Spaceship Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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dbell
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Re: Spaceship Discussion Thread

Post by dbell » March 1st, 2024, 9:09 am

Here is a smaller diagonal c/4 period 72 rake.

Code: Select all

#C A diagonal c/4 period 72 sideways rake.
#C This is a slightly smaller version of a previous rake.
#C David I. Bell, 2 March 2024
x = 195, y = 162
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$22boobbo28boo9bobbo3bo$
22b3o29boo8b3o3bo28boobo$22bobboo29bo3bo8boo28bo3bo$58boo9boo28bo4bo$
20boo35bo4boo6bo30boo$20booboo29boboobo4bo3bo5boo27bobo$21bo31b6oboobb
o3bo4boo$22boo24bo4bobboo6bo7bobob3o19bo6boo$47boo6boobboo3bo7boobbobb
o17b5o4bobbo$42b3obbobo10bobobo9bobobbo11boo4bo6boo$42bo11boboo4bobo7b
oo5bo11bobo11bo$45bo4boobobobo5boo6bo6bo12bo5boboo6bobo$42bobbo4b3o7b
oobo3bobbobboobbo14boo4bo4bobo$43bobbo5boo6b3o4bo4bobboo15bobbo6b3o$
44bo15boo7b5o6boo10bo6booboo$46boboo3bo3bo3boo7b5o4bobo12bobobobbo$48b
ob4o4boo13bobo3boo$48boboobobo5boo11bo21bo4bo$45b3ob4obo7bo34b4o$44bob
o16bo$44bo3boo6booboobo32bo$44bob3oboo3boo5b5o9bo18bobo$47boob3obo8boo
bo8bobo$45b3o4bo22bobo10b3o5bobo$45b3o16boo10bo14bo6bo$50boo3bo4boobo
22boo3boo6bo$44bobo3boo3bo3boobboobo19boobb4o3boo$43boobo5bo8boboo21b
oobo3boobbooboo$52boboboo9bo14bo5bo4bo3boo3bo$39b3o4bo5b3o10bo15bobo
14b5o$39bo5boobobboobo26bobo15b3o$40bo4boobobbobobboo3bo3b4o13bo$42b4o
bo3boo7boo3b4o$43boo7bobbo4bobo$52bo11boo41bo$49boo4bo8b3o39b3o$48b3o
3b3o24bo23booboo$46boo4bob3o7bo15boo22b3obboo$46boobbobobobo7bobo13bob
o22boobboo$45bobobbobboo5bo30boo15b3o$46boboo4bo4boo4b3o40boo$44boobb
oo4bo4bobo3bobo25boo$44b5o3boboo8bo28bobo$49bobbo9b3o25booboboo$47b3o
bbobo8boo26boboboo$44bo3boo4bo34b5oboo$45boo7bobo37boo4bo$48boo3boo44b
obo$42boo4boo3bobbo42bobo$42bobobbobboob3o26b3o15bo$42bo3bobbooboo28bo
$45b5o3bo22b3o6bo$46bo29bo6bobbo$53bo23bo6boboo34bo$32bo17bobbo25boo3b
oboo33b4o$31boo11b3obb3obbobo23bo3bobo33bobo4booboo$31bobo10booboo7bo
27boboo31boo7b3o$45bobo3boo3bo17b3o3boo6bo31boboboboboo$34boo10bobobb
oo21bobboobbob3obo33boobobbo$34boo14bo3bo20bobbobboobo28boo7boboo$43b
3o3bobo25boobooboobo26boo8boo$25bo6boo3bo5bo3bobbo32bobbo$24boo5bobbob
obobboboo6b3o28boobbo6boo61b3o33b3o$24bobo3boobo3bobb3o8bobbo37boo3bo
60bo35bo$28bo9b3o11b3o39boboo59bo35bo$27bo12bo10bo3bo40b3o$27bobbo10bo
12boo40bo$41bo9bo4bo41b3o12b3obboo$50b3obbobbo40boo12boobboo$52bobo4b
oo38boo12b3oboo$47boobbobbobbobobo37boo16bo$47bo6bobobboo38boo$47bobo
9bo39boo$53bo6bo39boo$52boo6bo40bo$52bobobboo41bo$56b4o35boo$56boboo
35bobobbobo$48bo46bo3bobo$47boo49boobbo$47bobobb5o42bobo$51b6o36boo3b
oo$50bo3boo36boobob3o19boo$51bo42bobo22bobo$113boo4bo$91boo20bobo4bobo
$83b3o5boo3bobo14bo6b3o$83bo6bobo23bo$84bo4boo25boobobbo$86b4obo27b4o$
87boo22boo8bobbo$111bobbo5bob3o$111bo3b4ob3o$113bo6bo$114b5o3b3o$115b
oobobo$119bo!
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Re: Spaceship Discussion Thread

Post by dbell » March 1st, 2024, 9:13 pm

Here is a smaller diagonal c/4 period 116 rake.

Code: Select all

#C A diagonal c/4 period 116 sideways rake.
#C This is a slightly smaller version of a previous rake.
#C David I. Bell, 2 March 2024
x = 155, y = 187
120boo$120bobo$120bo$123bo$123boo$123boo$122boo$113boo6boo$113bobo3boo
bbo$113bo5b3o$116bo$116boo$120bo$119bobo$120bobo$88bo33bo$87boo32boob
oo$87bobo31bo$68bo38boo12bo3bo$67b5o18boo14boo11boo$67bobboo6bobo3b3o
3boo8boo6bo9boo$69boobo4boobbobbo12boob5o5bob4obbo3bo$75boboo3b3ob4o6b
o5b3o4bo6bobobbo$66boo4bobo4bobbo6bo5boobobo6bobo5bob3o9boo6boo$66bobo
4b3o3boo7boo4bo4boobob5o4boobboo9boo7bobo$66bo11bo15boboo3boo5bo9bo10b
oo6bo$69bo3boboobboo3bo9bo4bo8bo3bo3bobboo5b3o11bo$22boo45boo4bo4bobb
oo4boobbobbo11boobboobbo9b3o10bobo$21boo9bo37bo12bo3boob6o3bobboo4b5o
3b3obob3o7boo5bobo$23bo6boobo30boo3bobbob3o3boob3obo6bobbobboo9bobbobb
4ob4o6bobo4bo$25boobboobbo30bobobboo3bo8b4obbobobobb3ob8o9boo5boboboo
bbo6bo$25b4obbo26b3o3bo4b7o4bobo5bo6bo9bobo4bobo7bo5boo5bo3bo$27b3o28b
o6boo5boo4boo6b5oboobboboobboobo18booboo5bo4bo$28bo30bobboobb3obo7bo7b
oo7bo18boo10boo6bo3bo$24b3oboobo4b3o7b3o13boo3boo5bo4bo46bo7b3o$24b3o
bbobobboob5o4bo14bobobbobbo3bobo22boo28boboobo$24bo3bobbobbobbo4boo3bo
13boo3boo9boo4b3o4boo6bobo26bobo$29bo5boobo3boboo15booboo4b3o3b3o3bo7b
obo5bo28bobbobbo$24boo8bobobo12bo10bob4o3boboob3obo4bo4bo10bo$25b3obbo
bboo5b3o3booboobo5boobbobb3obo14bo16b3o$25boobobo7bo8boboobbo3boo4boo
3bobo9b3obo6bobobo$20boo4bo4bo4bo12boob3o4bo19boob3obbobbobb4obboo$20b
obo3bo4boboo19bo12bo11bo4b6o6b3o$20bo4bo4bo13bo9bo5boo5bo18bobbo3bo4bo
$23boboboo8bo5boo7bobbobboo3bo3b4o18bo3bo4bo$23b3o3bo6boo5bobo9bobbo
10bobo18bo$22bo4b3oboo3bobo4boo8bo3boboo3bo$22b11o10bo7boo4bo3bobbo4b
3o$23boo6bo7boobobo4boobobo3bobbobbo$23bobbo11b6o5bobobbo4bo7bo6bobo$
24bo12bo6boobo3bo3b5o7bo6bobbo$20boobboboboo3b3o9bo4boo4boboobbo11bobo
$19boobob3o6bobbo6bobo4bo6bo13boo6bo$21bobb3obboo3bo22bo13bobo3bobboob
oo$21boobo4boo5bobo29b4obboobo4boobo$21boobo4bo8bo28b3oboobboo7bo$21b
3o14bobo32bobbobo3bo$21bobooboobboo32bo12boo3bo$14boo9bo4boo8boobboo
17boo14b3o$14bobo4boo21boobbobo7bo4bobo$14bo7bobo5bobo7bobo3boobobo5b
oo$17bo3boo7bobo7b3o4bo4bo4bobo5boboo$17boo11bo8bo24boo16bo$21bo10bo7b
oo9bo8boobboo15bobo$20b3obboo4bo3bo10bobo11boobboo14bobbo$16boobbo3boo
5bo3boo8b4o7bo4boo4boo12boo$16bobb3o4bo4bo3bo9bo9b4obb4o4bo$16bob3o9b
oobbobo18bobb3o3b3o$17bobbo8boboo24bo9bo$16bo11bobbo26b5obbo$14b3o11bo
33bo4boo$13boo14boo32boo$12boob5o11boboo$11boo20bo$10boo3bo11boobbo4bo
$10bobobo12bo6bobo$5b3oboobo14bo7boo90bo$3obbobbo3bo15bo4bobo58bo12boo
17boo$o6bo4bo15boo3b3o57bobo11boo12bo4bobo$bo4boo4bo15boobbo60bobbo5b
oo16boo$3b6o85boo6boo16bobo5boboo$4boo28bo92boo$33bobo68bo18boobboo$
30boboo69boo18boobboo$29b5oboobo48bo15bobo13bo4boo4boo$28boobo4bobbo
46boo30b4obb4o4bo$27boo8b3o41bo4bobo29bobb3o3b3o$26boo9boo41boo26boo
10bo9bo20bo$19boo6boo9bo41bobo5boboo9boo9bo8b5obbo21boo$19bobo3bobbo6b
ooboo47boo11bobbo4bo4bo11bo4boo18bobo$19bo3bo3bo7bo47boobboo11bobbo9bo
12boo$22boo12bo46boobboo12boo5bo3boo39boo$22bo3boo51bo4boo4boo61boo$
78b4obb4o4bo15bobbo$78bobb3o3b3o61boo$80bo9bo59bobbo$81b5obbo60boobo$
85bo4boo34b3o16b3o$86boo38bo18bo$129bo11boo3bo$126bobbo10boo5boboo$
127bobbo11bo5b3o$128bo15bob4o$130bobobboo6bobboo$132boobobbo3boo$138bo
bob3o$138bobo$133bobo$109boo$108boo$103boo4bobo$102boo5boobo$104bo5bob
o$106boobbobo$106b4obbo$108boobboo$101boo6bo4bo$100boo3b3oboo3bo$102bo
b4obbobo$110bo$104bo3bobbobo$104bo3bo4bo$109bo4$126bo$125bo$125b3o56$
126bo$125bo$125b3o!
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Re: Spaceship Discussion Thread

Post by dbell » March 2nd, 2024, 1:32 am

I made a collection of the compound diagonal c/4 rakes with periods less than 500 based on the clean period 72, 80, and 116 rakes and the known period multiplier convoys. This collection doesn't include the clean but huge period 216 (72 * 3) or period 432 (72 * 6) rakes.

Code: Select all

Period  Base   Multiplier   Note
144      72     2
160      80     2
216      72     3           Huge
232     116     2           Pseudo-period
240      80     3
288      72     4
320      80     4
360      72     5
432      72     6           Huge
464     116     4
480      80     6

Code: Select all

#C A diagonal c/4 period 144 sideways rake.
#C This is based on a period 72 rake whose period is
#C multiplied by two.
#C David I. Bell, 2 March 2024
x = 277, y = 162
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
13bo5bo20boo5bobbo3bobbo6boo$19boobobbo9boob3o20bo3bo3b3o3bobboboo$15b
3o43bobobo7bo$14bobooboo3bo18bo$13bo3b5oboo19bo$13bo8boobo16b3o28boo$
13b6o4bobbo45boo$14booboo7bo20bo26bo$15bo10bo21bo27boo$14boo10bo19b3o
26bo5bo$15bobbo6bo53boobo$15bo10bo24bo28bo3bo100boo$15bobbo33bo23boobb
3o102bobbo$16bo4booboo24b3o23boobo105bob3o$21bo3bo38bo13bo3bo106bo$21b
oboo3bo26bo7boo11boo5boo97boboo3bo$26bo29bo6bobo10b3o102b5obobo$28bo
25b3o10bo7boboo102bobbo$25bo40bo3booboobobbo102bobbobbo$21bo3boboo30bo
6bo3boob3o107bobo$20boo3bo34bo11boboo99boo3bobbo$20bobobboo31b3o7bobbo
4bo97boobbobobbo$25boo41b3o93booboo5bobb5o$24boo37bo3bobbo93bob3oboob
oo3bobbobo$25boo37bo3bobobo91bo9bobbo4bo$24boo36b3o8bo87boobobboboobbo
13boboo$22boobbo28boo12bo3bo87bo3bo19b3obooboo$22b3o29boo11bo31boobo
51bo6bob3o18boobbobboobo$22bobboo29bo3bo7bo30bo3bo37boo10boo9bo3b3o13b
o$58boo6b3o30bo4bo36bobo9bobobb4o3b3ob3o14bo$20boo35bo4boo37boo13boob
oo13boo5bo15b3oboobboobbobo9b3o$20booboo29boboobo4bo38bobo10bob3o13bob
o3boobbo11bobbobo7b4o4bobbo4bo$21bo31b6oboobbo8bo42bobboo3boo8bo11bo
29boobbobbo$22boo24bo4bobboo6bo9bo23bo6boo16booboboo7bo3boo3b3o6bobbo
9b3o5boboobboo$47boo6boobboo3bo4bo4bo22b5o4bobbo10bo5boboo7boo4boo4bo
4boo3bo8b3o7boo$42b3obbobo10bobobo3bo22boo4bo6boo14bo5bo3bo12b7o3boo4b
o4b3o8booboo23bo$42bo11boboo4bobobbobobo19bobo11bo22bo15b4o4bo6boobbo
4boo4b6o12bo9boo$45bo4boobobobo5boo3boobbo18bo5boboo6bobo20bobo20bobob
obbobbobb11o4bo7boobo9bobo$42bobbo4b3o7boobo5b3o4bobo13boo4bo4bobo26bo
23boo5bo3b4obo8bo4boobo4bo$43bobbo5boo6b3o9bobboo15bobbo6b3o27bobo6bo
5boo4boobo4bobo21bo5b4o9bobo$44bo15boo8b3ob3o15bo6booboo33b3ob3obboo5b
o6b4o10boo8bo3bo5bo7booboo$46boboo3bo3bo3boo12b3o16bobobobbo32bob4ob3o
3bo4boboo3bo5bobboo3boo9bo3bo5bobbob6o$48bob4o4boo11boo8boo61bo3boobo
bboo3boboo3boboobboob4o5boo3boo6b3obboo$48boboobobo5boo8boo7boo14bo4bo
42boob3obobo4bo3boobbobo11bo5bo3boboo3b3obboo$45b3ob4obo7bo18bo15b4o
40b6o3bobboobboo3boo4bo4boo5bo4b3o5b4o3bobo$44bobo16bo15boo4boo49b3obb
3oboo3bo3bobo5bo5bo6bobo3b3obo8b7o$44bo3boo6booboobo13boobo4bobo41b3o
4bobboboo12bobo5bo5bo3bo6bobb5o5bobbo6bo$44bob3oboo3boo5b5o10bobo4boo
42bo6bobbo8bobobbobo14bobboo3b3oboboo7b4o7bo$47boob3obo8boobo62bo4boob
o9bob3obo18bobb3oboobbo7bo6bo4bo$45b3o4bo78b4o4boo6bobboboo25bobobbo
15bobbo$45b3o16boo68bo3boobo9bo25bobo8b3obobobbobboo$50boo3bo4boobo27b
o40b3o3boo9boobobbo20b5obb8obo3bo$44bobo3boo3bo3boobboobo14bo9bo42bo3b
o17boo18bo3bo7bo6bo$43boobo5bo8boboo15bobo8bobbobo4boo3boo21b3obbooboo
16boo28boo$52boboboo9bo12bobo11bobbobbobbo3b3o19booboobb3o$39b3o4bo5b
3o10bo15bo14bo3bobbo3bobboo16bobo9bo18bo$39bo5boobobboobo36boobo4bo3bo
4bo19boob3o5boo19boo$40bo4boobobbobobboo3bo3b4o23b3o4bobbo5bobbo20bo4b
oboo18boo$42b4obo3boo7boo3b4o24b4o3boo7boo19bo8boo$43boo7bobbo4bobo24b
o8bo9bo23boo7boo22bo28boo$52bo11boo20bobo7bo8bobo22bobo7bo23boo26bobo$
49boo4bo8b3o19bobo17bo24b3o6bobo20boo27bo$48b3o3b3o24bo5bo10b3o30b3o
61bo$46boo4bob3o7bo15boo49bo5bobo27bo27boo3bo$46boobbobobobo7bobo13bob
o53booboobo25boo25boobbobo$45bobobbobboo5bo75boboo3bo23boo27boboobbo$
46boboo4bo4boo4b3o41bo31boo53boobob3o$44boobboo4bo4bobo3bobo35bobobb3o
31boo27bo24bobo3boo$44b5o3boboo8bo38bo4b3o30boo29boo22bo5bo$49bobbo9b
3o38bobboboob3o26b3obo26boo9b3o17boo$47b3obbobo8boo41boobbo3bo20b3obbo
41bo12boo$44bo3boo4bo51boobbobobo20bo39bo7bo10boboo$45boo7bobo43bo7boo
3bo22bo3boo34boo7b3o5bo4bo$48boo3boo38bo4bobbo38bo34boo9b6oboo3bo$42b
oo4boo3bobbo38bo5bo38bo48bo4bo$42bobobbobboob3o26b3o5b3obbobbooboo36b
oo38bo8bobo4boo$42bo3bobbooboo28bo7b3o6b3o36bo41boo5b3o$45b5o3bo22b3o
6bo3bo15bo31booboo37boo5bo$46bo29bo6bobbo3bo13bobo80bobo$53bo23bo6bob
oo16bobo29bo4bo41bo4b5o$32bo17bobbo25boo3boboo17bo30bo47boo3boobo$31b
oo11b3obb3obbobo23bo3bobo49boboo43boo$31bobo10booboo7bo27boboo48bobo
49bo$45bobo3boo3bo17b3o3boo6bo48boo49boo$34boo10bobobboo21bobboobbob3o
bo102b3o$34boo14bo3bo20bobbobboobo102boobboo$43b3o3bobo25boobooboobo$
25bo6boo3bo5bo3bobbo32bobbo$24boo5bobbobobobboboo6b3o28boobbo6boo35b3o
33b3o33b3o69b3o$24bobo3boobo3bobb3o8bobbo37boo3bo25b3o6bo35bo35bo71bo$
28bo9b3o11b3o39boboo20boo6bo4bo35bo35bo71bo$27bo12bo10bo3bo40b3o19boo
bbo3boo$27bobbo10bo12boo40bo28b4o$41bo9bo4bo41b3o21b3obbobo$50b3obbobb
o40boo$52bobo4boo38boo$47boobbobbobbobobo37boo16boo$47bo6bobobboo38boo
17bobooboo$47bobo9bo39boo17bobo3boo$53bo6bo39boo17bo5bo$52boo6bo40bo
17bo3bo$52bobobboo41bo13b3o3bo$56b4o35boo26bo$56boboo35bobobbobo19boo$
48bo46bo3bobo$47boo49boobbo$47bobobb5o42bobo$51b6o36boo3boo$50bo3boo
36boobob3o19boo$51bo42bobo22bobo$113boo4bo$91boo20bobo4bobo$83b3o5boo
3bobo14bo6b3o$83bo6bobo23bo$84bo4boo25boobobbo$86b4obo27b4o$87boo22boo
8bobbo$111bobbo5bob3o$111bo3b4ob3o$113bo6bo$114b5o3b3o$115boobobo$119b
o!

Code: Select all

#C A diagonal c/4 period 160 sideways rake.
#C This is based on a period 80 rake whose period is
#C multiplied by two.
#C David I. Bell, 2 March 2024
x = 345, y = 176
19b3o$19bo$20bo$19b3o$19b3oboo3$22bo$21boo$21bo$22b3o$$22boobo9boo7boo
$22boo11bobo4boobo$24bobo8bo6b3obb3o$38bo3bobbobbob3o$26b3o9bobobboboo
bb3o$38bobobbobo4boo$19b3o6bobo6b6o$19bo15b3o4bo16boo$20bo9bo3bo8bo9b
oo4bobo6b4o$22boo5boo3bobbo4boobbo5boo5bo6bo5bo$23bo5boo3b3obb5o10bo
10boo3b3o53b3o$29boo7b3o4b4o3b3o9bo5bo55bo$20bo14bobbo5b7obbo4boob4obo
60bo$17b4obo5b3obb3o3bo15boboobbo4bobo60boo$17bo4bo6boobboo15bobbob4o
71bo$18bo4boo4boobboo19bobo$20bobb3o5b3o24bo68boo$24boo6b3o84b3o5boo$
21booboo3bo3boo84bo6bobo$22boboobb3obo3b3o81bo4boo$22bobo3bobboo89b4ob
o$23boo6boo3boobbo82boo$33boobboobo86bo$31boo4bobo86bobo91boo$25bo4bo
5bobobo86bobo90bobbo$17boo5boboboobboo3boo55boo124bob3o$16boo5boo3bob
oob4obboo52boo32bobboo92bo$18bo3boobbo3boo7boo54bo18bo12bobboo85boboo
3bo$20bo6boo5boo38boo21boo14boo13bo87b5obobo$19bo6boo5bo8bobo28boo3bo
6bo5boo3bo16bobo9boboo87bobbo$18boobbo9boo9boo30boboo5boo5boo12b3o12bo
boboobo89bobbobbo$18b3obb3o4boo11bo33b3o3bobboboo3boo3bo4boo3boboo4boo
bobbobobo91bobo$18bo6boobbo47bo4b5o7bo7bobbobobbo6bobbobbo12bo73boo3bo
bbo$14b3ob3o7boobo14bobo23b3o4boobbo5boo3bobbo3bo5bobob4o5boobo11boo6b
3o63boobbobobbo$14bo4bo9bob5o11boo23bo7b4obo10bo3boobo8bo3boobboo13bob
o5bo55booboo5bobb5o$16bo8b5obboo13bo25bo6bobbobo22bobobo3bobb3obboo18b
o54bob3obooboo3bobbobo$11b4oboo6bo50b3obbo4bobobboo4bo3b3oboo3bo6bobb
oobbooboo4b3o11boo51bo9bobbo4bo$11bo3booboo4bo5bo19bobo27bo3bo4boobbob
obob3obbo3bo5bo4boobobbob3obbo12boo49boobobboboobbo13boboo$12bo5boo4bo
bo4boo18boo25boo3bobb3obb3o4bo4bo4bo7bobbob4obboboob3o3b3o55bo3bo19b3o
booboo$11boobo3bo7boo23bo18b3o3bob4obo3boo3bo3b3obbo10bo3bobbo3bo3bobo
3bo4bo5bo44bo6bob3o18boobbobboobo$11boo4bo4boob3obb6o29boo3bo4b3o5bo9b
3o4bo3b5ob3o6bo8boobooboo3bo4bo31boo10boo9bo3b3o13bo$14bobb4oboob3obb
oo4bo17bobo8bobo5boboo8b3o4boobo4bo4boboo5bo5bo8b3oboobo4bobbo31bobo9b
obobb4o3b3ob3o14bo$12bobobbooboboobboo27boo8bo3bo3bobo9boo5bo4bobbobbo
17bo9boo7b3obbobo3booboo13boo5bo15b3oboobboobbobo9b3o$12bo5b3o5bo28bo
12boo3b4o8boo15bo18bo29bob3o13bobo3boobbo11bobbobo7b4o4bobbo4bo$20bo5b
oo3bo3b3o30bo11boo69bobboo3boo8bo11bo29boobbobbo$12bobo11bo3boobobbo
21bobo6b5oboo3bobo9boo12b3o26boob4obbo15booboboo7bo3boo3b3o6bobbo9b3o
5boboobboo$10b4o11boobboobbo25boo9booboobbo3bo8bobo3b3o5bo29bo3bo16bo
5boboo7boo4boo4bo4boo3bo8b3o7boo$9boo13b3obbobobbobbo21bo10bobooboo3bo
b5o3bo5bo8bo29bo19bo5bo3bo12b7o3boo4bo4b3o8booboo23bo$9bo11boob3o4bo5b
obboo28bo4bo4bob6obbobo4bo9b3o53bo15b4o4bo6boobbo4boo4b6o12bo9boo$11bo
bo6boo3bo5bobbobooboo21bobo4boboo4bo5boo3bobobo6bo65bobo20bobobobbobbo
bb11o4bo7boobo9bobo$10b3o9b4o5bo4bo3bo22boo5b8o11bobboo4b4o4boobo57bo
23boo5bo3b4obo8bo4boobo4bo$11bo10b4o9b6o22bo7b5o9bo5boobb3o4boob4o58bo
bo6bo5boo4boobo4bobo21bo5b4o9bobo$9b3o8boo10boo3bobboo13b3o28boo11boo
71b3ob3obboo5bo6b4o10boo8bo3bo5bo7booboo$5boo4boo6bo6boo6bobobo16bo10b
obo26bobbo5b3o62bob4ob3o3bo4boboo3bo5bobboo3boo9bo3bo5bobbob6o$4boobo
5bo5bobbo11boo20bo10boo6b3o18boo81bo3boobobboo3boboo3boboobboob4o5boo
3boo6b3obboo$5bobb3obo6boboo11b4obbo17boo7bo111boob3obobo4bo3boobbobo
11bo5bo3boboo3b3obboo$4b3o9boo11b3o3boobobo18bo3boo111b6o3bobboobboo3b
oo4bo4boo5bo4b3o5b4o3bobo$3obooboo6boo3bo7bobbob3o4bobo19boo107b3obb3o
boo3bo3bobo5bo5bo6bobo3b3obo8b7o$o14bobbo8bo4boobo4bobo22boo96b3o4bobb
oboo12bobo5bo5bo3bo6bobb5o5bobbo6bo$bbobbo8boo11bo5bo6bo18b6o98bo6bobb
o8bobobbobo14bobboo3b3oboboo7b4o7bo$boo4bo8bo12boo8b3o17bobboobo6boo
18bo71bo4boobo9bob3obo18bobb3oboobbo7bo6bo4bo$bb4o8boo10boo3bo7boo5boo
13bo4bo5boo17b3o72b4o4boo6bobboboo25bobobbo15bobbo$14boo10bo4boo6boo5b
obo10bo6bo23booboo74bo3boobo9bobboo21bobo8b3obobobbobboo$16bo11bo8bo8b
o11bo35boo71b3o3boo9booboboo20b5obb8obo3bo$15boo8boobo3bobboobboo8bo7b
oo3bo3bo21bo5bo74bo3bo37bo3bo7bo6bo$15bo12bo3boobbo12boobboobobb3o3boo
21bo4bo21bo10boo36b3obbooboo18bo27boo$16bo10b4obboobobbo13bo5bo5bob5ob
o14b5o21b5o6boo37booboobb3o19boo$33b4o4bo11bobo3bo8bo3b4o38bobboo8bo7b
oo26bobo9bo16boo$33boo5bo10boboo3bo8bo3bo44boobo5boo6b3obo25boob3o5boo
$30b3obo4bo10booboo11b3o56boo3boboo33bo4boboo20bo$31boobobbo12bobbo13b
ob4o46bobo6boo35bo8boo21boo$30b3obo17bobo5bo5boo3bobo27boo21b3obo4bo
31boo7boo20boo$30bobboo3boo12bobboobb5oboobob3obb3o22bobbo17b3o3bo4bo
32bobo7bo$30bo8bo19bo8b3o5boo22bobo19bo7bo35b3o6bobo22bo28boo$25boobb
5obo31boobbo29bo20bo6bo36b3o32boo26bobo$24boo3b4o3b3o20boboob5obboboo
22boo67bo5bobo25boo27bo$26bobobo20booboo4bo5boobboo25boo26bo45booboobo
54bo$29bo21bob3o115boboo3bo25bo27boo3bo$28boo21bobboo3boo7boo3boo36bo
9bo54boo27boo25boobbobo$58boo8boo4bo35bobo7bobo54boo25boo27boboobbo$
55bo3boo9bo3b3o32b6o4booboo52boo55boobob3o$55bo3b3o3boobbo4bobo32bob4o
5bobbo51b3obo28bo24bobo3boo$59bo5bo8bo34boobobo5booboo45b3obbo33boo22b
o5bo$60boo3bobo9bo31bo3bo7bobo46bo37boo9b3o17boo$72bobb3o31bob3o8bo48b
o3boo42bo12boo$71b5o31booboboo61bo36bo7bo10boboo$71bobbo33bobb3o61bo
37boo7b3o5bo4bo$73boo19boo11b3o64boo36boo9b6oboo3bo8boobo$74bobboo14b
oo9bo3boo63bo52bo4bo12bo3bo$71bo4boo17bo6boobo66booboo39bo8bobo4boo10b
o4bo$72boboboo19boobboobbo111boo5b3o19boo$74boobobbo16b4obbo67bo4bo39b
oo5bo24bobo$75bo4bo18b3o20boo47bo52bobo$80bo19bo21boo47boboo45bo4b5o
13bo6boo$75bobo4b3o11b3oboobo67bobo47boo3boobo12b5o4bobbo$77boobo15b3o
bbobo68boo46boo14boo4bo6boo$80bo19bobbo121bo10bobo11bo$95boo4bo123boo
9bo5boboo6bobo$95bo141boo4bo4bobo$224b3obo8bobbo6b3o$226boo9bo6booboo$
150bo39bo38boo8bobobobbo$150boo38boo36b3o$149bobo37bobo37bobo9bo4bo$
229bobo10b4o$133boo$126boo5bobboo$126boo5bo3bo$134bo4bo$135b3obo$138b
oo$124b3o$124bo$127bo8b3o$124bobbo8bo$125bobbo8bo4boo$126bo11boobbobo$
128bobo$130boo4bo4bobo$131bo3bo4boo79bo$130boo4b4o80boo$129b3o4boo82bo
bo$124boobooboo$124bo3boboo91boo$124bob3obbo91boo$129boo$128b3o88boboo
$218b4o40b3o77b3o$218bo3boo40bo79bo$127b3o93bobbo36bo79bo$127b3o$222b
oo3bo14bo$126boo94boo3bo13boo$126bo96bo17bob5obo$223bo20bo3b4o$224boo
17bo3bo$242b3o$243bob4o$236bo5boo3bobo$235b5oboobob3obb3o$235bo8b3o5b
oo$243boobbo$235boboob5obboboo$227booboo4bo5boobboo$227bob3o$227bobboo
3boo7boo3boo$234boo8boo4bo$231bo3boo9bo3b3o$231bo3b3o3boobbo4bobo$235b
o5bo8bo$236boo3bobo9bo$248bobb3o$247b5o$247bobbo$249boo$250bobboo$247b
o4boo$248boboboo$250boobobbo$251bo4bo$256bo$251bobo4b3o$253boobo$256bo
!

Code: Select all

#C A diagonal c/4 period 232 sideways rake.
#C This is based on a period 116 rake whose period is
#C multiplied by two.  This is not a true period rake
#C since it has small sections which have period 16.
#C David I. Bell, 2 March 2024
x = 452, y = 155
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
$34bo4bobo6boo8bobbo3bo110boo86boo$41boo5b3o7bobbo114bobbo84bobbo$38b
ooboo4bo4bo8bo114bob3o83bob3o$38booboo9bo6boo119bo87bo$40bobo3boo125bo
boo3bo80boboo3bo$43bob3o124b5obobo79b5obobo$41bo3bo3bo16bo105bobbo84bo
bbo$46bo4bo13boo106bobbobbo81bobbobbo$43bo3boboobo7bo4bobo106bobo85bob
o$39boo3bobb3obo7boo105boo3bobbo79boo3bobbo$30b3o5boo3boo3bo10bobo5bob
oo94boobbobobbo78boobbobobbo$30bo9bo5bo19boo87booboo5bobb5o70booboo5bo
bb5o$31bo3bo6bo6boo11boobboo87bob3obooboo3bobbobo68bob3obooboo3bobbobo
$33b3o7b7o12boobboo87bo9bobbo4bo69bo9bobbo4bo$32boobo3bo18bo4boo4boo
81boobobboboobbo13boboo58boobobboboobbo13boboo$29boo4b4obo16b4obb4o4bo
80bo3bo19b3obooboo55bo3bo19b3obooboo$29bo5boobb3o15bobb3o3b3o76bo6bob
3o18boobbobboobo47bo6bob3o18boobbobboobo$23boo4bo7bob3o7boo8bo9bo62boo
10boo9bo3b3o13bo44boo10boo9bo3b3o13bo$19bo3bobo5b3ob3obboo6bobbo8b5obb
o64bobo9bobobb4o3b3ob3o14bo42bobo9bobobb4o3b3ob3o14bo$18boo3bo9boboo3b
5o3bobo13bo4boo36booboo13boo5bo15b3oboobboobbobo9b3o20booboo13boo5bo
15b3oboobboobbobo9b3o$18bobo5bo3b4o3booboo7bo15boo40bob3o13bobo3boobbo
11bobbobo7b4o4bobbo4bo18bob3o13bobo3boobbo11bobbobo7b4o4bobbo4bo$26bo
bb3obo3bobbo66bobboo3boo8bo11bo29boobbobbo20bobboo3boo8bo11bo29boobbo
bbo$20b3o3bo3bo5bobboo73booboboo7bo3boo3b3o6bobbo9b3o5boboobboo27boobo
boo7bo3boo3b3o6bobbo9b3o5boboobboo$19b3o6boo5bo75bo5boboo7boo4boo4bo4b
oo3bo8b3o7boo28bo5boboo7boo4boo4bo4boo3bo8b3o7boo$21bobo4boo81bo5bo3bo
12b7o3boo4bo4b3o8booboo23bo4bo5bo3bo12b7o3boo4bo4b3o8booboo23bo$23b5ob
o4booboo80bo15b4o4bo6boobbo4boo4b6o12bo9boo12bo15b4o4bo6boobbo4boo4b6o
12bo9boo$24bo4bo4bobo25boo57bobo20bobobobbobbobb11o4bo7boobo9bobo13bob
o20bobobobbobbobb11o4bo7boobo9bobo$22bobo12boo23boo59bo23boo5bo3b4obo
8bo4boobo4bo25bo23boo5bo3b4obo8bo4boobo4bo$21b5obb3o6b3o83bobo6bo5boo
4boobo4bobo21bo5b4o9bobo13bobo6bo5boo4boobo4bobo21bo5b4o9bobo$20bobo4b
o9b3o53bo34b3ob3obboo5bo6b4o10boo8bo3bo5bo7booboo18b3ob3obboo5bo6b4o
10boo8bo3bo5bo7booboo$19boobob3o4b3o3boobbo16bo33boo31bob4ob3o3bo4bob
oo3bo5bobboo3boo9bo3bo5bobbob6o17bob4ob3o3bo4boboo3bo5bobboo3boo9bo3bo
5bobbob6o$21boo5bobb3o3boo3bo13b4o27bo4bobo40bo3boobobboo3boboo3boboo
bboob4o5boo3boo6b3obboo28bo3boobobboo3boboo3boboobboob4o5boo3boo6b3obb
oo$26boboobo6bo3bo12b4obo25boo47boob3obobo4bo3boobbobo11bo5bo3boboo3b
3obboo28boob3obobo4bo3boobbobo11bo5bo3boboo3b3obboo$21bo6boo9bo14boob
ooboobbo21bobo5boboo34b6o3bobboobboo3boo4bo4boo5bo4b3o5b4o3bobo26b6o3b
obboobboo3boo4bo4boo5bo4b3o5b4o3bobo$21bobo3bo12bo14bob4obboboo26boo
32b3obb3oboo3bo3bobo5bo5bo6bobo3b3obo8b7o23b3obb3oboo3bo3bobo5bo5bo6bo
bo3b3obo8b7o$23bobboo7b5o16boobo6boo21boobboo24b3o4bobboboo12bobo5bo5b
o3bo6bobb5o5bobbo6bo13b3o4bobboboo12bobo5bo5bo3bo6bobb5o5bobbo6bo$19b
oo5bobo6bo5bo21booboo21boobboo24bo6bobbo8bobobbobo14bobboo3b3oboboo7b
4o7bo12bo6bobbo8bobobbobo14bobboo3b3oboboo7b4o7bo$19boo7booboo3bob4o
23bo6bo12bo4boo4boo22bo4boobo9bob3obo18bobb3oboobbo7bo6bo4bo13bo4boobo
9bob3obo18bobb3oboobbo7bo6bo4bo$16bo4bo5booboo8bo31bo11b4obb4o4bo23b4o
4boo6bobboboo25bobobbo15bobbo15b4o4boo6bobboboo25bobobbo15bobbo$15boo
4b3o6bo41bo11bobb3o3b3o29bo3boobo9bobboo21bobo8b3obobobbobboo20bo3boob
o9bobboo21bobo8b3obobobbobboo$15bobo9bobboo9bobo42bo9bo26b3o3boo9boobo
boo20b5obb8obo3bo23b3o3boo9booboboo20b5obb8obo3bo$19bo4bobobbo6boo3bo
bbo23b3o3b3o10b5obbo30bo3bo37bo3bo7bo6bo26bo3bo37bo3bo7bo6bo$18bo4bo3b
obobbo3bobobbobbo46bo4boo22b3obbooboo18bo27boo30b3obbooboo18bo27boo$
18bobbo6boo6bo3bobbo28bo19boo26booboobb3o19boo57booboobb3o19boo$27bo
11boobo29bo46bobo9bo16boo57bobo9bo16boo$24boboobb3o7bobo29bo46boob3o5b
oo75boob3o5boo$23booboobo10bo23boo57bo4boboo20bo58bo4boboo20bo$22bo3bo
6bo7bo22boo55bo8boo21boo54bo8boo21boo$21bobbo3bo3bo8bo38bo40boo7boo20b
oo29boo24boo7boo20boo29boo$21bo4boobbo4boo6bo35bobo39bobo7bo51bobo23bo
bo7bo51bobo$20bobo3bo3boo3bobo3bobo34bobbo40b3o6bobo22bo26bo26b3o6bobo
22bo26bo$20bo9bo4bo4boobo35boo41b3o32boo27bo23b3o32boo27bo$20boboo6boo
6boboo74boo4bo5bobo25boo28boo3bo18bo5bobo25boo28boo3bo$21bo3bobooboo6b
obbo73boo10booboobo52boobbobo22booboobo52boobbobo$23bobbo11bobo69boo4b
obo8boboo3bo25bo26boboobbo21boboo3bo25bo26boboobbo$21boobbo4bo78boo5b
oobo12boo27boo24boobob3o25boo27boo24boobob3o$21bobo6bo80bo5bobo13boo
25boo25bobo3boo26boo25boo25bobo3boo$23b3o3boo82boobbobo12boo53bo5bo26b
oo53bo5bo$18boo3bo89b4obbo11b3obo28bo8b3o17boo24b3obo28bo8b3o17boo$17b
oo4bo3bo3bo83boobboo5b3obbo33boo6bo12boo26b3obbo33boo6bo12boo$19bo88b
oo6bo4bo4bo37boo8bo10boboo25bo37boo8bo10boboo$21bobb3oboo64boo11boo3b
3oboo3bo5bo3boo43b3o5bo4bo25bo3boo43b3o5bo4bo$21boobo68bobbo12bob4obbo
bo11bo36bo8b6oboo3bo29bo36bo8b6oboo3bo$94bobo20bo13bo37boo9bo4bo33bo
37boo9bo4bo$7boo12bo3b6o64bo15bo3bobbobo9boo36boo9bobo4boo30boo36boo9b
obo4boo$7bobo10bob6o3bo66bo6bo5bo3bo4bo8bo48b3o36bo48b3o$7bo15b3obbo3b
oo63bobo4boboo8bo11booboo39bo4bo38booboo39bo4bo$10bo9boo5boo67bo3bo7bo
64boo3bobo80boo3bobo$10boo10boobboboo67bobo3boo4bo17bo4bo39boo5b5o31bo
4bo39boo5b5o$10boo8boo3boobo56bo12bo3bobboo3bo16bo52boobo31bo52boobo$
9boo8boo4bobo56boo16boo3boo18boboo45bo38boboo45bo$oo6boo3bo7bo4bo52bo
4bobo14bobbobbooboo15bobo47boo36bobo47boo$obo3boobbobobobooboo5b4o48b
oo27b5o16boo46boo38boo46boo3boo$o5b3o4bo4boo7bobbo47bobo5boboo12b5ob5o
156boo$3bo10bo12b5o53boo17bobo5bo$3boo11boo10bobbo49boobboo18b3o$16boo
12b3o48boobboo18b3oboo$26b3obobo44bo4boo4boo17bobo49b3o55b3o113b3o113b
3o$26boboobo3bo40b4obb4o4bo5b3o9bo52bo57bo115bo115bo$26boboboo3boo39bo
bb3o3b3o8bobb3o58bo57bo115bo115bo$23boo5bo6bo40bo9bo8bobo$22boo7bo3bo
43b5obbo15bo$24bo10bo47bo4boo10bo$28boo5boo47boo16bobo$28bobo4bo69bo$
28bo3bo69bobbo$31boo69bobbo$32bobbo66bobbo$23boo$23bobo3b3o71bobo$23bo
3bo4bo72bo$26boo$26bo5bo66boo4bo$98boo4boo$100bobboboo$102booboo$$96b
3obbo$96bobb3obo$97b6o$$88bo6boo$87boo5bobbo$87bobo3boobo$91bo$90bo$
90bobbo!

Code: Select all

#C A diagonal c/4 period 240 sideways rake.
#C This is based on a period 80 rake whose period is
#C multiplied by three.
#C David I. Bell, 2 March 2024
x = 395, y = 287
20boo$19boobo$20bo$20bobbo$20bo3bo$20bobbo3$21b3o$21bo$22boo$23boo$23b
obo10bo7boo$23bobo9boo6bobbo$23bo11bobo4boo4booboo$26boo14bobbobbo$38b
oo4boo3bobbo$27bobo8b3obbobo4boo$20boo20bo$19boo8bobo4boo3bo4bo13bo$
21bo13boo6bobo7boo4boo8boo$23boo4bo4b3o5b5o6bobo3bobo5booboboo$22bo6b
oo4bobbobbo4bo6bo12b3oboo55boo$39boo4b3o11bobobboobboo56boo$21bobbo4bo
8bo4bo4boobboobo3bobobbob3o59bo$18boobo7bo4b3obboo3bo5b4obobbobbobbobo
bo61boo$17boo4bo5bo3boo15boob3oboobo68bo89b3o$19bobobbo5bo15bo11bo160b
o3boo$24bo5bobbo23bobo68bobbo90bo$21bobbo7boo86boo5boo90bo$22bobo8bo
85boo5bo89boobo3bobo$22bobo3b3obbobboo83bo4bobo86boo4bobo$23boo4bobo5b
obo83boobbo88bo3boo$23bo6boo4boobbo82boo91boboo$31bobbobbo3bo85bo82bo
5bo$31booboo3bo86bobo80boo5bo$32bob3ob3o86bobo79bob3obb3o$17boo5b3oboo
bobobo3bo54boo33bo68b3ob3o3bobo5boo$17bobo4bob3o7bo3bo53bobo31b3o67bo
bbob3ob4o5boo$17bo5bobbo3boboobbo5bo51bo32boobboo68boo4boboo14bo$20bob
oobobb3o9b3o31boobo19bo15b3o12bo66b4o22bobob3o$19boboob3obboob3obo37bo
3bo13bo4boo14bo11b3o67bo5bo17boobo5bo$19bobboboobbobo14bo28bo4bo4b3o4b
oo4boo7boobbo3bo5boo3bobo60boo8boboboo14boob8o$19bobobboo4boo14bo29boo
5bo4boo5b3o6boboo3bo4bo3b3obbo49b3o9boo6bo5b3obo13bo3b4o$18bo11bo13b3o
31bobobboobobooboob3o5boobobo3bo3b3obbobbo51bo13bobboobo3bobbo13b3o$
15boobboo5boobobobbo38boo8bobb4o7bo4b3obbobo4bobo4boo3bo8b3o6boo4b3o
15b3o6bo13boobbo5bobob3o8bobbo$14boo3bobo7b3o17bo22boo6b3obb3o7boo4bo
3b3obooboobbo4bobo11bo7boo5bobb4obbo8bo6bobo13b3obboo5bo7boobbo3bo$15b
o10b3o3boboo14bo23bo5bobbobo14boo3boob3obooboo3bo4bo11bo7bo5b3ob4obo8b
o4boob4o22boboo3boobboo$12b3obo8boo4boo15b3o25boo3b3obboobboo8booboo9b
oo3boo3bobo6bo13bo5b3obbobboboo6b4ob5oboo5boo12bo7booboo3bo$11boo3bobo
5boo5boo43boo3b3obboobboo3b3o16bo5boboobobooboboobo10bobo11bobbo8boo7b
oobo3bobboboo4boobooboo3boobboo$12bo4b3o4bobo4bo21bo23boobbobo3boo3b4o
b3obboo3b3o5bo6boo3bobo3boo4boo4boo15boobo21boobobo6boob4o4bo4boo20boo
$12bob3o9bo27bo16boo3bobob3o11bobo7bo7b5oboo7bobo8boo5boo18bo22boo6boo
3bo4b3o6boo7boboo8boo$12bob3o5bo3bo3bobboo17b3o11bo3boo3bo7bo3bo5b3o5b
7ob4obo5bo3bo3boobobb3o3bo4b3o17b3o24bobb3o9bo7bo6boobboo9bobo$11bobbo
bbobb4obbo3booboboo28boo4bobobbo5bo3bo3boo6bob3o4bo6bo15boobo11b3o19bo
12bo7bobo11bo5bo11boo4booboo6boobo$14bobboobo5bo5b5o20bo7bobobb4obo9b
oo6bobbo4b3o7bobo6b3o9bo3bo4boobboo20b3o4boo5boo4b6obboo22bo3boo13boob
o$12boo5bo4bobo5boobo22bo10b4obboo3bo4bo7bobbo38bo4boo27b6oboo5bo3bo6b
obo5bo5boo8bo4bo5b3obboo3bobo$13boo5bo3boboo3b4obbo18b3o9bobbo9bo51bo
6b3o27boobboobobobbo3boo5bo6b4o3bo4bo5bo5b8obboo$12b3o6bo4bo6bobbobo
29bobobbo7bo3bo5bo13boo27b4o3boo29boobboobo3boboo3bobo3b4obobbob5o9bo
7boobobboo$11bo14bobboo4boo24bo5bo3boboobb3o5bo4boo5boo5boo28boboboo
32boobb3ob5o3bobo11b3obbo4boo10bo3boo6bo$9boo14bo3bobbob3o25bo8bo5b4ob
o7bobo3boo8bo28bo35boo9bobboo7b4o11bobobboobb3obobboboo4bobo$9bo4bo6b
ooboo5bo5bobboo18b3o6bo4boobbobobooboo11bo9bo54boo6bobbobo5bo3boo3boo
3boo4bobboboboo3b3o3bobo9bobboo$11bobo7bo3bo6b3obo3bobo26bo6boo6boboo
bb3o15boo53bobo4bo4bo13bo12bob3o4b3obbo9booboboobbo$10b3o8boboo7b3obo
3bo24bo4b7o9booboboo6booboo3b3o53bo5boo10b3obo3boo15bobbo5bobo8bo3bobb
o3bobo$24bo7boobbooboobo23bo19bobbo4bobooboo4boo59bo3boo10bobobboboo
15bobobboobbobo12bo4bo3bo$21bo4bo6bo3bo3bo14boo6b3o19boo3bo4boobbobbob
o60boobboob3o6boboo3bo27bo6b3obbo4bo$5boob5o7boo5bo9bo17boo36bobboo7b
oo62b3obboo7boobboobo20b3o5bobo5bobo4bobbo$5bob4obbo5b5o3bo6boo3bo17bo
11bo4bobboo17boo67bobob3o13bo3boo19boobbo4b4obo4bo$5bo7bo5bo15b4o20boo
9bo3b5o86bobo3bo17bo22bobo5bo$4boo5bo4boobo10bo7b3o17bo5bo3b3obbo5bo
84bo6boboo$boo4boo7bob3o8b3obbo5b3o19boobo7boobboo4boo78booboo3bo3bo
16bobo$oo3boboo6bobbo9boo3b3o6bo20bo3bo9bo4bobbo76boobo4boo3bo17boo$bb
o3boo7bobo9boo4bo6bo18boobb3o17boo78bo4bo3b5o16bo$bbobbobo7bo11bobo10b
oo17boobo100bo4bo6b3o46b3o$bboo22booboo3bo5bo6bo13bo3bo7boo100b3o18bob
o25bo$5boo7boo3bo8booboo7bo5boo11boo5boo5boo89b3o8boo20boo26bo$14boo3b
o6bobobbo7bo6bobo10b3o103boo8boo20bo29boo$15bo10bobob3o3b5o9bo7boboo
102b3o61bo3boo$15bo10boboboobboboo11bo3booboobobbobb3o58boo37boo8bo24b
obo28boo$16boo10boo4bo4bobo7bo3boob3o6bo5boobo21boo16b3o9bobo42booboo
25boo31boo$34bobb4o14boboo9b3o3bo20bobbo15bobb3o6bo9bo33boo3bo25bo26b
6o$33bobb5o10bobbo4bo5bo3b3o3bo19bobo17bobo16boobo34boboo52bobboobo$
29boobobboo14b3o12bobo3bo23bo23bo4boobbo3boobbo39bo26bobo8boo13bo4bo$
31bo3b3o12bobbo13boboo21boo10bo13bo6boobboboobbo69boo8bobo10bo6bo$31bo
3boo14bobobo13bobb3o17boo10b3o13boboobo3b5o42b3o26bo9bo11bo$30bobobob
4o16bobb3o3boob3o5boo24b6o21boo39boobboo42bo7boo3bo$30bo3b3obbo12bo3bo
bbobb4o3bobbo3boo23boo18bobb6o40boboboobo30bobo7boobboobobb3o$25boo4b
3obobo22boob3o36boo3boo13b7o41bo3bo34boo11bo5bo$25bobboo29b3o4b3obb4o
26bo6bo15b3o82bo12bobo3bo$25bo4bo6boo13bo14bo3bobo29bobb3o65bo45boboo
3bo$27bobbo20b6o12bo3boo27b3obo7bo61bo35bobo4booboo$28bo22bo7boo12boo
27bo3b3o6boo56boo29boo7boo4bobbo$29bo22bo6bo8boo32b3obbobo5boo55bo31bo
bo6bo7bobo$54bobobbo8boo5bo28bobo7b3o54bobbobo27bo16bobboo$55bo4bo5bob
oo4b3o27boo66boboo31bo8bobo$60boo3b3o6bobo28boobob3obo56bo35boo3bo4boo
$60boo3bobo8boo27booboobb3o55b3o34boobbobo3bo$75boo30bo100boboobbo$71b
3o34bo4bo56boobbo33boobob3o$71bobbo33bo4bo58bo35bobo3boo$73bo20boo14b
oo5boo89bo5bo8boo$72boo3boo15bobo15bo4boo75b3o17boo6bobo$72boo3bobo14b
o8b3o88bo12boo13boo$72b3obbo19bo3booboo8bo80bo10boboo$77bo19boobo96b3o
5bo4bo$74boboob3o18b3o95b6oboo3bo$76boo5bo117bo4bo22boo$75b3o6bo12bo3b
obo96bobo4boo19bobo$81bobo12boobob3o95b3o26boo$77boboo15bo3bo97bo$95b
oo5bo96bobo$95bo6bo25bobo69b5o$96bo33bo70boobo30boo$126bobo7boo96bobo$
121boobboo9boo96boo$121boo16b3o37b3o37b3o$127bob3o6boobbo38bo39bo$128b
4o5bo4bo37bo39bo$128boobbo3bo104boo$130boo3boo4bo98bobo$135bo6bo97boo
20b3o117b3o$136boo4bo121bo119bo$138bo124bo119bo$140bo$125boo9bobboo77b
3o71bo$124boo9bo82bobb3o20boo45boo$125bobo8b5o78bobo22boo45bobo$125b3o
9b3o84bo68bo$125boo95bo71bo$127bobo94bobo17bo46boboo$217boobo6bo15b3o
46bo$129bobo84boo3bobbobbo18bo$131b3o76b3o4bobbobbo3bo14booboo46boobo$
131bo78bo6bobbobbo3bo13b3o3bo38b3o3boo3bo$130bo82bo3bo6bobo13b3obb3o
38bobb5o4bo$125boboobo4bo74bobbo8boo15bobbo44booboo3boo$124booboobo80b
obbo6b3o15bo19boo25b3o$124bobo4bo80bo5bo3bo20bo8bo5bobo$129boo83bobob
oobo19bobo6bobo5boo37bo$129bo3bo82boo33boo26b3o4booboo5boo$128bo3bo87b
o58bobb3obboo7bobo$281bo10bo$128bobbo85bobbo25boo32boo5bo3b5o$127boobo
114boo33boobboo4boboo$127bo119bo25boo5boo3bo5booboo$126boo121boo22boo
6bo3bo3b3o7b3o$126bo121bo5bo12boo14b3ob3obo7bo$127bo124boobo10bobo12b
3obbo6boboo5b5o$253bo3bo9bo14boo9boboo5boob3o$249boobb3o31boo8b3obboo
3bo$249boobo33bo8boo6bo3b4o21boo6boo$237bo13bo3bo31boo9boo3bobbobboo
20boo4boobo$236boo11boo5boo45bobo3boo10boo9bobobboo$236bobo10b3o55bob
3o9bobo8b3obboo$240bo7boboo55bo13bo4booboob3o$239bo3booboobobbo54b4o
15bob3o$239bo3boob3o6boo18boo40boobo5bo$245boboo6bobb3o14boo31b3o6bo3b
o7bobbo$241bobbo4bo5bob5obo53bo3bo4bobbobbo$241b3o12bo6boo47booboo4b3o
bbo$240bobbo12bo5b3o18boo27bob3o5boobo$241bobobo10bobbobbo19bobo27bo3b
o5bo$246bo12b4o19boo31bobbo$242bo3bobboobobbo7bobbo49bo3bo$249boboobb
oobo3bobbobo57bo$249boboo3bo5bobbobo49boobo3boo$250bo4bo5boo26boo28bob
obbobo41bo$250boo3bo3bobo27boo27bobooboo42b4o$241boobbo4boo6bob3o48b3o
3bobbo4bo40bo4bo$240boo4bobboo6b4o50bo50bobb4obbo$242boobobb3o7boo3boo
49bo3b3o40b3obboo$244boobbo9bobo51bobbo4b3o37boo3bobo$251bo6bobobboobo
28boo16bobobobbobo36boo7boboo$248bobbo3boo6boobo27bobo16bo3boboo37boo
10boo$249bo4boo9bo28boo17bobobb3o38boo12bo$250bo5bo8bobo45bo3bo40bobo
10b3o$261boobbobo49bob3o37bo10bobobboo$261bo60bo23b3o8boo12bo$261bo25b
o13boo14bo5bo18bo3bobboo5b3obo$263b3o20boo12bobo14bo10bo5b3obbob3o10bo
5boo7b3o$263b6o17bob5obo5boo14boo5bo3boo5bo3bo4bobbo5boo3bo3bobbo4b3o$
263bo25bo3b4o22boobobobbobo6bobbo3bobbooboboo4boobbo3b3o3boo$263boo3bo
19bo3bo23bobobo3bo8bobbobbo3boo3b3obobo10b4o3boo7boo$263boobbo19b3o28b
4o8boobo6booboo6bobbo7boo3boo5bo5bo$264b3obb3o16bob4o25boo3bo5bo4bo3bo
5bo3bo4boo8b3o4booboo3bo3bo$266bo4bobo7bo5boo3bobo25bobbo8boobo4bob4o
bboo14b3o6boboobooboo$266b4obobo6b5oboobob3obb3o21boboo5boo15boboo4bo
18bo4boo$266b4obobo6bo8b3o5boo22bobo5b6obo6bobobboo27boboo6boo$269bo
18boobbo39bob3o3boo35b3obo4boo$280boboob5obboboo27b4obbo6booboo3bo5bob
o21boobo3bo6bo$272booboo4bo5boobboo27boo3b3o10b3o3bo6bo21boo4boboo3boo
$272bob3o43bobo6bo8bo3bobbo26bobbobo4boobboo$272bobboo3boo7boo3boo24bo
3bobboboo12bo28bo6boobo7bo$279boo8boo4bo27booboobo5boo35bobbo11bobbo$
276bo3boo9bo3b3o27bobobo5bobo36bo6boo8boo$276bo3b3o3boobbo4bobo25b3ob
oo6bo45bobboob3obobo$280bo5bo8bo23boo5boo8boo43bobbo3bo$281boo3bobo9bo
19bobo4b3o8bobbo37boobobobobo5b3o$293bobb3o19boo6bob5o3bo39boo4bobo$
292b5o15b3o13boobbo5bobo5bo4b3o24boboobo$292bobbo16bo19bobo7bobbo4bo$
294boo17bo19bo6bobboobboobo3bo28bo$295bobboo15boo23bobbo6bo3bo28bobo$
292bo4boo17bo24b3o19bo20boo$293boboboo40b3o9boo9boo23bo$295boobobbo37b
oo12bo8bobo22bo$296bo4bo14b5o6boo25bo9bo$301bo14b6o6bo24b3ob3o5bo$296b
obo4b3o47bo3boo3boboo$298boobo7bo6bo3boboboo28boo7bo$301bo6b5o5bobobbo
$308bo6b3o7bo38boobo$315boboobbo35b3o3boo3bo$308boboobobobobboobbo32bo
bb5o4bo$309bo5b3obo38booboo3boo$315b3ob4obo32b3o$308boo4bo4boobobo$
305boo3bobboo53bo$305bobboob4o4bo30b3o4booboo5boo$305bobobb3obbobb5o
27bobb3obboo7bobo$318boob3o28bo10bo$310boo7bo3bo18boo7boo5bo3b5o$303b
oo4boobo9b4o16boo7boobboo4boboo$303bobo4bobo6boo30boo3bo5booboo$303bo
bbobbo5boobb3o4bo25bo3bo3b3o7b3o$300booboobbo6boo7boobo27b3ob3obo7bo$
300bo7bo7bo4bo5boo23b3obbo6boboo5b5o$300boboobb3o13bo30boo9boboo5boob
3o$309bo7b3o3b3o32boo8b3obboo3bo$304booboo10boobboo32bo8boo6bo3b4o$
315boo6boo33boo9boo3bobbobboo$304bo11bo4bobo50bobo3boo$304bo11bo3bo5bo
51bob3o$300b3obbo11bo6boo4bo47bo$295boo4bo22bobbooboo46b4o$294boobboob
o14b3o5bobb5o$294bobobo4bo6boobbooboo60b3o$291b3obboboobbo6boo3bobbo6b
oboboo$291bo7bo11bo4bo9bo$292boo5bobo11bo12boobbo$291b3obb3o13bo3bo9bo
bbo$292boo4bo12boo3boo4boobobo$289b3o6bo12boo3boo3boo$288boo3bo17boobo
7boo$288bobb4o21bobbobboobboo$288bo4boo17boobo6bobb4o$281b3o28boobo3bo
5boobbo$281bo6bobo22bo3b5o$282bo4boobo23bo4b3o7bo$284b4obo18b3o4bo3b3o
6boo$285boo21bo6boo10boboo$309bo5boo4bobobbooboo$311boobbo6boo$312bobb
o6b4o$304bo6bobbo8bobo$303boo5b4o12bo$303bobo3b3o10bobbo$307boo14bo$
299boo4b5o14bo$299bobb4obo16b4obo$299bob4obo19boobbo$300bo4bo20bo3bo$
300bo26bobbo$300bo$293boo8bo23boo$292boo3bobo27boobo$294bob5obo25bobbo
$294b4obbobo25boobo$294bobbo32bo$294bobbo$287b3o35b3o$287bo6bobo27bo3b
oo$288bo4boobo26bo3bobob3obob3o$290b4obo26bobbo6bobbo$291boo23b3o3bo9b
oob3obo$316bo6boo11b3o$317bo4boo11b3o$319b5obo10bo$320boo4bo3b3obo$
330bobbo3bo$324boo7bo$325bobo3bo$325bo5b4o$325bobobo4bobo$326bobboo$
324boo3boo$325bo$325bo!

Code: Select all

#C A diagonal c/4 period 288 sideways rake.
#C This is based on a period 72 rake whose period is
#C multiplied by four.
#C David I. Bell, 2 March 2024
x = 460, y = 189
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$12boobo4boo3bo46b3o$13bo4bo3b5o17bobo25bo$
13bo4bo6b3o17boo26bo$25b3o17bo29boo$14b3o8boo49bo3boo189boo$15boo8boo
21bobo28boo190bobbo$14b3o32boo31boo101boo84bob3o$15boo8bo23bo26b6o102b
oobboo85bo$21booboo50bobboobo103boobo78boboo3bo$20boo3bo26bobo8boo13bo
4bo100b3obboo76b5obobo$22boboo27boo8bobo10bo6bo97boobboobboo76bobbo$
27bo25bo9bo11bo105bo4bobo79bobbobbo$66bo7boo3bo101bo4bobo80bobo$26b3o
27bobo7boobboobobb3o103boobo75boo3bobbo$20boobboo31boo11bo5bo105boo76b
oobbobobbo$20boboboobo29bo12bobo3bo97b3obbobboo66booboo5bobb5o$20bo3bo
43boboo3bo98bo3bo3bo67bob3obooboo3bobbobo$60bobo4booboo92boobboo7bo3bo
68bo9bobbo4bo$24bo36boo4bobbo92booboboo3b3o5bo65boobobboboobbo13boboo$
26bo34bo7bobo92bobo4boobo7bo64bo3bo19b3obooboo$23boo44bobboo87b5o21bob
3o48bo6bob3o18boobbobboobo$22bo31b3o7bobo93boo3boo17boobo4boo33boo10b
oo9bo3b3o13bo$21bobbobo27bo10boo3bo28boo52boo7boobo3bo14bobb6o34bobo9b
obobb4o3b3ob3o14bo$22boboo29bo3bo5bo5bo26boo3bo37boo10bobo3bob3o3boobb
o12bo17booboo13boo5bo15b3oboobboobbobo9b3o$21bo35b3o11bo28boboo36boo
11bo3bo3boobobbo3bo10boo18bob3o13bobo3boobbo11bobbobo7b4o4bobbo4bo$20b
3o33boobo3bo6bo31b3o11boobbo13boo5bo14boo4bobbobo13boo19bobboo3boo8bo
11bo29boobbobbo$53boo4b4obo4bo32bo12boo4bo11boo5boo15boboboo6boboo3boo
bbobboo24booboboo7bo3boo3b3o6bobbo9b3o5boboobboo$20boobbo28bo5boobb3o
38b3o10boobobb3o9bo4bobobboo21bo7bo3b5o21bo5boboo7boo4boo4bo4boo3bo8b
3o7boo$22bo24boo4bo7bob3o31boobo4boo12boobbooboboo7boo3boob4o5boo12bob
o5bo3boboo22bo5bo3bo12b7o3boo4bo4b3o8booboo23bo$43bo3bobo5b3ob3obboo8b
oo21boboo3bobo19bobobo6boo10bo3bobobboo5boboobo4boo3bo33bo15b4o4bo6boo
bbo4boo4b6o12bo9boo$42boo3bo9boboo3boobboo3bobo15boo4boboo3b3o21bo20bo
3b3obboo4boobobbo3bo5bo21boo12bobo20bobobobbobbobb11o4bo7boobo9bobo$
42bobo5bo3b4o3booboobboo3boo15boo6bo5b3o22bobo11bo8bo5b3obbo7boo6boo
10bo10bobo13bo23boo5bo3b4obo8bo4boobo4bo$50bobb3obo3bobbo26bobo4boo4bo
bo24bo13boo10b4ob3obo5bo5bobo7b4obo8bo15bobo6bo5boo4boobo4bobo21bo5b4o
9bobo$44b3o3bo3bo5bobboo26b3o4boobboo28bo20bo3bo5boobo5boboo10boboo4bo
8bobo17b3ob3obboo5bo6b4o10boo8bo3bo5bo7booboo$43b3o6boo5bo31boo6bobo
31bo4boboo4b3o4b5obbooboo3boo15b4o3boboo7boobo13bob4ob3o3bo4boboo3bo5b
obboo3boo9bo3bo5bobbob6o$45bobo4boo14booboo20bobo3boo3bo28boboobbo3bo
bbo5bo7booboo8b3o8boo6boboo4bo5bo23bo3boobobboo3boboo3boboobboob4o5boo
3boo6b3obboo$47b5obo4booboo36b4o33bobbobobboboo4bobbo3bo3bo3b3obbo4bo
5boo3bo8boboo4bo24boob3obobo4bo3boobbobo11bo5bo3boboo3b3obboo$48bo4bo
4bobo7booboo22bobo39boo3bob3obbobo3bobb6oboo5boob3o6boo3b3obobbo30b6o
3bobboobboo3boo4bo4boo5bo4b3o5b4o3bobo$46bobo12boo7bo26b4o41bo4bo3bobo
bob3o8bo3bobb3obo4bobbob5obo4bo21b3obb3oboo3bo3bobo5bo5bo6bobo3b3obo8b
7o$45b5obb3o6b3o33b4o36bo3bo6bob6oboobbo6boo4bo5boboboobo4bo7boboo10b
3o4bobboboo12bobo5bo5bo3bo6bobb5o5bobbo6bo$44bobo4bo9b3o19boo4boo7boo
29bo6b4o6bo7bobo4boo4b3o3boo5boo5bo9b4o13bo6bobbo8bobobbobo14bobboo3b
3oboboo7b4o7bo$43boobob3o4b3o3boobbo17boo3bobo37boo5bobboboo4bo7bo13b
oobboobboobo6bo5bo4b3o15bo4boobo9bob3obo18bobb3oboobbo7bo6bo4bo$45boo
5bobb3o3boo3bo17b3o3bo37bobo4bob3o9bobooboo15b3o3bo3bo9b5o6boo13b4o4b
oo6bobboboo25bobobbo15bobbo$50boboobo6bo3bo9bo8b5o4bo37bobbooboo6boobo
4bo17boobboo3bobo8b3o7b3o15bo3boobo9bobboo21bobo8b3obobobbobboo$45bo6b
oo9bo11bobo6b4o4booboo35bo6boo7boo3bo23bobo9b3o7b4o15b3o3boo9booboboo
20b5obb8obo3bo$45bobo3bo12bo10bobo5bo9boboo34bo3bo13bo5bo20boo5bobbo3b
obbo6boo18bo3bo37bo3bo7bo6bo$47bobboo7b5o12bo7boo5bo3bo38boobobbo9boob
3o20bo3bo3b3o3bobboboo18b3obbooboo18bo27boo$43boo5bobo6bo5bo20bo6boo
35b3o43bobobo7bo26booboobb3o19boo$43boo7booboo3bob4o24bobboo34bobooboo
3bo18bo55bobo9bo16boo$40bo4bo5booboo8bo20boo3b3o35bo3b5oboo19bo54boob
3o5boo$39boo4b3o6bo30bo3boo37bo8boobo16b3o58bo4boboo20bo$39bobo9bobboo
9bobo17bobboo38b6o4bobbo74bo8boo21boo$43bo4bobobbo6boo3bobbo17bobo40b
ooboo7bo20bo53boo7boo20boo$42bo4bo3bobobbo3bobobbobbo19bo15boo4boo18bo
10bo21bo52bobo7bo$42bobbo6boo6bo3bobbo20bo14bobbobbobbo16boo10bo19b3o
28boo23b3o6bobo22bo28boo$51bo11boobo20bobo13bo3bobbobo17bobbo6bo50boo
24b3o32boo26bobo$48boboobb3o7bobo20bobo14bo6bo18bo10bo24bo26bo23bo5bob
o25boo27bo$47booboobo10bo15boo6bo20bo20bobbo33bo27boo25booboobo54bo$
46bo3bo6bo7bo14bobo27bobboo16bo4booboo24b3o26bo5bo21boboo3bo25bo27boo
3bo$45bobbo3bo3bo8bo14bo21boo6bobb3o20bo3bo57boobo25boo27boo25boobbobo
$45bo4boobbo4boo6bo34boo3bo3bobboo20boboo3bo26bo28bo3bo24boo25boo27bob
oobbo$44bobo3bo3boo3bobo3bobo26bo13bo32bo29bo23boobb3o25boo55boobob3o$
44bo9bo4bo4boobo25bobo47bo25b3o23boobo27b3obo28bo24bobo3boo$44boboo6b
oo6boboo27bobo17bo26bo42bo13bo3bo19b3obbo33boo22bo5bo$45bo3bobooboo6bo
bbo28bo18bo22bo3boboo30bo7boo11boo5boo17bo37boo9b3o17boo$47bobbo11bobo
70boo3bo34bo6bobo10b3o24bo3boo42bo12boo$45boobbo4bo80bobobboo31b3o10bo
7boboo28bo36bo7bo10boboo$45bobo6bo61boo22boo43bo3booboobobbo27bo37boo
7b3o5bo4bo$47b3o3boo84boo37bo6bo3boob3o30boo36boo9b6oboo3bo8boobo$42b
oo3bo35bo34bo21boo37bo11boboo29bo52bo4bo12bo3bo$41boo4bo3bo3bo26boo33b
3o7bo11boo36b3o7bobbo4bo27booboo39bo8bobo4boo10bo4bo$43bo33bo4bobo19b
3o9b4o5boboo8boobbo45b3o78boo5b3o19boo$45bobb3oboo22boo26b3o8bo3bo4boo
boo8b3o42bo3bobbo32bo4bo39boo5bo24bobo$45boobo27bobo5boboo19bo7bob3o4b
3o10bobboo41bo3bobobo30bo52bobo$83boo21bobo7b4obo59b3o8bo29boboo45bo4b
5o13bo6boo$31boo12bo3b6o24boobboo19bo3bo26boo51bo3bo29bobo47boo3boobo
12b5o4bobbo$31bobo10bob6o3bo23boobboo20b3o13b3o11booboo46bo36boo46boo
14boo4bo6boo$31bo15b3obbo3boo17bo4boo4boo12boobboo16bo13bo50bo88bo10bo
bo11bo$34bo9boo5boo21b4obb4o4bo10boo36boo46b3obboo84boo9bo5boboo6bobo$
34boo10boobboboo20bobb3o3b3o13b3oboo85boo96boo4bo4bobo$34boo8boo3boobo
23bo9bo12boob3o170boo11bobbo6b3o$33boo8boo4bobo25b5obbo15b5o183bo6boob
oo$24boo6boo3bo7bo4bo30bo4boo13boobbo39bo35bo35bo72bobobobbo$24bobo3b
oobbobobobooboo5b4o28boo8b3o8bobbobb3o33boo34boo34boo$24bo5b3o4bo4boo
7bobbo37bobb3o4bo3bobbobo32bobo33bobo33bobo73bo4bo$27bo10bo12b5o37bobo
7bobo3b3o181b4o$27boo11boo10bobbo42bo5bo$40boo12b3o39bo$50b3obobo41bob
o$50boboobo3bo41bo$50boboboo3boo37bobbo$47boo5bo6bo36bobbo$46boo7bo3bo
38bobbo$48bo10bo63bo$52boo5boo38bobo20bobo$52bobo4bo41bo20bobbo3bo$52b
o3bo66b4obo$55boo38boo4bo22bo3bo$56bobbo34boo4boo$47boo47bobboboo28boo
$47bobo3b3o42booboo26b3o140bo$47bo3bo4bo72bo141boo$50boo40b3obbo30bob
oo139bobo$50bo5bo35bobb3obo19boo5boobboo$93b6o19boo6boo3bo142boo$113b
oo4bobo4boobbo143boo$84bo6boo19boo5boobo3b3obo$83boo5bobbo20bo5bobo
147boboo$83bobo3boobo23boobbobo146b4o40b3o141b3o$87bo28b4obbo146bo3boo
40bo143bo$86bo31boobboo150bobbo36bo143bo$86bobbo21boo6bo4bo$110boo3b3o
boo3bo148boo3bo14bo$112bob4obbobo150boo3bo13boo$120bo153bo17bob5obo$
114bo3bobbobo150bo20bo3b4o$114bo3bo4bo151boo17bo3bo$119bo173b3o$294bob
4o$287bo5boo3bobo$286b5oboobob3obb3o$286bo8b3o5boo$294boobbo$286boboob
5obboboo$278booboo4bo5boobboo$278bob3o$278bobboo3boo7boo3boo$285boo8b
oo4bo$282bo3boo9bo3b3o$282bo3b3o3boobbo4bobo$286bo5bo8bo$287boo3bobo9b
o$299bobb3o$298b5o$298bobbo$300boo$301bobboo$298bo4boo$299boboboo$301b
oobobbo$302bo4bo$307bo$302bobo4b3o$304boobo$307bo!

Code: Select all

#C A diagonal c/4 period 320 sideways rake.
#C This is based on a period 80 rake whose period is
#C multiplied by four.
#C David I. Bell, 2 March 2024
x = 510, y = 202
20bo$19boo$19bobo$21bo$22bo$19boboo$20bo$$21boo$21boo$21bo$22boo$$22b
3o10boo6b3o$22bobbo8boo6bobboobo$23bo12bo4bo3b7o$25boo12boboobbo6bo$
27bo9boobb3oboo$20bo7boo13boboobbobo$19boo19boboo$19bobo7bo5b3obooboo
15boo8boo$29boo3bobbo5bo8b3o3boo9b3o$22boo7boboobo3bo3bo7bo7bo4b3o4bo
54bo$22boo4bobbobb4o5b3o8bo10boo3bobo53boo$29boo3bob3o3boo8bobo7bobobo
3bo55bobo$18boboo6bo6bobbobo3bo4bobboo3b8obbo$17b4o7bobobbobo9b4obo4bo
4boobobobo61boo$17bo3boo8boo25bo70boo$22bobbo3bo24bobobo$30boo88bo6boo
$21boo3bo4bo87boo5bobbo$21boo3bob4obboobo81bobo3boobo$22bo5bobobo4bo
85bo$22bo5bo4bo4bo83bo$23boo6bo4b4o82bobboo$33bo6bo86bo$31b3obbo3bo85b
obo91boo$25bo3boobbobbo90boo90boobboo$16b3o4boobboo3boo4bobo52b3o32bob
o90boobo$16bo5bobo3bo4b5obbo52bo36boo87b3obboo$17bo4b3o3bob4obbobboo
53bo18boo12b5o84boobboobboo$19bo8bo5bo38b3o20boo15bobo10boboo86bo4bobo
$18b3o5b3o3boo10bo28bobb3o5boo5boo4bo8bo6bo10booboo87bo4bobo$23b4o4b3o
8bobo29bobo7b3o3boo12b4o8bo4bobbobboo88boobo$17bobbobb4o3b3o10boo34bo
bbo3boo4b3o8boo3b4o4b5obobobo90boo$15bo9booboobo41bo3bobbobobb4obo3boo
6b3oboo5bobb5obboo10boo7bo64b3obbobboo$14booboobo7booboboo13bo23boo5b
oo5bo8bo4boo4bobob4obboobo15bobo5boo64bo3bo3bo$14bob5o5bo4bobbo11bobo
23bobo8bo16b3o5b3o4b3o6bo10bo7bobo53boobboo7bo3bo$12boboboo7b7o15boo
27bobboobbobo17boo4bobo3boobo3b5o6boo63booboboo3b3o5bo$11b4o3bo5bob4o
46bobb3o3boobb3o4bobbobb4obboo5bobbo3boo3bo4boo12boo51bobo4boobo7bo$
11bobb3obbo3boo6bo20bo23b3obo3boo3bo3boob4o4boobboo5bobbo6bo3boo8bo5b
3o48b5o21bob3o$12boobo10boo3bo18bobo18bo5boobb4obo3booboo6boo12bobboob
obbobbobb3obo3boo5bo49boo3boo17boobo4boo$17b3o3boo5bo3bo16boo17boo3boo
3bobboobobobbo3b5o4b3oboobbo5boo3boobbo7bobbobo47boo7boobo3bo14bobb6o$
11boo4bo3b3o4bobob4o29boo3bobobo3b3obobo3bo6bobob3obboobboob3o5boo10bo
3bo7b3o30boo10bobo3bob3o3boobbo12bo$11boo3bo3bo7bobobb3o20bo7boo11bo6b
oobo4bobboobb3o3bobboobo8bo7boo4bo6b5o29boo11bo3bo3boobobbo3bo10boo$
22b3o29bobo9bobbobboo10bo7boo7bo18boo9b3o6b3o8boobbo13boo5bo14boo4bobb
obo13boo$13bo3boobo4bo10bo18boo11boo3boboo8boo54bo8boo4bo11boo5boo15bo
boboo6boboo3boobbobboo$13bo6bo4b3obb3obb3o34bo6b3o23bo31boo13boobobb3o
9bo4bobobboo21bo7bo3b5o$12bo16bobobb4o22bo6boobboboo4boo9boo5bo6boo27b
3ob3o14boobbooboboo7boo3boob4o5boo12bobo5bo3boboo$9booboo10bobbobo3boo
23bobo7bo7boob7o3boo5boo6bobo26booboboo21bobobo6boo10bo3bobobboo5boboo
bo4boo3bo$9bobbo10bo3boboboo26boo8boobooboo3bo6boboo5bobo9bo54bo20bo3b
3obboo4boobobbo3bo5bo21boo$9bo10b4o7boobbobob3o27boobb3o11bobbo17bo55b
obo11bo8bo5b3obbo7boo6boo10bo10bobo75boo$11bo8bo9b3obb5o24bo4bo7bo4bo
3b3obobo6bo6bobbo56bo13boo10b4ob3obo5bo5bobo7b4obo8bo77bobbo$10bo15bo
14bo20bobo12bo6bo4boobbobb7obbo61bo20bo3bo5boobo5boboo10boboo4bo8bobo
74bob3o$9bo15bo6bobbobbo17bo6boo5bo15bo4b3obboo4bobbobbo59bo4boboo4b3o
4b5obbooboo3boo15b4o3boboo7boobo77bo$20b7o6boo5boo13boo18bo10bo8bob3o
3bo64boboobbo3bobbo5bo7booboo8b3o8boo6boboo4bo5bo70boboo3bo$4b3o4boo6b
obo12boboo17bobo10bo3b3o21b4o5bo65bobbobobboboo4bobbo3bo3bo3b3obbo4bo
5boo3bo8boboo4bo70b5obobo$4bobb4obbo4booboo10bo32bobo27boo7bo66boo3bob
3obbobo3bobb6oboo5boob3o6boo3b3obobbo79bobbo$7b3o8bob3o7bo6bobo18boo7b
oobbo9bo95bo4bo3bobobob3o8bo3bobb3obo4bobbob5obo4bo76bobbobbo$bobo11b
3obboo7b5o6bo17boobb3o6bo3bo5bo90bo3bo6bob6oboobbo6boo4bo5boboboobo4bo
7boboo74bobo$ooboobbo7bo12boobobo6bo21boobo4b3o9boo80bo6b4o6bo7bobo4b
oo4b3o3boo5boo5bo9b4o69boo3bobbo$ob5o20boo6bo3boo19bo4bo4b3o7boboboo
77boo5bobboboo4bo7bo13boobboobboobo6bo5bo4b3o69boobbobobbo$bbo11b3o11b
o3b3o24b3o4bo3bo9boboobbo76bobo4bob3o9bobooboo15b3o3bo3bo9b5o6boo55boo
boo5bobb5o$bo3boo9bo9b3obo10bo17bo5bo18boo81bobbooboo6boobo4bo17boobb
oo3bobo8b3o7b3o54bob3obooboo3bobbobo$b4o9bobo9boo3boo5bo7boo12bobobboo
100bo6boo7boo3bo23bobo9b3o7b4o56bo9bobbo4bo$3boo9bobo9bo4boo5b3o4boo
27boo90bo3bo13bo5bo20boo5bobbo3bobbo6boo54boobobboboobbo13boboo$14bobo
8boo4boo3bobo8bo9b3o14boo17b3o73boobobbo9boob3o20bo3bo3b3o3bobboboo59b
o3bo19b3obooboo$15boo11boobboob3o11boo6booboo3boo31boo65b3o43bobobo7bo
60bo6bob3o18boobbobboobo$15bo10bo4boo3booboo8boobboobbob3o3bobb3o26b4o
4bo8boobo7b3o36bobooboo3bo18bo77boo10boo9bo3b3o13bo$27b3o6boo14boobobb
oo5bob5obo19boo3b4o3bo8bo3bo6bo37bo3b5oboo19bo76bobo9bobobb4o3b3ob3o
14bo$28boobbo3bo3bo12bo4boo6bo6boo20bo3bo5bo8bo4bo7bo7boo26bo8boobo16b
3o51booboo13boo5bo15b3oboobboobbobo9b3o$31bo8bo9boo3bo10bo5b3o21bobboo
bbo12boo7bobo4boobo27b6o4bobbo69bob3o13bobo3boobbo11bobbobo7b4o4bobbo
4bo$30bo3boo14boo14bobbobbo24bo20bobo4b3obobboo30booboo7bo20bo48bobboo
3boo8bo11bo29boobbobbo$34boo14bo18b4o24boo25bo3boobboo31bo10bo21bo54b
ooboboo7bo3boo3b3o6bobbo9b3o5boboobboo$30bo3boobbo12booboo3boobobbo7bo
bbo16boo7bo17boob4oboo34boo10bo19b3o51bo5boboo7boo4boo4bo4boo3bo8b3o7b
oo$29boob3o3boo13bobo3boboobboobo3bobbobo15boo5bobo18b7o37bobbo6bo74bo
5bo3bo12b7o3boo4bo4b3o8booboo23bo$38boo19boboo3bo5bobbobo87bo10bo24bo
27boo27bo15b4o4bo6boobbo4boo4b6o12bo9boo$24b3o6bobb3o21bo4bo5boo92bobb
o33bo25boo30bobo20bobobobbobbobb11o4bo7boobo9bobo$24bobboo4bobboo22boo
3bo3bobo94bo4booboo24b3o27bo31bo23boo5bo3b4obo8bo4boobo4bo$25bobbo8bo
13boobbo4boo6bob3o98bo3bo56boo28bobo6bo5boo4boobo4bobo21bo5b4o9bobo$
27bobbo19boo4bobboo6b4o36boo62boboo3bo26bo25bo5bo29b3ob3obboo5bo6b4o
10boo8bo3bo5bo7booboo$28boo22boobobb3o7boo3boo31bobbo66bo29bo28boobo
25bob4ob3o3bo4boboo3bo5bobboo3boo9bo3bo5bobbob6o$54boobbo9bobo35bobo
69bo25b3o29bo3bo33bo3boobobboo3boboo3boboobboob4o5boo3boo6b3obboo$61bo
6bobobboobo30bo17bobo47bo56boobb3o35boob3obobo4bo3boobbobo11bo5bo3bob
oo3b3obboo$58bobbo3boo6boobo26boo10bo6boo3bo43bo3boboo30bo22boobo35b6o
3bobboobboo3boo4bo4boo5bo4b3o5b4o3bobo$59bo4boo9bo27boo10boo4boo47boo
3bo34bo9bo13bo3bo27b3obb3oboo3bo3bobo5bo5bo6bobo3b3obo8b7o$60bo5bo8bob
o38boo3boo47bobobboo31b3o8boo11boo5boo17b3o4bobboboo12bobo5bo5bo3bo6bo
bb5o5bobbo6bo$71boobbobo38boo3bo53boo42bobo10b3o23bo6bobbo8bobobbobo
14bobboo3b3oboboo7b4o7bo$71bo43bo4b5o49boo37bo9bo7boboo24bo4boobo9bob
3obo18bobb3oboobbo7bo6bo4bo$71bo43b9o51boo37bo7bo3booboobobbo25b4o4boo
6bobboboo25bobobbo15bobbo$73b3o17b3o20b4o54boo36b3o7bo3boob3o12boo18bo
3boobo9bo25bobo8b3obobobbobboo$73b6o14bo9boo67boobbo51boboo11boo3bo13b
3o3boo9boobobbo20b5obb8obo3bo$73bo20bo6b3obo66b3o42bo6bobbo4bo12boboo
15bo3bo17boo18bo3bo7bo6bo$73boo3bo17boobboo70bobboo41bo5b3o20b3o9b3obb
ooboo16boo28boo$73boobbo19bo33boo83b3o4bobbo20bo11booboobb3o$74b3obb3o
19bo10boo17bo38boo52bobobo20b3o6bobo9bo18bo$76bo4bobo13boo3bo9boo13bob
o3bo36booboo46bo7bo12boobo4boo6boob3o5boo19boo$76b4obobo12boboboo23bo
3b4o38bo50bobbo3bo12boboo3bobo10bo4boboo18boo$76b4obobo12bobobboboo20b
ob3o42boo46b3o3bo9boo4boboo3b3o8bo8boo$79bo15bo4boo123boo8boo6bo5b3o8b
oo7boo22bo$95boo128b4o7bobo4boo4bobo8bobo7bo23boo$95boo31boo94bobbobo
6b3o4boobboo12b3o6bobo20boo29boo$128boo97bobo6boo6bobo14b3o60bobo$238b
obo3boo3bo11bo5bobo27bo26bo$162boo38boo40b4o18booboobo25boo27bo$161bob
o37bobo36bobo23boboo3bo23boo28boo3bo$163bo39bo38b4o25boo54boobbobo$
242b4o26boo27bo26boboobbo$243boo26boo29boo24boobob3o$270b3obo26boo25bo
bo3boo$265b3obbo57bo5bo$265bo39bo8b3o17boo$266bo3boo34boo6bo12boo$125b
o10boo132bo34boo8bo10boboo$124boo11bobo130bo46b3o5bo4bo$124bobo11boo
129boo38bo8b6oboo3bo8boobo$139bobo126bo41boo9bo4bo12bo3bo$126b3o13boo
123booboo37boo9bobo4boo10bo4bo$125b3o11b3o177b3o19boo$127bobo9boo5bo
119bo4bo41bo4bo24bobo$129b3o13bobbo117bo47boo3bobo$129b3o12bo121boboo
43boo5b5o13bo6boo$132bo10boo4bo70boo44bobo52boobo12b5o4bobbo$129bobbo
9b4o3bo70bobo44boo48bo13boo4bo6boo$128bo3bo9boo76bo97boo11bobo11bo$
124booboo3bo8b3o3boo74bo93boo3boo7bo5boboo6bobo$123boo7bo10bo79boo97b
oo8boo4bo4bobo$125boboobbo91boo107bobbo6b3o$131bo90boo22boo84bo6booboo
$128bobo87booboo12bo10boo67bo18bobobobbo$129bo88bo4bo11boo78boo$128bo
89bob4o6boobbobo77bobo19bo4bo$127bobo92boo5bobo105b4o$127bobo92boo5bo$
126bo95boo4b3obo8boo$126boo96bo6boo8bobb3o$126boo95boo16bob5obo$223bo
18bo6boo$224bo17bo5b3o$242bobbobbo$245b4o$235boobobbo7bobbo$235boboobb
oobo3bobbobo$235boboo3bo5bobbobo$236bo4bo5boo$236boo3bo3bobo$227boobbo
4boo6bob3o$226boo4bobboo6b4o69bo$228boobobb3o7boo3boo64boo$230boobbo9b
obo68bobo$237bo6bobobboobo$234bobbo3boo6boobo65boo$235bo4boo9bo66boo$
236bo5bo8bobo$247boobbobo60boboo$247bo65b4o30b3o157b3o$247bo65bo3boo
30bo159bo$249b3o66bobbo26bo159bo$249b6o$249bo67boo3bo14bo$249boo3bo62b
oo3bo13boo$249boobbo64bo17bob5obo$250b3obb3o60bo20bo3b4o$252bo4bobo59b
oo17bo3bo$252b4obobo77b3o$252b4obobo78bob4o$255bo75bo5boo3bobo$330b5ob
oobob3obb3o$330bo8b3o5boo$338boobbo$330boboob5obboboo$322booboo4bo5boo
bboo$322bob3o$322bobboo3boo7boo3boo$329boo8boo4bo$326bo3boo9bo3b3o$
326bo3b3o3boobbo4bobo$330bo5bo8bo$331boo3bobo9bo$343bobb3o$342b5o$342b
obbo$344boo$345bobboo$342bo4boo$343boboboo$345boobobbo$346bo4bo$351bo$
346bobo4b3o$348boobo$351bo!

Code: Select all

#C A diagonal c/4 period 360 sideways rake.
#C This is based on a period 72 rake whose period is
#C multiplied by five.
#C David I. Bell, 2 March 2024
x = 375, y = 197
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$25boo41bobobo99boo$24boo39bo7bo97boo$22boobbo28boo
9bobbo3bo99bo$22b3o29boo8b3o3bo28boobo37boo26boo$22bobboo29bo3bo8boo
28bo3bo36bobo24boo5b3o$58boo9boo28bo4bo28boo5bo28bobbooboo$20boo35bo4b
oo6bo30boo30bobo3boobbo27bo$20booboo29boboobo4bo3bo5boo27bobo27bo11bo
24booboo$21bo31b6oboobbo3bo4boo61bo3boo3b3o23bo$22boo24bo4bobboo6bo7bo
bob3o19bo6boo29boo4boo4bo19b3o$47boo6boobboo3bo7boobbobbo17b5o4bobbo
32b7o19bobbo$42b3obbobo10bobobo9bobobbo11boo4bo6boo37b4o9bo10bobbo$42b
o11boboo4bobo7boo5bo11bobo11bo49boo4bo4boo$45bo4boobobobo5boo6bo6bo12b
o5boboo6bobo32b3obbo7bobobb4obboo$42bobbo4b3o7boobo3bobbobboobbo14boo
4bo4bobo35booboo14bobboobo$43bobbo5boo6b3o4bo4bobboo15bobbo6b3o38bobob
oo9bobobo3bo$44bo15boo7b5o6boo10bo6booboo44bobbo5b6o$46boboo3bo3bo3boo
7b5o4bobo12bobobobbo47b3o5boboo$48bob4o4boo13bobo3boo38b3o27bo$48boboo
bobo5boo11bo21bo4bo17bo8bo28boo$45b3ob4obo7bo34b4o19bo6boo20boo6boo$
44bobo16bo58bo3boobobb3o14boo4boobo$44bo3boo6booboobo32bo19boo4booboo
bbo3bo3bo13booboob3obo10bo11boo$44bob3oboo3boo5b5o9bo18bobo16boo5bo6b
oo4bobo15boboboo6b3o3boo11bobo$47boob3obo8boobo8bobo38bo4boo4b4oboo19b
3obo6bo5bobo10bo$45b3o4bo22bobo10b3o5bobo19boo4boo4bobo3bo15b3o5bo4bo
16boobbo$45b3o16boo10bo14bo6bo19boo16bobo3b3o8booboobo7boo4boo13bo$50b
oo3bo4boobo22boo3boo6bo33boo3bobbo15bo8boo5boo8boo3b3o$44bobo3boo3bo3b
oobboobo19boobb4o3boo39bo5bo5bo4boo22b3o3boo4bo$43boobo5bo8boboo21boob
o3boobbooboo37bo9boo3boo9bo5boo6bo5b7o$52boboboo9bo14bo5bo4bo3boo3bo
38b3o5bobo9booboo4bobboo3boboo4b4o$39b3o4bo5b3o10bo15bobo14b5o44boo4b
5oboo3bo3bob3oboboo$39bo5boobobboobo26bobo15b3o34bo6b3oboobbobobbobobo
5bobobboo$40bo4boobobbobobboo3bo3b4o13bo52b5o3bo7b3o5bobbo3boo3bo$42b
4obo3boo7boo3b4o66bobboo3b9oboobboboo5boobo11bo$43boo7bobbo4bobo74boob
o4b5o4bobbobbo4b3o3bobo6boo11bob3o$52bo11boo41bo40bo6bo4bo3bobo5bobo5b
obo7boobo4boo$49boo4bo8b3o39b3o31bobo4bobo10bo10bobobo14bobb6o$48b3o3b
3o24bo23booboo37bobo14bo5boobboo7boo5bo$46boo4bob3o7bo15boo22b3obboo
31b3o4bo11boobo5boobbob3o9boo$46boobbobobobo7bobo13bobo22boobboo32b3ob
obo14bobbobboo3boboobooboboboo$45bobobbobboo5bo30boo15b3o29b6obobo16bo
8bo4boo3boboboo$46boboo4bo4boo4b3o40boo38bo24boo4bo3b4o$44boobboo4bo4b
obo3bobo25boo48bo29b3o3bo$44b5o3boboo8bo28bobo47bo29boo6boobb3o$49bobb
o9b3o25booboboo39b3o4bo$47b3obbobo8boo26boboboo39bo$44bo3boo4bo34b5ob
oo40bobb3o$45boo7bobo37boo4bo38bo3b3o9boo$48boo3boo44bobo38bob4o9boo4b
oo$42boo4boo3bobbo42bobo40boo17boo$42bobobbobboob3o26b3o15bo39boobo$
42bo3bobbooboo28bo58bo$45b5o3bo22b3o6bo55bo$46bo29bo6bobbo54boo$53bo
23bo6boboo34bo20bo$32bo17bobbo25boo3boboo33b4o11boo$31boo11b3obb3obbob
o23bo3bobo33bobo4booboo3boo4booboo$31bobo10booboo7bo27boboo31boo7b3o6b
obbo24boo$45bobo3boo3bo17b3o3boo6bo31boboboboboo35boo4boo$34boo10bobo
bboo21bobboobbob3obo33boobobbo10boobbo28boo$34boo14bo3bo20bobbobboobo
28boo7boboo14bo$43b3o3bobo25boobooboobo26boo8boo$25bo6boo3bo5bo3bobbo
32bobbo$24boo5bobbobobobboboo6b3o28boobbo6boo61b3o33b3o177b3o$24bobo3b
oobo3bobb3o8bobbo37boo3bo60bo35bo179bo$28bo9b3o11b3o39boboo59bo35bo
179bo$27bo12bo10bo3bo40b3o$27bobbo10bo12boo40bo78boo42bo$41bo9bo4bo41b
3o12b3obboo55boo4boo35boo$50b3obbobbo40boo12boobboo62boo35bobo$52bobo
4boo38boo12b3oboo101bo$47boobbobbobbobobo37boo16bo103bo$47bo6bobobboo
38boo117boboo$47bobo9bo39boo118bo$53bo6bo39boo$52boo6bo40bo118boobo$
52bobobboo41bo69boo41b3o3boo3bo$56b4o35boo73bobb3o9boo26bobb5o4bo$56bo
boo35bobobbobo67bob5obo6boo4boo21booboo3boo$48bo46bo3bobo69bo6boo11boo
20b3o$47boo49boobbo68bo5b3o$47bobobb5o42bobo69bobbobbo46bo$51b6o36boo
3boo74b4o28b3o4booboo5boo$50bo3boo36boobob3o19boo43boobobbo7bobbo24bo
bb3obboo7bobo$51bo42bobo22bobo42boboobboobo3bobbobo25bo10bo$113boo4bo
44boboo3bo5bobbobo24boo5bo3b5o$91boo20bobo4bobo42bo4bo5boo29boobboo4bo
boo$83b3o5boo3bobo14bo6b3o42boo3bo3bobo30boo3bo5booboo$83bo6bobo23bo
39boobbo4boo6bob3o30bo3bo3b3o7b3o$84bo4boo25boobobbo32boo4bobboo6b4o
34b3ob3obo7bo$86b4obo27b4o34boobobb3o7boo3boo28b3obbo6boboo5b5o$87boo
22boo8bobbo34boobbo9bobo33boo9boboo5boob3o$111bobbo5bob3o41bo6bobobboo
bo32boo8b3obboo3bo$111bo3b4ob3o40bobbo3boo6boobo31bo8boo6bo3b4o$113bo
6bo43bo4boo9bo33boo9boo3bobbobboo$114b5o3b3o40bo5bo8bobo47bobo3boo$
115boobobo55boobbobo51bob3o$119bo56bo28boo27bo$176bo28boo27b4o$178b3o$
178b6o51b3o$178bo18b3o$178boo3bo13bo5boobo$178boobbo17b3o3bo$179b3obb
3o10bo3b3o3bo$181bo4bobo9bobo3bo$181b4obobo10boboo$181b4obobo12bobb3o$
184bo6b3o3boob3o5boo$191bobb4o3bobbo3boo$192boob3o$191b3o4b3obb4o$184b
o14bo3bobo$183b6o12bo3boo$183bo7boo12boo$184bo6bo8boo$186bobobbo8boo5b
o$187bo4bo5boboo4b3o$192boo3b3o6bobo$192boo3bobo8boo$207boo$203b3o$
203bobbo$205bo$204boo3boo$204boo3bobo$204b3obbo$209bo$206boboob3o$208b
oo5bo$207b3o6bo$213bobo$209boboo!

Code: Select all

#C A diagonal c/4 period 464 sideways rake.
#C This is based on a period 116 rake whose period is
#C multiplied by four.
#C David I. Bell, 2 March 2024
x = 598, y = 155
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
$34bo4bobo6boo8bobbo3bo110boo86boo86boo$41boo5b3o7bobbo114bobbo84bobbo
84bobbo$38booboo4bo4bo8bo114bob3o83bob3o83bob3o$38booboo9bo6boo119bo
87bo87bo$40bobo3boo125boboo3bo80boboo3bo80boboo3bo$43bob3o124b5obobo
79b5obobo79b5obobo$41bo3bo3bo16bo105bobbo84bobbo84bobbo$46bo4bo13boo
106bobbobbo81bobbobbo81bobbobbo$43bo3boboobo7bo4bobo106bobo85bobo85bob
o$39boo3bobb3obo7boo105boo3bobbo79boo3bobbo79boo3bobbo$30b3o5boo3boo3b
o10bobo5boboo94boobbobobbo78boobbobobbo78boobbobobbo$30bo9bo5bo19boo
87booboo5bobb5o70booboo5bobb5o70booboo5bobb5o$31bo3bo6bo6boo11boobboo
87bob3obooboo3bobbobo68bob3obooboo3bobbobo68bob3obooboo3bobbobo$33b3o
7b7o12boobboo87bo9bobbo4bo69bo9bobbo4bo69bo9bobbo4bo$32boobo3bo18bo4b
oo4boo81boobobboboobbo13boboo58boobobboboobbo13boboo58boobobboboobbo
13boboo$29boo4b4obo16b4obb4o4bo80bo3bo19b3obooboo55bo3bo19b3obooboo55b
o3bo19b3obooboo$29bo5boobb3o7bo7bobb3o3b3o76bo6bob3o18boobbobboobo47bo
6bob3o18boobbobboobo47bo6bob3o18boobbobboobo$23boo4bo7bob3o7bo9bo9bo
62boo10boo9bo3b3o13bo44boo10boo9bo3b3o13bo44boo10boo9bo3b3o13bo$19bo3b
obo5b3ob3obboo18b5obbo64bobo9bobobb4o3b3ob3o14bo42bobo9bobobb4o3b3ob3o
14bo42bobo9bobobb4o3b3ob3o14bo$18boo3bo9boboo3boo22bo4boo36booboo13boo
5bo15b3oboobboobbobo9b3o20booboo13boo5bo15b3oboobboobbobo9b3o20booboo
13boo5bo15b3oboobboobbobo9b3o$18bobo5bo3b4o3booboo5bo17boo40bob3o13bob
o3boobbo11bobbobo7b4o4bobbo4bo18bob3o13bobo3boobbo11bobbobo7b4o4bobbo
4bo18bob3o13bobo3boobbo11bobbobo7b4o4bobbo4bo$26bobb3obo3bobbo5boo59bo
bboo3boo8bo11bo29boobbobbo20bobboo3boo8bo11bo29boobbobbo20bobboo3boo8b
o11bo29boobbobbo$20b3o3bo3bo5bobboo5b5o6b3o54booboboo7bo3boo3b3o6bobbo
9b3o5boboobboo27booboboo7bo3boo3b3o6bobbo9b3o5boboobboo27booboboo7bo3b
oo3b3o6bobbo9b3o5boboobboo$19b3o6boo5bo8b4o3bo4bo3bo50bo5boboo7boo4boo
4bo4boo3bo8b3o7boo28bo5boboo7boo4boo4bo4boo3bo8b3o7boo28bo5boboo7boo4b
oo4bo4boo3bo8b3o7boo$21bobo4boo14b4o3bo4bo54bo5bo3bo12b7o3boo4bo4b3o8b
ooboo23bo4bo5bo3bo12b7o3boo4bo4b3o8booboo23bo4bo5bo3bo12b7o3boo4bo4b3o
8booboo23bo$23b5obo4booboo5b4o3bo3bo63bo15b4o4bo6boobbo4boo4b6o12bo9b
oo12bo15b4o4bo6boobbo4boo4b6o12bo9boo12bo15b4o4bo6boobbo4boo4b6o12bo9b
oo$24bo4bo4bobo19bobboo60bobo20bobobobbobbobb11o4bo7boobo9bobo13bobo
20bobobobbobbobb11o4bo7boobo9bobo13bobo20bobobobbobbobb11o4bo7boobo9bo
bo$22bobo12boo12boo4boo64bo23boo5bo3b4obo8bo4boobo4bo25bo23boo5bo3b4ob
o8bo4boobo4bo25bo23boo5bo3b4obo8bo4boobo4bo$21b5obb3o6b3o10bo3bo68bobo
6bo5boo4boobo4bobo21bo5b4o9bobo13bobo6bo5boo4boobo4bobo21bo5b4o9bobo
13bobo6bo5boo4boobo4bobo21bo5b4o9bobo$20bobo4bo9b3o9bo4b4o35bo34b3ob3o
bboo5bo6b4o10boo8bo3bo5bo7booboo18b3ob3obboo5bo6b4o10boo8bo3bo5bo7boob
oo18b3ob3obboo5bo6b4o10boo8bo3bo5bo7booboo$19boobob3o4b3o3boobbo8bo3bo
bobo33boo31bob4ob3o3bo4boboo3bo5bobboo3boo9bo3bo5bobbob6o17bob4ob3o3bo
4boboo3bo5bobboo3boo9bo3bo5bobbob6o17bob4ob3o3bo4boboo3bo5bobboo3boo9b
o3bo5bobbob6o$21boo5bobb3o3boo3bo11boboboo27bo4bobo40bo3boobobboo3bob
oo3boboobboob4o5boo3boo6b3obboo28bo3boobobboo3boboo3boboobboob4o5boo3b
oo6b3obboo28bo3boobobboo3boboo3boboobboob4o5boo3boo6b3obboo$26boboobo
6bo3bo11b3obobo25boo47boob3obobo4bo3boobbobo11bo5bo3boboo3b3obboo28boo
b3obobo4bo3boobbobo11bo5bo3boboo3b3obboo28boob3obobo4bo3boobbobo11bo5b
o3boboo3b3obboo$21bo6boo9bo16boo28bobo5boboo34b6o3bobboobboo3boo4bo4b
oo5bo4b3o5b4o3bobo26b6o3bobboobboo3boo4bo4boo5bo4b3o5b4o3bobo26b6o3bo
bboobboo3boo4bo4boo5bo4b3o5b4o3bobo$21bobo3bo12bo14bobbobbo4bo26boo32b
3obb3oboo3bo3bobo5bo5bo6bobo3b3obo8b7o23b3obb3oboo3bo3bobo5bo5bo6bobo
3b3obo8b7o23b3obb3oboo3bo3bobo5bo5bo6bobo3b3obo8b7o$23bobboo7b5o15bobo
7bobo21boobboo24b3o4bobboboo12bobo5bo5bo3bo6bobb5o5bobbo6bo13b3o4bobbo
boo12bobo5bo5bo3bo6bobb5o5bobbo6bo13b3o4bobboboo12bobo5bo5bo3bo6bobb5o
5bobbo6bo$19boo5bobo6bo5bo16bo5bobbo21boobboo24bo6bobbo8bobobbobo14bo
bboo3b3oboboo7b4o7bo12bo6bobbo8bobobbobo14bobboo3b3oboboo7b4o7bo12bo6b
obbo8bobobbobo14bobboo3b3oboboo7b4o7bo$19boo7booboo3bob4o14b3o6boo18bo
4boo4boo22bo4boobo9bob3obo18bobb3oboobbo7bo6bo4bo13bo4boobo9bob3obo18b
obb3oboobbo7bo6bo4bo13bo4boobo9bob3obo18bobb3oboobbo7bo6bo4bo$16bo4bo
5booboo8bo16boo25b4obb4o4bo23b4o4boo6bobboboo25bobobbo15bobbo15b4o4boo
6bobboboo25bobobbo15bobbo15b4o4boo6bobboboo25bobobbo15bobbo$15boo4b3o
6bo53bobb3o3b3o29bo3boobo9bo25bobo8b3obobobbobboo20bo3boobo9bo25bobo8b
3obobobbobboo20bo3boobo9bobboo21bobo8b3obobobbobboo$15bobo9bobboo9bobo
42bo9bo26b3o3boo9boobobbo20b5obb8obo3bo23b3o3boo9boobobbo20b5obb8obo3b
o23b3o3boo9booboboo20b5obb8obo3bo$19bo4bobobbo6boo3bobbo42b5obbo30bo3b
o17boo18bo3bo7bo6bo26bo3bo17boo18bo3bo7bo6bo26bo3bo37bo3bo7bo6bo$18bo
4bo3bobobbo3bobobbobbo46bo4boo22b3obbooboo16boo28boo30b3obbooboo16boo
28boo30b3obbooboo18bo27boo$18bobbo6boo6bo3bobbo48boo26booboobb3o78boob
oobb3o78booboobb3o19boo$27bo11boobo76bobo9bo18bo56bobo9bo18bo56bobo9bo
16boo$24boboobb3o7bobo76boob3o5boo19boo54boob3o5boo19boo54boob3o5boo$
23booboobo10bo82bo4boboo18boo59bo4boboo18boo59bo4boboo20bo$22bo3bo6bo
7bo38boo39bo8boo77bo8boo77bo8boo21boo$21bobbo3bo3bo8bo37bobbo38boo7boo
22bo28boo24boo7boo22bo28boo24boo7boo20boo29boo$21bo4boobbo4boo6bo36bob
o38bobo7bo23boo26bobo23bobo7bo23boo26bobo23bobo7bo51bobo$20bobo3bo3boo
3bobo3bobo37bo40b3o6bobo20boo27bo26b3o6bobo20boo27bo26b3o6bobo22bo26bo
$20bo9bo4bo4boobo78b3o61bo23b3o61bo23b3o32boo27bo$20boboo6boo6boboo74b
oo4bo5bobo27bo27boo3bo18bo5bobo27bo27boo3bo18bo5bobo25boo28boo3bo$21bo
3bobooboo6bobbo73boo10booboobo25boo25boobbobo22booboobo25boo25boobbobo
22booboobo52boobbobo$23bobbo11bobo50boo17boo4bobo8boboo3bo23boo27boboo
bbo21boboo3bo23boo27boboobbo21boboo3bo25bo26boboobbo$21boobbo4bo52bo6b
obbo15boo5boobo12boo53boobob3o25boo53boobob3o25boo27boo24boobob3o$21bo
bo6bo51bobo5bobbo17bo5bobo13boo27bo24bobo3boo26boo27bo24bobo3boo26boo
25boo25bobo3boo$23b3o3boo50bobboo5boo20boobbobo12boo29boo22bo5bo26boo
29boo22bo5bo26boo53bo5bo$18boo3bo57bo31b4obbo11b3obo26boo9b3o17boo24b
3obo26boo9b3o17boo24b3obo28bo8b3o17boo$17boo4bo3bo3bo50boobbo28boobboo
5b3obbo41bo12boo26b3obbo41bo12boo26b3obbo33boo6bo12boo$19bo65bo22boo6b
o4bo4bo39bo7bo10boboo25bo39bo7bo10boboo25bo37boo8bo10boboo$21bobb3oboo
49boo26boo3b3oboo3bo5bo3boo34boo7b3o5bo4bo25bo3boo34boo7b3o5bo4bo25bo
3boo43b3o5bo4bo$21boobo54boo28bob4obbobo11bo34boo9b6oboo3bo29bo34boo9b
6oboo3bo29bo36bo8b6oboo3bo$93bo23bo13bo48bo4bo33bo48bo4bo33bo37boo9bo
4bo$7boo12bo3b6o61boo17bo3bobbobo9boo38bo8bobo4boo30boo38bo8bobo4boo
30boo36boo9bobo4boo$7bobo10bob6o3bo59b3o17bo3bo4bo8bo41boo5b3o36bo41b
oo5b3o36bo48b3o$7bo15b3obbo3boo57bo24bo11booboo37boo5bo38booboo37boo5b
o38booboo39bo4bo$10bo9boo5boo60bo88bobo85bobo80boo3bobo$10boo10boobbob
oo59bo3boo32bo4bo41bo4b5o31bo4bo41bo4b5o31bo4bo39boo5b5o$10boo8boo3boo
bo56bo7boo32bo47boo3boobo31bo47boo3boobo31bo52boobo$9boo8boo4bobo56boo
4bo36boboo43boo39boboo43boo39boboo45bo$oo6boo3bo7bo4bo52bo4bobo4bobbo
32bobo49bo35bobo49bo35bobo47boo$obo3boobbobobobooboo5b4o48boo11b3o34b
oo49boo35boo49boo35boo46boo$o5b3o4bo4boo7bobbo47bobo5boboo179b3o$3bo
10bo12b5o53boo91boo86boobboo$3boo11boo10bobbo49boobboo$16boo12b3o48boo
bboo$26b3obobo44bo4boo4boo41b3o55b3o55b3o113b3o229b3o$26boboobo3bo40b
4obb4o4bo5b3o34bo57bo57bo115bo231bo$26boboboo3boo39bobb3o3b3o8bobb3o
30bo57bo57bo115bo231bo$23boo5bo6bo40bo9bo8bobo$22boo7bo3bo43b5obbo15bo
$24bo10bo47bo4boo10bo$28boo5boo47boo16bobo$28bobo4bo69bo$28bo3bo69bobb
o$31boo69bobbo$32bobbo66bobbo$23boo$23bobo3b3o71bobo$23bo3bo4bo72bo$
26boo$26bo5bo66boo4bo$98boo4boo$100bobboboo$102booboo$$96b3obbo$96bobb
3obo$97b6o$$88bo6boo$87boo5bobbo$87bobo3boobo$91bo$90bo$90bobbo!

Code: Select all

#C A diagonal c/4 period 480 sideways rake.
#C This is based on a period 80 rake whose period is
#C multiplied by six.
#C David I. Bell, 2 March 2024
x = 642, y = 286
19b3o$19bo$20bo$19b3o$19b3oboo3$22bo$21boo$21bo$22b3o$$22boobo9boo7boo
$22boo11bobo4boobo$24bobo8bo6b3obb3o$38bo3bobbobbob3o$26b3o9bobobboboo
bb3o$38bobobbobo4boo$19b3o6bobo6b6o$19bo15b3o4bo16boo$20bo9bo3bo8bo9b
oo4bobo6b4o$22boo5boo3bobbo4boobbo5boo5bo6bo5bo$23bo5boo3b3obb5o10bo
10boo3b3o53b3o$29boo7b3o4b4o3b3o9bo5bo55bo$20bo14bobbo5b7obbo4boob4obo
60bo$17b4obo5b3obb3o3bo15boboobbo4bobo60boo89bo$17bo4bo6boobboo15bobbo
b4o71bo88boo$18bo4boo4boobboo19bobo162bob3o$20bobb3o5b3o24bo68boo94bo$
24boo6b3o84b3o5boo89bo$21booboo3bo3boo84bo6bobo86b4obobobo$22boboobb3o
bo3b3o81bo4boo88bo5bobbo$22bobo3bobboo89b4obo88bobb4o$23boo6boo3boobbo
82boo90boobboo$33boobboobo86bo81boo4boo$31boo4bobo86bobo80bobbobboo$
25bo4bo5bobobo86bobo69bo3bo4bobboobbobbo$17boo5boboboobboo3boo55boo
102b5obbobo4bobbo$16boo5boo3boboob4o56boo32bobboo66bo6b3o3bo4boo$18bo
3boobbo3boo8bobo52bo18bo12bobboo64bobobb4oboobbo13boo$20bo6boo5boo5boo
31boo21boo14boo13bo66b3o3boo17b3ob4o135boo$19bo6boo5bo7bo31boo3bo6bo5b
oo3bo16bobo9boboo66bobbooboo15boo8bo134bobbo$18boobbo9boo41boboo5boo5b
oo12b3o12boboboobo48bo10b3o10bobboo13bobbo6bo134bob3o$18b3obb3o4boo12b
obo30b3o3bobboboo3boo3bo4boo3boboo4boobobbobobo48boo10bo6bo4boo3bo14b
oo146bo$18bo6boobbo15boo30bo4b5o7bo7bobbobobbo6bobbobbo12bo14bo17bo5bo
bo10bobb3oboo3bo4bo10b4o4boo134boboo3bo$14b3ob3o7boobo13bo26b3o4boobbo
5boo3bobbo3bo5bobob4o5boobo11boo6b3o4b6o12boo20bo4bo7boobo8boobbo139b
5obobo$14bo4bo9bob5o36bo7b4obo10bo3boobo8bo3boobboo13bobo5bo6bo7boo8bo
bo3boobobo11bobobbo6bo3bobb3ob3o142bobbo$16bo8b5obboo14bobo22bo6bobbob
o22bobobo3bobb3obboo18bo6bo6bobo11bo7boo8b3o9boo6bo5bo143bobbobbo$11b
4oboo6bo24boo24b3obbo4bobobboo4bo3b3oboo3bo6bobboobbooboo4b3o11boo5bob
obbob5o6bo4bo5boo5boo12bo8bo3bo144bobo$11bo3booboo4bo5bo18bo30bo3bo4b
oobbobobob3obbo3bo5bo4boobobbob3obbo12boo7bo6bo9bobbobb6o4boobb3o5boo
4boo3boboo139boo3bobbo$12bo5boo4bobo4boo45boo3bobb3obb3o4bo4bo4bo7bobb
ob4obboboob3o3b3o21boo23bobb4o4boo9b3o24b3o113boobbobobbo$11boobo3bo7b
oo24bobo15b3o3bob4obo3boo3bo3b3obbo10bo3bobbo3bo3bobo3bo4bo5bo20bo21b
3obo3boboob9o5bo8bob3o8bo105booboo5bobb5o$11boo4bo4boob3obb6o17boo10b
oo3bo4b3o5bo9b3o4bo3b5ob3o6bo8boobooboo3bo4bo20bobo20bo6bobo8bo8boo4b
3o15bo102bob3obooboo3bobbobo$14bobb4oboob3obboo4bo16bo11bobo5boboo8b3o
4boobo4bo4boboo5bo5bo8b3oboobo4bobbo36bo5boobobo4bo22boobb5o8bobbo101b
o9bobbo4bo$12bobobbooboboobboo37bo3bo3bobo9boo5bo4bobbobbo17bo9boo7b3o
bbobo19boboboob3o4boo4bobboo3boo11boo9boob3o3bobbo5bo3bo97boobobboboo
bbo13boboo$12bo5b3o5bo29bobo9boo3b4o8boo15bo18bo50bo4boobbobo5b6obo5b
oo4bo9boo3bobboo3bobboobboo99bo3bo19b3obooboo$20bo5boo3bo3b3o19boo9bo
11boo87bo12b4obo5boboob3obbobbo3bo8bo4b4o4boobbo95bo6bob3o18boobbobboo
bo$12bobo11bo3boobobbo20bo9b5oboo3bobo9boo12b3o26boob4obbo36bo5boobbob
o5b3o4b3obbob3o10bobo4bobbobo82boo10boo9bo3b3o13bo$10b4o11boobboobbo
36booboobbo3bo8bobo3b3o5bo29bo3bo37bob4o5bobobo10b6o3b4o5boo8bo5bo82bo
bo9bobobb4o3b3ob3o14bo$9boo13b3obbobobbobbo22bobo7bobooboo3bob5o3bo5bo
8bo29bo35bo3boo7b3o4bo3bobo4bobobobboboo3bobboobbo3b3o4boo58booboo13b
oo5bo15b3oboobboobbobo9b3o$9bo11boob3o4bo5bobboo19boo7bo4bo4bob6obbobo
4bo9b3o53boo5b3obbo9b3o9bo5b3obboo6boobbo10b3oboo57bob3o13bobo3boobbo
11bobbobo7b4o4bobbo4bo$11bobo6boo3bo5bobbobooboo20bo7boboo4bo5boo3bobo
bo6bo62boo5b3o3bo5bobobboboobo11boobb3ob3o3bo8boobb6o58bobboo3boo8bo
11bo29boobbobbo$10b3o9b4o5bo4bo3bo29b8o11bobboo4b4o4boobo54bo4bo11b4o
21bo3bobb3obo8booboobobobobo62booboboo7bo3boo3b3o6bobbo9b3o5boboobboo$
11bo10b4o9b6o23bobo4b5o9bo5boobb3o4boob4o57boo4bobo11bo20bo9boo7bobboo
3bo3bo59bo5boboo7boo4boo4bo4boo3bo8b3o7boo$9b3o8boo10boo3bobboo13b3o7b
oo19boo11boo65boo5bobo6bobb3o25bobbobo6boob3o3boo62bo5bo3bo12b7o3boo4b
o4b3o8booboo23bo$5boo4boo6bo6boo6bobobo16bo9bo29bobbo5b3o60bo5bobo7bo
bbobobo19b4o4boob4obobboo75bo15b4o4bo6boobbo4boo4b6o12bo9boo$4boobo5bo
5bobbo11boo20bo16bo22boo71bobbo11bo5bo19bo3bo4bobbo5bo79bobo20bobobobb
obbobb11o4bo7boobo9bobo$5bobb3obo6boboo11b4obbo17boo8bobo3bo89boobbobb
o17boo20bobo5boo89bo23boo5bo3b4obo8bo4boobo4bo$4b3o9boo11b3o3boobobo
18bo3boo4boo3bo88boobbobboobbo135bobo6bo5boo4boobo4bobo21bo5b4o9bobo$
3obooboo6boo3bo7bobbob3o4bobo19boo4boo13bo78bo3bo4bo3bo18bo120b3ob3obb
oo5bo6b4o10boo8bo3bo5bo7booboo$o14bobbo8bo4boobo4bobo22boo15bo3bo75bo
bb3obboobo18bobo117bob4ob3o3bo4boboo3bo5bobboo3boo9bo3bo5bobbob6o$bbo
bbo8boo11bo5bo6bo18b6o18bo3bo75bo5bob3o3bo15boo30bo96bo3boobobboo3bob
oo3boboobboob4o5boo3boo6b3obboo$boo4bo8bo12boo8b3o17bobboobo21bo85bo
50boo96boob3obobo4bo3boobbobo11bo5bo3boboo3b3obboo$bb4o8boo10boo3bo7b
oo5boo13bo4bo17b3o77boo8bo23bo25bobo92b6o3bobboobboo3boo4bo4boo5bo4b3o
5b4o3bobo$14boo10bo4boo6boo5bobo10bo6bo17b3o77bobo7bo21bobo115b3obb3ob
oo3bo3bobo5bo5bo6bobo3b3obo8b7o$16bo11bo8bo8bo11bo16boo18bo71bo7boo20b
oo28boo77b3o4bobboboo12bobo5bo5bo3bo6bobb5o5bobbo6bo$15boo8boobo3bobb
oobboo8bo7boo3bo3bo8boo18bo68bobbo7boo50boobb3o72bo6bobbo8bobobbobo14b
obboo3b3oboboo7b4o7bo$15bo12bo3boobbo12boobboobobb3o3boo8bo19b4o16bo
10boo36bobo7boo26bo28boobo72bo4boobo9bob3obo18bobb3oboobbo7bo6bo4bo$
16bo10b4obboobobbo13bo5bo5bob5obo23boobooboboo7b5o6boo43b3ob3o23bobo
26bo4bo74b4o4boo6bobboboo25bobobbo15bobbo$33b4o4bo11bobo3bo8bo3b4o19bo
7b4o7bobboo8bo7boo33bo5bo24boo25b3o4bo76bo3boobo9bo25bobo8b3obobobbobb
oo$33boo5bo10boboo3bo8bo3bo23bo7b4o9boobo5boo6b3obo33bobb3o51bo5bo75b
3o3boo9boobobbo20b5obb8obo3bo$30b3obo4bo10booboo11b3o33bo22boo3boboo
72bo8boo12bobobboo76bo3bo17boo18bo3bo7bo6bo$31boobobbo12bobbo13bob4o
23boo3bo17bobo6boo46bobo25bobo7boo91b3obbooboo16boo28boo$30b3obo17bobo
5bo5boo3bobo22b3o25b3obo4bo41b3o27boo9bo9b3o78booboobb3o$30bobboo3boo
12bobboobb5oboobob3obb3o16b3obo22b3o3bo4bo37booboo3bo39boo6booboo75bob
o9bo18bo$30bo8bo19bo8b3o5boo16boo26bo7bo38boo5bo33bo7boobboobbob3o75b
oob3o5boo19boo$25boobb5obo31boobbo50bo6bo41bob3o32bobo10boobobboo81bo
4boboo18boo$24boo3b4o3b3o20boboob5obboboo134boo11bo4boo79bo8boo$26bobo
bo20booboo4bo5boobboo53bo93boo3bo83boo7boo22bo$29bo21bob3o117b3o38bo4b
oo87bobo7bo23boo$28boo21bobboo3boo7boo3boo33boo63bo30boo6bobo4bo89b3o
6bobo20boo29boo$58boo8boo4bo32bobbo61boboo27boo8boo5booboo84b3o60bobo$
55bo3boo9bo3b3o30bobo61boobo30bo16bobo84bo5bobo27bo26bo$55bo3b3o3boobb
o4bobo31bo62b5o31boo9bo95booboobo25boo27bo$59bo5bo8bo29boo10boo5boo45b
obbo32bo5bo3bobo95boboo3bo23boo28boo3bo$60boo3bobo9bo26boo10boo4boo46b
3o37boobo3boo100boo54boobbobo$72bobb3o94bo38bo3bo104boo27bo26boboobbo$
71b5o40bo54bo35boobb3o5bo99boo29boo24boobob3o$71bobbo40bo55bo35boobo7b
obo97b3obo26boo25bobo3boo$73boo19boo19bobo77bo13bo3bo99b3obbo57bo5bo$
74bobboo14boo9bo12bo76boo11boo5boo97bo39bo8b3o17boo$71bo4boo17bo6boobo
88bobo10b3o15boo87bo3boo34boo6bo12boo$72boboboo19boobboobbo92bo7boboo
14bobo91bo34boo8bo10boboo$74boobobbo16b4obbo28bo64bo3booboobobbo13boo
92bo46b3o5bo4bo$75bo4bo18b3o28bobbo63bo3boob3o110boo38bo8b6oboo3bo8boo
bo$80bo19bo12boo14bo4bo68boboo109bo41boo9bo4bo12bo3bo$75bobo4b3o11b3ob
oobo9boo14boo3bo64bobbo4bo107booboo37boo9bobo4boo10bo4bo$77boobo15b3o
bbobo24bo5bo64b3o29boo134b3o19boo$80bo19bobbo29bo64bobbo28bobo81bo4bo
41bo4bo24bobo$95boo4bo26bo3bo66bobobo26boo82bo47boo3bobo$95bo35bo72bo
109boboo43boo5b5o13bo6boo$128bobbo68bo3bo33boo74bobo52boobo12b5o4bobbo
$129boo109bo74boo48bo13boo4bo6boo$164bo39bo30bo4bo125boo11bobo11bo$
164boo38boo28bo4bo125boo12bo5boboo6bobo$163bobo37bobo31boo141boo4bo4bo
bo$234bo145bobbo6b3o$236bobbo7bo132bo6booboo$238booboo3bob4o75bo54bobo
bobbo$238booboobbo5bo75boo$238bo3bobbo5bo74bobo55bo4bo$242bobobo3bo
134b4o$138bo80bo23bobbobbo$124b3o10bobo78b5o19bo48boo$124bo12bobo78bo
bboo68bobo$127bo10b4o78boobo25boo40bobo$124bobbo14boo104bobo41b3o$125b
obbo10bo4bo78bobo22boo42bobo$126bo14bo150b3o$128bobo10b3o72b3o6b3o64b
oo$130boo11boobo64bo4bobb3o4b3o64bo$131bo12boboo62boo5boob5ob3o26boo
30bo4b3o$130boo12bobo63bobo3b3o4booboo26bobo29b5o6bo$129b3o90bobo29boo
30bo6booboo$124boobooboo80b3o6bobbo$124bo3boboo79b3o7bo64boboo$124bob
3obbo81bobob4obbo63bo76bo$129boo84booboo41boo17bo15boo65boo$128b3o84b
6o40boo16b5obboobo6bobo64bobo$279bobboobb4o6bo$281bobo3boobbooboo70boo
$127b3o115b3o34bo11bo71boo$127b3o115bo33bobbob3o3bo$246bo20boo13bobboo
bbo4bo5bo61boboo$126boo120boo16bobo11b3obbo3bo9boo60b4o34b3o237b3o$
126bo122bo3boo11boo13bobobob3oboo6bob5o55bo3boo34bo239bo$252boo27bo3b
4o3bobboo5bo4bo58bobbo30bo239bo$255boo24bobo3bo7bobbobbo5bo$249b6o32bo
6bobboo10bo55boo3bo14bo$249bobboobo17boo11bo9bo6booboobbo20b3o5b3o23b
oo3bo13boo$236boo13bo4bo15bobo12bo14boobboo3bo19bo5booboo24bo17bob5obo
$236bobo10bo6bo15boo30bobo14boo11bobo29bo20bo3b4o$236bo11bo57bobbobo8b
oo13boboo28boo17bo3bo$239bo7boo3bo53boo3bo10bo3boobbobobo50b3o$239boo
bboobobb3o55b3o15booboboobo52bob4o$243bo5bo5boobbo47bo9boo8boobo48bo5b
oo3bobo$243bobo3bo4boo5bo14boo31bo6boobboo56b5oboobob3obb3o$241boboo3b
o6bobo3b4o11boo31bo7bobboo56bo8b3o5boo$240booboo10boob4o50boo3bo3bob4o
59boobbo$240bobbo11b3o4bobo46boobobbo6bo53boboob5obboboo$242bobo14bo
53booboo4boo46booboo4bo5boobboo$242bobboo12b5o51b3o52bob3o$249boobobb
oobboobbobbo103bobboo3boo7boo3boo$248boo3bob3o4b4obo49bobo4boo51boo8b
oo4bo$249bobbo3boo4boo54b3o3bobo47bo3boo9bo3b3o$249bobbobboo3b3o54bo3b
oo44boo5bo3b3o3boobbo4bobo$249bo9bo52bo5bobb4o42b4o7bo5bo8bo$240b3o14b
o4bo28boo18boo6b3obbo40bo5bo7boo3bobo9bo$240bobb4obo8bo4boo26bobo18bob
o4bobo40b3obobbo22bobb3o$241b3ob4obo39boo27boo39bobboo25b5o$243b3obbob
o6boobo4bo47boboobo3bo36bo7boo21bobbo$257bo5boo47boo4bo3bo35bobbo7b3o
20boo$250bo3b3o6bobbo45boo3bo40bo10b4o20bobboo$249boo3bo10bo46boobboo
bbo39bo9bobbo16bo4boo$255bo8boo48boboo3bo36bobo10boboo16boboboo$261boo
55boboo25bo9bobo10bobbo19boobobbo$260boo56bob3o23b4o6bo14bo22bo4bo$
262bobo21boo11boo34bo5b3obboboo6boboboo9bo27bo$262boo3bo18bobb3o6bobo
16boo8boo5boo5bobo9bobbob4o7bobo22bobo4b3o$262bo3boo18bob5obo4bo16b3o
4bo3bobo4bob5obbooboo3b3o3boobboobbooboo26boobo$262bo3bobo18bo6boo20bo
b4obbobbo7bob3obboob3obo7boo5bo4bo3bo25bo$262bo24bo5b3o21boo4bo6bobo6b
o5bob3obbo9boboo5b3o7bo$266b5o16bobbobbo23boobbo8b3obo4booboobobbobbo
bbo8bo4bobbobboo4b3o$263booboobb3o17b4o24bo11bobbo5bo5bobb3o3boo16bo3b
obooboo$271bo8boobobbo7bobbo22bob3o4b3obbo8b5obbo3boo8bobo6bob3o4bo$
265bo3boboboo5boboobboobo3bobbobo21bobboo4bo5bo6bo3bo3bo14bo8bobo4bo$
266bo13boboo3bo5bobbobo22bobo5bobbobobo10b3o27bo8b3o$267boboo10bo4bo5b
oo28boobo3bobbobo4b3obbo4bo27bobobo4bo$281boo3bo3bobo31bobbo8boo13bo
21b5obobo6bo$272boobbo4boo6bob3o26b4o3boo11boob3o5bo21bo4boboobobbobo$
271boo4bobboo6b4o27boo4boboboo7bo4boo27bobo3boo3bobboo$273boobobb3o7b
oo3boo19boo4bobb4oboo40b3obbo4b3obboo$275boobbo9bobo22bobo6boobbobo5b
oo36bo6bobo7bo$282bo6bobobboobo16boo13bo4boo45boo3booboboo$279bobbo3b
oo6boobo26boo9bobo42boob3ob5o$280bo4boo9bo38b3o42b3oboboboo4bo$281bo5b
o8bobo26bo3b3o3boo39b3o3bobo8bo$292boobbobo14bo7boobboo3b3o4bobo12bo
23bo3boboboo7bo$292bo19boo7boo4boo3bo18boo24bo3b3o$292bo19bobo17bo6bob
ob5obooboo28bo$294b3o36bo7b4o5boo32bo$294b6o15boo23bo8bo33bobo$294bo
20boo22bo3bo7bo10boo20b3o$294boo3bo39bo12bo9bobo21bo$294boobbo18b3o6b
oo11bobo10boo8bobo$295b3obb3o13bo4bo4boo27bobbo4b3o$297bo4bobo11bo4bo
31bob3obo3bobo$297b4obobo11bobo34bo3bobo3b3o$297b4obobo3boobo7boboboo
29bo8boo$300bo7boboo3bo3bobobobo38bo$308boboo3bo3bo12boo24bo4b3o$309bo
5bobboboo10boo23b5o6bo$309boo4bo3b3o35bo6booboo$309boo8bobboo$308boo4b
obbo4bo34boboo$309bo3booboboobbo35bo$305b3obboo3bo3boo30bo15boo$304boo
b3o5bobboobo28b5obboobo6bobo$306bob3o3bo8bo26bobboobb4o6bo$312bo10bo
28bobo3boobbooboo$309b3o6b4o31bo11bo$303boo4bobbo6boob3o25bobbob3o3bo$
302boobo4bo8bobb4o27bobboobbo4bo5bo$303boboo7b3obbobo3bo25b3obbo3bo9b
oo$300b5obboo5bo6boobboo25bobobob3oboo6bob5o$299boo3bobobo6bo6boo3bo
24bo3b4o3bobboo5bo4bo$301bo5b3o7boo3b3o27bobo3bo7bobbobbo5bo$303b3o3bo
8b3obobbo32bo6bobboo10bo$308bo7booboobo34bo9bo6booboobbo$304boo9boo3bo
37bo14boobboo3bo$316boo4b3o50bobo$301bob3o10boo6boo51bobbobo$300b3o21b
4ob3o45boo3bo$294b3obbo16bobo4booboo50b3o$294bo3b3obo12boobo8bo3bo46bo
$292bobobo3bobo6b3obboo9bo54bo$291b3obobboo9bo4bobboo6bobo52bo$291bo7b
o10bo15boboo$293bo3boboo11bo12b3o$291bobbobb3o11b3obboo7bobbo$293bo4b
oo13bobo5b3obbo$288b4obo16bo4b3o3bobbo$288bo4boo16b3ob3o$287boo22bobb
oo5bobboobbo$282bo11bo17booboo5b3o3bo$281boo6bo26bobbobo3bobbo$281bobo
3boo23boo7bo$285bo4bo18bo4bo7bo5boo$284bo4bo18boo4b3obbobo$284bobbo20b
obo3bo6boo3boo$314bo8bobbooboo$311booboo5bo3boo$312b4o9bo$303boo5bo3bo
7booboo$303bobo3bo3bo10b3o$303bo4boo$304boo17boo$299boobbobo3bo13boobo
$298boo24bobboo$299bobo4bo21b3o$299boob4o20bobb3o$299b3o$327boo$292b3o
32b3o$292bobb3oboo$294bo5bo30bo$293boo5bo27boobo$293boobboo30boo$288bo
37bo$287boo6bo29b4o$287bobo3boo29boo3boobo5bo$291bo4bo26boo4b6obobo$
290bo4bo21bo4boo11bo3bo$290bobbo22boo4bobo7b4o$316bobo5bo9bo$320bo14bo
bbo$319bo3boo6bo4boo$319bo10b4o$325bo4bobboo$324b3o5bo$325bo5bobbo$
324boobbob6o$325bobboobooboo$324bobo$324b3obboo$325boo!
BCNU,
-dbell
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Sokwe
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Re: Spaceship Discussion Thread

Post by Sokwe » March 2nd, 2024, 7:11 pm

amling wrote: ↑
March 2nd, 2024, 6:29 pm
 this should be an exhaustive list of c/4 odd ships up to pop 61:

The known pop 46 gutter ship:

Code: Select all

#C [[ TRACK 0 -1/4 ]]
x = 19, y = 10, rule = B3/S23
3bo11bo$3bo11bo$2bobo9bobo2$bo3bo7bo3bo$bob6ob6obo$o7bobo7bo$o7bobo7bo
$o17bo$bob2ob2o3b2ob2obo!
This new (I think) pop 61 ship:

Code: Select all

#C [[ TRACK 0 -1/4 ]]
x = 31, y = 13, rule = B3/S23
13bo3bo$11b9o2$14b3o$13b5o$10b2o7b2o$9b3o7b3o$8bo13bo2$2bo3b2obo11bob
2o3bo$b2o3b2o15b2o3b2o$o2b2o3bo13bo3b2o2bo$bo4b2o15b2o4bo!
This known pop 61 ship:

Code: Select all

#C [[ TRACK 0 -1/4 ]]
x = 21, y = 13, rule = B3/S23
4b2o9b2o$b2o2bo9bo2b2o$bo17bo$ob2o3bo2bo2bo3b2obo$7b3ob3o$o4bo3bobo3bo
4bo$bo6b2ob2o6bo$bo7bobo7bo$6b2obobob2o$6bo2bobo2bo$9bobo$8bo3bo$8b2ob
2o!
This new (I think) pop 59 ship:

Code: Select all

#C [[ TRACK 0 -1/4 ]]
x = 27, y = 12, rule = B3/S23
7bo11bo$3o4bo11bo4b3o$bo4bobo9bobo4bo2$2b2obo6b3o6bob2o$bo3b4o4bo4b4o
3bo$bo3bo2bo9bo2bo3bo$6bo13bo$8b2o2b3o2b2o$10bo5bo$10bo5bo$10bobobobo!
The second and fourth ships are indeed new. The new 61-cell ship gives a new 64-cell ship and a new 66-cell ship using components by Hartmut Holzwart and Tim Coe:

Code: Select all

x = 33, y = 33, rule = B3/S23
13bo3bo$11b9o2$14b3o$13b5o$10b2o7b2o$9b3o7b3ob3o$8bo16b2o3bo$23bob2o3b
2o$2bo3b2obo11bobo4b2o2bo$b2o3b2o16bobo4bo$o2b2o3bo$bo4b2o8$13bo3bo$
11b9o2$14b3o$13b5o$10b2o7bo4bo$9b3o6b3o3b3o$8bo10b2ob2o6b2o$22bo2b3o2b
2o$2bo3b2obo12b2o2b2obo2bo$b2o3b2o$o2b2o3bo$bo4b2o!
-Matthias Merzenich
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dbell
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Re: Spaceship Discussion Thread

Post by dbell » March 2nd, 2024, 10:34 pm

The simple loaf-block animation reaction for diagonal c/4 technology has one limitation that makes building construction convoys using multiple copies of it slightly painful.

The animation reactions using backward gliders to create still lifes can only be adjusted to have full-diagonal displacements. If any animated gliders are required on a half-diagonal displacement, then either the whole convoy creating the backward gliders has to be adjusted by a half-diagonal, a different animation reaction is used which has the proper displacement, or a large shifting convoy has to be attached to the output glider.

Note that sideways gliders can be easily reflected to change their displacement by a half-diagonal, but if the glider is to continue in the original direction another reflection is required, thereby creating a full-diagonal displacement anyway making this useless.

Now if a glider-creating reaction is symmetrical, then that can be used to obtain a half-diagonal displacement. You can simply reflect the reaction across the diagonal and then use the simple glider reflection convoy to put the glider back to the required direction.

You can see this used in the old glider duplication reaction which uses a honey farm. This reaction can produce an output glider having a full-diagonal or half-diagonal displacement in either direction, and the unwanted glider can simply be deleted.

Code: Select all

#C Diagonal c/4 spaceships perturb a honey farm reaction to make two
#C gliders travelling in opposite directions with equal displacements.
#C A small convoy reflects one of the gliders so that they move in
#C the same direction with a displacement difference of 1.5 cells.
x = 45, y = 77
29boo$28boo3bo$30boboo$32b3o$32bo$34b3o$27boobo4boo$27boboo3bobo$21boo
4boboo3b3o$20boo6bo5b3o$21bobo4boo4bobo$21b3o4boobboo$21boo6bobo$23bob
o3boo3bo$29b4o$25bobo$27b4o$17bo9b4o$18boobboo4boo$17boo3boo$9bo$8b5o$
8bobboo$10boobo$$13bobo$$6b3o6b3o$bo4bobb3o4b3o$oo5boob5ob3o$obo3b3o4b
ooboo$12bobo$bb3o6bobbo$b3o7bo$3bobob4obbo$5booboo$5b6o$$13boo$12boo$
13bobo$13b3o$13boo$15bobo$$17bobo$19b3o$19bo$18bo$13boboobo4bo$12boob
oobo$12bobo4bo$17boo$17bo3bo$16bo3bo5b4o$25bo5bo$16bobbo4bo6bo$15boobo
4boobo3boo$15bo6bobbobbo10boo$14boo9boboobo8bobo$14bo7bobo3boobo7bobo$
15bo8b3o3boobo3bo$28boobbo3b4obo$24bo4bo3bobo5bo$25bobboo3bo3b3o$$31bo
bo5boo$30bo8boobo$30boo6bobbo$36boob5o$27boobboo3booboobboo$27bobb3obb
o$27bobo4b3o$34boo$38bo$37bobo$37bobo!
Now if you examine the loaf-block animation reaction, you would like to do a similar thing and reflect the whole reaction so that the output glider can then be reflected to have a half-diagonal displacement.

However the backward gliders that make the loaf and block are on close paths. Because of this, the order that they react with the sparking spaceships is important.

Code: Select all

#C A useful loaf-block still life creating reaction using two backward
#C gliders and two sparking diagonal c/4 spaceships.  The block must
#C be created first.  Adjusting the sparking spaceships to create the
#C loaf first does not work because the second glider runs into it.
x = 196, y = 88
bo127bo$bbo127bo$3o125b3o14$177bo$49boo125boo$48boo126bobo$50bo$52boo
125boo$51bo5bo121boobb3o$55boobo124boobo$56bo3bo120bo4bo$52boobb3o121b
3o4bo$52boobo124bo5bo$40bo13bo3bo108boo12bobobboo$31bo7boo11boo5boo98b
o6boo$32bo6bobo10b3o105bo7bo9b3o$30b3o10bo7boboo103b3o9boo6booboo$42bo
3booboobobbo114boobboobbob3o$42bo3boob3o121boobobboo$48boboo122bo4boo$
44bobbo4bo118boo3bo$44b3o124boo$43bobbo124bo$44bobobo123booboo$49bo
124bobo$45bo3bo28$56boo127bo$55boo127boo$57bo126bobo$59boo$58bo5bo122b
oo$62boobo121boobb3o$63bo3bo123boobo$59boobb3o123bo4bo$59boobo125b3o4b
o$47bo13bo3bo122bo5bo$46boo11boo5boo107boo12bobobboo$46bobo10b3o112boo
$50bo7boboo114bo9b3o$49bo3booboobobbo115boo6booboo$49bo3boob3o119boobb
oobbob3o$55boboo122boobobboo$51bobbo4bo122bo4boo$51b3o125boo3bo$50bobb
o125boo$51bobobo123bo$56bo123booboo$52bo3bo125bobo!
So you cannot simply adjust the sparking spaceships to reflect the reaction since the most advanced glider must be the one that forms a block, and this fixes the orientation of the reaction. To reflect the whole reaction the order of the backward gliders must change, which requires a whole different convoy for their creation.

So I looked for a new animation reaction that is independent of the order of the backward gliders so that a single glider-creating convoy can be used for all cases. Even more so, I looked for a totally symmetrical still-life to be animated. In this way, to create a half-diagonal displacement you only have to reflect the animation convoy, and then add the small reflection convoy.

Here is a convoy I found for animating two loafs placed symmetrically.

Code: Select all

#C A loaf-loaf animation reaction for diagonal c/4 technology.
#C The two loafs are placed symmetrically so that the whole reaction
#C convoy can be reflected along the diagonal to change the direction
#C of the output glider.  By adjusting the location of the sparking
#C spaceships the two input backward gliders can be spaced out so
#C that they are easier to create.  This convoy has a minimum repeat
#C time of 48 generations.
#C David I. Bell, 3 March 2024
x = 195, y = 201
33boo$32boo$34bo$36boo$35bo5bo$39boobo$40bo3bo$36boobb3o$36boobo$24bo
13bo3bo$15bo7boo11boo5boo$13bobo7bobo10b3o$14boo11bo7boboo$11bo14bo3b
ooboobobbo$12bo13bo3boob3o$10b3o19boboo$28bobbo4bo$28b3o$27bobbo$28bob
obo$33bo$29bo3bo$$10boo$9boo$11bo$13boo$12bo5bo$16boobo$17bo3bo$13boo
bb3o$13boobo$bo13bo3bo$oo11boo5boo$obo10b3o$4bo7boboo$3bo3booboobobbo$
3bo3boob3o$9boboo$5bobbo4bo$5b3o$4bobbo$5bobobo$10bo$6bo3bo16$66bo$65b
obo$64bobbo$65boo45boo$62bo49bobo$61bobo48bo$60bobbo51bo$61boo52boo$
115boo$114boo$113boo$111boobbo$78bo10bo18bobb3o$77bobo8boo17boo$76bobb
o8bobo16bobo$77boo23b3o3bo$74bo15b3o9bo6bobbo$73bobo13b3o11bo4bo$72bo
bbo15bobo11boboo3bo$73boo18b6o5b5o$93b7obobo$99boo3bobo$103bobo3$72boo
$72bobo$72bo$41boo32bo$40boo33b3obo$42bo5boo24bobobobo$44boobbobo22boo
bo4bo$43bo4bo12b4obo11boboo$51bo4boobbo3boboo4bo4boboboo$42bobbo5boobb
obboboboboboo3bo5bobbobo$39boobo12bo7bobobo3bo4boobbobboo$38boo4bo9bo
3bobbo3bobo3bobboboobboboo$40bobobbo9bobbo6boboo6bo5bo$45bo6b7o6bob4ob
o3b3o$42bobbo5boo12bobob3o4b3obboo$43bobo4bo6boo17b3obo$43bobo3b4o24b
oobo$44boo3bo23bo4bo$44bo27boo7b4o$72bob7obbobbo$68boo4boob4obbo3bo$
68bobo7boo3boobbo$68bo3booboo3b4o3bo$71boo6bo4boo$72b4o8boo$75bobobbob
o$69bo4boboobboboo3boo$66b4obobo3bobbobo4boobo$66bo3boboobb3o9boo$67bo
bbobbobbo4bobo5bo$64bo14bo3bo5bobo$63boo5b3o7bo7boo$63bobo4b3o9bobb3o$
69bobo10bo3bo$66booboo12bobo$49boo15boo17bo$48boo11b3o3bobboobo16boo$
50bo10bo10bo12boo$52boo8bobboo18bob3obbo$51bo13b3ob3o13bobobobo$70bo
16boobo$50bobbo15boo14boobbo$42boo5boobboboo7b3o17bobboboo$41boo5bo5bo
9bo16boobo3bo$43bo4bobo5bobo7bo13boo6bo$45boobbo10b3o19bobo5bo$45boo
11bobbobbo23boo$60bo23booboo$$84boobo$85bobboboo$86bobo$$89bo$90boo$
89bo$89b3o29bo$85boo4bo28boo$84boo3boo29bobo$86bob3o$88boo32b3o$87boo
32b3o$87boo34bobo$86bobo36b3o$85boo38b3o$85bobo40bo$84bo40bobbo$85boo
37bo3bo$120booboo3bo$119boo7bo$121boboobbo$127bo$124bobo$125bo12b3o$
124bo13bobb4o$123bobo13b7o$123bobo14bo6bo$122bo17boo5bo$122boo19bo$
122boo15bo3bo$142b3o$130boo7boobobo$130bobo3bobo3b3obo$130bob3o3bob3o
3b3o$131boobo5boo$131boo4b4o6bobbo21b3o$131boobb3obo8boo22bobb4o$131b
oo4b3o7bo25b7o$132bo16boobbo20bo6bo$139boo8bo3boboo17boo5bo$133boo5bob
obo5boobobo21bo$140bobbo6bobo20bo3bo$143boboo5bobbo20b3o$142bobboboo3b
oobo8boo7boobobo$147bo6b3oboo4bobo3bobo3b3obo$148b3obbo5boo3bob3o3bob
3o3b3o$145b3obbobobobob3o4boobo5boo$151bobobb3o6boo4b4o6bobbo$146boob
3o4boo7boobb3obo8boo$146bo4bob3o9boo4b3o7bo$154boo10bo16boobbo$151bob
oo18boo8bo3boboo$151b3o13boo5bobobo5boobobo$152boo20bobbo6bobo$177bob
oo5bobbo$176bobboboo3boobo$181bo6b3oboo$182b3obbo5boo$179b3obbobobobob
3o$185bobobb3o$180boob3o4boo$180bo4bob3o$188boo$185boboo$185b3o$186boo
!
What this means is that you can assemble a construction convoy using lots of the backward glider convoys and glider duplication convoys without caring about their half-diagonal alignments. That makes it much easier to build them. (Actually, one of these convoys can be the simpler loaf-block animation convoy, and then the rest can be adjusted to match.)

I hope this discussion was helpful and wasn't confusing.

Of course, I should now build a convoy to produce those loaf-loaf creating backward gliders.

Finally, if we ever find a single-loaf animation reaction, then that can be trivially reflected to create the half-diagonal displacements too.

BCNU,
-dbell
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Re: Spaceship Discussion Thread

Post by dbell » March 3rd, 2024, 7:58 am

Here is the completed loaf-loaf animation creating diagonal c/4 convoy.

Code: Select all

#C Two diagonal c/4 convoys which create and use an animation reaction.
#C The first convoy creates a still life made of a symmetrical pair of
#C loafs which is animated by another convoy to create a sideways glider.
#C The output glider can be produced in either direction and on either a
#C full-diagonal or half-diagonal displacement.  The direction can be
#C changed by flipping over the animation convoy along the line between
#C the two loafs to be animated.  The full-diagonal or half-diagonal
#C displacement can be selected by either using or deleting the small
#C glider reflecting convoy at the back.  The loaf-producing sparking
#C spaceships can be shifted by a multiple of two cells to adjust the
#C full-diagonal lane where the loafs are created.  The animation convoy
#C can be adjusted by a number of generations to change the timing and
#C phase of the output glider.
#C David I. Bell, 3 March 2024
x = 975, y = 678
7b3o$7bo$3o6bo$o6bobo$bo4boob4o$3b4ob5oboo$4boo7boobo3$10bobbo$9b5obo$
9bo6bo$10boboo3bo$18bo$15bobo$$16bobbo$16bobbo$17boboobo$17boobbobo$
18bo5bo$18bo$23bo$21bo$$3boo$4boo49bo$3bo39boo9boo$42boo3bo6bobo$44bob
oo15b3o$46b3o5bobo4booboo$46bo6boobobobo$48b3obo6boboo$49boo7bo$49boo
5boo33boo$51b5o34boo$92bo$94boo$93bo5bo$97boobo$98bo3bo$94boobb3o$94b
oobo$82bo13bo3bo$81boo11boo5boo$81bobo10b3o$85bo7boboo$84bo3booboobobb
o$84bo3boob3o$90boboo$86bobbo4bo$86b3o$85bobbo$86bobobo42boo$91bo29b3o
9bobo$87bo3bo29bobb3o6bo9bo$122bobo16boobo$38boo87bo4boobbo3boobbo$37b
oo86bo6boobboboobbo$32boo4bobo86boboobo3b5o49boo$31boo5boobo94boo40b3o
9bobo$33bo5bobo86bobb6o41bobb3o6bo9bo$35boobbobo87b7o43bobo16boobo$35b
4obbo89b3o50bo4boobbo3boobbo$37boobboo139bo6boobboboobbo$30boo6bo4bo
140boboobo3b5o$29boo3b3oboo3bo149boo$31bob4obbobo143bobb6o$39bo146b7o$
33bo3bobbobo145b3o8boo$33bo3bo4bo155b3o22boo$38bo158b4obo19boo$195boo
6boo11boo5bo$195boo5boo11boo5boo$195bobobboboo7boo4bo4bobobboo$41b3o
151b5obbo7boobo5boo3boob4o$41bo153boo3bobboo5bo8boo10bo$35b3o6bo59boob
oo47boo37b3obo3bo4boobo19bo$35bo6bobbo58bob3o46b3o38bo3boob4ob3obo12bo
$36bo6boboo57bobboobo43b4obo42bob3o18bo3bo$38boo3boboo64boo39boo6boo
38boo4bo3bo13booboo$39bo3bobo60bo3boo40boo5boo43bo7bo11bo3boboo$43bob
oo59b4o42bobobboboo7boo41b3o11boob4o$33b3o3boo6bo17booboo36bo45b5obbo
7boobo31bobo5bo19boobbo$33bobboobbob3obo18bob3o35bobboo42boo3bobboo5bo
34boo5boo4bo15boobo$34bobbobboobo21bobboobo33b3o44b3obo3bo4boobo33bobo
3bo6boo15bo$36boobooboobo26boo21b3o7bobobobo41bo3boob4ob3obo5boo22boob
obobbobobo3boo15boo$42bobbo21bo3boo22bo6b4o6boo45bob3o11bobo20booboob
3obbo22b3o$41boobbo21b4o25bobb3obo53boo4bo3bo7bo24boboobobbo23boobbo$
67bo27b3obbobboobbo3booboo45bo7bo6boo28bobo27bobo$66bobboo24b3obbobo
65b3o5bobbo30bo22bo3bobo$66b3o31bobobo8bobbo42bobo5bo8bo32bobo21b6o$
56b3o7bobobobo24bobo13bobbo42boo5boo4bo5bobo54b3o$56bo6b4o6boo23boo4bo
bbo6bobbobboo37bobo3bo6boo8bo$57bobb3obo33bo6bobo9bobobbo33boobobobbob
obo3boo6bobbo$56b3obbobboobbo3booboo28bo3boo4bo6bo32booboob3obbo13bobb
o$56b3obbobo43bo3bo3boo40boboobobbo16b3o$61bobobo8bobbo29bo5boo5bo42bo
bo12b3ob3o75bo10boo$58bobo13bobbo31boo3bobbooboo3bo41bo6b3oboobb3o74b
5o6boo$59boo4bobbo6bobbobboo28boo3bo3b4obo40bobo5bo7boo75bobboo8bo7boo
$59bo6bobo9bobobbo32bobbo6bo48bo6boo77boobo5boo6b3obo$66bo3boo4bo6bo
28bo5bob3o55b5o87boo3boboo$68bo3bo3boo33bo3b3obobo58boo82bobo6boo$68bo
5boo5bo29bo4booboo58boo6b6o76b3obo4bo$70boo3bobbooboo3bo25boo3bobo59b
oo6boob4o72b3o3bo4bo$72boo3bo3b4obo30bo60bobo5bobboobo74bo7bo$77bobbo
6bobboo85boo6boo3bo11bo64bo6bo$73bo5bob3o6bobb3o20boo59bobo4b3o3bobo8b
oo$72bo3b3obobo7bob5obo19bo57bo7b3obbobobobo5bobo66bo$72bo4booboo9bo6b
oo77boo14bobo6bo95b3o$73boo3bobo10bo5b3o86bob3o3bo3b6o94bo$78bo12bobbo
bbo89b3ob3o5bo3bo87b3o6bo$94b4o89bo3boboobobob3o88bo6bobo$77boo5boobo
bbo7bobbo91boo7boo88bo4boob4o$79bo4boboobboobo3bobbobo90b3o6bobo89b4ob
5oboo$84boboo3bo5bobbobo98bo93boo7boobo$85bo4bo5boo94boo6bobboo$85boo
3bo3bobo95boo5boboo3bo$76boobbo4boo6bob3o92boobobobboo5bo$75boo4bobboo
6b4o93boobo4bo3bo4bo$77boobobb3o7boo3boo89bo3bobboo$79boobbo9bobo94bo
6bo$86bo6bobobboobo$83bobbo3boo6boobo97b3o$84bo4boo9bo99boo$85bo5bo8bo
bo$96boobbobo$96bo$96bo$98b3o$98b6o225boo$98bo152b3o74boo$98boo3bo147b
obb3o65boo5bo$98boobbo149bobo66boo5boo$99b3obb3o150bo65bo4bobobboo$
101bo4bobo146bo69boo3boob4o$101b4obobo148bobo65boo10bo$101b4obobo141b
oobo6bo76bo$104bo144boo3bobbobbo70bo$243b3o4bobbobbo3bo70bo3bo$243bo6b
obbobbo3bo69booboo$246bo3bo6bobo70bo3boboo$243bobbo8boo74boob4o$244bo
bbo6b3o79boobbo$245bo5bo3bo81boobo$247boboboobo83bo$249boo44boo41boo$
253bo26b3o12bobo40b3o$280bo5boobo5bo42boobbo$250bobbo29b3o3bo6boo44bob
o$280bo3b3o3bo5bobbo39bo3bobo$281bobo3bo8bo42b6o$282boboo12bobo40b3o$
284bobb3o12bo$274b3o3boob3o5boo7bobbo$274bobb4o3bobbo3boo7bobbo$275boo
b3o21b3o$274b3o4b3obb4o8b3ob3o61bo10boo$267bo14bo3bobo5b3oboobb3o60b5o
6boo$266b6o12bo3boo4bo7boo61bobboo8bo7boo$266bo7boo12boo5bo6boo63boobo
5boo6b3obo$267bo6bo8boo13b5o73boo3boboo$269bobobbo8boo5bo9boo68bobo6b
oo$270bo4bo5boboo4b3o7boo6b6o62b3obo4bo$275boo3b3o6bobo7boo6boob4o58b
3o3bo4bo$275boo3bobo8boo5bobo5bobboobo60bo7bo$290boo5boo6boo3bo11bo50b
o6bo$286b3o8bobo4b3o3bobo8boo$286bobbo6bo7b3obbobobobo5bobo52bo$288bo
8boo14bobo6bo81b3o$287boo3boo12bob3o3bo3b6o80bo$287boo3bobo12b3ob3o5bo
3bo73b3o6bo$287b3obbo14bo3boboobobob3o74bo6bobo$292bo20boo7boo74bo4boo
b4o$289boboob3o16b3o6bobo75b4ob5oboo$291boo5bo22bo79boo7boobo$290b3o6b
o12boo6bobboo$296bobo13boo5boboo3bo$292boboo14boobobobboo5bo$309boobo
4bo3bo4bo$309bo3bobboo$310bo6bo$$319b3o$320boo7$357b3o$357bobb3o$358bo
bo$363bo$361bo$363bobo$356boobo6bo$355boo3bobbobbo$349b3o4bobbobbo3bo$
349bo6bobbobbo3bo$352bo3bo6bobo$349bobbo8boo126boo$350bobbo6b3o114b3o
9bobo$351bo5bo3bo115bobb3o6bo9bo$353boboboobo117bobo16boobo$355boo44b
oo80bo4boobbo3boobbo$359bo26b3o12bobo77bo6boobboboobbo$386bo5boobo5bo
81boboobo3b5o$356bobbo29b3o3bo6boo88boo$386bo3b3o3bo5bobbo78bobb6o$
387bobo3bo8bo82b7o$388boboo12bobo80b3o$390bobb3o12bo$380b3o3boob3o5boo
7bobbo$380bobb4o3bobbo3boo7bobbo$381boob3o21b3o$380b3o4b3obb4o8b3ob3o$
373bo14bo3bobo5b3oboobb3o$372b6o12bo3boo4bo7boo$372bo7boo12boo5bo6boo$
373bo6bo8boo13b5o$375bobobbo8boo5bo9boo$376bo4bo5boboo4b3o7boo6b6o$
381boo3b3o6bobo7boo6boob4o$381boo3bobo8boo5bobo5bobboobo59bo$396boo5b
oo6boo3bo11bo48boo$392b3o8bobo4b3o3bobo8boo48bobo$392bobbo6bo7b3obbobo
bobo5bobo10boo$394bo8boo14bobo6bo10boo39boo$393boo3boo12bob3o3bo3b6o3b
oo5bo39boo$393boo3bobo12b3ob3o5bo3bobboo5boo18boo$393b3obbo14bo3boboob
obob3o5bo4bobobboo13bobo14boboo$398bo20boo7boo6boo3boob4o4boo5bo15b4o$
395boboob3o16b3o6bobo5boo10bo3bobo3boobbo12bo3boo$397boo5bo22bo20bo3bo
11bo15bobbo$396b3o6bo12boo6bobboo11bo12bo3boo3b3o$402bobo13boo5boboo3b
o9bo3bo8boo4boo4bo11boo3bo$398boboo14boobobobboo5bo9booboo15b7o11boo3b
o$415boobo4bo3bo4bo8bo3boboo13b4o14bo$415bo3bobboo18boob4o31bo$416bo6b
o23boobbo9b3obbo14boo4boo$448boobo8booboo21boo3bo$425b3o21bo12boboboo
20boboo$118boo306boo21boo16bobbo19b3o$118bobo328b3o16b3o19bo$118bo330b
oobbo14bo23b3o$119boo332bobo29boobo4boo$119bobbo327bo3bobo11boo15boboo
3bobo$119bo330b6o4b3o5boobobo5boo4boboo3b3o$121bobo328b3o5bo10bo3bobb
oo6bo5b3o$125bo335bo6boo5bo3bobo4boo4bobo$123bobbo343b5o4b3o4boobboo$
123bobbo352boo6bobo$125b3o353bobo3boo3bo$121b3ob3o359b4o$117b3oboobb3o
355bobo$117bo7boo358b4o$118bo6boo358b4o$121b5o360boo$123boo$122boo6b6o
$122boo6boob4o$121bobo5bobboobo$120boo6boo3bo11bo$120bobo4b3o3bobo8boo
$119bo7b3obbobobobo5bobo$120boo14bobo6bo$129bob3o3bo3b6o$130b3ob3o5bo
3bo$130bo3boboobobob3o$136boo7boo$136b3o6bobo$144bo$135boo6bobboo$135b
oo5boboo3bo$133boobobobboo5bo$132boobo4bo3bo4bo$132bo3bobboo$133bo6bo$
465bo$142b3o319boo$143boo319bobo$$467boo$467boo$$463boboo$462b4o$462bo
3boo$467bobbo$$466boo3bo$466boo3bo$467bo$467bo$468boo23boo$492boo$494b
o$496boo$495bo$$494bobbo$491boobo$490boo4bo$492bobobbo$497bo$494bobbo$
495bobo$495bobo$496boo$496bo$$505boobbo$504boo5bo$505bobo3b4o$505boob
4o$505b3o4bobo$509bo$509b5o$499boobobboobboobbobbo$498boo3bob3o4b4obo$
499bobbo3boo4boo$499bobbobboo3b3o$499bo9bo$490b3o14bo4bo$490bobb4obo8b
o4boo$491b3ob4obo$493b3obbobo6boobo4bo$507bo5boo$500bo3b3o6bobbo$499b
oo3bo10bo$505bo8boo$511boo$510boo$512bobo$512boo3bo$512bo3boo16boo$
512bo3bobo14boo$512bo22bo$516b5o16boo$513booboobb3o13bo5bo$521bo18boob
o$515bo3boboboo16bo3bo$516bo20boobb3o$517boboo16boobo$525bo13bo3bo$
524boo11boo5boo$524bobo10b3o$528bo7boboo$527bo3booboobobbo$527bo3boob
3o6boo$533boboo6bobb3o$529bobbo4bo5bob5obo$529b3o12bo6boo$528bobbo12bo
5b3o$529bobobo10bobbobbo$534bo12b4o$530bo3bobboobobbo7bobbo$537boboobb
oobo3bobbobo$537boboo3bo5bobbobo$538bo4bo5boo$538boo3bo3bobo$529boobbo
4boo6bob3o$528boo4bobboo6b4o$530boobobb3o7boo3boo$532boobbo9bobo$539bo
6bobobboobo$536bobbo3boo6boobo$537bo4boo9bo$538bo5bo8bobo$549boobbobo$
549bo$549bo$551b3o19b3o$551b6o16bobb4o$551bo22b7o$551boo3bo18bo6bo$
551boobbo19boo5bo$552b3obb3o18bo$554bo4bobo12bo3bo$554b4obobo15b3o$
554b4obobo3boo7boobobo$557bo7bobo3bobo3b3obo$565bob3o3bob3o3b3o$566boo
bo5boo$566boo4b4o6bobbo$566boobb3obo8boo$566boo4b3o7bo$567bo16boobbo$
574boo8bo3boboo$568boo5bobobo5boobobo$575bobbo6bobo$578boboo5bobbo15b
oobbo$577bobboboo3boobo14boo5bo$582bo6b3oboo11bobo3b4o$583b3obbo5boo
10boob4o$580b3obbobobobob3o10b3o4bobo$586bobobb3o16bo$581boob3o4boo17b
5o$581bo4bob3o9boobobboobboobbobbo$589boo8boo3bob3o4b4obo16boo$586bob
oo10bobbo3boo4boo20bobb3o$586b3o11bobbobboo3b3o21bob5obo$587boo11bo9bo
25bo6boo$591b3o14bo4bo22bo5b3o$591bobb4obo8bo4boo21bobbobbo$592b3ob4ob
o37b4o$594b3obbobo6boobo4bo12boobobbo7bobbo$608bo5boo13boboobboobo3bo
bbobo$601bo3b3o6bobbo11boboo3bo5bobbobo$600boo3bo10bo13bo4bo5boo$606bo
8boo13boo3bo3bobo$612boo7boobbo4boo6bob3o$611boo7boo4bobboo6b4o$613bob
o6boobobb3o7boo3boo$613boo3bo5boobbo9bobo$613bo3boo12bo6bobobboobo$
613bo3bobo8bobbo3boo6boobo$613bo15bo4boo9bo$617b5o8bo5bo8bobo$614boob
oobb3o17boobbobo$622bo18bo$616bo3boboboo15bo$617bo25b3o$618boboo21b6o$
643bo$643boo3bo$643boobbo$644b3obb3o6bo7boo$646bo4bobo3boo6boo3b3o$
646b4obobo3bobo7bob4o$646b4obobo4boo13bo$649bo10bo8bo$655bo3boo8bobboo
4boo$654b7obobo6b3o3booboo$654bo8boboboboo3boob6o$662boobbobo10bo9bo$
655boo6bobb3o3boboo3bo3boo3boo$655b3o6b3o6b3o3bobo3bobbobo$659bo4boo3b
oo4bo7bobbobo$657bobo5bo12bobobb4obobbo$657boo3booboo12bo3boobbobboobo
$653bo3bo4bo23bobboobboboo$652boo3bo5bo26bo5bo$652bobo22b3o7b5o5bo$
653boo22bo10bo8bo$678bo4b4obb4obbo$652b3o25b4o5boo4boo$648boo3bo20boo
5bobo11boo$648bo3bo10b3o8bobo3boo3boo9b3o$648bo4bo9bo10bo7bo16bo$650bo
bo11bo12bo3boboboo5bo$651bo14boo9boo5bo6b5o6boo$650bo16bo17bobo3bobboo
6bobo$649bobo35bo5boobo5bo$649bobo12boo3bo10bo8bo$648bo7b3o5boobbobo8b
4o3bo9bobobboo$648boo6bo6bobo3boboo6bo4bobobo8boobbobo3boo$648boo7bo4b
oo12bo4bo3bobo9b5o4boo$659b4obo7bob4obboobbo17boo3boo$660boo12bobbobb
ooboo17boo3bo$704bobbo3bo55bo$681boo17bobo7boo54boo$701bo8bob5obo47bob
o$713bo3b4o$712bo3bo52boo$711b3o55boobb3o$712bob4o55boobo$705bo5boo3bo
bo52bo4bo$704b5oboobob3obb3o47b3o4bo$704bo8b3o5boo47bo5bo$712boobbo40b
oo12bobobboo$704boboob5obboboo36boo$696booboo4bo5boobboo41bo9b3o$696bo
b3o59boo6booboo$696bobboo3boo7boo3boo40boobboobbob3o$703boo8boo4bo43b
oobobboo$700bo3boo9bo3b3o42bo4boo$700bo3b3o3boobbo4bobo39boo3bo$704bo
5bo8bo41boo$705boo3bobo9bo38bo$717bobb3o39booboo$716b5o43bobo$716bobbo
$718boo$719bobboo$716bo4boo$717boboboo$719boobobbo$720bo4bo$725bo$720b
obo4b3o$722boobo$725bo13$765boo$764boo$766bo$768boo$767bo5bo$771boobo$
772bo3bo$768boobb3o$768boobo$756bo13bo3bo$755boo11boo5boo$755bobo10b3o
$759bo7boboo$758bo3booboobobbo$758bo3boob3o$764boboo$760bobbo4bo$760b
3o$759bobbo$760bobobo$765bo$761bo3bo12$860boo$860bobo$860bo$863bo$863b
oo$863boo$862boo$861boo$859boobbo$837bo18bobb3o$836boo17boo$836bobo16b
obo$850b3o3bo$838b3o9bo6bobbo$837b3o11bo4bo$839bobo11boboo3bo$841b6o5b
5o$841b7obobo$847boo3bobo$851bobo3$820boo$820bobo$820bo$789boo32bo$
788boo33b3obo$790bo5boo24bobobobo$792boobbobo22boobo4bo$791bo4bo12b4ob
o11boboo$799bo4boobbo3boboo4bo4boboboo$790bobbo5boobbobboboboboboo3bo
5bobbobo$787boobo12bo7bobobo3bo4boobbobboo$786boo4bo9bo3bobbo3bobo3bo
bboboobboboo$788bobobbo9bobbo6boboo6bo5bo$793bo6b7o6bob4obo3b3o$790bo
bbo5boo12bobob3o4b3obboo$791bobo4bo6boo17b3obo$791bobo3b4o24boobo$792b
oo3bo23bo4bo$792bo27boo7b4o$820bob7obbobbo$816boo4boob4obbo3bo$816bobo
7boo3boobbo$816bo3booboo3b4o3bo$819boo6bo4boo$820b4o8boo$823bobobbobo$
817bo4boboobboboo3boo$814b4obobo3bobbobo4boobo$814bo3boboobb3o9boo$
815bobbobbobbo4bobo5bo$812bo14bo3bo5bobo$811boo5b3o7bo7boo$811bobo4b3o
9bobb3o$817bobo10bo3bo$814booboo12bobo$797boo15boo17bo$796boo11b3o3bo
bboobo16boo$798bo10bo10bo12boo$800boo8bobboo18bob3obbo$799bo13b3ob3o
13bobobobo$818bo16boobo$798bobbo15boo14boobbo$790boo5boobboboo7b3o17bo
bboboo$789boo5bo5bo9bo16boobo3bo$791bo4bobo5bobo7bo13boo6bo$793boobbo
10b3o19bobo5bo109boo$793boo11bobbobbo23boo98b3o9bobo$808bo23booboo99bo
bb3o6bo9bo$937bobo16boobo$832boobo106bo4boobbo3boobbo$833bobboboo100bo
6boobboboobbo$834bobo105boboobo3b5o$951boo$837bo105bobb6o$838boo104b7o
$837bo108b3o8boo$837b3o29bo86b3o$833boo4bo28boo85b4obo$832boo3boo29bob
o82boo6boo$834bob3o114boo5boo$836boo32b3o80bobobboboo7boo$835boo32b3o
81b5obbo7boobo$835boo34bobo79boo3bobboo5bo$834bobo36b3o77b3obo3bo4boob
o$833boo38b3o78bo3boob4ob3obo$833bobo40bo83bob3o$832bo40bobbo81boo4bo
3bo$833boo37bo3bo85bo7bo$868booboo3bo92b3o$867boo7bo83bobo5bo$869boboo
bbo84boo5boo4bo$875bo84bobo3bo6boo$872bobo82boobobobbobobo3boo$873bo
12b3o67booboob3obbo$872bo13bobb4o65boboobobbo$871bobo13b7o70bobo$871bo
bo14bo6bo72bo$870bo17boo5bo71bobo$870boo19bo$870boo15bo3bo$890b3o$878b
oo7boobobo$878bobo3bobo3b3obo$878bob3o3bob3o3b3o$879boobo5boo$879boo4b
4o6bobbo21b3o$879boobb3obo8boo22bobb4o$879boo4b3o7bo25b7o$880bo16boobb
o20bo6bo$887boo8bo3boboo17boo5bo$881boo5bobobo5boobobo21bo$888bobbo6bo
bo20bo3bo$891boboo5bobbo20b3o$890bobboboo3boobo8boo7boobobo$895bo6b3ob
oo4bobo3bobo3b3obo$896b3obbo5boo3bob3o3bob3o3b3o$893b3obbobobobob3o4b
oobo5boo$899bobobb3o6boo4b4o6bobbo$894boob3o4boo7boobb3obo8boo$894bo4b
ob3o9boo4b3o7bo$902boo10bo16boobbo$899boboo18boo8bo3boboo$899b3o13boo
5bobobo5boobobo$900boo20bobbo6bobo$925boboo5bobbo$924bobboboo3boobo$
929bo6b3oboo$930b3obbo5boo$927b3obbobobobob3o$933bobobb3o$928boob3o4b
oo$928bo4bob3o$936boo$933boboo$933b3o$934boo!
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Game of Life Fun
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Re: Spaceship Discussion Thread

Post by Game of Life Fun » March 3rd, 2024, 9:52 pm

Game of Life Fun wrote: ↑
October 5th, 2022, 6:14 am
Pseudo p14 beehive puffer.

Code: Select all

x = 38, y = 54, rule = B3/S23
11bo5bo$10b3o3b3o$b3o6bob2ob2obo6b3o$o2bo21bo2bo$3bo21bo$3bo3b3o9b3o3b
o$obo5b2o9b2o5bobo2$10bobo3bobo2$28bo$7bo13bo5b3o$6b2o13b2o3b2obo$5b2o
b2o2bo3bo2b2ob2o2b3o$6b2o3b2o3b2o3b2o3b3o$7b2o11b2o4b3o$9bo9bo7b2o3$
11b2o3b2o$11b2o3b2o4bo7bo$22bo6b3o$5b3o14bo6bob2o$5bo2bo17bo3b3o$5bo
12b3o3b2o4b3o$5bo3bo16bo3b2o$5bo$6bobo7b2o$16b2o2$10b3o$10bo2bo4b3o3b
3o$10bo$10bo11bo$10bo3bobo5b2o$11bobo2bo4bob2o$22b3o$22b3o$24b3o8$23bo
$11b3o8bobo8b3o$10bo2bo8bobo8bo2bo$13bo9bo9bo$9bo3bo19bo3bo$9bo3bo19bo
3bo$13bo19bo$10bobo21bobo!
Reduced:

Code: Select all

x = 27, y = 47, rule = B3/S23
3o3b3o$o2bobo2bo13bo$o7bo4b3o5b3o$o7bo4bo2bo3b2obo$bobo4bo4bo2bo3b3o$
4bo3bo2bobob3o2b3o$8bo2b2o7b3o$5bobo13b2o2$10bobo$11b2o5bo$2b3o12b3o$b
o2bo11b2obo$4bo4b3o4b3o$o3bo3b3obo3b3o$o3bo11b3o$4bo8bo3b2o$bobo9bo$
10bobo$11bo3$17b3o$17bo2bo$17bo$17bo3bo$17bo3bo$17bo$18bobo2$15bo$12b
2obo$11bo3bo$12bo7$2b3o9bo9b3o$2bo2bo7bobo7bo2bo$2bo10bobo10bo$2bo3bo
7bo7bo3bo$2bo3bo15bo3bo$2bo23bo$3bobo17bobo!
Pseudo p18 block puffer:

Code: Select all

x = 24, y = 32, rule = B3/S23
6b3o3b3o$6bo2bobo2bo$6bo7bo$6bo7bo$7bobobobo2$10bo$9b3o$4bo4b3o$3b3o$
2b2obo11bo$2b3o11b3o$3b2o10b2obo$15b3o$15b3o$16b2o5$3o$o2bo$o$o3bo$o3b
o$o20b3o$bobo16bo2bo$23bo$19bo3bo$19bo3bo$23bo$20bobo!
Edit:

Pseudo p18 tub puffer

Code: Select all

x = 43, y = 73, rule = B3/S23
25bo5bo$24b3o3b3o$23b2obo3bob2o$23b3o5b3o$24b2o5b2o2$28bo$27b3o$26bo3b
o$21b3o2bo3bo$20bo2bo$23bo2bo3bo3b3o$23bo2bo3bo2bo2bo$20bobo3b2ob2o5bo
$27bobo2bo3bo$28bo7bo$33bobo2$30bo$30b2o$19bo9bo2bo$18b3o8bobo$17b2obo
6bo3bo$17b3o$17b3o3bob2o3bo$7b3o7b3o4bob6o8bo$6bo2b5o4b2o3b3o5b3o5b3o$
5bo3bobob2o9b2o3bo3bo5bob2o$5bo6bo9bob2o2bo4bo6b3o$7bo6bobo5bobo2bo4bo
7b3o$4bobo6b2ob2o4bo17b3o$3b2obob2o3b2obobo5bo2bobo10b2o$2bobobob2o6bo
b2o5b2o2bo$b2o3bo2bo3b2obo3bo4b2o4b2o$o3bobo2b2o4b2o9bobo2b2o$3bo11bob
ob2o6bo$2o14b2o$14b4o2bo$18bobo$14b2o2bo$14b2o$14bobo2bo$13b2obob2o4b
2o$15b2ob2o4b2o$13b2ob2ob2o2$14b3ob3o2$16bobo$15b2ob2o$14bob4o$13b2o9b
2o$12bo3bob2o4b2o$18b3o$17b2o$15bob2o$15bo2bo3$18bo$11b3o3bobo4b2o$10b
o2bo3bobo4b2o$13bo5bo$9bo3bo4bo$9bo3bo4bo10b3o$13bo14bo2bo$10bobo18bo$
27bo3bo$27bo3bo$31bo$20bo7bobo$19bobo$20bo!
Edit 2:

Growing ship:

Code: Select all

x = 57, y = 37, rule = B3/S23
9b3o3b3o21b3o3b3o$9bo2bobo2bo21bo2bobo2bo$9bo7bo21bo7bo$9bo7bo21bo7bo$
10bobobobo23bobobobo2$13bo29bo$12b3o27b3o$11b2ob2o3bo17bo3b2ob2o$12b3o
3b3o15b3o3b3o$6bo5b3o3bob2o13b2obo3b3o5bo$5b3o4b3o4b3o13b3o4b3o4b3o$5b
ob2o3bobo4b2o15b2o4bobo3b2obo$6b3o3bobo27bobo3b3o$6b3o4bo29bo4b3o$6b2o
41b2o2$13bobo25bobo$13bobo25bobo$13bobo25bobo$21b3o9b3o$12bo2bo4bo2bo
9bo2bo4bo2bo$12bob2o7bo9bo7b2obo$11bo3bo3bo3bo9bo3bo3bo3bo$8b2o9bo3bo
9bo3bo9b2o$3o11bo8bo9bo8bo11b3o$o2bo4b4o3bo4bobo11bobo4bo3b4o4bo2bo$o
12bobo25bobo12bo$o3bo8b2o27b2o8bo3bo$o3bo47bo3bo$o55bo$bobo24bo24bobo$
27b3o$26b2ob2o$25b2o3b2o$16b2o8b2ob2o8b2o$16b2o21b2o!
Wojciech Kęsy

Code: Select all

x = 32, y = 15, rule = Langtons-Ant
AGC$AGC25.B2A$7.2I5.I.2I5.I.2B.A.DA$7.AGC3.A.2AGC3.A.A2B2.B2A$12.2A.G
5.2A.G4.HA$3.2D7.CGA6.CGA$3.2D7.2A7.2A2$13.AC$12.2AG3.AF5.2I$8.2I2.A
2.C.2AD4.I$4.AGC.2I3.EA2.A2.F3.A.A$4.AGC11.HAI4.G$20.AIC$21.G!
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Re: Spaceship Discussion Thread

Post by C_R_116 » March 4th, 2024, 7:59 pm

C_R_116 wrote: ↑
February 27th, 2024, 6:00 pm
 Here's some 2c/7 technology I've been working on.

While I was on zfind, I found two pretty small partial tagalongs for the Weekender.

Code: Select all

x = 54, y = 22, rule = B3/S23
4$3bo12bo11b3o10b3o$2bobo10bobo10bobo10bobo$bo3bo8bo3bo9b3o10b3o$2bo2b
o8bo2bo11b2o4b2o4b2o$2bobo4b2o4bobo16bo2bo9bo$3b3o3b2o3b3o13bobo6bobo
3bo2bo$6bo6bo17b10o4bo2bo$5bo2b4o2bo4b3o11bo4bo4b2ob2o$9b2o9bo12bo4bo
6bo$6b3o2b3o19bo4bo$19bobo$19bobo$20bo$22bo$21bobo$21bobo!
Here's a semi-symmetric extension from one of my partials:

Code: Select all

x = 19, y = 62, rule = B3/S23
3b3o10b3o2$3bobo10bobo$4bo12bo2$5b2ob6ob2o2$6bo2bo2bo2bo2$7b8o$10b2o$
7b2o4b2o$3b3o$3bobo$3bo2bo$3b2o2bo$4b2obo$5b2o2$8b3o$7bo3bo$7bob2o$8b
3o$9bo$8b3o$3b2o9b2o$2bob2o7b2obo$5bobo3bobo$bo4bo5bo4bo$5b3o3b3o$2b3o
9b3o$4bob2o3b2obo$4b3obobob3o$3bo4bobo4bo$bo2b3obobob3o2bo$o17bo$bo2bo
b3ob3obo2bo$3bo3bo3bo3bo2$3b2o2bo3bo2b2o$2bob2o7b2obo$2bo3b2o3b2o3bo$
5bo7bo$5b4ob4o$3bobo2bobo2bobo$2b2o4bobo4b2o$3bo5bo5bo$4b2o3bo3b2o$4bo
4bo4bo$5b2o5b2o$5bobo3bobo$6b2obob2o$6bo5bo$2bobo2b2ob2o2bobo$bo2bo2b
2ob2o2bo2bo$bo2b2o3bo3b2o2bo$bo2b2obo3bob2o2bo$bo2bo3b3o3bo2bo$4bo2bob
obo2bo$bo2bo2bo3bo2bo2bo$3b4o5b4o$3bo2bo5bo2bo!
By: C.R. Hilton, currently working on another cool spaceship.
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Re: Spaceship Discussion Thread

Post by dbell » March 4th, 2024, 9:06 pm

Here is a smaller diagonal c/4 convoy to animate a pair of loafs.

Code: Select all

#C A loaf-loaf animation reaction for diagonal c/4 technology.
#C The two loafs are placed symmetrically so that the whole
#C reaction convoy can be flipped along the diagonal to change the
#C direction of the output glider.  This also shows the optional
#C small glider reflection convoy which reflects the output glider
#C to change its displacement by 1.5 diagonal cells.  This convoy
#C has a minimum repeat time of 84 generations.
#C David I. Bell, 5 March 2024
x = 166, y = 133
21bo$20bobo$19bobbo$20boo$17bo$16bobo$15bobbo$16boo4$57b3o$57bobb3o$
58bobo$63bo$61bo$63bobo$56boobo6bo$55boo3bobbobbo$49b3o4bobbobbo3bo$
49bo6bobbobbo3bo12boobo$42bo9bo3bo6bobo13bo3bo$41bobo5bobbo8boo16bo4bo
$40bobbo6bobbo6b3o18boo$41boo8bo5bo3bo21bobo$38bo14boboboobo$37bobo15b
oo21bo6boo$36bobbo19bo17b5o4bobbo$37boo32boo4bo6boo$56bobbo11bobo11bo$
71bo5boboo6bobo$72boo4bo4bobo$34boo36bobbo6b3o$34bobo35bo6booboo12b3o$
34bo39bobobobbo14bo$3boo32bo51b3o6bo$bboo33b3obo34bo4bo7bo6bobo$4bo5b
oo24bobobobo34b4o9bo4boob4o$6boobbobo22boobo4bo48b4ob5oboo$5bo4bo12b4o
bo11boboo49boo7boobo$13bo4boobbo3boboo4bo4boboboo$4bobbo5boobbobbobobo
boboo3bo5bobbobo$boobo12bo7bobobo3bo4boobbobboo52bobbo$oo4bo9bo3bobbo
3bobo3bobboboobboboo52b5obo$bbobobbo9bobbo6boboo6bo5bo54bo6bo$7bo6b7o
6bob4obo3b3o58boboo3bo$4bobbo5boo12bobob3o4b3obboo62bo$5bobo4bo6boo17b
3obo61bobo$5bobo3b4o24boobo$6boo3bo23bo4bo64bobbo$6bo27boo7b4o58bobbo$
34bob7obbobbo57boboobo$30boo4boob4obbo3bo56boobbobo$30bobo7boo3boobbo
57bo5bo$30bo3booboo3b4o3bo57bo$33boo6bo4boo64bo$34b4o8boo62bo$37bobobb
obo$31bo4boboobboboo3boo$28b4obobo3bobbobo4boobo80boo$28bo3boboobb3o9b
oo81bobo$29bobbobbobbo4bobo5bo81bo$26bo14bo3bo5bobo$25boo5b3o7bo7boo$
25bobo4b3o9bobb3o$31bobo10bo3bo$28booboo12bobo$11boo15boo17bo$10boo11b
3o3bobboobo16boo$12bo10bo10bo12boo$14boo8bobboo18bob3obbo$13bo13b3ob3o
13bobobobo$32bo16boobo$12bobbo15boo14boobbo$4boo5boobboboo7b3o17bobbob
oo$3boo5bo5bo9bo16boobo3bo$5bo4bobo5bobo7bo13boo6bo$7boobbo10b3o19bobo
5bo$7boo11bobbobbo23boo$22bo23booboo$$46boobo$47bobboboo$48bobo$$51bo$
52boo$51bo$51b3o$47boo4bo$46boo3boo$48bob3o$50boo$49boo$49boo83boo$48b
obo83bobo$47boo85bo$47bobo85boo$46bo88bobbo$47boo86bo$137bobo$141bo$
139bobbo$139bobbo$141b3o$137b3ob3o$133b3oboobb3o$133bo7boo$134bo6boo$
137b5o$139boo$138boo6b6o$138boo6boob4o$137bobo5bobboobo$136boo6boo3bo
11bo$136bobo4b3o3bobo8boo$135bo7b3obbobobobo5bobo$136boo14bobo6bo$145b
ob3o3bo3b6o$146b3ob3o5bo3bo$146bo3boboobobob3o$152boo7boo$152b3o6bobo$
160bo$151boo6bobboo$151boo5boboo3bo$149boobobobboo5bo$148boobo4bo3bo4b
o$148bo3bobboo$149bo6bo$$158b3o$159boo!
I also found this convoy which might have some use even though it's easy enough to create backward gliders from sideways ones.

Code: Select all

#C A loaf-loaf animation reaction for diagonal c/4 technology.
#C This creates a backward glider from two symmetrical loafs.
#C This convoy has a minimum repeat time of 84 generations.
#C David I. Bell, 5 March 2024
x = 103, y = 102
21bo$20bobo$19bobbo$20boo$17bo$16bobo$15bobbo$16boo3$57boobo$57bo3bo$
57bo4bo$59boo$61bobo$$56bo6boo$55b5o4bobbo$49boo4bo6boo$49bobo11bo$49b
o5boboo6bobo10b3o$42bo7boo4bo4bobo14bobb3o$41bobo6bobbo6b3o16bobo$40bo
bbo6bo6booboo22bo$41boo9bobobobbo22bo$38bo45bobo$37bobo14bo4bo17boobo
6bo$36bobbo15b4o17boo3bobbobbo$37boo31b3o4bobbobbo3bo$70bo6bobbobbo3bo
$73bo3bo6bobo$70bobbo8boo$33b3o35bobbo6b3o$33bo38bo5bo3bo$3bo30bo39bob
oboobo$bboo32bo3bo35boo$bbobo30b3obobbo37bo$9b3o25bobobbo$5boobbo13bo
bbo7bo4bo37bobbo$5boo3bo11boobboo7boobboboo$12b3o3boobo4bobbo4bo3boo3b
o$boboo8b5obobobobboob4obo3boo5bo$4o11bo4bobb3obob4obo3boo4bobo$o3boo
10boobb3oboobob3obbo3boobbobobo$5bobbo5bo5boo16b5o$13bo4b4o4b3o3boobb
3o3bo$4boo3bobboo5bo22b3o$4boo3bo3boo$5bo4boo27b6o$5bo28boobob3o4bo$6b
oo25boo3b5o3bo$34boboo8bo$29b3obb3o8boboobo$29bo16bo3bo$30bo3boo5boob
3o$32boo4booboo$33b7o8bo$32b3o4boboboobbobbo$28booboobboboboboo3bo3bo$
28bo4boo14bobo$28bob3o5boboobo$32bo3boo3bobboo4b3o$25boo5bo10bo5bo$24b
oo5boo10bo3bo4bo$26bo3b4o10b4o$28bo15boo4bo$11bo16boo3bo14bo$10boo11b
oo6boboo11bo$10bobo10bobobboo16bo3b3o$23bo3bo25bo$13boo11boob3o14boobo
$13boo12bobobobo12boobboobo$27b4obbo13bo$4bo6boo3bo9b3obbo18b3o$3boo5b
obboboboo7bobo14boboo4bo$3bobo3boobo3b3o7bo15b5oboobbo$7bo10b3obboo17b
o6bobo$6bo13boobbo21bobbo$6bobbo10boobbo21bobo$46bo$47bo3bo$46bobobbo$
46bobb3o$51bo43boo$94boo3bo$51boo43boboo$51boo45b3o$50boo46bo$47bo52b
3o$46b5obboo38boobo4boo$46bobboo42boboo3bobo$48b3o36boo4boboo3b3o$86b
oo6bo5b3o$87bobo4boo4bobo$47b3o37b3o4boobboo$47b3o37boo6bobo$89bobo3b
oo3bo$46boo47b4o$46bo44bobo$93b4o$93b4o$94boo!
BCNU,
-dbell
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Game of Life Fun
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Re: Spaceship Discussion Thread

Post by Game of Life Fun » March 5th, 2024, 2:43 pm

Game of Life Fun wrote: ↑
August 20th, 2023, 6:22 am
 Only dot spark to p24 lwss backrake. It should be p8, p12 ot p24.

Code: Select all

x = 19, y = 59, rule = LifeHistory
6.A5.A$5.3A3.3A$5.A.2A.2A.A$6.3A.3A$6.2A3.2A2$9.A$8.A.A$7.A3.A$9.A$2.
3A10.3A$2.A2.A9.A2.A$2.A12.A$2.A3.A3.3A2.A$2.A3.A2.A6.A.A$2.A8.A$3.A.
A3.2A5$8.2A$7.A2.A$7.A3.D$.A4.3A$3A3.2A$A.2A.2A2.2A$.3A.2A.A2.A$.3A.
3A$.2A3.2A$7.A.A$7.3A$8.2A$8.2A$8.2A$11.E19$8.2A$7.3A$7.2A.A$8.3A$9.A
! [[ STOP 24 ]]
I am unsatisfied, but done. Need better p8, P12 or p24 dot sparker.

Code: Select all

x = 67, y = 84, rule = B3/S23
53b3o3b3o$53bo2bobo2bo$53bo7bo$53bo7bo$54bobobobo2$57bo$56b3o$56b3o4$
50bo4bo3bo4b3o$49b3o3bo3bo3bo2bo$48b2obo2bobobobo5bo$48b3o5b3o3bo3bo$
48b3o3bob3o3bo3bo$48b3o6bo8bo$49b2o12bobo4$41b3o3b3o$41bo2bobo2bo$41bo
7bo$41bo7bo$24b3o3b3o9bobobobo6bo$23bo2bo3bo2bo19b2o$26bo3bo14bo8b2o$
26bo3bo13b3o$23bobo5bobo9b2ob2o$44b3o$27b3o14b3o$27b3o14b3o$26bobobo
13bobo$44bobo$45bo2$21bo4b2o7b3o$20b3o12bo2bo$20bob2o11bo$21b3o11bo3bo
15bo$21b3o4bobo4bo3bo6b2o6b3o$7b3o3b3o5b3o4b2o5bo9b3o5b2obo$6bo2bo3bo
2bo4b2o6bo6bobo6bo2bo4b3o$9bo3bo34b2o3b3o$9bo3bo34b2o4b2o$6bobo5bobo2$
10b3o$10b3o$9bobobo$5bo12bo$4b3o10b3o16b3o$4bob2o9bob2o14b5o$5b3o5b2o
3b3o13b2ob3o$5b3o4b2o4b2o15b2o$5b3o2bob2o$5b2o4bo2$22bobo$22b2o$23bo$
10b2o$9bo2bo$9bobo12b3o$8b2o13b5o$2b3o3bo13b2ob3o$bo2bo6b2o10b2o$4bo2b
2o2b2o$o3bo3bo2b2o$4bo4bobo$bobo5b3o$10bo2$10b2o7bo9b3o$10b2o7b2o7bo2b
o$14b2o4b3o8bo$13b3o7b2o2bo3bo$13b2o8bobo5bo$19bobo3bo2bobo$19b2o4bo$
19b2o3bo$23bo!
It is not nesesery, cause there is better, known solution:

Code: Select all

x = 60, y = 64, rule = B3/S23
9$10b3o3b3o$9bo2bo3bo2bo$12bo3bo$12bo3bo$9bobo5bobo2$13b3o$13b3o$13b3o
6bo$21b3o$20b2obo$13b3o4b3o$13b3o4b3o$20b3o$3b3o6b2obo5b2o$2bo2bo6b2ob
2o$5bo5bo$5bo5bobob2o$2bobo10bo$15b2o$13bobo$14bo12b3o$27bo2bo$27bo$
27bo3bo$27bo3bo$27bo$28bobo$22b2o$21bo2bo$21bobo5bo$22bo5b3o14bo$14b3o
10b2obo6bo6b3o$14bo2bo9b3o6b3o4b2obo$14bo10bob3o5b2o2bo3b3o$14bo3bo6bo
2b2o5bo2bobo2b3o$14bo11b4o2b3obo7b2o$15bobo10b2o3b2o6b2o$29b2o3bo6bo2b
o$33bo11bo$45bo!
Wojciech Kęsy

Code: Select all

x = 32, y = 15, rule = Langtons-Ant
AGC$AGC25.B2A$7.2I5.I.2I5.I.2B.A.DA$7.AGC3.A.2AGC3.A.A2B2.B2A$12.2A.G
5.2A.G4.HA$3.2D7.CGA6.CGA$3.2D7.2A7.2A2$13.AC$12.2AG3.AF5.2I$8.2I2.A
2.C.2AD4.I$4.AGC.2I3.EA2.A2.F3.A.A$4.AGC11.HAI4.G$20.AIC$21.G!
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Re: Spaceship Discussion Thread

Post by EvinZL » March 5th, 2024, 4:23 pm

I noticed this weekender tagalong in ikpx2_stdin. It appears to be new:

Code: Select all

x = 45, y = 100, rule = B3/S23
4b2o$4b2o$bo$b2o$b2o$2b2obo$bo3bo$b2o2bo$o3bo$b2o2bo2$3bobo$2b3o$2b3o$3b2o2$
4b2o$4bobo$3bo2bo$6bo$2bob3o$2bo4bo$3b3obo$6b2o2$10bobo$9b4o$8bo$8b2o$9bo$12b
o$10b2ob2o$10b2ob2o$10b2o2b2o$11b2ob2o$12bobo$13bo2$13b3o$11b2ob2o$10bo3b2o$
11bo2bo$11bob2o$14b3o$14bo2bo$14b2obo$16b4o9b2o$18b2o10bo$19bo7b3o$29bo$15b3o
b2o6b2o$16b4o5bo2bo$17b2o7b2o$21b3o2bo$21bobo4bo$21b3o4bo2$28b3o$27bobo$26b3o
bo$25b2obo2bo$25b3o3bo$26bobob2o$26b3o2bo$21b2o2b6o$26bo$19bo2bo2bo$20bo$21b
3o$23b4o$25bobo$27bo$21bobo2bo$22b3o$24bo$23b2o$24bobobo$25bob2o$27b2o$25bo2b
o$24b2ob2o$23b2o2bo$23b3o$24bo2$26bo$25bobo2$23bo3bo$22bo2bo$23bob2o7bo4bo$
26b2o6bo4bo$25bo2bo5bo4bo$25bo2bo3b10o$23b2o2bo3bobo6bobo$23b2obo8bo2bo$25bo
4b2o4b2o4b2o$29b3o10b3o$29bobo10bobo$29b3o10b3o!
It also implies this ship:

Code: Select all

x = 45, y = 57, rule = B3/S23
22bo$21bobo$20bo3bo$21bobo$16bo2bo2bo2bo2bo$15bo4bo3bo4bo$15bo3b2o3b2o
3bo$16bob3o3b3obo$18b2o5b2o$20bo3bo$15b2o2bo5bo2b2o$14b2o13b2o$13bo3b
o9bo3bo$16bo11bo$12b2o17b2o$10b3o19b3o$10bobo19bobo$11b2o3bo11bo3b2o$
12b2obo13bob2o$13bo17bo$13bo17bo$11b2ob2o13b2ob2o$10bobo19bobo2$9bo25b
o$10bo3bo15bo3bo$10b4o17b4o$8b2o25b2o$8b2o25b2o$8bo2bo21bo2bo$9b2obo19b
ob2o$9b2obo19bob2o2$4b4o29b4o$3b3ob2o27b2ob3o$2bo4bo29bo4bo$3bob3o29b
3obo$3b2ob2o29b2ob2o$6b2o29b2o$3b2obo31bob2o$4b2o33b2o$3bobo33bobo$2b
obo35bobo$5bo33bo$5bo33bo$2b2o37b2o$2bobo35bobo$bo41bo$o2b3o33b3o2bo$
3ob2o33b2ob3o$bobob2o31b2obobo$3b2o35b2o2$o43bo$b2o39b2o$4b2o33b2o$4b
2o33b2o!
It can also support the 2c/7 wave (the one with already known support)

Code: Select all

x = 93, y = 57, rule = B3/S23
22bo15bo15bo15bo$21bobo13bobo13bobo13bobo$20bo3bo2b3ob3o2bo3bo2b3ob3o
2bo3bo2b3ob3o2bo3bo$21bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo
2bobo$16bo2bo2bo2bo9bo2bo2bo9bo2bo2bo9bo2bo2bo2bo$15bo4bo4bobo5bobo5bo
bo5bobo5bobo5bobo4bo4bo$15bo3b2o5bo7bo7bo7bo7bo7bo5b2o3bo$16bob3o5b3o
3b3o7b3o3b3o7b3o3b3o5b3obo$18b2o6bo2bobo2bo7bo2bobo2bo7bo2bobo2bo6b2o$
20bo3bobob2ob2obobo3bobob2ob2obobo3bobob2ob2obobo3bo$15b2o2bo53bo2b2o$
14b2o61b2o$13bo3bo57bo3bo$16bo59bo$12b2o65b2o$10b3o67b3o$10bobo67bobo$
11b2o3bo59bo3b2o$12b2obo61bob2o$13bo65bo$13bo65bo$11b2ob2o61b2ob2o$10b
obo67bobo2$9bo73bo$10bo3bo63bo3bo$10b4o65b4o$8b2o73b2o$8b2o73b2o$8bo2b
o69bo2bo$9b2obo67bob2o$9b2obo67bob2o2$4b4o77b4o$3b3ob2o75b2ob3o$2bo4bo
77bo4bo$3bob3o77b3obo$3b2ob2o77b2ob2o$6b2o77b2o$3b2obo79bob2o$4b2o81b
2o$3bobo81bobo$2bobo83bobo$5bo81bo$5bo81bo$2b2o85b2o$2bobo83bobo$bo89b
o$o2b3o81b3o2bo$3ob2o81b2ob3o$bobob2o79b2obobo$3b2o83b2o2$o91bo$b2o87b
2o$4b2o81b2o$4b2o81b2o!
EDIT: previously unnoticed 2c/7 component connection? Front half of weekender tagalong to (two) 186p7h2v0 wings:

Code: Select all

x = 37, y = 46, rule = B3/S23
bo12bo7bo12bo$3o10b3o5b3o10b3o$3o10b3o5b3o10b3o3$3bo3b2o3bo11bo3b2o3bo
$bob4o2b4obo2b3o2bob4o2b4obo$bob4o2b4obo2b3o2bob4o2b4obo$16bo3bo$5b6o
5b2ob2o5b6o$4b2o4b2o5bobo5b2o4b2o$4b2o4b2o3b2o3b2o3b2o4b2o$14b2o5b2o$
13b2o7b2o$13b2obo3bob2o$9b2o3bobo3bobo3b2o$8bo2b2o2bo5bo2b2o2bo$9bo3bo
9bo3bo$9b2o2bo9bo2b2o$9b2o2bo9bo2b2o$9bo2b2o9b2o2bo$10bo15bo$8bob2o13b
2obo3$10b3o11b3o2$12b2o12b2o$12b2o12b2o$11b2o12b2o$9b2o2bo9b2o2bo$8bob
obo9bobobo$8bo2b3o8bo2b3o$7b3o2b2o7b3o2b2o$8b2o2b2o8b2o2b2o$14bo13bo$
15bo13bo$12bo2bo10bo2bo$12bo2bo10bo2bo$12b3o11b3o$11bobo11bobo$10bob2o
10bob2o$12bobo11bobo$11b2obobo8b2obobo$13b2obo10b2obo$15b2o12b2o!
EDIT2: the 186p7h2v0 wing also connects to the front half of the new component:

Code: Select all

x = 43, y = 57, rule = B3/S23
19bo$19bo$18bobo$19bo$19bo$13b4o5b4o$12bo3bo5bo3bo$11bo5bo3bo5bo2$15b
2o5b2o$12bo2bo7bo2bo$12bobo9bobo$12b2o11b2o$12b2o11b2o$9b2o17b2o$8b3o
17b3o$8bo2bo15bo2bo$8b2ob2o13b2ob2o$11bo15bo3$9b3o15b3o$9bobo15bobo$8b
o2bo15bo2bo$7b2ob2o15b2ob2o$3b2o3bobo17bobo$2bo2b2o2bo19bo$3bo3bo$3b2o
2bo23b3o$3b2o2bo25bo$3bo2b2o21b4o$4bo24bo$2bob2o$35bo$34b4o$4b3o27bo3b
2o$35b3obo$3b2o32bo$3b2o31b2o$4b2o29b3o$3bo2b2o$4bobobo29bo$3b3o2bo29b
o$3b2o2b3o28b2o$3b2o2b2o29bo$2bo32b2o$bo35b2o$bo2bo32b4o$bo2bo32bo3bo$
2b3o33b2obo$3bobo30b3o$3b2obo29b2o2bo$2bobo35bo$obob2o34b3o$ob2o36bo$
2o34b2o$36bo2bo!
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dbell
Posts: 291
Joined: June 27th, 2013, 12:47 am
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Re: Spaceship Discussion Thread

Post by dbell » March 5th, 2024, 11:21 pm

I found a general mechanism for period tripling diagonal c/4 rakes (and probably even multiplying their period by any value).

The proof of concept is shown here starting with a period 480 rake which is already a multiple of 3 and so couldn't be period tripled using the methods known before.

Code: Select all

#C A period 480 sideways rake has its period tripled to period 1440
#C using a series of large still lifes placed every 120 cells built
#C by many unseen period 480 rakes.  This uses three copies of a
#C block fuse where each copy ignites the next in series.  This is a
#C very dirty example mechanism.
#C David I. Bell, 6 March 2024
x = 1896, y = 2019
3boo$3boo$18boo$18boo$33boo$oobboo27boo$oobboo$15boobboo$15boobboo$4b
oobboo20boobboo$4boobboo20boobboo$19boobboo$19boobboo$8boobboo20boobb
oo$8boobboo20boobboo$23boobboo$23boobboo$12boobboo20boobboo$12boobboo
20boobboo$27boobboo$27boobboo$16boobboo20boobboo$16boobboo20boobboo$
31boobboo$31boobboo$20boobboo20boobboo$20boobboo20boobboo$35boobboo$
35boobboo$24boobboo20boobboo$24boobboo20boobboo$39boobboo$39boobboo$
28boobboo20boobboo$28boobboo20boobboo$43boobboo$43boobboo$32boobboo20b
oobboo$32boobboo20boobboo$47boobboo$47boobboo$36boobboo20boobboo$36boo
bboo20boobboo$51boobboo$51boobboo$40boobboo20boobboo$40boobboo20boobb
oo$55boobboo$55boobboo$44boobboo20boobboo$44boobboo20boobboo$59boobboo
$59boobboo$48boobboo20boobboo$48boobboo20boobboo$63boobboo$63boobboo$
52boobboo20boobboo$52boobboo20boobboo$67boobboo$67boobboo$56boobboo20b
oobboo$56boobboo20boobboo$71boobboo$71boobboo$60boobboo20boobboo$60boo
bboo20boobboo$75boobboo$75boobboo$64boo24boobboo$64boo24boobboo$79boo$
79boo$94boo$94boo46$123boo$123boo$138boo$138boo$153boo$120boobboo27boo
$120boobboo$135boobboo$135boobboo$124boobboo20boobboo$124boobboo20boo
bboo$139boobboo$139boobboo$128boobboo20boobboo$128boobboo20boobboo$
143boobboo$143boobboo$132boobboo20boobboo$132boobboo20boobboo$147boobb
oo$147boobboo$136boobboo20boobboo$136boobboo20boobboo$151boobboo$151b
oobboo$140boobboo20boobboo$140boobboo20boobboo$155boobboo$155boobboo$
144boobboo20boobboo$144boobboo20boobboo$159boobboo$159boobboo$148boobb
oo20boobboo$148boobboo20boobboo$163boobboo$163boobboo$152boobboo20boo
bboo$152boobboo20boobboo$167boobboo$167boobboo$156boobboo20boobboo$
156boobboo20boobboo$171boobboo$171boobboo$160boobboo20boobboo$160boobb
oo20boobboo$175boobboo$175boobboo$164boobboo20boobboo$164boobboo20boo
bboo$179boobboo$179boobboo$168boobboo20boobboo$168boobboo20boobboo$
183boobboo$183boobboo$172boobboo20boobboo$172boobboo20boobboo$187boobb
oo$187boobboo$176boobboo20boobboo$176boobboo20boobboo$191boobboo$191b
oobboo$180boobboo20boobboo$180boobboo20boobboo$195boobboo$195boobboo$
184boo24boobboo$184boo24boobboo$199boo$199boo$214boo$214boo46$243boo$
243boo$258boo$258boo$273boo$240boobboo27boo$240boobboo$255boobboo$255b
oobboo$244boobboo20boobboo$244boobboo20boobboo$259boobboo$259boobboo$
248boobboo20boobboo$248boobboo20boobboo$263boobboo$263boobboo$252boobb
oo20boobboo$252boobboo20boobboo$267boobboo$267boobboo$256boobboo20boo
bboo$256boobboo20boobboo$271boobboo$271boobboo$260boobboo20boobboo$
260boobboo20boobboo$275boobboo$275boobboo$264boobboo20boobboo$264boobb
oo20boobboo$279boobboo$279boobboo$268boobboo20boobboo$268boobboo20boo
bboo$283boobboo$283boobboo$272boobboo20boobboo$272boobboo20boobboo$
287boobboo$287boobboo$276boobboo20boobboo$276boobboo20boobboo$291boobb
oo$291boobboo$280boobboo20boobboo$280boobboo20boobboo$295boobboo$295b
oobboo$284boobboo20boobboo$284boobboo20boobboo$299boobboo$299boobboo$
288boobboo20boobboo$288boobboo20boobboo$303boobboo$303boobboo$292boobb
oo20boobboo$292boobboo20boobboo$307boobboo$307boobboo$296boobboo20boo
bboo$296boobboo20boobboo$311boobboo$311boobboo$300boobboo20boobboo$
300boobboo20boobboo$315boobboo$315boobboo$304boo24boobboo$304boo24boo
bboo$319boo$319boo$334boo$334boo46$363boo$363boo$378boo$378boo$393boo$
360boobboo27boo$360boobboo$375boobboo$375boobboo$364boobboo20boobboo$
364boobboo20boobboo$379boobboo$379boobboo$368boobboo20boobboo$368boobb
oo20boobboo$383boobboo$383boobboo$372boobboo20boobboo$372boobboo20boo
bboo$387boobboo$387boobboo$376boobboo20boobboo$376boobboo20boobboo$
391boobboo$391boobboo$380boobboo20boobboo$380boobboo20boobboo$395boobb
oo$395boobboo$384boobboo20boobboo$384boobboo20boobboo$399boobboo$399b
oobboo$388boobboo20boobboo$388boobboo20boobboo$403boobboo$403boobboo$
392boobboo20boobboo$392boobboo20boobboo$407boobboo$407boobboo$396boobb
oo20boobboo$396boobboo20boobboo$411boobboo$411boobboo$400boobboo20boo
bboo$400boobboo20boobboo$415boobboo$415boobboo$404boobboo20boobboo$
404boobboo20boobboo$419boobboo$419boobboo$408boobboo20boobboo$408boobb
oo20boobboo$423boobboo$423boobboo$412boobboo20boobboo$412boobboo20boo
bboo$427boobboo$427boobboo$416boobboo20boobboo$416boobboo20boobboo$
431boobboo$431boobboo$420boobboo20boobboo$420boobboo20boobboo$435boobb
oo$435boobboo$424boo24boobboo$424boo24boobboo$439boo$439boo$454boo$
454boo46$483boo$483boo$498boo$498boo$513boo$480boobboo27boo$480boobboo
$495boobboo$495boobboo$484boobboo20boobboo$484boobboo20boobboo$499boo
bboo$499boobboo$488boobboo20boobboo$488boobboo20boobboo$503boobboo$
503boobboo$492boobboo20boobboo$492boobboo20boobboo$507boobboo$507boobb
oo$496boobboo20boobboo$496boobboo20boobboo$511boobboo$511boobboo$500b
oobboo20boobboo$500boobboo20boobboo$515boobboo$515boobboo$504boobboo
20boobboo$504boobboo20boobboo$519boobboo$519boobboo$508boobboo20boobb
oo$508boobboo20boobboo$523boobboo$523boobboo$512boobboo20boobboo$512b
oobboo20boobboo$527boobboo$527boobboo$516boobboo20boobboo$516boobboo
20boobboo$531boobboo$531boobboo$520boobboo20boobboo$520boobboo20boobb
oo$535boobboo$535boobboo$524boobboo20boobboo$524boobboo20boobboo$539b
oobboo$539boobboo$528boobboo20boobboo$528boobboo20boobboo$543boobboo$
543boobboo$532boobboo20boobboo$532boobboo20boobboo$547boobboo$547boobb
oo$536boobboo20boobboo$536boobboo20boobboo$551boobboo$551boobboo$540b
oobboo20boobboo$540boobboo20boobboo$555boobboo$555boobboo$544boo24boo
bboo$544boo24boobboo$559boo$559boo$574boo$574boo46$603boo$603boo$618b
oo$618boo$633boo$600boobboo27boo$600boobboo$615boobboo$615boobboo$604b
oobboo20boobboo$604boobboo20boobboo$619boobboo$619boobboo$608boobboo
20boobboo$608boobboo20boobboo$623boobboo$623boobboo$612boobboo20boobb
oo$612boobboo20boobboo$627boobboo$627boobboo$616boobboo20boobboo$616b
oobboo20boobboo$631boobboo$631boobboo$620boobboo20boobboo$620boobboo
20boobboo$635boobboo$635boobboo$624boobboo20boobboo$624boobboo20boobb
oo$639boobboo$639boobboo$628boobboo20boobboo$628boobboo20boobboo$643b
oobboo$643boobboo$632boobboo20boobboo$632boobboo20boobboo$647boobboo$
647boobboo$636boobboo20boobboo$636boobboo20boobboo$651boobboo$651boobb
oo$640boobboo20boobboo$640boobboo20boobboo$655boobboo$655boobboo$644b
oobboo20boobboo$644boobboo20boobboo$659boobboo$659boobboo$648boobboo
20boobboo$648boobboo20boobboo$663boobboo$663boobboo$652boobboo20boobb
oo$652boobboo20boobboo$667boobboo$667boobboo$656boobboo20boobboo$656b
oobboo20boobboo$671boobboo$671boobboo$660boobboo20boobboo$660boobboo
20boobboo$675boobboo$675boobboo$664boo24boobboo$664boo24boobboo$679boo
$679boo$694boo$694boo46$723boo$723boo$738boo$738boo$753boo$720boobboo
27boo$720boobboo$735boobboo$735boobboo$724boobboo20boobboo$724boobboo
20boobboo$739boobboo$739boobboo$728boobboo20boobboo$728boobboo20boobb
oo$743boobboo$743boobboo$732boobboo20boobboo$732boobboo20boobboo$747b
oobboo$747boobboo$736boobboo20boobboo$736boobboo20boobboo$751boobboo$
751boobboo$740boobboo20boobboo$740boobboo20boobboo$755boobboo$755boobb
oo$744boobboo20boobboo$744boobboo20boobboo$759boobboo$759boobboo$748b
oobboo20boobboo$748boobboo20boobboo$763boobboo$763boobboo$752boobboo
20boobboo$752boobboo20boobboo$767boobboo$767boobboo$756boobboo20boobb
oo$756boobboo20boobboo$771boobboo$771boobboo$760boobboo20boobboo$760b
oobboo20boobboo$775boobboo$775boobboo$764boobboo20boobboo$764boobboo
20boobboo$779boobboo$779boobboo$768boobboo20boobboo$768boobboo20boobb
oo$783boobboo$783boobboo$772boobboo20boobboo$772boobboo20boobboo$787b
oobboo$787boobboo$776boobboo20boobboo$776boobboo20boobboo$791boobboo$
791boobboo$780boobboo20boobboo$780boobboo20boobboo$795boobboo$795boobb
oo$784boo24boobboo$784boo24boobboo$799boo$799boo$814boo$814boo46$843b
oo$843boo$858boo$858boo$873boo$840boobboo27boo$840boobboo$855boobboo$
855boobboo$844boobboo20boobboo$844boobboo20boobboo$859boobboo$859boobb
oo$848boobboo20boobboo$848boobboo20boobboo$863boobboo$863boobboo$852b
oobboo20boobboo$852boobboo20boobboo$867boobboo$867boobboo$856boobboo
20boobboo$856boobboo20boobboo$871boobboo$871boobboo$860boobboo20boobb
oo$860boobboo20boobboo$875boobboo$875boobboo$864boobboo20boobboo$864b
oobboo20boobboo$879boobboo$879boobboo$868boobboo20boobboo$868boobboo
20boobboo$883boobboo$883boobboo$872boobboo20boobboo$872boobboo20boobb
oo$887boobboo$887boobboo$876boobboo20boobboo$876boobboo20boobboo$891b
oobboo$891boobboo$880boobboo20boobboo$880boobboo20boobboo$895boobboo$
895boobboo$884boobboo20boobboo$884boobboo20boobboo$899boobboo$899boobb
oo$888boobboo20boobboo$888boobboo20boobboo$903boobboo$903boobboo$892b
oobboo20boobboo$892boobboo20boobboo$907boobboo$907boobboo$896boobboo
20boobboo$896boobboo20boobboo$911boobboo$911boobboo$900boobboo20boobb
oo$900boobboo20boobboo$915boobboo$915boobboo$904boo24boobboo$904boo24b
oobboo$919boo$919boo$934boo$934boo46$963boo$963boo$978boo$978boo$993b
oo$960boobboo27boo$960boobboo$975boobboo$975boobboo$964boobboo20boobb
oo$964boobboo20boobboo$979boobboo$979boobboo$968boobboo20boobboo$968b
oobboo20boobboo$983boobboo$983boobboo$972boobboo20boobboo$972boobboo
20boobboo$987boobboo$987boobboo$976boobboo20boobboo$976boobboo20boobb
oo$991boobboo$991boobboo$980boobboo20boobboo$980boobboo20boobboo$995b
oobboo$995boobboo$984boobboo20boobboo$984boobboo20boobboo$999boobboo$
999boobboo$988boobboo20boobboo$988boobboo20boobboo$1003boobboo$1003boo
bboo$992boobboo20boobboo$992boobboo20boobboo$1007boobboo$1007boobboo$
996boobboo20boobboo$996boobboo20boobboo$1011boobboo$1011boobboo$1000b
oobboo20boobboo$1000boobboo20boobboo$1015boobboo$1015boobboo$1004boobb
oo20boobboo$1004boobboo20boobboo$1019boobboo$1019boobboo$1008boobboo
20boobboo$1008boobboo20boobboo$1023boobboo$1023boobboo$1012boobboo20b
oobboo$1012boobboo20boobboo$1027boobboo$1027boobboo$1016boobboo20boobb
oo$1016boobboo20boobboo$1031boobboo$1031boobboo$1020boobboo20boobboo$
1020boobboo20boobboo$1035boobboo$1035boobboo$1024boo24boobboo$1024boo
24boobboo$1039boo$1039boo$1054boo$1054boo46$1083boo$1083boo$1098boo$
1098boo$1113boo$1080boobboo27boo$1080boobboo$1095boobboo$1095boobboo$
1084boobboo20boobboo$1084boobboo20boobboo$1099boobboo$1099boobboo$
1088boobboo20boobboo$1088boobboo20boobboo$1103boobboo$1103boobboo$
1092boobboo20boobboo$1092boobboo20boobboo$1107boobboo$1107boobboo$
1096boobboo20boobboo$1096boobboo20boobboo$1111boobboo$1111boobboo$
1100boobboo20boobboo$1100boobboo20boobboo$1115boobboo$1115boobboo$
1104boobboo20boobboo$1104boobboo20boobboo$1119boobboo$1119boobboo$
1108boobboo20boobboo$1108boobboo20boobboo$1123boobboo$1123boobboo$
1112boobboo20boobboo$1112boobboo20boobboo$1127boobboo$1127boobboo$
1116boobboo20boobboo$1116boobboo20boobboo$1131boobboo$1131boobboo$
1120boobboo20boobboo$1120boobboo20boobboo$1135boobboo$1135boobboo$
1124boobboo20boobboo$1124boobboo20boobboo$1139boobboo$1139boobboo$
1128boobboo20boobboo$1128boobboo20boobboo$1143boobboo$1143boobboo$
1132boobboo20boobboo$1132boobboo20boobboo$1147boobboo$1147boobboo$
1136boobboo20boobboo$1136boobboo20boobboo$1151boobboo$1151boobboo$
1140boobboo20boobboo$1140boobboo20boobboo$1155boobboo$1155boobboo$
1144boo24boobboo$1144boo24boobboo$1159boo$1159boo$1174boo$1174boo46$
1203boo$1203boo$1218boo$1218boo$1233boo$1200boobboo27boo$1200boobboo$
1215boobboo$1215boobboo$1204boobboo20boobboo$1204boobboo20boobboo$
1219boobboo$1219boobboo$1208boobboo20boobboo$1208boobboo20boobboo$
1223boobboo$1223boobboo$1212boobboo20boobboo$1212boobboo20boobboo$
1227boobboo$1227boobboo$1216boobboo20boobboo$1216boobboo20boobboo$
1231boobboo$1231boobboo$1220boobboo20boobboo$1220boobboo20boobboo$
1235boobboo$1235boobboo$1224boobboo20boobboo$1224boobboo20boobboo$
1239boobboo$1239boobboo$1228boobboo20boobboo$1228boobboo20boobboo$
1243boobboo$1243boobboo$1232boobboo20boobboo$1232boobboo20boobboo$
1247boobboo$1247boobboo$1236boobboo20boobboo$1236boobboo20boobboo$
1251boobboo$1251boobboo$1240boobboo20boobboo$1240boobboo20boobboo$
1255boobboo$1255boobboo$1244boobboo20boobboo$1244boobboo20boobboo$
1259boobboo$1259boobboo$1248boobboo20boobboo$1248boobboo20boobboo$
1263boobboo$1263boobboo$1252boobboo20boobboo$1252boobboo20boobboo$
1267boobboo$1267boobboo$1256boobboo20boobboo$1256boobboo20boobboo$
1271boobboo$1271boobboo$1260boobboo20boobboo$1260boobboo20boobboo$
1275boobboo$1275boobboo$1264boo24boobboo$1264boo24boobboo$1279boo$
1279boo$1294boo$1294boo46$1323boo$1323boo$1338boo$1338boo$1353boo$
1320boobboo27boo$1320boobboo$1335boobboo$1335boobboo$1324boobboo20boo
bboo$1324boobboo20boobboo$1339boobboo$1339boobboo$1328boobboo20boobboo
$1328boobboo20boobboo$1343boobboo$1343boobboo$1332boobboo20boobboo$
1332boobboo20boobboo$1347boobboo$1347boobboo$1336boobboo20boobboo$
1336boobboo20boobboo$1351boobboo$1351boobboo$1340boobboo20boobboo$
1340boobboo20boobboo$1355boobboo$1355boobboo$1344boobboo20boobboo$
1344boobboo20boobboo$1359boobboo$1359boobboo$1348boobboo20boobboo$
1348boobboo20boobboo$1363boobboo$1363boobboo$1352boobboo20boobboo$
1352boobboo20boobboo$1367boobboo$1367boobboo$1356boobboo20boobboo$
1356boobboo20boobboo$1371boobboo$1371boobboo$1360boobboo20boobboo$
1360boobboo20boobboo$1375boobboo$1375boobboo$1364boobboo20boobboo$
1364boobboo20boobboo$1379boobboo$1379boobboo$1368boobboo20boobboo$
1368boobboo20boobboo$1383boobboo$1383boobboo$1372boobboo20boobboo$
1372boobboo20boobboo$1387boobboo$1387boobboo$1376boobboo20boobboo$
1376boobboo20boobboo$1391boobboo$1391boobboo$1380boobboo20boobboo$
1380boobboo20boobboo$1395boobboo$1395boobboo$1384boo24boobboo$1384boo
24boobboo$1399boo$1399boo$1414boo$1414boo46$1443boo$1443boo$1458boo$
1458boo$1473boo$1440boobboo27boo$1440boobboo$1455boobboo$1455boobboo$
1444boobboo20boobboo$1444boobboo20boobboo$1459boobboo$1459boobboo$
1448boobboo20boobboo$1448boobboo20boobboo$1463boobboo$1463boobboo$
1452boobboo20boobboo$1452boobboo20boobboo$1467boobboo$1467boobboo$
1456boobboo20boobboo$1456boobboo20boobboo$1471boobboo$1471boobboo$
1460boobboo20boobboo$1460boobboo20boobboo$1475boobboo$1475boobboo$
1464boobboo20boobboo$1464boobboo20boobboo$1479boobboo$1479boobboo$
1468boobboo20boobboo$1468boobboo20boobboo$1483boobboo$1483boobboo$
1472boobboo20boobboo$1472boobboo20boobboo$1487boobboo$1487boobboo$
1476boobboo20boobboo$1476boobboo20boobboo$1491boobboo$1491boobboo$
1480boobboo20boobboo$1480boobboo20boobboo$1495boobboo$1495boobboo$
1484boobboo20boobboo$1484boobboo20boobboo$1499boobboo$1499boobboo$
1488boobboo20boobboo$1488boobboo20boobboo$1503boobboo$1503boobboo$
1492boobboo20boobboo$1492boobboo20boobboo$1507boobboo$1507boobboo$
1496boobboo20boobboo$1496boobboo20boobboo$1511boobboo$1511boobboo$
1500boobboo20boobboo$1500boobboo20boobboo$1515boobboo$1515boobboo$
1504boo24boobboo$1504boo24boobboo$1519boo$1519boo$1534boo$1534boo46$
1563boo$1563boo$1578boo$1578boo$1593boo$1560boobboo27boo$1560boobboo$
1575boobboo$1575boobboo$1564boobboo20boobboo$1564boobboo20boobboo$
1579boobboo$1579boobboo$1568boobboo20boobboo$1568boobboo20boobboo$
1583boobboo$1583boobboo$1572boobboo20boobboo$1572boobboo20boobboo$
1587boobboo$1587boobboo$1576boobboo20boobboo$1576boobboo20boobboo$
1591boobboo$1591boobboo$1580boobboo20boobboo$1580boobboo20boobboo$
1595boobboo$1595boobboo$1584boobboo20boobboo$1584boobboo20boobboo$
1599boobboo$1599boobboo$1588boobboo20boobboo$1588boobboo20boobboo$
1603boobboo$1603boobboo$1592boobboo20boobboo$1592boobboo20boobboo$
1607boobboo$1607boobboo$1596boobboo20boobboo$1596boobboo20boobboo$
1611boobboo$1611boobboo$1600boobboo20boobboo$1600boobboo20boobboo$
1615boobboo$1615boobboo$1604boobboo20boobboo$1604boobboo20boobboo$
1619boobboo$1619boobboo$1608boobboo20boobboo$1608boobboo20boobboo$
1623boobboo$1623boobboo$1612boobboo20boobboo$1612boobboo20boobboo$
1627boobboo$1627boobboo$1616boobboo20boobboo$1616boobboo20boobboo$
1631boobboo$1631boobboo$1620boobboo20boobboo$1620boobboo20boobboo$
1635boobboo$1635boobboo$1624boo24boobboo$1624boo24boobboo$1639boo$
1639boo$1654boo$1654boo46$1683boo$1683boo$1698boo$1698boo$1713boo$
1680boobboo27boo$1680boobboo$1695boobboo$1695boobboo$1684boobboo20boo
bboo$1684boobboo20boobboo$1699boobboo$1699boobboo$1688boobboo20boobboo
$1688boobboo20boobboo$1703boobboo$1703boobboo$1692boobboo20boobboo$
1692boobboo20boobboo$1707boobboo$1707boobboo$1696boobboo20boobboo$
1696boobboo20boobboo$1711boobboo$1711boobboo$1700boobboo20boobboo$
1700boobboo20boobboo$1715boobboo$1715boobboo$1704boobboo20boobboo$
1704boobboo20boobboo$1719boobboo$1719boobboo$1708boobboo20boobboo$
1708boobboo20boobboo$1723boobboo$1723boobboo$1712boobboo20boobboo$
1712boobboo20boobboo$1727boobboo$1727boobboo$1716boobboo20boobboo$
1716boobboo20boobboo$1731boobboo$1731boobboo$1720boobboo20boobboo$
1720boobboo20boobboo$1735boobboo$1735boobboo$1724boobboo20boobboo$
1724boobboo20boobboo$1739boobboo$1739boobboo$1385b3o340boobboo20boobb
oo$1385bo342boobboo20boobboo$1386bo356boobboo$1385b3o355boobboo$1385b
3oboo341boobboo20boobboo$1732boobboo20boobboo$1747boobboo$1388bo358boo
bboo$1387boo347boobboo20boobboo$1387bo348boobboo20boobboo$1388b3o360b
oobboo$1751boobboo$1388boobo9boo7boo328boobboo20boobboo$1388boo11bobo
4boobo328boobboo20boobboo$1390bobo8bo6b3obb3o339boobboo$1404bo3bobbobb
ob3o336boobboo$1392b3o9bobobboboobb3o326boo24boobboo$1404bobobbobo4boo
326boo24boobboo$1385b3o6bobo6b6o350boo$1385bo15b3o4bo16boo332boo$1386b
o9bo3bo8bo9boo4bobo6b4o336boo$1388boo5boo3bobbo4boobbo5boo5bo6bo5bo
335boo$1389bo5boo3b3obb5o10bo10boo3b3o53b3o$1395boo7b3o4b4o3b3o9bo5bo
55bo$1386bo14bobbo5b7obbo4boob4obo60bo$1383b4obo5b3obb3o3bo15boboobbo
4bobo60boo89bo$1383bo4bo6boobboo15bobbob4o71bo88boo$1384bo4boo4boobboo
19bobo162bob3o$1386bobb3o5b3o24bo68boo94bo$1390boo6b3o84b3o5boo89bo$
1387booboo3bo3boo84bo6bobo86b4obobobo$1388boboobb3obo3b3o81bo4boo88bo
5bobbo$1388bobo3bobboo89b4obo88bobb4o$1389boo6boo3boobbo82boo90boobboo
$1399boobboobo86bo81boo4boo$1397boo4bobo86bobo80bobbobboo$1391bo4bo5bo
bobo86bobo69bo3bo4bobboobbobbo$1383boo5boboboobboo3boo55boo102b5obbobo
4bobbo$1382boo5boo3boboob4o56boo32bobboo66bo6b3o3bo4boo$1384bo3boobbo
3boo8bobo52bo18bo12bobboo64bobobb4oboobbo13boo$1386bo6boo5boo5boo31boo
21boo14boo13bo66b3o3boo17b3ob4o135boo$1385bo6boo5bo7bo31boo3bo6bo5boo
3bo16bobo9boboo66bobbooboo15boo8bo134bobbo$1384boobbo9boo41boboo5boo5b
oo12b3o12boboboobo48bo10b3o10bobboo13bobbo6bo134bob3o$1384b3obb3o4boo
12bobo30b3o3bobboboo3boo3bo4boo3boboo4boobobbobobo48boo10bo6bo4boo3bo
14boo146bo$1384bo6boobbo15boo30bo4b5o7bo7bobbobobbo6bobbobbo12bo14bo
17bo5bobo10bobb3oboo3bo4bo10b4o4boo134boboo3bo$1380b3ob3o7boobo13bo26b
3o4boobbo5boo3bobbo3bo5bobob4o5boobo11boo6b3o4b6o12boo20bo4bo7boobo8b
oobbo139b5obobo$1380bo4bo9bob5o36bo7b4obo10bo3boobo8bo3boobboo13bobo5b
o6bo7boo8bobo3boobobo11bobobbo6bo3bobb3ob3o142bobbo$1382bo8b5obboo14bo
bo22bo6bobbobo22bobobo3bobb3obboo18bo6bo6bobo11bo7boo8b3o9boo6bo5bo
143bobbobbo$1377b4oboo6bo24boo24b3obbo4bobobboo4bo3b3oboo3bo6bobboobb
ooboo4b3o11boo5bobobbob5o6bo4bo5boo5boo12bo8bo3bo144bobo$1377bo3booboo
4bo5bo18bo30bo3bo4boobbobobob3obbo3bo5bo4boobobbob3obbo12boo7bo6bo9bo
bbobb6o4boobb3o5boo4boo3boboo139boo3bobbo$1378bo5boo4bobo4boo45boo3bo
bb3obb3o4bo4bo4bo7bobbob4obboboob3o3b3o21boo23bobb4o4boo9b3o24b3o113b
oobbobobbo$1377boobo3bo7boo24bobo15b3o3bob4obo3boo3bo3b3obbo10bo3bobbo
3bo3bobo3bo4bo5bo20bo21b3obo3boboob9o5bo8bob3o8bo105booboo5bobb5o$
1377boo4bo4boob3obb6o17boo10boo3bo4b3o5bo9b3o4bo3b5ob3o6bo8boobooboo3b
o4bo20bobo20bo6bobo8bo8boo4b3o15bo102bob3obooboo3bobbobo$1380bobb4oboo
b3obboo4bo16bo11bobo5boboo8b3o4boobo4bo4boboo5bo5bo8b3oboobo4bobbo36bo
5boobobo4bo22boobb5o8bobbo101bo9bobbo4bo$1378bobobbooboboobboo37bo3bo
3bobo9boo5bo4bobbobbo17bo9boo7b3obbobo19boboboob3o4boo4bobboo3boo11boo
9boob3o3bobbo5bo3bo97boobobboboobbo13boboo$1378bo5b3o5bo29bobo9boo3b4o
8boo15bo18bo50bo4boobbobo5b6obo5boo4bo9boo3bobboo3bobboobboo99bo3bo19b
3obooboo$1386bo5boo3bo3b3o19boo9bo11boo87bo12b4obo5boboob3obbobbo3bo8b
o4b4o4boobbo95bo6bob3o18boobbobboobo$1378bobo11bo3boobobbo20bo9b5oboo
3bobo9boo12b3o26boob4obbo36bo5boobbobo5b3o4b3obbob3o10bobo4bobbobo82b
oo10boo9bo3b3o13bo$1376b4o11boobboobbo36booboobbo3bo8bobo3b3o5bo29bo3b
o37bob4o5bobobo10b6o3b4o5boo8bo5bo82bobo9bobobb4o3b3ob3o14bo$1375boo
13b3obbobobbobbo22bobo7bobooboo3bob5o3bo5bo8bo29bo35bo3boo7b3o4bo3bobo
4bobobobboboo3bobboobbo3b3o4boo58booboo13boo5bo15b3oboobboobbobo9b3o$
1375bo11boob3o4bo5bobboo19boo7bo4bo4bob6obbobo4bo9b3o53boo5b3obbo9b3o
9bo5b3obboo6boobbo10b3oboo57bob3o13bobo3boobbo11bobbobo7b4o4bobbo4bo$
1377bobo6boo3bo5bobbobooboo20bo7boboo4bo5boo3bobobo6bo62boo5b3o3bo5bob
obboboobo11boobb3ob3o3bo8boobb6o58bobboo3boo8bo11bo29boobbobbo$1376b3o
9b4o5bo4bo3bo29b8o11bobboo4b4o4boobo54bo4bo11b4o21bo3bobb3obo8booboobo
bobobo62booboboo7bo3boo3b3o6bobbo9b3o5boboobboo$1377bo10b4o9b6o23bobo
4b5o9bo5boobb3o4boob4o57boo4bobo11bo20bo9boo7bobboo3bo3bo59bo5boboo7b
oo4boo4bo4boo3bo8b3o7boo$1375b3o8boo10boo3bobboo13b3o7boo19boo11boo65b
oo5bobo6bobb3o25bobbobo6boob3o3boo62bo5bo3bo12b7o3boo4bo4b3o8booboo23b
o$1371boo4boo6bo6boo6bobobo16bo9bo29bobbo5b3o60bo5bobo7bobbobobo19b4o
4boob4obobboo75bo15b4o4bo6boobbo4boo4b6o12bo9boo$1370boobo5bo5bobbo11b
oo20bo16bo22boo71bobbo11bo5bo19bo3bo4bobbo5bo79bobo20bobobobbobbobb11o
4bo7boobo9bobo$1371bobb3obo6boboo11b4obbo17boo8bobo3bo89boobbobbo17boo
20bobo5boo89bo23boo5bo3b4obo8bo4boobo4bo64boo$1370b3o9boo11b3o3boobobo
18bo3boo4boo3bo88boobbobboobbo135bobo6bo5boo4boobo4bobo21bo5b4o9bobo
52boo$1366b3obooboo6boo3bo7bobbob3o4bobo19boo4boo13bo78bo3bo4bo3bo18bo
120b3ob3obboo5bo6b4o10boo8bo3bo5bo7booboo67boo$1366bo14bobbo8bo4boobo
4bobo22boo15bo3bo75bobb3obboobo18bobo117bob4ob3o3bo4boboo3bo5bobboo3b
oo9bo3bo5bobbob6o69boo$1368bobbo8boo11bo5bo6bo18b6o18bo3bo75bo5bob3o3b
o15boo30bo96bo3boobobboo3boboo3boboobboob4o5boo3boo6b3obboo85boo$1367b
oo4bo8bo12boo8b3o17bobboobo21bo85bo50boo96boob3obobo4bo3boobbobo11bo5b
o3boboo3b3obboo52boobboo27boo$1368b4o8boo10boo3bo7boo5boo13bo4bo17b3o
77boo8bo23bo25bobo92b6o3bobboobboo3boo4bo4boo5bo4b3o5b4o3bobo53boobboo
$1380boo10bo4boo6boo5bobo10bo6bo17b3o77bobo7bo21bobo115b3obb3oboo3bo3b
obo5bo5bo6bobo3b3obo8b7o70boobboo$1382bo11bo8bo8bo11bo16boo18bo71bo7b
oo20boo28boo77b3o4bobboboo12bobo5bo5bo3bo6bobb5o5bobbo6bo68boobboo$
1381boo8boobo3bobboobboo8bo7boo3bo3bo8boo18bo68bobbo7boo50boobb3o72bo
6bobbo8bobobbobo14bobboo3b3oboboo7b4o7bo56boobboo20boobboo$1381bo12bo
3boobbo12boobboobobb3o3boo8bo19b4o16bo10boo36bobo7boo26bo28boobo72bo4b
oobo9bob3obo18bobb3oboobbo7bo6bo4bo56boobboo20boobboo$1382bo10b4obboob
obbo13bo5bo5bob5obo23boobooboboo7b5o6boo43b3ob3o23bobo26bo4bo74b4o4boo
6bobboboo25bobobbo15bobbo71boobboo$1399b4o4bo11bobo3bo8bo3b4o19bo7b4o
7bobboo8bo7boo33bo5bo24boo25b3o4bo76bo3boobo9bo25bobo8b3obobobbobboo
73boobboo$1399boo5bo10boboo3bo8bo3bo23bo7b4o9boobo5boo6b3obo33bobb3o
51bo5bo75b3o3boo9boobobbo20b5obb8obo3bo67boobboo20boobboo$1396b3obo4bo
10booboo11b3o33bo22boo3boboo72bo8boo12bobobboo76bo3bo17boo18bo3bo7bo6b
o68boobboo20boobboo$1397boobobbo12bobbo13bob4o23boo3bo17bobo6boo46bobo
25bobo7boo91b3obbooboo16boo28boo92boobboo$1396b3obo17bobo5bo5boo3bobo
22b3o25b3obo4bo41b3o27boo9bo9b3o78booboobb3o140boobboo$1396bobboo3boo
12bobboobb5oboobob3obb3o16b3obo22b3o3bo4bo37booboo3bo39boo6booboo75bob
o9bo18bo108boobboo20boobboo$1396bo8bo19bo8b3o5boo16boo26bo7bo38boo5bo
33bo7boobboobbob3o75boob3o5boo19boo106boobboo20boobboo$1391boobb5obo
31boobbo50bo6bo41bob3o32bobo10boobobboo81bo4boboo18boo122boobboo$1390b
oo3b4o3b3o20boboob5obboboo134boo11bo4boo79bo8boo142boobboo$1392bobobo
20booboo4bo5boobboo53bo93boo3bo83boo7boo22bo108boobboo20boobboo$1395bo
21bob3o117b3o38bo4boo87bobo7bo23boo106boobboo20boobboo$1394boo21bobboo
3boo7boo3boo33boo63bo30boo6bobo4bo89b3o6bobo20boo29boo91boobboo$1424b
oo8boo4bo32bobbo61boboo27boo8boo5booboo84b3o60bobo90boobboo$1421bo3boo
9bo3b3o30bobo61boobo30bo16bobo84bo5bobo27bo26bo81boobboo20boobboo$
1421bo3b3o3boobbo4bobo31bo62b5o31boo9bo95booboobo25boo27bo78boobboo20b
oobboo$1425bo5bo8bo29boo10boo5boo45bobbo32bo5bo3bobo95boboo3bo23boo28b
oo3bo88boobboo$1426boo3bobo9bo26boo10boo4boo46b3o37boobo3boo100boo54b
oobbobo87boobboo$1438bobb3o94bo38bo3bo104boo27bo26boboobbo75boobboo20b
oobboo$1437b5o40bo54bo35boobb3o105boo29boo24boobob3o74boobboo20boobboo
$1437bobbo40bo55bo35boobo107b3obo26boo25bobo3boo89boobboo$1439boo19boo
19bobo77bo13bo3bo9boo88b3obbo57bo5bo90boobboo$1440bobboo14boo9bo12bo
76boo11boo5boo6bobo88bo39bo8b3o17boo78boobboo20boobboo$1437bo4boo17bo
6boobo88bobo10b3o12boo90bo3boo34boo6bo12boo85boobboo20boobboo$1438bobo
boo19boobboobbo92bo7boboo108bo34boo8bo10boboo99boobboo$1440boobobbo16b
4obbo28bo64bo3booboobobbo107bo46b3o5bo4bo98boobboo$1441bo4bo18b3o28bo
bbo63bo3boob3o110boo38bo8b6oboo3bo8boobo75boobboo20boobboo$1446bo19bo
12boo14bo4bo68boboo22boo85bo41boo9bo4bo12bo3bo74boobboo20boobboo$1441b
obo4b3o11b3oboobo9boo14boo3bo64bobbo4bo20bobo84booboo37boo9bobo4boo10b
o4bo88boobboo$1443boobo15b3obbobo24bo5bo64b3o26boo137b3o19boo90boobboo
$1446bo19bobbo29bo64bobbo112bo4bo41bo4bo24bobo76boobboo20boobboo$1461b
oo4bo26bo3bo66bobobo110bo47boo3bobo100boobboo20boobboo$1461bo35bo72bo
109boboo43boo5b5o13bo6boo90boobboo$1494bobbo68bo3bo30boo77bobo52boobo
12b5o4bobbo87boobboo$1495boo103bobo78boo48bo13boo4bo6boo80boobboo20boo
bboo$1530bo39bo29boo130boo11bobo11bo80boobboo20boobboo$1530boo38boo
159boo3boo7bo5boboo6bobo91boobboo$1529bobo37bobo164boo8boo4bo4bobo95b
oobboo$1746bobbo6b3o85boobboo20boobboo$1607boo137bo6booboo86boobboo20b
oobboo$1607boo44bo94bobobobbo103boobboo$1653boo204boobboo$1652bobo95bo
4bo92boobboo20boobboo$1751b4o93boobboo20boobboo$1504bo80bo277boobboo$
1490b3o10bobo78b5o24boo42boo204boobboo$1490bo12bobo78bobboo23bobo42bob
o192boobboo20boobboo$1493bo10b4o78boobo22boo43bobo192boobboo20boobboo$
1490bobbo14boo148b3o206boobboo$1491bobbo10bo4bo78bobo66bobo206boobboo$
1492bo14bo150b3o195boobboo20boobboo$1494bobo10b3o72b3o6b3o25boo37boo
196boobboo20boobboo$1496boo11boobo64bo4bobb3o4b3o23bobo38bo211boobboo$
1497bo12boboo62boo5boob5ob3o23boo33bo4b3o210boobboo$1496boo12bobo63bob
o3b3o4booboo58b5o6bo196boobboo20boobboo$1495b3o90bobo61bo6booboo196boo
bboo20boobboo$1490boobooboo80b3o6bobbo284boobboo$1490bo3boboo79b3o7bo
64boboo219boobboo$1490bob3obbo81bobob4obbo32boo29bo76bo133boo24boobboo
$1495boo84booboo36boo22bo15boo65boo133boo24boobboo$1494b3o84b6o58b5obb
oobo6bobo64bobo147boo$1645bobboobb4o6bo216boo$1647bobo3boobbooboo70boo
160boo$1493b3o115b3o34bo11bo71boo160boo$1493b3o115bo33bobbob3o3bo$
1612bo35bobboobbo4bo5bo61boboo$1492boo120boo30b3obbo3bo9boo60b4o114b3o
$1492bo122bo3boo26bobobob3oboo6bob5o55bo3boo114bo$1618boo27bo3b4o3bobb
oo5bo4bo58bobbo110bo$1621boo14boo8bobo3bo7bobbobbo5bo$1615b6o15bobo14b
o6bobboo10bo55boo3bo14bo$1615bobboobo14boo14bo9bo6booboobbo20b3o5b3o
23boo3bo13boo$1602boo13bo4bo30bo14boobboo3bo19bo5booboo24bo17bob5obo$
1602bobo10bo6bo47bobo14boo11bobo29bo20bo3b4o$1602bo11bo57bobbobo8boo
13boboo28boo17bo3bo$1605bo7boo3bo53boo3bo10bo3boobbobobo50b3o$1605boo
bboobobb3o55b3o15booboboobo52bob4o$1609bo5bo5boobbo47bo9boo8boobo48bo
5boo3bobo$1609bobo3bo4boo5bo47bo6boobboo56b5oboobob3obb3o$1607boboo3bo
6bobo3b4o14boo28bo7bobboo56bo8b3o5boo$1606booboo10boob4o16bobo31boo3bo
3bob4o59boobbo$1606bobbo11b3o4bobo14bo31boobobbo6bo53boboob5obboboo$
1608bobo14bo53booboo4boo46booboo4bo5boobboo$1608bobboo12b5o51b3o52bob
3o$1615boobobboobboobbobbo103bobboo3boo7boo3boo$1614boo3bob3o4b4obo49b
obo4boo51boo8boo4bo$1615bobbo3boo4boo54b3o3bobo47bo3boo9bo3b3o$1615bo
bbobboo3b3o54bo3boo44boo5bo3b3o3boobbo4bobo$1615bo9bo52bo5bobb4o42b4o
7bo5bo8bo$1606b3o14bo4bo24boo22boo6b3obbo40bo5bo7boo3bobo9bo$1606bobb
4obo8bo4boo23boo22bobo4bobo40b3obobbo22bobb3o$1607b3ob4obo68boo39bobb
oo25b5o$1609b3obbobo6boobo4bo47boboobo3bo36bo7boo21bobbo$1623bo5boo30b
oo15boo4bo3bo35bobbo7b3o20boo$1616bo3b3o6bobbo27bobo15boo3bo40bo10b4o
20bobboo$1615boo3bo10bo28boo16boobboobbo39bo9bobbo16bo4boo$1621bo8boo
48boboo3bo36bobo10boboo16boboboo$1627boo55boboo25bo9bobo10bobbo19boobo
bbo$1626boo56bob3o23b4o6bo14bo22bo4bo$1628bobo21boo13boo32bo5b3obboboo
6boboboo9bo27bo$1628boo3bo18bobb3o9boo14boo8boo5boo5bobo9bobbob4o7bobo
22bobo4b3o$1628bo3boo18bob5obo21b3o4bo3bobo4bob5obbooboo3b3o3boobboobb
ooboo26boobo$1628bo3bobo18bo6boo20bob4obbobbo7bob3obboob3obo7boo5bo4bo
3bo25bo$1628bo24bo5b3o21boo4bo6bobo6bo5bob3obbo9boboo5b3o7bo$1632b5o
16bobbobbo23boobbo8b3obo4booboobobbobbobbo8bo4bobbobboo4b3o$1629booboo
bb3o17b4o13boo9bo11bobbo5bo5bobb3o3boo16bo3bobooboo$1637bo8boobobbo7bo
bbo8bobo11bob3o4b3obbo8b5obbo3boo8bobo6bob3o4bo$1631bo3boboboo5boboobb
oobo3bobbobo7boo12bobboo4bo5bo6bo3bo3bo14bo8bobo4bo$1632bo13boboo3bo5b
obbobo22bobo5bobbobobo10b3o27bo8b3o$1633boboo10bo4bo5boo28boobo3bobbob
o4b3obbo4bo27bobobo4bo$1647boo3bo3bobo31bobbo8boo13bo21b5obobo6bo$
1638boobbo4boo6bob3o19boo5b4o3boo11boob3o5bo21bo4boboobobbobo$1637boo
4bobboo6b4o20bobo4boo4boboboo7bo4boo27bobo3boo3bobboo$1639boobobb3o7b
oo3boo16boo7bobb4oboo40b3obbo4b3obboo$1641boobbo9bobo31boobbobo5boo36b
o6bobo7bo$1648bo6bobobboobo31bo4boo45boo3booboboo$1645bobbo3boo6boobo
26boo9bobo42boob3ob5o$1646bo4boo9bo38b3o42b3oboboboo4bo$1647bo5bo8bobo
26bo3b3o3boo39b3o3bobo8bo$1658boobbobo14bo11boo3b3o4bobo12bo23bo3bobob
oo7bo$1658bo19boo13boo3bo18boo24bo3b3o$1658bo19bobo17bo6bobob5obooboo
28bo$1660b3o36bo7b4o5boo32bo$1660b6o15boo23bo8bo33bobo$1660bo20boo22bo
3bo7bo10boo20b3o$1660boo3bo39bo12bo9bobo21bo$1660boobbo18b3o19bobo10b
oo8bobo$1661b3obb3o13bo4bo33bobbo4b3o$1663bo4bobo11bo4bo31bob3obo3bobo
$1663b4obobo11bobo34bo3bobo3b3o$1663b4obobo3boobo7boboboo5boo22bo8boo$
1666bo7boboo3bo3bobobobo4boo32bo$1674boboo3bo3bo38bo4b3o$1675bo5bobbob
oo35b5o6bo$1675boo4bo3b3o35bo6booboo$1675boo8bobboo$1674boo4bobbo4bo
34boboo$1675bo3booboboobbo35bo$1671b3obboo3bo3boo30bo15boo$1670boob3o
5bobboobo17boo9b5obboobo6bobo$1672bob3o3bo8bo15boo9bobboobb4o6bo$1678b
o10bo28bobo3boobbooboo$1675b3o6b4o31bo11bo$1669boo4bobbo6boob3o25bobbo
b3o3bo$1668boobo4bo8bobb4o27bobboobbo4bo5bo$1669boboo7b3obbobo3bo25b3o
bbo3bo9boo$1666b5obboo5bo6boobboo25bobobob3oboo6bob5o$1665boo3bobobo6b
o6boo3bo24bo3b4o3bobboo5bo4bo$1667bo5b3o7boo3b3o27bobo3bo7bobbobbo5bo$
1669b3o3bo8b3obobbo32bo6bobboo10bo$1674bo7booboobo34bo9bo6booboobbo$
1670boo9boo3bo37bo14boobboo3bo$1682boo4b3o50bobo$1667bob3o10boo6boo51b
obbobo$1666b3o21b4ob3o45boo3bo$1660b3obbo16bobo4booboo50b3o$1660bo3b3o
bo12boobo8bo3bo46bo$1658bobobo3bobo6b3obboo9bo54bo$1657b3obobboo9bo4bo
bboo6bobo52bo$1657bo7bo10bo15boboo$1659bo3boboo11bo12b3o$1657bobbobb3o
11b3obboo7bobbo$1659bo4boo13bobo5b3obbo$1654b4obo16bo4b3o3bobbo$1654bo
4boo16b3ob3o$1653boo22bobboo5bobboobbo$1648bo11bo17booboo5b3o3bo$1647b
oo6bo26bobbobo3bobbo$1647bobo3boo23boo7bo$1651bo4bo18bo4bo7bo5boo$
1650bo4bo18boo4b3obbobo$1650bobbo20bobo3bo6boo3boo$1680bo8bobbooboo$
1677booboo5bo3boo$1678b4o9bo$1669boo5bo3bo7booboo$1669bobo3bo3bo10b3o$
1669bo4boo$1670boo17boo$1665boobbobo3bo13boobo$1664boo24bobboo$1665bob
o4bo21b3o$1665boob4o20bobb3o$1665b3o$1693boo$1658b3o32b3o$1658bobb3ob
oo$1660bo5bo30bo$1659boo5bo27boobo$1659boobboo30boo$1654bo37bo$1653boo
6bo29b4o$1653bobo3boo29boo3boobo5bo$1657bo4bo26boo4b6obobo$1656bo4bo
21bo4boo11bo3bo$1656bobbo22boo4bobo7b4o$1682bobo5bo9bo$1686bo14bobbo$
1685bo3boo6bo4boo$1685bo10b4o$1691bo4bobboo$1690b3o5bo$1691bo5bobbo$
1690boobbob6o$1691bobboobooboo$1690bobo$1690b3obboo$1691boo!
I tried adding more fuses to increase the period multiplication factor but the dirty reactions prematurely ignites them. Some small tweaks to the still life could probably fix this.

Maybe someone can find a practical still life which can do a similar thing.

BCNU,
-dbell
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May13
Posts: 789
Joined: March 11th, 2021, 8:33 am

Re: Spaceship Discussion Thread

Post by May13 » March 6th, 2024, 3:58 am

EvinZL wrote: ↑
March 5th, 2024, 4:23 pm
 I noticed this weekender tagalong in ikpx2_stdin. It appears to be new:
...
EDIT: previously unnoticed 2c/7 component connection? ...
Actually, these components are not new, they are already in jslife-moving (https://github.com/Matthias-Merzenich/j ... ps-2c7.rle):

Code: Select all

#C Period-7 2c/7 spaceships
#C  1. "Weekender": spaceship by David Eppstein, 12 Jan 2000
#C  2. Tagalong by Stephen Silver, 27 Apr 2000
#C  3. "Scholar": spaceship by Andrew J. Wade, 30 Dec 2019
#C  4. Wave by Hartmut Holzwart, 30 Apr 2016
#C     Stabilization by Andrew J. Wade, 22 Mar 2020
#C  5. Component connections by "praosylen", Mar - Apr 2020
#C  6. Component connection by Matthias Merzenich, 8 Dec 2020
#C  7. Tagalong by Matthias Merzenich, 19 Mar 2021
#C  8. Component connections by Matthias Merzenich and
#C     "wwei23", Mar 2021
#C  9. By "May13", 23 Nov 2021
#C     Using components by Andrew J. Wade and Matthias Merzenich
#C 10. By Andrew J. Wade, 26 Apr 2022
#C 11. Component connections by "May13", 26 Apr 2022
x = 493, y = 257, rule = B3/S23
2bo24bo12bo43bobobo22bo43bo3bo20bo15bo15bo15bo65bo$27bo12bo69b3o66bobo
13bobo13bobo13bobo64bo$2bo23bobo10bobo46bo21b3o42bo3bo18bo3bo2b3ob3o2b
o3bo2b3ob3o2bo3bo2b3ob3o2bo3bo62bobo$27bo12bo133b2o3bobo2bo2bobo2bo2bo
bo2bo2bobo2bo2bobo2bo2bobo2bo2bobo3b2o59bo$2bo24bo12bo43bobobo17b3o5b
3o38bobobo13bo2b2o2bo2bo9bo2bo2bo9bo2bo2bo9bo2bo2b2o2bo58bo$28bo3b4o3b
o134bo3bo4bobo5bobo5bobo5bobo5bobo5bobo4bo3bo54b3o5b3o$2bo29b4o52bo17b
obo5bobo42bo14b2o2bo5bo7bo7bo7bo7bo7bo5bo2b2o55bo7bo$28b4o4b4o66bobo5b
obo57b2o2bo5b3o3b3o7b3o3b3o7b3o3b3o5bo2b2o$2bo81bobobo18bo7bo43bo14bo
2b2o5bo2bobo2bo7bo2bobo2bo7bo2bobo2bo5b2o2bo54bobo5bobo$30bo6bo68bo2bo
3bo2bo58bo6bobob2ob2obobo3bobob2ob2obobo3bobob2ob2obobo6bo54bo11bo$31b
2o2b2o70bob2ob2obo57bob2o55b2obo53bo3bobo3bo$104bo4bo3bo4bo172b3ob3o$
104b6o3b6o167b3o2bo5bo2b3o$104bo4bo3bo4bo56b3o53b3o52b2o3b3ob3o3b2o$
105b2obo5bob2o168b2ob2o7b2ob2o$109bo3bo60b2o57b2o52b3ob2o3b2ob3o$105bo
11bo56b2o57b2o53b2o9b2o$105bo3bo3bo3bo57b2o55b2o$106bo2bo3bo2bo57bo2b
2o51b2o2bo53b3obo3bob3o$106bo2bo3bo2bo58bobobo49bobobo57bobobobo$101b
3o3bobo3bobo3b3o52b3o2bo49bo2b3o49b3o15b3o$100bo2bo3b9o3bo2bo51b2o2b3o
47b3o2b2o49bo2b5ob3ob5o2bo$100bo2bo2b2ob5ob2o2bo2bo51b2o2b2o49b2o2b2o
49bob5o7b5obo$107b2o2bo2b2o57bo61bo$106b2o3bo3b2o55bo63bo$106b2o7b2o
55bo2bo57bo2bo53b9o$109b2ob2o58bo2bo57bo2bo52bobobobobobo$106bo3bobo3b
o56b3o57b3o53bo9bo$17bo12bo7bo12bo54bo3bobo3bo57bobo55bobo53bob2o5b2ob
o$17bo12bo7bo12bo54b2o2bobo2b2o57b2obo53bob2o53b2obobobobob2o38bo15bo$
16bobo10bobo5bobo10bobo55b3ob3o58bobo57bobo54b2obobob2o39bobo13bobo$
17bo12bo7bo12bo52b2ob2o5b2ob2o52bobob2o55b2obobo49b2obobo3bobob2o35bo
3bo2b3ob3o2bo3bo$17bo12bo7bo12bo51bo2b2o7b2o2bo51bob2o59b2obo48bo3bo7b
o3bo30b2o3bobo2bo2bobo2bo2bobo3b2o$18bo3b4o3bo9bo3b4o3bo51bo17bo50b2o
63b2o47bo4bo7bo4bo28bo2b2o2bo2bo9bo2bo2b2o2bo$22b4o8bo8b4o56bob3o7b3ob
o165bo5bo5bo5bo29bo3bo4bobo5bobo4bo3bo$18b4o4b4o2b5o2b4o4b4o55bo2bo3bo
2bo169bo15bo30b2o2bo5bo7bo5bo2b2o$31bobobobo69b3o3b3o171bo4b2ob2o4bo
31b2o2bo5b3o3b3o5bo2b2o$obobo15bo6bo13bo6bo55b2o4bobo4b2o169b4obobob4o
32bo2b2o5bo2bobo2bo5b2o2bo$21b2o2b2o6bobo6b2o2b2o61bo3bo173bo2bo7bo2bo
32bo6bobob2ob2obobo6bo$4bo25bo2bobo2bo66bo4bobo4bo174b2ob2o35bob2o23b
2obo$30bo2bobo2bo63bo6b2ob2o6bo166b2o2bo5bo2b2o$obobo25bobo3bobo62b2o
2b3obo3bob3o2b2o162b2o6b2ob2o6b2o$100bo5b4o3b4o5bo160bo2bo4bo5bo4bo2bo
28b3o21b3o$o100bo3b2o2bo3bo2b2o3bo161bo4bo3b2ob2o3bo4bo$30b2o5b2o63b3o
2bobo3bobo2b3o168bobobobobobo36b2o19b2o$obobo25b2o5b2o245bo4b3obobob3o
4bo31b2o19b2o$107b3o3b3o169b2o5bo3bo5b2o31b2o21b2o$32b2ob2o69b2o7b2o
172b3o5b3o33b2o2bo19bo2b2o$31bobobobo67b2o9b2o170bobo7bobo31bobobo21bo
bobo25bo12bo7bo12bo$31bobobobo67bobo7bobo169b2o11b2o30bo2b3o19b3o2bo
24b3o10b3o5b3o10b3o$33bobo70bo9bo171bob2o5b2obo30b3o2b2o19b2o2b3o22b5o
8b5o3b5o8b5o$31b2o3b2o69bobo3bobo172bo2bo5bo2bo31b2o2b2o19b2o2b2o23b5o
8b5o3b5o8b5o$107bobo3bobo172bo11bo37bo17bo30bo6b2o6bo5bo6b2o6bo$106bo
9bo171bo2bo5bo2bo38bo15bo32b3o3b2o3b3o7b3o3b2o3b3o$106bo9bo174bo5bo38b
o2bo15bo2bo32bobo2bobo6bo6bobo2bobo$106bo3bobo3bo171bo2bo5bo2bo35bo2bo
15bo2bo34bo2bo6b2ob2o6bo2bo$107bo2bobo2bo220b3o17b3o32bo6bo4b2ob2o4bo
6bo$107bo2bobo2bo173b3o5b3o35bobo19bobo32b6o15b6o$290b2obobob2o35bob2o
19b2obo31bo4bo4bobobobo4bo4bo$108b3ob3o221bobo17bobo43bo5bo68b3o10b3o$
108bobobobo145bobobo25b2o5b2o36b2obobo13bobob2o41bo2bobo2bo42bobobo20b
obo10bobo$109b5o177bobobobo39b2obo13bob2o43b3o3b3o67b3o10b3o$103b3o11b
3o140bo26bo4b2ob2o4bo30bo6b2o13b2o41bo4bo5bo4bo38bo20bo4b2o4b2o4b2o$
103b3o11b3o165b2obo3b2ob2o3bob2o26b2obo27b3o31b2obo13bob2o55b2obo8bo2b
o$101bo3bo11bo3bo138bobobo20b2o2bo4bo4bo2b2o26b2o2bo26b3o31b2o2bo11bo
2b2o36bobobo14b2o2bo3bobo6bobo$105bo11bo169bo2bo7bo2bo30bo2bo25bo3bo
31bo2bo9bo2bo59bo2bo3b10o$106bo9bo147bo22bo2bo7bo2bo30bo2bo25bo35bo2bo
9bo2bo38bo3bo16bo2bo5bo4bo$101bo3bo3bobobo3bo3bo166b2o9b2o32b2o25bo37b
2o11b2o61b2o6bo4bo$102b2o4bo5bo4b2o139bobobo20bob2o11b2obo26bob2o27bo
3bo29bob2o13b2obo36bobobo14bob2o7bo4bo$103bo15bo164bo2bo13bo2bo24bo2bo
30b2o29bo2bo15bo2bo53bo2bo$104b3o9b3o166bo3bo9bo3bo26bo3bo28bo31bo3bo
11bo3bo55bo3bo$105bo5bo5bo242b3o$110b3o174bobo9bobo30bobo26bo35bobo11b
obo59bobo$109b2ob2o174bo11bo32bo64bo13bo61bo$109b5o$106b3o2bo2b3o169bo
11bo32bo31bo32bo17bo57bo$104bo13bo166b3o9b3o30b3o28bobo31b3o15b3o55b3o
$104bobo9bobo166b2o2bo7b2o2bo28b2o2bo28bo31b2o2bo11bo2b2o55b2o2bo$106b
o9bo169b2ob2o7b2ob2o28b2ob2o24b3o33b2ob2o9b2ob2o57b2ob2o$103bobo11bobo
167bo2bo8bo2bo29bo2bo23bo37bo2bo9bo2bo59bo2bo$102bo2bo11bo2bo168b2o10b
2o31b2o24b2o37b2o9b2o63b2o$103b2o13b2o167bob2o8bob2o29bob2o61bob2o9b2o
bo59bob2o$286bobobo7bobobo28bobobo22bo2b2obo31bobobo9bobobo57bobobo$
285b2o10b2o31b2o26bobo3bo30b2o17b2o55b2o$286bo11bo32bo33bo30bo17bo57bo
$284b3o9b3o30b3o62b3o17b3o53b3o$283bobo2bo6bobo2bo27bobo2bo29bob3o25bo
bo2bo13bo2bobo51bobo2bo$289bo11bo32bo25b2obo35bo11bo63bo$287bobo9bobo
30bobo25b2o35bobo11bobo59bobo$285b4o8b4o29b4o61b4o13b4o55b4o$283b3o9b
3o30b3o33b2o27b3o19b3o51b3o$282bo11bo32bo35b2obo25bo25bo49bo$281bo2bo
2bo5bo2bo2bo26bo2bo2bo28b3o2b2o23bo2bo2bo15bo2bo2bo47bo2bo2bo$288bo11b
o32bo27b3o34bo13bo61bo$283b2o2bo7b2o2bo28b2o2bo34bo25b2o2bo15bo2b2o51b
2o2bo$365b2o35$28bo12bo67bo12bo37bo12bo7bo12bo15bo12bo31bo12bo31bobobo
22bo48bo3bobobo18bo36bo3bo20bo$28bo12bo67bo12bo37bo12bo7bo12bo15bo12bo
31bo12bo57b3o74bo61bo$27bobo10bobo65bobo10bobo35bobo10bobo5bobo10bobo
13bobo10bobo29bobo10bobo30bo3bo21b3o47bo3bo3bo17bobo35bo3bo19bobo$28bo
12bo67bo12bo37bo12bo7bo12bo15bo12bo31bo12bo134bo61bo$28bo12bo62bo4bo
12bo4bo32bo12bo7bo12bo15bo12bo4bo21bo4bo12bo31bobobo71bo3bo3bo18bo36bo
3bo20bo$obobo24bo3b4o3bo39bobobo18bobo4bo3b4o3bo4bobo32bo3b4o3bo9bo3b
4o3bo17bo3b4o3bo4bobo19bobo4bo3b4o3bo56b2o3b2o66b4o5b4o49b4o5b4o$33b4o
65b2o2bo7b4o7bo2b2o35b4o8bo8b4o25b4o7bo2b2o17b2o2bo7b4o40bo19b2obob2o
45bo3bo3bo11bo3bo5bo3bo29bo3bo13bo3bo5bo3bo$4bo24b4o4b4o39bo3bo20b2o3b
4o4b4o3b2o34b4o4b4o2b5o2b4o4b4o17b4o4b4o3b2o23b2o3b4o4b4o127bo5bo3bo5b
o45bo5bo3bo5bo$105b2o18b2o47bobobobo45b2o23b2o47bobobo15b2o2bo5bo2b2o
41bo3bobobo55bo3bo$4bo26bo6bo41bobobo20b2o5bo6bo5b2o36bo6bo13bo6bo21bo
6bo5b2o23b2o5bo6bo54b2obo7bob2o64b2o5b2o53b2o5b2o$32b2o2b2o64bo10b2o2b
2o10bo34b2o2b2o6bobo6b2o2b2o23b2o2b2o10bo17bo10b2o2b2o57bob2obob2obo
63bo2bo7bo2bo47bo2bo7bo2bo$4bo75bo3bo17b3o22b3o43bo2bobo2bo46b3o17b3o
145bobo9bobo47bobo9bobo$28bo12bo60b2obo20bob2o43bo2bobo2bo45bob2o17b2o
bo74bobo67b2o11b2o47b2o11b2o$4bo22bob2o8b2obo37bobobo19b3o18b3o45bobo
3bobo44b3o21b3o72bo3bo66b2o11b2o47b2o11b2o$26b2ob2o8b2ob2o60b3o18b3o
98b3o21b3o71b2obob2o62b2o17b2o41b2o17b2o$26b2ob2o8b2ob2o278bo2bo3bo2bo
59b3o17b3o39b3o17b3o$29b3o6b3o132b2o5b2o136bo3bo2b2ob2o2bo3bo55bo2bo
15bo2bo39bo2bo15bo2bo$29b2o8b2o63bo22bo45b2o5b2o46bo21bo66b3o3bob2ob2o
bo3b3o54b2ob2o13b2ob2o39b2ob2o13b2ob2o$29b2o8b2o61b2o24b2o39b2o13b2o
43b2o17b2o67b3o3bobo3bobo3b3o57bo15bo45bo15bo$103bo2bo18bo2bo38bo3b2o
9b2o3bo38bo2bo19bo2bo69b2obo3bob2o$30bo8bo64b3o18b3o39bo4bo9bo4bo38b3o
21b3o69b2ob2ob2ob2o$30b3o4b3o64bo2bo16bo2bo38bo21bo36bo2bo21bo2bo66b3o
4bo4b3o58b3o15b3o41b3o15b3o$29bo4b2o4bo65bo18bo40b2obo2bo9bo2bob2o37bo
25bo64b4o6bo6b4o55bobo15bobo41bobo15bobo$30b2o6b2o64bobo18bobo39b2o3bo
9bo3b2o38bobo21bobo65b2o4bo5bo4b2o56bo2bo13bo2bo41bo2bo14bo2bo$103bobo
bo16bobobo96bobobo19bobobo70b3ob3o62b2ob2o11b2ob2o41b2ob2o13b2ob2o$30b
2o6b2o61b3obobo16bobob3o36b2ob2o11b2ob2o37bobob3o15b3obobo70b2o3b2o63b
obo13bobo43bobo3b2o10bobo$32b6o132bo13bo138b2o5b2o63bo15bo45bo2b2o2bo
10bo$28b2o2b6o2b2o59b2o26b2o36bobo15bobo42b2o15b2o72bobo7bobo125bo3bo$
27bo2b2o6b2o2bo57bobobo22bobobo35b3o15b3o40bobobo13bobobo69b2obo7bob2o
62b3o7b3o49bo2b2o13b3o$28b2o10b2o58bobo2b2o18b2o2bobo36b2o15b2o39b2o2b
obo13bobo2b2o146bo7bo51bo2b2o15bo$26bo2bo10bo2bo60b3o18b3o40bo17bo39b
3o21b3o66b2o13b2o59b4o9b4o47b2o2bo11b4o$25b3ob2o2bo2bo2b2ob3o121b3o17b
3o130b2ob2o7b2ob2o59bo15bo50bo12bo$25bobobo3bo2bo3bobobo56b3o24b3o34b
2o21b2o39b3o15b3o71b4o5b4o68b3o56b2obo$28b3o2bo2bo2b3o57b2o30b2o32b2o
2bo15bo2b2o42b2o11b2o71b2o4bo5bo4b2o63bo5bo74bo$26b3o4bo2bo4b3o55b3o3b
o20bo3b3o31bo2bobo15bobo2bo36bo3b3o11b3o3bo66bo2b3o7b3o2bo62bo7bo72b4o
$26bo6b4o6bo55b2o2bobo20bobo2b2o31bo25bo36bobo2b2o11b2o2bobo68b3o9b3o
61b2obo3bo3bob2o49b3o17bo3b2o$28b14o58bo3bo3b2o12b2o3bo3bo32b2o4bo13bo
4b2o32b2o3bo3bo13bo3bo3b2o63bo15bo60bo4bo3bo4bo70b3obo$28bo2b2o4b2o2bo
58bo5b2o2bo10bo2b2o5bo34b4o15b4o33bo2b2o5bo13bo5b2o2bo62bobo11bobo61bo
5bo5bo52b2o19bo$105bo3bo12bo3bo96bo3bo23bo3bo63b2ob2o7b2ob2o61bo11bo
52b2o18b2o$105bo2b2o12b2o2bo38bo23bo33b2o2bo23bo2b2o67bo3bo3bo66b3obob
ob3o52b2o18b3o$26b3obo8bob3o61bo2b2o12b2o2bo38bo23bo33b2o2bo23bo2b2o
62bo4bob2ob2obo4bo64b2ob2o53b2o2bo$27b2o2bo6bo2b2o62b2o2bo12bo2b2o40b
3o15b3o35bo2b2o23b2o2bo61bo5bo7bo5bo59b2o9b2o48bobobo21bo$32bo4bo70bo
14bo44b2o15b2o37bo29bo62bo8bobo8bo120bo2b3o20bo$32b2o2b2o69b2obo10bob
2o97bob2o27b2obo60bobo15bobo119b3o2b2o20b2o$101bo28bo15bo84bo15bo77bo
3bo128b2o2b2o20bo$31bo6bo62bo28bo15bo84bo15bo69bob2o2b2o5b2o2b2obo126b
o16b2o$30b2o6b2o60bobo3b3o14b3o3bobo4b2ob2o4bobo76b3o3bobo13bobo3b3o
62bo5bo7bo5bo127bo17b2o$29bo10bo55bo4bo28bo4bobobobo4bo4bo79bo15bo69bo
3bo11bo3bo124bo2bo17b4o$33b4o57b2obo3bo3b2o18b2o3bo3b2obobob2o3bo3bob
2o72b2o3bo15bo3b2o70b2o5b2o130bo2bo17bo3bo$94b2o2bo6b2o18b2o22bo2b2o
72b2o6b3o5b3o6b2o65bo17bo125b3o19b2obo$34b2o60bo2bo4bobo18bobo5b2obo3b
ob2o4bo2bo74bobo6bo7bo6bobo65bo2bo11bo2bo124bobo18b3o$32bo4bo58bo2bo7b
o16bo8b3o5b3o4bo2bo73bo27bo65bo15bo124bob2o18b2o2bo$30b2o6b2o57b2o6b4o
14b4o4b3o9b3o3b2o73b4o6bobo5bobo6b4o63bo2bo11bo2bo125bobo21bo$28bobo8b
obo52bob2o11bo12bo8b3o2b2ob2o2b3o4b2obo69bo9bo11bo9bo60bob4o11b4obo
122b2obobo19b3o$27bob3obo2bob3obo50bo2bo8b2ob2o12b2ob2o5b2o2b2ob2o2b2o
6bo2bo68b2ob2o6bo3bobo3bo6b2ob2o60b4o15b4o124b2obo19bo$26b2o14b2o50bo
3bo38bobo9bo3bo82b3ob3o69b2o27b2o122b2o15b2o$26b2obo10bob2o92b2ob2o90b
3o2bo5bo2b3o63bo2b2o23b2o3bo137bo2bo$27b3o10b3o53bobo50bobo79b2o3b3ob
3o3b2o64bo3bo22bo4bo$28bobobo4bobobo55bo52bo80b2ob2o7b2ob2o64b2o2bo28b
o$29b2o2bo2bo2b2o191b3ob2o3b2ob3o65b2o2bo22bo2bob2o$95bo56bo80b2o9b2o
66bo2b2o22bo3b2o$27b2obo8bob2o51b3o54b3o159bo$29b3o6b3o53b2o2bo50bo2b
2o79b3obo3bob3o65bob2o25b2ob2o$95b2ob2o48b2ob2o83bobobobo98bo$96bo2bo
48bo2bo77b3o15b3o92bobo$28bo12bo56b2o48b2o79bo2b5ob3ob5o2bo63b3o26b3o$
26b2ob2o8b2ob2o52bob2o48b2obo77bob5o7b5obo92b2o$26bo2b2o8b2o2bo51bobob
o48bobobo162b2o26bo$25bo3bo10bo3bo49b2o56b2o161b2o26b3o$24bo5bo8bo5bo
49bo56bo82b9o70b2o29b2o$24bo5bo8bo5bo47b3o56b3o79bobobobobobo67b2o2bo
25bo2b2o$25bo18bo47bobo2bo52bo2bobo78bo9bo66bobobo26bobo2bo$26bo3bo8bo
3bo54bo50bo83bob2o5b2obo65bo2b3o30bo$27bobo10bobo53bobo50bobo81b2obobo
bobob2o64b3o2b2o24bo4b2o$28b2o10b2o52b4o52b4o81b2obobob2o67b2o2b2o25b
4o$27b2obo8bob2o49b3o58b3o76b2obobo3bobob2o70bo$91bo64bo74bo3bo7bo3bo
70bo27bo$90bo2bo57bo2bo2bo72bo4bo7bo4bo66bo2bo27bo$100bo47bo81bo5bo5bo
5bo66bo2bo23b3o$92b2o6b3o43b2o3bo2b2o75bo15bo67b3o24b2o$99bo3bo40bobo
85bo4b2ob2o4bo67bobo$100b3ob2o37bob3obo83b4obobob4o67bob2o$102bo39b2o
88bo2bo7bo2bo68bobo$102bo39b2obo91b2ob2o72b2obobo$101bo3bo37b3o86b2o2b
o5bo2b2o69b2obo$100b2o2bo39bobobo80b2o6b2ob2o6b2o68b2o$100b3o42b2o2bo
78bo2bo4bo5bo4bo2bo$101bobo124bo4bo3b2ob2o3bo4bo$100b2obo39b2obo87bobo
bobobobo$100b4o41b3o81bo4b3obobob3o4bo$101bo128b2o5bo3bo5b2o$234b3o5b
3o$102b3o39bo88bobo7bobo$101bo2b2o36b2ob2o85b2o11b2o$104b3o35bo2b2o86b
ob2o5b2obo$102bo3bo34bo3bo87bo2bo5bo2bo$101b2o3b2o32bo5bo86bo11bo$106b
2o32bo5bo86bo2bo5bo2bo$106bo34bo94bo5bo$105bo36bo3bo86bo2bo5bo2bo$101b
2obo38bobo$101bo42b2o88b3o5b3o$103b2o38b2obo88b2obobob2o2$235b2o5b2o$
236bobobobo$232bo4b2ob2o4bo$230b2obo3b2ob2o3bob2o$230b2o2bo4bo4bo2b2o$
232bo2bo7bo2bo$232bo2bo7bo2bo$233b2o9b2o$230bob2o11b2obo$229bo2bo13bo
2bo$230bo3bo9bo3bo$239bo$232bobo3b3o3bobo$233bo4b3o4bo2$235bo7bo$234b
3o5b3o$235b2o5b2o$233bo11bo$232bobo9bobo$231b2obo9bob2o$234bo9bo$231b
2o13b2o!
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dbell
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Re: Spaceship Discussion Thread

Post by dbell » March 7th, 2024, 5:26 am

Here is a diagonal c/4 demo construction using loaf-loaf animation reactions showing that many gliders can easily be synchronized to create an object.

The six backward glider producing convoys at the top are supplied with input gliders using five glider duplicator convoys. These connections were made simply and with no thought of what the final result is used for since I knew all displacements and timings could be fixed up by adjusting the following spaceships.

It's a coincidence that this construction needed no extra glider turning convoy to change the displacement for any of the animation convoys.

I picked the six glider synthesis of an octagon 2 because it needs no forward or backward gliders, thereby making the construction easier.

Code: Select all

#C A diagonal c/4 period 288 convoy creating octagon 2 oscillators.
#C This uses a period 288 rake whose gliders are duplicated by five
#C glider duplication convoys, then six other convoys create pairs of
#C backward gliders.  The backward gliders are turned into symmetrical
#C loaf pairs which are later converted into sideways gliders by
#C animation convoys such that they create octagon 2 oscillators.
#C David I. Bell, 7 March 2024
x = 3770, y = 1646
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
13bo5bo20boo5bobbo3bobbo6boo$19boobobbo9boob3o20bo3bo3b3o3bobboboo$15b
3o43bobobo7bo$14bobooboo3bo18bo$13bo3b5oboo19bo$13bo8boobo16b3o28boo$
13b6o4bobbo45boo$14booboo7bo20bo26bo$15bo10bo21bo27boo$14boo10bo19b3o
26bo5bo190bo$15bobbo6bo53boobo188boo$15bo10bo24bo28bo3bo100boo84bob3o$
15bobbo33bo23boobb3o102bobbo86bo$16bo4booboo24b3o23boobo105bob3o80bo$
21bo3bo38bo13bo3bo106bo77b4obobobo$21boboo3bo26bo7boo11boo5boo97boboo
3bo77bo5bobbo$26bo29bo6bobo10b3o102b5obobo78bobb4o$28bo25b3o10bo7boboo
102bobbo82boobboo$25bo40bo3booboobobbo102bobbobbo72boo4boo$21bo3boboo
30bo6bo3boob3o107bobo75bobbobboo$20boo3bo34bo11boboo99boo3bobbo67bo3bo
4bobboobbobbo$20bobobboo31b3o7bobbo4bo97boobbobobbo66b5obbobo4bobbo$
25boo41b3o93booboo5bobb5o68bo6b3o3bo4boo$24boo37bo3bobbo93bob3obooboo
3bobbobo64bobobb4oboobbo13boo$25boo37bo3bobobo91bo9bobbo4bo64b3o3boo
17b3ob4o$24boo36b3o8bo87boobobboboobbo13boboo56bobbooboo15boo8bo$22boo
bbo28boo12bo3bo87bo3bo19b3obooboo34bo10b3o10bobboo13bobbo6bo$22b3o29b
oo11bo31boobo51bo6bob3o18boobbobboobo32boo10bo6bo4boo3bo14boo$22bobboo
29bo3bo7bo30bo3bo37boo10boo9bo3b3o13bo18bo17bo5bobo10bobb3oboo3bo4bo
10b4o4boo$58boo6b3o30bo4bo36bobo9bobobb4o3b3ob3o14bo15b6o12boo20bo4bo
7boobo8boobbo$20boo35bo4boo6boo29boo13booboo13boo5bo15b3oboobboobbobo
9b3o18bo7boo8bobo3boobobo11bobobbo6bo3bobb3ob3o$20booboo29boboobo4bo4b
obbo30bobo10bob3o13bobo3boobbo11bobbobo7b4o4bobbo4bo17bo6bobo11bo7boo
8b3o9boo6bo5bo$21bo31b6oboobbo4bobbo43bobboo3boo8bo11bo29boobbobbo21bo
bobbob5o6bo4bo5boo5boo12bo8bo3bo$22boo24bo4bobboo6bo5boo26bo6boo16boob
oboo7bo3boo3b3o6bobbo9b3o5boboobboo22bo6bo9bobbobb6o4boobb3o5boo4boo3b
oboo$47boo6boobboo3bo32b5o4bobbo10bo5boboo7boo4boo4bo4boo3bo8b3o7boo
34boo23bobb4o4boo9b3o24b3o$42b3obbobo10bobobobbobo21boo4bo6boo14bo5bo
3bo12b7o3boo4bo4b3o8booboo23bo13bo21b3obo3boboob9o5bo8bob3o8bo$42bo11b
oboo4bobobbobo21bobo11bo22bo15b4o4bo6boobbo4boo4b6o12bo9boo13bobo20bo
6bobo8bo8boo4b3o15bo$45bo4boobobobo5boo3bo8boo12bo5boboo6bobo20bobo20b
obobobbobbobb11o4bo7boobo9bobo28bo5boobobo4bo22boobb5o8bobbo$42bobbo4b
3o7boobo7bo4bobo13boo4bo4bobo26bo23boo5bo3b4obo8bo4boobo4bo24boboboob
3o4boo4bobboo3boo11boo9boob3o3bobbo5bo3bo$43bobbo5boo6b3o7bobo3boo14bo
bbo6b3o27bobo6bo5boo4boobo4bobo21bo5b4o9bobo17bo4boobbobo5b6obo5boo4bo
9boo3bobboo3bobboobboo$44bo15boo9bo20bo6booboo33b3ob3obboo5bo6b4o10boo
8bo3bo5bo7booboo14bo12b4obo5boboob3obbobbo3bo8bo4b4o4boobbo$46boboo3bo
3bo3boo31bobobobbo32bob4ob3o3bo4boboo3bo5bobboo3boo9bo3bo5bobbob6o26bo
5boobbobo5b3o4b3obbob3o10bobo4bobbobo$48bob4o4boo84bo3boobobboo3boboo
3boboobboob4o5boo3boo6b3obboo24bob4o5bobobo10b6o3b4o5boo8bo5bo$48boboo
bobo5boo33bo4bo42boob3obobo4bo3boobbobo11bo5bo3boboo3b3obboo19bo3boo7b
3o4bo3bobo4bobobobboboo3bobboobbo3b3o4boo$45b3ob4obo7bo10bo23b4o40b6o
3bobboobboo3boo4bo4boo5bo4b3o5b4o3bobo12boo5b3obbo9b3o9bo5b3obboo6boo
bbo10b3oboo$44bobo16bo8bobo61b3obb3oboo3bo3bobo5bo5bo6bobo3b3obo8b7o
13boo5b3o3bo5bobobboboobo11boobb3ob3o3bo8boobb6o$44bo3boo6booboobo9bob
o53b3o4bobboboo12bobo5bo5bo3bo6bobb5o5bobbo6bo13bo4bo11b4o21bo3bobb3ob
o8booboobobobobo$44bob3oboo3boo5b5o6bo16b3obb3o30bo6bobbo8bobobbobo14b
obboo3b3oboboo7b4o7bo14boo4bobo11bo20bo9boo7bobboo3bo3bo$47boob3obo8b
oobo22bo39bo4boobo9bob3obo18bobb3oboobbo7bo6bo4bo14boo5bobo6bobb3o25bo
bbobo6boob3o3boo$45b3o4bo36bo8bo32b4o4boo6bobboboo25bobobbo15bobbo15bo
5bobo7bobbobobo19b4o4boob4obobboo$45b3o16boo23boo7bo35bo3boobo9bo25bob
o8b3obobobbobboo19bobbo11bo5bo19bo3bo4bobbo5bo$50boo3bo4boobo15bo11b5o
bo34b3o3boo9boobobbo20b5obb8obo3bo19boobbobbo17boo20bobo5boo$44bobo3b
oo3bo3boobboobo11bobo13boo38bo3bo17boo18bo3bo7bo6bo19boobbobboobbo$43b
oobo5bo8boboo13bobo14bobo31b3obbooboo16boo28boo27bo3bo4bo3bo18bo$52bob
oboo9bo11bo17bo31booboobb3o75bobb3obboobo18bobo$39b3o4bo5b3o10bo28bo
33bobo9bo18bo55bo5bob3o3bo15boo$39bo5boobobboobo35boobbobo31boob3o5boo
19boo63bo$40bo4boobobbobobboo3bo3b4o25bo37bo4boboo18boo55boo8bo23bo$
42b4obo3boo7boo3b4o25boobo13bo18bo8boo75bobo7bo21bobo$43boo7bobbo4bobo
32bobo7b3obboo18boo7boo22bo28boo25bo7boo20boo30bo$52bo11boo30bo8bobobo
bbo17bobo7bo23boo26bobo21bobbo7boo51boo$49boo4bo8b3o18b3o3b3o11bo4bob
oo17b3o6bobo20boo27bo23bobo7boo26bo25bobo$48b3o3b3o24bo3bo3bobbo17bob
oo17b3o61bo26b3ob3o23bobo$46boo4bob3o7bo15boo3boobob4o37bo5bobo27bo27b
oo3bo21bo5bo24boo28boo$46boobbobobobo7bobo13bobo12bo9bo30booboobo25boo
25boobbobo21bobb3o54boobb3o$45bobobbobboo5bo26bo3boobbo40boboo3bo23boo
27boboobbo55bo28boobo$46boboo4bo4boo4b3o22bobbo47boo53boobob3o24bobo
25bobo26bo4bo$44boobboo4bo4bobo3bobo22bobbo12boo34boo27bo24bobo3boo23b
3o27boo25b3o4bo$44b5o3boboo8bo26boo48boo29boo22bo5bo19booboo3bo53bo5bo
$49bobbo9b3o26bo5bo42b3obo26boo9b3o17boo17boo5bo33bo8boo12bobobboo$47b
3obbobo8boo31bobo36b3obbo41bo12boo26bob3o32bobo7boo$44bo3boo4bo41bobo
36bo39bo7bo10boboo63boo9bo9b3o$45boo7bobo40bo22bo15bo3boo34boo7b3o5bo
4bo75boo6booboo$48boo3boo64boo19bo34boo9b6oboo3bo26b3o38bo7boobboobbob
3o9bo$42boo4boo3bobbo61bobbo18bo48bo4bo30bo38bobo10boobobboo10b5o$42bo
bobbobboob3o26b3o54boo38bo8bobo4boo27boboo37boo11bo4boo10bobboo$42bo3b
obbooboo28bo35bobo17bo41boo5b3o33boobo48boo3bo16boobo$45b5o3bo22b3o6bo
32boo10bo6booboo37boo5bo36b5o42bo4boo$46bo29bo6bobbo31boboo6bobbo55bob
o32bobbo42bobo4bo24bobo$53bo23bo6boboo31booboo3boobo5bo4bo41bo4b5o29b
3o44boo5booboo$32bo17bobbo25boo3boboo32b4oboo3bo5bo47boo3boobo31bo53bo
bo12b3o6b3o$31boo11b3obb3obbobo23bo3bobo34bobobboboo6boboo43boo38bo50b
o13bo4bobb3o4b3o$31bobo10booboo7bo27boboo22boo12bobbo8bobo49bo34bo48bo
bo12boo5boob5ob3o$45bobo3boo3bo17b3o3boo6bo21boo11b3o11boo49boo83boo
12bobo3b3o4booboo$34boo10bobobboo21bobboobbob3obo211bobo$34boo14bo3bo
20bobbobboobo102boo100b3o6bobbo$43b3o3bobo25boobooboobo201b3o7bo$25bo
6boo3bo5bo3bobbo32bobbo203bobob4obbo$24boo5bobbobobobboboo6b3o28boobbo
6boo55b3o33b3o33b3o67booboo10b3o$24bobo3boobo3bobb3o8bobbo37boo3bo15bo
38bo35bo35bo67b6o9bo$28bo9b3o11b3o39boboo13boo38bo35bo35bo76b3o6bo$27b
o12bo10bo3bo40b3o6boo3bobbobo184bo6bobo$27bobbo10bo12boo40bo8boobb3o3b
oo184bo4boob4o$41bo9bo4bo41b3o9bobboobo186b4ob5oboo$50b3obbobbo40boo8b
4o191boo7boobo$52bobo4boo38boo4booboo$47boobbobbobbobobo37boobb4obbo$
47bo6bobobboo38boo5b3o201bobbo$47bobo9bo39boo208b5obo$53bo6bo39boo207b
o6bo$52boo6bo40bo208boboo3bo$52bobobboo41bo217bo$56b4o35boo218bobo$56b
oboo35bobobbobo$48bo46bo3bobo214bobbo$47boo49boobbo213bobbo$47bobobb5o
42bobo169b3o43boboobo$51b6o36boo3boo171bo45boobbobo$50bo3boo36boobob3o
19boo8bo142bo45bo5bo$51bo42bobo22bobo8boo142boo42bo$113boo4bo155bo47bo
$91boo20bobo4bobo6boo190bo$83b3o5boo3bobo14bo6b3o7b3o139bo$83bo6bobo
23bo12bo3bo135b4obo44boo$84bo4boo25boobobbo6bo139bo4bo45boo33bo$86b4ob
o27b4o7b3o137bo4boo42bo23boo9boo$87boo22boo8bobbo147bobb3o64boo3bo6bob
o$111bobbo5bob3o151boo66boboo15b3o$111bo3b4ob3o150booboo14b3o51b3o5bob
o4booboo$113bo6bo153boboo14bo5boobo44bo6boobobobo$114b5o3b3o149bobo18b
3o3bo46b3obo6boboo$115boobobo154boo15bo3b3o3bo46boo7bo$119bo173bobo3bo
49boo5boo33boo$294boboo53b5o34boo$296bobb3o90bo$286b3o3boob3o5boo89boo
$286bobb4o3bobbo3boo88bo5bo$287boob3o104boobo$286b3o4b3obb4o96bo3bo$
279bo14bo3bobo93boobb3o$278b6o12bo3boo92boobo$278bo7boo12boo80bo13bo3b
o$279bo6bo8boo84boo11boo5boo$281bobobbo8boo5bo78bobo10b3o$282bo4bo5bob
oo4b3o81bo7boboo$287boo3b3o6bobo80bo3booboobobbo384boo$287boo3bobo8boo
79bo3boob3o387boo$302boo86boboo381boo5bo$298b3o85bobbo4bo379boo5boo$
298bobbo84b3o387bo4bobobboo$300bo84bobbo389boo3boob4o$299boo3boo80bobo
bo48boo337boo10bo$299boo3bobo84bo35b3o9bobo348bo$299b3obbo82bo3bo35bo
bb3o6bo9bo334bo$304bo123bobo16boobo333bo3bo$301boboob3o29boo93bo4boobb
o3boobbo332booboo$303boo5bo26boo92bo6boobboboobbo334bo3boboo$302b3o6bo
20boo4bobo92boboobo3b5o337boob4o$308bobo20boo5boobo100boo345boobbo$
304boboo25bo5bobo92bobb6o347boobo$335boobbobo93b7o349bo$335b4obbo95b3o
351boo$337boobboo448b3o$330boo6bo4bo447boobbo$329boo3b3oboo3bo451bobo$
331bob4obbobo450bo3bobo$339bo452b6o$333bo3bobbobo451b3o$333bo3bo4bo$
338bo3$817boobo7b3o$341b3o473bo3bo6bo$341bo475bo4bo7bo7boo$335b3o6bo
59booboo53boo355boo7bobo4boobo$335bo6bobbo58bob3o52b3o357bobo4b3obobb
oo$336bo6boboo57bobboobo49b4obo361bo3boobboo$338boo3boboo64boo45boo6b
oo355boob4oboo$339bo3bobo60bo3boo46boo5boo357b7o34boo$343boboo59b4o48b
obobboboo7boo389bobo$333b3o3boo6bo17booboo36bo51b5obbo7boobo388bo$333b
obboobbob3obo18bob3o35bobboo48boo3bobboo5bo394bo$334bobbobboobo21bobb
oobo33b3o50b3obo3bo4boobo393boo3bo$336boobooboobo26boo21b3o7bobobobo
47bo3boob4ob3obo392boobbobo$342bobbo21bo3boo22bo6b4o6boo51bob3o399bob
oobbo$341boobbo21b4o25bobb3obo59boo4bo3bo395boobob3o$367bo27b3obbobboo
bbo3booboo51bo7bo393bobo3boo$366bobboo24b3obbobo47boo22b3o392bo5bo$
366b3o31bobobo8bobbo32boo14bobo5bo381b3o17boo$356b3o7bobobobo24bobo13b
obbo26boo5bo14boo5boo4bo376bo12boo$356bo6b4o6boo23boo4bobbo6bobbobboo
20boo5boo14bobo3bo6boo376bo10boboo$357bobb3obo33bo6bobo9bobobbo21bo4bo
bobboo6boobobobbobobo3boo378b3o5bo4bo384boo$356b3obbobboobbo3booboo28b
o3boo4bo6bo23boo3boob4o3booboob3obbo386b6oboo3bo384bobo$356b3obbobo43b
o3bo3boo29boo10bo4boboobobbo390bo4bo381boo5bo$361bobobo8bobbo29bo5boo
5bo37bo10bobo389bobo4boo379bobo3boobbo$358bobo13bobbo31boo3bobbooboo3b
o26bo20bo386b3o386bo11bo$359boo4bobbo6bobbobboo28boo3bo3b4obo26bo3bo
15bobo384bo392bo3boo3b3o$359bo6bobo9bobobbo32bobbo6bo24booboo404bobo
51bo337boo4boo4bo$366bo3boo4bo6bo28bo5bob3o28bo3boboo402b5o36boo9boo
343b7o$368bo3bo3boo33bo3b3obobo30boob4o403boobo35boo3bo6bobo343b4o$
368bo5boo5bo29bo4booboo36boobbo441boboo15b3o$370boo3bobbooboo3bo25boo
3bobo38boobo350boo91b3o5bobo4booboo333b3obbo$372boo3bo3b4obo30bo41bo
352bobo90bo6boobobobo337booboo$377bobbo6bobboo32boo33boo345boo4bo94b3o
bo6boboo337boboboo$373bo5bob3o6bobb3o20boo6bobo32b3o344bobo4bobo92boo
7bo346bobbo$372bo3b3obobo7bob5obo19bo5bo34boobbo342bo6b3o92boo5boo348b
3o$372bo4booboo9bo6boo25boo36bobo343bo100b5o350bo$373boo3bobo10bo5b3o
25bobbo31bo3bobo342boobobbo$378bo12bobbobbo27bo34b6o346b4o449boo$394b
4o29bobo32b3o339boo8bobbo447boobobo$377boo5boobobbo7bobbo29bo372bobbo
5bob3o450bo3bo$379bo4boboobboobo3bobbobo26bobbo371bo3b4ob3o449boo5bo$
384boboo3bo5bobbobo26bobbo373bo6bo453b5o$385bo4bo5boo33b3o373b5o3b3o$
385boo3bo3bobo30b3ob3o51boobo7b3o309boobobo$376boobbo4boo6bob3o25b3ob
oobb3o51bo3bo6bo315bo$375boo4bobboo6b4o27bo7boo52bo4bo7bo7boo$377boobo
bb3o7boo3boo24bo6boo54boo7bobo4boobo$379boobbo9bobo31b5o57bobo4b3obobb
oo787bo10boo$386bo6bobobboobo27boo64bo3boobboo311boo473b5o6boo$383bobb
o3boo6boobo26boo6b6o49boob4oboo314boo474bobboo8bo7boo$384bo4boo9bo27b
oo6boob4o49b7o34boo275boo4bobo60bo413boobo5boo6b3obo$385bo5bo8bobo24bo
bo5bobboobo91bobo273boo5boobo58b6o51b4o363boo3boboo$396boobbobo23boo6b
oo3bo11bo81bo277bo5bobo58bo6bo48bo5bo355bobo6boo$396bo29bobo4b3o3bobo
8boo84bo276boobbobo59bo5bo47bo6bo360b3obo4bo$396bo28bo7b3obbobobobo5bo
bo83boo3bo271b4obbo63boobo45boobo3boo357b3o3bo4bo30bo$398b3o25boo14bob
o6bo84boobbobo272boobboo59boo49bobbobbo10boo349bo7bo31boo$398b6o31bob
3o3bo3b6o84boboobbo264boo6bo4bo18bo39bobo51boboobo8bobo348bo6bo32bobo$
398bo37b3ob3o5bo3bo84boobob3o262boo3b3oboo3bo17b6o86bobo3boobo7bobo$
398boo3bo32bo3boboobobob3o85bobo3boo264bob4obbobo19bo6bo32b4obo48b3o3b
oobo3bo355bo39boo$398boobbo39boo7boo84bo5bo273bo22bo5bo23boo7bo57boobb
o3b4obo391boobb3o$399b3obb3o35b3o6bobo69b3o17boo266bo3bobbobo23boobo
21boobo4boo5bobo46bo4bo3bobo5bo395boobo$401bo4bobo41bo72bo12boo273bo3b
o4bo20boo27bo3boobobbo4b3o46bobboo3bo3b3o395bo4bo$401b4obobo32boo6bobb
oo70bo10boboo277bo24bobo26bo3bobbo4bo3bobo454b3o4bo$401b4obobo32boo5bo
boo3bo70b3o5bo4bo330bo4bobo3bo6boo34boo14bobo5boo393bo5bo$404bo34boobo
bobboo5bo72b6oboo3bo300b4obo24bobbo13b3o34bobo12bo8boobo378boo12bobobb
oo$438boobo4bo3bo4bo74bo4bo295boo7bo32bo3bobo10bo26boo5bo14boo6bobbo
378boo$438bo3bobboo82bobo4boo292boobo4boo5bobo23boo7bo7b3o3bo22bobo3b
oobbo17boob5o378bo9b3o$439bo6bo81b3o300bo3boobobbo4b3o24bo5b3o7bobobob
oo20bo11bo6boobboo3booboobboo379boo6booboo385bo$527bo303bo3bobbo4bo3bo
bo30bobbo5b3oboboo23bo3boo3b3o4bobb3obbo388boobboobbob3o384boo$448b3o
77bobo45bo254bo4bobo3bo6boo30b3obo4bob3o25boo4boo4bo3bobo4b3o390boobo
bboo380bo5bobo$449boo78b5o30boo9boo254bobbo13b3o31boob3o4bobo31b7o10b
oo392bo4boo379boo$530boobo29boo3bo6bobo256bo3bobo10bo32booboo3boo33b4o
16bo386boo3bo383bobo3boobobo$565boboo15b3o245boo7bo7b3o3bo30boo4bobboo
b3o45bobo385boo391bo7boo$480boo85b3o5bobo4booboo247bo5b3o7boboboboo30b
4obobbo29b3obbo14bobo385bo391bo4bo5boo$480bobo84bo6boobobobo259bobbo5b
3oboboo28b3obobob3o3bo24booboo405booboo36boobo7b3o336bobbobb6o$474boo
4bo88b3obo6boboo49bo208b3obo4bob3o29bobboo3bo33boboboo404bobo36bo3bo6b
o$474bobo4bobo86boo7bo41boo9boo209boob3o4bobo30boo3bobo4bo33bobbo440bo
4bo7bo7boo$474bo6b3o86boo5boo41boo3bo6bobo210booboo3boo31boo3b3o39b3o
351bo90boo7bobo4boobo334boobboo$477bo94b5o45boboo15b3o203boo4bobboob3o
71bo352boo92bobo4b3obobboo336bob4o$477boobobbo140b3o5bobo4booboo205b4o
bobbo7bo25bo3bo3bo381bo4bobo97bo3boobboo336bo4bobo$480b4o140bo6boobobo
bo208b3obobob3o3bobboo25bo6boo33boo345boo100boob4oboo348bo$472boo8bobb
o140b3obo6boboo205bobboo3bo9bob5obo18bobo4bobo32boobobo341bobo5boboo
91b7o349b3o$472bobbo5bob3o141boo7bo210boo3bobo4bo7bo3b4o61bo3bo346boo$
472bo3b4ob3o143boo5boo211boo3b3o11bo3bo29b3o30boo5bo342boobboo450bo$
474bo6bo147b5o231b3o31b3o33b5o343boobboo$475b5o3b3o366bo3bo9bob4o29bob
o375bo4boo4boo447boobo$476boobobo158b4o21boo185bo6bo5boo3bobo30b3o372b
4obb4o4bo446boob4o$480bo158bo5bo19bobo184bobo3b5oboobob3obb3o26b3o372b
obb3o3b3o450bobb4o$638bo6bo12boo5bo192bo8b3o5boo29bo373bo9bo450boo$
637boobo3boo12bobo3boobbo197boobbo32bobbo374b5obbo$636bobbobbo10boo3bo
11bo187boboob5obboboo28bo3bo53bo10boo312bo4boo$484boo153boboobo8bobo5b
o3boo3b3o177booboo4bo5boobboo27booboo3bo52b5o6boo314boo$483boo151bobo
3boobo7bobo5boo4boo4bo176bob3o42boo7bo52bobboo8bo7boo$478boo4bobo60bo
90b3o3boobo3bo15b7o176bobboo3boo7boo3boo25boboobbo55boobo5boo6b3obo$
477boo5boobo58b6o45b4o41boobbo3b4obo12b4o185boo8boo4bo31bo64boo3boboo
798boo$479bo5bobo58bo6bo42bo5bo35bo4bo3bobo5bo198bo3boo9bo3b3o26bobo7b
obo49bobo6boo315boo473b3o9bobo$481boobbobo59bo5bo41bo6bo36bobboo3bo3b
3o13b3obbo181bo3b3o3boobbo4bobo27bo7bo57b3obo4bo311bobo472bobb3o6bo9bo
$481b4obbo63boobo39boobo3boo63booboo187bo5bo8bo28bo7boobboobo48b3o3bo
4bo30bo275boo4bo475bobo16boobo$483boobboo59boo43bobbobbo10boo33bobo5b
oo13boboboo185boo3bobo9bo24bobo5bobboobobbo48bo7bo31boo275bobo4bobo58b
3o416bo4boobbo3boobbo$476boo6bo4bo18bo39bobo45boboobo8bobo31bo8boobo
16bobbo194bobb3o24bobo4bobbo3bo51bo6bo32bobo274bo6b3o58bobb4o49b6o355b
o6boobboboobbo$475boo3b3oboo3bo17b6o80bobo3boobo7bobo31boo6bobbo18b3o
193b5o25bo7bo4bo10b3o360bo65b7o48boob4o356boboobo3b5o$477bob4obbobo19b
o6bo32b4obo42b3o3boobo3bo41boob5o16bo195bobbo26boo6bo3b3obobo5bo45bo
39boo275boobobbo60bo6bo45bobboobo366boo$485bo22bo5bo23boo7bo51boobbo3b
4obo5bo22boobboo3booboobboo213boo26boo6bo5bob3o7bo83boobb3o273b4o60boo
5bo44boo3bo11bo348bobb6o32b3o$479bo3bobbobo23boobo21boobo4boo5bobo40bo
4bo3bobo5bo4boo22bobb3obbo24boo197bobboo33bobobo5boobbo88boobo264boo8b
obbo61bo47b3o3bobo8boo349b7o33bo$479bo3bo4bo20boo27bo3boobobbo4b3o40bo
bboo3bo3b3o6bobo21bobo4b3o23boobobo190bo4boo32b3obboo4boboboo86bo4bo
264bobbo5bob3o17b3o37bo3bo47b3obbobobobo5bobo350b3o36bo$484bo24bobo26b
o3bobbo4bo3bobo91boo27bo3bo189boboboo39bo7boo85b3o4bo263bo3b4ob3o19bo
bb4o36b3o55bobo6bo392boo$538bo4bobo3bo6boo44bobo5boo7b3o30bo21boo5bo
191boobobbo35boboobo90bo5bo266bo6bo22b7o23boo7boobobo48bob3o3bo3b6o
392bo3boo$508b4obo24bobbo13b3o43bo8boobo4b3o30bobo22b5o193bo4bo46boo
70boo12bobobboo266b5o3b3o19bo6bo21bobo3bobo3b3obo47b3ob3o5bo3bo395boo$
499boo7bo32bo3bobo10bo42boo6bobbo7bobo28bobo225bo37bo7b3o69boo287boobo
bo23boo5bo21bob3o3bob3o3b3o45bo3boboobobob3o399boo$498boobo4boo5bobo
23boo7bo7b3o3bo44boob5o7b3o249bobo4b3o32bo6boobo72bo9b3o278bo27bo26boo
bo5boo58boo7boo392b6o$499bo3boobobbo4b3o24bo5b3o7boboboboo33boobboo3b
ooboobboo6b3o251boobo35boobo4boo4boo70boo6booboo300bo3bo26boo4b4o6bobb
o34bo14b3o6bobo391bobboobo$499bo3bobbo4bo3bobo30bobbo5b3oboboo33bobb3o
bbo18bo253bo36bobo3bo5bo72boobboobbob3o303b3o25boobb3obo8boo34boo22bo
381boo13bo4bo$499bo4bobo3bo6boo30b3obo4bob3o35bobo4b3o14bobbo286b3obob
obooboo4boo73boobobboo293boo7boobobo25boo4b3o7bo30bo5bobo12boo6bobboo
378bobo10bo6bo$499bobbo13b3o31boob3o4bobo42boo14bo3bo87boo197bo7booboo
80bo4boo293bobo3bobo3b3obo24bo16boobbo23boo20boo5boboo3bo376bo11bo$
502bo3bobo10bo32booboo3boo47bo7booboo3bo75b3o9bobo197booboo4boo78boo3b
o297bob3o3bob3o3b3o29boo8bo3boboo20bobo3boobobo8boobobobboo5bo380bo7b
oo3bo$500boo7bo7b3o3bo30boo4bobboob3o39bobo5boo7bo75bobb3o6bo9bo197bob
o78boo302boobo5boo30boo5bobobo5boobobo25bo7boo5boobo4bo3bo4bo379boobb
oobobb3o384b3o$502bo5b3o7boboboboo30b4obobbo43bobo7boboobbo77bobo16boo
bo198boo77bo303boo4b4o6bobbo28bobbo6bobo27bo4bo5boo3bo3bobboo392bo5bo
386bo$509bobbo5b3oboboo28b3obobob3o3bo55bo82bo4boobbo3boobbo199bo78boo
boo30boobo7b3o254boobb3obo8boo32boboo5bobbo24bobbobb6o5bo6bo392bobo3bo
379b3o6bo$510b3obo4bob3o29bobboo3bo59bobo7bobo71bo6boobboboobbo282bobo
30bo3bo6bo256boo4b3o7bo33bobboboo3boobo439boboo3bo380bo6bobo$511boob3o
4bobo30boo3bobo4bo55bo7bo76boboobo3b5o317bo4bo7bo7boo246bo16boobbo32bo
6b3oboo46b3o385booboo385bo4boob4o$513booboo3boo31boo3b3o59bo7boobboobo
79boo237bo84boo7bobo4boobo254boo8bo3boboo30b3obbo5boo25boobboo15boo
385bobbo388b4ob5oboo$515boo4bobboob3o90bobo5bobboobobbo70bobb6o237boo
86bobo4b3obobboo250boo5bobobo5boobobo28b3obbobobobob3o25bob4o404bobo
38bo10boo337boo7boobo$517b4obobbo7bo25bo3bo56bobo4bobbo3bo74b7o233bo4b
obo91bo3boobboo257bobbo6bobo37bobobb3o27bo4bobo402bobboo35b5o6boo$515b
3obobob3o3bobboo25bo59bo7bo4bo10b3o65b3o234boo94boob4oboo41boobo7b3o
209boboo5bobbo29boob3o4boo36bo441bobboo8bo7boo$514bobboo3bo9bob5obo18b
obo57boo6bo3b3obobo5bo304bobo5boboo85b7o43bo3bo6bo210bobboboo3boobo29b
o4bob3o37b3o442boobo5boo6b3obo333bobbo$515boo3bobo4bo7bo3b4o76boo6bo5b
ob3o7bo95boo212boo138bo4bo7bo7boo204bo6b3oboo33boo390b3o98boo3boboo
336b5obo$515boo3b3o11bo3bo91bobobo5boobbo95boo209boobboo140boo7bobo4b
oobo206b3obbo5boo29boboo38bo352bo94bobo6boo340bo6bo$533b3o92b3obboo4bo
boboo89boo5bo209boobboo142bobo4b3obobboo205b3obbobobobob3obb3o24b3o4b
3o379b3o6bo96b3obo4bo337boboo3bo$520bo3bo9bob4o95bo7boo88boo5boo205bo
4boo4boo145bo3boobboo211bobobb3o4bo5boobo18boo4bo34boobo343bo6bobbo92b
3o3bo4bo346bo$520bo6bo5boo3bobo93boboobo95bo4bobobboo199b4obb4o4bo140b
oob4oboo210boob3o4boo8b3o3bo27bo31boob4o341bo6boboo92bo7bo345bobo$520b
obo3b5oboobob3obb3o100boo90boo3boob4o197bobb3o3b3o144b7o212bo4bob3o7bo
3b3o3bo23bobbo32bobb4o342boo3boboo92bo6bo$526bo8b3o5boo91bo7b3o90boo
10bo198bo9bo370boo8bobo3bo27bobbo32boo347bo3bobo448bobbo$534boobbo96bo
6boobo103bo199b5obbo369boboo10boboo30bo387boboo95bo351bobbo$526boboob
5obboboo92boobo4boo4boo93bo209bo4boo180bo185b3o13bobb3o28bobo373b3o3b
oo6bo447boboobo$518booboo4bo5boobboo96bobo3bo5bo97boo207boo157b6o20boo
186boo3b3o3boob3o5boo27boo372bobboobbob3obo448boobbobo$518bob3o108b3ob
obobooboo4boo463boob4o13bo5bobo190bobb4o3bobbo3boo28bo373bobbobboobo
452bo5bo$518bobboo3boo7boo3boo89bo7booboo468bobboobo13boo199boob3o39b
oo375boobooboobo450bo$525boo8boo4bo90booboo4boo468boo3bo11bo3bobo3boob
obo188b3o4b3obb4o29b3o65boo314bobbo455bo$522bo3boo9bo3b3o96bobo315boo
150b3o3bobo8boo7bo7boo179bo14bo3bobo25boobooboo53b3o9bobo312boobbo453b
o$522bo3b3o3boobbo4bobo98boo314bobo149b3obbobobobo5bobo5bo4bo5boo176b
6o12bo3boo24bo3boboo53bobb3o6bo9bo$526bo5bo8bo101bo308boo4bo160bobo6bo
6bobbobb6o177bo7boo12boo24bob3obbo54bobo16boobo$527boo3bobo9bo407bobo
4bobo58b3o89bob3o3bo3b6o195bo6bo8boo34boo60bo4boobbo3boobbo795bo$539bo
bb3o407bo6b3o58bobb4o43b6o37b3ob3o5bo3bo197bobobbo8boo5bo27b3o8boo48bo
6boobboboobbo310bo474boo9boo$538b5o412bo65b7o42boob4o36bo3boboobobob3o
12boobboo181bo4bo5boboo4b3o36b3o50boboobo3b5o311boo473boo3bo6bobo$538b
obbo413boobobbo60bo6bo39bobboobo43boo7boo11bob4o186boo3b3o6bobo35b4obo
57boo309bo4bobo474boboo15b3o$540boo416b4o60boo5bo38boo3bo11bo33b3o6bob
o10bo4bobo184boo3bobo8boo24b3o5boo6boo47bobb6o32b3o274boo67boobbo52bob
o356b3o5bobo4booboo$541bobboo225boo177boo8bobbo61bo41b3o3bobo8boo41bo
21bo198boo25b3o5boo5boo49b7o33bo276bobo5boboo56boo55bo359bo6boobobobo$
538bo4boo149boo75bobo176bobbo5bob3o17b3o37bo3bo41b3obbobobobo5bobo31b
oo6bobboo17b3o193b3o36bobobboboo7boo42b3o36bo282boo61booboobo47boobboo
bo355b3obo6boboo$539boboboo148boo3bo65boo5bo178bo3b4ob3o19bobb4o36b3o
49bobo6bo32boo5boboo3bo211bobbo26boo7b5obbo7boobo82boo275boobboo63bobo
bbo45bobboobobbo355boo7bo$541boobobbo147boboo65bobo3boobbo177bo6bo22b
7o23boo7boobobo42bob3o3bo3b6o29boobobobboo5bo16bo197bo27bo8boo3bobboo
5bo86bo3boo270boobboo62bob5o44bobbo3bo358boo5boo33boo$542bo4bo149b3o
64bo11bo176b5o3b3o19bo6bo21bobo3bobo3b3obo41b3ob3o5bo3bo4b3o21boobo4bo
3bo4bo212boo3boo31b3obo3bo4boobo88boo267bo4boo4boo58boob3o46bo4bo10b3o
349b5o34boo$547bo149bo69bo3boo3b3o175boobobo23boo5bo21bob3o3bob3o3b3o
39bo3boboobobob3o5bo23bo3bobboo24boobo193boo3bobo31bo3boob4ob3obo90boo
263b4obb4o4bo17boobbo35boo50bo3b3obobo5bo392bo$542bobo4b3o147b3o65boo
4boo4bo178bo27bo26boobo5boo52boo7boo7bo21bo6bo24boob4o190b3obbo39bob3o
90b6o265bobb3o3b3o19boo39bobbo48bo5bob3o7bo392boo$544boobo144boobo4boo
71b7o202bo3bo26boo4b4o6bobbo43b3o6bobo3bobbo54bobb4o194bo37boo4bo3bo
86bobboobo266bo9bo20booboobo23bo7booboboo49bobobo5boobbo392bo5bo$547bo
144boboo3bobo72b4o207b3o25boobb3obo8boo52bo7bobbo29b3o22boo195boboob3o
37bo7bo71boo13bo4bo266b5obbo24bobobbo21boo6bo3boo3bo45b3obboo4boboboo
396boobo$686boo4boboo3b3o271boo7boobobo25boo4b3o7bo45boo6bobboo5bo32b
oo221boo5bo42b3o70bobo10bo6bo270bo4boo20bob5o21bobobb4oboo5bo52bo7boo
397bo3bo$685boo6bo5b3o71b3obbo194bobo3bobo3b3obo24bo16boobbo39boo5bob
oo3bo5bobo250b3o6bo32bobo5bo73bo11bo279boo23boob3o25bob3o3bo5bobbo49bo
boobo398boobb3o$686bobo4boo4bobo70booboo196bob3o3bob3o3b3o29boo8bo3bob
oo34boobobobboo5bo8boo255bobo33boo5boo4bo71bo7boo3bo300boo30bo4boo70b
oo391boobo$686b3o4boobboo75boboboo194boobo5boo30boo5bobobo5boobobo34b
oobo4bo3bo4bo8bo251boboo36bobo3bo6boo70boobboobobb3o301bobbo25boboboob
obo7b4o33b3o14bo7b3o379bo13bo3bo$686boo6bobo82bobbo191boo4b4o6bobbo28b
obbo6bobo37bo3bobboo16boo288boobobobbobobo3boo74bo5bo294bo7booboboo25b
4obbo45bo15bo6boobo379boo11boo5boo$688bobo3boo3bo80b3o191boobb3obo8boo
32boboo5bobbo35bo6bo15b3o89bo197booboob3obbo81bobo3bo293boo6bo3boo3bo
25boobbo9b5o24b3o6bo12boobo4boo4boo375bobo10b3o$694b4o82bo193boo4b3o7b
o33bobboboo3boobo53boobooboo77boo9boo199boboobobbo80boboo3bo294bobobb
4oboo5bo23bobo6bo9b3oboo20bo6bobo13bobo3bo5bo381bo7boboo$690bobo45bo
236bo16boobbo32bo6b3oboo40b3o6bo3boboo76boo3bo6bobo204bobo79booboo300b
ob3o3bo5bobbo22boo4boobbo7bobobobo20bo4boob4o6b3obobobooboo4boo378bo3b
ooboobobbo438boo$692b4o27boobbo9boo41boo200boo8bo3boboo30b3obbo5boo40b
oo6bob3obbo78boboo15b3o199bo77bobbo302bo4boo42bobo4bo29b4ob5oboo3bo7b
ooboo384bo3boob3o441boo$692b4o26boo5bo7bobo40boobobo190boo5bobobo5boob
obo28b3obbobobobob3o53boo81b3o5bobo4booboo198bobo78bobo32bo10boo253bob
oboobobo7b4o29bobobo4boo29boo7boobo3booboo4boo391boboo435boo5bo$693boo
28bobo3b4o50bo3bo195bobbo6bobo37bobobb3o54b3o8boo71bo6boobobobo284bobb
oo29b5o6boo256b4obbo43bobobbooboob3o48bobo387bobbo4bo433boo5boo$723boo
b4o9b3o38boo5bo198boboo5bobbo29boob3o4boo65b3o73b3obo6boboo316bobboo8b
o7boo248boobbo9b5o31b3oboobo6bo47boo386b3o441bo4bobobboo$723b3o4bobo5b
3o41b5o198bobboboo3boobo29bo4bob3o66b4obo72boo7bo322boobo5boo6b3obo
245bobo6bo9b3oboo27boo3boobo3bob3o25bobbo17bo385bobbo443boo3boob4o$
727bo12bobo247bo6b3oboo33boo56b3o5boo6boo70boo5boo237b3o92boo3boboo
250boo4boobbo7bobobobo27boo4bobo3bo27b5obo402bobobo48boo391boo10bo$
727b5o10b3o246b3obbo5boo29boboo57b3o5boo5boo73b5o239bo88bobo6boo264bob
o4bo38bobbobboo28bo6bo406bo35b3o9bobo402bo$717boobobboobboobbobbo7b3o
243b3obbobobobob3obb3o24b3o66bobobboboo7boo302b3o6bo90b3obo4bo38bo10b
oo207bobobo4boo33boobbo6bo29boboo3bo401bo3bo35bobb3o6bo9bo388bo$716boo
3bob3o4b4obo9bo248bobobb3o4bo5boobo18boo57boo7b5obbo7boobo301bo6bobbo
86b3o3bo4bo38b5o6boo210bobobbooboob3o28bo3bo3bo40bo441bobo16boobo387bo
3bo$717bobbo3boo4boo10bobbo243boob3o4boo8b3o3bo77bo8boo3bobboo5bo97boo
206bo6boboo86bo7bo40bobboo8bo7boo202b3oboobo6bo26bo4boboo36bobo352boo
93bo4boobbo3boobbo386booboo$717bobbobboo3b3o10bo3bo73boo168bo4bob3o7bo
3b3o3bo85b3obo3bo4boobo96bobo207boo3boboo86bo6bo43boobo5boo6b3obo201b
oo3boobo3bob3o30bo392boo92bo6boobboboobbo388bo3boboo$717bo9bo9booboo3b
o61b3o9bobo175boo8bobo3bo89bo3boob4ob3obo88boo5bo210bo3bobo147boo3bob
oo206boo4bobo3bo5boobbo21boo6boo32bobbo344boo4bobo92boboobo3b5o391boob
4o$708b3o14bo4bo5boo7bo61bobb3o6bo9bo164boboo10boboo97bob3o94bobo3boo
bbo211boboo89bo50bobo6boo214bobbobboo5boo5bo20bo5boo33bobbo343boo5boob
o100boo399boobbo$708bobb4obo8bo4boo6boboobbo63bobo16boobo163b3o13bobb
3o91boo4bo3bo90bo11bo199b3o3boo6bo144b3obo4bo206boobbo6bo6bobo3b4o17bo
6bobo32boboobo342bo5bobo92bobb6o401boobo$709b3ob4obo25bo68bo4boobbo3b
oobbo164boo3b3o3boob3o5boo92bo7bo91bo3boo3b3o197bobboobbob3obo142b3o3b
o4bo207bo3bo3bo9boob4o27b3o32boobbobo343boobbobo93b7o403bo$711b3obbobo
6boobo4bo7bobo7bobo57bo6boobboboobbo171bobb4o3bobbo3boo99b3o90boo4boo
4bo197bobbobboobo146bo7bo210bo4boboo8b3o4bobo24boo34bo5bo342b4obbo95b
3o405boo$725bo5boo9bo7bo62boboobo3b5o174boob3o102bobo5bo99b7o199booboo
boobo144bo6bo217bo14bo31bobo31bo350boobboo502b3o$718bo3b3o6bobbo6bo7b
oobboobo65boo176b3o4b3obb4o93boo5boo4bo95b4o207bobbo156bobo208boo15b5o
66bo338boo6bo4bo501boobbo$717boo3bo10bo6bobo5bobboobobbo56bobb6o170bo
14bo3bobo94bobo3bo6boo304boobbo147bo7bo24b3o185bo5boobobboobboobbobbo
26bobo32bo339boo3b3oboo3bo505bobo$723bo8boo6bobo4bobbo3bo60b7o170b6o
12bo3boo90boobobobbobobo3boo463boobboobo18bo187bo4boo3bob3o4b4obo27b3o
372bob4obbobo504bo3bobo$729boo8bo7bo4bo10b3o51b3o172bo7boo12boo89boob
oob3obbo469bobboobobbo10b3o6bo191bobbo3boo4boo31bo382bo506b6o$728boo9b
oo6bo3b3obobo5bo229bo6bo8boo96boboobobbo469bobbo3bo13bo6bobo191bobbobb
oo3b3o31bo67bo309bo3bobbobo505b3o$730bobo6boo6bo5bob3o7bo81boo146bobo
bbo8boo5bo96bobo317bo151bo4bo10b3o3bo4boob4o188bo9bo29boboobo4bo50boo
9boo309bo3bo4bo$730boo3bo14bobobo5boobbo81boo148bo4bo5boboo4b3o99bo
314boo151bo3b3obobo5bo7b4ob5oboo176b3o14bo4bo25booboobo54boo3bo6bobo
313bo$730bo3boo12b3obboo4boboboo75boo5bo153boo3b3o6bobo98bobo308bo4bob
o150bo5bob3o7bo6boo7boobo175bobb4obo8bo4boo24bobo4bo55boboo15b3o$730bo
3bobo18bo7boo74boo5boo153boo3bobo8boo407boo67boobbo46bobo39bobobo5boo
bbo196b3ob4obo42boo58b3o5bobo4booboo$730bo23boboobo81bo4bobobboo163boo
408bobo5boboo56boo49bo40b3obboo4boboboo198b3obbobo6boobo4bo27bo3bo55bo
6boobobobo842boobo7b3o$734b5o26boo76boo3boob4o157b3o418boo61booboobo
41boobboobo41bo7boo13bobbo195bo5boo27bo3bo5b4o49b3obo6boboo310b3o527bo
3bo6bo$731booboobb3o15bo7b3o76boo10bo156bobbo413boobboo63bobobbo39bobb
oobobbo39boboobo17b5obo186bo3b3o6bobbo34bo5bo48boo7bo314bo529bo4bo7bo
7boo$739bo15bo6boobo89bo158bo414boobboo62bob5o38bobbo3bo53boo10bo6bo
184boo3bo10bo26bobbo4bo6bo48boo5boo33boo274b3o6bo59booboo53boo409boo7b
obo4boobo$733bo3boboboo11boobo4boo4boo79bo163boo3boo226bo178bo4boo4boo
58boob3o40bo4bo10b3o33bo7b3o11boboo3bo189bo8boo25boobo4boobo3boo50b5o
34boo275bo6bobbo58bob3o52b3o411bobo4b3obobboo$734bo20bobo3bo5bo83boo
160boo3bobo147boobo73boo177b4obb4o4bo17boobbo35boo44bo3b3obobo5bo34bo
6boobo20bo194boo28bo6bobbobbo10boo82bo275bo6boboo57bobboobo49b4obo415b
o3boobboo$735boboo12b3obobobooboo4boo243b3obbo149bo3bo66bo5bobo176bobb
3o3b3o19boo39bobbo42bo5bob3o7bo31boobo4boo4boo13bobo194boo28boo9boboob
o8bobo83boo274boo3boboo64boo45boo6boo409boob4oboo$751bo7booboo254bo
149bo4bo64boo186bo9bo20booboobo23bo7booboboo43bobobo5boobbo33bobo3bo5b
o214bobo25bo7bobo3boobo7bobo82bo5bo271bo3bobo60bo3boo46boo5boo411b7o
34boo$752booboo4boo252boboob3o147boo66bobo3boobobo177b5obbo24bobobbo
21boo6bo3boo3bo39b3obboo4boboboo6boo21b3obobobooboo4boo14bobbo194boo3b
o23bo8b3o3boobo3bo90boobo274boboo59b4o48bobobboboo7boo443bobo$760bobo
254boo5bo147bobo67bo7boo179bo4boo20bob5o21bobobb4oboo5bo46bo7boo5boo
22bo7booboo20bobbo194bo3boo36boobbo3b4obo87bo3bo262b3o3boo6bo17booboo
36bo51b5obbo7boobo442bo$762boo252b3o6bo215bo4bo5boo178boo23boob3o25bob
3o3bo5bobbo43boboobo11bobo21booboo4boo22boboobo191bo3bobo31bo4bo3bobo
5bo83boobb3o264bobboobbob3obo18bob3o35bobboo48boo3bobboo5bo448bo$763bo
258bobo142bo6boo65bobbobb6o204boo30bo4boo64boo4b3o29bobo22boobbobo190b
o38bobboo3bo3b3o85boobo268bobbobboobo21bobboobo33b3o50b3obo3bo4boobo
447boo3bo$1018boboo144b5o4bobbo278bobbo25boboboobobo7b4o44bo7b3o4boo
32boo22bo5bo193b5o118bo13bo3bo267boobooboobo26boo21b3o7bobobobo47bo3b
oob4ob3obo446boobbobo$1160boo4bo6boo273bo7booboboo25b4obbo55bo6boobo7b
obo30bo22bo196booboobb3o34bobo5boo71boo11boo5boo271bobbo21bo3boo22bo6b
4o6boo51bob3o453boboobbo$1160bobo11bo72boobboo194boo6bo3boo3bo25boobbo
9b5o40boobo4boo4boo64bo199bo34bo8boobo69bobo10b3o276boobbo21b4o25bobb
3obo59boo4bo3bo449boobob3o$1160bo5boboo6bobo68bob4o194bobobb4oboo5bo
23bobo6bo9b3oboo37bobo3bo5bo7bobo54bo195bo3boboboo31boo6bobbo74bo7bob
oo302bo27b3obbobboobbo3booboo51bo7bo447bobo3boo$1161boo4bo4bobo72bo4bo
bo194bob3o3bo5bobbo22boo4boobbo7bobobobo32b3obobobooboo4boo7b3o249bo
45boob5o71bo3booboobobbo300bobboo24b3obbobo47boo22b3o446bo5bo$1161bobb
o6b3o81bo194bo4boo42bobo4bo39bo7booboo13bo252boboo32boobboo3booboobboo
70bo3boob3o304b3o31bobobo8bobbo32boo14bobo5bo435b3o17boo$800boo359bo6b
ooboo81b3o190boboboobobo7b4o29bobobo4boo39booboo4boo13bo289bobb3obbo
85boboo294b3o7bobobobo24bobo13bobbo26boo5bo14boo5boo4bo430bo12boo$799b
oo3bo358bobobobbo278b4obbo43bobobbooboob3o42bobo8boboobo4bo73boobo7b3o
197bobo4b3o80bobbo4bo293bo6b4o6boo23boo4bobbo6bobbobboo20boo5boo14bobo
3bo6boo430bo10boboo$801boboo449bo196boobbo9b5o31b3oboobo6bo41boo6boob
oobo78bo3bo6bo206boo81b3o300bobb3obo33bo6bobo9bobobbo21bo4bobobboo6boo
bobobbobobo3boo432b3o5bo4bo$803b3o359bo4bo26boo12b3o235bobo6bo9b3oboo
27boo3boobo3bob3o40bo6bobo4bo77bo4bo7bo7boo199bo77bobbo299b3obbobboobb
o3booboo28bo3boo4bo6bo23boo3boob4o3booboob3obbo440b6oboo3bo$803bo362b
4o27bobb3o8bo42boobo192boo4boobbo7bobobobo27boo4bobo3bo55boo80boo7bobo
4boobo199bobo77bobobo42boo253b3obbobo43bo3bo3boo29boo10bo4boboobobbo
444bo4bo$805b3o389bob5obo8bo39boob4o199bobo4bo38bobbobboo56bo3bo79bobo
4b3obobboo201bobo82bo29b3o9bobo257bobobo8bobbo29bo5boo5bo37bo10bobo
443bobo4boo$798boobo4boo390bo6boo4bobbo40bobb4o196bobobo4boo33boobbo6b
o55bo3bo5b4o77bo3boobboo282bo3bo29bobb3o6bo9bo246bobo13bobbo31boo3bobb
ooboo3bo26bo20bo440b3o$798boboo3bobo390bo5b3o5bobbo40boo202bobobbooboo
b3o28bo3bo3bo67bo5bo71boob4oboo321bobo16boobo246boo4bobbo6bobbobboo28b
oo3bo3b4obo26bo3bo15bobo438bo$792boo4boboo3b3o390bobbobbo8bo248b3oboob
o6bo26bo4boboo57bobbo4bo6bo72b7o239boo87bo4boobbo3boobbo246bo6bobo9bob
obbo32bobbo6bo24booboo458bobo45bo$791boo6bo5b3o393b4o10bobo244boo3boob
o3bob3o30bo58boobo4boobo3boo317boo86bo6boobboboobbo255bo3boo4bo6bo28bo
5bob3o28bo3boboo456b5o30boo9boo$792bobo4boo4bobo383boobobbo7bobbo8boo
244boo4bobo3bo5boobbo21boo59bo6bobbobbo10boo303boo4bobo86boboobo3b5o
49boo208bo3bo3boo33bo3b3obobo30boob4o457boobo29boo3bo6bobo$792b3o4boo
bboo127bo258boboobboobo3bobbobo8bo248bobbobboo5boo5bo20bo58boo9boboobo
8bobo301boo5boobo94boo40b3o9bobo207bo5boo5bo29bo4booboo36boobbo489bob
oo15b3o$792boo6bobo117boo9boo258boboo3bo5bobbobo7boo244boobbo6bo6bobo
3b4o17bo58bo7bobo3boobo7bobo95bo207bo5bobo86bobb6o41bobb3o6bo9bo201boo
3bobbooboo3bo25boo3bobo38boobo404boo85b3o5bobo4booboo$794bobo3boo3bo
113boo3bo6bobo258bo4bo5boo11b3o75bo168bo3bo3bo9boob4o80bo8b3o3boobo3bo
98boo209boobbobo87b7o43bobo16boobo202boo3bo3b4obo30bo41bo406bobo84bo6b
oobobobo$800b4o117boboo15b3o249boo3bo3bobo7boobooboo63boo9boo169bo4bob
oo8b3o4bobo90boobbo3b4obo88bo5bobo208b4obbo89b3o50bo4boobbo3boobbo207b
obbo6bobboo32boo33boo399boo4bo88b3obo6boboo49bo$796bobo45bo78b3o5bobo
4booboo240boobbo4boo6bob3o6bo3boboo62boo3bo6bobo174bo14bo91bo4bo3bobo
5bo87boo218boobboo139bo6boobboboobbo205bo5bob3o6bobb3o20boo6bobo32b3o
398bobo4bobo86boo7bo41boo9boo$798b4o27boobbo9boo78bo6boobobobo244boo4b
obboo6b4o8bob3obbo64boboo15b3o163boo15b5o88bobboo3bo3b3o89bobo3boobobo
201boo6bo4bo140boboobo3b5o206bo3b3obobo7bob5obo19bo5bo34boobbo396bo6b
3o86boo5boo41boo3bo6bobo$798b4o26boo5bo7bobo79b3obo6boboo244boobobb3o
7boo3boo9boo67b3o5bobo4booboo164bo5boobobboobboobbobbo193bo7boo198boo
3b3oboo3bo149boo209bo4booboo9bo6boo25boo36bobo397bo94b5o45boboo15b3o$
799boo28bobo3b4o87boo7bo250boobbo9bobo12b3o8boo57bo6boobobobo169bo4boo
3bob3o4b4obo90bobo5boo91bo4bo5boo198bob4obbobo143bobb6o211boo3bobo10bo
5b3o25bobbo31bo3bobo396boobobbo140b3o5bobo4booboo$829boob4o9b3o78boo5b
oo258bo6bobobboobo16b3o59b3obo6boboo173bobbo3boo4boo93bo8boobo89bobbo
bb6o207bo146b7o217bo12bobbobbo27bo34b6o400b4o140bo6boobobobo$829b3o4bo
bo5b3o81b5o257bobbo3boo6boobo15b4obo58boo7bo177bobbobboo3b3o94boo6bobb
o303bo3bobbobo145b3o8boo225b4o29bobo32b3o393boo8bobbo140b3obo6boboo$
833bo12bobo342bo4boo9bo6b3o5boo6boo56boo5boo178bo9bo103boob5o301bo3bo
4bo155b3o22boo184boo5boobobbo7bobbo29bo426bobbo5bob3o141boo7bo$833b5o
10b3o341bo5bo8bobo4b3o5boo5boo59b5o171b3o14bo4bo91boobboo3booboobboo
305bo158b4obo19boo187bo4boboobboobo3bobbobo26bobbo425bo3b4ob3o143boo5b
oo$823boobobboobboobbobbo7b3o352boobbobo12bobobboboo7boo226bobb4obo8bo
4boo90bobb3obbo471boo6boo11boo5bo192boboo3bo5bobbobo26bobbo427bo6bo
147b5o$822boo3bob3o4b4obo9bo351bo9boo7b5obbo7boobo226b3ob4obo103bobo4b
3o470boo5boo11boo5boo193bo4bo5boo33b3o427b5o3b3o$823bobbo3boo4boo10bo
bbo351bo9bo8boo3bobboo5bo83boo146b3obbobo6boobo4bo95boo471bobobboboo7b
oo4bo4bobobboo188boo3bo3bobo30b3ob3o51boobo7b3o363boobobo158b4o21boo$
823bobbobboo3b3o10bo3bo353b3o14b3obo3bo4boobo82bobo159bo5boo100bo314b
3o151b5obbo7boobo5boo3boob4o177boobbo4boo6bob3o25b3oboobb3o51bo3bo6bo
369bo158bo5bo19bobo$823bo9bo9booboo3bo353b6o12bo3boob4ob3obo74boo5bo
154bo3b3o6bobbo97bobo313bo153boo3bobboo5bo8boo10bo175boo4bobboo6b4o27b
o7boo52bo4bo7bo7boo516bo6bo12boo5bo$814b3o14bo4bo5boo7bo353bo23bob3o
80bobo3boobbo150boo3bo10bo98bobo307b3o6bo59booboo47boo37b3obo3bo4boobo
19bo177boobobb3o7boo3boo24bo6boo54boo7bobo4boobo516boobo3boo12bobo3boo
bbo$814bobb4obo8bo4boo6boboobbo354boo3bo16boo4bo3bo76bo11bo154bo8boo
408bo6bobbo58bob3o46b3o38bo3boob4ob3obo12bo185boobbo9bobo31b5o57bobo4b
3obobboo517bobbobbo10boo3bo11bo$815b3ob4obo25bo354boobbo21bo7bo77bo3b
oo3b3o158boo412bo6boboo57bobboobo43b4obo42bob3o18bo3bo188bo6bobobboobo
27boo64bo3boobboo365boo153boboobo8bobo5bo3boo3b3o$817b3obbobo6boobo4bo
7bobo7bobo346b3obb3o24b3o76boo4boo4bo156boo415boo3boboo64boo39boo6boo
38boo4bo3bo13booboo186bobbo3boo6boobo26boo6b6o49boob4oboo368boo151bobo
3boobo7bobo5boo4boo4bo$831bo5boo9bo7bo351bo4bobo13bobo5bo85b7o158bobo
413bo3bobo60bo3boo40boo5boo43bo7bo11bo3boboo184bo4boo9bo27boo6boob4o
49b7o34boo329boo4bobo60bo90b3o3boobo3bo15b7o$824bo3b3o6bobbo6bo7boobb
oobo345b4obobo13boo5boo4bo81b4o160boo3bo414boboo59b4o42bobobboboo7boo
41b3o11boob4o185bo5bo8bobo24bobo5bobboobo91bobo327boo5boobo58b6o45b4o
41boobbo3b4obo12b4o$823boo3bo10bo6bobo5bobboobobbo344b4obobo13bobo3bo
6boo244bo3boo149bo75b3o176b3o3boo6bo17booboo36bo45b5obbo7boobo31bobo5b
o19boobbo193boobbobo23boo6boo3bo11bo81bo331bo5bobo58bo6bo42bo5bo35bo4b
o3bobo5bo$829bo8boo6bobo4bobbo3bo58b3o289bo14boobobobbobobo3boo244bo3b
obo147b5o72bo178bobboobbob3obo18bob3o35bobboo42boo3bobboo5bo34boo5boo
4bo15boobo193bo29bobo4b3o3bobo8boo84bo330boobbobo59bo5bo41bo6bo36bobb
oo3bo3b3o13b3obbo$835boo8bo7bo4bo10b3o47bo305booboob3obbo251bo153bobb
oo65b3o6bo177bobbobboobo21bobboobo33b3o44b3obo3bo4boobo33bobo3bo6boo
15bo195bo28bo7b3obbobobobo5bobo83boo3bo325b4obbo63boobo39boobo3boo63b
ooboo$834boo9boo6bo3b3obobo5bo12boo36bo306boboobobbo256b5o147boobo64bo
6bobo179boobooboobo26boo21b3o7bobobobo41bo3boob4ob3obo5boo22boobobobbo
bobo3boo15boo196b3o25boo14bobo6bo84boobbobo326boobboo59boo43bobbobbo
10boo33bobo5boo13boboboo$836bobo6boo6bo5bob3o7bo10bobo37boo309bobo253b
ooboobb3o214bo4boob4o182bobbo21bo3boo22bo6b4o6boo45bob3o11bobo20booboo
b3obbo22b3o195b6o31bob3o3bo3b6o84boboobbo318boo6bo4bo18bo39bobo45boboo
bo8bobo31bo8boobo16bobbo$836boo3bo14bobobo5boobbo4boo5bo40bo313bo259bo
149bobo65b4ob5oboo178boobbo21b4o25bobb3obo53boo4bo3bo7bo24boboobobbo
23boobbo193bo37b3ob3o5bo3bo84boobob3o316boo3b3oboo3bo17b6o80bobo3boobo
7bobo31boo6bobbo18b3o$836bo3boo12b3obboo4boboboo4bobo3boobbo16bo333bob
o252bo3boboboo215boo7boobo203bo27b3obbobboobbo3booboo45bo7bo6boo28bobo
27bobo191boo3bo32bo3boboobobob3o85bobo3boo318bob4obbobo19bo6bo32b4obo
42b3o3boobo3bo41boob5o16bo$836bo3bobo18bo7boo4bo11bo13boo17bo571bo147b
3o6b3o279bobboo24b3obbobo65b3o5bobbo30bo22bo3bobo190boobbo39boo7boo84b
o5bo327bo22bo5bo23boo7bo51boobbo3b4obo5bo22boobboo3booboobboo$836bo23b
oboobo12bo3boo3b3o5bo5bobo13b4obo570boboo138bo4bobb3o4b3o278b3o31bobob
o8bobbo42bobo5bo8bo32bobo21b6o192b3obb3o35b3o6bobo69b3o17boo320bo3bobb
obo23boobo21boobo4boo5bobo40bo4bo3bobo5bo4boo22bobb3obbo24boo$840b5o
26boo5boo4boo4bo3boo21bo4bo711boo5boob5ob3o69bobbo195b3o7bobobobo24bob
o13bobbo42boo5boo4bo5bobo54b3o195bo4bobo41bo72bo12boo327bo3bo4bo20boo
27bo3boobobbo4b3o40bobboo3bo3b3o6bobo21bobo4b3o23boobobo$837booboobb3o
15bo7b3o11b7o3bobo3boobobo12bo4boo709bobo3b3o4booboo69b5obo193bo6b4o6b
oo23boo4bobbo6bobbobboo37bobo3bo6boo8bo250b4obobo32boo6bobboo70bo10bob
oo331bo24bobo26bo3bobbo4bo3bobo91boo27bo3bo$845bo15bo6boobo13b4o9bo7b
oo12bobb3o720bobo72bo6bo193bobb3obo33bo6bobo9bobobbo33boobobobbobobo3b
oo6bobbo249b4obobo32boo5boboo3bo70b3o5bo4bo384bo4bobo3bo6boo44bobo5boo
7b3o30bo21boo5bo$839bo3boboboo11boobo4boo4boo21bo4bo5boo14boo710b3o6bo
bbo73boboo3bo191b3obbobboobbo3booboo28bo3boo4bo6bo32booboob3obbo13bobb
o252bo34boobobobboo5bo72b6oboo3bo354b4obo24bobbo13b3o43bo8boobo4b3o30b
obo22b5o$840bo20bobo3bo5bo10b3obbo7bobbobb6o12booboo348boobo357b3o7bo
84bo190b3obbobo43bo3bo3boo40boboobobbo16b3o285boobo4bo3bo4bo74bo4bo
349boo7bo32bo3bobo10bo42boo6bobbo7bobo28bobo$841boboo12b3obobobooboo4b
oo7booboo34boboo348bo3bo358bobob4obbo79bobo196bobobo8bobbo29bo5boo5bo
42bobo12b3ob3o75bo10boo197bo3bobboo82bobo4boo346boobo4boo5bobo23boo7bo
7b3o3bo44boob5o7b3o$857bo7booboo15boboboo31bobo349bo4bo359booboo279bob
o13bobbo31boo3bobbooboo3bo41bo6b3oboobb3o74b5o6boo199bo6bo81b3o354bo3b
oobobbo4b3o24bo5b3o7boboboboo33boobboo3booboobboo6b3o$858booboo4boo21b
obbo9boobboo14boo4boobo343boo361b6o27bo13boo40bobbo192boo4bobbo6bobbo
bboo28boo3bo3b4obo40bobo5bo7boo75bobboo8bo7boo277bo357bo3bobbo4bo3bobo
30bobbo5b3oboboo33bobb3obbo18bo$866bobo22b3o9bob4o20bo3bo344bobo390boo
12boo41bobbo192bo6bobo9bobobbo32bobbo6bo48bo6boo77boobo5boo6b3obo197b
3o77bobo45bo308bo4bobo3bo6boo30b3obo4bob3o35bobo4b3o14bobbo$868boo21bo
11bo4bobo18bo4bo736bob5obo6bobo40boboobo196bo3boo4bo6bo28bo5bob3o55b5o
87boo3boboo202boo78b5o30boo9boo308bobbo13b3o31boob3o4bobo42boo14bo3bo
87boo$561bo307bo41bo19boo340bo6boo392bo3b4o4b3o40boobbobo197bo3bo3boo
33bo3b3obobo58boo82bobo6boo287boobo29boo3bo6bobo310bo3bobo10bo32booboo
3boo47bo7booboo3bo75b3o9bobo$560boo329boo17b3o20bobo336b5o4bobbo388bo
3bo8boo42bo5bo196bo5boo5bo29bo4booboo58boo6b6o76b3obo4bo318boboo15b3o
299boo7bo7b3o3bo30boo4bobboob3o39bobo5boo7bo75bobb3o6bo9bo$560bobo328b
oobobo369boo4bo6boo391b3o13bobo39bo204boo3bobbooboo3bo25boo3bobo59boo
6boob4o72b3o3bo4bo234boo85b3o5bobo4booboo301bo5b3o7boboboboo30b4obobbo
43bobo7boboobbo77bobo16boobo$894bo3bo11bo17bo6boo329bobo11bo392bob4o
56bo201boo3bo3b4obo30bo60bobo5bobboobo74bo7bo236bobo84bo6boobobobo313b
obbo5b3oboboo28b3obobob3o3bo55bo82bo4boobbo3boobbo$562b3o326boo5bo28b
5o4bobbo326bo5boboo6bobo381bo5boo3bobo10bobo40bo208bobbo6bobboo85boo6b
oo3bo11bo64bo6bo231boo4bo88b3obo6boboo49bo262b3obo4bob3o29bobboo3bo59b
obo7bobo71bo6boobboboobbo$561b3o329b5o5boo5boobo7boo4bo6boo331boo4bo4b
obo384b5oboobob3obb3o8b3o243bo5bob3o6bobb3o20boo59bobo4b3o3bobo8boo
303bobo4bobo86boo7bo41boo9boo263boob3o4bobo30boo3bobo4bo55bo7bo76boboo
bo3b5o$563bobo336boo6boob4o4bobo11bo331bobbo6b3o114boobo7b3o257bo8b3o
5boo8bo244bo3b3obobo7bob5obo19bo57bo7b3obbobobobo5bobo66bo235bo6b3o86b
oo5boo41boo3bo6bobo264booboo3boo31boo3b3o59bo7boobboobo79boo$565b3o
336bo6bobb4o3bo5boboo6bobo327bo6booboo115bo3bo6bo267boobbo13bo245bo4b
ooboo9bo6boo77boo14bobo6bo95b3o208bo94b5o45boboo15b3o257boo4bobboob3o
90bobo5bobboobobbo70bobb6o$565b3o344boo8boo4bo4bobo333bobobobbo117bo4b
o7bo7boo248boboob5obboboo5boboobo4bo59boobo7b3o168boo3bobo10bo5b3o86bo
b3o3bo3b6o94bo210boobobbo140b3o5bobo4booboo259b4obobbo7bo25bo3bo56bobo
4bobbo3bo74b7o$568bo353bobbo6b3o461boo7bobo4boobo241booboo4bo5boobboo
7booboobo64bo3bo6bo175bo12bobbobbo89b3ob3o5bo3bo87b3o6bo211b4o140bo6b
oobobobo262b3obobob3o3bobboo25bo59bo7bo4bo10b3o65b3o$565bobbo353bo6boo
boo337bo4bo26boo12b3o78bobo4b3obobboo243bob3o23bobo4bo63bo4bo7bo7boo
180b4o89bo3boboobobob3o88bo6bobo203boo8bobbo140b3obo6boboo259bobboo3bo
9bob5obo18bobo57boo6bo3b3obobo5bo$564bo3bo355bobobobbo340b4o27bobb3o8b
o86bo3boobboo243bobboo3boo7boo3boo9boo66boo7bobo4boobo164boo5boobobbo
7bobbo91boo7boo88bo4boob4o200bobbo5bob3o141boo7bo264boo3bobo4bo7bo3b4o
76boo6bo5bob3o7bo95boo$560booboo3bo734bob5obo8bo79boob4oboo254boo8boo
4bo9bo3bo65bobo4b3obobboo168bo4boboobboobo3bobbobo90b3o6bobo89b4ob5ob
oo197bo3b4ob3o143boo5boo265boo3b3o11bo3bo91bobobo5boobbo95boo$559boo7b
o357bo4bo372bo6boo4bobbo80b7o253bo3boo9bo3b3o6bo3bo5b4o63bo3boobboo
173boboo3bo5bobbobo98bo93boo7boobo198bo6bo147b5o285b3o92b3obboo4bobob
oo89boo5bo$561boboobbo359b4o373bo5b3o5bobbo339bo3b3o3boobbo4bobo15bo5b
o57boob4oboo178bo4bo5boo94boo6bobboo302b5o3b3o420bo3bo9bob4o95bo7boo
88boo5boo$567bo736bobbobbo8bo345bo5bo8bo8bobbo4bo6bo58b7o180boo3bo3bob
o95boo5boboo3bo301boobobo158b4o21boo239bo6bo5boo3bobo93boboobo95bo4bob
obboo$564bobo7bobo730b4o10bobo342boo3bobo9bo4boobo4boobo3boo236boobbo
4boo6bob3o92boobobobboo5bo306bo158bo5bo19bobo238bobo3b5oboobob3obb3o
100boo90boo3boob4o$565bo7bo723boobobbo7bobbo8boo353bobb3o4bo6bobbobbo
10boo226boo4bobboo6b4o93boobo4bo3bo4bo463bo6bo12boo5bo246bo8b3o5boo91b
o7b3o90boo10bo$564bo7boobboobo717boboobboobo3bobbobo8bo352b5o5boo9bob
oobo8bobo227boobobb3o7boo3boo89bo3bobboo471boobo3boo12bobo3boobbo251b
oobbo96bo6boobo103bo$563bobo5bobboobobbo716boboo3bo5bobbobo7boo352bobb
o6bo7bobo3boobo7bobo81bo147boobbo9bobo94bo6bo470bobbobbo10boo3bo11bo
241boboob5obboboo92boobo4boo4boo93bo$563bobo4bobbo3bo720bo4bo5boo11b3o
354boo7bo8b3o3boobo3bo84boo154bo6bobobboobo414boo153boboobo8bobo5bo3b
oo3b3o231booboo4bo5boobboo96bobo3bo5bo97boo$562bo7bo4bo10b3o709boo3bo
3bobo7boobooboo355bobboo16boobbo3b4obo74bo5bobo150bobbo3boo6boobo97b3o
313boo151bobo3boobo7bobo5boo4boo4bo230bob3o108b3obobobooboo4boo$562boo
6bo3b3obobo5bo702boobbo4boo6bob3o6bo3boboo352bo4boo13bo4bo3bobo5bo73b
oo159bo4boo9bo99boo308boo4bobo60bo90b3o3boobo3bo15b7o230bobboo3boo7boo
3boo89bo7booboo$562boo6bo5bob3o7bo699boo4bobboo6b4o8bob3obbo353boboboo
14bobboo3bo3b3o75bobo3boobobo150bo5bo8bobo406boo5boobo58b6o45b4o41boo
bbo3b4obo12b4o239boo8boo4bo90booboo4boo$573bobobo5boobbo702boobobb3o7b
oo3boo9boo356boobobbo105bo7boo159boobbobo408bo5bobo58bo6bo42bo5bo35bo
4bo3bobo5bo252bo3boo9bo3b3o96bobo$571b3obboo4boboboo704boobbo9bobo12b
3o8boo347bo4bo17bobo5boo77bo4bo5boo157bo416boobbobo59bo5bo41bo6bo36bo
bboo3bo3b3o13b3obbo235bo3b3o3boobbo4bobo98boo$578bo7boo711bo6bobobboob
o16b3o352bo16bo8boobo75bobbobb6o158bo416b4obbo63boobo39boobo3boo63boob
oo241bo5bo8bo101bo$577boboobo713bobbo3boo6boobo15b4obo345bobo4b3o12boo
6bobbo248b3o414boobboo59boo43bobbobbo10boo33bobo5boo13boboboo239boo3bo
bo9bo$588boo707bo4boo9bo6b3o5boo6boo345boobo22boob5o246b6o225boo177boo
6bo4bo18bo39bobo45boboobo8bobo31bo8boobo16bobbo248bobb3o$579bo7b3o708b
o5bo8bobo4b3o5boo5boo57boo290bo13boobboo3booboobboo245bo152b3o74boo
177boo3b3oboo3bo17b6o80bobo3boobo7bobo31boo6bobbo18b3o247b5o$578bo6boo
bo720boobbobo12bobobboboo7boo47boo305bobb3obbo254boo3bo147bobb3o65boo
5bo179bob4obbobo19bo6bo32b4obo42b3o3boobo3bo41boob5o16bo249bobbo$577b
oobo4boo4boo716bo9boo7b5obbo7boobo10bo37bo304bobo4b3o253boobbo149bobo
66boo5boo187bo22bo5bo23boo7bo51boobbo3b4obo5bo22boobboo3booboobboo267b
oo$578bobo3bo5bo718bo9bo8boo3bobboo5bo12boo39boo308boo255b3obb3o150bo
65bo4bobobboo176bo3bobbobo23boobo21boobo4boo5bobo40bo4bo3bobo5bo4boo
22bobb3obbo24boo251bobboo225boo$574b3obobobooboo4boo718b3o14b3obo3bo4b
oobo5bo5bobo37bo314bo254bo4bobo146bo69boo3boob4o174bo3bo4bo20boo27bo3b
oobobbo4b3o40bobboo3bo3b3o6bobo21bobo4b3o23boobobo244bo4boo149boo75bob
o$574bo7booboo724b6o12bo3boob4ob3obo3boo359bobo253b4obobo148bobo65boo
10bo178bo24bobo26bo3bobbo4bo3bobo91boo27bo3bo243boboboo148boo3bo65boo
5bo$575booboo4boo725bo23bob3o9bobo3boobobo14b3o17bobbo311bobo253b4obob
o141boobo6bo76bo232bo4bobo3bo6boo44bobo5boo7b3o30bo21boo5bo245boobobbo
147boboo65bobo3boobbo$583bobo725boo3bo16boo4bo3bo9bo7boo12bo16boobo
573bo144boo3bobbobbo70bo208b4obo24bobbo13b3o43bo8boobo4b3o30bobo22b5o
247bo4bo149b3o64bo11bo$585boo319b3o402boobbo21bo7bo6bo4bo5boo3b3o6bo
13boo4bo710b3o4bobbobbo3bo70bo3bo195boo7bo32bo3bobo10bo42boo6bobbo7bob
o28bobo279bo149bo69bo3boo3b3o$586bo319bo405b3obb3o24b3o5bobbobb6o4bo6b
obo15bobobbo709bo6bobbobbo3bo69booboo195boobo4boo5bobo23boo7bo7b3o3bo
44boob5o7b3o303bobo4b3o147b3o65boo4boo4bo$907bo406bo4bobo13bobo5bo25bo
4boob4o17bo712bo3bo6bobo70bo3boboo193bo3boobobbo4b3o24bo5b3o7boboboboo
33boobboo3booboobboo6b3o305boobo144boobo4boo71b7o$909boo403b4obobo13b
oo5boo4bo22b4ob5oboo11bobbo709bobbo8boo74boob4o193bo3bobbo4bo3bobo30bo
bbo5b3oboboo33bobb3obbo18bo307bo144boboo3bobo72b4o$910bo403b4obobo13bo
bo3bo6boo8boobboo8boo7boobo11bobo350bo359bobbo6b3o79boobbo190bo4bobo3b
o6boo30b3obo4bob3o35bobo4b3o14bobbo446boo4boboo3b3o$1317bo14boobobobbo
bobo3boo8bob4o32bobo349b5o357bo5bo3bo81boobo190bobbo13b3o31boob3o4bobo
42boo14bo3bo87boo356boo6bo5b3o71b3obbo$907bo423booboob3obbo15bo4bobo
31boo349bobboo359boboboobo83bo195bo3bobo10bo32booboo3boo47bo7booboo3bo
75b3o9bobo356bobo4boo4bobo70booboo$904b4obo423boboobobbo24bo11bobbo15b
o6bo345boobo360boo44boo41boo192boo7bo7b3o3bo30boo4bobboob3o39bobo5boo
7bo75bobb3o6bo9bo348b3o4boobboo75boboboo$904bo4bo429bobo23b3o9b5obo19b
5o710bo26b3o12bobo40b3o193bo5b3o7boboboboo30b4obobbo43bobo7boboobbo77b
obo16boobo347boo6bobo82bobbo$905bo4boo431bo33bo6bo18bobboo345bobo389bo
5boobo5bo42boobbo198bobbo5b3oboboo28b3obobob3o3bo55bo82bo4boobbo3boobb
o349bobo3boo3bo80b3o$907bobb3o429bobo20bo12boboo3bo19boobo706bobbo29b
3o3bo6boo44bobo197b3obo4bob3o29bobboo3bo59bobo7bobo71bo6boobboboobbo
357b4o82bo$911boo121b3o349bo359b3o6b3o387bo3b3o3bo5bobbo39bo3bobo197b
oob3o4bobo30boo3bobo4bo55bo7bo76boboobo3b5o355bobo45bo$908booboo121bo
330boobo14bobo22bobo330bo4bobb3o4b3o387bobo3bo8bo42b6o200booboo3boo31b
oo3b3o59bo7boobboobo79boo360b4o27boobbo9boo41boo$909boboo124bo327boob
4o368boo5boob5ob3o388boboo12bobo40b3o203boo4bobboob3o90bobo5bobboobobb
o70bobb6o361b4o26boo5bo7bobo40boobobo$909bobo122bobbo328bobb4o11bobbo
13b3o6b3o327bobo3b3o4booboo391bobb3o12bo246b4obobbo7bo25bo3bo56bobo4bo
bbo3bo74b7o363boo28bobo3b4o50bo3bo$910boo23boo98bobbo328boo8boo5bobbo
8bo4bobb3o4b3o338bobo384b3o3boob3o5boo7bobbo243b3obobob3o3bobboo25bo
59bo7bo4bo10b3o65b3o395boob4o9b3o38boo5bo$935bobo98bo340bobo5boboobo4b
oo5boob5ob3o328b3o6bobbo114bo10boo257bobb4o3bobbo3boo7bobbo242bobboo3b
o9bob5obo18bobo57boo6bo3b3obobo5bo465b3o4bobo5b3o41b5o$935bo102bobo
336bo7boobbobo3bobo3b3o4booboo328b3o7bo116b5o6boo259boob3o21b3o242boo
3bobo4bo7bo3b4o76boo6bo5bob3o7bo95boo370bo12bobo$938bo101boo344bo5bo
14bobo333bobob4obbo114bobboo8bo7boo248b3o4b3obb4o8b3ob3o61bo10boo168b
oo3b3o11bo3bo91bobobo5boobbo95boo371b5o10b3o$938boo101bo344bo10b3o6bo
bbo335booboo120boobo5boo6b3obo240bo14bo3bobo5b3oboobb3o60b5o6boo187b3o
92b3obboo4boboboo89boo5bo361boobobboobboobbobbo7b3o$938boo100boo349bo
4b3o7bo338b6o27bo13boo85boo3boboo243b6o12bo3boo4bo7boo61bobboo8bo7boo
164bo3bo9bob4o95bo7boo88boo5boo360boo3bob3o4b4obo9bo$937boo100b3o347bo
8bobob4obbo368boo12boo80bobo6boo247bo7boo12boo5bo6boo63boobo5boo6b3obo
163bo6bo5boo3bobo93boboobo95bo4bobobboo356bobbo3boo4boo10bobbo$933boob
oo96boobooboo358booboo372bob5obo6bobo83b3obo4bo244bo6bo8boo13b5o73boo
3boboo167bobo3b5oboobob3obb3o100boo90boo3boob4o354bobbobboo3b3o10bo3bo
73boo$933bo4bo95bo3boboo358b6o374bo3b4o4b3o80b3o3bo4bo247bobobbo8boo5b
o9boo68bobo6boo177bo8b3o5boo91bo7b3o90boo10bo353bo9bo9booboo3bo61b3o9b
obo$933bob4o95bob3obbo737bo3bo8boo82bo7bo250bo4bo5boboo4b3o7boo6b6o62b
3obo4bo181boobbo96bo6boobo103bo344b3o14bo4bo5boo7bo61bobb3o6bo9bo$937b
oo100boo737b3o13bobo79bo6bo256boo3b3o6bobo7boo6boob4o58b3o3bo4bo174bob
oob5obboboo92boobo4boo4boo93bo350bobb4obo8bo4boo6boboobbo63bobo16boobo
$937boo99b3o8boo728bob4o355boo3bobo8boo5bobo5bobboobo60bo7bo168booboo
4bo5boobboo96bobo3bo5bo97boo348b3ob4obo25bo68bo4boobbo3boobbo$937boo
109b3o721bo5boo3bobo10bobo80bo275boo5boo6boo3bo11bo50bo6bo169bob3o108b
3obobobooboo4boo447b3obbobo6boobo4bo7bobo7bobo57bo6boobboboobbo$939bo
107b4obo718b5oboobob3obb3o8b3o350b3o8bobo4b3o3bobo8boo227bobboo3boo7b
oo3boo89bo7booboo467bo5boo9bo7bo62boboobo3b5o$938boo97b3o5boo6boo716bo
8b3o5boo8bo352bobbo6bo7b3obbobobobo5bobo52bo180boo8boo4bo90booboo4boo
461bo3b3o6bobbo6bo7boobboobo65boo$938bo98b3o5boo5boo725boobbo13bo355bo
8boo14bobo6bo81b3o147bo3boo9bo3b3o96bobo460boo3bo10bo6bobo5bobboobobbo
56bobb6o$939bo105bobobboboo7boo708boboob5obboboo5boboobo4bo349boo3boo
12bob3o3bo3b6o80bo149bo3b3o3boobbo4bobo98boo465bo8boo6bobo4bobbo3bo60b
7o$947boo87boo7b5obbo7boobo699booboo4bo5boobboo7booboobo354boo3bobo12b
3ob3o5bo3bo73b3o6bo151bo5bo8bo101bo471boo8bo7bo4bo10b3o51b3o$947bobb3o
83bo8boo3bobboo5bo702bob3o23bobo4bo353b3obbo14bo3boboobobob3o74bo6bobo
152boo3bobo9bo569boo9boo6bo3b3obobo5bo$947bob5obo89b3obo3bo4boobo701bo
bboo3boo7boo3boo9boo359bo20boo7boo74bo4boob4o161bobb3o571bobo6boo6bo5b
ob3o7bo81boo$948bo6boo89bo3boob4ob3obo707boo8boo4bo9bo3bo353boboob3o
16b3o6bobo75b4ob5oboo157b5o573boo3bo14bobobo5boobbo81boo$948bo5b3o95bo
b3o710bo3boo9bo3b3o6bo3bo5b4o347boo5bo22bo79boo7boobo156bobbo574bo3boo
12b3obboo4boboboo75boo5bo$948bobbobbo95boo4bo3bo706bo3b3o3boobbo4bobo
15bo5bo344b3o6bo12boo6bobboo247boo574bo3bobo18bo7boo74boo5boo$951b4o
99bo7bo708bo5bo8bo8bobbo4bo6bo350bobo13boo5boboo3bo246bobboo225boo343b
o23boboobo81bo4bobobboo$941boobobbo7bobbo102b3o708boo3bobo9bo4boobo4b
oobo3boo57boo287boboo14boobobobboo5bo244bo4boo149boo75bobo346b5o26boo
76boo3boob4o$941boboobboobo3bobbobo92bobo5bo723bobb3o4bo6bobbobbo10boo
48bobo303boobo4bo3bo4bo244boboboo148boo3bo65boo5bo345booboobb3o15bo7b
3o76boo10bo$941boboo3bo5bobbobo92boo5boo4bo717b5o5boo9boboobo8bobo47bo
305bo3bobboo255boobobbo147boboo65bobo3boobbo350bo15bo6boobo89bo$942bo
4bo5boo97bobo3bo6boo716bobbo6bo7bobo3boobo7bobo9b3o38bo303bo6bo256bo4b
o149b3o64bo11bo342bo3boboboo11boobo4boo4boo79bo$942boo3bo3bobo95boobob
obbobobo3boo718boo7bo8b3o3boobo3bo13bo40boo571bo149bo69bo3boo3b3o341bo
20bobo3bo5bo83boo$933boobbo4boo6bob3o93booboob3obbo726bobboo16boobbo3b
4obobb3o6bo38boo311b3o252bobo4b3o147b3o65boo4boo4bo341boboo12b3obobob
ooboo4boo$932boo4bobboo6b4o97boboobobbo724bo4boo13bo4bo3bobo5bobbo6bob
o17boo18boo313boo254boobo144boobo4boo71b7o357bo7booboo$934boobobb3o7b
oo3boo99bobo725boboboo14bobboo3bo3b3o5bo4boob4o13boo15booboo573bo144bo
boo3bobo72b4o360booboo4boo$936boobbo9bobo107bo320boo403boobobbo33b4ob
5oboo4boo5bo15bo4bo711boo4boboo3b3o444bobo$943bo6bobobboobo100bobo318b
oo405bo4bo17bobo5boo7boo7boobobboo5boo15bob4o710boo6bo5b3o71b3obbo369b
oo$940bobbo3boo6boobo423bo409bo16bo8boobo22bo4bobobboo14boo711bobo4boo
4bobo70booboo372bo$941bo4boo9bo426boo401bobo4b3o12boo6bobbo25boo3boob
4o12boo711b3o4boobboo75boboboo$942bo5bo8bobo423bo405boobo22boob5o10bo
bbo9boo10bo11boo711boo6bobo82bobbo$953boobbobo832bo13boobboo3booboobb
oo8b5obo19bo13bo349b3o360bobo3boo3bo80b3o$953bo428bobbo420bobb3obbo17b
o6bo12bo18boo349bobb3o363b4o82bo$953bo425boobo423bobo4b3o17boboo3bo11b
o3bo14bo351bobo361bobo45bo$955b3o420boo4bo428boo26bo9booboo16bo4b3o
348bo360b4o27boobbo9boo41boo$955b6o15boo402bobobbo431bo20bobo10bo3bob
oo18bobb3o343bo362b4o26boo5bo7bobo40boobobo400boo$955bo20bobo406bo430b
obo33boob4o19bobo347bobo359boo28bobo3b4o50bo3bo397boo3bo$955boo3bo15bo
405bobbo123boo305bobo20bobbo14boobbo21bo337boobo6bo388boob4o9b3o38boo
5bo399boboo$955boobbo19bo403bobo122boo329bobbo15boobo19bo338boo3bobbo
bbo388b3o4bobo5b3o41b5o402b3o$956b3obb3o15boo3bo398bobo123bobo328boboo
bo13bo23bobo328b3o4bobbobbo3bo392bo12bobo446bo$958bo4bobo13boobbobo
398boo123b3o328boobbobo12boo15boobo6bo327bo6bobbobbo3bo392b5o10b3o446b
3o$958b4obobo14boboobbo397bo25bo98boo330bo5bo4bo6b3o13boo3bobbobbo330b
o3bo6bobo383boobobboobboobbobbo7b3o439boobo4boo$958b4obobo14boobob3o
421boo100bobo327bo9boo6boobbo5b3o4bobbobbo3bo327bobbo8boo126boo257boo
3bob3o4b4obo9bo438boboo3bobo$961bo18bobo3boo421bobo434bo4bobo9bobo3bo
6bobbobbo3bo328bobbo6b3o114b3o9bobo257bobbo3boo4boo10bobbo432boo4boboo
3b3o$980bo5bo526bobo328bo15bo3bobo5bo3bo6bobo330bo5bo3bo115bobb3o6bo9b
o249bobbobboo3b3o10bo3bo73boo356boo6bo5b3o$966b3o17boo424boo101b3o342b
6o3bobbo8boo335boboboobo117bobo16boobo248bo9bo9booboo3bo61b3o9bobo356b
obo4boo4bobo$966bo12boo431boo101bo346b3o5bobbo6b3o337boo44boo80bo4boo
bbo3boobbo239b3o14bo4bo5boo7bo61bobb3o6bo9bo348b3o4boobboo127bo$967bo
10boboo532bo356bo5bo3bo342bo26b3o12bobo77bo6boobboboobbo241bobb4obo8bo
4boo6boboobbo63bobo16boobo347boo6bobo117boo9boo$969b3o5bo4bo425boboo
97boboobo4bo353boboboobo370bo5boobo5bo81boboobo3b5o244b3ob4obo25bo68bo
4boobbo3boobbo349bobo3boo3bo113boo3bo6bobo$970b6oboo3bo3bo420b4o97boob
oobo360boo344bobbo29b3o3bo6boo88boo249b3obbobo6boobo4bo7bobo7bobo57bo
6boobboboobbo357b4o117boboo15b3o$973bo4bo6boo420bo3boo95bobo4bo363bo
371bo3b3o3bo5bobbo78bobb6o264bo5boo9bo7bo62boboobo3b5o355bobo45bo78b3o
5bobo4booboo$972bobo4boo4bob5obo418bobbo97boo737bobo3bo8bo82b7o258bo3b
3o6bobbo6bo7boobboobo65boo360b4o27boobbo9boo78bo6boobobobo$971b3o14bo
3b4o517bo3bo358bobbo373boboo12bobo80b3o259boo3bo10bo6bobo5bobboobobbo
56bobb6o361b4o26boo5bo7bobo79b3obo6boboo$970bo16bo3bo419boo3bo95bo3bo
5b4o729bobb3o12bo346bo8boo6bobo4bobbo3bo60b7o363boo28bobo3b4o87boo7bo$
971bobo12b3o422boo3bo104bo5bo717b3o3boob3o5boo7bobbo351boo8bo7bo4bo10b
3o51b3o395boob4o9b3o78boo5boo$972b5o10bob4o419bo99bobbo4bo6bo717bobb4o
3bobbo3boo7bobbo350boo9boo6bo3b3obobo5bo451b3o4bobo5b3o81b5o$973boobo
3bo5boo3bobo418bo98boobo4boobo3boo718boob3o21b3o351bobo6boo6bo5bob3o7b
o81boo370bo12bobo$979b5oboobob3obb3o415boo96bo6bobbobbo10boo708b3o4b3o
bb4o8b3ob3o351boo3bo14bobobo5boobbo81boo371b5o10b3o$979bo8b3o5boo424bo
87boo9boboobo8bobo700bo14bo3bobo5b3oboobb3o351bo3boo12b3obboo4boboboo
75boo5bo361boobobboobboobbobbo7b3o$987boobbo429boo87bo7bobo3boobo7bobo
699b6o12bo3boo4bo7boo352bo3bobo18bo7boo74boo5boo360boo3bob3o4b4obo9bo$
979boboob5obboboo426bob5obo81bo8b3o3boobo3bo703bo7boo12boo5bo6boo352bo
23boboobo81bo4bobobboo356bobbo3boo4boo10bobbo$971booboo4bo5boobboo432b
o3b4o92boobbo3b4obo700bo6bo8boo13b5o357b5o26boo76boo3boob4o354bobbobb
oo3b3o10bo3bo$971bob3o447bo3bo92bo4bo3bobo5bo702bobobbo8boo5bo9boo355b
ooboobb3o15bo7b3o76boo10bo353bo9bo9booboo3bo$971bobboo3boo7boo3boo427b
3o96bobboo3bo3b3o705bo4bo5boboo4b3o7boo6b6o352bo15bo6boobo89bo344b3o
14bo4bo5boo7bo$978boo8boo4bo428bob4o817boo3b3o6bobo7boo6boob4o345bo3bo
boboo11boobo4boo4boo79bo350bobb4obo8bo4boo6boboobbo$975bo3boo9bo3b3o
419bo5boo3bobo97bobo5boo709boo3bobo8boo5bobo5bobboobo59bo287bo20bobo3b
o5bo83boo348b3ob4obo25bo$975bo3b3o3boobbo4bobo418b5oboobob3obb3o92bo8b
oobo722boo5boo6boo3bo11bo48boo288boboo12b3obobobooboo4boo433b3obbobo6b
oobo4bo7bobo7bobo$979bo5bo8bo420bo8b3o5boo92boo6bobbo719b3o8bobo4b3o3b
obo8boo48bobo303bo7booboo453bo5boo9bo7bo$980boo3bobo9bo425boobbo104boo
b5o717bobbo6bo7b3obbobobobo5bobo10boo342booboo4boo447bo3b3o6bobbo6bo7b
oobboobo$992bobb3o417boboob5obboboo92boobboo3booboobboo718bo8boo14bobo
6bo10boo39boo310bobo446boo3bo10bo6bobo5bobboobobbo$991b5o411booboo4bo
5boobboo95bobb3obbo726boo3boo12bob3o3bo3b6o3boo5bo39boo312boo451bo8boo
6bobo4bobbo3bo58b3o$991bobbo412bob3o111bobo4b3o725boo3bobo12b3ob3o5bo
3bobboo5boo18boo334bo457boo8bo7bo4bo10b3o47bo$993boo21boobbo386bobboo
3boo7boo3boo99boo726b3obbo14bo3boboobobob3o5bo4bobobboo13bobo14boboo
772boo9boo6bo3b3obobo5bo12boo36bo$994bobboo16boo397boo8boo4bo103bo320b
oo406bo20boo7boo6boo3boob4o4boo5bo15b4o775bobo6boo6bo5bob3o7bo10bobo
37boo$991bo4boo19booboobo387bo3boo9bo3b3o100bobo319bobo402boboob3o16b
3o6bobo5boo10bo3bobo3boobbo12bo3boo773boo3bo14bobobo5boobbo4boo5bo40bo
$992boboboo21bobobbo386bo3b3o3boobbo4bobo100bobo319bo406boo5bo22bo20bo
3bo11bo15bobbo770bo3boo12b3obboo4boboboo4bobo3boobbo16bo$994boobobbo
17bob5o390bo5bo8bo427bo402b3o6bo12boo6bobboo11bo12bo3boo3b3o787bo3bobo
18bo7boo4bo11bo13boo17bo$995bo4bo16boob3o393boo3bobo9bo424boo407bobo
13boo5boboo3bo9bo3bo8boo4boo4bo11boo3bo769bo23boboobo12bo3boo3b3o5bo5b
obo13b4obo$1000bo16boo409bobb3o424boo403boboo14boobobobboo5bo9booboo
15b7o11boo3bo347boo424b5o26boo5boo4boo4bo3boo21bo4bo$995bobo4b3o12bobb
o406b5o425boo421boobo4bo3bo4bo8bo3boboo13b4o14bo350boo3bo418booboobb3o
15bo7b3o11b7o3bobo3boobobo12bo4boo$997boobo7bo7booboboo404bobbo422boob
oo422bo3bobboo18boob4o31bo352boboo426bo15bo6boobo13b4o9bo7boo12bobb3o$
1000bo6boo6bo3boo3bo404boo422bo4bo422bo6bo23boobbo9b3obbo14boo4boo346b
3o419bo3boboboo11boobo4boo4boo21bo4bo5boo14boo$1007bobobb4oboo5bo405bo
bboo16bo401bob4o454boobo8booboo21boo3bo343bo422bo20bobo3bo5bo10b3obbo
7bobbobb6o12booboo$1009bob3o3bo5bobbo400bo4boo16boo405boo431b3o21bo12b
oboboo20boboo345b3o419boboo12b3obobobooboo4boo7booboo34boboo$1010bo4b
oo411boboboo16bobo404boo124boo306boo21boo16bobbo19b3o337boobo4boo435bo
7booboo15boboboo31bobo$1007boboboobobo7b4o402boobobbo420boo124bobo328b
3o16b3o19bo339boboo3bobo436booboo4boo21bobbo9boobboo14boo4boobo$1009b
4obbo415bo4bo16boo404bo123bo330boobbo14bo23b3o329boo4boboo3b3o444bobo
22b3o9bob4o20bo3bo$1011boobbo9b5o406bo16boobb3o398boo124boo332bobo29b
oobo4boo328boo6bo5b3o446boo21bo11bo4bobo18bo4bo$1009bobo6bo9b3oboo397b
obo4b3o16boobo397bo125bobbo327bo3bobo11boo15boboo3bobo329bobo4boo4bobo
139bo307bo41bo19boo$1010boo4boobbo7bobobobo398boobo18bo4bo398bo23b3o
98bo330b6o4b3o5boobobo5boo4boboo3b3o329b3o4boobboo127bo13boo329boo17b
3o20bobo$1020bobo4bo408bo17b3o4bo421bo102bobo328b3o5bo10bo3bobboo6bo5b
3o329boo6bobo117boo9boo13bobo328boobobo$1018bobobo4boo19boo404bo5bo
423bo105bo335bo6boo5bo3bobo4boo4bobo331bobo3boo3bo113boo3bo6bobo346bo
3bo11bo17bo6boo$1020bobobbooboob3o14bobb3o387boo12bobobboo424boo100bo
bbo343b5o4b3o4boobboo340b4o117boboo15b3o5b3o326boo5bo28b5o4bobbo$1022b
3oboobo6bo11bob5obo383boo445bo100bobbo352boo6bobo338bobo45bo78b3o5bobo
4booboo4b3o329b5o5boo5boobo7boo4bo6boo$1022boo3boobo3bob3o10bo6boo384b
o9b3o535b3o353bobo3boo3bo337b4o27boobbo9boo78bo6boobobobo11bobo336boo
6boob4o4bobo11bo$1023boo4bobo3bo13bo5b3o386boo6booboo427bo101b3ob3o
359b4o339b4o26boo5bo7bobo79b3obo6boboo11b3o336bo6bobb4o3bo5boboo6bobo$
1027bobbobboo14bobbobbo388boobboobbob3o424b4obo95b3oboobb3o355bobo345b
oo28bobo3b4o87boo7bo15b3o344boo8boo4bo4bobo$1023boobbo6bo17b4o391boobo
bboo4b3o419bo4bo95bo7boo358b4o372boob4o9b3o78boo5boo19bo353bobbo6b3o$
1023bo3bo3bo10boobobbo7bobbo388bo4boo4bo5boobo413bo4boo94bo6boo358b4o
372b3o4bobo5b3o81b5o18bobbo353bo6booboo$1024bo4boboo9boboobboobo3bobbo
bo17bo366boo3bo11b3o3bo415bobb3o96b5o360boo377bo12bobo101bo3bo355bobob
obbo$1030bo11boboo3bo5bobbobo16boo366boo12bo3b3o3bo418boo98boo740b5o
10b3o95booboo3bo$1028boo13bo4bo5boo21bob5obo359bo14bobo3bo418booboo97b
oo6b6o719boobobboobboobbobbo7b3o94boo7bo357bo4bo$1029bo13boo3bo3bobo
25bo3b4o358booboo10boboo421boboo97boo6boob4o717boo3bob3o4b4obo9bo95bob
oobbo359b4o$1029bo4boobbo4boo6bob3o23bo3bo364bobo12bobb3o417bobo97bobo
5bobboobo719bobbo3boo4boo10bobbo101bo$1033boo4bobboo6b4o24b3o372b3o3b
oob3o5boo415boo96boo6boo3bo11bo709bobbobboo3b3o10bo3bo98bobo7bobo$
1035boobobb3o7boo3boo21bob4o368bobb4o3bobbo3boo513bobo4b3o3bobo8boo
709bo9bo9booboo3bo99bo7bo$1037boobbo9bobo18bo5boo3bobo368boob3o435b3o
86bo7b3obbobobobo5bobo699b3o14bo4bo5boo7bo98bo7boobboobo$1044bo6bobobb
oobo11b5oboobob3obb3o363b3o4b3obb4o426bo5boobo80boo14bobo6bo700bobb4ob
o8bo4boo6boboobbo98bobo5bobboobobbo$1041bobbo3boo6boobo11bo8b3o5boo
356bo14bo3bobo430b3o3bo89bob3o3bo3b6o700b3ob4obo25bo98bobo4bobbo3bo$
1042bo4boo9bo20boobbo361b6o12bo3boo426bo3b3o3bo89b3ob3o5bo3bo702b3obbo
bo6boobo4bo7bobo7bobo88bo7bo4bo10b3o$1043bo5bo8bobo10boboob5obboboo
358bo7boo12boo427bobo3bo92bo3boboobobob3o717bo5boo9bo7bo91boo6bo3b3obo
bo5bo$1054boobbobobbooboo4bo5boobboo362bo6bo8boo433boboo100boo7boo709b
o3b3o6bobbo6bo7boobboobo85boo6bo5bob3o7bo$1054bo8bob3o380bobobbo8boo5b
o429bobb3o96b3o6bobo707boo3bo10bo6bobo5bobboobobbo95bobobo5boobbo$
1054bo8bobboo3boo7boo3boo362bo4bo5boboo4b3o418b3o3boob3o5boo101bo716bo
8boo6bobo4bobbo3bo58b3o35b3obboo4boboboo$1056b3o11boo8boo4bo367boo3b3o
6bobo418bobb4o3bobbo3boo92boo6bobboo719boo8bo7bo4bo10b3o47bo44bo7boo$
1056b6o5bo3boo9bo3b3o365boo3bobo8boo418boob3o104boo5boboo3bo716boo9boo
6bo3b3obobo5bo12boo36bo42boboobo$1056bo10bo3b3o3boobbo4bobo380boo418b
3o4b3obb4o93boobobobboo5bo719bobo6boo6bo5bob3o7bo10bobo37boo50boo$
1056boo3bo9bo5bo8bo378b3o414bo14bo3bobo93boobo4bo3bo4bo718boo3bo14bobo
bo5boobbo4boo5bo40bo41bo7b3o$1056boobbo11boo3bobo9bo375bobbo412b6o12bo
3boo92bo3bobboo727bo3boo12b3obboo4boboboo4bobo3boobbo16bo61bo6boobo$
1057b3obb3o19bobb3o377bo22booboo386bo7boo12boo93bo6bo727bo3bobo18bo7b
oo4bo11bo13boo17bo42boobo4boo4boo$1059bo4bobo16b5o378boo3boo17bob3o
387bo6bo8boo430bo402bo23boboobo12bo3boo3b3o5bo5bobo13b4obo41bobo3bo5bo
$1059b4obobo16bobbo379boo3bobo16bobboobo387bobobbo8boo5bo101b3o319boo
406b5o26boo5boo4boo4bo3boo21bo4bo37b3obobobooboo4boo$1059b4obobo18boo
379b3obbo25boo386bo4bo5boboo4b3o101boo319bobo402booboobb3o15bo7b3o11b
7o3bobo3boobobo12bo4boo35bo7booboo$1062bo23bobboo380bo20bo3boo392boo3b
3o6bobo835bo15bo6boobo13b4o9bo7boo12bobb3o35booboo4boo$1083bo4boo378bo
boob3o16b4o394boo3bobo8boo424boo402bo3boboboo11boobo4boo4boo21bo4bo5b
oo14boo43bobo$1084boboboo380boo5bo14bo412boo425boo403bo20bobo3bo5bo10b
3obbo7bobbobb6o12booboo45boo319b3o$1086boobobbo376b3o6bo12bobboo405b3o
834boboo12b3obobobooboo4boo7booboo34boboo46bo319bo$1087bo4bo15boo365bo
bo13b3o407bobbo423boboo422bo7booboo15boboboo31bobo368bo$1092bo6b3o6bo
bbo359boboo6b3o7bobobobo405bo423b4o424booboo4boo21bobbo9boobboo14boo4b
oobo362boo$1087bobo4b3obbo8bo3b4o365bo6b4o6boo402boo3boo418bo3boo430bo
bo22b3o9bob4o20bo3bo362bo$1089boobo7bo9bo371bobb3obo412boo3bobo14b3o
405bobbo429boo21bo11bo4bobo18bo4bo$1092bo6boobo8boobo366b3obbobboobbo
3booboo400b3obbo16bo533bo307bo41bo19boo360bo$1099b3obo16bobo358b3obbob
o418bo17bo405boo3bo120boo329boo17b3o20bobo354b4obo$1096b3o6bobbo3boob
oob3o365bobobo8bobbo401boboob3o15boo402boo3bo120bobo328boobobo393bo4bo
$1096bo5bobbobobbo3bo7boo359bobo13bobbo403boo5bo14bo3boo398bo458bo3bo
11bo17bo6boo354bo4boo$1106bo3bobboobo4boboo359boo4bobbo6bobbobboo397b
3o6bo16boo399bo126b3o326boo5bo28b5o4bobbo353bobb3o$1096bo6boboboob5obo
4b6o3b3o351bo6bobo9bobobbo402bobo20boo397boo23boo98b3o329b5o5boo5boobo
7boo4bo6boo361boo$1097b3o6boo3bo4bo6bo3bobbo360bo3boo4bo6bo398boboo17b
6o423boo101bobo336boo6boob4o4bobo11bo358booboo$1099b3o9boo4bo3bo4bo4bo
361bo3bo3boo20bo404bobboobo424bo102b3o336bo6bobb4o3bo5boboo6bobo355bob
oo$1099boo6bo10bobo4b3obo3bobo50b3o304bo5boo5bo15boo391boo13bo4bo425b
oo99b3o344boo8boo4bo4bobo359bobo$1105b3o13boobo4bobboobo50bo308boo3bo
bbooboo3bo10bob5obo384bobo10bo6bo424bo104bo353bobbo6b3o361boo23boo$
1100bo3boobbo20boo3boobo49bo309boo3bo3b4obo13bo3b4o382bo11bo534bobbo
353bo6booboo387bobo$1094b3oboo6bo22boobbobb3o50boo311bobbo6bo11bo3bo
389bo7boo3bo427bobbo98bo3bo355bobobobbo389bo$1094bo25boo8bob6o52bo3boo
302bo5bob3o14b3o392boobboobobb3o425boobo97booboo3bo755bo$1095bo23boo
14bobboo53boo302bo3b3obobo16bob4o392bo5bo5boobbo416boo4bo94boo7bo357bo
4bo392boo$1094booboo22bo4boobob4o3boo56boo299bo4booboo10bo5boo3bobo
391bobo3bo4boo5bo416bobobbo95boboobbo359b4o393boo$1094boo27booboo4bo5b
o51b6o302boo3bobo10b5oboobob3obb3o385boboo3bo6bobo3b4o418bo101bo755boo
$1091bo25bo5bo3bo10bo51bobboobo306bo12bo8b3o5boo16b3o365booboo10boob4o
418bobbo98bobo7bobo742booboo$1090b5obboo7boo8boo7boboo9b3o36boo13bo4bo
326boobbo22bo5boobo358bobbo11b3o4bobo416bobo99bo7bo745bo4bo$1090bobboo
10boo9bobo3boobobo13bo35bobo10bo6bo304boo12boboob5obboboo22b3o3bo360bo
bo14bo421bobo98bo7boobboobo739bob4o$1092b3o12bo12bo6boo11bo36bo11bo
314bo3booboo4bo5boobboo22bo3b3o3bo359bobboo12b5o418boo97bobo5bobboobo
bbo742boo$1109boo8bo4boobbo4b3o9bo34bo7boo3bo314bob3o39bobo3bo369boobo
bboobboobbobbo415bo98bobo4bobbo3bo745boo$1108bo10bobbo4b3o3bobb3o5boo
34boobboobobb3o315bobboo3boo7boo3boo21boboo370boo3bob3o4b4obo512bo7bo
4bo10b3o734boo$1091b3o35bo4bobo7bobo37bo5bo324boo8boo4bo23bobb3o367bo
bbo3boo4boo427boobbo84boo6bo3b3obobo5bo738bo$1091b3o13bobbo19boo7bo44b
obo3bo321bo3boo9bo3b3o11b3o3boob3o5boo364bobbobboo3b3o427boo5bo82boo6b
o5bob3o7bo735boo$1099boo5boobboboo7b3o5boo6bobbo3bobo35boboo3bo322bo3b
3o3boobbo4bobo11bobb4o3bobbo3boo364bo9bo431bobo3b4o90bobobo5boobbo736b
o$1090boo6boo5bo5bo9bobboobb3o8boobb3o3boo30booboo330bo5bo8bo14boob3o
367b3o14bo4bo428boob4o91b3obboo4boboboo737bo$1090bo9bo4bobo5bobo7b4o
16bo5bobo29bobbo332boo3bobo9bo10b3o4b3obb4o358bobb4obo8bo4boo427b3o4bo
bo95bo7boo745boo$1102boobbo10b3o5boo13bobobb3o35bobo343bobb3o3bo14bo3b
obo360b3ob4obo444bo99boboobo750bobb3o$1102boo11bobbobbobo17b3obb4o33bo
bboo340b5o4b6o12bo3boo361b3obbobo6boobo4bo429b5o106boo743bob5obo$1117b
o5boobbo14boo4boo378bobbo5bo7boo12boo375bo5boo420boobobboobboobbobbo
94bo7b3o744bo6boo$1123boobbo14bo3bo5b3o375boo6bo6bo8boo373bo3b3o6bobbo
417boo3bob3o4b4obo92bo6boobo745bo5b3o$1143boo7bo5boobo369bobboo4bobobb
o8boo5bo366boo3bo10bo419bobbo3boo4boo95boobo4boo4boo741bobbobbo$1155b
3o3bo366bo4boo6bo4bo5boboo4b3o371bo8boo419bobbobboo3b3o97bobo3bo5bo
746b4o$1152bo3b3o3bo366boboboo11boo3b3o6bobo377boo422bo9bo96b3oboboboo
boo4boo734boobobbo7bobbo$1153bobo3bo371boobobbo8boo3bobo8boo375boo414b
3o14bo4bo93bo7booboo740boboobboobo3bobbobo$1154boboo374bo4bo23boo378bo
bo21bo389bobb4obo8bo4boo93booboo4boo741boboo3bo5bobbobo$1156bobb3o375b
o19b3o381boo3bo17b6o386b3ob4obo114bobo742bo4bo5boo$1146b3o3boob3o5boo
367bobo4b3o15bobbo380bo3boo17bo6bo386b3obbobo6boobo4bo101boo319b3o419b
oo3bo3bobo$1146bobb4o3bobbo3boo369boobo21bo381bo3bobo17bo5bo400bo5boo
103bo319bo412boobbo4boo6bob3o$1147boob3o384bo20boo3boo376bo27boobo392b
o3b3o6bobbo422bo410boo4bobboo6b4o$1146b3o4b3obb4o396boo3bobo379b5o16b
oo396boo3bo10bo425boo409boobobb3o7boo3boo$1139bo14bo3bobo397b3obbo378b
ooboobb3o14bobo401bo8boo426bo411boobbo9bobo$1138b6o12bo3boo401bo386bo
425boo848bo6bobobboobo$1138bo7boo12boo398boboob3o15bo360bo3boboboo11b
4obo404boo427bo418bobbo3boo6boobo$1139bo6bo8boo405boo5bo4boo6b4o359bo
10boo7bo411bobo421b4obo417bo4boo9bo$1141bobobbo8boo5bo398b3o6bobboobo
5bobb3obo356boboo5boobo4boo5bobo404boo3bo418bo4bo418bo5bo8bobo$1142bo
4bo5boboo4b3o403bobo4bo9bo3bobo365bo3boobobbo4b3o403bo3boo16boo401bo4b
oo427boobbobo$1147boo3b3o6bobo399boboo7bobbo7b4o367bo3bobbo4bo3bobo
402bo3bobo14boo404bobb3o426bo$1147boo3bobo8boo409boobo8bo3bo4boo359bo
4bobo3bo6boo401bo22bo407boo426bo$1162boo407boo4boo7b3obo3b3o359bobbo
13b3o405b5o16boo401booboo428b3o$1158b3o409boo5b3ob3o7b3obbobo360bo3bob
o10bo401booboobb3o13bo5bo398boboo428b6o15boo$1158bobbo409bo4bobo3b3o3b
obooboo362boo7bo7b3o3bo405bo18boobo397bobo429bo20bobo$1160bo24boo384b
oo5bobobo4boobobbobobb3o4boo352bo5b3o7boboboboo397bo3boboboo16bo3bo
396boo23boo404boo3bo15bo$1159boo3boo19bobo383boo12boo4b4oboo3bobboo
360bobbo5b3oboboo398bo20boobb3o423bobo403boobbo19bo$1159boo3bobo18bo
388boo3boo4boo4b3obobobobbobbo361b3obo4bob3o401boboo16boobo426bo406b3o
bb3o15boo3bo$1159b3obbo23bo385bo21boo3b3oboboo359boob3o4bobo15b3o391bo
13bo3bo426bo405bo4bobo13boobbobo$1164bo23boo3bo380bo4boobo12booboo3bo
3b3o360booboo3boo16bo5boobo383boo11boo5boo424boo404b4obobo14boboobbo$
1161boboob3o19boobbobo384bobbo21bo6bo360boo4bobboob3o12b3o3bo383bobo
10b3o430boo404b4obobo14boobob3o$1163boo5bo18boboobbo373boob3o4bobo22bo
5boobbo359b4obobbo13bo3b3o3bo386bo7boboo429boo408bo18bobo3boo$1162b3o
6bo17boobob3o371booboo21boo8bob3obbo360b3obobob3o3bo10bobo3bo388bo3boo
boobobbo424booboo428bo5bo$1168bobo18bobo3boo372boboo21bobo5boboobbo
362bobboo3bo18boboo390bo3boob3o6boo420bo4bo413b3o17boo$1164boboo21bo5b
o373bobo22bo5bobbob3obobb3o357boo3bobo4bo15bobb3o392boboo6bobb3o416bob
4o413bo12boo$1175b3o17boo372bo28b3o11bo359boo3b3o10b3o3boob3o5boo385bo
bbo4bo5bob5obo417boo414bo10boboo$1175bo12boo379bobo25boo3bo66boo319bo
bb4o3bobbo3boo17boobbo363b3o12bo6boo416boo416b3o5bo4bo$1176bo10boboo
373b3o4bo8boo8b3o6bobo10b3o53boo307bo3bo9boob3o28boo5bo360bobbo12bo5b
3o416boo417b6oboo3bo3bo$1178b3o5bo4bo372bobboobbo8bobo7bo6b3obo11bobo
54bo306bo12b3o4b3obb4o20bobo3b4o358bobobo10bobbobbo420bo419bo4bo6boo$
1179b6oboo3bo373bobo12bo10bo4booboboo9bobbo56boo303bobo3bo14bo3bobo21b
oob4o366bo12b4o419boo418bobo4boo4bob5obo$1182bo4bo382bo12bo9b4oboobbo
5boo61bo5bo304b6o12bo3boo20b3o4bobo359bo3bobboobobbo7bobbo415bo418b3o
14bo3b4o$1181bobo4boo393boo9boo5bo5boo3bo5b3o54boobo303bo7boo12boo24bo
371boboobboobo3bobbobo415bo416bo16bo3bo$1180b3o383bobbo13boo17bobo4bob
oo5bo57bo3bo302bo6bo8boo29b5o367boboo3bo5bobbobo423boo408bobo12b3o$
1179bo385boobo13boo20bo6b3o6bo51boobb3o306bobobbo8boo5bo13boobobboobb
oobbobbo365bo4bo5boo428bobb3o405b5o10bob4o$1180bobo382bo7boo6boo3boo8b
oo5boo6bo6bobo51boobo310bo4bo5boboo4b3o11boo3bob3o4b4obo364boo3bo3bobo
429bob5obo403boobo3bo5boo3bobo$1181b5o378boo7bobo3boobbobobbo6boobo4bo
9boo3boo4bo35bo13bo3bo312boo3b3o6bobo12bobbo3boo4boo359boobbo4boo6bob
3o429bo6boo408b5oboobob3obb3o$1182boobo378bo8bo5b3o4bo8bobboobo12b3o6b
oo34boo11boo5boo310boo3bobo8boo11bobbobboo3b3o359boo4bobboo6b4o431bo5b
3o408bo8b3o5boo$1565bo10bo11boboob3o3bo4bo9bo3boo3bobo33bobo10b3o331b
oo12bo9bo364boobobb3o7boo3boo427bobbobbo418boobbo$1576boo14boboobo17bo
4b4o39bo7boboo327b3o6b3o14bo4bo363boobbo9bobo434b4o410boboob5obboboo$
1590boo5boo3bo13boobo4bo37bo3booboobobbo326bobbo5bobb4obo8bo4boo369bo
6bobobboobo418boobobbo7bobbo398booboo4bo5boobboo$1597bobboo16b3o6boobb
o30bo3boob3o332bo7b3ob4obo379bobbo3boo6boobo418boboobboobo3bobbobo397b
ob3o$1617boo7boo5bo34boboo331boo3boo4b3obbobo6boobo4bo365bo4boo9bo419b
oboo3bo5bobbobo397bobboo3boo7boo3boo$1627bobo3b4o27bobbo4bo330boo3bobo
17bo5boo367bo5bo8bobo418bo4bo5boo409boo8boo4bo$1627boob4o30b3o336b3obb
o12bo3b3o6bobbo376boobbobo418boo3bo3bobo407bo3boo9bo3b3o$1627b3o4bobo
26bobbo341bo11boo3bo10bo377bo415boobbo4boo6bob3o406bo3b3o3boobbo4bobo$
1631bo32bobobo336boboob3o13bo8boo377bo414boo4bobboo6b4o412bo5bo8bo$
1631b5o33bo337boo5bo17boo382b3o19b3o390boobobb3o7boo3boo409boo3bobo9bo
$1621boobobboobboobbobbo26bo3bo336b3o6bo15boo383b6o16bobb4o388boobbo9b
obo425bobb3o$1620boo3bob3o4b4obo372bobo18bobo380bo22b7o394bo6bobobboob
o418b5o$1621bobbo3boo4boo372boboo21boo3bo377boo3bo18bo6bo389bobbo3boo
6boobo418bobbo$1621bobbobboo3b3o398bo3boo377boobbo19boo5bo390bo4boo9bo
421boo21boobbo$1621bo9bo401bo3bobo377b3obb3o18bo395bo5bo8bobo420bobboo
16boo$1612b3o14bo4bo398bo385bo4bobo12bo3bo406boobbobo417bo4boo19booboo
bo$1612bobb4obo8bo4boo401b5o377b4obobo15b3o405bo424boboboo21bobobbo$
1613b3ob4obo411booboobb3o4boo6b3o3bo356b4obobo3boo7boobobo405bo426boob
obbo17bob5o$1615b3obbobo6boobo4bo404bo5bobo5bobboobbo358bo7bobo3bobo3b
3obo405b3o423bo4bo16boob3o$1629bo5boo399bo3boboboobbobo6bobbo3bo365bob
3o3bob3o3b3o403b6o15boo408bo16boo$1622bo3b3o6bobbo398bo11b3o7booboo
367boobo5boo410bo20bobo402bobo4b3o12bobbo$1621boo3bo10bo400boboo7bobo
11boo366boo4b4o6bobbo401boo3bo15bo406boobo7bo7booboboo$1627bo8boo407b
oobo12boobo3b4o359boobb3obo8boo402boobbo19bo406bo6boo6bo3boo3bo$1633b
oo410bob3obooboo3boobo4bo5bo357boo4b3o7bo405b3obb3o15boo3bo408bobobb4o
boo5bo$1632boo411bob4obo3b10oboo4bo358bo16boobbo401bo4bobo13boobbobo
409bob3o3bo5bobbo$1634bobo409bo6boobo7bobbo4b3o4boo358boo8bo3boboo398b
4obobo14boboobbo409bo4boo$1634boo3bo406bobo4boo4bo6bobboo4bo3bobo351b
oo5bobobo5boobobo399b4obobo14boobob3o405boboboobobo7b4o$1634bo3boo406b
obo5bo4boo3bobbo3boboobobbo360bobbo6bobo405bo18bobo3boo407b4obbo$1634b
o3bobo407bo17bo3booboobbobo363boboo5bobbo15boobbo401bo5bo410boobbo9b5o
$1634bo413bobo3bo15bobbo3bob5o358bobboboo3boobo14boo5bo385b3o17boo407b
obo6bo9b3oboo$1638b5o404boo4b5o12bo3bo3boobbobbo361bo6b3oboo11bobo3b4o
382bo12boo415boo4boobbo7bobobobo$1635booboobb3o398boobboo4bobo24bobbob
3o360b3obbo5boo10boob4o386bo10boboo424bobo4bo$1643bo399bobo23bo8bo7b3o
356b3obbobobobob3o10b3o4bobo385b3o5bo4bo421bobobo4boo19boo$1637bo3bobo
boo21bo374bobo22boo8booboo4boo362bobobb3o16bo391b6oboo3bo3bo419bobobb
ooboob3o14bobb3o$1638bo28boo375boo22bobo4b3o5bo3bo358boob3o4boo17b5o
390bo4bo6boo421b3oboobo6bo11bob5obo$1639boboo24bobo373bo28bob3obbobbo
3bo359bo4bob3o9boobobboobboobbobbo386bobo4boo4bob5obo414boo3boobo3bob
3o10bo6boo$2043b3o25boo3bo3bo4bo368boo8boo3bob3o4b4obo16boo366b3o14bo
3b4o413boo4bobo3bo13bo5b3o$1670boo367boo4bo9bo9boo7boo375boboo10bobbo
3boo4boo20bobb3o361bo16bo3bo421bobbobboo14bobbobbo$1670boobb3o361boo3b
oo9boo8boo5boo13b4o361b3o11bobbobboo3b3o21bob5obo359bobo12b3o420boobbo
6bo17b4o$1674boobo362bob3o9bobo9bo4bobobo12boo362boo11bo9bo25bo6boo
359b5o10bob4o416bo3bo3bo10boobobbo7bobbo$1672bo4bo364boo24boo3b4o5boob
o370b3o14bo4bo22bo5b3o360boobo3bo5boo3bobo416bo4boboo9boboobboobo3bobb
obo17bo$1671b3o4bo362boo14boo9boo5bo6bo3bo6boo361bobb4obo8bo4boo21bobb
obbo368b5oboobob3obb3o418bo11boboo3bo5bobbobo16boo$1671bo5bo363boo14b
oo18bo4bo4bo4boo363b3ob4obo37b4o368bo8b3o5boo416boo13bo4bo5boo21bob5ob
o$1658boo12bobobboo361bobo34bobo4boo8bo364b3obbobo6boobo4bo12boobobbo
7bobbo372boobbo423bo13boo3bo3bobo25bo3b4o$1657boo380boo7bo6boo3bo9boo
14bobo3boo379bo5boo13boboobboobo3bobbobo363boboob5obboboo420bo4boobbo
4boo6bob3o23bo3bo$1659bo9b3o367bobo5boo5bobboboboo7bobo3bobo10bobboo
372bo3b3o6bobbo11boboo3bo5bobbobo355booboo4bo5boobboo427boo4bobboo6b4o
24b3o$1661boo6booboo364bo8bobo3boobo3b3o7bobbo3bo9bo9b3o365boo3bo10bo
13bo4bo5boo360bob3o445boobobb3o7boo3boo21bob4o$1661boobboobbob3o365boo
10bo10b3obboo3bobb4o9bob3obobbo373bo8boo13boo3bo3bobo361bobboo3boo7boo
3boo428boobbo9bobo18bo5boo3bobo$1664boobobboo378bo13boobbo5b3o12b3obbo
4bo377boo7boobbo4boo6bob3o367boo8boo4bo435bo6bobobboobo11b5oboobob3obb
3o$1665bo4boo378bobbo10boobbobb5o17boboboo377boo7boo4bobboo6b4o366bo3b
oo9bo3b3o430bobbo3boo6boobo11bo8b3o5boo$1662boo3bo403bobbo17boo7boo
375bobo6boobobb3o7boo3boo362bo3b3o3boobbo4bobo431bo4boo9bo20boobbo$
1662boo428bo8bobb3o371boo3bo5boobbo9bobo370bo5bo8bo434bo5bo8bobo10bob
oob5obboboo$1662bo429bo8bob5obo368bo3boo12bo6bobobboobo365boo3bobo9bo
442boobbobobbooboo4bo5boobboo$1663booboo434bo6boo367bo3bobo8bobbo3boo
6boobo377bobb3o442bo8bob3o$1665bobo434bo5b3o367bo15bo4boo9bo377b5o444b
o8bobboo3boo7boo3boo$2102bobbobbo373b5o8bo5bo8bobo375bobbo447b3o11boo
8boo4bo$2105b4o370booboobb3o17boobbobo377boo21boobbo421b6o5bo3boo9bo3b
3o$2095boobobbo7bobbo374bo18bo384bobboo16boo425bo10bo3b3o3boobbo4bobo$
2095boboobboobo3bobbobo367bo3boboboo15bo381bo4boo19booboobo418boo3bo9b
o5bo8bo$2095boboo3bo5bobbobo368bo25b3o378boboboo21bobobbo417boobbo11b
oo3bobo9bo$2096bo4bo5boo374boboo21b6o377boobobbo17bob5o418b3obb3o19bo
bb3o$2096boo3bo3bobo400bo383bo4bo16boob3o422bo4bobo16b5o$2087boobbo4b
oo6bob3o399boo3bo383bo16boo426b4obobo16bobbo$2086boo4bobboo6b4o401boo
bbo379bobo4b3o12bobbo424b4obobo18boo$2088boobobb3o7boo3boo398b3obb3o6b
o7boo361boobo7bo7booboboo425bo23bobboo$2090boobbo9bobo404bo4bobo3boo6b
oo3b3o359bo6boo6bo3boo3bo444bo4boo$2097bo6bobobboobo398b4obobo3bobo7bo
b4o366bobobb4oboo5bo445boboboo$2094bobbo3boo6boobo398b4obobo4boo13bo
367bob3o3bo5bobbo445boobobbo$2095bo4boo9bo402bo10bo8bo372bo4boo456bo4b
o15boo$2096bo5bo8bobo406bo3boo8bobboo4boo359boboboobobo7b4o450bo6b3o6b
obbo$2107boobbobo405b7obobo6b3o3booboo359b4obbo457bobo4b3obbo8bo3b4o$
2107bo411bo8boboboboo3boob6o360boobbo9b5o445boobo7bo9bo$2107bo419boobb
obo10bo9bo351bobo6bo9b3oboo444bo6boobo8boobo$2109b3o408boo6bobb3o3bob
oo3bo3boo3boo352boo4boobbo7bobobobo450b3obo16bobo$2109b6o405b3o6b3o6b
3o3bobo3bobbobo361bobo4bo454b3o6bobbo3booboob3o$2109bo414bo4boo3boo4bo
7bobbobo361bobobo4boo19boo432bo5bobbobobbo3bo7boo$2109boo3bo407bobo5bo
12bobobb4obobbo360bobobbooboob3o14bobb3o438bo3bobboobo4boboo$2109boobb
o408boo3booboo12bo3boobbobboobo360b3oboobo6bo11bob5obo425bo6boboboob5o
bo4b6o3b3o$2110b3obb3o400bo3bo4bo23bobboobboboo357boo3boobo3bob3o10bo
6boo425b3o6boo3bo4bo6bo3bobbo$2112bo4bobo397boo3bo5bo26bo5bo358boo4bob
o3bo13bo5b3o427b3o9boo4bo3bo4bo4bo$2112b4obobo397bobo22b3o7b5o5bo361bo
bbobboo14bobbobbo429boo6bo10bobo4b3obo3bobo$2112b4obobo398boo22bo10bo
8bo357boobbo6bo17b4o435b3o13boobo4bobboobo$2115bo427bo4b4obb4obbo359bo
3bo3bo10boobobbo7bobbo426bo3boobbo20boo3boobo$2517b3o25b4o5boo4boo359b
o4boboo9boboobboobo3bobbobo17bo401b3oboo6bo22boobbobb3o$2513boo3bo20b
oo5bobo11boo365bo11boboo3bo5bobbobo16boo401bo25boo8bob6o$2513bo3bo10b
3o8bobo3boo3boo9b3o361boo13bo4bo5boo21bob5obo395bo23boo14bobboo$2513bo
4bo9bo10bo7bo16bo361bo13boo3bo3bobo25bo3b4o392booboo22bo4boobob4o3boo$
2515bobo11bo12bo3boboboo5bo368bo4boobbo4boo6bob3o23bo3bo396boo27booboo
4bo5bo$2516bo14boo9boo5bo6b5o6boo361boo4bobboo6b4o24b3o396bo25bo5bo3bo
10bo$2515bo16bo17bobo3bobboo6bobo362boobobb3o7boo3boo21bob4o391b5obboo
7boo8boo7boboo9b3o$2514bobo35bo5boobo5bo366boobbo9bobo18bo5boo3bobo
390bobboo10boo9bobo3boobobo13bo$2514bobo12boo3bo10bo8bo386bo6bobobboob
o11b5oboobob3obb3o388b3o12bo12bo6boo11bo$2513bo7b3o5boobbobo8b4o3bo9bo
bobboo370bobbo3boo6boobo11bo8b3o5boo405boo8bo4boobbo4b3o9bo$2513boo6bo
6bobo3boboo6bo4bobobo8boobbobo3boo365bo4boo9bo20boobbo410bo10bobbo4b3o
3bobb3o5boo$2513boo7bo4boo12bo4bo3bobo9b5o4boo367bo5bo8bobo10boboob5o
bboboo390b3o35bo4bobo7bobo$2524b4obo7bob4obboobbo17boo3boo377boobbobo
bbooboo4bo5boobboo393b3o13bobbo19boo7bo$2525boo12bobbobbooboo17boo3bo
378bo8bob3o417boo5boobboboo7b3o5boo6bobbo3bobo$2569bobbo3bo374bo8bobb
oo3boo7boo3boo389boo6boo5bo5bo9bobboobb3o8boobb3o3boo$2546boo17bobo7b
oo376b3o11boo8boo4bo389bo9bo4bobo5bobo7b4o16bo5bobo$2566bo8bob5obo369b
6o5bo3boo9bo3b3o399boobbo10b3o5boo13bobobb3o$2578bo3b4o367bo10bo3b3o3b
oobbo4bobo399boo11bobbobbobo17b3obb4o$2577bo3bo371boo3bo9bo5bo8bo416bo
5boobbo14boo4boo$2209boo365b3o374boobbo11boo3bobo9bo419boobbo14bo3bo5b
3o$2209bobo365bob4o371b3obb3o19bobb3o439boo7bo5boobo$2209bo360bo5boo3b
obo372bo4bobo16b5o453b3o3bo$2212bo356b5oboobob3obb3o368b4obobo16bobbo
451bo3b3o3bo$2212boo3bo351bo8b3o5boo368b4obobo18boo452bobo3bo$2212boo
bbobo358boobbo377bo23bobboo449boboo$2213boboobbo349boboob5obboboo395bo
4boo452bobb3o$2213boobob3o340booboo4bo5boobboo399boboboo442b3o3boob3o
5boo$2213bobo3boo340bob3o417boobobbo439bobb4o3bobbo3boo$2213bo5bo341bo
bboo3boo7boo3boo399bo4bo15boo423boob3o$2199b3o17boo347boo8boo4bo404bo
6b3o6bobbo420b3o4b3obb4o$2199bo12boo351bo3boo9bo3b3o397bobo4b3obbo8bo
3b4o409bo14bo3bobo$2200bo10boboo350bo3b3o3boobbo4bobo399boobo7bo9bo
413b6o12bo3boo$2202b3o5bo4bo353bo5bo8bo404bo6boobo8boobo409bo7boo12boo
$2203b6oboo3bo354boo3bobo9bo408b3obo16bobo402bo6bo8boo$2206bo4bo370bo
bb3o405b3o6bobbo3booboob3o406bobobbo8boo5bo$2205bobo4boo367b5o407bo5bo
bbobobbo3bo7boo404bo4bo5boboo4b3o$2204b3o374bobbo418bo3bobboobo4boboo
408boo3b3o6bobo$2203bo379boo408bo6boboboob5obo4b6o3b3o400boo3bobo8boo$
2204bobo377bobboo405b3o6boo3bo4bo6bo3bobbo417boo$2205b5o371bo4boo408b
3o9boo4bo3bo4bo4bo412b3o$2206boobo372boboboo408boo6bo10bobo4b3obo3bobo
408bobbo$2584boobobbo411b3o13boobo4bobboobo410bo$2585bo4bo406bo3boobbo
20boo3boobo407boo3boo$2590bo400b3oboo6bo22boobbobb3o406boo3bobo$2585bo
bo4b3o396bo25boo8bob6o407b3obbo$2587boobo401bo23boo14bobboo410bo$2590b
o400booboo22bo4boobob4o3boo407boboob3o$2991boo27booboo4bo5bo410boo5bo$
2988bo25bo5bo3bo10bo409b3o6bo$2987b5obboo7boo8boo7boboo9b3o413bobo$
2987bobboo10boo9bobo3boobobo13bo408boboo$2989b3o12bo12bo6boo11bo$3006b
oo8bo4boobbo4b3o9bo$3005bo10bobbo4b3o3bobb3o5boo$2988b3o35bo4bobo7bobo
$2988b3o13bobbo19boo7bo$2996boo5boobboboo7b3o5boo6bobbo3bobo$2987boo6b
oo5bo5bo9bobboobb3o8boobb3o3boo$2987bo9bo4bobo5bobo7b4o16bo5bobo$2999b
oobbo10b3o5boo13bobobb3o$2999boo11bobbobbobo17b3obb4o$3014bo5boobbo14b
oo4boo$3020boobbo14bo3bo5b3o$3040boo7bo5boobo$2207b3o842b3o3bo$2207bo
841bo3b3o3bo$2208bo841bobo3bo$2210boo839boboo$2211bo3boo836bobb3o$
2214boo827b3o3boob3o5boo$2217boo824bobb4o3bobbo3boo$2211b6o827boob3o$
2211bobboobo825b3o4b3obb4o$2198boo13bo4bo817bo14bo3bobo$2198bobo10bo6b
o816b6o12bo3boo$2198bo11bo824bo7boo12boo$2201bo7boo3bo821bo6bo8boo$
2201boobboobobb3o824bobobbo8boo5bo$2205bo5bo827bo4bo5boboo4b3o$2205bob
o3bo832boo3b3o6bobo$2203boboo3bo833boo3bobo8boo$2202booboo852boo$2202b
obbo494bo354b3o$2204bobo492boo354bobbo$2204bobboo490bobo355bo$3056boo
3boo$2702boo352boo3bobo$2702boobb3o347b3obbo$2706boobo351bo$2704bo4bo
348boboob3o$2703b3o4bo349boo5bo$2703bo5bo349b3o6bo$2690boo12bobobboo
354bobo$2689boo370boboo$2691bo9b3o$2693boo6booboo$2693boobboobbob3o$
2696boobobboo$2697bo4boo$2694boo3bo$2694boo$2694bo$2695booboo$2697bobo
24$2698boo$2697boo$2699bo$2701boo$2700bo5bo$2704boobo$2705bo3bo$2701b
oobb3o$2701boobo$2689bo13bo3bo$2688boo11boo5boo$2688bobo10b3o$2692bo7b
oboo$2691bo3booboobobbo$2691bo3boob3o$2697boboo$2693bobbo4bo$2693b3o$
2692bobbo$2693bobobo$2698bo$2694bo3bo22$3213b3o$3213bo$3214bo$3216boo$
3217bo3boo$3220boo$3223boo$3217b6o$3217bobboobo$3204boo13bo4bo426b3o$
3204bobo10bo6bo426bo$3204bo11bo435bo$3207bo7boo3bo433boo$3207boobboobo
bb3o435bo3boo$3211bo5bo440boo$3211bobo3bo443boo$3209boboo3bo438b6o$
3208booboo442bobboobo$3208bobbo430boo13bo4bo$3210bobo429bobo10bo6bo$
3210bobboo427bo11bo$3645bo7boo3bo$3645boobboobobb3o$3649bo5bo$3649bobo
3bo$3647boboo3bo$3646booboo$3646bobbo$3648bobo$3648bobboo15$3212boo$
3212bobo$3212bo$3215bo$3215boo3bo$3215boobbobo$3216boboobbo470bo$3216b
oobob3o468b5o$3216bobo3boo468bobboo$3216bo5bo427boo42boobo$3202b3o17b
oo426bobo$3202bo12boo433bo46bobo$3203bo10boboo435bo$3205b3o5bo4bo434b
oo3bo31b3o6b3o$3206b6oboo3bo434boobbobo25bo4bobb3o4b3o$3209bo4bo439bob
oobbo23boo5boob5ob3o$3208bobo4boo437boobob3o22bobo3b3o4booboo12boo$
3207b3o444bobo3boo34bobo14boo3bo$3206bo447bo5bo25b3o6bobbo16boboo$
3207bobo430b3o17boo23b3o7bo21b3o$3208b5o427bo12boo32bobob4obbo19bo$
3209boobo428bo10boboo33booboo25b3o$3643b3o5bo4bo32b6o17boobo4boo$3644b
6oboo3bo55boboo3bobo$3647bo4bo53boo4boboo3b3o$3646bobo4boo50boo6bo5b3o
$3645b3o58bobo4boo4bobo$3644bo61b3o4boobboo$3645bobo21boo35boo6bobo15b
o$3646b5o17boo38bobo3boo3bo11boo$3647boobo19bo43b4o7bo5bobo$3637b3o32b
o37bobo11boo$3637bo33bobb3o35b4o8bobo3boobobo$3638bo6boo23boo3b3o34b4o
12bo7boo$3640boobboo13boo9boo6bo34boo12bo4bo5boo$3641bo4bo11b4oboo5bo
3b3o50bobbobb6o$3648boo3booboo3bo12bobobbo$3638bo9boobbobobobobbo3bobb
oo4boboobo$3635b4obo10boo3bob3oboboob3obbobb3o3bo51boobboo$3635bo4bo
10boo9bobo9bobbob3o51bob4o$3636bo4boo12boo4boo4boo3bobbobboo53bo4bobo$
3638bobb3o4b8o5boo9bobbobboo61bo$3642boo4booboo11bo3bo3bo5bo61b3o$
3639booboobbo20bo9bo$3640boboobbobo24bo66bo$3640bobo3bobo20boo3b3ob3o$
3641boo26bobboo3b5o58boobo$3669bo70boob4o$3665boo3boo7boobboo56bobb4o$
3664boo4bo10bob3o56boo$3666bobboo4bob3obboo$3668bo4bo3b3obboo$3668b6o
6b3o$3674bo4bobo$3664boboo3boob4oboo3b3o$3663b4obob3o3bobboo87boo$
3663bo3bobboobobobboo4bobbo79boo$3668b3obbobo3bo6bo82bo$3660boo5bobo7b
obo6bo$3660bobo4bobo13b5o$3660bo5bo11bo3b4o$3663boboobbo9b3obbo$3663b
ooboo13b3o$3645b3o11bo6bobo12bo$3645bo12boo3boo3boo12boo$3646bo11bobo
bbo4boo12b7o$3648boo12bobobboo12booboboo$3649bo12bobob3o19bo$3663bobo
16bobobbo$3646boo3bo10bo3boo14boo$3638b3o5boobbobo8boo17boobooboo$
3638bo6bobo3boboo6bobo13b4o3boo$3639bo4boo12bo18bo8bo$3641b4obo7bob4o
18bo6bo$3642boo12bobbo20b3ob3o$3684b3o$3684boo$3681b3o$3681boobboo$
3684bobo$$3687bo$3686boo$3686bo$3686bobo$3681b3o4bo$3681bobboobbo$
3682bobo$3687bo$$3683bobbo$3682boobo$3682bo$3681boo$3681bo$3682bo330$
3682boo$3681boo3bo$3683boboo$3685b3o$3685bo$3687b3o$3680boobo4boo$
3680boboo3bobo$3674boo4boboo3b3o$3673boo6bo5b3o14bo$3674bobo4boo4bobo
13b5o$3674b3o4boobboo16bobboo$3674boo6bobo20boobo$3676bobo3boo3bo$
3682b4o22bobo$3678bobo$3680b4o17b3o6b3o$3680b4o12bo4bobb3o4b3o$3681boo
12boo5boob5ob3o$3695bobo3b3o4booboo$3707bobo$3659bo37b3o6bobbo$3658boo
36b3o7bo14boo$3658bobo37bobob4obbo11boo$3627boo71booboo9boo5bo$3627bob
o31boo37b6o7boo5boo$3627bo7bo24bobob3o48bo4bobobboo$3306b3o321bo3boo
24boboboo51boo3boob4o$3306bo323boobbobo10boobboo7boobboboo49boo10bo$
3299b3o6bo321boo6bo8boob3o6boo3bobbo61bo$3299bo6bobo29b3o288boo6bo3b4o
bobobo3boboboobbo4bo55bo$3300bo4boob4o26bo286booboo7bo3boobobobo3bo4bo
boobobbo3boo52bo3bo$3302b4ob5oboo24bo285bo4bo12boo7bo6boobobbobboobo
50booboo$3303boo7boobo25boo282bob4o9boobbobbobbo3bobboo3bo4bo54bo3bob
oo$3342bo286boo11boo6bo3b5o6bobo55boob4o$3629boo6b3o3bobbo5bo9boobo62b
oobbo$3302boo8bo26boo288boo6bo5boo7bo9bo4boo60boobo$3301boo10bo17b3o5b
oo290bobboboboo25bo64bo$2891boo410bo8bo18bo6bobo289boo3bo27boobboo61b
oo$2891bobo411boo3boo20bo4boo291bo27b3o9bo59b3o$2884boo5bo412bo5bobo
21b4obo291bo26bo8bobb3o57boobbo$2884bobo3boobbo28boo385bobo22boo318bo
5b6o3boo62bobo$2884bo11bo26bobo382bo30bo314boo3boboo7bobobo56bo3bobo$
2887bo3boo3b3o24bo381boobo29bobo313bobo4bo7bo4bo56b6o$2887boo4boo4bo
26bo378boobbo28bo319boo5b4oboo61b3o$2893b7o26boo377bobob3o27bobo315bo
6bob3obo$2894b4o28boo377b4obbo348b3o3bobo$2887bo37boo414bobo312bo7bobo
bo3bobo$2886boo28boo6boo379boo3bo30bobo309boobo3bobbobb3o5b3o81bo$
2886bobo7b3o17bobo3boobbo376boo3bo24bo8bo309boo4boo3boo10bo81boo$2475b
3o438bo5b3o378b4o25boo7bo312boboo4bobb3obo7bo79bobo$2475bo413boo3boob
oo20bo407boo3bobo6boo314boo3bobbooboo5boo$2468b3o6bo411boo3boo23boo
383boobboo17bobo9b4o306b3o5boo8boo6bobo$2468bo6bobo29b3o384bo28bo379b
oo22bo7bobboo309bo5bo12boboboo$2469bo4boob4o26bo383booboo26bobo378boob
oobboo12bo5bo3boo4bo309bo4bobbo9bo3bo$2471b4ob5oboo24bo381b3oboo27bo
399boo5boobo5bo312booboobo10bobbo$2472boo7boobo25boo377bo4bo29bo380bo
bboo7boo4bobo5bo3bo299boo16boobb3o10bo$2511bo377boo3bo29bobo382bo6boo
10b3obo5bo296bobo10boo5bob3o12bo3bo$2893boo410bo3bo8bo3boobo4bo4b3o
297bo11boo4bo22boo$2471boo8bo26boo379b3obo32boo378boboo10bo4b3o3boobbo
302bo10bobbo18boobb3o$2470boo10bo17b3o5boo379bo36bo370boo6bobboo4boo3b
o4boboob4o305boo11booboboo13b3obobo$2472bo8bo18bo6bobo378boboo25boo6b
oo369boo6b4o6bobbobo4bo6boo305boo16bo18bo$2474boo3boo20bo4boo379boobbo
24boo8boo370bobb4oboo6bo6bobo313boo17bo14boo$2473bo5bobo21b4obo378boo
bbo19b3o4bo381bobbo12b3obbo306boo6boo3boo8bo3bo15bo3b3o$2479bobo22boo
382b3obboo16bo11boo375b3obb4oboo4boo3bo3boo301bobo3boobbobobbo6boobo
13boobboobo$2064boo411bo30bo382b4o17bo6booboo386bobbobbo6boo303bo5b3o
4bo8bobo14bo3b4oboo$2064bobo407boobo29bobo378bo19boo4booboobbobbo376b
4o8bobbo3bobobo306bo11boboob3o16boboboobo$2057boo5bo409boobbo28bo380bo
bboobbo6bo4boo6boboboo380boo3booboobo3bobbo5boo304boo14boboo21b4o$
2057bobo3boobbo28boo376bobob3o27bobo379boo9boo5bo5bo6bo379bobo12bobb5o
boo318boo23boo$2057bo11bo26bobo375b4obbo420bobo3boo4b4o3bobo380b3obboo
bobobo3boobbobobo11b3o329bo$2060bo3boo3b3o24bo413bobo378bobobbo10bobob
oobbo3boobo384bo3bobo5b5obb4o9bo331boo$2060boo4boo4bo26bo374boo3bo30bo
bo369bo7boobobo8boobbobo5b5o385boo10bo6boo3bo10bo329bobooboo$2066b7o
26boo371boo3bo24bo8bo369boo7boo6b3obbobo4b3obobboo387bo7b4oboo7bobbo
11bo328boboboo$2067b4o28boo371b4o25boo7bo370bobobb3o9bobb3obobb3o396bo
7boobbo14boob5ob4o6b3o5b3o312bo$2060bo37boo396boo3bobo6boo373b3o13bo3b
ob3o405bobo4bo5b3oboboobob4obbobo5bo5booboo312boo$2059boo28boo6boo374b
oobboo17bobo9b4o372bo6bob3o3bo5boboo375bo43bo6bo4bobo3bo9bobo317boo$
2059bobo7b3o17bobo3boobbo372boo22bo7bobboo388bobo4boo3boo372b5o29boo3b
oo15b4o3boo9boboo$2089bo5b3o374booboobboo12bo5bo3boo4bo375bobb3obo5bo
7boo375bobboo35booboo6b3obo3bo9bobobo318b3o$2062boo3booboo20bo399boo5b
oobo5bo376boobobboboo3bo4bo3boboo374boobo34bobbo5b3o3bobo5b5oboobo315b
oo3bo$2062boo3boo23boo380bobboo7boo4bobo5bo3bo380boob4o6bo8boo416bobo
5b3obbobo5booboobo318bo3bo$2067bo28bo381bo6boo10b3obo5bo378bo3b3o3bobb
o3boobbo3bo12boo362bobo380bo4bo$2064booboo26bobo376bo3bo8bo3boobo4bo4b
3o380bo5b3obboo3boo4bo3bo10bobo746bobo$2063b3oboo27bo378boboo10bo4b3o
3boobbo384boob3o3booboboob6obbo9bo356b3o6b3o381bo$2062bo4bo29bo368boo
6bobboo4boo3bo4boboob4o390bo5boobo3boboo5bo8boobbo348bo4bobb3o4b3o379b
o$2062boo3bo29bobo365boo6b4o6bobbobo4bo6boo389boo6bobbobboo7b3obbo3bo
3bobboo6boo6boo327boo5boob5ob3o378bobo$2066boo399bobb4oboo6bo6bobo410b
3o7bobob3oboo4bobboo6bobo3b3obo326bobo3b3o4booboo379bobo$2062b3obo32b
oo368bobbo12b3obbo410b4o7booboboo3boo6bo7bo4boo342bobo381bo$2062bo36bo
369b3obb4oboo4boo3bo3boo372boo31boo4bobobb3o3booboboobb3obbo6boo336b3o
6bobbo381boo$2061boboo25boo6boo379bobbobbo6boo373boo3bo29bo4bo4boo4bo
5bob4obo7bo4bo331b3o7bo384boo$2060boobbo24boo8boo369b4o8bobbo3bobobo
375boboo34bobb3o5boo3boboboobboobb3o5bo334bobob4obbo$2060boobbo19b3o4b
o378boo3booboobo3bobbo5boo375b3o35bobbo5boobobo10boo5bo338booboo$2061b
3obboo16bo11boo372bobo12bobb5oboo375bo46bobo16b3o340b6o$2064b4o17bo6b
ooboo375b3obboobobobo3boobbobobo11b3o362b3o$2061bo19boo4booboobbobbo
378bo3bobo5b5obb4o9bo357boobo4boo$2061bobboobbo6bo4boo6boboboo381boo
10bo6boo3bo10bo355boboo3bobo$2063boo9boo5bo5bo6bo380bo7b4oboo7bobbo11b
o347boo4boboo3b3o$2074bobo3boo4b4o3bobo380bo7boobbo14boob5ob4o6b3o5b3o
326boo6bo5b3o$2064bobobbo10boboboobbo3boobo388bobo4bo5b3oboboobob4obbo
bo5bo5booboo327bobo4boo4bobo417boo$2055bo7boobobo8boobbobo5b5o359bo43b
o6bo4bobo3bo9bobo332b3o4boobboo419boo3bo$2054boo7boo6b3obbobo4b3obobb
oo360b5o29boo3boo15b4o3boo9boboo330boo6bobo423boboo$2054bobobb3o9bobb
3obobb3o368bobboo35booboo6b3obo3bo9bobobo336bobo3boo3bo422b3o$2058b3o
13bo3bob3o371boobo34bobbo5b3o3bobo5b5oboobo343b4o424bo$2057bo6bob3o3bo
5boboo412bobo5b3obbobo5booboobo342bobo431b3o$2070bobo4boo3boo373bobo
406b4o421boobo4boo$2058bobb3obo5bo7boo785b4o421boboo3bobo$2058boobobbo
boo3bo4bo3boboo366b3o6b3o405boo416boo4boboo3b3o$2058boob4o6bo8boo363bo
4bobb3o4b3o821boo6bo5b3o$2059bo3b3o3bobbo3boobbo3bo12boo345boo5boob5ob
3o822bobo4boo4bobo$2060bo5b3obboo3boo4bo3bo10bobo344bobo3b3o4booboo
416bo406b3o4boobboo$2062boob3o3booboboob6obbo9bo358bobo418b5o403boo6bo
bo$2065bo5boobo3boboo5bo8boobbo345b3o6bobbo418bobboo405bobo3boo3bo$
2064boo6bobbobboo7b3obbo3bo3bobboo6boo6boo324b3o7bo423boobo410b4o$
2076b3o7bobob3oboo4bobboo6bobo3b3obo325bobob4obbo831bobo$2074b4o7boobo
boo3boo6bo7bo4boo331booboo428bobo406b4o$2041boo31boo4bobobb3o3booboboo
bb3obbo6boo335b6o836b4o$2040boo3bo29bo4bo4boo4bo5bob4obo7bo4bo757b3o6b
3o405boo6bo$2042boboo34bobb3o5boo3boboboobboobb3o5bo753bo4bobb3o4b3o
411boo$2044b3o35bobbo5boobobo10boo5bo754boo5boob5ob3o411bobo$2044bo46b
obo16b3o756bobo3b3o4booboo$2046b3o832bobo418boo$2039boobo4boo413boo
407b3o6bobbo418boo$2039boboo3bobo412boo3bo403b3o7bo$2033boo4boboo3b3o
414boboo405bobob4obbo415boboo$2032boo6bo5b3o416b3o406booboo418b4o$
2033bobo4boo4bobo416bo408b6o417bo3boo4boo$2033b3o4boobboo421b3o832bobb
3obo$2033boo6bobo416boobo4boo839bo$2035bobo3boo3bo413boboo3bobo414boo
415boo4bo$2041b4o409boo4boboo3b3o413boo416boo4b3o$2037bobo413boo6bo5b
3o415bo416bo3bobbo$2039b4o411bobo4boo4bobo417boo413bo5b3o$2039b4o411b
3o4boobboo419bo416boo3b4o$2040boo412boo6bobo846b5o$2456bobo3boo3bo417b
obbo424b3oboo$2462b4o416boobo424boobbo3bo$2051bo406bobo420boo4bo430boo
$2050b5o405b4o419bobobbobb3o421booboo$2050bobboo405b4o424bobbo425b3o$
2052boobo405boo6bo415bobbo3bo423bobo$2468boo416bobo3bo424bo$2055bobo
410bobo415bobobboo$2887boobb3o$2048b3o6b3o411boo414bo$2043bo4bobb3o4b
3o410boo420boboboboo$2042boo5boob5ob3o833boo3b3o$2042bobo3b3o4booboo
407boboo424bo6bo$2054bobo409b4o429boobo$2044b3o6bobbo409bo3boo4boo422b
oo$2043b3o7bo417bobb3obo421boo$2045bobob4obbo422bo421boo$2047booboo
418boo4bo424bo$2047b6o417boo4b3o$2471bo3bobbo$2471bo5b3o$2057boo413boo
3b4o$2056boo422b5o$2058bo423b3oboo$2060boo417boobbo3bo$2059bo427boo$
2484booboo835boo$2058bobbo424b3o834boo$2055boobo426bobo837bo$2054boo4b
o425bo$2056bobobbobb3o$2061bobbo$2058bobbo3bo$2059bobo3bo$2059bobobboo
$2060boobb3o$2060bo$2066boboboboo835bo$2067boo3b3o833boo$2068bo6bo832b
obo$2072boobo$2073boo$2073boo$2073boo$2074bo5$2493boo$2492boo$2494bo
13$2082bo$2081boo$2081bobo!
Hand-crafting a dedicated convoy to create those six synchronized gliders would be a difficult job.

BCNU,
-dbell
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dbell
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Re: Spaceship Discussion Thread

Post by dbell » March 7th, 2024, 10:34 pm

Refining my previous discussion, here is an explicit and practical clean period multiplying reaction for diagonal c/4 rakes.

Code: Select all

#C A reaction which period triples a diagonal c/4 period 144 rake.
#C Unseen period 144 rakes create a diagonal fuse composed of a set
#C of 10 beehives repeating every 36 cells.  A glider from the
#C visible period 144 rake ignites the fuse, which burns faster
#C than c/4 until it is stopped by a sparking spaceship.  The result
#C is that one glider from the rake is consumed every 432 generations.
#C Advancing the sparking spaceship by 50 generations causes the
#C multiplication factor to be increased by 1.  The same method can
#C be used to multiply the period of other rakes.
#C David I. Bell, 8 March 2024
x = 747, y = 789
6bo$5bobo$5bobo$bo4bo$obo$obo3bo$bo3bobo$5bobo$6bo$9boo3boo$8bobbobobb
o$9boo3boo5$18boo$17bobbo$18boo3$15boo3boo$14bobbobobbo$15boo3boo$24bo
$23bobo$23bobo$24bo$$24bo$23bobo$23bobo$24bo4$42bo$41bobo$41bobo$37bo
4bo$36bobo$36bobo3bo$37bo3bobo$41bobo$42bo$45boo3boo$44bobbobobbo$45b
oo3boo5$54boo$53bobbo$54boo3$51boo3boo$50bobbobobbo$51boo3boo$60bo$59b
obo$59bobo$60bo$$60bo$59bobo$59bobo$60bo4$78bo$77bobo$77bobo$73bo4bo$
72bobo$72bobo3bo$73bo3bobo$77bobo$78bo$81boo3boo$80bobbobobbo$81boo3b
oo5$90boo$89bobbo$90boo3$87boo3boo$86bobbobobbo$87boo3boo$96bo$95bobo$
95bobo$96bo$$96bo$95bobo$95bobo$96bo4$114bo$113bobo$113bobo$109bo4bo$
108bobo$108bobo3bo$109bo3bobo$113bobo$114bo$117boo3boo$116bobbobobbo$
117boo3boo5$126boo$125bobbo$126boo3$123boo3boo$122bobbobobbo$123boo3b
oo$132bo$131bobo$131bobo$132bo$$132bo$131bobo$131bobo$132bo4$150bo$
149bobo$149bobo$145bo4bo$144bobo$144bobo3bo$145bo3bobo$149bobo$150bo$
153boo3boo$152bobbobobbo$153boo3boo5$162boo$161bobbo$162boo3$159boo3b
oo$158bobbobobbo$159boo3boo$168bo$167bobo$167bobo$168bo$$168bo$167bobo
$167bobo$168bo4$186bo$185bobo$185bobo$181bo4bo$180bobo$180bobo3bo$181b
o3bobo$185bobo$186bo$189boo3boo$188bobbobobbo$189boo3boo5$198boo$197bo
bbo$198boo3$195boo3boo$194bobbobobbo$195boo3boo$204bo$203bobo$203bobo$
204bo$$204bo$203bobo$203bobo$204bo4$222bo$221bobo$221bobo$217bo4bo$
216bobo$216bobo3bo$217bo3bobo$221bobo$222bo$225boo3boo$224bobbobobbo$
225boo3boo5$234boo$233bobbo$234boo3$231boo3boo$230bobbobobbo$231boo3b
oo$240bo$239bobo$239bobo$240bo$$240bo$239bobo$239bobo$240bo4$258bo$
257bobo$257bobo$253bo4bo$252bobo$252bobo3bo$253bo3bobo$257bobo$258bo$
261boo3boo$260bobbobobbo$261boo3boo5$270boo$269bobbo$270boo3$267boo3b
oo$266bobbobobbo$267boo3boo$276bo$275bobo$275bobo$276bo$$276bo$275bobo
$275bobo$276bo4$294bo$293bobo$293bobo$289bo4bo$288bobo$288bobo3bo$289b
o3bobo$293bobo$294bo$297boo3boo$296bobbobobbo$297boo3boo5$306boo$305bo
bbo$306boo3$303boo3boo$302bobbobobbo$303boo3boo$312bo$311bobo$311bobo$
312bo$$312bo$311bobo$311bobo$312bo4$330bo$329bobo$329bobo$325bo4bo$
324bobo$324bobo3bo$325bo3bobo$329bobo$330bo$333boo3boo$332bobbobobbo$
333boo3boo5$342boo$341bobbo$342boo3$339boo3boo$338bobbobobbo$339boo3b
oo$348bo$347bobo$347bobo$348bo$$348bo$347bobo$347bobo$348bo4$366bo$
365bobo$365bobo$361bo4bo$360bobo$360bobo3bo$361bo3bobo$365bobo$366bo$
369boo3boo$368bobbobobbo$369boo3boo5$378boo$377bobbo$378boo3$375boo3b
oo$374bobbobobbo$375boo3boo$384bo$383bobo$383bobo$384bo$$384bo$383bobo
$383bobo$384bo4$402bo$401bobo$401bobo$397bo4bo$396bobo$396bobo3bo$397b
o3bobo$401bobo$402bo$405boo3boo$404bobbobobbo$405boo3boo5$414boo$413bo
bbo$414boo3$411boo3boo$410bobbobobbo$411boo3boo$420bo$419bobo$419bobo$
420bo$$420bo$419bobo$419bobo$420bo4$438bo$437bobo$437bobo$433bo4bo$
432bobo$432bobo3bo$433bo3bobo$437bobo$438bo$441boo3boo$440bobbobobbo$
441boo3boo5$450boo$449bobbo$450boo3$447boo3boo$446bobbobobbo$447boo3b
oo$456bo$455bobo$455bobo$456bo$$456bo$455bobo$455bobo$456bo4$474bo$
473bobo$473bobo$469bo4bo$468bobo$468bobo3bo$469bo3bobo$473bobo$474bo$
477boo3boo$476bobbobobbo$477boo3boo5$486boo$485bobbo$486boo3$483boo3b
oo$482bobbobobbo$483boo3boo$492bo$491bobo$491bobo$492bo$$492bo$491bobo
$491bobo$492bo4$510bo$509bobo$509bobo$505bo4bo$504bobo$504bobo3bo$505b
o3bobo$509bobo$510bo$513boo3boo$512bobbobobbo$513boo3boo5$522boo$521bo
bbo$522boo3$519boo3boo$518bobbobobbo$519boo3boo$528bo$527bobo$527bobo$
528bo$$528bo$527bobo$527bobo$528bo4$546bo$545bobo$545bobo$541bo4bo$
540bobo$540bobo3bo$541bo3bobo$545bobo$546bo$549boo3boo$548bobbobobbo$
549boo3boo5$558boo$557bobbo$558boo3$555boo3boo$554bobbobobbo$555boo3b
oo$564bo$563bobo$563bobo$564bo$$564bo$563bobo$563bobo$564bo4$582bo$
581bobo$581bobo$577bo4bo$576bobo$576bobo3bo$577bo3bobo$581bobo$582bo$
585boo3boo$584bobbobobbo$585boo3boo5$594boo$593bobbo$594boo3$591boo3b
oo$590bobbobobbo$591boo3boo$600bo$599bobo$599bobo$600bo$$600bo$599bobo
$599bobo$600bo4$618bo$617bobo$617bobo$613bo4bo$612bobo$612bobo3bo$613b
o3bobo$617bobo$618bo$621boo3boo$620bobbobobbo$621boo3boo4$490bo$489boo
139boo$489bob3o135bobbo$493bo136boo$488bo$485b4obobobo$485bo5bobbo132b
oo3boo$486bobb4o133bobbobobbo$485boobboo136boo3boo$479boo4boo149bo$
479bobbobboo148bobo$469bo3bo4bobboobbobbo146bobo$468b5obbobo4bobbo150b
o$468bo6b3o3bo4boo$466bobobb4oboobbo13boo140bo$465b3o3boo17b3ob4o137bo
bo$465bobbooboo15boo8bo136bobo$446bo10b3o10bobboo13bobbo6bo137bo$445b
oo10bo6bo4boo3bo14boo$421bo17bo5bobo10bobb3oboo3bo4bo10b4o4boo$420b6o
12boo20bo4bo7boobo8boobbo$420bo7boo8bobo3boobobo11bobobbo6bo3bobb3ob3o
167bo$421bo6bobo11bo7boo8b3o9boo6bo5bo166bobo$423bobobbob5o6bo4bo5boo
5boo12bo8bo3bo166bobo$424bo6bo9bobbobb6o4boobb3o5boo4boo3boboo165bo4bo
$432boo23bobb4o4boo9b3o24b3o139bobo$435bo21b3obo3boboob9o5bo8bob3o8bo
141bobo3bo$435bobo20bo6bobo8bo8boo4b3o15bo139bo3bobo$451bo5boobobo4bo
22boobb5o8bobbo142bobo$437boboboob3o4boo4bobboo3boo11boo9boob3o3bobbo
5bo3bo142bo$442bo4boobbobo5b6obo5boo4bo9boo3bobboo3bobboobboo147boo3b
oo$439bo12b4obo5boboob3obbobbo3bo8bo4b4o4boobbo149bobbobobbo$449bo5boo
bbobo5b3o4b3obbob3o10bobo4bobbobo150boo3boo$446bob4o5bobobo10b6o3b4o5b
oo8bo5bo$441bo3boo7b3o4bo3bobo4bobobobboboo3bobboobbo3b3o4boo$433boo5b
3obbo9b3o9bo5b3obboo6boobbo10b3oboo$432boo5b3o3bo5bobobboboobo11boobb
3ob3o3bo8boobb6o$434bo4bo11b4o21bo3bobb3obo8booboobobobobo157boo$436b
oo4bobo11bo20bo9boo7bobboo3bo3bo156bobbo$436boo5bobo6bobb3oboo22bobbob
o6boob3o3boo160boo$437bo5bobo7bobbobo21b4o4boob4obobboo$439bobbo11bo
25bo3bo4bobbo5bo$434boobbobbo20bo18bobo5boo172boo3boo$433boobbobboobbo
15bobo199bobbobobbo$432bo3bo4bo3bo15boo30bo169boo3boo$432bobb3obboobo
48boo178bo$433bo5bob3o3bo18bo25bobo176bobo$443bo20bobo204bobo$434boo8b
o20boo28boo175bo$434bobo7bo50boobb3o$437bo7boo23bo28boobo169bo$434bobb
o7boo21bobo26bo4bo101b3o64bobo$434bobo7boo23boo25b3o4bo100bo3boo61bobo
$440b3ob3o49bo5bo104bo64bo$440bo5bo27bo8boo12bobobboo100bo$441bobb3o
25bobo7boo117boobo3bobo$473boo9bo9b3o103boo4bobo$446bobo37boo6booboo
102bo3boo83bo$445b3o30bo7boobboobbob3o102boboo84bobo$440booboo3bo27bob
o10boobobboo98bo5bo87bobo$439boo5bo30boo11bo4boo97boo5bo83bo4bo$441bob
3o41boo3bo101bob3obb3o80bobo$482bo4boo94b3ob3o3bobo5boo81bobo3bo$480bo
bo4bo95bobbob3ob4o5boo82bo3bobo$443b3o35boo5booboo93boo4boboo14bo78bob
o$443bo31bo14bobo87b4o22bobob3o77bo$442boboo28boo10bo93bo5bo17boobo5bo
79boo3boo$441boobo29bobo7bobo31b3o52boo8boboboo14boob8o78bobbobobbo$
441b5o33bo5boo3boo26bobb3o36b3o9boo6bo5b3obo13bo3b4o81boo3boo$440bobbo
33boboo9boo27bobo38bo13bobboobo3bobbo13b3o$440b3o33boo3b3o6bo33bo10b3o
15b3o6bo13boobbo5bobob3o8bobbo$442bo30boo6boobbo36bo12bobb4obbo8bo6bob
o13b3obboo5bo7boobbo3bo$441bo30boo5bo44bobo9b3ob4obo8bo4boob4o22boboo
3boobboo$441bo25boo5bobobobbo4bo30boobo6bo10b3obbobboboo6b4ob5oboo5boo
12bo7booboo3bo97boo$462boobboo8booboboo3bo7boo20boo3bobbobbo17bobbo8b
oo7boobo3bobboboo4boobooboo3boobboo100bobbo$462bobo3bo5bo4bobbo3boboo
3bobo14b3o4bobbobbo3bo19boobo21boobobo6boob4o4bo4boo20boo78boo$462bo
10bo3bo3boo5boo3boo15bo6bobbobbo3bo22bo22boo6boo3bo4b3o6boo7boboo8boo$
463boo4b3obo3bobboo31bo3bo6bobo23b3o24bobb3o9bo7bo6boobboo9bobo$463bo
bbo4boobbo4bobboo25bobbo8boo28bo12bo7bobo11bo5bo11boo4booboo6boobo73b
oo3boo$463bo7boobo36bobbo6b3o28b3o4boo5boo4b6obboo22bo3boo13boobo71bo
bbobobbo$465boboboo3bo3b3o31bo5bo3bo31b6oboo5bo3bo6bobo5bo5boo8bo4bo5b
3obboo3bobo72boo3boo$466boob3oboo3b4o32boboboobo33boobboobobobbo3boo5b
o6b4o3bo4bo5bo5b8obboo87bo$470bobo5bobo8b3o24boo39boobboobo3boboo3bobo
3b4obobbob5o9bo7boobobboo86bobo$465boo5bobo5bobbo5b3o28bo36boobb3ob5o
3bobo11b3obbo4boo10bo3boo6bo85bobo$468boobboo6bo75boo9bobboo7b4o11bobo
bboobb3obobboboo4bobo87bo$463boo6b6o3bo3bo18boo4boo6bobbo27boo6bobbobo
5bo3boo3boo3boo4bobboboboo3b3o3bobo9bobboo74bo$463boobobb3o3bobobbo29b
oo36bobo4bo4bo13bo12bob3o4b3obbo9booboboobbo74b5o8bo$464b4obboboo3bo5b
oboo16bo6bo37bo5boo10b3obo3boo15bobbo5bobo8bo3bobbo3bobo70bobboo7bobo$
465boo8bo5b3o12bo11boo3b3o35bo3boo10bobobboboo15bobobboobbobo12bo4bo3b
o72boobo6bobo$466bo6boo8bo11bobo6bo7boobbo34boobboob3o6boboo3bo27bo6b
3obbo4bo88bo$470boo8boobbo10bobo5bo9bo40b3obboo7boobboobo20b3o5bobo5bo
bo4bobbo77bobo$464bobo3bobo6b6o11bo7boo6booboo33bobob3o13bo3boo19boobb
o4b4obo4bo$463boo5boboo5bo5bo19bo6boobo34bobo3bo17bo22bobo5bo87b3o6b3o
$463bobo9boo6bobo19boo3bo3bo34bo6boboo128bo4bobb3o4b3o20bo$459boo4bo5b
oo3bo7boo19boo5boo34booboo3bo3bo16bobo107boo5boob5ob3o19bobo$459bobo3b
oo4boo31boobbo38boobo4boo3bo17boo107bobo3b3o4booboo20bobo$459bo6boo5b
3o10bo18b4obo37bo4bo3b5o16bo120bobo19bo4bo$462bo7boobobo4boobbooboo19b
o39bo4bo6b3o126b3o6bobbo18bobo$462boo7boboo4boo3b5o19boo14boo4boo28b3o
18bobo104b3o7bo21bobo3bo$471bobo7bobboboo19b3o13boboobbobbo16b3o8boo
20boo27b3o76bobob4obbo20bo3bobo$470boob3o7booboo19bobo13boo5bobo17boo
8boo20bo28bo80booboo28bobo$467boo5boo8bo22bobo20boo17b3o60bo79b6o28bo$
467boo3bob3o7bo15boo6bo21bo19boo8bo24bobo26boo113boo3boo$466bobobobo
11boo13boo28boobbobo20booboo25boo27bo3boo107bobbobobbo$465boobboo15bo
14bo20boo6b3o22boo3bo25bo31boo109boo3boo$464b3obb3oboo4boo41boo9bobo
21boboo60boo$464bo5boob3obboo4booboo25bo47bo26bobo23b6o$463booboo5bo6b
obbo29bobo74boo23bobboobo$464bobo46bobo45b3o26bo11boo13bo4bo$465boboob
oob3o5boobbo28bo40boobboo41bobo10bo6bo115boo$465bobb4ob3o7bo71boboboob
o30bobo6bo11bo122bobbo$465boboo86bo3bo34boo9bo7boo3bo119boo$465bobobo
4boo118bo10boobboobobb3o$467bo5boo62bo21bo49bo5bo$461b3obboo6bo27boo
33b3o21bo35bobo9bobo3bo119boo3boo$461bo40bobo20bo10bo9b3o9boo38boo7bob
oo3bo119bobbobobbo$462bo5b5o23boo4bo21bobo9bo3bo3boo11bo40bo7booboo
124boo3boo$464b6o26bobo4bobo18bobbo7bo4bo7bo7bobbobo44bobbo134bo$465b
4o27bo6b3o21bo7bo8boboo9boboo40bobo4bobo132bobo$465boobb5o25bo28bo7bo
bboo4bo10bo45boo4bobboo130bobo$451boo12b3o4b3o24boobobbo22bo8booboo13b
3o44bo141bo$450boo13boo7b3o25b4o20boo13b3o63bo$452bo11bo7bo3bo17boo8bo
bbo11b3obboo15b3o11boobbo45bobo136bo$454boo9bo3boo23bobbo5bob3o14boobo
31bo48boo135bobo$453bo12bobboobbo20bo3b4ob3o12bo5bo81bo136bobo$463b4ob
oobboo22bo6bo21bo218bo$452bobbo7bo5bobo25b5o3b3o11bo5bo$444boo5boobbob
o4bobbo3bo28boobobo9bo6bo4bo4bo34boo34boo70boo70boo$443boo5bo5bobobbob
oo5boboo28bo9b5o4boboboobbobo32bobo33bobo69bobo69bobo$445bo4bobo4b3ob
4o10bo36bobboo5b5obo3bo33bo35bo71bo71bo$447boobbo9boo8bo3bo38boobo5b3o
3bobo$447boo10b3o9boo51bo5bo$460boo10bobobo40bobo$470bobo3bo$469boo5bo
bboo38b3o$469bobbobbo3boo39b3o$466b3o4boo4bo37b6o$466bo13bo$467bo10boo
40bo22bo$472boo4b3o39bo21bobo$471boo6boo39bo21bo3bo$473bobbo66bobb4o$
475b3o36b3o3boo21boobbo$475boo37bo$467boo5boo39bobboo31boo$466boo6boo
42booboo26boboo$468bobbooboo37bo4bo29bo$470boo40b4oboo28boobbo$470boo
40bo25b3o5boboobbo$513boo3bo19bo6bobbobbo$512b6o14b3o6bo3bo3b3o$503boo
6boo19bo6bobbo3boboo$503bobo3boobbo19bo6boboo3bo$503bo5b3o23boo3boboo$
506bo29bo3bobo$506boo32boboo$530b3o3boo6bo$530bobboobbob3obo$531bobbo
bboobo$533boobooboobo$539bobbo$538boobbo!
It is really convenient that this clean fuse can be ignited from either a sideways or a forward glider, which burns slightly differently but with no difference overall. Otherwise I would have had to build a forwards rake.

Building ten beehives from other rakes is a pain, but possible. A smaller fuse probably exists with the same function. It just has to burn faster than c/4, and produce a forward glider to continue the burning onto the next set. As I did here, the path of the forward glider isn't critical since you can use the reaction twice to put a glider back on the original path.

BCNU,
-dbell
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Re: Spaceship Discussion Thread

Post by dbell » March 8th, 2024, 10:54 pm

I reduced the number of still lifes for the diagonal c/4 rake period multiplying mechanism from ten down to eight.

Code: Select all

#C A reaction which period triples a diagonal c/4 period 144 rake.
#C Unseen period 144 rakes create a diagonal fuse composed of a set
#C of 8 still lifes repeating every 36 cells.  A glider from the
#C visible period 144 rake ignites the fuse, which burns faster
#C than c/4 until it is stopped by a pair of sparking spaceships.
#C The result is that one glider from the rake is consumed every 432
#C generations.  Shifting the sparking spaceships forwards by 11
#C cells causes the multiplication factor to be increased by 1.
#C The same method works to multiply the period of other rakes too.
#C David I. Bell, 9 March 2024
x = 1255, y = 1289
bo$obo$oo5$3bo$bbobo$bbobo$3bo3$3boo3boo$bbobbobobbo$3boo3boo3$12boo$
11bobo$12bo6boo4bo$18bobbobbobo$19boo3bobo$25bo$$25bo$24bobo$24bobo$
25bo8$37bo$36bobo$36boo5$39bo$38bobo$38bobo$39bo3$39boo3boo$38bobbobo
bbo$39boo3boo3$48boo$47bobo$48bo6boo4bo$54bobbobbobo$55boo3bobo$61bo$$
61bo$60bobo$60bobo$61bo8$73bo$72bobo$72boo5$75bo$74bobo$74bobo$75bo3$
75boo3boo$74bobbobobbo$75boo3boo3$84boo$83bobo$84bo6boo4bo$90bobbobbob
o$91boo3bobo$97bo$$97bo$96bobo$96bobo$97bo8$109bo$108bobo$108boo5$111b
o$110bobo$110bobo$111bo3$111boo3boo$110bobbobobbo$111boo3boo3$120boo$
119bobo$120bo6boo4bo$126bobbobbobo$127boo3bobo$133bo$$133bo$132bobo$
132bobo$133bo8$145bo$144bobo$144boo5$147bo$146bobo$146bobo$147bo3$147b
oo3boo$146bobbobobbo$147boo3boo3$156boo$155bobo$156bo6boo4bo$162bobbo
bbobo$163boo3bobo$169bo$$169bo$168bobo$168bobo$169bo8$181bo$180bobo$
180boo5$183bo$182bobo$182bobo$183bo3$183boo3boo$182bobbobobbo$183boo3b
oo3$192boo$191bobo$192bo6boo4bo$198bobbobbobo$199boo3bobo$205bo$$205bo
$204bobo$204bobo$205bo8$217bo$216bobo$216boo5$219bo$218bobo$218bobo$
219bo3$219boo3boo$218bobbobobbo$219boo3boo3$228boo$227bobo$228bo6boo4b
o$234bobbobbobo$235boo3bobo$241bo$$241bo$240bobo$240bobo$241bo8$253bo$
252bobo$252boo5$255bo$254bobo$254bobo$255bo3$255boo3boo$254bobbobobbo$
255boo3boo3$264boo$263bobo$264bo6boo4bo$270bobbobbobo$271boo3bobo$277b
o$$277bo$276bobo$276bobo$277bo8$289bo$288bobo$288boo5$291bo$290bobo$
290bobo$291bo3$291boo3boo$290bobbobobbo$291boo3boo3$300boo$299bobo$
300bo6boo4bo$306bobbobbobo$307boo3bobo$313bo$$313bo$312bobo$312bobo$
313bo8$325bo$324bobo$324boo5$327bo$326bobo$326bobo$327bo3$327boo3boo$
326bobbobobbo$327boo3boo3$336boo$335bobo$336bo6boo4bo$342bobbobbobo$
343boo3bobo$349bo$$349bo$348bobo$348bobo$349bo8$361bo$360bobo$360boo5$
363bo$362bobo$362bobo$363bo3$363boo3boo$362bobbobobbo$363boo3boo3$372b
oo$371bobo$372bo6boo4bo$378bobbobbobo$379boo3bobo$385bo$$385bo$384bobo
$384bobo$385bo8$397bo$396bobo$396boo5$399bo$398bobo$398bobo$399bo3$
399boo3boo$398bobbobobbo$399boo3boo3$408boo$407bobo$408bo6boo4bo$414bo
bbobbobo$415boo3bobo$421bo$$421bo$420bobo$420bobo$421bo8$433bo$432bobo
$432boo5$435bo$434bobo$434bobo$435bo3$435boo3boo$434bobbobobbo$435boo
3boo3$444boo$443bobo$444bo6boo4bo$450bobbobbobo$451boo3bobo$457bo$$
457bo$456bobo$456bobo$457bo8$469bo$468bobo$468boo5$471bo$470bobo$470bo
bo$471bo3$471boo3boo$470bobbobobbo$471boo3boo3$480boo$479bobo$480bo6b
oo4bo$486bobbobbobo$487boo3bobo$493bo$$493bo$492bobo$492bobo$493bo8$
505bo$504bobo$504boo5$507bo$506bobo$506bobo$507bo3$507boo3boo$506bobbo
bobbo$507boo3boo3$516boo$515bobo$516bo6boo4bo$522bobbobbobo$523boo3bob
o$529bo$$529bo$528bobo$528bobo$529bo8$541bo$540bobo$540boo5$543bo$542b
obo$542bobo$543bo3$543boo3boo$542bobbobobbo$543boo3boo3$552boo$551bobo
$552bo6boo4bo$558bobbobbobo$559boo3bobo$565bo$$565bo$564bobo$564bobo$
565bo8$577bo$576bobo$576boo5$579bo$578bobo$578bobo$579bo3$579boo3boo$
578bobbobobbo$579boo3boo3$588boo$587bobo$588bo6boo4bo$594bobbobbobo$
595boo3bobo$601bo$$601bo$600bobo$600bobo$601bo8$613bo$612bobo$612boo5$
615bo$614bobo$614bobo$615bo3$615boo3boo$614bobbobobbo$615boo3boo3$624b
oo$623bobo$624bo6boo4bo$630bobbobbobo$631boo3bobo$637bo$$637bo$636bobo
$636bobo$637bo8$649bo$648bobo$648boo5$651bo$650bobo$650bobo$651bo3$
651boo3boo$650bobbobobbo$651boo3boo3$660boo$659bobo$660bo6boo4bo$666bo
bbobbobo$667boo3bobo$673bo$$673bo$672bobo$672bobo$673bo8$685bo$684bobo
$684boo5$687bo$686bobo$686bobo$687bo3$687boo3boo$686bobbobobbo$687boo
3boo3$696boo$695bobo$696bo6boo4bo$702bobbobbobo$703boo3bobo$709bo$$
709bo$708bobo$708bobo$709bo8$721bo$720bobo$720boo5$723bo$722bobo$722bo
bo$723bo3$723boo3boo$722bobbobobbo$723boo3boo3$732boo$731bobo$732bo6b
oo4bo$738bobbobbobo$739boo3bobo$745bo$$745bo$744bobo$744bobo$745bo8$
757bo$756bobo$756boo5$759bo$758bobo$758bobo$759bo3$759boo3boo$758bobbo
bobbo$759boo3boo3$768boo$767bobo$768bo6boo4bo$774bobbobbobo$775boo3bob
o$781bo$$781bo$780bobo$780bobo$781bo8$793bo$792bobo$792boo5$795bo$794b
obo$794bobo$795bo3$795boo3boo$794bobbobobbo$795boo3boo3$804boo$803bobo
$804bo6boo4bo$810bobbobbobo$811boo3bobo$817bo$$817bo$816bobo$816bobo$
817bo8$829bo$828bobo$828boo5$831bo$830bobo$830bobo$831bo3$831boo3boo$
830bobbobobbo$831boo3boo3$840boo$839bobo$840bo6boo4bo$846bobbobbobo$
847boo3bobo$853bo$$853bo$852bobo$852bobo$853bo8$865bo$864bobo$864boo5$
867bo$866bobo$866bobo$867bo3$867boo3boo$866bobbobobbo$867boo3boo3$876b
oo$875bobo$876bo6boo4bo$882bobbobbobo$883boo3bobo$889bo$$889bo$888bobo
$888bobo$889bo8$901bo$900bobo$900boo5$903bo$902bobo$902bobo$903bo3$
903boo3boo$902bobbobobbo$903boo3boo3$912boo$911bobo$912bo6boo4bo$918bo
bbobbobo$919boo3bobo$925bo$$925bo$924bobo$924bobo$925bo8$937bo$936bobo
$936boo5$939bo$938bobo$938bobo$939bo3$939boo3boo$938bobbobobbo$939boo
3boo3$948boo$947bobo$948bo6boo4bo$954bobbobbobo$955boo3bobo$961bo$$
961bo$960bobo$960bobo$961bo8$973bo$972bobo$972boo5$975bo$974bobo$974bo
bo$975bo3$975boo3boo$974bobbobobbo$975boo3boo3$984boo$983bobo$984bo6b
oo4bo$990bobbobbobo$991boo3bobo$997bo$$997bo$996bobo$996bobo$997bo8$
1009bo$1008bobo$1008boo5$1011bo$1010bobo$1010bobo$1011bo3$1011boo3boo$
1010bobbobobbo$1011boo3boo3$1020boo$1019bobo$1020bo6boo4bo$1026bobbobb
obo$1027boo3bobo$1033bo$$1033bo$1032bobo$1032bobo$1033bo8$1045bo$1044b
obo$1044boo5$1047bo$1046bobo$1046bobo$1047bo3$1047boo3boo$1046bobbobo
bbo$1047boo3boo3$1056boo$1055bobo$1056bo6boo4bo$1062bobbobbobo$1063boo
3bobo$1069bo$$1069bo$1068bobo$1068bobo$1069bo8$1081bo$1080bobo$1080boo
5$1083bo$1082bobo$1082bobo$1083bo3$1083boo3boo$1082bobbobobbo$1083boo
3boo3$1092boo$1091bobo$1092bo6boo4bo$1098bobbobbobo$1099boo3bobo$1105b
o$$1105bo$1104bobo$1104bobo$1105bo8$1117bo$1116bobo$1116boo5$1119bo$
1118bobo$1118bobo$1119bo$995bo$994boo$994bob3o120boo3boo$998bo119bobbo
bobbo$993bo125boo3boo$990b4obobobo$990bo5bobbo$991bobb4o130boo$990boo
bboo131bobo$984boo4boo136bo6boo4bo$984bobbobboo142bobbobbobo$974bo3bo
4bobboobbobbo141boo3bobo$973b5obbobo4bobbo150bo$973bo6b3o3bo4boo$971bo
bobb4oboobbo13boo140bo$970b3o3boo17b3ob4o137bobo$970bobbooboo15boo8bo
136bobo$951bo10b3o10bobboo13bobbo6bo137bo$950boo10bo6bo4boo3bo14boo$
926bo17bo5bobo10bobb3oboo3bo4bo10b4o4boo$925b6o12boo20bo4bo7boobo8boo
bbo$925bo7boo8bobo3boobobo11bobobbo6bo3bobb3ob3o$926bo6bobo11bo7boo8b
3o9boo6bo5bo$928bobobbob5o6bo4bo5boo5boo12bo8bo3bo$929bo6bo9bobbobb6o
4boobb3o5boo4boo3boboo$937boo23bobb4o4boo9b3o24b3o139bo$940bo21b3obo3b
oboob9o5bo8bob3o8bo140bobo$940bobo20bo6bobo8bo8boo4b3o15bo137boo$956bo
5boobobo4bo22boobb5o8bobbo$942boboboob3o4boo4bobboo3boo11boo9boob3o3bo
bbo5bo3bo$947bo4boobbobo5b6obo5boo4bo9boo3bobboo3bobboobboo$944bo12b4o
bo5boboob3obbobbo3bo8bo4b4o4boobbo$954bo5boobbobo5b3o4b3obbob3o10bobo
4bobbobo143bo$951bob4o5bobobo10b6o3b4o5boo8bo5bo142bobo$946bo3boo7b3o
4bo3bobo4bobobobboboo3bobboobbo3b3o4boo143bobo$938boo5b3obbo9b3o9bo5b
3obboo6boobbo10b3oboo143bo$937boo5b3o3bo5bobobboboobo11boobb3ob3o3bo8b
oobb6o$939bo4bo11b4o21bo3bobb3obo8booboobobobobo$941boo4bobo11bo20bo9b
oo7bobboo3bo3bo141boo3boo$941boo5bobo6bobb3oboo22bobbobo6boob3o3boo
143bobbobobbo$942bo5bobo7bobbobo21b4o4boob4obobboo149boo3boo$944bobbo
11bo25bo3bo4bobbo5bo$939boobbobbo20bo18bobo5boo$938boobbobboobbo15bobo
196boo$937bo3bo4bo3bo15boo30bo164bobo$937bobb3obboobo48boo165bo6boo4bo
$938bo5bob3o3bo18bo25bobo170bobbobbobo$948bo20bobo199boo3bobo$939boo8b
o20boo28boo175bo$939bobo7bo50boobb3o$942bo7boo23bo28boobo169bo$939bobb
o7boo21bobo26bo4bo101b3o64bobo$939bobo7boo23boo25b3o4bo100bo3boo61bobo
$945b3ob3o49bo5bo104bo64bo$945bo5bo27bo8boo12bobobboo100bo$946bobb3o
25bobo7boo117boobo3bobo$978boo9bo9b3o103boo4bobo$951bobo37boo6booboo
102bo3boo$950b3o30bo7boobboobbob3o102boboo$945booboo3bo27bobo10boobobb
oo98bo5bo$944boo5bo30boo11bo4boo97boo5bo$946bob3o41boo3bo101bob3obb3o
80bo$987bo4boo94b3ob3o3bobo5boo80bobo$985bobo4bo95bobbob3ob4o5boo80boo
$948b3o35boo5booboo93boo4boboo14bo$948bo31bo14bobo87b4o22bobob3o$947bo
boo28boo10bo93bo5bo17boobo5bo$946boobo29bobo7bobo31b3o52boo8boboboo14b
oob8o$946b5o33bo5boo3boo26bobb3o36b3o9boo6bo5b3obo13bo3b4o74bo$945bobb
o33boboo9boo27bobo38bo13bobboobo3bobbo13b3o81bobo$945b3o33boo3b3o6bo
33bo10b3o15b3o6bo13boobbo5bobob3o8bobbo80bobo$947bo30boo6boobbo36bo12b
obb4obbo8bo6bobo13b3obboo5bo7boobbo3bo81bo$946bo30boo5bo44bobo9b3ob4ob
o8bo4boob4o22boboo3boobboo$946bo25boo5bobobobbo4bo30boobo6bo10b3obbobb
oboo6b4ob5oboo5boo12bo7booboo3bo$967boobboo8booboboo3bo7boo20boo3bobbo
bbo17bobbo8boo7boobo3bobboboo4boobooboo3boobboo85boo3boo$967bobo3bo5bo
4bobbo3boboo3bobo14b3o4bobbobbo3bo19boobo21boobobo6boob4o4bo4boo20boo
61bobbobobbo$967bo10bo3bo3boo5boo3boo15bo6bobbobbo3bo22bo22boo6boo3bo
4b3o6boo7boboo8boo63boo3boo$968boo4b3obo3bobboo31bo3bo6bobo23b3o24bobb
3o9bo7bo6boobboo9bobo$968bobbo4boobbo4bobboo25bobbo8boo28bo12bo7bobo
11bo5bo11boo4booboo6boobo$968bo7boobo36bobbo6b3o28b3o4boo5boo4b6obboo
22bo3boo13boobo68boo$970boboboo3bo3b3o31bo5bo3bo31b6oboo5bo3bo6bobo5bo
5boo8bo4bo5b3obboo3bobo67bobo$971boob3oboo3b4o32boboboobo33boobboobobo
bbo3boo5bo6b4o3bo4bo5bo5b8obboo74bo6boo4bo$975bobo5bobo8b3o24boo39boo
bboobo3boboo3bobo3b4obobbob5o9bo7boobobboo80bobbobbobo$970boo5bobo5bo
bbo5b3o28bo36boobb3ob5o3bobo11b3obbo4boo10bo3boo6bo80boo3bobo$973boobb
oo6bo75boo9bobboo7b4o11bobobboobb3obobboboo4bobo87bo$968boo6b6o3bo3bo
18boo4boo6bobbo27boo6bobbobo5bo3boo3boo3boo4bobboboboo3b3o3bobo9bobboo
$968boobobb3o3bobobbo29boo36bobo4bo4bo13bo12bob3o4b3obbo9booboboobbo
87bo$969b4obboboo3bo5boboo16bo6bo37bo5boo10b3obo3boo15bobbo5bobo8bo3bo
bbo3bobo82bobo$970boo8bo5b3o12bo11boo3b3o35bo3boo10bobobboboo15bobobb
oobbobo12bo4bo3bo82bobo$971bo6boo8bo11bobo6bo7boobbo34boobboob3o6boboo
3bo27bo6b3obbo4bo88bo$975boo8boobbo10bobo5bo9bo40b3obboo7boobboobo20b
3o5bobo5bobo4bobbo$969bobo3bobo6b6o11bo7boo6booboo33bobob3o13bo3boo19b
oobbo4b4obo4bo$968boo5boboo5bo5bo19bo6boobo34bobo3bo17bo22bobo5bo132b
oo$968bobo9boo6bobo19boo3bo3bo34bo6boboo166b3o9bobo$964boo4bo5boo3bo7b
oo19boo5boo34booboo3bo3bo16bobo117boobo25bobb3o6bo9bo$964bobo3boo4boo
31boobbo38boobo4boo3bo17boo117bo3bo25bobo16boobo$964bo6boo5b3o10bo18b
4obo37bo4bo3b5o16bo118bo4bo29bo4boobbo3boobbo$967bo7boobobo4boobbooboo
19bo39bo4bo6b3o136boo19bo9bo6boobboboobbo$967boo7boboo4boo3b5o19boo14b
oo4boo28b3o18bobo117bobo15bobo10boboobo3b5o$976bobo7bobboboo19b3o13bob
oobbobbo16b3o8boo20boo27b3o105boo20boo$975boob3o7booboo19bobo13boo5bob
o17boo8boo20bo28bo91boo28bobb6o$972boo5boo8bo22bobo20boo17b3o60bo91bo
bbo26b7o$972boo3bob3o7bo15boo6bo21bo19boo8bo24bobo26boo120b3o$971bobob
obo11boo13boo28boobbobo20booboo25boo27bo3boo82boobbo$970boobboo15bo14b
o20boo6b3o22boo3bo25bo31boo83bo18bo$969b3obb3oboo4boo41boo9bobo21boboo
60boo98bobo$969bo5boob3obboo4booboo25bo47bo26bobo23b6o83b3o14bobo$968b
ooboo5bo6bobbo29bobo74boo23bobboobo100bo$969bobo46bobo45b3o26bo11boo
13bo4bo77bo4boo$970bobooboob3o5boobbo28bo40boobboo41bobo10bo6bo76boo$
970bobb4ob3o7bo71boboboobo30bobo6bo11bo84bobobboo16boo3boo$970boboo86b
o3bo34boo9bo7boo3bo84b3o15bobbobobbo$970bobobo4boo118bo10boobboobobb3o
84bobbo16boo3boo$972bo5boo62bo21bo49bo5bo81boo$966b3obboo6bo27boo33b3o
21bo35bobo9bobo3bo81bobobboo$966bo40bobo20bo10bo9b3o9boo38boo7boboo3bo
82bobboboo27boo$967bo5b5o23boo4bo21bobo9bo3bo3boo11bo40bo7booboo90boo
27bobo$969b6o26bobo4bobo18bobbo7bo4bo7bo7bobbobo44bobbo86bo3b3o28bo6b
oo4bo$970b4o27bo6b3o21bo7bo8boboo9boboo40bobo4bobo77boo5boo3boo35bobbo
bbobo$970boobb5o25bo28bo7bobboo4bo10bo45boo4bobboo74boo5bo43boo3bobo$
956boo12b3o4b3o24boobobbo22bo8booboo13b3o44bo86bo4bobo47bo$955boo13boo
7b3o25b4o20boo13b3o63bo83boobbo$957bo11bo7bo3bo17boo8bobbo11b3obboo15b
3o11boobbo45bobo83boo51bo$959boo9bo3boo23bobbo5bob3o14boobo31bo48boo
135bobo$958bo12bobboobbo20bo3b4ob3o12bo5bo81bo136bobo$968b4oboobboo22b
o6bo21bo218bo$957bobbo7bo5bobo25b5o3b3o11bo5bo$949boo5boobbobo4bobbo3b
o28boobobo9bo6bo4bo4bo34boo34boo70boo70boo$948boo5bo5bobobboboo5boboo
28bo9b5o4boboboobbobo32bobo33bobo69bobo69bobo$950bo4bobo4b3ob4o10bo36b
obboo5b5obo3bo33bo35bo71bo71bo$952boobbo9boo8bo3bo38boobo5b3o3bobo$
952boo10b3o9boo51bo5bo$965boo10bobobo40bobo$975bobo3bo$974boo5bobboo
38b3o$974bobbobbo3boo39b3o$971b3o4boo4bo37b6o$971bo13bo$972bo10boo40bo
22bo$977boo4b3o39bo21bobo$976boo6boo39bo21bo3bo$978bobbo66bobb4o$980b
3o36b3o3boo21boobbo$980boo37bo$972boo5boo39bobboo31boo$971boo6boo42boo
boo26boboo$973bobbooboo37bo4bo29bo$975boo40b4oboo28boobbo$975boo40bo
25b3o5boboobbo$1018boo3bo19bo6bobbobbo$1017b6o14b3o6bo3bo3b3o$1008boo
6boo19bo6bobbo3boboo$1008bobo3boobbo19bo6boboo3bo$1008bo5b3o23boo3bob
oo$1011bo29bo3bobo$1011boo32boboo$1035b3o3boo6bo$1035bobboobbob3obo$
1036bobbobboobo$1038boobooboobo$1044bobbo$1043boobbo!
Edit:

The first four still lifes of the fuse almost perform the required reaction all by themselves.

Code: Select all

#C Four still lives shift a glider by one full diagonal.
x = 30, y = 28
boo$obo$bo6boo4bo$7bobbobbobo$8boo3bobo$14bo$$14bo$13bobo$13bobo$14bo
5$17b3o$17bo$18bo8$27b3o$27bo$28bo!
I'm hoping there is a reaction using three (or maybe just two) still lifes which will shift a glider by one full diagonal. Combining that with the reaction above would be a better fuse using fewer than eight still lives.

The shift doesn't even have to burn at c/4, just not toooo slow.

BCNU,
-dbell
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Re: Spaceship Discussion Thread

Post by dvgrn » March 9th, 2024, 10:21 am

dbell wrote: ↑
March 8th, 2024, 10:54 pm
 I'm hoping there is a reaction using three (or maybe just two) still lifes which will shift a glider by one full diagonal. Combining that with the reaction above would be a better fuse using fewer than eight still lives.

The shift doesn't even have to burn at c/4, just not toooo slow.
There are quite a few such two-still-life shifters known these days. Luckily the 0-degree shifters from the octohash collection are better organized than the others -- see the report here.

Have a look through these RLEs and see if you see anything you like. I forget if there will be mirrored duplicates between the -02 entries and the +02 entries, or not:

Code: Select all

Lane-02,Col-16,T1,38b3b2o$38b3bobo$38b4bobo$38b5bo$38b$38b2o$38bobo$38bbo7$50b3o$50bo$51bo!
Lane-02,Col-12,T0,35bb2o$35bobo6b2o$35bbo7bobo$35b10bo11$50b3o$50bo$51bo!
Lane-02,Col-11,T2,47b2b2o$47b2bo$47bobo$47b2o$47b$47b$47b2bo$47bbobo$47bbo2bo$47b2b2o5$50b3o$50bo$51bo!
Lane-02,Col-10,T1,36b4bo$36b2b3o$36bbo$36bb2o$36b$36b$36bbo$36bobo$36bbobo$36b2b2o5$50b3o$50bo$51bo!
Lane-02,Col-09,T3,34b9b2o$34b9bobo$34b2o8bo$34bobo$34bbobo$34b2bo9$50b3o$50bo$51bo!
Lane-02,Col-07,T1,35b8b2o$35b7bo2bo$35b2bo4bo2bo$35bbobo4b2o$35bo2bo$35bb2o9$50b3o$50bo$51bo!
Lane-02,Col-06,T1,35b8b2o$35bb2o5bobo$35bo2bo5bo$35bobo$35bbo10$50b3o$50bo$51bo!
Lane-02,Col-06,T1,33bb2o$33bobo$33bbo$33b$33b$33b$33b$33b$33b5b2o$33b4bo2bo$33b4bobo$33b5bo3$50b3o$50bo$51bo!
Lane-02,Col-05,T2,36b4bo$36b2b3o$36bbo$36bb2o$36b$36b$36b$36b$36b2o$36bo$36bb3o$36b3bo3$50b3o$50bo$51bo!
Lane-02,Col-04,T0,36b2bo4b2o$36bbobo3bobo$36bobo5bo$36b2o11$50b3o$50bo$51bo!
Lane-02,Col-04,T0,29b8b2o$29b7bobo$29b2b2o3bo$29bbobo2b2o$29bobo$29bbo9$50b3o$50bo$51bo!
Lane-02,Col-03,T3,36b6bo$36b5bobo$36bbo4b2o$36bobo$36bb2o10$50b3o$50bo$51bo!
Lane-02,Col-02,T2,36b5b2o$36b4bo2bo$36b5bobo$36b6bo$36bbo$36bobo$36bo2bo$36bb2o7$50b3o$50bo$51bo!
Lane-02,Col-02,T2,38b8b2o$38b8bobo$38b9bo$38bbo$38bobo$38bobo$38bbo8$50b3o$50bo$51bo!
Lane-02,Col-01,T3,35b5b2o$35b5b2o$35bbo$35bobo$35bbobo$35b2b2o9$50b3o$50bo$51bo!
Lane-02,Col-01,T1,35bb2o$35bobo$35bbo$35b4bo$35b3bobo$35b2bobo$35b2b2o8$50b3o$50bo$51bo!
Lane-02,Col-01,T0,34bb2o$34bbo$34b2b3o$34b4bo$34b$34b$34b$34b2b2o$34b3bo$34b3o$34bo4$50b3o$50bo$51bo!
Lane-02,Col+00,T1,34b2o$34bobo$34bbobo$34b2bo5b2o$34b9bo$34b9bobo$34b10b2o8$50b3o$50bo$51bo!
Lane-02,Col+00,T0,39bb2o$39bb2o$39b$39b$39b$39b$39b$39b2o$39bobo$39b2bo$39b2b2o4$50b3o$50bo$51bo!
Lane-02,Col+01,T2,34b8b2o$34b8bo$34b9b3o$34b11bo$34b2o$34bobo$34bbobo$34b2bo7$50b3o$50bo$51bo!
Lane-02,Col+01,T2,35b8bo$35b7bobo$35b8bo$35b2o$35bobo$35b2bo$35b2b2o8$50b3o$50bo$51bo!
Lane-02,Col+01,T1,37bb2o$37bo2bo$37bo2bo$37bb2o$37b$37b$37b3b2o$37b3b2o7$50b3o$50bo$51bo!
Lane-02,Col+02,T1,34bo9bo$34b3o6bobo$34b3bo6bo$34b2b2o11$50b3o$50bo$51bo!
Lane-02,Col+02,T0,38b2b2o$38b3bo$38b3o$38bo$38b$38b3b2o$38b2bobo$38bbobo$38b2bo6$50b3o$50bo$51bo!
Lane-02,Col+03,T3,33bbo$33bobo$33bb2o$33b$33b$33b$33b4b2o$33b3bo2bo$33b4bobo$33b5bo5$50b3o$50bo$51bo!
Lane-02,Col+03,T3,31b2b2o$31b2bo$31bobo$31b2o$31b$31b5b2o$31b4bo2bo$31b5bobo$31b6bo6$50b3o$50bo$51bo!
Lane+02,Col-44,T3,36b6bo$36b5bobo$36b6b2o$36b$36b$36bb2o$36bo2bo$36bo2bo$36bb2o6$50b3o$50bo$51bo!
Lane+02,Col-18,T1,35b5b2o$35b5bobo$35b6bo$35b2o$35bobo$35bbobo$35b2bo8$50b3o$50bo$51bo!
Lane+02,Col-14,T0,38bbo$38bobo$38b2o$38b$38b$38b$38b$38b$38b$38bb2o$38bbobo$38b2bo3$50b3o$50bo$51bo!
Lane+02,Col-13,T2,26b2b2o$26b3bo3b2o$26b3o3bo2bo$26bo6bobo$26b8bo10$50b3o$50bo$51bo!
Lane+02,Col-12,T1,37b7bo$37b2b2o2bobo$37bbobo3bobo$37bbo6b2o$37b2o10$50b3o$50bo$51bo!
Lane+02,Col-11,T3,39b2b2o$39b2bobo$39b3bobo$39b4bo$39b$39b$39b$39b$39b$39b2o$39bobo$39bbo3$50b3o$50bo$51bo!
Lane+02,Col-09,T1,38b4bo$38b3bobo$38b2bo2bo$38b3b2o$38b$38b$38b$38bb2o$38bo2bo$38bo2bo$38bb2o4$50b3o$50bo$51bo!
Lane+02,Col-08,T1,40bbo$40bobo$40b2o$40b$40b9b2o$40b8bo2bo$40b8bobo$40b9bo7$50b3o$50bo$51bo!
Lane+02,Col-08,T1,38b2b2o$38bbo2bo$38bbobo$38b2bo$38b$38b$38b$38b$38b2o$38bobo$38bbo4$50b3o$50bo$51bo!
Lane+02,Col-07,T2,37b8b2o$37b2b2o4bobo$37bbobo6bo$37bbo8b2o$37b2o10$50b3o$50bo$51bo!
Lane+02,Col-06,T0,44b4bo$44b3bobo$44b2bobo$44b2b2o$44b$44b$44b3bo$44bb3o$44bo$44b2o5$50b3o$50bo$51bo!
Lane+02,Col-06,T0,37b2b2o$37bbobo$37bobo$37bbo$37b$37b$37b$37b2o$37bobo$37bbo5$50b3o$50bo$51bo!
Lane+02,Col-05,T3,37b3bo$37b2bobo$37b3b2o$37b$37b$37bbo$37bobo$37bb2o7$50b3o$50bo$51bo!
Lane+02,Col-04,T2,35b4b2o$35b3bo2bo$35b4b2o$35b$35b$35b$35b$35b$35b2o$35bobo$35bbo4$50b3o$50bo$51bo!
Lane+02,Col-04,T2,37b5b2o$37b4bo2bo$37b5bobo$37b6bo$37bbo$37bobo$37bo2bo$37bb2o7$50b3o$50bo$51bo!
Lane+02,Col-03,T3,38b3bo$38b2bobo$38b3bobo$38b4b2o$38b$38b2o$38b2o8$50b3o$50bo$51bo!
Lane+02,Col-03,T1,38bbo$38bobo$38b2o3b2o$38b4bobo$38b3bobo$38b4bo9$50b3o$50bo$51bo!
Lane+02,Col-03,T0,39b9b2o$39b2o7bo$39bobo4bobo$39b2bo4b2o$39b2b2o10$50b3o$50bo$51bo!
Lane+02,Col-02,T1,39b2o$39bobo$39bbobo$39b2bo$39b$39b$39b$39b$39b3bo$39b3b3o$39b6bo$39b5b2o3$50b3o$50bo$51bo!
Lane+02,Col-02,T0,34b7b2o$34b2o5bo$34b2o6b3o$34b10bo11$50b3o$50bo$51bo!
Lane+02,Col-01,T2,38b3b2o$38b3bo$38b4b3o$38b6bo$38b$38b$38b$38bbo$38bobo$38bbo5$50b3o$50bo$51bo!
Lane+02,Col-01,T2,39b4b2o$39b4bobo$39b5bobo$39b6bo$39b$39b$39b$39b$39b2o$39bobo$39b2bo$39b2b2o3$50b3o$50bo$51bo!
Lane+02,Col-01,T1,36bb2o$36bo2bo$36bo2bo$36bb2o3b2o$36b6b2o10$50b3o$50bo$51bo!
Lane+02,Col+00,T1,39b2o$39bbo$39bbobo$39b2b2o$39b$39b$39b$39b$39b$39bbo$39bobo$39bbo3$50b3o$50bo$51bo!
Lane+02,Col+00,T0,35b2b2o$35b2bo4bo$35bobo3bobo$35b2o3bobo$35b5b2o10$50b3o$50bo$51bo!
Lane+02,Col+01,T3,40bbo$40bobo$40bb2o$40b7bo$40b6bobo$40b6bo2bo$40b7b2o8$50b3o$50bo$51bo!
Lane+02,Col+01,T3,42b2b2o$42b3bo$42b3o$42bo$42b6bo$42b5bobo$42b5bo2bo$42b6b2o7$50b3o$50bo$51bo!
Not sure if you might find something in the larger collection that might replace your four-object speedy turner/shifter, as well -- there haven't been any surveys done for OTTs that can be triggered from multiple directions like that, but presumably if there's something that starts with a beehive collision like that, it has a chance of working in the same way.
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Re: Spaceship Discussion Thread

Post by Timelord Missionary » March 9th, 2024, 2:13 pm

I found that toast can become an engine for a spaceship. The speed would be c/12 diagonal, which is the same speed as corderships, so that’s good, but it does not seem very completable, needing a domino or obo spark on one side and some way to suppress the l-tetronimo on the other side every six generations, and corderships are what? P96?

Code: Select all

x = 8, y = 9, rule = B3/S23
4boo$$6bo$5bobo$2bo$bo2boo$b4o$2b3o$o!
I wonder how closely gliders can be spaced at c/12…
Helloshe, I like pentadecathlons and small-period motifs. I also don’t like how some people say that a hassler can’t be mutually supporting; a better metric would be that if there are any casing stator cells in the object being hassled.
Soli Deo Gloria!
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Re: Spaceship Discussion Thread

Post by dbell » March 10th, 2024, 1:32 am

> There are quite a few such two-still-life shifters known these days.

Thank you Dave for that list! That might come in handy later too.

There are only a couple of items starting with a beehive that shift by one full diagonal, and they can't be started from two directions. So I'll continue to start the fuses with what I have. The two-way ignition reaction was really lucky, I wasn't explicitly looking for it.

I had forgotten to mention that another requirement for the fuses I can use is that the burning has to be stoppable by a sparking spaceship relatively cleanly. That plus the necessary reaction speed weeds out most of the items for my purpose.

Here is one which is pretty good. The total number of still lives in the repeating unit is now down to six.

Code: Select all

#C Six still lives advance a glider by 27 generations on the same path.
x = 27, y = 26
bo$obo$boo4$4boo$3bobbo$4bobo$5bo3boo$8bobo$9bo6boo4bo$15bobbobbobo$
16boo3bobo$22bo$$22bo$21bobo$21bobo$22bo4$24b3o$24bo$25bo!
Since there are fewer still lifes in the unit it is smaller so that I can reduce the period of the rake which uses it. So now I can switch to the diagonal c/4 period 116 rake for my example.

Since 116 is not a multiple of 3, 5, or 7, it can be period multiplied by those values very easily using the filtering spaceships. Multiplying by 9 is pretty boring, so the next interesting case is 11, which we haven't seen until now.

Code: Select all

#C A diagonal c/4 rake having its period of 116 multiplied by 11.
#C Unseen period 116 rakes create a diagonal fuse composed of a set
#C of six still lives repeating every 29 cells.  A glider from the
#C visible period 116 rake ignites the fuse, which burns faster
#C than c/4 until it is stopped by a sparking spaceship.  The result
#C is that one glider from the rake is consumed every 1276 generations.
#C Advancing or retarding the sparking spaceship by 27 generations
#C causes the multiplication factor to be increased or decreased by 1.
#C The same method works to multiply the period of other rakes too.
#C Removing the eater spaceship at the back and deleting the output
#C gliders using a small spaceship creates a block puffer.
#C David I. Bell, 10 March 2024
x = 1313, y = 1335
bo$obo$boo4$4boo$3bobbo$4bobo$5bo3boo$8bobo$9bo6boo4bo$15bobbobbobo$
16boo3bobo$22bo$$22bo$21bobo$21bobo$22bo10$30bo$29bobo$30boo4$33boo$
32bobbo$33bobo$34bo3boo$37bobo$38bo6boo4bo$44bobbobbobo$45boo3bobo$51b
o$$51bo$50bobo$50bobo$51bo10$59bo$58bobo$59boo4$62boo$61bobbo$62bobo$
63bo3boo$66bobo$67bo6boo4bo$73bobbobbobo$74boo3bobo$80bo$$80bo$79bobo$
79bobo$80bo10$88bo$87bobo$88boo4$91boo$90bobbo$91bobo$92bo3boo$95bobo$
96bo6boo4bo$102bobbobbobo$103boo3bobo$109bo$$109bo$108bobo$108bobo$
109bo10$117bo$116bobo$117boo4$120boo$119bobbo$120bobo$121bo3boo$124bob
o$125bo6boo4bo$131bobbobbobo$132boo3bobo$138bo$$138bo$137bobo$137bobo$
138bo10$146bo$145bobo$146boo4$149boo$148bobbo$149bobo$150bo3boo$153bob
o$154bo6boo4bo$160bobbobbobo$161boo3bobo$167bo$$167bo$166bobo$166bobo$
167bo10$175bo$174bobo$175boo4$178boo$177bobbo$178bobo$179bo3boo$182bob
o$183bo6boo4bo$189bobbobbobo$190boo3bobo$196bo$$196bo$195bobo$195bobo$
196bo10$204bo$203bobo$204boo4$207boo$206bobbo$207bobo$208bo3boo$211bob
o$212bo6boo4bo$218bobbobbobo$219boo3bobo$225bo$$225bo$224bobo$224bobo$
225bo10$233bo$232bobo$233boo4$236boo$235bobbo$236bobo$237bo3boo$240bob
o$241bo6boo4bo$247bobbobbobo$248boo3bobo$254bo$$254bo$253bobo$253bobo$
254bo10$262bo$261bobo$262boo4$265boo$264bobbo$265bobo$266bo3boo$269bob
o$270bo6boo4bo$276bobbobbobo$277boo3bobo$283bo$$283bo$282bobo$282bobo$
283bo10$291bo$290bobo$291boo4$294boo$293bobbo$294bobo$295bo3boo$298bob
o$299bo6boo4bo$305bobbobbobo$306boo3bobo$312bo$$312bo$311bobo$311bobo$
312bo10$320bo$319bobo$320boo4$323boo$322bobbo$323bobo$324bo3boo$327bob
o$328bo6boo4bo$334bobbobbobo$335boo3bobo$341bo$$341bo$340bobo$340bobo$
341bo10$349bo$348bobo$349boo4$352boo$351bobbo$352bobo$353bo3boo$356bob
o$357bo6boo4bo$363bobbobbobo$364boo3bobo$370bo$$370bo$369bobo$369bobo$
370bo10$378bo$377bobo$378boo4$381boo$380bobbo$381bobo$382bo3boo$385bob
o$386bo6boo4bo$392bobbobbobo$393boo3bobo$399bo$$399bo$398bobo$398bobo$
399bo10$407bo$406bobo$407boo4$410boo$409bobbo$410bobo$411bo3boo$414bob
o$415bo6boo4bo$421bobbobbobo$422boo3bobo$428bo$$428bo$427bobo$427bobo$
428bo10$436bo$435bobo$436boo4$439boo$438bobbo$439bobo$440bo3boo$443bob
o$444bo6boo4bo$450bobbobbobo$451boo3bobo$457bo$$457bo$456bobo$456bobo$
457bo10$465bo$464bobo$465boo4$468boo$467bobbo$468bobo$469bo3boo$472bob
o$473bo6boo4bo$479bobbobbobo$480boo3bobo$486bo$$486bo$485bobo$485bobo$
486bo10$494bo$493bobo$494boo4$497boo$496bobbo$497bobo$498bo3boo$501bob
o$502bo6boo4bo$508bobbobbobo$509boo3bobo$515bo$$515bo$514bobo$514bobo$
515bo10$523bo$522bobo$523boo4$526boo$525bobbo$526bobo$527bo3boo$530bob
o$531bo6boo4bo$537bobbobbobo$538boo3bobo$544bo$$544bo$543bobo$543bobo$
544bo10$552bo$551bobo$552boo4$555boo$554bobbo$555bobo$556bo3boo$559bob
o$560bo6boo4bo$566bobbobbobo$567boo3bobo$573bo$$573bo$572bobo$572bobo$
573bo10$581bo$580bobo$581boo4$584boo$583bobbo$584bobo$585bo3boo$588bob
o$589bo6boo4bo$595bobbobbobo$596boo3bobo$602bo$$602bo$601bobo$601bobo$
602bo10$610bo$609bobo$610boo4$613boo$612bobbo$613bobo$614bo3boo$617bob
o$618bo6boo4bo$624bobbobbobo$625boo3bobo$631bo$$631bo$630bobo$630bobo$
631bo10$639bo$638bobo$639boo4$642boo$641bobbo$642bobo$643bo3boo$646bob
o$647bo6boo4bo$653bobbobbobo$654boo3bobo$660bo$$660bo$659bobo$659bobo$
660bo10$668bo$667bobo$668boo4$671boo$670bobbo$671bobo$672bo3boo$675bob
o$676bo6boo4bo$682bobbobbobo$683boo3bobo$689bo$$689bo$688bobo$688bobo$
689bo10$697bo$696bobo$697boo4$700boo$699bobbo$700bobo$701bo3boo$704bob
o$705bo6boo4bo$711bobbobbobo$712boo3bobo$718bo$$718bo$717bobo$717bobo$
718bo10$726bo$725bobo$726boo4$729boo$728bobbo$729bobo$730bo3boo$733bob
o$734bo6boo4bo$740bobbobbobo$741boo3bobo$747bo$$747bo$746bobo$746bobo$
747bo10$755bo$754bobo$755boo4$758boo$757bobbo$758bobo$759bo3boo$762bob
o$763bo6boo4bo$769bobbobbobo$770boo3bobo$776bo$$776bo$775bobo$775bobo$
776bo10$784bo$783bobo$784boo4$787boo$786bobbo$787bobo$788bo3boo$791bob
o$792bo6boo4bo$798bobbobbobo$799boo3bobo$805bo$$805bo$804bobo$804bobo$
805bo10$813bo$812bobo$813boo4$816boo$815bobbo$816bobo$817bo3boo$820bob
o$821bo6boo4bo$827bobbobbobo$828boo3bobo$834bo$$834bo$833bobo$833bobo$
834bo10$842bo$841bobo$842boo4$845boo$844bobbo$845bobo$846bo3boo$849bob
o$850bo6boo4bo$856bobbobbobo$857boo3bobo$863bo$$863bo$862bobo$862bobo$
863bo10$871bo$870bobo$871boo4$874boo$873bobbo$874bobo$875bo3boo$878bob
o$879bo6boo4bo$885bobbobbobo$886boo3bobo$892bo$$892bo$891bobo$891bobo$
892bo10$900bo$899bobo$900boo4$903boo$902bobbo$903bobo$904bo3boo$907bob
o$908bo6boo4bo$914bobbobbobo$915boo3bobo$921bo$$921bo$920bobo$920bobo$
921bo10$929bo$928bobo$929boo4$932boo$931bobbo$932bobo$933bo3boo$936bob
o$937bo6boo4bo$943bobbobbobo$944boo3bobo$950bo$$950bo$949bobo$949bobo$
950bo10$958bo$957bobo$958boo4$961boo$960bobbo$961bobo$962bo3boo$965bob
o$966bo6boo4bo$972bobbobbobo$973boo3bobo$979bo$$979bo$978bobo$978bobo$
979bo10$987bo$986bobo$987boo4$990boo$989bobbo$990bobo$991bo3boo$994bob
o$995bo6boo4bo$1001bobbobbobo$1002boo3bobo$1008bo$$1008bo$1007bobo$
1007bobo$1008bo10$1016bo$1015bobo$1016boo4$1019boo$1018bobbo$1019bobo$
1020bo3boo$1023bobo$1024bo6boo4bo$1030bobbobbobo$1031boo3bobo$1037bo$$
1037bo$1036bobo$1036bobo$1037bo10$1045bo$1044bobo$1045boo4$1048boo$
1047bobbo$1048bobo$1049bo3boo$1052bobo$1053bo6boo4bo$1059bobbobbobo$
1060boo3bobo$1066bo$$1066bo$1065bobo$1065bobo$1066bo10$1074bo$1073bobo
$1074boo4$1077boo$1076bobbo$1077bobo$1078bo3boo$1081bobo$1082bo6boo4bo
$1088bobbobbobo$1089boo3bobo$1095bo$$1095bo$1094bobo$1094bobo$1095bo
10$1103bo$1102bobo$1103boo4$1106boo$1105bobbo$1106bobo$1107bo3boo$
1110bobo$1111bo6boo4bo$1117bobbobbobo$1118boo3bobo$1124bo$$1124bo$
1123bobo$1123bobo$1124bo10$1132bo$1131bobo$1132boo4$1135boo$1134bobbo$
1135bobo$1136bo3boo$1139bobo$1140bo6boo4bo$1146bobbobbobo$1147boo3bobo
$1153bo$$1153bo$1152bobo$1152bobo$1153bo10$1161bo$1160bobo$1161boo4$
1164boo$1163bobbo$1164bobo$1165bo3boo$1168bobo$1169bo6boo4bo$1135boo
38bobbobbobo$1135bobo38boo3bobo$1135bo46bo$1138bo$1138boo42bo$1134boo
bboo41bobo$1134bobboo42bobo$1134bob3o43bo$1135bobbo$1134bo$1132b3o$
1131boo$1130boob5o$1129boo$1116b3o9boo3bo$1116bo11bobobo$1117bo5b3oboo
bo$1119boobbobbo3bo59bo$1120bo4bo4bo58bobo$1110bo13boo4bo15b3o41boo$
1099b3o7boo11b5o19bo$1086bo12bo9bob5oboboboobo22bo$1085boo13bo3boo4bob
3obb3obbo26boo$1085bobo14boob3o6boo32boo43boo$1092b3obo6boboob6obobbo
4bo68bobbo$1088boobboobb3obb3obo4boo4bo5boo23bo45bobo$1088boobboo3b4o
4bobob3o3bo6bobo20bo4bo43bo3boo$1089boo6bo4boboo9bo16b3o9b3obobo46bobo
$1089b4obo3bo3boboo3bo17boo3bobb3o5booboo50bo6boo4bo$1088boboboobo7b3o
3bob3o12bobbo6boo4boo60bobbobbobo$1087boo8boobbo3bo5boobboob3o4bo3bo
11boo62boo3bobo$1087bobobb3o4boo3b3o8boo5b6obbobo9boo67bo$1086bo17boo
12boobo4bo10bo3boo$1087boo8bobbo8boo19boo3boo3b3o68bo$1093booboobbo8bo
bo13bo4bobbobbobbo70bobo$1093bobo13bo12b3o9b3o3bobo4boo61bobo$1092bobb
oobbo3boo5bobo10bobo6b3o7boo3bobo61bo$1092b3o7boo4bo35boo$1092booboobo
5bobbo4b3o27bob4o$1093bo12boo12bo22boobbo$1093bo3bo8boo6boboboobo$
1093bo3bo9bo8bobbobo$1094boobo8boo10boo$1094bo7b4obobbo$1095bo5boobobo
bo7boo$1095bo7bo4b3o5boo5boo$1092boo3bo20bo3boo95bo$1092bobobboo9bo9b
oo3bo94bobo$1092bo24bo4boo95boo$1097b3o6boo10bo92bo$1097b3o6bobboo6bo
92b5o$1096bo8bob3o8bobbo88bobboo$1097bobobbobboo12bo92boobo6boo$1098b
oo4bo116bobbo$1099b3o4boo107bobo4bobo$1102boo4bo15boo97bo3boo$1108boo
13boo83b3o6b3o6bobo$1098bo5boobboboo6boo4bobo76bo4bobb3o4b3o6bo6boo4bo
$1089boo6boo3boobboboo7boo5boobo74boo5boob5ob3o12bobbobbobo$1089bobo5b
obobbobobb3o9bo5bobo74bobo3b3o4booboo14boo3bobo$1089bo11bobbo16boobbob
o86bobo23bo$1093b3o5bo3boo14b4obbo76b3o6bobbo$1091boob4o11bo13boobboo
74b3o7bo26bo$1091b3o4bo3bo13boo6bo4bo75bobob4obbo23bobo$1087b3o5boobo
5bo10boo3b3oboo3bo77booboo27bobo$1087bobbo4b3o7b3obbo6bob4obbobo79b6o
27bo$1081b3o4boboobooboo11bobo13bo$1077boobbo9booboboo3boo5booboo6bo3b
obbobo$1076boo4bo8boo5bobboo5boobbo6bo3bo4bo$1077bobo4boob3o3bo3bo4bob
oo3booboo10bo$1077b3o5booboobo3bobbo10booboo$1077boo10bo5boo7boo6boo$
1079bobo5boboo4bo15boo5boo$1082bobo4boobbobbo20bo$1081boo4b3obbo3bo9b
3o$1080boboboobobo3bo154bo$1084bobbo7boo9bobbob3o6bo126bobo$1079boo13b
3o15boo3bo3bo126boo$1078b3obbo6boobb3o11bo5bo36boo$1081boobo5bobo6boo
8boob3o7bo27boo$1078bo3boboobobo6boboo12bobbo6bo22boo4bobo$1079bo7bo
10bo13bobo4bobo22boo5boobo96boo$1080boo7bo5bobboo10bo9bo25bo5bobo95bo
bbo$1080bo4b4o5bo4bo11b3o34boobbobo96bobo$1078b3o3booboo5bobb4o47b4obb
o97bo3boo$1078bo8boo5bobo3bo49boobboo99bobo$1078bobo7boboo8boo41boo6bo
4bo99bo6boo4bo$1074boo4bo5boobboo7boo41boo3b3oboo3bo105bobbobbobo$
1073boo5bobo3bobboo9bo43bob4obbobo108boo3bobo$1075bo4b3obbobbobo9b3o
49bo116bo$1077boo6boo3bo3b3obbo3bo42bo3bobbobo$1077boo7bobo5bo3bo47bo
3bo4bo113bo$1086bo3bo4bo39boo14bo116bobo$1085boobobo7booboo31bobbo130b
obo$1082b3oboo11bo35bobo131bo$1081bo4bobbobo6boo36bo$1080boobobobbobo
8boo$1079bo3bo3boo11bo$1079bobo6bobobb3o4b3o$1082bobobo3bobbo5bo47boo$
1078booboo4boo5bo4bo46b3o26bo$1078boo3bo3boo7boo38boo9bo4bo21boo$1079b
ooboobbobobo6bo38boo13bo17bo4bobo$1079boo5bobobo6bo43boo8bo16boo$1079b
oobo5bo51boo26bobo5boboo97bo$1082bo5b3o51bo4bo27boo99bobo$1077bo4bo5bo
45boo12bo22boobboo100boo$1076boo3boo5boo44boo10b3o22boobboo$1076bobo3b
5o58bo21bo4boo4boo$1080boo3boo58bo3bo16b4obb4o4bo$1079bo6bo59boobo16bo
bb3o3b3o102boo$1086boo60bo19bo9bo100bobbo$1079bo4b3obbo79b5obbo103bobo
$1065b3o11bobbobbo87bo4boo101bo3boo$1065bo13bobbo4bobobo82boo108bobo$
1066bo12bobo9bo193bo6boo4bo$1068boo10bo3b3o204bobbobbobo$1069bo11boo3b
3o203boo3bobo$1078b6obb3o54boo153bo$1066boo3bo5boobbobbobbo54boo$1058b
3o5boobbobo4bo6boboo49boo4bobo152bo$1058bo6bobo3bobb3o3bo55boo5boobo
150bobo$1059bo4boo6b3o4bo6boobo48bo5bobo150bobo$1061b4obo19boo52boobbo
bo151bo$1062boo10bo11b3obo49b4obbo$1074bobo10bobbo51boobboo35boo56boo
56boo$1084boobbobboo42boo6bo4bo6boobo23bobo55bobo55bobo$1084boo4boobb
oo38boo3b3oboo3bo6bo3bo24bo57bo57bo$1082boboobb3obbo42bob4obbobo8bo4bo
$1081b3o4boo4bo49bo12boo$1081bobo9bobo42bo3bobbobo11bobo131boobbo$
1093bo44bo3bo4bo144boo5bo$1086b3o54bo17boo130bobo3b4o$1086bo6bobo66bo
bbo127boob4o$1087bobb3o79bo120b3o4bobo$1089bobbo68boobbo4bobbo123bo$
1092bo68bo9boo124b5o$1081b3o203boobobboobboobbobbo$1081bo9bo70b3o121b
oo3bob3o4b4obo$1082bobb6o196bobbo3boo4boo$1084bo73bo4boo122bobbobboo3b
3o$1085boo70boo128bo9bo$1157bobobboo114b3o14bo4bo$1161b3o114bobb4obo8b
o4boo$1160bobbo115b3ob4obo$1155boo124b3obbobo6boobo4bo$1155bobobboo
133bo5boo$1155bobboboo126bo3b3o6bobbo$1159boo126boo3bo10bo$1154bo3b3o
132bo8boo$1146boo5boo3boo139boo$1145boo5bo145boo$1147bo4bobo145bobo$
1149boobbo146boo3bo$1149boo149bo3boo$1300bo3bobo$1300bo$1304b5o$1301b
ooboobb3o$1309bo$1303bo3boboboo$1304bo$1305boboo!
Maybe a specialised search could reduce the still life unit even more. But this fuse is pretty good now, I'm almost tempted to try to build a complete rake using it.

BCNU,
-dbell
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amling
Posts: 725
Joined: April 2nd, 2020, 9:47 pm

Re: Spaceship Discussion Thread

Post by amling » March 11th, 2024, 2:00 pm

amling wrote: ↑
March 8th, 2024, 1:17 am
 This partial for a c/4d perturbation of such a loaf into a sideways loaf is pretty good:

Code: Select all

x = 24, y = 23, rule = B3/S23
21bo$20bobo$19bo2bo$20b2o$12bob2o$10b3ob2obobo$10bo3b2o3bo$10bo6bobo$
11bo4b2o$3o4b5o3b2obobo$o4b2o4bob2o4bobo$bo3bo2b2obobobo$3bobo6b2obobo
bobo$2b3ob3obo5b2ob2ob2o$8bobob3o2bo2bobo$bo2bo7bobo2b2o2bo$2bo4bobobo
2b2obo2bo$2bo2bo4b4obob2ob2o$3bo2b2obob2o2b2ob2ob2o$3b2obo2bo2bo2bo2bo
2bobo$3bo3b2o4bo4bo3bo$2b2o3b2obo2bob4ob3o$2b2ob2o3bo2bo4b2obo!
Actual solution still eludes me but it's surely good enough to include sideways loaf as candidate input object for further active-region-from-single-still-life searches.
Solved, a c/4d max clearance converter of one loaf orientation (the common one we can make from backwards glider) to a sideways loaf:

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 55, y = 118, rule = B3/S23
19bo$18bobo$17bo2bo$18b2o3$24bo$23bobo$22bo2bo$23b2o3$30bo$29bobo$28bo
2bo$29b2o2$35bo$34bobo$33bo2bo$34b2o$39bo$28b2o8bobo$28bobo6bo2bo$22bo
5bo9b2o$21b2o9b2obo$21bobo8b2o3bo$28b3o2bo3bo$24b2o2b2o4b2obo$24b2o2b
2o3bobo$25b2o5b2obo2b2o$25b2ob2o2b2obo2b3o$2bo21bobob2o2b3o2bo2bo$b2o
20b2o3bo2b3o4bo2bo$bobo19bobo2bo3bobo3bobo$22bo4b2obo8bo$3b3o9b2o6b2o
2b2ob2obobo$2b3o10bobo11bo6bobob2o$4bobo8bo11b2obo2b4o$6b3o9bo4b2o3bob
o4b2o$6b3o9b2o2bobo3bob3o3bo2bo$9bo12bo2bo3b2o6bobo$6bo2bo11bo2b3obob
4o2bobo$5bo3bo5b2o4bo2b3obo2bob2o2b3o$b2ob2o3bo4bo3b2obo2b2o7b2ob2o$2o
7bo3bo4b2o3bo2bo3bo2bo4bo$2bob2o2bo4bo2bo14b3o$8bo5b4o2b2o4bo$5bobo7bo
6bob2o7bo$6bo8bo4b2o11bobo4b2o$5bo9bob2o12b2obobo3bobo$4bobo19b2ob2o4b
o4bo$4bobo19bo3bob2obo2b2o$3bo22bob2o3b2o3bo$3b2o32bo$3b2o27bo4bo$31bo
4bo$31bo2bobob2o$27b3o4bobo3bo$27bo2b3o5b3o$28bo3bob5ob2o$38bobo$34bo$
34bo$33bo$36b3o$30b3o3bo$29b2ob3o3bo$31bobo4bo$34bo2bo$37bo$30b2ob2obo
$29b2o5bo$30bobobo$30bobobo$30bo3bo$30bo4bo$30bo2bo$36bo$30bobob2obo$
29bo4b2obo$29bo2b3ob2obo$29bobo2bob2ob2o$39b2o$35b2o2b3o$35b3o$34bo$
29b3o3bo2bo$29bo4b2obo3bo$30bo3b2obo3bo$33bo3bo2bo$34bobo$36bo$34b3o2$
37b2o$36b3o$35b4obo$33b2o6b2o$33b2o5b2o$33bobo2bob2o7b2o$33b5o2bo7b2ob
o$33b2o3bo2b2o5bo$33b3obo3bo4b2obo$34bo3b2ob4ob3obo$40bob3o$38b2o4bo3b
o$42bo7bo$49b3o$40bobo5bo$40b2o5b2o$40bobo3bo5b3o$37b2obobo2bobobo2bob
o$36b2ob2ob3o2bo$38bob2obo2bo$44bobo$48bo$47bobo!
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dbell
Posts: 291
Joined: June 27th, 2013, 12:47 am
Contact:
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Re: Spaceship Discussion Thread

Post by dbell » March 12th, 2024, 1:36 am

Here is a synthesis for one unit of my recent fuse. (Actually, I had to stretch it out by one cell but that doesn't really matter.)

Code: Select all

#C A synthesis of a fuse used to period multiply diagonal c/4 rakes.
#C This uses 17 sideways gliders, only one backward glider, and no
#C forward gliders making it easy to build using a fleet of diagonal
#C c/4 rakes.  The gliders only interact in pairs so that the synthesis
#C can be staged to leave room between the rakes.
#C David I. Bell, 12 March 2024
x = 374, y = 370
371bobo$371boo$372bo25$349bo$348bo$348b3o53$96bo$97bo$95b3o36$268bo$
267bo$267b3o13$250bo$249bo$249b3o6$220bobo$220boo$221bo19$186bo$185bo$
185b3o6$170bo$170bobo$170boo5$186bo$185bo$185b3o$$161b3o$163bo$162bo3$
178b3o$180bo$179bo5$159boo$158bobo$160bo22$138boo$137bobo$139bo25$141b
oo$140bobo$142bo42$92b3o$94bo$93bo44$38boo$37bobo$39bo16$23boo$22bobo$
24bo11$boo$obo$bbo!
This was a bit painful to find, limiting myself to almost all sideways gliders and having a close fit between the components.

I guess having this many rakes isn't too bad, so I can proceed to build a complete multi-period rake soon. But first maybe someone can try to remove one or more gliders from the recipe.

BCNU,
-dbell
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confocaloid
Posts: 3066
Joined: February 8th, 2022, 3:15 pm

Re: Spaceship Discussion Thread

Post by confocaloid » March 12th, 2024, 3:29 am

Possibly counts as a minor improvement (18 sideways gliders, no backward gliders, and no forward gliders):

Code: Select all

x = 487, y = 79, rule = B3/S23
83bobo$83b2o$84bo4$485bo$484bo$484b3o13$49bo$48bo$48b3o6$33bo$33bobo
104bo99bo99bo99bo$33b2o104bobo97bobo97bobo97bobo$140b2o98b2o98b2o98b2o
2$463bo$461b2o$49bo93b2o98b2o98b2o98b2o17b2o$48bo93bo2bo96bo2bo16bo79b
o2bo96bo2bo$48b3o92bobo97bobo15bo81bobo97bobo$144bo26bo72bo16b3o80bo
99bo$24b3o144bobo$26bo144b2o$25bo436bo$359b2o90bo9bobo$358bobo90b2o8bo
bo$41b3o315bo90bobo9bo$43bo221b2o98b2o$42bo212bo8bo2bo96bo2bo94bo$255b
2o7bobo97bobo94bobo$254bobo8bo99bo95bobo$462bo2$22b2o$21bobo131b3o$23b
o133bo$156bo2$350b2o$349bobo$351bo2$436bo$436b2o$435bobo11$414bo$414b
2o$b2o410bobo$obo$2bo!
There is also this one-glider seed for the loaf+boat part, which might lead to a cheaper construction:

Code: Select all

x = 21, y = 33, rule = B3/S23
16bo$16bobo$16b2o10$2b2o$bo2bo$2b2o3$bo3b2o$obo2b2o$obo$bo4$19bo$18bob
o$18bobo$19bo2$19bo$18bobo$18bobo$19bo!
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Sokwe
Moderator
Posts: 2688
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » March 12th, 2024, 4:38 am

amling wrote: ↑
March 11th, 2024, 2:00 pm
 Solved, a c/4d max clearance converter of one loaf orientation (the common one we can make from backwards glider) to a sideways loaf:

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 55, y = 118, rule = B3/S23
19bo$18bobo$17bo2bo$18b2o3$24bo$23bobo$22bo2bo$23b2o3$30bo$29bobo$28bo
2bo$29b2o2$35bo$34bobo$33bo2bo$34b2o$39bo$28b2o8bobo$28bobo6bo2bo$22bo
5bo9b2o$21b2o9b2obo$21bobo8b2o3bo$28b3o2bo3bo$24b2o2b2o4b2obo$24b2o2b
2o3bobo$25b2o5b2obo2b2o$25b2ob2o2b2obo2b3o$2bo21bobob2o2b3o2bo2bo$b2o
20b2o3bo2b3o4bo2bo$bobo19bobo2bo3bobo3bobo$22bo4b2obo8bo$3b3o9b2o6b2o
2b2ob2obobo$2b3o10bobo11bo6bobob2o$4bobo8bo11b2obo2b4o$6b3o9bo4b2o3bob
o4b2o$6b3o9b2o2bobo3bob3o3bo2bo$9bo12bo2bo3b2o6bobo$6bo2bo11bo2b3obob
4o2bobo$5bo3bo5b2o4bo2b3obo2bob2o2b3o$b2ob2o3bo4bo3b2obo2b2o7b2ob2o$2o
7bo3bo4b2o3bo2bo3bo2bo4bo$2bob2o2bo4bo2bo14b3o$8bo5b4o2b2o4bo$5bobo7bo
6bob2o7bo$6bo8bo4b2o11bobo4b2o$5bo9bob2o12b2obobo3bobo$4bobo19b2ob2o4b
o4bo$4bobo19bo3bob2obo2b2o$3bo22bob2o3b2o3bo$3b2o32bo$3b2o27bo4bo$31bo
4bo$31bo2bobob2o$27b3o4bobo3bo$27bo2b3o5b3o$28bo3bob5ob2o$38bobo$34bo$
34bo$33bo$36b3o$30b3o3bo$29b2ob3o3bo$31bobo4bo$34bo2bo$37bo$30b2ob2obo
$29b2o5bo$30bobobo$30bobobo$30bo3bo$30bo4bo$30bo2bo$36bo$30bobob2obo$
29bo4b2obo$29bo2b3ob2obo$29bobo2bob2ob2o$39b2o$35b2o2b3o$35b3o$34bo$
29b3o3bo2bo$29bo4b2obo3bo$30bo3b2obo3bo$33bo3bo2bo$34bobo$36bo$34b3o2$
37b2o$36b3o$35b4obo$33b2o6b2o$33b2o5b2o$33bobo2bob2o7b2o$33b5o2bo7b2ob
o$33b2o3bo2b2o5bo$33b3obo3bo4b2obo$34bo3b2ob4ob3obo$40bob3o$38b2o4bo3b
o$42bo7bo$49b3o$40bobo5bo$40b2o5b2o$40bobo3bo5b3o$37b2obobo2bobobo2bob
o$36b2ob2ob3o2bo$38bob2obo2bo$44bobo$48bo$47bobo!
Excellent! Here is a way (using a known sparker modified to improve clearance) to move the sideways loaf while throwing off a small spark:

Code: Select all

#C [[ ZOOM 6 TRACK -1/4 -1/4 ]]
x = 67, y = 52, rule = B3/S23
b2o$o2bo$bobo$2bo5$9b2o$8bo2bo19b2o$9bobo18b2o$10bo21bo$34b2o$14b2o17b
o$13bo2bo$14bobo15bo2bo25b2o$15bo13b2obo28bobo$28b2o4bo26bo$30bobo2bo
6bo21bo$35bo5b2o18bo2b3o$32bo2bo5bobo16b2obo$33bobo25b2ob3o$33bobo8b2o
$34b2o7b4o13bo$34bo5bobo16bob2obo$38b3o2bo12bob2obobo$38bo3b2o8b2ob3ob
ob2o$38bobo10b2o7b2o$39b2o4b2o6bob2o3b2o$39bo6b2o$46b2o5bo$48bo2bo2bo$
48b4o2bo$51bo6b2o$48b2o7b2o3bo$50bo8bob2o$45bo15b3o$44b5o12bo$44bo2b2o
14b3o$56b2obo4b2o$46b2o2bo5bob2o3bobo$56bob2o3b3o$48bobo6bo5b3o$57b2o
4bobo$50b3o4b2o2b2o$58bobo$52bobo3b2o3bo$58b4o$54bobo$56b4o$56b4o$57b
2o!
Can a sparker be added to the other side to get anything interesting from this reaction?
-Matthias Merzenich
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dbell
Posts: 291
Joined: June 27th, 2013, 12:47 am
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Re: Spaceship Discussion Thread

Post by dbell » March 12th, 2024, 5:30 am

> Can a sparker be added to the other side to get anything interesting from this reaction?

YES!

Code: Select all

#C A loaf animation reaction producing a sideways glider.
x = 84, y = 91
boo18b3o$obbo17bo$bobo18bo$bbo21boo$25bo$$22bo29boo$19b4obo26boo$19bo
4bo28bo$20bo4boo5boo21bo$22bobb3o4bobo16b6o$26boo4bo18bobbo$23booboo7b
o15b6o$24boboo6bobbo14bo3bo$24bobo7bobbo13boo$25boo4b3obbo12boob3o$29b
obobbo11boobbo3bo$28boob4o7b3ob3obo$29boboo9bo5bobo$29bobo4b3o4bo7boo$
9boo19boo13bo$8boo27bobo$bboo5bo29bobb4o$boo5boo29booboo$3bo4bobobboo
27bo5b3o$5boo3boob4o23boo6bobb3o$5boo10bo22bo8bobo$17bo17boobo15bo$11b
o23bo3bo12bo$13boo3boo15bo3bo14bobo$18b4o15bobo7boobo6bo21boo$17bo4bo
23boo3bobbobbo21bobo$12bo4bo4bo15bobo6bobbobbo3bo21bo$11boo3boo29bobbo
bbo3bo24bo$11bobo3bo22boo5bo6bobo25boo$15b5o10bo11bo9boo28boo$15b4o10b
oo12boo6b3o27boo$15boo5bo6bobo16bo3bo27boo$16bo3boo22boboboobo26boobbo
$23bo6boboo12boo8bo18bobb3o$24b3ob4obobo14bo4boo17boo$25boboobbo3bo19b
obo16bobo$24bobboo6b3o5boobbobbo18b3o3bo$19boo3bobo10bo4bobbo11b3o9bo
6bobbo$18boo3bobbo10b3o3bobo10b3o11bo4bo$20bo3bo14bo4bo13bobo11boboo3b
o$18boo3bo15b3o18b6o5b5o$18boo12boobo4boo18b7obobo$32boboo3bobo24boo3b
obo$19boo5boo4boboo3b3o28bobo$17bo7boo6bo5b3o$13bobb5o5bobo4boo4bobo$
8boobbobo4bobo4b3o4boobboo$8bobobo4bo8boo6bobo$8bo3bo15bobo3boo3bo$14b
ooboo15b4o$11bo18bobo$11booboo16b4o$32b4o$33boo4b3o$39bobb3o$40bobo$
45bo$43bo$45bobo$38boobo6bo$37boo3bobbobbo$31b3o4bobbobbo3bo$31bo6bobb
obbo3bo$34bo3bo6bobo$31bobbo8boo$32bobbo6b3o$33bo5bo3bo6boo$35boboboob
o6boo3bo$37boo12boboo$41bo11b3o$53bo$38bobbo13b3o$48boobo4boo$48boboo
3bobo$42boo4boboo3b3o$41boo6bo5b3o$42bobo4boo4bobo$42b3o4boobboo$42boo
6bobo$44bobo3boo3bo$50b4o$46bobo$48b4o$48b4o$49boo!
That new edge sparking spaceship is great. There are probably many nice uses for it.

EDIT:

And here is a duplicator.

Code: Select all

#C A diagonal c/4 convoy replicates a loaf and creates a sideways glider.
#C Two copies of the convoy are shown here producing two gliders.
#C The minimum repeat time of this reaction is 20 generations.
x = 97, y = 101
boo$obbo18b3o$bobo18bo$bbo20bo$25boo$26bo$$23bo29boo$20b4obo26boo$20bo
4bo28bo$21bo4boo5boo21bo$23bobb3o4bobo16b6o$27boo4bo18bobbo$24booboo7b
o15b6o$25boboo6bobbo14bo3bo$25bobo7bobbo13boo$26boo4b3obbo12boob3o$30b
obobbo11boobbo3bo$29boob4o7b3ob3obo$30boboo9bo5bobo$30bobo4b3o4bo7boo$
31boo13bo$38bobo$40bobb4o$40booboo$43bo5b3o$41boo6bobb3o$41bo8bobo$36b
oobo15bo$36bo3bo12bo$36bo3bo14bobo$38bobo7boobo6bo$47boo3bobbobbo$39bo
bo6bobbobbo3bo$48bobbobbo3bo$41boo5bo6bobo$43bo9boo$44boo6b3o6boo$49bo
3bo6boo$45boboboobo9bo$47boo15boo$51bo11bo$$44boobbobbo10bobbo25boo$
43bobbo12boobo28bobo$44bobo11boo4bo26bo$45bo14bobobbo6bo21bo$36boo27bo
5boo18bobb3o$35boo3bo21bobbo5bobo16boobo$37boboo22bobo25boob3o$39b3o
21bobo8boo$39bo24boo7b4o13bo$41b3o20bo5bobo16boboobo$34boobo4boo24b3o
bbo12boboobobo$34boboo3bobo24bo3boo8boob3oboboo$28boo4boboo3b3o24bobo
10boo7boo$27boo6bo5b3o25boo4boo6boboo3boo$28bobo4boo4bobo25bo6boo$28b
3o4boobboo35boo5bo$28boo6bobo39bobbobbo$30bobo3boo3bo36b4obbo$36b4o41b
o6boo$32bobo43boo7boo3bo$34b4o42bo8boboo$34b4o37bo15b3o$35boo37b5o12bo
$74bobboo14b3o$86boobo4boo$76boobbo5boboo3bobo$86boboo3b3o$78bobo6bo5b
3o$87boo4bobo$80b3o4boobboo$88bobo$82bobo3boo3bo$88b4o$84bobo$86b4o$
86b4o$87boo4$74boobo$74bo3bo$74bo4bo$76boo$78bobo$$73bo6boo$72b5o4bobb
o$66boo4bo6boo$66bobo11bo$66bo5boboo6bobo$67boo4bo4bobo$67bobbo6b3o$
67bo6booboo$69bobobobbo$$71bo4bo$72b4o!
EDIT 2:

As a recap, here is the complete sequence from a backward glider to a delayed sideways glider.

Code: Select all

#C Diagonal c/4 convoys turn a backward glider into a loaf and later animate it.
#C The timing and diagonal displacement of the output glider can be adjusted.
x = 141, y = 149
bo$bbo$3o$33bo$32boo$32bobo$$35boo$35boobb3o$39boobo$37bo4bo$36b3o4bo$
36bo5bo$23boo12bobobboo$22boo$24bo9b3o$26boo6booboo$26boobboobbob3o$
29boobobboo$30bo4boo$27boo3bo$27boo$27bo$28booboo$30bobo28$43bo$42boo$
42bobo$35b3o9boo$35bo9bob3o29boo$36bo6bo5b4o25boo$38boobboo4boo30bo$
39bo42boo$43bo3boo5bo26bo$39boobobbob3ob3o$38bobobo11bo25bobbo25boo$
15b3o20bobobo3bo5b3o22boobo28bobo$15bo21bo4boboboo4b3o21boo4bo26bo$18b
o18boobboobobboo29bobobbo6bo21bo$15bobbo11bo6boo5booboo7bo26bo5boo18bo
bb3o$16bobbo9boo11bobbo3bo3boo25bobbo5bobo16boobo$17bo11bobo10bobboob
3ob3o26bobo25boob3o$19bobo11bo5bobo3boo4b3o27bobo8boo$21boo9bo3b3o4bo
bbo5boo28boo7b4o13bo$22bo9bo3boo5bo6boo30bo5bobo16boboobo$21boo15boobo
bobbo5bo33b3obbo12boboobobo$20b3o7bo4boobbo5b3o3boo33bo3boo8boob3obob
oo$15boobooboo6b4obo8bobobobo3bo32bobo10boo7boo$15bo3boboo4boobobo5boo
4bobo4bo35boo4boo6boboo3boo$15bob3obbo4boobo6b4o4boo5bo13boo19bo6boo$
20boo7bob4obob3o7boo16bobo25boo5bo$19b3o10b3o24boo5bo29bobbobbo$29b3ob
ooboo9boobo4bo3bobo3boobbo26b4obbo$30boo14bo3bo3boo3bo11bo27bo6boo$18b
3o20bobooboobboobbobo5bo3boo3b3o22boo7boo3bo$18b3o19boobooboobb4o8boo
4boo4bo23bo8boboo$40bobo7bo17b7o18bo15b3o$17boo29b3o18b4o19b5o12bo$17b
o28b5o25bo15bobboo14b3o$46boobbo24b4o25boobo4boo23bo$46boobboboo25bo
14boobbo5boboo3bobo22boo$42boobbobob3obo19b6o24boboo3b3o22bobo$41boobb
4o4bo14b3o3boboo18bobo6bo5b3o$43bo4b3o3bo13bo5bobo28boo4bobo25boo$51b
oobobo12bobbooboo21b3o4boobboo28boo$48booboobobo14bo14b3o17bobo$48b4o
22bo3bo7bo13bobo3boo3bo25boo$51bo20boo4bobo8bo16b4o26bobbo$47boobboo
25bo7bo4bo10bobo30boobo$44boo4bobbo26b3o4b3o14b4o4b3o16b3o$44bobbooboo
30boboo5bobo10b4o4bo18bo$44bobobb3o32bo8bo11boo8bo11boo3bo$49bobo24boo
3b3o10bo17bobbo10boo5boboo$49boo25bobobboo12bo17bobbo11bo5b3o$44boobb
3o25bo4bo13bobo16bo15bob4o$44bobobo30bobo34bobobboo6bobboo$44bo3boo25b
oo13bo6boo19boobobbo3boo$45boobobo24boo12b5o4bobbo22bobob3o$45boobo27b
oo5boo4bo6boo26bobo$45bobbobo23bo8bobo11bo21bobo$45boo27b4o5bo5boboo6b
obo$45boo4bo14bobb3obo4bo5boo4bo4bobo$46boboobo13boobbob4o3bo5bobbo6b
3o$44boobbobboo12bobobobobbo9bo6booboo$43b5o3bobo15b3obboo10bobobobbo$
43bo4bobbobbo13boobo$47bobbobbo15boboo15bo4bo$54bo34b4o$49boo3boo41boo
$49booboboo40boo3bo$44boo3bobbobo43boboo$43boo6boboo45b3o$45bobboob4o
45bo$48boo3boo47b3o$48bobo44boobo4boo$49boo44boboo3bobo$48boo39boo4bob
oo3b3o$88boo6bo5b3o$89bobo4boo4bobo$50b4o35b3o4boobboo$49bo5bo33boo6bo
bo$48bo6bo35bobo3boo3bo4boobo$47boobo3boo41b4o6bo3bo$46bobbobbo10boo
28bobo11bo4bo$49boboobo8bobo29b4o10boo$46bobo3boobo7bobo29b4o12bobo$
48b3o3boobo3bo34boo$52boobbo3b4obo40bo6boo$48bo4bo3bobo5bo39b5o4bobbo$
49bobboo3bo3b3o35boo4bo6boo$99bobo11bo$55bobo5boo34bo5boboo6bobo$54bo
8boobo33boo4bo4bobo$54boo6bobbo34bobbo6b3o$60boob6o31bo6booboo$51boobb
oo3booboo3bo33bobobobbo$51bobb3obbo$51bobo4b3o43bo4bo$58boo45b4o$62bo$
61bobo$61bobo!
EDIT 3:

When duplicating a loaf this could be used to stop the chain. I don't think there was a loaf eater for this orientation before, they look so much alike.

Code: Select all

#C A diagonal c/4 convoy which deletes a loaf.
x = 52, y = 63
15b3o$15bo$16bo$18boo$19bo$$boo13bo29boo$obbo9b4obo26boo$bobo9bo4bo28b
o$bbo11bo4boo5boo21bo$16bobb3o4bobo16b6o$20boo4bo18bobbo$17booboo7bo
15b6o$18boboo6bobbo14bo3bo$18bobo7bobbo13boo$19boo4b3obbo12boob3o$23bo
bobbo11boobbo3bo$22boob4o7b3ob3obo$23boboo9bo5bobo$23bobo4b3o4bo7boo$
24boo13bo$31bobo$33bobb4o$33booboo$36bo5b3o$34boo6bobb3o$34bo8bobo$29b
oobo15bo$29bo3bo12bo$29bo3bo14bobo$31bobo7boobo6bo$40boo3bobbobbo$32bo
bo6bobbobbo3bo$41bobbobbo3bo$34boo5bo6bobo$36bo9boo$37boo6b3o$42bo3bo$
38boboboobo$27boo11boo$26boo16bo$27bobo$27b3o7boobbobbo$27boo7bobbo$
29bobo5bobo$38bo$31bobo$33b3o$33bo$32bo$27boboobo4bo$26booboobo$26bobo
4bo$31boo$31bo3bo$30bo3bo$$30bobbo$29boobo$29bo$28boo$28bo$29bo!
BCNU,
-dbell
Last edited by dbell on March 12th, 2024, 7:17 am, edited 1 time in total.
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Sokwe
Moderator
Posts: 2688
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » March 12th, 2024, 7:14 am

dbell wrote: ↑
March 12th, 2024, 5:30 am
 And here is a duplicator.

Code: Select all

#C A diagonal c/4 convoy replicates a loaf and creates a sideways glider.
#C Two copies of the convoy are shown here producing two gliders.
#C The minimum repeat time of this reaction is 20 generations.
x = 97, y = 101
boo$obbo18b3o$bobo18bo$bbo20bo$25boo$26bo$$23bo29boo$20b4obo26boo$20bo
4bo28bo$21bo4boo5boo21bo$23bobb3o4bobo16b6o$27boo4bo18bobbo$24booboo7b
o15b6o$25boboo6bobbo14bo3bo$25bobo7bobbo13boo$26boo4b3obbo12boob3o$30b
obobbo11boobbo3bo$29boob4o7b3ob3obo$30boboo9bo5bobo$30bobo4b3o4bo7boo$
31boo13bo$38bobo$40bobb4o$40booboo$43bo5b3o$41boo6bobb3o$41bo8bobo$36b
oobo15bo$36bo3bo12bo$36bo3bo14bobo$38bobo7boobo6bo$47boo3bobbobbo$39bo
bo6bobbobbo3bo$48bobbobbo3bo$41boo5bo6bobo$43bo9boo$44boo6b3o6boo$49bo
3bo6boo$45boboboobo9bo$47boo15boo$51bo11bo$$44boobbobbo10bobbo25boo$
43bobbo12boobo28bobo$44bobo11boo4bo26bo$45bo14bobobbo6bo21bo$36boo27bo
5boo18bobb3o$35boo3bo21bobbo5bobo16boobo$37boboo22bobo25boob3o$39b3o
21bobo8boo$39bo24boo7b4o13bo$41b3o20bo5bobo16boboobo$34boobo4boo24b3o
bbo12boboobobo$34boboo3bobo24bo3boo8boob3oboboo$28boo4boboo3b3o24bobo
10boo7boo$27boo6bo5b3o25boo4boo6boboo3boo$28bobo4boo4bobo25bo6boo$28b
3o4boobboo35boo5bo$28boo6bobo39bobbobbo$30bobo3boo3bo36b4obbo$36b4o41b
o6boo$32bobo43boo7boo3bo$34b4o42bo8boboo$34b4o37bo15b3o$35boo37b5o12bo
$74bobboo14b3o$86boobo4boo$76boobbo5boboo3bobo$86boboo3b3o$78bobo6bo5b
3o$87boo4bobo$80b3o4boobboo$88bobo$82bobo3boo3bo$88b4o$84bobo$86b4o$
86b4o$87boo4$74boobo$74bo3bo$74bo4bo$76boo$78bobo$$73bo6boo$72b5o4bobb
o$66boo4bo6boo$66bobo11bo$66bo5boboo6bobo$67boo4bo4bobo$67bobbo6b3o$
67bo6booboo$69bobobobbo$$71bo4bo$72b4o!
Incredibly elegant!
dbell wrote: ↑
March 12th, 2024, 5:30 am
 As a recap, here is the complete sequence from a backward glider to a delayed sideways glider.

Code: Select all

#C Diagonal c/4 convoys turn a backward glider into a loaf and later animate it.
#C The timing and diagonal displacement of the output glider can be adjusted.
...
This works for a p28 glider stream, while your duplicator works down to p20. An alternate placement of one of the sparkers allows the loaf to be deleted, giving the following clean backwards-to-forwards glider duplicator/reflector (shown with extra loaf shift):

Code: Select all

#C A c/4 diagonal backwards-to-sideways glider duplicator/reflector.
#C The minimum repeat time of this reaction is 20 generations.
#C Components by David Bell, Keith Amling, and Matthias Merzenich
x = 233, y = 225, rule = B3/S23
2bo$obo$b2o16$20bo$18bobo$19b2o8$30bo$28bobo$29b2o6$66b2o$65b2o$40bo
26bo$38bobo28b2o$39b2o27bo5bo$72b2obo$73bo3bo$69b2o2b3o$69b2obo$57bo
13bo3bo$56b2o11b2o5b2o$56bobo10b3o$60bo7bob2o$59bo3b2ob2obo2bo$59bo3b
2ob3o$65bob2o$61bo2bo4bo$61b3o$60bo2bo$61bobobo$66bo$62bo3bo$82b2o$82b
obo$82bo$85bo$85b2o$85b2o$84b2o27bo$80b2ob2o27b2o$80bo4bo26bobo$80bob
4o$84b2o6b3o17bobob2o$84b2o6bo19b2o2b2o$84b2o7bo17bo2bobo$86bo8b2o$85b
2o7b2o2bo$85bo7bo4bo11b3obobo$86bo3b4o16b2o2bo$88b2o2b2o9b2ob3o5bo$91b
o3b2o6bo3bo3b2o$90b2o11bob2obo2bo$90bo6b2o$91bo6bo$103b3o$72b2o25b2ob
4o$72bobo24b2o8b2obo$66bo5bo27bo2bo5bo3bo$65b2o9b2obo29bo4bo$65bobo8b
2o3bo18bobo8b2o$72b3o2bo3bo13b3o15bobo$68b2o2b2o4b2obo13bo2b2o$68b2o2b
2o3bobo16bobo2bo6bo6b2o$69b2o5b2obo2b2o14b2obo5b5o4bo2bo$69b2ob2o2b2ob
o2b3o14b2o6bo6b2o$68bobob2o2b3o2bo2bo14bo15bo$67b2o3bo2b3o4bo2bo15b2o
4bob2o6bobo$67bobo2bo3bobo3bobo23bo4bobo$66bo4b2obo8bo18bobo7b3o6bo$
59b2o6b2o2b2ob2obobo29b2ob2o6b2o$52bo6bobo11bo6bobob2o18bobobo2bo8bobo
$51b2o6bo11b2obo2b4o$51bobo8bo4b2o3bobo4b2o25bo4bo11b2o$62b2o2bobo3bob
3o3bo2bo23b4o12b2o$54b2o10bo2bo3b2o6bobo$54b2o9bo2b3obob4o2bobo36bob2o
27b3o$59b2o4bo2b3obo2bob2o2b3o34b4o28bo$45bo6b2o4bo3b2obo2b2o7b2ob2o
36bo3b2o27bo$44b2o5bo2bo2bo4b2o3bo2bo3bo2bo4bo13bo26bo2bo4b2o21b2o$44b
obo3b2obo3bo2bo14b3o17b5o30b2o18b3o2bo$48bo9b4o2b2o4bo24bo2b2o22b2o3bo
4bo16bo$47bo11bo6bob2o7bo19b2obo21b2o3bo22bo2bobo$47bo2bo8bo4b2o11bobo
4b2o37bo9b3o17bobo$59bob2o12b2obobo3bobo13bobo20bo7bob4o12bo$70b2ob2o
4bo4bo39b2o3b6o13b2obobo$70bo3bob2obo2b2o9b3o6b3o22b2o4b2o7bob2o3bo3bo
$70bob2o3b2o3bo5bo4bo2b3o4b3o21b2o4bo7b2ob2obob2o$81bo5b2o5b2ob5ob3o
22bo7bo4bobo3bobo$76bo4bo5bobo3b3o4b2ob2o23bo7bo13bo$75bo4bo18bobo27b
2o4bo$75bo2bobob2o5b3o6bo2bo35bo4bobo$71b3o4bobo3bo3b3o7bo39bob2obo$
71bo2b3o5b3o5bobob4o2bo37b2o8bo$72bo3bob5ob2o6b2ob2o41bo2b2o4b5o$82bob
o7b6o41b2o6bo2b2o$78bo59b3o8b2obo$78bo55b2o2bo$77bo55b2o2b2o13bobo$80b
3o52bo2b2o$74b3o3bo56bo7b3o6b3o$73b2ob3o3bo54b2o6bo2b3o4b3o$75bobo4bo
63b2ob5ob3o$78bo2bo56b3o4b3o4b2ob2o$81bo58bo10bobo$74b2ob2obo59b3o7bo
2bo$73b2o5bo61bo7bo7b3o$74bobobo63b3ob4o2bo5bo$74bobobo65b2ob2o10bo$
74bo3bo65b6o11b2o$74bo4bo82bo$74bo2bo$80bo78bo29b2o$74bobob2obo74b4obo
26b2o$73bo4b2obo74bo4bo28bo$73bo2b3ob2obo73bo4b2o5b2o21bo$73bobo2bob2o
b2o74bo2b3o4bobo16b6o$83b2o78b2o4bo18bo2bo$79b2o2b3o74b2ob2o7bo15b6o$
79b3o79bob2o6bo2bo14bo3bo$78bo82bobo7bo2bo13b2o$73b3o3bo2bo79b2o4b3o2b
o12b2ob3o$73bo4b2obo3bo80bobo2bo11b2o2bo3bo$74bo3b2obo3bo79b2ob4o7b3ob
3obo$77bo3bo2bo81bob2o9bo5bobo$78bobo85bobo4b3o4bo7b2o$80bo86b2o13bo$
78b3o93bobo$176bo2b4o$81b2o93b2ob2o$80b3o96bo5b3o$79b4obo92b2o6bo2b3o$
77b2o6b2o90bo8bobo$77b2o5b2o86b2obo15bo$77bobo2bob2o7b2o77bo3bo12bo$
77b5o2bo7b2obo76bo3bo14bobo$77b2o3bo2b2o5bo81bobo7b2obo6bo$77b3obo3bo
4b2obo89b2o3bo2bo2bo$78bo3b2ob4ob3obo80bobo6bo2bo2bo3bo$84bob3o95bo2bo
2bo3bo$82b2o4bo3bo84b2o5bo6bobo$86bo7bo84bo9b2o$93b3o84b2o6b3o6b2o$84b
obo5bo92bo3bo6b2o$84b2o5b2o88bobob2obo9bo$84bobo3bo5b3o84b2o15b2o$81b
2obobo2bobobo2bobo88bo11bo$80b2ob2ob3o2bo$82bob2obo2bo93bo2bo10bo2bo
25b2o$88bobo104b2obo28bobo$92bo101b2o4bo26bo$91bobo102bobo2bo6bo21bo$
172b2o27bo5b2o18bo2b3o$171b2o3bo21bo2bo5bobo16b2obo$173bob2o22bobo25b
2ob3o$175b3o21bobo8b2o$175bo24b2o7b4o13bo$177b3o20bo5bobo16bob2obo$
170b2obo4b2o24b3o2bo12bob2obobo$170bob2o3bobo24bo3b2o8b2ob3obob2o$164b
2o4bob2o3b3o24bobo10b2o7b2o$163b2o6bo5b3o25b2o4b2o6bob2o3b2o$164bobo4b
2o4bobo25bo6b2o$164b3o4b2o2b2o35b2o5bo$164b2o6bobo39bo2bo2bo$166bobo3b
2o3bo36b4o2bo$172b4o41bo6b2o$168bobo43b2o7b2o3bo$170b4o42bo8bob2o$170b
4o37bo15b3o$171b2o37b5o12bo$210bo2b2o14b3o$222b2obo4b2o$212b2o2bo5bob
2o3bobo$222bob2o3b3o$214bobo6bo5b3o$223b2o4bobo$216b3o4b2o2b2o$224bobo
$218bobo3b2o3bo$224b4o$220bobo$207b2obo11b4o$207bo3bo10b4o$207bo4bo10b
2o$209b2o$211bobo2$206bo6b2o$205b5o4bo2bo$199b2o4bo6b2o$199bobo11bo$
199bo5bob2o6bobo$200b2o4bo4bobo$200bo2bo6b3o$200bo6b2ob2o$202bobobo2bo
2$204bo4bo$205b4o!
Edit: The spark that animates the sideways loaf can also animate a ship in a particular orientation, and this reaction creates lumps of muck in the exact same location as in David Bell's first loaf-to-glider converter, giving a ship-to-glider converter that works at p28:

Code: Select all

#C c/4 diagonal ship-to-glider converter
#C Based on a loaf-to-glider converter by David Bell
x = 93, y = 87, rule = B3/S23
2o$obo$b2o3$25b3o$25bo$7b2o17bo$7bobo18b2o$8b2o19bo2$26bo29b2o$23b4obo
26b2o$23bo4bo28bo$24bo4b2o5b2o21bo$26bo2b3o4bobo16b6o$30b2o4bo18bo2bo$
27b2ob2o7bo15b6o$28bob2o6bo2bo14bo3bo$28bobo7bo2bo13b2o$29b2o4b3o2bo
12b2ob3o$33bobo2bo11b2o2bo3bo$32b2ob4o7b3ob3obo$33bob2o9bo5bobo$33bobo
4b3o4bo7b2o$34b2o13bo$41bobo$43bo2b4o$43b2ob2o$46bo5b3o$44b2o6bo2b3o$
44bo8bobo$39b2obo15bo$39bo3bo12bo$39bo3bo14bobo10bo$41bobo7b2obo6bo8b
5o$50b2o3bo2bo2bo8bo2b2o$42bobo6bo2bo2bo3bo10b2obo$51bo2bo2bo3bo$44b2o
5bo6bobo14bobo$46bo9b2o$47b2o6b3o10b3o6b3o$52bo3bo6bo4bo2b3o4b3o$48bob
ob2obo6b2o5b2ob5ob3o$50b2o10bobo3b3o4b2ob2o$54bo19bobo6b3o$64b3o6bo2bo
6bo2b3o$47b2o2bo2bo8b3o7bo10bobo$47bobo15bobob4o2bo13bo$48b2o17b2ob2o
15bo$67b6o16bobo$82b2obo6bo$81b2o3bo2bo2bo$75b3o4bo2bo2bo3bo$75bo6bo2b
o2bo3bo$78bo3bo6bobo$75bo2bo8b2o$76bo2bo6b3o$43b2obo30bo5bo3bo$43bo3bo
31bobob2obo$43bo4bo32b2o$45b2o38bo$47bobo$82bo2bo$49b2o$50bo2bo2$49b2o
2bo$49bo2$50b3o2$46bo4b2o$45b2o$45bobo2b2o$49b3o$48bo2bo$43b2o$43bobo
2b2o$43bo2bob2o$47b2o$42bo3b3o$34b2o5b2o3b2o$33b2o5bo$35bo4bobo$37b2o
2bo$37b2o!
Now if we get a loaf (two possible orientations) or ship (one orientation) puffer of sufficient period, we can construct a rake. Unfortunately, I think the only such puffers we have are at periods where we already have rakes.

Edit 2:
amling wrote: ↑
February 25th, 2024, 4:31 am
 Here is a first (for me) successful perturbation by edge repair ship, a c/4d ship hitting a loaf and turning it into a small active region which on its own becomes a blinker. I'm hoping having an actual full ship will make it easier for someone to hopefully find some way to stoke that active region into something bigger, e.g. something releasing a glider.

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 55, y = 77, rule = B3/S23
35bo$34bobo$33bo2bo$34b2o7$33b3o$33bo$3bo30bo$2b2o32bo3bo$2bobo30b3obo
2bo$9b3o25bobo2bo$5b2o2bo13bo2bo7bo4bo$5b2o3bo11b2o2b2o7b2o2bob2o$12b
3o3b2obo4bo2bo4bo3b2o3bo$bob2o8b5obobobo2b2ob4obo3b2o5bo$4o11bo4bo2b3o
bob4obo3b2o4bobo$o3b2o10b2o2b3ob2obob3o2bo3b2o2bobobo$5bo2bo5bo5b2o16b
5o$13bo4b4o4b3o3b2o2b3o3bo$4b2o3bo2b2o5bo22b3o$4b2o3bo3b2o$5bo4b2o27b
6o$5bo28b2obob3o4bo$6b2o25b2o3b5o3bo$34bob2o8bo$29b3o2b3o8bob2obo$29bo
16bo3bo$30bo3b2o5b2ob3o$32b2o4b2ob2o$33b7o8bo$32b3o4bobob2o2bo2bo$28b
2ob2o2bobobob2o3bo3bo$28bo4b2o14bobo$28bob3o5bob2obo$32bo3b2o3bo2b2o4b
3o$25b2o5bo10bo5bo$24b2o5b2o10bo3bo4bo$26bo3b4o10b4o$28bo15b2o4bo$11bo
16b2o3bo14bo$10b2o11b2o6bob2o11bo$10bobo10bobo2b2o16bo3b3o$23bo3bo25bo
$13b2o11b2ob3o14b2obo$13b2o12bobobobo12b2o2b2obo$27b4o2bo13bo$4bo6b2o
3bo9b3o2bo18b3o$3b2o5bo2bobob2o7bobo14bob2o4bo$3bobo3b2obo3b3o7bo15b5o
b2o2bo$7bo10b3o2b2o17bo6bobo$6bo13b2o2bo21bo2bo$6bo2bo10b2o2bo21bobo$
46bo$47bo3bo$46bobo2bo$46bo2b3o$51bo2$51b2o$51b2o$50b2o$47bo$46b5o2b2o
$46bo2b2o$48b3o3$47b3o$47b3o2$46b2o$46bo!
Shockingly, this can also turn a beehive into a ship with the correct orientation for the ship-to-glider reaction:

Code: Select all

#C c/4 diagonal beehive-to-ship-to-glider converter
#C Components by Keith Amling, David Bell, and Matthias Merzenich
x = 113, y = 85, rule = B3/S23
26b2o19b2o$25bo2bo17b2o$26b2o20bo$50b2o$49bo2$48bo2bo25b2o$33b2o10b2ob
o28bobo$32bo2bo8b2o4bo26bo$33b2o11bobo2bo6bo21bo$51bo5b2o18bo2b3o$48bo
2bo5bobo16b2obo$49bobo25b2ob3o$49bobo8b2o$50b2o7b4o13bo$50bo5bobo16bob
2obo$54b3o2bo12bob2obobo$34b2o18bo3b2o8b2ob3obob2o$34bobo17bobo10b2o7b
2o$34bo20b2o4b2o6bob2o3b2o$3b2o32bo17bo6b2o$2b2o33b3obo20b2o5bo$4bo5b
2o24bobobobo21bo2bo2bo$6b2o2bobo22b2obo4bo20b4o2bo$5bo4bo12b4obo11bob
2o23bo6b2o$13bo4b2o2bo3bob2o4bo4bobob2o19b2o7b2o3bo$4bo2bo5b2o2bo2bobo
bobob2o3bo5bo2bobo21bo8bob2o$b2obo12bo7bobobo3bo4b2o2bo2b2o14bo15b3o$
2o4bo9bo3bo2bo3bobo3bo2bob2o2bob2o14b5o12bo$2bobo2bo9bo2bo6bob2o6bo5bo
16bo2b2o14b3o$7bo6b7o6bob4obo3b3o31b2obo4b2o9b3o$4bo2bo5b2o12bobob3o4b
3o2b2o17b2o2bo5bob2o3bobo9bo2b3o$5bobo4bo6b2o17b3obo29bob2o3b3o10bobo$
5bobo3b4o24b2obo21bobo6bo5b3o15bo$6b2o3bo23bo4bo32b2o4bobo13bo$6bo27b
2o7b4o19b3o4b2o2b2o18bobo$34bob7o2bo2bo25bobo13b2obo6bo$30b2o4b2ob4o2b
o3bo18bobo3b2o3bo9b2o3bo2bo2bo$30bobo7b2o3b2o2bo24b4o5b3o4bo2bo2bo3bo$
30bo3b2ob2o3b4o3bo20bobo10bo6bo2bo2bo3bo$33b2o6bo4b2o24b4o10bo3bo6bobo
5b2o$34b4o8b2o24b4o7bo2bo8b2o7b2o3bo$37bobo2bobo28b2o9bo2bo6b3o9bob2o$
31bo4bob2o2bob2o3b2o34bo5bo3bo12b3o$28b4obobo3bo2bobo4b2obo34bobob2obo
13bo$28bo3bob2o2b3o9b2o37b2o19b3o$29bo2bo2bo2bo4bobo5bo41bo9b2obo4b2o$
26bo14bo3bo5bobo49bob2o3bobo$25b2o5b3o7bo7b2o38bo2bo3b2o4bob2o3b3o$25b
obo4b3o9bo2b3o46b2o6bo5b3o$31bobo10bo3bo48bobo4b2o4bobo$28b2ob2o12bobo
49b3o4b2o2b2o$11b2o15b2o17bo49b2o6bobo$10b2o11b3o3bo2b2obo16b2o11bo33b
obo3b2o3bo$12bo10bo10bo12b2o15b5o36b4o$14b2o8bo2b2o18bob3o2bo9bo2b2o
32bobo$13bo13b3ob3o13bobobobo12b2obo33b4o$32bo16b2obo50b4o$12bo2bo15b
2o14b2o2bo17bobo32b2o$4b2o5b2o2bob2o7b3o17bo2bob2o$3b2o5bo5bo9bo16b2ob
o3bo20b3o$5bo4bobo5bobo7bo13b2o6bo21b3o$7b2o2bo10b3o19bobo5bo16b6o$7b
2o11bo2bo2bo23b2o$22bo23b2ob2o21bo$72bo$46b2obo22bo$47bo2bob2o$48bobo
15b3o3b2o$66bo$51bo15bo2b2o$52b2o16b2ob2o$51bo13bo4bo$51b3o10b4ob2o$
47b2o4bo10bo$46b2o3b2o12b2o3bo$48bob3o11b6o$50b2o3b2o6b2o$49b2o4bobo3b
2o2bo$49b2o4bo5b3o$48bobo7bo$47b2o9b2o$47bobo$46bo$47b2o!
This gives a clean p28 rake using praosylen's variant of Hartmut Holzwart's original puffer:

Code: Select all

#C c/4 diagonal p28 rake
#C Constructed by Matthias Merzenich using components by Keith Amling,
#C David Bell, Hartmut Holzwart, and "praosylen"
#C [[ TRACK -1/4 -1/4 ]]
x = 113, y = 115, rule = B3/S23
56b2o$55b2o$49b2o5bo$48b2o5b2o31b2o$50bo4bobo2b2o25b2o$52b2o3b2ob4o25b
o$52b2o10bo26b2o$64bo25bo$42bo15bo$41b5o5b2o7b2o27bo2bo$41bo2b2o5bobo
8bo18b2o5b2o$9bob3o29b2obo4bo10bo17b2o5bo$7bobo44bo5bo21bo4bobo$6b2o2b
2o2bo31bobo5b2o3b3o22b2o2bo$2o5b2o3bo2bo38b2o2bo2bo22b2o$obo3bobo4bo2b
o22b3o6b3o4b2o31bo$o6bo6b2o3bo14bo4bo2b3o4b3o3bobo29bobo$3bo3bo9b4o4b
4o4b2o5b2ob5ob3o3bobo30b2o$3b2o12b2ob6ob3o3bobo3b3o4b2ob2o3bo4bo28b3o$
17bo7b2o18bobo6b2o3b2o29bo$14b3o4b2obo10b3o6bo2bo8b4o30b3o$14bo19b3o7b
o9b2ob3o31b2o$15bo11bo2bo5bobob4o2bo6bo3bo$26bo3bo7b2ob2o9b2ob2o24b3o
6bo$26bo3bob3o3b6o12b2o19bo3bo8b3o$26bobo3bobo21b2o18b2o4bo$32bob2o16b
4o3bo16bobo5bo2b3o$16b2o16b2o17bob3obo23b5o$16bobo12b2ob2o23bo12b3o4b
2obo3b3o$16bo14b2ob2o2bo15b4o8b2o4bo7bobob3o$19bo9b2o3b2o3bo15b3o8bobo
5bo3bo5bobo$19b2o7b2o4bo3bo16b3o8bo5bobo2b2o2bo2b2obo$19b2o8b2ob3o3b3o
14b2o2bo9bob2ob5o$18b2o6b5ob2o12b2o11bo4bo4b3obo4bob2o3b2o$14b2ob2o6b
2o3bob2o12bobo3bob4o5b4obob2obo7bo$14bo4bo7bob2o15bo3bo2bo9bo2bobobobo
$14bob4o10bo18b2o2bo5bo5b2o3bo4bo$18b2o30b2o7bo3bobo4bobo2bo$18b2o5b2o
3bo23b6o4bo4b2o3bo$18b2o5bo3b2obo17b9o3b3o4b4o$20bo4bobo3bo13bo3bo8bo
3b3o9bo$19b2o3b2obo16bobo6bo4bo3b3o3b2ob2ob2o$19bo24bobo3b2obo3b4obobo
3b2o2bo16b2o$20bo24bo8bo5bobo8bo2bob2o10b2o$36b2o18b2o2bobo5bo2bo3bo2b
2o9bo$35b2o18bo10bobo6bo2b2o8b2o$29b2o5bo19b2o5b3ob2o3bo5bo2b2ob2o2b2o
b3ob2o6b2o6b2o$28b2o5b2o29bo4bo5b2o5b3o7bo7b2o4b2obo$30bo4bobo2b2o9b2o
13bo3bo9bo8bo2bo2bo7bobo2b2o$32b2o3b2ob4o7bobo19bo2bo7bo4b3o4bo6b3o2b
2o$32b2o10bo7b2o12b2o3b2o2bo3bo2bo2bobo8bo4bob3o$44bo28bobo6bo2bob2obo
3b4ob3o$38bo36bobo4bo4bobo9b2o$40b2o3b2o36bobo17bo$45b4o54bo2b2o$44bo
4bo8b2o46bobo$39bo4bo4bo8bobo45bo$38b2o3b2o14b2o48bo$38bobo3bo64b2o$
42b5o10bo51b2o$42b4o10b2o50b2o$42b2o5bo6bobo48b2o$43bo3b2o16b2o38b2o2b
o$50bo6bob2o4bobo15bo18bo2b3o$51b3ob4obobo3b2o14b2o17b2o$52bob2o2bo3bo
19bobo16bobo$51bo2b2o6b3o31b3o3bo$46b2o3bobo10bo19b3o9bo6bo2bo$45b2o3b
o2bo10b3o5bo10b3o11bo4bo$47bo3bo14bo5b3o10bobo11bob2o3bo$45b2o3bo15b3o
3b4o11b6o5b5o$45b2o12b2obo4b2o4bo2bo10b7obobo$59bob2o3bobo5b2o17b2o3bo
bo$46b2o5b2o4bob2o3b3o5bo22bobo$44bo7b2o6bo5b3o$40bo2b5o5bobo4b2o4bobo
11b2o$35b2o2bobo4bobo4b3o4b2o2b2o15bo$35bobobo4bo8b2o6bobo14bo2bo$35bo
3bo15bobo3b2o3bo8b2o3bo6b2o$41b2ob2o15b4o10bo3bo$38bo18bobo18bo4b2o4bo
$38b2ob2o16b4o21bo4bo$59b4o20bo$60b2o4b3o5bobo6b2o2bo$66bo2b3o3b2o7b3o
$67bobo$72bo21bo$70bo22bo2bo$72bobo14bo7bo12b2o$65b2obo6bo8bo12bo11bob
o$64b2o3bo2bo2bo8bo4bo3b3obo13bo$58b3o4bo2bo2bo3bo15bo$58bo6bo2bo2bo3b
o$61bo3bo6bobo$58bo2bo8b2o18bo$59bo2bo6b3o19bo$60bo5bo3bo6b2o11b2o$62b
obob2obo6b2o3bo5bob2o$64b2o12bob2o5b3o$68bo11b3o5bo$80bo$65bo2bo13b3o$
75b2obo4b2o$75bob2o3bobo$69b2o4bob2o3b3o$68b2o6bo5b3o$69bobo4b2o4bobo$
69b3o4b2o2b2o$69b2o6bobo$71bobo3b2o3bo$77b4o$73bobo$75b4o$75b4o$76b2o!
Rakes of periods 32, 36, and 40 are also possible based on the following previously known beehive puffers:

Code: Select all

x = 271, y = 75, rule = B3/S23
123bo$122b2o$122bobo$124bo$125bo$122bob2o$12bo110bo48bo$8b3ob3o153b3ob
3o$7b2o4bo110b2obo39b2o4bo$7bo4bo104b3o3b2o3bo38bo4bo$3o6bo2bob3o100bo
2b5o4bo30b3o6bo2bob3o$o6bo10bo15bo65b2o16b2ob2o3b2o32bo6bo10bo15bo$bo
4b2obo5bo3bo7bo5b2o65bobo14b3o41bo4b2obo5bo3bo7bo5b2o22b2o8b2o$3b4obo
10b2o3b2obobo3bobo64bo62b4obo10b2o3b2obobo3bobo9b3o8b2o9bobo$4b2o10bo
2b3o2b2ob2obo72bo24bo35b2o10bo2b3o2b2ob2obo14bo12bo8bobo$15bo2bob2obo
3b3o5b3o5b3o57b2o5b3o4b2ob2o5b2o46bo2bob2obo3b3o5b3o8bo13bo7b3o$15bo
11b2o5b3o5b2o2b2o55b2o5bo2b3o2b2o7bobo45bo11b2o5b3o11bo11b2o6bobo$15bo
bo18bobob2o2b4o54b2o8bo10bo51bobo18bobo8b2ob3ob2o3b3o6b3o$38b2ob3o54b
2ob2o8b2o5bo3b5o71b6o2bo5bo4b2o9b2o$26b6o2bo3b10o50bo4bo7b2o2b2o4bob2o
61b6o2bo3b7o6b2o2bobo11bo$26bo3b4o64bob4o7b2o3bo5b2ob2o59bo3b4o10b2o2b
2o7b2o4bo4b3o$27bo6bo10bob2o53b2o8bo3bo3b3o7b3o54bo6bo13bo13b5o6bo$32b
2o6bo5b3o3b3o47b2o10b3ob3obo7bo61b2o6bo8bo12bo6b2ob2o$16b3o13b2o4bo6bo
2b2o2b2ob2o29b3o13b2o8b3o2bo6bob2o5b5o54b2o4bo$16bo17bo2b2obo5bo5bo2b
3o28bo17bob2o2b2ob2o9bob2o5b2ob3o55bo2b2ob2o20bob2o$17bo12bo2bo3bo2bo
4bo3bo5b2o2bo27bo12bo2bo5bob2o5b2o8b3o2b2o3bo51bo2bo3bo2bo22bo$19b2o8b
5o4bo8b2o7bo2bo29b2o8b5o4b2obo5bo8b2o6bo3b4o47b5o4bo17bo15b2o$20bo8bo
2b2o56bo8bo2b2o14b2o9b2o3bo2bo2b2o47bo2b2o21b5o2b2obo6bobo$27bobo26bo
40bobo34bobo3b2o45bobo25bo2b2o2b4o6bo$17bo8b3o4bo21b5o27bo8b3o4bo34bob
3o43b3o4bo23bobo3b2o2b2ob2o$14b4obo6bo2b2o24bobo26b4obo6bo2b2o37bo47bo
2b2o27bo11bo$14bo4bo10b3o8bo42bo4bo10b3o8bo26b4o48b3o8bo6b2o5bo2bob3o
3bo$15bo4b2o8b2o8bobo42bo4b2o8b2o8bobo77b2o8bobo5b2o8bo2b2o2bo4bo5bo$
17bo2b3o9bo7bobo44bo2b3o9bo7bobo26b3o50bo7bobo13b3o2bo3bo9b2o$21b2o2b
3o2bobo8bo49b2o2b3o2bobo8bo78bobo8bo15bobobob3ob2o6bob5o$18b2ob2o2bo3b
o58b2ob2o2bo3bo83b2o4b2o26bo3b4o3bo2b2o5bo4bo$19bob2o4bo3b2o56bob2o4bo
3b2o79b2o5b2obo24bobo3bo7bo2bo2bo5bo$19bobo3b2o62bobo3b2o87bo4b2ob2obo
13b2o12bo6bo2b2o10bo$20b2o68b2o97b3obobo13b2o11bo9bo6b2ob2o2bo$49bo
130b2o3b2o2b2o32bo14b2o2b2o3bo$48bobo69bo58b2o3b2o54bobo7b2o$48bobo68b
obo59bo2b3o24bo30bo2bobo2bobo$49bo69bobo61b4o23bobo29b2o3bo2bobo$120bo
61bobo25bobo30b3o5b3o$181b2o28bo31bo7bobo$181bobo61bo5b3o$180bo64bo5b
2o$57bo123b2o36b2o31bo$56bobo160b2o25bo4b3o$56bobo70bo115b5o6bo$57bo
70bobo114bo6b2ob2o$128bobo90bo$129bo90bobo22bob2o$220bobo23bo$221bo17b
o15b2o$65bo172b5o2b2obo6bobo$64bobo171bo2b2o2b4o6bo$64bobo162b2o9bobo
3b2o2b2ob2o$65bo72bo90b2o10bo11bo$137bobo98bo2bob3o3bo$137bobo101bo2b
2o2bo4bo5bo$138bo92bo7b3o2bo3bo9b2o$230bobo7bobobob3ob2o6bob5o$73bo
156bobo7bo3b4o3bo2b2o5bo4bo$72bobo156bo8bobo3bo7bo2bo2bo5bo$72bobo171b
o6bo2b2o10bo$73bo171bo9bo6b2ob2o2bo$147bo98bo14b2o2b2o3bo$146bobo114bo
bo$146bobo116bo2bobo$147bo117b2o3bo$241bo24b3o$240bobo23bo$240bobo25bo
$241bo26bo!
-Matthias Merzenich
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