ob2o$23b2o5bo2$25bobo2bo$21bo3bobob3o$
20b2o3bo4b2o$20bobo5bob2o$28bobo$25b2obo2b2o$24b2obobo$23b2obo4b2o$22b
2o$23bo2$22bobo$21b3o$21b2o2$19b2o$18b3o$13bobob4o$12b3obob2o$11b2ob2o
$10b2o$11bo$2b3o$2bo8bo$3bo2b5o$5bo$6b2o!

Unless someone tells me it's their life's dream to clear traffic lights 2 or 3 half diagonals apart I don't think I'm going to go back and run searches with those specific clearances to try to shrink the gap between 1 (which I have definitely given up on) and 4.

...

Slighty smaller:

Code: Select all

x = 43, y = 54, rule = B3/S23
23b2ob2o$23bob4o$19bo3bo4b3o$12b3o3b4ob2o6bo$12bo5bo2bob2o5b2o$9bo3bo
2b2o2b2obo6b2ob3o$8b2o5bobo11b3ob2obo$8bob3o2b3obo3b2o4bo7bo$11b4o4bob
o7bo4b3o$11b3o10bo5bo5bo$10bobobo3b2o3bo6b2o$10bobo4bo2bobo7b2o4bobo$
10bo2b2obo19bobo$16bo4bo13bo4bo$9b2o3bo2bobo2bo8b2o3bob5o$8bo3bo2b2o4b
2o8bobo3bo3b2o$8bobo9bo10bo6b4o$8bo2bo22bo3b2o$8b3o5b2ob3o12b2o$11b2ob
3o2bo19bo$8b5obo4bo17b2o$11b2o24b2o$11bo28bo$11b2o19b3o6bo$10b2obo18bo
2b2o4bo$14bo18bo2bo$11bob2o20bo2bo$11b2o23b2o$10b2o2$10b3o$10b2o$13b3o
bo$11b2o2bobo$16bo$11bo$10b3ob2o$9b2o5bo2$11bobo2bo$11bobob3o$11bo4b2o
$14bob2o$14bobo$11b2obo2b2o$10b2obobo$9b2obo4b2o$8b2o$9bo$3o$o8bo$bo2b
5o$3bo$4b2o!

[amling]

I forget, but did you try to make eaters out of orthogonal c/3 ships? The c/3 edge-repair spaceship is an existing example. Maybe there are other ships which could eat a block one-sided, or other things like blinkers or beehives.

I had not (yet). These days it's easy enough to sketch the constraint files for this sort of thing but it's still a fair bit of manual jiggerpokery for each target object, trying to guess how many generations of interactions, how much clearance, then chasing down the actual solution, etc.

For starters here is a perfect clearance one-sided block eater:

Code: Select all

#C [[ TRACK -1/3 0 ]]
x = 45, y = 66, rule = B3/S23
2o$2o4b2o4b2o3b2o2b2o$6b2o4b2o3b2o2b2o2$28bo5b2o$27bobo4b2o2bo$22b2ob
3obo3bob2obo$20b2o3bo6b4obo$20bo4b7o$20bo12b4o$19b2o3b7ob3o$18b6o5bo6b
o$17bo3b2ob4o3bo2bobo$17b2ob2obo3bo2bo4bo3b2o$18bo4bobo2bo4bo5b2o$18b
3ob2o2b3ob2o7bo$21b4o4bo3bo2b4o$22bo3b4ob3o3b3o$19bo4bobobobo4bob3o$
19bo2bobo5bobobo$19bo2bobo4b2o4bo4b2o$20b2obo5b2ob3o4b3o$22b3o10bo6bo$
20bobo2bo4bob2ob2ob3o$16b2ob2ob3o5bo2bobobob2obo$15bo2b2o3bo6b3ob2ob2o
$15bobob2ob2o7b2o2bo4bo$15bobobo3b2o7bo2bo4b2o$23b2o7b3o2bobobobo$14b
2o4b2o10bo4bo$14bobo5b2obo12b5obo$13b2o8b2o7b2o2bo5b2o$23bobo7bo3b4o$
14bo19b3o$14bobo6b3o12bo2bo$14bobo5bo13bo2bo$15bo4b2o14b3obo$20b2o16bo
$20b3o13bob3o$36bo2bo$23bo12bo2bo$20bob2o13bobo$18b2o17bo$18b2o19bo$
18bo2b2o14b2o$19bo2bo14b2o$18b3ob2o15bo$21b3o2$21bo$21b3o3$21b4o$20bo
2b2o$20bobo$20bobo2$19b2o$19bobo$18b2o2$19bo$19bobo$19bobo$20bo!

What do you think is the order of priorities here, both in terms of usefulness or plausibility of an eater existing? From above comment I'm assuming it's blinker then beehive (but which orientation?).

EDIT: Blinker was easy:

Code: Select all

#C [[ TRACK -1/3 0 ]]
x = 49, y = 42, rule = B3/S23
o13bo$o3b3o7bo$o13bo2$15b2o$13bo4bobobo$13bo4bobo$13b7o$12bob3o3bo$9bo
b2o2b2obobo$8b4o3bo$7b2o2bo2bo$10b2o2bob3obobo$8bo3bo4b2obo$8bob3ob3ob
2o$8bo2b2ob2o2bobo$9b2o3b2o2bobo2bo$10bobo6b2obo5bo16bo$10b3o3b3obo5b
2o4b3ob3o2b2ob2o$9bo4b3obobo5b2o4b2o6bo3bo$5bo3b2o3b9o11b2o2b3o3bo$4bo
bo3bo3bo6b2o3bobo3bob2o8bo$4bobo4bo8b2obo2bo2bo2bobobo2b3obo2b2o$4bo8b
2ob4o6bobo2bo3bob2o6b3o$13b2ob2ob4o6bo2b8ob3ob2o$3b2o7b2o8b3obob4o10bo
5bo$4bobo4b3o4bobo2bo4bobob2obo4bob2o4bo$4b2o2bo3bo5bo5bo4bo2b2o6b2o6b
o$9bo9bo5b2o7bo5bo2bo2bo$5bobobo2b2o5bo2bo18b2o2b2o$5bob3o13bo$5bob3o
10b2o$5bobobo10bobo$9bobo7b2o$4b2o2bo2bob2o5bobo$4bobo4b2o8bo$3b2o4b3o
$9b3o$4bo$4bobo$4bobo$5bo!

It can't quite eat both phases of blinker. I might try for that next.

[Sokwe]

here is a perfect clearance one-sided [c/3] block eater...

Blinker was easy

These are great! Can you show/explain the setup for the block-eater case? I don't understand some details like how you enforce no cells in the first column of the ship until the interaction point but then allow cells in that column below the interaction point. There's a partial result for a c/3 p15 rake that I want to see if I can complete.

[hotcrystal0]

Question: does an Eighthmax exist, and if it doesn’t, how would one be made?

[amling]

here is a perfect clearance one-sided [c/3] block eater...

Blinker was easy

These are great! Can you show/explain the setup for the block-eater case? I don't understand some details like how you enforce no cells in the first column of the ship until the interaction point but then allow cells in that column below the interaction point. There's a partial result for a c/3 p15 rake that I want to see if I can complete.

Sure, see you shortly in the purgatory of the amling search program principles thread.

[amling]

Question: does an Eighthmax exist, and if it doesn’t, how would one be made?

A less-than-quarter max by way of the obvious p2 x (2, 1)c/6 edge (either side!) is among the top three on my wishlist right now (second only perhaps to 2c/5 against-the-grain greyship or 2c/6 against-the-grain greystretcher) so I have tried my absolute hardest to make it happen with no luck.

I have not tried particularly hard for eighthmax as the most plausible choice of angle is going to require a 2c/8d (or multiple) edge and then corner. I'm not aware of any obvious candidate for such an edge and even if it was actually 2c/8d (instead of a multiple), finding a 2c/8d front corner is still gonna be a very tall order. On the other hand it would have period division open as an avenue for solving and c/4d is quite tractable.

[dbell]

> For starters here is a perfect clearance one-sided block eater:

After a quick effort I reduced one of the arms slightly.

Code: Select all

#C A c/3 period 3 spaceship which can eat blocks from one side.
#C This is a smaller version of a previous ship.
x = 54, y = 32
30bo$28b3ob3o$24b3obo6bo$23bo5bo3boo$11boo10boboo17bo$10bob3o9bo17b4o
5bo$9boo3bobb3o3b4o14boo3bo3bobo$6b5obobo5boboobobbo6b3obbo4bo3bo3bo$
oo4bo3b3obbo4bo7bo6b3o5bo5boboo$oo3bo4boobb3oboob3obo3bo4bobbobbo4bobo
$5bo4bob4o4boob5ob3obo5boo4bo$9bobo3bob3obobobboobbobbo9bo$5b3obobobo
8bo6bobobo10bo$5bobobobobboboo$4booboboboobobo$3bo3bobo3booboo$4boobob
oo4boobboo$7bobobbobobb4ob3o$7bo3bobbobo7boo$6bobbo6bobobobob5obo$5boo
boo3boboo3boboo3bobboo$3booboboobo6bobo3bobbo4bo$3b4obo3bo4bobob6o5bo$
5bobboboo3bo6bo7boboboob3o$6bo8b3o5boobboobbo3bo4booboo$4boo9b3o4bobo
4bobobob3o5boo$12b6obboboo3bobobobbobb4obobbo$12boo5boobooboobbobo3bob
o$19boo5boobo3bo$21bobo5boo$27bobbo$29bo!

More improvements can probably be made.

BCNU,
-dbell

[dbell]

I added a glider synchronization convoy to the front of the LWSS creating convoy.

Code: Select all

#C A diagonal c/4 convoy which creates a forwards LWSS (or MWSS).
#C This takes one input glider, duplicates it, then uses the gliders
#C to produce a ship and a backward glider which later hits the ship.
#C The backmost spaceship perturbs the collision to produce a LWSS.
#C If that spaceship is advanced by one generation a MWSS is produced
#C instead.  This reaction has a minimum repeat time of 552 generations.
#C David I. Bell, 6 February 2024
x = 901, y = 760
bboo$bbobo$bbo$5bo19bobo$5boo18boo$5boo19bo$4boo$ooboo$o4bo$ob4o4boo$
4boo3boobo$4boo4bo$4boo4bobo$6bobboobo$5boo$5bo4bo3bo$6bo4bo4boo$12bob
o3boo$13bo5b3o$16b3o$18bo556boo$19bo3bo539b3o9bobo$18bo544bobb3o6bo9bo
$19bobbo541bobo16boobo$20bo548bo4boobbo3boobbo$567bo6boobboboobbo$569b
oboobo3b5o$578boo$21boo547bobb6o$20boo549b7o$22bo550b3o8boo$583b3o$
582b4obo$580boo6boo$580boo5boo$580bobobboboo7boo$580b5obbo7boobo$580b
oo3bobboo5bo$580b3obo3bo4boobo$581bo3boob4ob3obo$19boo566bob3o$19bobo
563boo4bo3bo$19bo569bo7bo$20boo574b3o$20bobbo563bobo5bo$20bo566boo5boo
4bo$22bobo562bobo3bo6boo$26bo557boobobobbobobo3boo$24bobbo555booboob3o
bbo$24bobbo557boboobobbo$26b3o562bobo$22b3ob3o566bo$18b3oboobb3o565bob
o$18bo7boo$19bo6boo$22b5o$24boo$23boo$23boo$22bobo$21boo$21bobo$20bo$
21boo5$199boo$187b3o9bobo$187bobb3o6bo9bo$188bobo16boobo$193bo4boobbo
3boobbo$191bo6boobboboobbo$193boboobo3b5o$52boo148boo$52bobo139bobb6o$
52bo142b7o$53boo142b3o$53bobbo$53bo$55bobo$59bo$57bobbo$57bobbo$59b3o$
55b3ob3o$51b3oboobb3o$51bo7boo$52bo6boo$55b5o$57boo$56boo$56boo$55bobo
47bo10boo$54boo48b5o6boo$54bobo47bobboo8bo7boo$53bo52boobo5boo6b3obo$
54boo12boobbo42boo3boboo$67boo5bo34bobo6boo17boo$68bobo3b4o36b3obo4bo
13bobo$68boob4o36b3o3bo4bo14bobo$68b3o4bobo34bo7bo17b3o$72bo39bo6bo18b
obo$72b5o61b3o$62boobobboobboobbobbo35bo22boo$61boo3bob3o4b4obo58bo$
62bobbo3boo4boo56bo4b3o$62bobbobboo3b3o56b5o6bo$62bo9bo59bo6booboo$53b
3o14bo4bo$53bobb4obo8bo4boo55boboo82boo$54b3ob4obo69bo83boo$56b3obbobo
6boobo4bo47bo15boo67boo5bo$70bo5boo47b5obboobo6bobo65boo5boo$63bo3b3o
6bobbo45bobboobb4o6bo69bo4bobobboo$62boo3bo10bo48bobo3boobbooboo72boo
3boob4o$68bo8boo49bo11bo73boo10bo$74boo49bobbob3o3bo89bo$73boo53bobboo
bbo4bo5bo73bo$75bobo48b3obbo3bo9boo73bo3bo$75boo3bo46bobobob3oboo6bob
5o67booboo$75bo3boo46bo3b4o3bobboo5bo4bo65bo3boboo$75bo3bobo45bobo3bo
7bobbobbo5bo66boob4o$75bo57bo6bobboo10bo69boobbo$79b5o48bo9bo6booboobb
o69boobo$76booboobb3o47bo14boobboo3bo69bo$84bo65bobo31boo41boo$78bo3bo
boboo64bobbobo26bobo40b3o$79bo72boo3bo26bo42boobbo$80boboo69b3o29boo
44bobo$110b3o40bo31bobbo39bo3bobo$110bo44bobb3o24bo42b6o$111bo43bobbo
28bobo40b3o$113boo44bo31bo$114bo46boo26bobbo$162bo3boo7boo12bobbo$111b
o53boo8bobo13b3o$108b4obo54boo5bobo9b3ob3o$108bo4bo48b6o8b3o4b3oboobb
3o$109bo4boo46bobboobo7bobo4bo7boo$111bobb3o32boo13bo4bo6b3o5bo6boo$
115boo32bobo10bo6bo6boo9b5o$112booboo32bo11bo15bo11boo$113boboo35bo7b
oo3bo5bo4b3o9boo6b6o$113bobo36boobboobobb3o5b5o6bo6boo6boob4o$114boo
40bo5bo7bo6booboo5bobo5bobboobo$156bobo3bo23boo6boo3bo11bo$154boboo3bo
8boboo12bobo4b3o3bobo8boo$125bo27booboo13bo13bo7b3obbobobobo5bobo$124b
oo27bobbo7bo15boo4boo14bobo6bo$124bob5obo22bobo5b5obboobo6bobo12bob3o
3bo3b6o$127bo3b4o20bobboo3bobboobb4o6bo15b3ob3o5bo3bo$126bo3bo34bobo3b
oobbooboo16bo3boboobobob3o$125b3o38bo11bo23boo7boo$126bob4o31bobbob3o
3bo27b3o6bobo$119bo5boo3bobo33bobboobbo4bo5bo25bo90boo$118b5oboobob3o
bb3o27b3obbo3bo9boo16boo6bobboo75b3o9bobo$118bo8b3o5boo28bobobob3oboo
6bob5o11boo5boboo3bo73bobb3o6bo9bo$126boobbo34bo3b4o3bobboo5bo4bo7boob
obobboo5bo75bobo16boobo$118boboob5obboboo31bobo3bo7bobbobbo5bo6boobo4b
o3bo4bo79bo4boobbo3boobbo$110booboo4bo5boobboo40bo6bobboo10bo4bo3bobb
oo35b3o48bo6boobboboobbo$110bob3o55bo9bo6booboobbo4bo6bo35bo52boboobo
3b5o$110bobboo3boo7boo3boo37bo14boobboo3bo49bo58boo$117boo8boo4bo54bob
o17b3o31bobbo50bobb6o$114bo3boo9bo3b3o54bobbobo13boo32bobbo50b7o$114bo
3b3o3boobbo4bobo54boo3bo48bo54b3o$118bo5bo8bo57b3o52bobo$119boo3bobo9b
o54bo56boo$131bobb3o56bo55bo$130b5o58bo54boo$130bobbo113b3o$132boo20bo
87boobooboo$133bobboo15boo87bo3boboo$130bo4boo16bob5obo80bob3obbo$131b
oboboo19bo3b4o83boo$133boobobbo15bo3bo86b3o$134bo4bo14b3o$139bo15bob4o
$134bobo4b3o4bo5boo3bobo83b3o$136boobo7b5oboobob3obb3o79b3o$139bo7bo8b
3o5boo$155boobbo84boo$147boboob5obboboo81bo$139booboo4bo5boobboo162boo
$139bob3o177boo$139bobboo3boo7boo3boo152boo5bo$146boo8boo4bo151boo5boo
$143bo3boo9bo3b3o90boo59bo4bobobboo$143bo3b3o3boobbo4bobo90bobo60boo3b
oob4o$147bo5bo8bo92bo8b3o51boo10bo$148boo3bobo9bo92bo3booboo63bo$160bo
bb3o92boobo62bo$159b5o97b3o62boo$159bobbo$161boo95bo3bobo4bo$162bobboo
90boobob3o3b5ob4o$159bo4boo91bo3bo8b3o4b3o$160boboboo90boo5bo3bo4bob3o
$162boobobbo87bo6bobbobbo6bo$163bo4bo88bo8bo10bo3bo$168bo94boboobo7bo$
163bobo4b3o89boo13bobbo$165boobo93bobo13bo$168bo$264bo$262boo$$262boo$
262boobobo$265bo3bo$262boo5bo$264b5o17$303boo$302boo3bo$304boboo$306b
3o$306bo74boo$308b3o69boo$301boobo4boo71bo$301boboo3bobo73boo$295boo4b
oboo3b3o72bo5bo$294boo6bo5b3o76boobo$295bobo4boo4bobo77bo3bo$295b3o4b
oobboo76boobb3o$295boo6bobo78boobo$297bobo3boo3bo63bo13bo3bo$303b4o64b
oo11boo5boo$299bobo69bobo10b3o$301b4o70bo7boboo$301b4o69bo3booboobobbo
$302boo70bo3boob3o$380boboo$376bobbo4bo$376b3o$375bobbo$376bobobo$381b
o$377bo3bo92$492b3o$492bobb3o$493bobo$498bo$496bo$498bobo$491boobo6bo$
490boo3bobbobbo$484b3o4bobbobbo3bo$484bo6bobbobbo3bo$487bo3bo6bobo$
484bobbo8boo$485bobbo6b3o$486bo5bo3bo11bo$488boboboobo11boo20b3o$490b
oo9bo5bobo19bo$494bo5boo28bo$500bobo3boobobo20boo$491bobbo9bo7boo17boo
$503bo4bo5boo$472boobo27bobbobb6o15bo$472bo3bo51bo4bo$472bo4bo49b3obob
o$474boo50booboo$476bobo46boo$526bo$471bo6boo$470b5o4bobbo42bobo$464b
oo4bo6boo45b3o$464bobo11bo45boo$464bo5boboo6bobo$465boo4bo4bobo43boo9b
3o5bo$465bobbo6b3o43b3o9bo6boo$465bo6booboo39bobob4o12bo3bobo$467bobob
obbo40b3oboboo5boo3bo$515bobbo8boo5boboboboo$469bo4bo54bo4boo$470b4o
40boo15bobo3bo7boo$466boo30boo8boo3boo6bo8boobo3boo3boobo$465boo30boo
8boo3bo7boo3b3obbo7boobboo$467bo31bo8bobb4o5bobobbo3b3o6boobboo$469boo
30boo4bo20bobo7boo$468bo31bo5bobb3o11bo6bo$505booboo12boobobobo$467bo
bbo30bo6boo11bobbo$464boobo34boo4boboo8b3o$463boo4bo29boobbobbo5bobb3o
boo$465bobobbobb3o22bobbo4boo7bobbobo$470bobbo23boobboobobo6bobobobo$
467bobbo3bo25bobobbobobobbo$468bobo3bo21bo5bobb3obbobo16boo$468bobobb
oo21bo6bobbo5boboo12bobo7boo$469boobb3o21b3o3bo3bo19boo7b3obo$469bo28b
oo3bo3boobobobbo8b5oboo3boo$475boboboboo15boo7bobo4bo9bo3boboobbo$476b
oo3b3o13bobb3obo5bo3bo8boo4b3o5bo$477bo6bo13b3o3b3o7b3obb3obboo5bobbo$
481boobo14bobo6boboo3boobo3boboo6boo$482boo21b3o11bo5bo7bobbo$482boo
21boo8boo4bo7boobo$482boo21boo8bobo3bo3boboo$483bo31bo6bobo4boboboobo$
522boo12boo$536boo$538bo3bo$538b3obo7bo$543bo5boo$538boo9bobo$540bo$
552boo$552boo$$548boboo$547b4o$547bo3boo4boo$552bobb3obo$559bo$551boo
4bo$551boo4b3o$552bo3bobbo$552bo5b3o$553boo3b4o$561b5o$563b3oboo$560b
oobbo3bo$552b3o13boo$552bo12booboo$553bo13b3o$555boo9bobo$556bo10bo$$
553bo$550b4obo$550bo4bo5bo6boo$551bo4boobboo6bobo$553bobb3obobo5bo38b
oo$557booboo44boo$554booboobboo37boo5bo$555boboo40boo5boo$555bobobbobo
38bo4bobobboo$556boo4boo39boo3boob4o$564booboobo32boo10bo$564bobboobo
44bo$563boo6bo37bo$568boobo39boo$571bo$568bobbo$571bo$569boo3$569bo$
568b5o$568bobboo$570boobo$$573bobo$$566b3o6b3o$561bo4bobb3o4b3o$560boo
5boob5ob3o$560bobo3b3o4booboo$572bobo$562b3o6bobbo48bo20boo$561b3o7bo
50boo20bobo$563bobob4obbo42bo5bobo19bobo$565booboo45boo28b3o$565b6o44b
obo3boobobo18bobo$619bo7boo16b3o$618bo4bo5boo14boo$618bobbobb6o16bo$
640bo4b3o$639b5o6bo$639bo6booboo$$639boboo$640bo$633bo15boo$632b5obboo
bo6bobo$632bobboobb4o6bo$634bobo3boobbooboo$635bo11bo$632bobbob3o3bo$
635bobboobbo4bo5bo$633b3obbo3bo9boo$634bobobob3oboo6bob5o$634bo3b4o3bo
bboo5bo4bo$634bobo3bo7bobbobbo5bo$640bo6bobboo10bo$639bo9bo6booboobbo$
640bo14boobboo3bo$657bobo$659bobbobo$659boo3bo$660b3o$660bo$662bo$662b
o3boo$665boo$667bo$669boo$668bo5bo8bo$672boobo6boo$673bo3bo4bobo$669b
oobb3o8bo$669boobo12bo$657bo13bo3bo6boboo$656boo11boo5boo5bo$656bobo
10b3o$660bo7boboo12boobo$659bo3booboobobbo4b3o3boo3bo$659bo3boob3o8bo
bb5o4bo$665boboo9booboo3boo$661bobbo4bo7b3o$661b3o$660bobbo24bo$661bob
obo4b3o4booboo5boo$666bo3bobb3obboo7bobo$662bo3bo5bo10bo$671boo5bo3b5o
$671boobboo4boboo$671boo3bo5booboo$672bo3bo3b3o7b3o$674b3ob3obo7bo$
672b3obbo6boboo5b5o$673boo9boboo5boob3o$678boo8b3obboo3bo$677bo8boo6bo
3b4o$678boo9boo3bobbobboo$694bobo3boo$698bob3o$698bo$698b4o$$699b3o4$
701b3o$701bobb4o$702b7o$703bo6bo$703boo5bo$706bo$702bo3bo$705b3o$693b
oo7boobobo$693bobo3bobo3b3obo$693bob3o3bob3o3b3o$694boobo5boo$694boo4b
4o6bobbo$694boobb3obo8boo$694boo4b3o7bo$695bo16boobbo$702boo8bo3boboo$
696boo5bobobo5boobobo$703bobbo6bobo$706boboo5bobbo$705bobboboo3boobo$
710bo6b3oboo$711b3obbo5boo$708b3obbobobobob3o$714bobobb3o$709boob3o4b
oo$709bo4bob3o5boo$717boo5bobo$714boboo6bobo$714b3o8b3o$715boo8bobo$
725b3o$725boo$726bo$720bo4b3o$719b5o6bo$719bo6booboo$$719boboo$720bo$
713bo15boo$712b5obboobo6bobo$712bobboobb4o6bo$714bobo3boobbooboo$715bo
11bo$712bobbob3o3bo$715bobboobbo4bo5bo$713b3obbo3bo9boo$714bobobob3ob
oo6bob5o$714bo3b4o3bobboo5bo4bo$714bobo3bo7bobbobbo5bo$720bo6bobboo10b
o$719bo9bo6booboobbo$720bo14boobboo3bo$737bobo$733bo5bobbobo$732boo5b
oo3bo$732bobo5b3o$734bo5bo$735bo6bo$732boboo6bo$733bo$$734boobo$727b3o
3boo3bo$727bobb5o4bo$728booboo3boo$727b3o$$738bo$720b3o4booboo5boo$
720bobb3obboo7bobo$722bo10bo$721boo5bo3b5o$721boobboo4boboo$721boo3bo
5booboo$722bo3bo3b3o7b3o$724b3ob3obo7bo$722b3obbo6boboo5b5o$723boo9bob
oo5boob3o$728boo8b3obboo3bo$727bo8boo6bo3b4o$728boo9boo3bobbobboo$744b
obo3boo16b3o5b3o$748bob3o15bo5booboo$748bo22bobo$748b4o20boboo$763boo
bbobobo$749b3o10booboboobo$754boo8boobo$753boobboo$754bobboo17boo$749b
oo3bo3bob4o12bobo$748boobobbo6bo14bo$750booboo4boo18bo$752b3o24boo$
779boo$754bobo4boo15boo$755b3o3bobo5boo6boo$754bo3boo9bobo3boobbo$749b
o5bobb4o7bo5b3o$748boo6b3obbo10bo$748bobo4bobo14boo$756boo18bo$750bob
oobo3bo15bobo$749boo4bo3bo16bo$749boo3bo22bo$749boobboobbo19bobo$751bo
boo3bo$755boboo9b3o8boo$755bob3o8bo10bo$769bo8boo$754boo8boo5boo6boo$
753b3o4bo3bobo5bo$753bob4obbobbo11boo$754boo4bo6bobo5boobboo$754boobbo
8b3obo4bob3obo$755bo11bobbo5bo5bo$757bob3o4b3obbo8bo$757bobboo4bo5bo4b
oboo$758bobo5bobbobobo4bo$759boobo3bobbobo4boo$761bobbo8boo3bo$757b4o
3boo11bo$756boo4boboboo7bo$758bobb4oboo$760boobbobo5boo$766bo4boo$761b
oo9bobo$772b3o$762bo3b3o3boo$762boo3b3o4bobo16b3o$764boo3bo7boo14bo$
769bo6b3o15bo$770bo7bo14b3o$778bo3bo10b3oboo$776b3o4bo$772b3obobboobo$
772bo4boboo15bo$773bo7bo7boobobb5o$788boo3boboboobo$778bo10bobbo5bobo$
777b5o7bobbo$777bobo9bo$792bo$782boo5bobbo5b3o$781boo3boboobboo4bo$
783bob4obb3o6bo$783boobobb4obboo$783bo3bobbo4boobo$783bo3boboobbo3bo$
783bobob3ob3o8boobbo$784bobbobo11boo4bo$783boo3bo3bobbo6bobo$784bo7bo
bb5obb4oboo$784bo4bo7bo3boo5boobo$789boo6boobbo4boo30bo7bo$789boo9boo
3b4obboo24boo5boobo$805bo6bo24bobo3boobbo$826b3o12boobbo$808b3oboo12bo
12b5o$827bo3b3oboob3o$811bo19bobboboboo$811bo10b3o7b3oboo$811bo10bobb
3o$823boo5boo$817b3obb3ob6o$817bobbooboo$818b3o3bo4bo$820boobo$823boo$
825boo3boo$823bob3oboo$823bo6boo41bo$817boo5boo4bo41booboo$817bobo4bo
5bo37boboboobbo$817bo6bo42b3obo$818bobobbooboo38booboobboo$818b3obboo
bbo37boo7b3o$822bobo39boo12bo$817bobbob3o40bo12bo$818boboobbo50bo3boo$
819bobooboobo36bobo9booboo$824bo27boo9b3o10booboo$826bobo19bo3bobbo6bo
b3o9b3o$823b3obo12boo5bobobbobbo5boobobbo9boo$822bobo8boo5bobb3obo3boo
bo4bobbo11boo$822bo3bo5boo6bo5boo5boo3boobbo4boobbobboo$822bo3bob3o3bo
6bo6boo5b3obo3boobboobobob3obbo$822bo4boo7boboo7bo3bo3boo13boo4boobo6b
3o$825bo9boobo5b3o4bo5bob3o7boo6bobboo3bo$823b3ob3o9boo4boobo5boboobo
18boo4boo3bo$825boboobo4bobobbo8boobbooboobboo9bo7boo3bobobo$826bo7boo
bob3o7boo5bo14bo8bo12bo$827bo6b3o3bo5boo5b4o25b3obo5boo$828boo4bo7boo
bbo8boo23boobo8bobo$830boboo11bobboobo4bo22b5obobo$825b6obbobo7bo4boob
o26bo3bo4bo4bobo$825bo3bobo4bo11boobo25bobbobb3o3b3obbo$826bobbo3bo43b
obbo4b3obobboo$829boobbobo4b3o36bo6bo7boboo$829bobobbo5bo49b4o4bo$843b
o46bo6boo$830boo4bo3bobbo39boboo5bo$831boobbobbobbobbo37booboobobo8boo
$831b4o3bo3bo14boo23bobo5boo$832boo4boo4bobo3b3o3bo33bo$838boo6boo3boo
bbo3bo27boo$847bo4bobobboo30boo$846boobbo6bo31bobbo$845boo43bobo$844b
oo11b3o32bo$846bo11boo$858booboboo$861bobobo$859bobobo!

Here is the convoy producing a LWSS stream from a glider stream.

Code: Select all

#C A diagonal c/4 period 576 forward LWSS rake.
#C This uses a period 576 glider rake as input to a convoy which uses
#C the gliders to create an LWSS stream.  If the backmost spaceship is
#C advanced by one generation a MWSS stream is produced instead.
#C David I. Bell, 6 February 2024
x = 1034, y = 1358
70bo$69boo$69bob3o$73bo$68bo$65b4obobobo$65bo5bobbo$66bobb4o$65boobboo
$59boo4boo$59bobbobboo$49bo3bo4bobboobbobbo$48b5obbobo4bobbo$48bo6b3o
3bo4boo$46bobobb4oboobbo13boo$45b3o3boo17b3ob4o$45bobbooboo15boo8bo$
26bo10b3o10bobboo13bobbo6bo$25boo10bo6bo4boo3bo14boo$bo17bo5bobo10bobb
3oboo3bo4bo10b4o4boo$6o12boo20bo4bo7boobo8boobbo$o7boo8bobo3boobobo11b
obobbo6bo3bobb3ob3o$bo6bobo11bo7boo8b3o9boo6bo5bo$3bobobbob5o6bo4bo5b
oo5boo12bo8bo3bo$4bo6bo9bobbobb6o4boobb3o5boo4boo3boboo$12boo23bobb4o
4boo9b3o24b3o$15bo21b3obo3boboob9o5bo8bob3o8bo$15bobo20bo6bobo8bo8boo
4b3o15bo$31bo5boobobo4bo22boobb5o8bobbo$17boboboob3o4boo4bobboo3boo11b
oo9boob3o3bobbo5bo3bo$22bo4boobbobo5b6obo5boo4bo9boo3bobboo3bobboobboo
$19bo12b4obo5boboob3obbobbo3bo8bo4b4o4boobbo$29bo5boobbobo5b3o4b3obbob
3o10bobo4bobbobo$26bob4o5bobobo10b6o3b4o5boo8bo5bo$21bo3boo7b3o4bo3bob
o4bobobobboboo3bobboobbo3b3o4boo$13boo5b3obbo9b3o9bo5b3obboo6boobbo10b
3oboo$12boo5b3o3bo5bobobboboobo11boobb3ob3o3bo8boobb6o$14bo4bo11b4o21b
o3bobb3obo8booboobobobobo$16boo4bobo11bo20bo9boo7bobboo3bo3bo$16boo5bo
bo6bobb3o25bobbobo6boob3o3boo$17bo5bobo7bobbobobo19b4o4boob4obobboo$
19bobbo11bo5bo19bo3bo4bobbo5bo$14boobbobbo17boo20bobo5boo$13boobbobboo
bbo$12bo3bo4bo3bo18bo28bo$12bobb3obboobo18bobo27boo$13bo5bob3o3bo15boo
27bobo$23bo$14boo8bo23bo26boo$14bobo7bo21bobo26boobb3o$17bo7boo20boo
30boobo$14bobbo7boo50bo4bo$14bobo7boo26bo23b3o4bo$20b3ob3o23bobo23bo5b
o$20bo5bo24boo10boo12bobobboo$21bobb3o35boo$56bo7bo9b3o$26bobo25bobo9b
oo6booboo$25b3o27boo9boobboobbob3o$20booboo3bo40boobobboo$19boo5bo33bo
9bo4boo$21bob3o32bobo6boo3bo$59boo6boo$67bo$23b3o38bo3booboo$23bo31bo
6bobo5bobo$22boboo28boo7boo$21boobo29bobo10bo$21b5o33bo8boo$20bobbo33b
oboo5bobo$20b3o33boo3b3o3boo$22bo30boo6boobbo7b3o$21bo30boo5bo13bo$21b
o25boo5bobobobbo5boob3o3boo$42boobboo8booboboo9bobobbo$42bobo3bo5bo4bo
bbo9boo3bo$42bo10bo3bo3boo6boobbobbo$43boo4b3obo3bobboo4boobbobb3o$43b
obbo4boobbo4bobboobbooboo$43bo7boobo14boo8boo$45boboboo3bo3b3o12bo4bob
o$46boob3oboo3b4o10bobo3boo$50bobo5bobo12bo$45boo5bobo5bobbo$48boobboo
6bo$43boo6b6o3bo3bo28boo$43boobobb3o3bobobbo14bo14booboo$44b4obboboo3b
o5boboo7bobo12bo4bo$45boo8bo5b3o10bobo15bo$46bo6boo8bo11bo11boo3bo$50b
oo8boobbo21boboboo$44bobo3bobo6b6o21bobbo$43boo5boboo5bo5bo20bo3bo$43b
obo9boo6bobo15bo5b4o7boo$39boo4bo5boo3bo7boo14bobo6boo7b3o$39bobo3boo
4boo27bobo14boobboo$39bo6boo5b3o10bo14bo14bo3boo29boobo$42bo7boobobo4b
oobbooboo28b4o30bo3bo$42boo7boboo4boo3b5o28bobbobbo27bo4bo$51bobo7bobb
oboo29boobbobo8boo19boo$50boob3o7booboo28boo3b3o7bo23bobo$47boo5boo8bo
47boo$47boo3bob3o7bo15boo18b3obboobo21bo6boo$46bobobobo11boo13boo15boo
b3o7bo19b5o4bobbo$45boobboo15bo14bo7bo8bo11bo12boo4bo6boo$44b3obb3oboo
4boo28boo14boobboo12bobo11bo$44bo5boob3obboo4booboo19boboo15bobo13bo5b
oboo6bobo$43booboo5bo6bobbo24bobo17boo14boo4bo4bobo$44bobo41boo19bo14b
obbo6b3o$45bobooboob3o5boobbo28bo4bo6bob3o13bo6booboo$45bobb4ob3o7bo
30bo3boo26bobobobbo$45boboo48bobbo$45bobobo4boo37b3o3bo28bo4bo$47bo5b
oo38boobo8boo22b4o$41b3obboo6bo42b3o8bo$41bo57boobboo4boo$42bo5b5o45b
3oboo6bo$44b6o44bob3obb3obboobbo$45b4o46b3o8boobo$45boobb5o42bo44b3o$
31boo12b3o4b3o86bo$30boo13boo7b3o77b3o6bo$32bo11bo7bo3bo65bobo9bo6bobo
$34boo9bo3boo69boobboobo7bo4boob4o$33bo12bobboobbo49boo15bo3boboo9b4ob
5oboo$43b4oboobboo49boo15boobob3o10boo7boobo$32bobbo7bo5bobo69boo$24b
oo5boobbobo4bobbo3bo57b3o$23boo5bo5bobobboboo5boboo53bobbo$25bo4bobo4b
3ob4o10bo51boboo15bo$27boobbo9boo8bo3bo49boo15bob4o3bo$27boo10b3o9boo
52boo16boobbooboo$40boo10bobobo47bobbo16boo3bobo$50bobo3bo51bo16b4obo$
49boo5bobboo45b3o17bo3bo$49bobbobbo3boo46bo18bo3bo$46b3o4boo4bo67bobo$
46bo13bo67bo$47bo10boo$52boo4b3o$51boo6boo66boo$53bobbo70b3o$55b3o66b
oobboo4b3o$55boo66b3o$47boo5boo$46boo6boo$48bobbooboo72boo19boo$50boo
75b3obb3o13boo$50boo75bobo20bo$129bo$127bo27bo$127b3o24bobo$50b3o101bo
boo$50bo102boobobo$51bo102boob3o$50b3o101boobobo$50b3oboo97boo3bo$153b
3oboo$157boo43boo$53bo97boo4boo42boo3bo$52boo87bo8bobbo49boboo$52bo88b
o8bobbo51b3o$53b3o84bo10bobo51bo$157boo48b3o$53boobo9boo7boo67boo11boo
41boobo4boo$53boo11bobo4boobo66bo56boboo3bobo$55bobo8bo6b3obb3o113boo
4boboo3b3o$69bo3bobbobbob3o82b3o24boo6bo5b3o$57b3o9bobobboboobb3o86bo
24bobo4boo4bobo$69bobobbobo4boo84bo26b3o4boobboo$50b3o6bobo6b6o34bo59b
obbo11bo10boo6bobo$50bo15b3o4bo16boo16bobo58bobo4b3o3bobo11bobo3boo3bo
$51bo9bo3bo8bo9boo4bobo6b4o5boo50boo13bobbo3bobo4bobo10b4o$53boo5boo3b
obbo4boobbo5boo5bo6bo5bo56boo16bo4bo3bo4bo5bobo$54bo5boo3b3obb5o10bo
10boo3b3o70bobo9boo12b4o$60boo7b3o4b4o3b3o9bo5bo71booboo8boobo3bo6b4o$
51bo14bobbo5b7obbo4boob4obo76booboo13bo8boo$48b4obo5b3obb3o3bo15boboo
bbo4bobo77boboo7b4o$48bo4bo6boobboo15bobbob4o87boboo8bo$49bo4boo4boobb
oo19bobo88bo$51bobb3o5b3o24bo86booboo$55boo6b3o113boo$52booboo3bo3boo
107bo$53boboobb3obo3b3o105bo$53bobo3bobboo110boo$54boo6boo3boobbo$64b
oobboobo$62boo4bobo$56bo4bo5bobobo$48boo5boboboobboo3boo$47boo5boo3bob
oob4o$49bo3boobbo3boo8bobo$51bo6boo5boo5boo$50bo6boo5bo7bo$49boobbo9b
oo$49b3obb3o4boo12bobo$49bo6boobbo15boo$45b3ob3o7boobo13bo$45bo4bo9bob
5o$47bo8b5obboo14bobo$42b4oboo6bo24boo$42bo3booboo4bo5bo18bo$43bo5boo
4bobo4boo$42boobo3bo7boo24bobo$42boo4bo4boob3obb6o17boo$45bobb4oboob3o
bboo4bo16bo$43bobobbooboboobboo49bo$43bo5b3o5bo29bobo18bobo$51bo5boo3b
o3b3o19boo18boo$43bobo11bo3boobobbo20bo$41b4o11boobboobbo$40boo13b3obb
obobbobbo22bobo$40bo11boob3o4bo5bobboo19boo$42bobo6boo3bo5bobbobooboo
20bo$41b3o9b4o5bo4bo3bo$42bo10b4o9b6o23bobo$40b3o8boo10boo3bobboo23boo
$36boo4boo6bo6boo6bobobo26bo$35boobo5bo5bobbo11boo22boo$36bobb3obo6bob
oo11b4obbo17bobo7bobo$35b3o9boo11b3o3boobobo17bo10boo$31b3obooboo6boo
3bo7bobbob3o4bobo18bo7bo$31bo14bobbo8bo4boobo4bobo18boo3bo$33bobbo8boo
11bo5bo6bo20boobbobo6bo$32boo4bo8bo12boo8b3o20boboobbobboobo$33b4o8boo
10boo3bo7boo21boobob3obbo$45boo10bo4boo6boo21bobo3boo$47bo11bo8bo24bo
5bo$46boo8boobo3bobboobboo7b3o17boo$46bo12bo3boobbo11bo12boo$47bo10b4o
bboobobbo9bo10boboo$64b4o4bo9b3o5bo4bo$64boo5bo11b6oboo3bo$61b3obo4bo
15bo4bo$62boobobbo16bobo4boo$61b3obo18b3o$61bobboo3boo12bo$61bo8bo13bo
bo$49boo5boobb5obo18b5o$48boobo3boo3b4o3b3o16boobo$49bo7bobobo$49bobbo
7bo$49bo3bo5boo47bo$49bobbo55bobo$108boo$$50b3o$50bo$51boo$52boo$52bob
o10bo7boo$52bobo9boo6bobbo$52bo11bobo4boo4booboo$55boo14bobbobbo$67boo
4boo3bobbo$56bobo8b3obbobo4boo$49boo20bo$48boo8bobo4boo3bo4bo13bo$50bo
13boo6bobo7boo4boo8boo$52boo4bo4b3o5b5o6bobo3bobo5booboboo$51bo6boo4bo
bbobbo4bo6bo12b3oboo$68boo4b3o11bobobboobboo$50bobbo4bo8bo4bo4boobboob
o3bobobbob3o$47boobo7bo4b3obboo3bo5b4obobbobbobbobobo$46boo4bo5bo3boo
15boob3oboobo$48bobobbo5bo15bo11bo$53bo5bobbo23bobo$50bobbo7boo$51bobo
8bo$51bobo3b3obbobboo$52boo4bobo5bobo$52bo6boo4boobbo$60bobbobbo3bo$
60booboo3bo$61bob3ob3o$46boo5b3oboobobobo3bo$46bobo4bob3o7bo3bo$46bo5b
obbo3boboobbo5bo$49boboobobb3o9b3o$48boboob3obboob3obo$48bobboboobbobo
14bo$48bobobboo4boo14bo$47bo11bo13b3o$44boobboo5boobobobbo$43boo3bobo
7b3o17bo$44bo10b3o3boboo14bo$41b3obo8boo4boo15b3o$40boo3bobo5boo5boo$
41bo4b3o4bobo4bo21bo$41bob3o9bo27bo$41bob3o5bo3bo3bobboo17b3o$40bobbo
bbobb4obbo3booboboo$43bobboobo5bo5b5o20bo$41boo5bo4bobo5boobo22bo$42b
oo5bo3boboo3b4obbo18b3o$41b3o6bo4bo6bobbobo$40bo14bobboo4boo24bo$38boo
14bo3bobbob3o25bo$38bo4bo6booboo5bo5bobboo18b3o$40bobo7bo3bo6b3obo3bob
o$39b3o8boboo7b3obo3bo24bo$53bo7boobbooboobo23bo$50bo4bo6bo3bo3bo22b3o
$34boob5o7boo5bo9bo$34bob4obbo5b5o3bo6boo3bo29bo$34bo7bo5bo15b4o31bo
33boo$33boo5bo4boobo10bo7b3o20bo6b3o33bobo$30boo4boo7bob3o8b3obbo5b3o
17boo35boo5bo$29boo3boboo6bobbo9boo3b3o6bo17bobo10bo23bobo3boobbo$31bo
3boo7bobo9boo4bo6bo33bo22bo11bo$31bobbobo7bo11bobo10boo21boo7b3o25bo3b
oo3b3o$31boo22booboo3bo5bo22boobb3o30boo4boo4bo$34boo7boo3bo8booboo7bo
26boobo35b7o$43boo3bo6bobobbo7bo25bo4bo5b3o28b4o$44bo10bobob3o3b5o23b
3o4bobb5o42boo$44bo10boboboobboboo26bo5bo3boo3b3o38boobo$45boo10boo4bo
4bobo9boo12bobobboo7boo40bo$63bobb4o9boo69bobbo$62bobb5o11bo9b3o56bo3b
o$58boobobboo17boo6booboo54bobbo$60bo3b3o16boobboobbob3o$60bo3boo20boo
bobboo$59bobobob4o18bo4boo51boobobb3o$59bo3b3obbo15boo3bo12boo41boboo
bbobb3o$54boo4b3obobo17boo15boo3bo38boboo6boo$54bobboo25bo18boboo39bo$
54bo4bo6boo17booboo15b3o38boo$56bobbo27bobo15bo40boo$57bo49b3o28boobo
3b3o7boo$58bo41boobo4boo28bo3bobbobbo5boo$100boboo3bobo28bo4bo4boo5boo
$94boo4boboo3b3o30bobobbobbo3b3o$93boo6bo5b3o30boob4o3bob3o$74boo18bob
o4boo4bobo30boobobo$74bobo17b3o4boobboo32bobo6boo8boo$74bobo17boo6bobo
34bobbobobobo9bobb3o$75b3o18bobo3boo3bo36bo3b4o6bob4o$75bobo24b4o33boo
3bo3boboobboo3bo3bobo$75b3o20bobo40bo11boobbo9bo$75boo23b4o29bobo9boo
7b4o7b3o$76bo23b4o29boo10boo9bo4b7obo$76boo23boo31bo26bo$75bo86bobbo3b
o$76bobo86bo3bo$77bo87bobbo$79bo19bo$77b3o9b3o6b4o64bobo$77bo11bo7boo
4bobo61bo$79b3o8bo4boobbo3b4o$81bo10boo4bo4b4o$81b3o9boboobo$74boo7bo
16boo$74bobo6boo6bobboo$74bo9boo4b6o3bo8bo4b3o8bobo$77bo6boobboobb8o7b
oo4bo7boboobo$77boo5bob3o11bo6bobo4bo5bobobobbo$77boo5boboo5bo3bobbo
18bo$76boo5b3o3bo3boobbobbo6bobo3b3oboboboo3bo$72booboo6bobo4bobboo3b
7ob4o3boo7bo$72bo4bo6boboobo10b5o7bo5bobbo$72bob4o6b4o13boo7bobobo$76b
oo9bo24bo$76boo7boo$76boo4bo4bo$78bo4bo3bo3bo$77boo4bobob3ob3o$77bo6bo
boo3bobbo$78bo8bo4b3o$86bobobbobobo$85booboo$72bo6bo3b3o3bobbobo$71boo
5b3oboo3bo5bo$71bobo3bobbobbo6b4o$77bobobboobboo3boo3bo$74boobbo4bo5bo
7boo$73b3o3bobobobbobbo6boo$73bobobbo6bo$78bo5bo3bo11bo$69boob3o6bobo
4bo12boo$69bo5bo4boobooboboo10boo$69bo5bo4boo4boboo$66boobobo14bo17bo$
66bo6bo4boo6bo18boo$66bo4bo6boo5bo18boo$67boobobobo5bo4boo$66bobobb3o
4boobbobooboboo17bo$66boo3boob6o5bobo21boo$66boo11bo6boobbo17boo$67bo
4boboboboo9boo$74bobobobo5bo3b3o19bo$67boo5bo5boo3b3obo23boo$66boo12bo
bobobo5bo19boo$64booboo15boboboobo$63boob3o7boboo6bobbo5bo20bo$65bo9b
4o9boboboboo21boo$65bo9bobo7bobobbobobobo19boo$65bo21bobbo3bo$76b3o9b
oo5boo23bo$60bo14b7o6booboo28boo$59b9o5boo4boo8boo29boo$59bo5b3o5bo17b
3o65bo$62bobbo5bobo10boobbo35bo33boo$55booboobbo7b3oboobo5bo4bo5boo18b
3o8boo25bo5bobo$55bo5bo8bo11bo3boboo5boo17bo9boo25boo$55bo4boo7bobo10b
o11boo19bo35bobo3boobobo$57bo12boo9bo6boo5bo21boo9bo26bo7boo$56bobboo
8boboo8boboo33bo3boo5boo23bo4bo5boo$56bo14boo7bobbobobo5bobo25boo4b3o
24bobbobb6o$59bo8booboo12bobbo4bo30boo$69boboo7b3obbo4boobo24b6o51boo$
69bobo8b3obbobbobo3bo23bobboobo4boo44bobo$70boo13b4o16boo13bo4bo3boo
44bobo$82bob4obbobb3o9bobo10bo6bo50b3o$82boboo5boo12bo11bo58bobo$84b3o
3bo17bo7boo3bo54b3o$89boo17boobboobobb3o55boo$88bobbo20bo5bo58bo$84b3o
6boo17bobo3bo52bo4b3o$84b3ob3obo17boboo3bo9boobo39b5o6bo$80bo6bobo19b
ooboo13bo3bo38bo6booboo$79b4o8bobbo14bobbo14bo4bo$79bobboo27bobo15boo
39boboo$81boboo6boo18bobboo15bobo37bo$82bo81bo15boo$83boo41bo6boo28b5o
bboobo6bobo$125b5o4bobbo25bobboobb4o6bo$119boo4bo6boo31bobo3boobbooboo
$119bobo11bo32bo11bo$119bo5boboo6bobo25bobbob3o3bo$120boo4bo4bobo32bo
bboobbo4bo5bo$120bobbo6b3o31b3obbo3bo9boo$120bo6booboo33bobobob3oboo6b
ob5o$122bobobobbo35bo3b4o3bobboo5bo4bo$165bobo3bo7bobbobbo5bo$124bo4bo
41bo6bobboo10bo$125b4o30bo10bo9bo6booboobbo$158bo12bo14boobboo3bo$158b
3o27bobo$190bobbobo$190boo3bo$191b3o$191bo$193bo$193bo4$136bo$135boo$
135bobo$$138boo$138boo$$134boboo$133b4o$133bo3boo4boo$138bobb3obo$145b
o$137boo4bo$137boo4b3o$138bo3bobbo$138bo5b3o$139boo3b4o$147b5o$149b3ob
oo$146boobbo3bo$154boo553bo$151booboo541boo9boo$153b3o540boo3bo6bobo$
152bobo543boboo15b3o$153bo546b3o5bobo4booboo$700bo6boobobobo$702b3obo
6boboo$703boo7bo$154boo547boo5boo$154bobo548b5o$154bo$716b4o$715bo5bo$
355bo287bo70bo6bo$355boo286boo68boobo3boo$354bobo285bobo67bobbobbo10b
oo$715boboobo8bobo$712bobo3boobo7bobo$714b3o3boobo3bo$718boobbo3b4obo$
153bo560bo4bo3bobo5bo$152boo561bobboo3bo3b3o$152bobo$721bobo5boo$154b
3o563bo8boobo$153b3o564boo6bobbo$155bobo568boob5o$157b3o557boobboo3boo
boobboo$157b3o557bobb3obbo$160bo556bobo4b3o$157bobbo563boo$156bo3bo
567bo$152booboo3bo566bobo$151boo7bo566bobo$153boboobbo$159bo$156bobo$
157bo$156bo$155bobo$155bobo$154bo$154boo$154boo5$333bo$321boo9boo$320b
oo3bo6bobo$322boboo15b3o$324b3o5bobo4booboo$324bo6boobobobo$326b3obo6b
oboo$186bo140boo7bo$185boo140boo5boo$185bobo141b5o$$187b3o$186b3o$188b
obo$190b3o$190b3o138bo3bo$193bo135boo5boo$190bobbo136boo3boo$189bo3bo$
185booboo3bo$184boo7bo$186boboobbo$192bo$189bobo$190bo$189bo$188bobo
58boo$188bobo46b3o9bobo$187bo49bobb3o6bo9bo$187boo49bobo16boobo$187boo
12boo40bo4boobbo3boobbo$201bobb3o34bo6boobboboobbo12bo$201bob5obo33bob
oobo3b5o13boo$202bo6boo41boo16bobo$202bo5b3o33bobb6o19bo$202bobbobbo
36b7o21bo$205b4o38b3o20boboo$195boobobbo7bobbo58bo$195boboobboobo3bobb
obo$195boboo3bo5bobbobo58boobo$196bo4bo5boo56b3o3boo3bo$196boo3bo3bobo
57bobb5o4bo$187boobbo4boo6bob3o57booboo3boo$186boo4bobboo6b4o58b3o83b
oo$188boobobb3o7boo3boo140bobo$190boobbo9bobo69bo67boo5bo$197bo6bobobb
oobo45b3o4booboo5boo67bobo3boobbo$194bobbo3boo6boobo45bobb3obboo7bobo
66bo11bo$195bo4boo9bo48bo10bo75bo3boo3b3o$196bo5bo8bobo45boo5bo3b5o72b
oo4boo4bo$207boobbobo45boobboo4boboo80b7o$207bo51boo3bo5booboo79b4o$
207bo52bo3bo3b3o7b3o$209b3o50b3ob3obo7bo74b3obbo$209b6o45b3obbo6boboo
5b5o66booboo$209bo51boo9boboo5boob3o67boboboo$209boo3bo51boo8b3obboo3b
o72bobbo$209boobbo51bo8boo6bo3b4o70b3o$210b3obb3o48boo9boo3bobbobboo
70bo$212bo4bobo62bobo3boo28bo$212b4obobo66bob3o26boo41boo$212b4obobo
66bo30bobo40boobobo$215bo70b4o73bo3bo$244boo73b3o38boo5bo$243boo42b3o
bboo24b3o41b5o$245bo45boo27bobo$247boo44bo28b3o$246bo48boo25b3o$294bo
5bo8bo15bo$245bobbo49boobo6boo12bobbo$242boobo53bo3bo4bobo10bo3bo$241b
oo4bo47boobb3o8bo6booboo3bo$243bobobbo46boobo12bo4boo7bo$248bo34bo13bo
3bo6boboo6boboobbo$245bobbo33boo11boo5boo5bo14bo$246bobo33bobo10b3o23b
obo7bobo$246bobo37bo7boboo12boobo8bo7bo$247boo36bo3booboobobbo4b3o3boo
3bo6bo7boobboobo$247bo37bo3boob3o8bobb5o4bo4bobo5bobboobobbo$291boboo
9booboo3boo6bobo4bobbo3bo$287bobbo4bo7b3o13bo7bo4bo10b3o$287b3o29boo6b
o3b3obobo5bo$257b3o26bobbo24bo4boo6bo5bob3o7bo$257bo5boobo20bobobo4b3o
4booboo5boo15bobobo5boobbo$260b3o3bo25bo3bobb3obboo7bobo12b3obboo4bobo
boo$257bo3b3o3bo20bo3bo5bo10bo25bo7boo$258bobo3bo32boo5bo3b5o21boboobo
$259boboo34boobboo4boboo34boo$261bobb3o30boo3bo5booboo23bo7b3o88bo$
251b3o3boob3o5boo28bo3bo3b3o7b3o16bo6boobo77boo9boo$251bobb4o3bobbo3b
oo30b3ob3obo7bo17boobo4boo4boo72boo3bo6bobo$252boob3o40b3obbo6boboo5b
5o11bobo3bo5bo76boboo15b3o$251b3o4b3obb4o32boo9boboo5boob3o6b3oboboboo
boo4boo76b3o5bobo4booboo$244bo14bo3bobo38boo8b3obboo3bo6bo7booboo32boo
48bo6boobobobo$243b6o12bo3boo20boo14bo8boo6bo3b4o4booboo4boo32boo51b3o
bo6boboo$243bo7boo12boo20boo15boo9boo3bobbobboo12bobo33bobo50boo7bo$
244bo6bo8boo58bobo3boo14boo32b3o50boo5boo$246bobobbo8boo5bo56bob3o14bo
32boo53b5o$247bo4bo5boboo4b3o55bo53bobo$252boo3b3o6bobo55b4o$252boo3bo
bo8boo110bobo$267boo56b3o54b3o$263b3o116bo$263bobbo114bo$265bo110boboo
bo4bo$264boo3boo15b3o86booboobo$264boo3bobo14bo5boobo79bobo4bo$264b3o
bbo19b3o3bo84boo$269bo16bo3b3o3bo83bo3bo$266boboob3o13bobo3bo85bo3bo$
268boo5bo12boboo$267b3o6bo13bobb3o83bobbo$273bobo4b3o3boob3o5boo79boob
o$269boboo7bobb4o3bobbo3boo79bo$281boob3o90boo$280b3o4b3obb4o81bo$273b
o14bo3bobo83bo76boo$272b6o12bo3boo159bobo$272bo7boo12boo152boo5bo$273b
o6bo8boo157bobo3boobbo$275bobobbo8boo5bo92bo58bo11bo$276bo4bo5boboo4b
3o90boo61bo3boo3b3o$281boo3b3o6bobo90bobo7boo51boo4boo4bo$281boo3bobo
8boo96boobo58b7o$296boo93boobboo61b4o$292b3o96boobboo$292bobbo96boo$
294bo97b4obo$293boo3boo91boboboobobb3o4boo$293boo3bobo89boo9bobb3oboob
oo$293b3obbo91bobobb3obboo6bo3bo$298bo90bo11boo9boo$295boboob3o87boo7b
3o7booboo$297boo5bo94bobo9b3o$296b3o6bo89b3o12bobo$302bobo90bo15bo$
298boboo96bo$395bo$396bobo$396bobo$$395boobo$395boob4o$396bobb4o$397b
oo8$453b4o$457bo$452bo5bo$453bo3bo$450bobobobo$450boboo$442boo$442boo
$$436boobo16bobo$436bo3bo14bo$436bo4bo13boboo$438boo9boo3b3o$440bobo5b
obb3obo58boo$447bo66bobo$435bo6boo4bobbob3o58bo$434b5o4bobbobboobboo
62bo$428boo4bo6boo74boo3bo$428bobo11bo74boobbobo$428bo5boboo6bobo71bob
oobbo$429boo4bo4bobo75boobob3o$429bobbo6b3o76bobo3boo$429bo6booboo77bo
5bo$431bobobobbo65b3o17boo$504bo12boo$433bo4bo66bo10boboo$434b4o69b3o
5bo4bo$508b6oboo3bo$511bo4bo$510bobo4boo$509b3o$508bo$509bobo$510b5o$
511boobo$707bo$705boo$706boo4$512bo$513boo$512boo50$568boo$568boo32$
626boo$625boo3bo$627boboo$629b3o$629bo$631b3o$624boobo4boo$624boboo3bo
bo$618boo4boboo3b3o$617boo6bo5b3o$618bobo4boo4bobo$618b3o4boobboo$618b
oo6bobo$620bobo3boo3bo$626b4o10b3o20boo$622bobo15bo21boo$624b4o5b3o6bo
21bo$624b4o5bo6bobo23bo$625boo7bo4boob4o19bobo$636b4ob5oboo15boo$606bo
30boo7boobo14boo$605b5o54b3o$605bobboo50b3oboo$607boobo48bobbo$658bo$
610bobo45bo$660bo$603b3o6b3o43bobo$598bo4bobb3o4b3o42boo$597boo5boob5o
b3o41bo$597bobo3b3o4booboo41bo$609bobo47bo7boo$599b3o6bobbo43boo9boo5b
3o$598b3o7bo43boboo11bobo3bo$600bobob4obbo37b3obo8boo4b3o5bo$602booboo
41bobbobbo6bobo3b3ob4o$602b6o41bo11bo9boo$664bobo4boo5boo$599boo30boo
8boo3b3o15b3o4bo4b3obo$599bobo29bobo7bobb3o6b3o3boobbo7bo3boo$599bo31b
o9bo5boo4bo4boo4bo7bo$602bo31bo5boobo10bo4bobobo7bo4bo$602boo30boo4bob
obbo10b7o9bobbo$602boo30boo3bobobbo10boobo3bo$601boo32booboobo$597boob
oo34b4obo12b3o$597bo4bo29boo5bobb4o3boobboo$597bob4o4boo23boobbo3bob4o
bboobobo$601boo3boobo21bobbo5bobooboo3bobbo$601boo4bo22booboobboo3bobb
o3bo$601boo4bobo20boobobo3boobbobo17bo$603bobboobo20booboo5b3oboobo14b
oo8bo$602boo26bobb4o4b3obb3o12boo7boobo$602bo4bo3bo22boo7b3oboo9boobob
o5boobbo$603bo4bo4boo16boo6boo4bo11boo4boobboobbo$609bobo3boo14boob4o
3bob4o10bobboobo4boo$610bo5b3o12bo3bob6obooboobobboobbo9b3o$613b3o18bo
6bobo5bobboobobo6boobbo$615bo15bobo5bo12b3oboo8boboo$616bo3bo17boo9bo
4boboo3boboboboo$615bo22bo9boo5b3obo3b3oboo$616bobbo28bobo4boo4boobob
oo$617bo51boo$656bo13bo$656bo$671boob3o$671boo9b3o$672bo3bo5bo$673boo
8bo$685boo$686bo$$683bo$680b4obo$680bo4bo5bo$681bo4boobboo$683bobb3obo
bo$687booboo$684booboobboo$685boboo$685bobobbobo$686boo4boo$694booboob
o$694bobboobo$693boo6bo$686boo10boobo$685boo14bo$687bo10bobbo$689boo
10bo$688bo10boo$$687bobbo$684boobo$683boo4bo12bo$685bobobbobb3o5boo$
690bobbo7bobo36boo$687bobbo3bo45bobo$688bobo3bo38boo5bo$688bobobboo38b
obo3boobbo$689boobb3o37bo11bo$689bo46bo3boo3b3o$695boboboboo33boo4boo
4bo$696boo3b3o38b7o$697bo6bo38b4o$701boobo$702boo$702boo$702boo$703bo
4$701b3o$701bobb3o$702bobo$707bo$705bo$707bobo$700boobo6bo$699boo3bobb
obbo$693b3o4bobbobbo3bo$693bo6bobbobbo3bo$696bo3bo6bobo$693bobbo8boo
71bo$694bobbo6b3o48b3o19boo$695bo5bo3bo49bo21bobo$697boboboobo43b3o6bo
21bo$699boo47bo6bobo22bo$703bo45bo4boob4o16boboo$686boo63b4ob5oboo14bo
$685bobo12bobbo48boo7boobo$685boo60boo30boobo$747boo23b3o3boo3bo$772bo
bb5o4bo$729boo42booboo3boo$718b3o8boo16bo24b3o$720bo26bo$712b4o3bo27bo
35bo$711boo52b3o4booboo5boo$710boobobbo48bobb3obboo7bobo$711boboboo50b
o10bo$712boobo50boo5bo3b5o$713boo51boobboo4boboo$766boo3bo5booboo$767b
o3bo3b3o7b3o$769b3ob3obo7bo$767b3obbo6boboo5b5o$768boo9boboo5boob3o$
773boo8b3obboo3bo$772bo8boo6bo3b4o$773boo9boo3bobbobboo$789bobo3boo$
793bob3o$793bo$793b4o$$794b3o$799boo$799bobo$799bo$802bo$802boo3bo$
802boobbobo6b3o$803boboobbo5bo$803boobob3o5bo$803bobo3boo4b3o$803bo5bo
5b3oboo$789b3o17boo$789bo12boo$782bo7bo10boboo13bo$783boo7b3o5bo4bo5b
oobobb5o$782boo9b6oboo3bo4boo3boboboobo$796bo4bo9bobbo5bobo$795bobo4b
oo7bobbo$794b3o14bo$793bo20bo$794bobo7boo5bobbo5b3o$795b5o3boo3boboobb
oo4bo$796boobo5bob4obb3o6bo$805boobobb4obboo$805bo3bobbo4boobo$805bo3b
oboobbo3bo$805bobob3ob3o8boobbo$806bobbobo11boo4bo$805boo3bo3bobbo6bob
o$806bo7bobb5obb4oboo$806bo4bo7bo3boo5boobo$811boo6boobbo4boo$811boo9b
oo3b4obboo$827bo6bo$$830b3oboo$$833bo$833bo$833bo3$835boobbo$834boo$
836booboobo$838bobobbo$837bob5o$836boob3o$836boo$836bobbo$827bo7boobob
oo$826boo6bo3boo3bo$826bobobb4oboo5bo$828bob3o3bo5bobbo$829bo4boo$826b
oboboobobo7b4o$828b4obbo$830boobbo9b5o$828bobo6bo9b3oboo$829boo4boobbo
7bobobobo$839bobo4bo$837bobobo4boo$839bobobbooboob3o$841b3oboobo6bo$
841boo3boobo3bob3o$842boo4bobo3bo$846bobbobboo$842boobbo6bo$842bo3bo3b
o7bo$843bo4boboo5boo$849bo7bobo$847boo10bo$848bo11bo$848bo8boboo$858bo
$$859boobo$852b3o3boo3bo$852bobb5o4bo$853booboo3boo$852b3o$$863bo$845b
3o4booboo5boo$845bobb3obboo7bobo$847bo10bo$846boo5bo3b5o$846boobboo4bo
boo$846boo3bo5booboo$847bo3bo3b3o7b3o$849b3ob3obo7bo$847b3obbo6boboo5b
5o$848boo9boboo5boob3o$853boo8b3obboo3bo$852bo8boo6bo3b4o$853boo9boo3b
obbobboo$869bobo3boo$873bob3o$865b3o5bo$865bo7b4o$866bo$865b3o6b3o$
865b3oboo3$868bo$861boobobb5o$860boo3boboboobo$861bobbo5bobo$861bobbo$
861bo$864bo$854boo5bobbo5b3o$853boo3boboobboo4bo$855bob4obb3o6bo$855b
oobobb4obboo$855bo3bobbo4boobo$830boo23bo3boboobbo3bo$829bobo23bobob3o
b3o8boobbo$829boo25bobbobo11boo4bo$855boo3bo3bobbo6bobo$856bo7bobb5obb
4oboo$856bo4bo7bo3boo5boobo$861boo6boobbo4boo$842boo17boo9boo3b4obboo$
841bobo33bo6bo17boo6boo$841boo58boo4boobo$880b3oboo16bobobboo$902b3obb
oo$883bo12booboob3o$883bo12bob3o$883bo3boobo5bo$887bo3bo7bobbo$887bo3b
o4bobbobbo7bo$852boo28booboo4b3obbo12boo$852boo28bob3o5boobo13bobo$
882bo3bo5bo$885bobbo23boo$886bo3bo21boo$895bo$887boobo3boo7bo6boo$889b
obobbobo5boo5bobbo$888bobooboo7bobo3boobo$881b3o3bobbo4bo10bo$881bo23b
o$884bo3b3o14bobboo$882bobbo4b3o17bo$883bobobobbobo16bo$883bo3boboo18b
obo$883bobobb3o$883bo3bo23bobo$887bob3o10boo$892bo8boo9bobo$887bo5bo9b
o8boo$887bo10bo6boo5bo$886boo5bo3boo5bo$889boobobobbobo9boobbo$886bobo
bo3bo8bobbobbo$888b4o8boobo5bobob3o$889boo3bo5bo4bo4boobboo$890bobbo8b
oobo4b3o$890boboo5boo10boo$891bobo5b6obo7boo$902bob3o3bo$893b4obbo6boo
boo$890boo3b3o10b3o$890bobo6bo8bo$890bo3bobboboo$893booboobo5boo$895bo
bobo5bobo$893b3oboo6bo$896boo8boo$895b3o8bobbo$896bob5o3bo20boo$898boo
bbo5bobo15boobo$902bobo4boobo14bo$903bo9bo13bobbo$912b4o11bo3bo$910boo
boobo10bobbo$906booboo5bo$905boo3bobo$907bobobboobo6boobobb3o$912boo8b
oboobbobb3o$913boo7boboo6boo$910booboo8bo$910bo12boo$911bo11boo$915boo
bo3b3o7boo$915bo3bobbobbo5boo$915bo4bo4boo5boo$917bobobbobbo3b3o$917b
oob4o3bob3o$917boobobo$916bobo6boo8boo$916bobbobobobo9bobb3o$921bo3b4o
6bob4o$916boo3bo3boboobboo3bo3bobo$918bo11boobbo9bo$922boo7b4o7b3o$
922boo9bo4b7obo23b3o5b3o$938bo31bo5booboo$939bobbo3bo13boo11bobo$942bo
3bo12boo13boboo$942bobbo15bo3boobbobobo$964booboboobo$943bobo10boo8boo
bo$944bo10boobboo$956bobboo$951boo3bo3bob4o$950boobobbo6bo$952booboo4b
oo$954b3o$$956bobo4boo$957b3o3bobo$956bo3boo44boo$951bo5bobb4o42b4o$
950boo6b3obbo40bo5bo$950bobo4bobo40b3obobbo$958boo39bobboo$952boboobo
3bo36bo7boo$951boo4bo3bo35bobbo7b3o$951boo3bo40bo10b4o$951boobboobbo
39bo9bobbo$953boboo3bo36bobo10boboo$957boboo25bo9bobo10bobbo$957bob3o
23b4o6bo14bo$974bo5b3obboboo6boboboo9bo$956boo8boo5boo5bobo9bobbob4o7b
obo$955b3o4bo3bobo4bob5obbooboo3b3o3boobboobbooboo$955bob4obbobbo7bob
3obboob3obo7boo5bo4bo3bo$956boo4bo6bobo6bo5bob3obbo9boboo5b3o7bo$956b
oobbo8b3obo4booboobobbobbobbo8bo4bobbobboo4b3o$957bo11bobbo5bo5bobb3o
3boo16bo3bobooboo$959bob3o4b3obbo8b5obbo3boo8bobo6bob3o4bo$959bobboo4b
o5bo6bo3bo3bo14bo8bobo4bo$960bobo5bobbobobo10b3o27bo8b3o$961boobo3bobb
obo4b3obbo4bo27bobobo4bo$963bobbo8boo13bo21b5obobo6bo$959b4o3boo11boob
3o5bo21bo4boboobobbobo$958boo4boboboo7bo4boo27bobo3boo3bobboo$960bobb
4oboo40b3obbo4b3obboo$962boobbobo5boo36bo6bobo7bo$968bo4boo45boo3boobo
boo$963boo9bobo42boob3ob5o$974b3o42b3oboboboo4bo$964bo3b3o3boo39b3o3bo
bo8bo$964boo3b3o4bobo12bo23bo3boboboo7bo$966boo3bo18boo24bo3b3o$971bo
6bobob5obooboo28bo$972bo7b4o5boo32bo$979bo8bo33bobo$978bo3bo7bo32b3o$
978bo12bo33bo$978bobo10boo$994bobbo$992bob3obo$992bo3bobo$993bo3$947bo
bbo$946bo$946bo3bo$946b4o141$803bobbo$802bo$802bo3bo$802b4o!

Here is the glider duplicator used in the convoy.

Code: Select all

#C A diagonal c/4 convoy which duplicates a glider.  The two output
#C gliders have the same color.  A third glider is produced but is
#C suppressed here, and could be allowed to escape if desired.
#C This reaction has a minimum repeat time of 204 generations.
#C David I. Bell, 6 February 2024
x = 205, y = 196
7b3o$7bo$3o6bo$o6bobo$bo4boob4o$3b4ob5oboo$4boo7boobo3$10bobbo$9b5obo$
9bo6bo$10boboo3bo$18bo$15bobo$$16bobbo$16bobbo$17boboobo29boo$17boobbo
bo16b3o9bobo$18bo5bo4bo10bobb3o6bo9bo$18bo9boo11bobo16boobo$23bo4bobo
15bo4boobbo3boobbo$21bo22bo6boobboboobbo$46boboobo3b5o$19boo34boo$20b
oo25bobb6o$19bo28b7o$50b3o23$87boo$75b3o9bobo$75bobb3o6bo9bo12boo$76bo
bo16boobo11bobo$81bo4boobbo3boobbo11bobo$79bo6boobboboobbo14b3o$81bob
oobo3b5o16bobo$90boo19b3o$82bobb6o20boo$83b7o22bo$85b3o18bo4b3o$105b5o
6bo$105bo6booboo$$105boboo$106bo$99bo15boo$98b5obboobo6bobo$98bobboobb
4o6bo$100bobo3boobbooboo$101bo11bo$98bobbob3o3bo$101bobboobbo4bo5bo$
99b3obbo3bo9boo$100bobobob3oboo6bob5o$100bo3b4o3bobboo5bo4bo$100bobo3b
o7bobbobbo5bo$106bo6bobboo10bo$105bo9bo6booboobbo$106bo14boobboo3bo$
123bobo$125bobbobo$125boo3bo$126b3o$126bo$128bo$128bo17$95boo$94boo$
95bobo$95b3o$95boo41boo$97bobo38bobo$131boo5bo22b3o$99bobo29bobo3boobb
o19bo$101b3o27bo11bo18bo$101bo32bo3boo3b3o15b3o$100bo33boo4boo4bo14b3o
boo$95boboobo4bo34b7o$94booboobo40b4o$94bobo4bo62bo$99boo56boobobb5o$
99bo3bo52boo3boboboobo$98bo3bo54bobbo5bobo$157bobbo$98bobbo55bo$97boob
o59bo$97bo52boo5bobbo5b3o$96boo16boobbo30boo3boboobboo4bo$96bo16boo5bo
30bob4obb3o6bo$97bo16bobo3b4o27boobobb4obboo$114boob4o30bo3bobbo4boobo
$114b3o4bobo27bo3boboobbo3bo$118bo32bobob3ob3o8boobbo$118b5o29bobbobo
11boo4bo$108boobobboobboobbobbo25boo3bo3bobbo6bobo$107boo3bob3o4b4obo
25bo7bobb5obb4oboo$108bobbo3boo4boo29bo4bo7bo3boo5boobo$108bobbobboo3b
3o35boo6boobbo4boo$108bo9bo38boo9boo3b4obboo$99b3o14bo4bo51bo6bo$99bo
bb4obo8bo4boo$100b3ob4obo66b3oboobb3o$102b3obbobo6boobo4bo59bo$116bo5b
oo55bo5bo$109bo3b3o6bobbo53bo4b3o$108boo3bo10bo54bo4b3oboo$114bo8boo$
120boo$119boo66bo$121bobo56boobobb5o$121boo3bo52boo3boboboobo$121bo3b
oo14b3o36bobbo5bobo$121bo3bobo13bo38bobbo$121bo20bo37bo$125b5o14boo37b
o$122booboobb3o13bo3boo22boo5bobbo5b3o$130bo17boo22boo3boboobboo4bo$
124bo3boboboo17boo21bob4obb3o6bo$125bo19b6o23boobobb4obboo$126boboo15b
obboobo22bo3bobbo4boobo$132boo13bo4bo21bo3boboobbo3bo$132bobo10bo6bo
21bobob3ob3o8boobbo$132bo11bo30bobbobo11boo4bo$135bo7boo3bo25boo3bo3bo
bbo6bobo$135boobboobobb3o27bo7bobb5obb4oboo$139bo5bo5boobbo19bo4bo7bo
3boo5boobo$139bobo3bo4boo5bo22boo6boobbo4boo$137boboo3bo6bobo3b4o19boo
9boo3b4obboo$136booboo10boob4o38bo6bo$136bobbo11b3o4bobo$138bobo14bo
43b3oboo$138bobboo12b5o$145boobobboobboobbobbo39bo$144boo3bob3o4b4obo
38bo$145bobbo3boo4boo42bo$145bobbobboo3b3o$145bo9bo$136b3o14bo4bo$136b
obb4obo8bo4boo$137b3ob4obo$139b3obbobo6boobo4bo$153bo5boo$146bo3b3o6bo
bbo$145boo3bo10bo$151bo8boo$157boo$156boo$158bobo$158boo3bo$158bo3boo$
158bo3bobo$158bo$162b5o$159booboobb3o$167bo$161bo3boboboo$162bo$163bob
oo!

BCNU,
-dbell

[dbell]

Here are a few uses for the new c/3 period 3 block and blinker eating spaceships.

I looked for old c/3 puffers that could be improved using the new spaceships, and found this one.

Code: Select all

#C A c/3 period 36 backward rake.
#C This is based on a dirty period 36 puffer which is partially
#C cleaned up by perturbations, and then finished using block
#C and blinker eating spaceships.  This is a much smaller rake
#C than the previous version since only one puffer engine is used.
#C David I. Bell, 6 February 2024
x = 150, y = 213
73boo22boo$70booboo22booboo$70boobobo20boboboo$70boobb3o18b3obboo$70b
3obobob3o10b3obobob3o$68boo11bo8bo11boo$75bobbobo10bobobbo$68bobbo28bo
bbo$73bo5boo10boo5bo$73boo3bobbo8bobbo3boo$62b3obo10bo16bo10bob3o$61bo
booboo5bo3bo16bo3bo5booboobo$61b5obbo4bo3bo16bo3bo4bobb5o$63bo11boo18b
oo11bo$61boobobo12boo10boo12boboboo$60bo3bo15b3o6b3o15bo3bo$60bobobobo
15bob4obo15bobobobo$61bobbobooboo9bo10bo9booboobobbo$64bo5boboo8b3obb
3o8boobo5bo$68b3oboo7b4obb4o7boob3o$60bo9bo3boo9boo9boo3bo9bo$46b3o7b
3oboo7b3o5bo6bobbo6bo5b3o7boob3o7b3o$37bo7bo13bobbo3bobbobobo3boo5bobb
o5boo3bobobobbo3bobbo13bo7bo$35b4obb5o4bo3bo4b3o3boobobobo11b4o11bobob
oboo3b3o4bo3bo4b5obb4o$31booboo5b3obob5ob5oboboobbooboo3boobobbo4bobbo
4bobboboo3booboobboobob5ob5obob3o5booboo$31boobbo5bo6bobbobobbo5bo3boo
bbo3boboob5oboob5oboobo3bobboo3bo5bobbobobbo6bo5bobboo$30bobbo7bo20bo
11boboboobobo4boboboobobo11bo20bo7bobbo$40bo24boo6bo5bo5boo5bo5bo6boo
24bo$78bo4bo4bo4bo$76bobobbo8bobbobo$45b3o7b3oboo18b14o18boob3o7b3o$
41boo3boboo3boo4boo14bo6bo6bo6bo14boo4boo3boobo3boo$26boboob3o5boobobo
bobobobo3bobobbobboo5b6o8boo8b6o5boobbobbobo3boboboboboboboo5b3oboobo$
25booboo4boobo4bobooboobobob3obo5boboob3obo6b12o6bob3oboobo5bob3obobob
ooboobo4boboo4booboo$24bobbobobbo3boo12bobo3bobo5bobobbo12bob4obo12bo
bbobo5bobo3bobo12boo3bobbobobbo$25bo5bo3bo3bobbobo3boboboboboboboobb3o
3b3o10bo4bo10b3o3b3obboobobobobobobo3bobobbo3bo3bo5bo$44bobo11boboobb
3o3bo30bo3b3obboobo11bobo$46bo6b3obbo6b4obobo4bo6bobbo6bo4bobob4o6bobb
3o6bo$62b4o3b3obob4o6boo6b4obob3o3b4o$69bobo3bo3bo5boo5bo3bo3bobo$65bo
3bobo4bobo14bobo4bobo3bo$64bobbobobobbo22bobbobobobbo$65bo40bo$6bo6b3o
14b3o3boo8boob3o3bo$6boo3boobo8b3o4b3o3booboo5boo3bob4o24boo6boo$6bobo
3boboboo3boo3bobbo3boboboboo5b4obobo3bo23bo8bo$5bobbobobooboobo3bobobo
6boboobbobobbo3bobboboboboo5boo16bo6bo$b3obooboboo6boboboobbobo4bobbob
ooboboobboo4bobooboobboobbo15bo6bo$o3bobooboobbo4boboo3booboob6obbobo
bb3obo8bob3obo3bo16b4o$boo9bo6bobobobbo6bo3bobobobbo3bob4o5bo3b4o$9boo
14bobo5b3o7b3obboo7bobo4boobboo7bo$32bo10b3oboo4bobo4bobbo4boo6bobo$
41bobbobobo4bo3bo6b4o7bo3bo$58boboo3bobbobbobboo3boo10b3o$37boo22bo5b
oobo4boboboo10boo$34booboboo9boo5bo4bo3bo9bobboboo6boo8bo$31b4obbo4boo
b3oboobbobooboob3o12bobo20bobo$30bo4bo6boobob3o4bobobobo3boo10bobbobo
bbobbobbo11bo$31boo7bobbobo3bobobbob4obo13boobboo3bobbo3b3o$47bo11boo
13bobobobboo6boobo6bobo$73boo$74boo26bo3bo$99boboboob3o$98bobbo6booboo
$93boobboobbo3bobbobboo$93booboboobbobbo4bobbo$81b3o8bo3bo4boo$80boobo
8bobobobbobboo$79boobbo3bo13bo$79b4o4boo4b3o16b3o$81bobo3bobo21bo$69bo
12boo5boo19boo$69bo11boo5boo14boboobboobb3o$69bo11b3o4bo14boobooboo5bo
4boo$102bobboo3boboo4booboo$108b4o6boo3bo$104boboboo8boo$106bo$82b3o
18boo18bo$102boobbo4boobo3bo3boob3o$80bo5bo17b3obooboboobooboobob3obbo
3b3o$80bo5bo13bobbo5boboo6bo9bobboboboo$79bobo4bo14bob4obo3b3o3bobobbo
3bobobbobo3bo$69bo10bo25b3obboo10bo4boobbobbobo$69bo9boo13bo11boo4bo
16b5o$69bo7boobbo13bo11boboobo17boo$77b5o11b3o$72b3obbob4o25bobbo$74bo
boo30bobbo$52boboo19boobo3bo$51boobooboo18boboboo$50bobbobobbo18bobb3o
$51bo5boo4boo21bo$60booboo14bo6bo$60boobbo14bo6bo$60boo3$67boo$66bo$
67boo16boo$49boboo32boo$48boobooboobo$47bobbobobooboo22boo$48bo6bo3bo
21boo3bo$37boo18bobo10boo14bo16bo$31bo5booboo22bo3boboboo12bo17bo$30b
3o3bo3boo4bo9bo3bobboobboobo4bo26b3o$29bo3bo6boo3bobo7b3ob4obobboobo3b
3o$30bobobobobo5bo3bo4boo7bo3bo3bo3boboo$36bobo3b4oboo4bobobobo3bobbo
6bobboo$36bobo3boo4b4obobo13boobbo$38bo9boo5bo3bobobooboo3boboobbo7boo
$50bobo7bo6boobbobobobo7boo$65boobobbobobo$68bobooboboboo$65bobb4obobo
boobbo4bo$59boboo9boobo5bo4bo$57b3obooboobboobobobo10bo$55bo4bobo3bobb
obbobboo$51b5o4bobbobbobo3boobboo$51b3o6bobo3boo8bobo$50bo4bo6bob3o3bo
bo6bo$44bo5bo5b3ob5o5bo3bobobbo$42b3ob5o4boo4bobboobo3bobo11boo$38b3ob
oo5boboboo3bobo4bobbo7bobo6boo$37bo7bobo3bobobobboboobbo4bo7bo34bo$38b
oo3bo4bobbobobboo4b4o4bo42bo$43boboobobobbo3b4o3boboobbo15bo24b3o$53bo
b5o3bo22bo$52booboo5bo23bo$52bobo5$85boo$85boo3$86bo$86bo$86bo5$121bo$
85boo35bo$85boo33b3o3$86bo$86bo$86bo6$56bo28boo$52b3ob3o26boo$51bo6bob
3o$52boo3bo5bo$42bo17boobo10boo10bo$35bo5b4o17bo9b3obo9bo$34bobo3bo3b
oo14b4o3b3obbo3boo8bo$33bo3bo3bo4bobb3o6bobboboobo5bobob5o29bo10bo$34b
oobo5bo5b3o6bo7bo4bobb3o3bo25b3ob3o6b3ob3o4bo$39bobo4bobbobbo4bo3bob3o
boob3obboo4bo23bo6bob4obo6bo4bo$41bo4boo5bob3ob5oboo4b4obo4bo24boo3bo
8bo3boo3b3o$43bo9bobbobboobbobob3obo3bobo18bo17b4o$42bo10bobobo6bo8bob
obob3o3boo8boob3o11bobboobbo$69boobobbobobobo3boo7boo5bobboo7b6obboo$
70bobobooboboboo12bobobob3oboo14boo$69booboo3bobo3bo10b4oboobbo3bo3bo
6b5o$66boobboo4booboboo3bo6boo3b3oboo6b3obo5bo$62b3ob4obbobobbobo6bo3b
3o15b4obbo4bo$61boo7bobobbo3bo6bo5boobboob3obb3oboo9bo$56bob5obobobobo
6bobbo8bobb4o3b3obboo$55boobbo3boobo3boobo3booboo7bobb3obbobo3b3obboo$
54bo4bobbo3bobo6bobooboboo8bo4boo4bobobboo$54bo5b6obobo4bo3bob4o6b3obo
bb5ob3obbobboo$47b3oboobobo7bo6bo3boobobbo10bo6bobbobbobboo3boo3bo$42b
ooboo4bo3bobboobboo5b3o8bo9booboobboob6obobobo4b4o$42boo5b3obobobo4bob
o4b3o9boo22b3obo6bo3bo$41bobbob4obbobbobobo3boobobb6o15bo6bo4bobboobb
oo3bobbobo$49bobo3bobobboobooboo5boo26bo5bobboo3bo$53bo3boboo5boo42bob
o$56boo5bobo47bo25bo$56bobbo43boob3obobbo26bo$57bo45boo33b3o$102bo3bob
oboo$107boboobo$110boo$108bobo$103boobooboboo$103boo4boboo$103bob3obo
3bo$105booboobo$103bo3bobo$103bo4boo$103bobobboo$105bobobo$104boobo3b
3o$103bo3bobobbobo$103bo5b3obbo$107bobobobo$103b4o$102boo4boo4bo$107b
3o3boo33bo$107boo40bo$110b3o34b3o!

I think this next one is cute.

Code: Select all

#C A long barber-pole being eaten by c/3 period 3 spaceships.
#C This shows three eating sequences: top down, bottom up, and
#C meet in the middle.  The large block eating spaceship is
#C required for the top of the barber-pole.
x = 281, y = 50
23bo187bo$19b3ob3o181b3ob3o$18bo6bob3o176bo6bob3o$19boo3bo5bo176boo3bo
5bo$9bo17boobo10boo154bo17boobo10boo$bbo5b4o17bo9b3obo146bo5b4o17bo9b
3obo$bobo3bo3boo14b4o3b3obbo3boo144bobo3bo3boo14b4o3b3obbo3boo$o3bo3bo
4bobb3o6bobboboobo5bobob5o140bo3bo3bo4bobb3o6bobboboobo5bobob5o$boobo
5bo5b3o6bo7bo4bobb3o3bo4boo63bo28boo41boobo5bo5b3o6bo7bo4bobb3o3bo4boo
$6bobo4bobbobbo4bo3bob3oboob3obboo4bo3bobo58b3ob3o26bobo45bobo4bobbobb
o4bo3bob3oboob3obboo4bo3bobo$8bo4boo5bob3ob5oboo4b4obo4bo63bo6bob3o72b
o4boo5bob3ob5oboo4b4obo4bo$10bo9bobbobboobbobob3obo3bobo9bobo56boo3bo
5bo23bobo47bo9bobbobboobbobob3obo3bobo9bobo$9bo10bobobo6bo8bobobob3o
54bo17boobo10boo60bo10bobobo6bo8bobobob3o$36boobobbobobobo7bobo37bo5b
4o17bo9b3obo12bobo71boobobbobobobo7bobo$37bobobooboboboo45bobo3bo3boo
14b4o3b3obbo3boo86bobobooboboboo$36booboo3bobo3bo7bobo33bo3bo3bo4bobb
3o6bobboboobo5bobob5o10bobo69booboo3bobo3bo7bobo$33boobboo4booboboo45b
oobo5bo5b3o6bo7bo4bobb3o3bo79boobboo4booboboo$29b3ob4obbobobbobo13bobo
37bobo4bobbobbo4bo3bob3oboob3obboo4bo11bobo60b3ob4obbobobbobo13bobo$
28boo7bobobbo3bo55bo4boo5bob3ob5oboo4b4obo4bo73boo7bobobbo3bo$23bob5ob
obobobo6bobbo14bobo39bo9bobbobboobbobob3obo3bobo17bobo52bob5obobobobo
6bobbo14bobo$22boobbo3boobo3boobo3booboo54bo10bobobo6bo8bobobob3o67boo
bbo3boobo3boobo3booboo$21bo4bobbo3bobo6bobooboboo13bobo63boobobbobobob
o15bobo48bo4bobbo3bobo6bobooboboo13bobo$21bo5b6obobo4bo3bob4o80boboboo
boboboo65bo5b6obobo4bo3bob4o$14b3oboobobo7bo6bo3boobobbo17bobo61booboo
3bobo3bo15bobo39b3oboobobo7bo6bo3boobobbo17bobo$9booboo4bo3bobboobboo
5b3o8bo79boobboo4booboboo53booboo4bo3bobboobboo5b3o8bo$9boo5b3obobobo
4bobo4b3o9boo18bobo52b3ob4obbobobbobo21bobo32boo5b3obobobo4bobo4b3o9b
oo18bobo$8bobbob4obbobbobobo3boobobb6o80boo7bobobbo3bo55bobbob4obbobbo
bobo3boobobb6o$16bobo3bobobboobooboo5boo28bobo44bob5obobobobo6bobbo22b
obo37bobo3bobobboobooboo5boo28bobo$20bo3boboo5boo81boobbo3boobo3boobo
3booboo65bo3boboo5boo$23boo5bobo39bobo40bo4bobbo3bobo6bobooboboo21bobo
42boo5bobo39bobo$23bobbo88bo5b6obobo4bo3bob4o66bobbo$24bo49bobo31b3ob
oobobo7bo6bo3boobobbo25bobo41bo49bobo$75boo26booboo4bo3bobboobboo5b3o
8bo27boo92boo$103boo5b3obobobo4bobo4b3o9boo$102bobbob4obbobbobobo3boob
obb6o$110bobo3bobobboobooboo5boo42boo$114bo3boboo5boo49booboo90bo$117b
oo5bobo45boo4boobb4o86b4o$117bobbo51booboo4bo4bo80bo3bo3booboo$118bo
52bo3boo7boo80b4o5bobboo$175boo88bo3bo7bobbo$266bobobbo$270bo$$84b3o$
83bo3boobo$78b3obb3o3b3o$77bobob3o4bo3bo$78bo4bo7bo$81boo!

A long canoe can now be eaten.

Code: Select all

#C A long canoe being eaten by two c/3 period 3 spaceships.
#C Only the large block-eating spaceships can be used, only this
#C orientation of the canoe can be eaten, and it can only be eaten
#C from the bottom up.
x = 129, y = 42
52boo$52bo$53bo$54bo$20boboo31bo$19boobooboobo27bo$18bobbobobooboo27bo
$19bo6bo3bo27bo$8boo18bobo10boo16bo$bbo5booboo22bo3boboboo15bo$b3o3bo
3boo4bo9bo3bobboobboobo4bo14bo$o3bo6boo3bobo7b3ob4obobboobo3b3o14bo42b
oobo$bobobobobo5bo3bo4boo7bo3bo3bo3boboo14bo36boboobooboo$7bobo3b4oboo
4bobobobo3bobbo6bobboo15bo34booboobobobbo$7bobo3boo4b4obobo13boobbo20b
o32bo3bo6bo$9bo9boo5bo3bobobooboo3boboobbo17bo19boo10bobo18boo$21bobo
7bo6boobbobobobo18bo16boobobo3bo22booboo5bo$36boobobbobobo21bo13bo4bob
oobboobbo3bo9bo4boo3bo3b3o$39bobooboboboo19bo11b3o3boboobbob4ob3o7bobo
3boo6bo3bo$36bobb4obobo3bo19bo9boobo3bo3bo3bo7boo4bo3bo5bobobobobo$30b
oboo9boobobbo21bo8boobbo6bobbo3bobobobo4boob4o3bobo$28b3obooboobboobob
obo25bo11bobboo13bobob4o4boo3bobo$26bo4bobo3bobbobbobboo25bo6bobboobo
3booboobobo3bo5boo9bo$22b5o4bobbobbobo3boobboo25bobo3bobobobobboo6bo7b
obo$22b3o6bobo3boo8bobo25boo5bobobobboboo$21bo4bo6bob3o3bobo6bo28boobo
boboobo$15bo5bo5b3ob5o5bo3bobobbo27bo3bobob4obbo$13b3ob5o4boo4bobboobo
3bobo34bobboboo9boobo$9b3oboo5boboboo3bobo4bobbo7bobo32boboboboobboob
oob3o$8bo7bobo3bobobobboboobbo4bo7bo32boobbobbobbo3bobo4bo$9boo3bo4bo
bbobobboo4b4o4bo38boobboo3bobobbobbo4b5o$14boboobobobbo3b4o3boboobbo
37bobo8boo3bobo6b3o$24bob5o3bo43bo6bobo3b3obo6bo4bo$23booboo5bo44bobbo
bo3bo5b5ob3o5bo5bo$23bobo58bobo3boboobbo4boo4b5ob3o$79bobo7bobbo4bobo
3boobobo5boob3o$80bo7bo4bobboobobbobobo3bobo7bo$87bo4b4o4boobbobobbo4b
o3boo$87bobboobo3b4o3bobboboboobo$94bo3b5obo$95bo5booboo$103bobo!

EDIT: Actually, the top block eating spaceship in the barber-pole and canoe eating convoys can be replaced by the usual pair of edge-repair spaceships.

Code: Select all

#C A barber-pole deleted by three c/3 period 3 edge-repair spaceships.
x = 57, y = 33
16boo$16bobo$$18bobo$$20bobo$$22bobo$$24bobo$$26bobo$$28bobo$$30bobo$$
32bobo$$34bobo$$36bobo$$38bobo$7bo18bo12boo$5b4o16b4o$booboo3bo3bo6bo
3bo3booboo16bo$boobbo5b4o4b4o5bobboo15b4o$obbo7bo3bobbo3bo7bobbo9bo3bo
3booboo$9bobbobo4bobobbo17b4o5bobboo$10bo12bo17bo3bo7bobbo$42bobobbo$
46bo!

BCNU,
-dbell

[May13]

p42 c/3 puffer, new period of c/3 puffer according to LifeWiki:Game_of_Life_Status_page:

Code: Select all

x = 53, y = 116, rule = B3/S23
25b3o$24b5o$24b5o$22b2o5b2o$19b3o9b3o$18bob2o9b2obo2$18b2o3b2o3b2o3b2o
$17bo2bo2bo5bo2bo2bo$17bo6bo3bo6bo$15bo6b2o5b2o6bo$15bo9bobo9bo$17bob
2o4bobo4b2obo$19b2o4bobo4b2o$19bobobobobobobobo$17b2o3bob2ob2obo3b2o$
16bobo4bob3obo4bobo$16bo3bob3o3b3obo3bo$14b2ob4o11b4ob2o$14b3o2b2ob2o
5b2ob2o2b3o$13b2obo19bob2o$17b2o2b3o5b3o2b2o$17b4o11b4o$17bob2ob2o5b2o
b2obo$18bobo11bobo$12b3o2bo2bo11bo2bo2b3o$12b3o2bo2b2o9b2o2bo2b3o$13b
3o21b3o$13b2o4b2obo7bob2o4b2o$14bobo19bobo$18b3o11b3o$14bobob2obo9bob
2obobo$13b2o2bobobo9bobobo2b2o$14bobo19bobo$14bob3o15b3obo$18bobo11bob
o$17b4o11b4o$16b3obo11bob3o$16b3o2bo9bo2b3o$16bob3o11b3obo$19bo13bo$
15bobobo13bobobo$14b3o2bo13bo2b3o$14b2o7b3ob3o7b2o$14b2o3bo2bobo3bobo
2bo3b2o$15bob4o5bo5b4obo$15b2o2bob11obo2b2o$19bo6bo6bo$19b3o4bo4b3o$
20b2o3b3o3b2o$26bo$18b3o11b3o$18bobo11bobo$17bo3bo9bo3bo$18bo2bo9bo2bo
$18bo15bo$21bo9bo$19bob2o7b2obo$19bob2o7b2obo$21b2o7b2o2$18b5o7b5o$17b
o3bo9bo3bo$17bobo13bobo$20bo11bo$18b2o13b2o$18b4o9b4o$22bo7bo$16b3obo
2bo5bo2bob3o$17b4o2bo5bo2b4o$17b2o3bo7bo3b2o$18bo15bo$21b3o5b3o$18bo2b
3obobob3o2bo2$19bo5bobo5bo$20bo3bo3bo3bo$21b3o5b3o2$b3o9b3o21b3o9b3o$b
obo9bobo21bobo9bobo$o3b2o5b2o3bo19bo3b2o5b2o3bo$o15bo4b2ob2ob2ob2o4bo
15bo$o5bo3bo5bo19bo5bo3bo5bo$bob3ob3ob3obo21bob3ob3ob3obo$b2o11b2o7bo
5bo7b2o11b2o$2b2o9b2o6b2obo3bob2o6b2o9b2o$22b2o5b2o$3bobo5bobo9bo5bo9b
obo5bobo$3bobo5bobo25bobo5bobo$3bo4bo4bo25bo4bo4bo$5bobobobo29bobobobo
$4b2obobob2o27b2obobob2o$4bo2bobo2bo27bo2bobo2bo$3bob2o3b2obo25bob2o3b
2obo$4b3o3b3o27b3o3b3o$3b2o7b2o25b2o7b2o$3b2obo3bob2o25b2obo3bob2o$bo
4b2ob2o4bo21bo4b2ob2o4bo$bo4b2ob2o4bo21bo4b2ob2o4bo$bo2bo7bo2bo4b2o9b
2o4bo2bo7bo2bo$3b5ob5o6b2o9b2o6b5ob5o$4bo7bo27bo7bo$2b3o2bobo2b3o23b3o
2bobo2b3o$bo5bobo5bo21bo5bobo5bo$bo13bo21bo13bo$2bob2o5b2obo23bob2o5b
2obo$2b2o9b2o23b2o9b2o$2bo11bo23bo11bo$bobo9bobo21bobo9bobo2$b2o11b2o
21b2o11b2o3$20b2o9b2o$20b2o9b2o!

Edit: failed p120 puffer:

Code: Select all

x = 81, y = 116, rule = B3/S23
36bo$34bo3bo3$30b13o$29bo13bo$31bo9bo$28bobo11bobo$28b2o3b2o3b2o3b2o$
27bobo3bo5bo3bobo$26bo5bobo3bobo5bo$26bo6b2o3b2o6bo$26bo7bo3bo7bo$28b
3o3b2ob2o3b3o$31bo3bobo3bo$29bob3obobob3obo$27b3o2bo7bo2b3o$26bob2obo
9bob2obo$26bo3b13o3bo$24bo2b2o5bo3bo5b2o2bo$30b2o9b2o$23b2obob3o11b3ob
ob2o$26bo3b3o7b3o3bo$26bo19bo$27bo17bo$23bo3b2obo11bob2o3bo$22bobo2b2o
bo11bob2o2bobo$26bo3b2o9b2o3bo$25bo3bo13bo3bo2$23b3o2bo2bo9bo2bo2b3o$
28bobo11bobo$23b3o5bo9bo5b3o$23b2ob2obo13bob2ob2o$24bobo19bobo$26bob2o
13b2obo$26bo3bo11bo3bo$26bo3b2o9b2o3bo$30b2o9b2o$25bo5bo9bo5bo$26bo3bo
11bo3bo$26b2o17b2o$24b2o3b2o11b2o3b2o$28bo5bo3bo5bo$23bo9b3ob3o9bo$29b
2o3bobobo3b2o$27bo8bo8bo$25b3o3b4o3b4o3b3o$28b2o3b2o3b2o3b2o$29bobo9bo
bo$29bobo3bobo3bobo$31bo3b3o3bo$28bobo11bobo$27b2ob2o9b2ob2o$27b5o9b5o
$27b2o15b2o2$30b3o7b3o2$33bo5bo$30b3o7b3o$29bo13bo$28b5o7b5o$27bo3b2o
7b2o3bo$28bobo11bobo$30bo11bo$28bo2bo9bo2bo$28bob2o9b2obo$32bo7bo$26bo
3b4o5b4o3bo$30b4o5b4o21bo10bo$60b3ob3o6b3ob3o$27b2o2bobo5bobo2b2o13bo
6bob4obo6bo$31bob2o3b2obo18b2o3bo8bo3b2o$31bob2o3b2obo8bo17b4o$32bobo
3bobo8b2ob3o11bo2b2o2bo$7b3o9b3o26b2o5bo2b2o7b6o2b2o$5b2obobo7bobob2o
6b5o3b5o6bobobob3ob2o14b2o$2bobo4bo9bo4bobo4b3o5b3o6b4ob2o2bo3bo3bo6b
5o$bob2o9bo9b2obo4bo7bo6b2o3b3ob2o6b3obo5bo$o3b4o5bobo5b4o3bo15b3o15b
4o2bo4bo$3bo2bo5bo3bo5bo2bo20b2o2b2ob3o2b3ob2o9bo$bo11b3o11bo15bo2b4o
3b3o2b2o$3b4o15b4o17bo2b3o2bobo3b3o2b2o$2b4o2b2ob2o3b2ob2o2b4o19bo4b2o
4bobo2b2o$4bo4bob2o3b2obo4bo19b3obo2b5ob3o2bo2b2o$7bobobo5bobobo24bo6b
o2bo2bo2b2o3b2o3bo$44b2ob2o2b2ob6obobobo4b4o$59b3obo6bo3bo$44bo6bo4bo
2b2o2b2o3bo2bobo$55bo5bo2b2o3bo$64bobo$67bo$57b2ob3obo2bo$57b2o$56bo3b
obob2o$61bob2obo$64b2o$62bobo$57b2ob2obob2o$57b2o4bob2o$57bob3obo3bo$
59b2ob2obo$57bo3bobo$57bo4b2o$57bobo2b2o$59bobobo$58b2obo3b3o$57bo3bob
o2bobo$57bo5b3o2bo$61bobobobo$57b4o$56b2o4b2o4bo$61b3o3b2o$61b2o$64b3o
!

[amling]

Failed p120 puffer:

Code: Select all

x = 81, y = 116, rule = B3/S23
36bo$34bo3bo3$30b13o$29bo13bo$31bo9bo$28bobo11bobo$28b2o3b2o3b2o3b2o$
27bobo3bo5bo3bobo$26bo5bobo3bobo5bo$26bo6b2o3b2o6bo$26bo7bo3bo7bo$28b
3o3b2ob2o3b3o$31bo3bobo3bo$29bob3obobob3obo$27b3o2bo7bo2b3o$26bob2obo
9bob2obo$26bo3b13o3bo$24bo2b2o5bo3bo5b2o2bo$30b2o9b2o$23b2obob3o11b3ob
ob2o$26bo3b3o7b3o3bo$26bo19bo$27bo17bo$23bo3b2obo11bob2o3bo$22bobo2b2o
bo11bob2o2bobo$26bo3b2o9b2o3bo$25bo3bo13bo3bo2$23b3o2bo2bo9bo2bo2b3o$
28bobo11bobo$23b3o5bo9bo5b3o$23b2ob2obo13bob2ob2o$24bobo19bobo$26bob2o
13b2obo$26bo3bo11bo3bo$26bo3b2o9b2o3bo$30b2o9b2o$25bo5bo9bo5bo$26bo3bo
11bo3bo$26b2o17b2o$24b2o3b2o11b2o3b2o$28bo5bo3bo5bo$23bo9b3ob3o9bo$29b
2o3bobobo3b2o$27bo8bo8bo$25b3o3b4o3b4o3b3o$28b2o3b2o3b2o3b2o$29bobo9bo
bo$29bobo3bobo3bobo$31bo3b3o3bo$28bobo11bobo$27b2ob2o9b2ob2o$27b5o9b5o
$27b2o15b2o2$30b3o7b3o2$33bo5bo$30b3o7b3o$29bo13bo$28b5o7b5o$27bo3b2o
7b2o3bo$28bobo11bobo$30bo11bo$28bo2bo9bo2bo$28bob2o9b2obo$32bo7bo$26bo
3b4o5b4o3bo$30b4o5b4o21bo10bo$60b3ob3o6b3ob3o$27b2o2bobo5bobo2b2o13bo
6bob4obo6bo$31bob2o3b2obo18b2o3bo8bo3b2o$31bob2o3b2obo8bo17b4o$32bobo
3bobo8b2ob3o11bo2b2o2bo$7b3o9b3o26b2o5bo2b2o7b6o2b2o$5b2obobo7bobob2o
6b5o3b5o6bobobob3ob2o14b2o$2bobo4bo9bo4bobo4b3o5b3o6b4ob2o2bo3bo3bo6b
5o$bob2o9bo9b2obo4bo7bo6b2o3b3ob2o6b3obo5bo$o3b4o5bobo5b4o3bo15b3o15b
4o2bo4bo$3bo2bo5bo3bo5bo2bo20b2o2b2ob3o2b3ob2o9bo$bo11b3o11bo15bo2b4o
3b3o2b2o$3b4o15b4o17bo2b3o2bobo3b3o2b2o$2b4o2b2ob2o3b2ob2o2b4o19bo4b2o
4bobo2b2o$4bo4bob2o3b2obo4bo19b3obo2b5ob3o2bo2b2o$7bobobo5bobobo24bo6b
o2bo2bo2b2o3b2o3bo$44b2ob2o2b2ob6obobobo4b4o$59b3obo6bo3bo$44bo6bo4bo
2b2o2b2o3bo2bobo$55bo5bo2b2o3bo$64bobo$67bo$57b2ob3obo2bo$57b2o$56bo3b
obob2o$61bob2obo$64b2o$62bobo$57b2ob2obob2o$57b2o4bob2o$57bob3obo3bo$
59b2ob2obo$57bo3bobo$57bo4b2o$57bobo2b2o$59bobobo$58b2obo3b3o$57bo3bob
o2bobo$57bo5b3o2bo$61bobobobo$57b4o$56b2o4b2o4bo$61b3o3b2o$61b2o$64b3o
!

Clearing that glider is easy enough, but the entire smoke stabilizes at a higher period:

Code: Select all

x = 117, y = 94, rule = B3/S23
36bo$34bo3bo3$30b13o$29bo13bo$31bo9bo$28bobo11bobo$28b2o3b2o3b2o3b2o$
27bobo3bo5bo3bobo$26bo5bobo3bobo5bo$26bo6b2o3b2o6bo$26bo7bo3bo7bo$28b
3o3b2ob2o3b3o$31bo3bobo3bo$29bob3obobob3obo$27b3o2bo7bo2b3o$26bob2obo
9bob2obo$26bo3b13o3bo$24bo2b2o5bo3bo5b2o2bo$30b2o9b2o$23b2obob3o11b3ob
ob2o$26bo3b3o7b3o3bo$26bo19bo$27bo17bo$23bo3b2obo11bob2o3bo$22bobo2b2o
bo11bob2o2bobo$26bo3b2o9b2o3bo$25bo3bo13bo3bo2$23b3o2bo2bo9bo2bo2b3o$
28bobo11bobo$23b3o5bo9bo5b3o$23b2ob2obo13bob2ob2o$24bobo19bobo$26bob2o
13b2obo$26bo3bo11bo3bo$26bo3b2o9b2o3bo$30b2o9b2o$25bo5bo9bo5bo$26bo3bo
11bo3bo$26b2o17b2o$24b2o3b2o11b2o3b2o$28bo5bo3bo5bo$23bo9b3ob3o9bo$29b
2o3bobobo3b2o$27bo8bo8bo$25b3o3b4o3b4o3b3o$28b2o3b2o3b2o3b2o$29bobo9bo
bo$29bobo3bobo3bobo$31bo3b3o3bo$28bobo11bobo$27b2ob2o9b2ob2o$27b5o9b5o
$27b2o15b2o2$30b3o7b3o2$33bo5bo$30b3o7b3o$29bo13bo$28b5o7b5o$27bo3b2o
7b2o3bo$28bobo11bobo$30bo11bo$28bo2bo9bo2bo$28bob2o9b2obo$32bo7bo$26bo
3b4o5b4o3bo$30b4o5b4o21bo10bo$60b3ob3o6b3ob3o$27b2o2bobo5bobo2b2o13bo
6bob4obo6bo$31bob2o3b2obo18b2o3bo8bo3b2o$31bob2o3b2obo8bo17b4o$32bobo
3bobo8b2ob3o11bo2b2o2bo$7b3o9b3o26b2o5bo2b2o7b6o2b2o$5b2obobo7bobob2o
6b5o3b5o6bobobob3ob2o14b2o$2bobo4bo9bo4bobo4b3o5b3o6b4ob2o2bo3bo3bo6b
5o$bob2o9bo9b2obo4bo7bo6b2o3b3ob2o6b3obo5bo$o3b4o5bobo5b4o3bo15b3o15b
4o2bo4bo$3bo2bo5bo3bo5bo2bo20b2o2b2ob3o2b3ob2o9bo$bo11b3o11bo15bo2b4o
3b3o2b2o$3b4o15b4o17bo2b3o2bobo3b3o2b2o19b2o12bo7bo$2b4o2b2ob2o3b2ob2o
2b4o19bo4b2o4bobo2b2o13b2o3b2obo10bobob3obobo$4bo4bob2o3b2obo4bo19b3ob
o2b5ob3o2bo2bo4b3ob4obo2b2obo3bo3b2obobo5bobob2o$7bobobo5bobobo24bo6bo
2bo2bo2b2o2b2ob2o3b2o3bob4o2b2ob2ob5o2bobo2b2ob2o$44b2ob2o2b2ob6obobob
ob4obobo2bo4bo2bo2bo10b2ob2o5bo4b2o$59b3obobo3bo2b2o3bo3bo5bobo3bo3bo
2bo2bo7b2ob2o$44bo6bo4bo2bo3bo5bo3b2obo16bo5bobobo7b2o3bo$55bo4b2obobo
3b2o4b4o32b2o$65bo3b4o2b2o$66bo4b2o$63b2o!