Spaceship Discussion Thread

[dbell]

Now that we have new low period diagonal c/4 rakes we can build some better period multiplication convoys.

This is an improvement on a previous multiplication by five convoy since it uses a period 20 rake instead of the period 40 puffer. This means it doesn't have the limitation that the input rake's period is a multiple of eight.

Code: Select all

#C A diagonal c/4 convoy which can quintuple the period of a rake.
#C This uses a line of blocks produced by a period 20 rake to filter
#C the output of an input rake, emitting one output glider for every
#C five input gliders.  The input rake's output must be aligned with
#C the lone glider shown here.  This convoy works for all diagonal
#C c/4 rakes whose period is not already a multiple of five and whose
#C period is at least 32.
#C David I. Bell, 21 March 2024
x = 279, y = 308
29bo$28boo$28bobo$$31boo$31boo$$27boboo$26b4o$26bo3boo$31bobbo$$29b3o
3bo$26boo3bo$26bobboboboo$26bobo34bo$33bo17boo9boo$33bo16boo3bo6bobo$
8boo21bo20boboo15b3o$7boo22bobo20b3o5bobo4booboo$9bo21bobo20bo6boobobo
bo$11boo18bo24b3obo6boboo$10bo21bobbo21boo7bo$35b3o19boo5boo$9bobbo19b
oobobo21b5o$boo5boo22boobboo$oo5bo25boo$bbo4bobo24bo10boo6bo$4boobbo
24bo11bobo4boo6bo$4boo26b6o7bo6bobo4boobo$8bo22bo3bobo10bo9boobbo$7bob
o22bobo13boo4bo$7bobbobboo35b3obboo3bo$10bob3o16bobbo13boo4bo4bo24bo$
8boo3bobobo11booboo3boo4boboobo7bo15boo9boo16boo$12bobobbo6booboboo3bo
b3obboo28boo3bo6bobo15bobo$11b3obobo6boo3b5o3bo3boobbo27boboo15b3o6bo$
11bo3b3o4bo6bo4bo9b3obo26b3o5bobo4booboo9bo$12bo8b7obobob8oboobbobo26b
o6boobobobo14boo3bo$15b11o3bobob11obbobo28b3obo6boboo12boobbobo$16boo
3bo13boo41boo7bo17boboobbo$19boo17b3o37boo5boo18boobob3o$37b5o38b5o20b
obo3boo$23boo3b4obobb3obobo62bo5bo$22boo3bo3bobobb3obboo48b3o17boo$23b
obob3obobo3boo3boo47bo12boo$23b3oboobo12boo9bo9bo9bo7bobo7bo10boboo$
24bobbo15b3o8boo8boo8boo4boo3boo7b3o5bo4bo$25bo3boo12boo8bobo7bobo7bob
o5booboo9b6oboo3bo$16boo4bobobooboo67bo4bo$15boo4boobobobbo67bobo4boo$
17bobboo4bo4bo7bo15bo40b3o$19boo5bo3bo7b7o9boo39bo$20bo3bobobo9bo6bob
oo5bobo14b3o22bobo$20bo15bobobbobbobb3o21bo25b5o$16boobo3bo11b3o3bo5bo
bo7boo13bo25boobo$15boo5bo12bobboobo5bobb3o3b5o13boo6bo11bo$17boo22bo
3boo5boobbo4bo13bo4boo13boo$11boo4boobo22bob3o6bobboobbo19boo11boo$10b
oo5bo4bo20b3o4b3o4boo13bo$12bobboobobo23boo3boo3bobo12b4obo$14bo6bobo
16boob3obbo3booboo3boboo5bo4bo27boo$14bobo4boo16boo3bo13b3obooboo3bo4b
oo25boo$12boobo5boo18bobo4bo3boboobbo4bobbo5bobb3o$11boo4bo29boo10boo
15boo$11bobooboobo28bobbo6boo3bobo7booboo$41boo3bo4bobboo3bo5bo8boboo
29boo$7boo3boobo24boo3b3o6bobobobbo3bo8bobo30boo$6boo4b3obo25bo6bo4bo
9boo9boo$7bobobboo4bo25bobb3obo6bo4boo$7b3o4bobo30bobobo6bobbo$7boo6b
oo26b3oboboo8bobo50boo$9bob3oboo26booboboo62boo$14bobo28bobboo12bo$9bo
6bobo25bo3boo11boo$9bo4b3o27bob3o13bo$8bo3boo32b3o13b3o52boo$8bobo7boo
37boobbo55boo$8bo10bo23boo4boo5boobo3bobo$4booboo10b3o20boo14boo4bo$4b
ob4o9bobo21boo15boobboo$4bo14bo23b3o18boo56boo$22bo20bo19boo57boo$3boo
3boo7bobb3o21boo14bo$3boobb3o6b5o38b5obboo$4bobo9bobbo39bobboo$3bo14b
oo41b3o63boo$bbo3boo11bobboo103boo$bbo4bo8bo4boo$bbo3boo9boboboo37b3o$
bbo5boo9boobobbo34b3o$5bo14bo4bo106boo$3b3o19bo33boo71boo$5bobo12bobo
4b3o29bo$6boboo12boobo$7b4o14bo$137boo$bb3o132boo$bbo6boo$3bo4b3o$5b4o
$6boo134boo$142boo$$109b3o$111bo$110bo36boo$147boo3$134boo$134bobo15b
oo$134bo17boo$135boo$135bobbo$135bo$137bobo17boo$141bo15boo$139bobbo$
139bobbo$141b3o$137b3ob3o18boo$133b3oboobb3o18boo$133bo7boo$134bo6boo$
137b5o$139boo26boo$138boo27boo$138boo$137bobo$136boo$136bobo33boo$135b
o16bo19boo$136boo13boo$146bo4bobo$145boo$145bobo5boboo20boo$152boo23b
oo$148boobboo$148boobboo$144bo4boo4boo$143b4obb4o4bo24boo$143bobb3o3b
3o27boo$145bo9bo$146b5obbo$150bo4boo$151boo34boo36boo$187boo36bobo$
225bobo$226b3o$226bobo$192boo32b3o$192boo32boo$227bo$221bo4b3o$220b5o
6bo$197boo21bo6booboo$197boo$220boboo$221bo$214bo15boo$202boo9b5obboob
o6bobo$202boo9bobboobb4o6bo$215bobo3boobbooboo$216bo11bo$213bobbob3o3b
o$207boo7bobboobbo4bo5bo$207boo5b3obbo3bo9boo$215bobobob3oboo6bob5o$
214boo3b4o3bobboo5bo4bo$213bo3bo3bo7bobbobbo5bo$212bo3bo4bo6bobboo10bo
$214boo4bo9bo6booboobbo$221bo14boobboo3bo$238bobo$232bo7bobbobo$231boo
7boo3bo$231bobo7b3o$241bo$234boo7bo$234boo7bo$$230boboo27b3o$229b4o28b
o$229bo3boo27bo$234bobbo4boo21boo$241boo18b3obbo$233boo3bo4bo16bo$233b
oo3bo22bobbobo$234bo9b3o17bobo$234bo7bob4o12bo$235boo3b6o13boobobo$
238boo4boo7boboo3bo3bo$238boo4bo7boobooboboo$218boo19bo7bo4bobo3bobo$
217boo20bo7bo13bo$211boo5bo21boo4bo$210boo5boo29bo4bobo$212bo4bobobboo
25boboobo19boo$214boo3boob4o23boo23bobo$214boo10bo22bobboo20bo$226bo
23boo25bo$220bo28b3o25boo$222boo3boo16boobbo27boo$227b4o13boobboo26boo
$226bo4bo14bobboo24boo$221bo4bo4bo16bo24boobbo$220boo3boo21boo20bobb3o
$220bobo3bo42boo$224b5o10bo9b3o17bobo$224b4o10boo11bo12b3o3bo$224boo5b
o6bobo10b3o10bo6bobbo$225bo3boo22bo11bo4bo$232bo6boboo10b3o11boboo3bo$
233b3ob4obobo10b6o5b5o$234boboobbo3bo10b7obobo$233bobboo6b3o14boo3bobo
$228boo3bobo10bo18bobo$227boo3bobbo10b3o$229bo3bo14bo$227boo3bo15b3o$
227boo20boo$249boo$228boo19boo$226bo22boo$222bobb5o19boo$217boobbobo4b
obo19boo$217bobobo4bo24bo3b3o$217bo3bo28bo4bo$223booboo17boo9bo$220bo
24bobobbobo5boo$220booboo20bo3bobo7bo$248boobbo$249bobo$243boo3boo9b5o
$242boobob3o9b6o$244bobo$252bo6bo3boboboo$241boo8b5o5bobobbo$233b3o5b
oo3bobobbo6b3o7bo$233bo6bobo15boboobbo$234bo4boo10boboobobobobboobbo$
236b4obo10bo5b3obo$237boo19b3ob4obo$251boo4bo4boobobo$248boo3bobboo$
248bobboob4o4bo$248bobobb3obbobb5o$261boob3o$253boo7bo3bo$246boo4boobo
9b4o$246bobo4bobo6boo$246bobbobbo5boobb3o4bo$243booboobbo6boo7boobo$
243bo7bo7bo4bo5boo$243boboobb3o13bo$252bo7b3o3b3o$247booboo10boobboo$
258boo6boo$247bo11bo4bobo$247bo11bo3bo5bo$243b3obbo11bo6boo4bo$238boo
4bo22bobbooboo$237boobboobo14b3o5bobb5o$237bobobo4bo6boobbooboo$234b3o
bboboobbo6boo3bobbo6boboboo$234bo7bo11bo4bo9bo$235boo5bobo11bo12boobbo
$234b3obb3o13bo3bo9bobbo$235boo4bo12boo3boo4boobobo$232b3o6bo12boo3boo
3boo$231boo3bo17boobo7boo$231bobb4o21bobbobboobboo$231bo4boo17boobo6bo
bb4o$224b3o28boobo3bo5boobbo$224bo6bobo18bo3bo3b5o$225bo4boobo17boo4bo
4b3o7bo$227b4obo18bobo4bo3b3o6boo$228boo28boo10boboo$254boobboo4bobobb
ooboo$254boo9boo$246boo5boo10b4o$245boo6boo11bobo$247bobbooboo14bo$
249boo14bobbo$249boo15bo$267bo$267b4obo$269boobbo$269bo3bo$270bobbo$
264bo$263boo5boo$263bobo4boobo$271bobbo$266boo3boobo$266boo5bo$$262bob
oo$261b4o5b3o$261bo3boo4bobbo$266bobbobboo$$265boo3bo$265boo3bo$266bo$
266bo$267boo!
#C

Here is an example of the convoy's use that the old quintupler convoy couldn't handle.

Code: Select all

#C A diagonal c/4 period 220 sideways rake.
#C This uses a period 20 convoy to filter the output from a period 44 rake.
#C David I. Bell, 21 March 2024
x = 462, y = 348
64boo$64bobo$57boo5bo$57bobo3boobbo$57bo11bo$60bo3boo3b3o$60boo4boo4bo
$66b7o$67b4o4$69b3o$69bobo$$68b3o$68boo$64b3o$64bobb3o$66b4o$64bob3o$
64boo$64bobobobo$65boo$63boo$62bo3bobbo65bo$65bo3bo51bob6o5boo$62bobo
bbo49boob3oboob3o4bobo$64b3obbo46boo7boo$65boobo48bo4b3obo3boo5boo$66b
o37b3o9bo5boo8bo4boo$66bobo35bobb3o4b3o4bo4b3obbo$67boboo34bobo4boo4bo
boo9bo3boo$68boobo38bobooboo15bo3bo$69boo24b3o3boo8boo20bo$69b6o20bo5b
o3boobb4o$56boo11boo25bo4boboboo3b3o$10bo45bobo14boo24bo11boo$9boo45bo
12bo4bo22boboobboboboo$9bobo47bo10b5oboo8b3o3b3obb3o3bo5b3o9boo$59boo
10bo14bo5bo8bo3boo4boo8bobb3o$12boo45boo11b3o12bo6bob6o9b4o6bob4o65b3o
$12boo40boobboo12boobbo12bo3boo3b5o4bo5boobboo3bo3bobo63bo$53boobboo
16boo11b4oboo21boobbo9bo62bo$3bo6boo42boboboo18bo13booboboobo16b4o7b3o
64boo$bboo5bobbo41boobbo15bo11boobb3o6bobo17bo4b7obo63bo$bbobo3boobo
43bob3o14bo5b3o4b5o5boo25bo$6bo44boo5boo13bo3bobbobboobboo36bobbo3bo
60bo$5bo44boo20boo3bo5bobo42bo3bo57b4obo$5bobboo42bobo17boo7bo3boob3o
37bobbo58bo4bo$10bo41boo3bo6boo6boobo8bobobbo101bo4boo$9bo3bo38bo3boo
6bobo13boboobobb3o38bobo64b3o$9bo4boo36bo3bobo5bo6bo4bo3b3obbooboo40bo
62bo3boo$10bo4b4o14bo3boo13bo18bobboo8bo4bo101b4ob3o$11bo4boobo11boo4b
obo16b5o3bo5bo10boo4boo101boobobobo$13bo3bobbo6boobo3bobbo15booboobb3o
4bobbobbo6boo108bo$12boobobo6boob4o3bo26boboboo3boobo6boobo107bo23boob
o7b3o$15bobobo4boo9boobo5boob4o4bo3bobobbobobb3obobbo119b3o16bo3bo6bo$
17boobboo7bob4oboo5bo11bo14b3o98boo41bo4bo7bo7boo$20boo7boo5boobboobbo
5bo6boboo10bobo98bobo20boo20boo7bobo4boobo$21bo3boboo4bobo3b4o4booboo
19b3o4boo92bo22b3o21bobo4b3obobboo$3bo22bo6bobo3boobo4booboboo12b3o4bo
4boboo93bo21bo27bo3boobboo$bboo45boob3o7boobbo3bobbo4boo95boo19b3o22b
oob4oboo$bbobo43boobbobo6boo4bo3bobbo3bo3b3o90boo20boboo21b7o$31boo5b
oo3boboo6boobboo4bo5bo3bo4bo3b3o89boo20bo3boo$5boo23boo6b3obbobbo5b3o
3bo9b6o7bo4bo78boo6boo21bo4bo$5boo25bobboo4bo4bo6boobb3o4b3oboobobo9b
3o17boo60bobo3boobbo21bo$34boo3boobbo13boo7bo5boo9bo18boo61bo5b3o24boo
10bo$boboo16bob6o5b3obboo20boobobobo3bo24boo4bobo62bo40boo5b3o5bo$4o
13boob3oboob3o6boobobbooboo14b5o4bo4bo20boo5boobo61boo26boob3o7bobo4bo
7b3o$o3boo10boo7boo10bobobob3o5boo10b3oboboo27bo5bobo65bo23bobbobbo15b
o4bobbo$5bobbo8bo4b3obo3boo4bobbo4bo6bobo9boobbob3o28boobbobo64bobo22b
3o13boobbobo3boo$16bo5boo8bo4boo5boo5bo8boobbobob4o28b4obbo65boo3bo19b
o15bobbobob5o$4boo3bo4b3o4bo4b3obbo8bo3boo8bo4bo8bo33boobboo64boo3boob
o15boo14boobbo4bo$4boo3bobboo4boboo9bo3boo3bobo11boobbo5boobbo3boo21b
oo6bo4bo64bo3bo3bo12boboo3bo6boobo6boobo14boobo7b3o16bo$5bo5bo3boo15bo
3bo3bobo15bo4bobboo26boo3b3oboo3bo69bo3bo8boboo6boo4b3o26bo3bo6bo17boo
$5bo6boo19bo8bo15bo3boo32bob4obbobo69boobbo6b6obb4obo3b3oboo26bo4bo7bo
7boo6bobo$6boo36bo13bo3bo5bo35bo70boo3bo10bo20bo25boo7bobo4boobo$35boo
3bo3bobo14bo4boo30bo3bobbobo69bobbo5boobooboboboo8boobb3o27bobo4b3obo
bboo12boo$35bobobb4obobo9boo9bo29bo3bo4bo71b4oboobbo5bo3b9o3boo34bo3b
oobboo12boobb3o$35bo3bobbobo11booboo4bo37bo79bo19bo38boob4oboo20boobo$
38b5o12boobo3b5o116boo17bobo38b7o20bo4bo$39bo15boboboo7bo132bo3bo63b3o
4bo$38boob3obbo5b3o3bobo3bo3bo118boo3boobboo3bobbo64bo5bo$39bobbo9bo
12bo121bobbobbob3o3bo3boo49boo12bobobboo$37bobo6bo6bobboboobo4boobbo
116bo4boobo5bo5bo39bo7boo$37b3o3boo11bobb4o8bo29boo85boobbo4bo4bo5bo
36bo3bo7bo9b3o$37bo3bo7boo6bobb3o4booboo24boobo88bobbobbo13bo8b3o7b3o
7b3o5bo3bo9boo6booboo$36boobbo3bo4bobo6boobo5bo5boo20bo3boo88booboo9bo
4bo10bo9bo9bo5booboo9boobboobbob3o$36bobo5boo3bo9boo5bobbo26bo3bo79boo
4bo3boobo10bobbo10bo9bo9bo23boobobboo$36bobboo11bo4bobobbo9bobboo19bo
bbo80bobo3b3o6bo67bo4boo$36bo3b3o9boobbobo4bo3b3o17boobo6b3o80bo3bobb
ooboboobo64boo3bo$38boo3bo12bobo3bo6b3obo13bo3bo91boobbobb5o7b3o3boo8b
3o39boo$33b3o20bobo11b4obo11bo4bo20bo70boboobbobo9bobb3o3boo5bo17boo
22bo$33b3o3bo3b3obb3o5boboo10bob4o13boo21bobo69boboo17b4o3bo6bo15boo
24booboo$38bobo7bo7boboo10boo19bobo86boo3boo12b4o11boo5bo15bo25bobo$
32boo7bo7bobb6o7boobbobboo38boo66bobb3o13bo6bo3bobo7b3o16boo4bo13bo$
32bo6bobo9bo3bo9bobo5bo12bo6boo16boo67bob3o15bobboobo3bo4boboo4b3o12bo
6bobo9bobo$40b3o11bo3bo6bo3bo15b5o4bobbo16bo60boo8bo24boo4bo4booboo19b
oo11boo$42bo5boo8bobo7bobbo7boo4bo6boo16bo3bo60bobo4bo24boo6boobobbo
15bobbo$40b3o5boboboo7bo7boo8bobo11bo20bo60bo3boobobbobo17bobbo4boo3bo
15boobo$39bobo6bo4boboobbo9boo8bo5boboo6bobo12bobbo66boboobobo16bo3bo
4bobbooboo6boo4boo4bo26boo$33boo3booboo8b3o5bobbo5boo10boo4bo4bobo17b
3o64b3oboobbo17bo3bo4b4obbo3b3ob4o4bobobbo25boo$32boo3boobboo8bobbo6b
oo17bobbo6b3o86bobboobo18boboo4boobobboobboo7bo8bo$34bo6bo10boo15boboo
7bo6booboo50boo31b3o3b3obbo25bobo8bo4bo8bobbo$36bobboboo11bobboo11bo
11bobobobbo51boobo30bo7bo27bobboo7bo14bobo$40bobboo9bo4b3o7boo39boo30b
o34boboo24boo6boo4bo3boboobobo7bobo30boo$36booboo15boboboo8bo13bo4bo
20boo30bobbo25boo32bobobb4o4boobboo6bo8boo30boo$33boo4boo16bo8boo17b4o
53bo3bo24bobobboobobo23bo3boobbo4bobobboo14bo$33bo3bob3o23boobobbo32b
oobo34bobbo25bo4boo3bo26b4obboo7boobb3o$33bobboo12boo3boo10boboo33bo3b
o63boo5bo3bo27bobboo7boobo$35bo5b3o5boo3b4o7boo37bo4bo62bo6bo28boobobo
9bo4boo46boo$42boo7bob3o9boobbobo34boo29boobobb3o26bo3bo3bo26boobobo
11bo51boo$33boo18boo14bobo36bobo26boboobbobb3o25boboobbo31bo13bo$33bo
7bo10boo12booboo53boo11boboo6boo26b4ob3o24boo3bo12boo$34bo6b3o8boo11bo
b3o33bo6boo11bobbo11bo34b6obboo26boboo$51bobo10boobboo32b5o4bobbo8bobb
o11boo33boo7boo27bo15bo53boo$38b3o9boo11b3o4bo25boo4bo6boo5boo8bo11boo
32bo9boo30bo6boobooboo52boo$38bo11bobo10b3obboo26bobo11bo7bo4boboo3boo
bo3b3o7boo23bobo32boo12bob3oboo$41bo7bo18b3o25bo5boboo6bobo8bobo4bo3bo
bbobbo5boo21boboobo9bo22bo3boboo6bo3bo3bo$38bobbo8boo13bobo29boo4bo4bo
bo13bo5bo4bo4boo5boo19b3o12b3o21bo16boo$39bo27bo29bobbo6b3o22bobobbobb
o3b3o21bo4bo9bobo22bo19boo56boo$40bo26boboo26bo6booboo23boob4o3bob3o
38boo21boo18bo57boo$68bo3bo26bobobobbo25boobobo30bo4bo10boo22boo18bobo
$69bobbo58bobo6boo8boo15boo3boo6b3o40b3o4bo$65bo4boo29bo4bo24bobbobobo
bo9bobb3o12boboo8bobbo39bobboobbo$64boo36b4o17b3o10bo3b4o6bob4o11bobb
oo10bo41bobo64boo$64bobo3bobo48boobbo5boo3bo3boboobboo3bo3bobo9boobo
10boo3boo41bo61boo$68bo3bo49b3o8bo11boobbo9bo7b3o11boo3bobo$67bo55bo
13boo7b4o7b3o7boboobo8b3obbo38bobbo$67bobbo66boo9bo4b7obo5boo3bo13bo
37boobo$153bo13boo3bo10boboob3o33bo71boo$154bobbo3bo6bo16boo5bo30boo
71boo$157bo3bo8bo13b3o6bo29bo$118bo38bobbo9boboo16bobo31bo$117boo52bo
bbo11boboo$117bobo38bobo14bo125boo$159bo7boo132boo$120boo44boo5bo$120b
oo46bo4boo$170boo$116boboo50boo$115b4o188bo$115bo3boo$120bobbo9boo20b
oo20boo20boo20boo20boo20boo20boo18bo$134boo20boo20boo20boo20boo20boo
20boo20boo$119boo3bo8bo21bo21bo21bo21bo21bo21bo21bo17bo$119boo3bo181b
oo$120bo185boo$120bo6boo$121boo3b3obboo166bo$127boobboo165boo16boo$
128booboo165bobo15boo$129b3o$130bo169b3o$299b3o$301bobo$303b3o$303b3o$
306bo$303bobbo$302bo3bo19boo$298booboo3bo19boo$297boo7bo$299boboobbo$
305bo$302bobo$303bo$302bo$301bobo$301bobo$300bo35boo$300boo34boo$300b
oo13b3o$315bo$309b3o6bo$309bo6bobbo$310bo6boboo$312boo3boboo$313bo3bob
o$317boboo$307b3o3boo6bo$307bobboobbob3obo28b3o107b3o$308bobbobboobo
33bo109bo$310boobooboobo30bo109bo$316bobbo$315boobbo70bo$389boo$389bob
o$391bo$392bo$389boboo$390bo$$391boobo$384b3o3boo3bo$384bobb5o4bo$385b
ooboo3boo$384b3o$$395bo$361bo15b3o4booboo5boo$360bobo14bobb3obboo7bobo
$361boo16bo10bo$378boo5bo3b5o$378boobboo4boboo$371boo5boo3bo5booboo$
371boo6bo3bo3b3o7b3o$381b3ob3obo7bo$379b3obbo6boboo5b5o$380boo9boboo5b
oob3o$385boo8b3obboo3bo$384bo8boo6bo3b4o$385boo9boo3bobbobboo$401bobo
3boo$405bob3o$395b3o7bo$395bo9b4o$396bo$398boo6b3o$399bo$$396bo29boo$
393b4obo26boo$393bo4bo28bo$394bo4boo5boo21bo$396bobb3o4bobo16b6o$400b
oo4bo18bobbo$397booboo7bo15b6o$398boboo6bobbo14bo3bo$398bobo7bobbo13b
oo$399boo4b3obbo12boob3o$403bobobbo11boobbo3bo$402boob4o7b3ob3obo$382b
oo19boboo9bo5bobo$382bobo18bobo4b3o4bo7boo$375boo5bo21boo13bo$375bobo
3boobbo25bobo$375bo11bo25bobb4o19bo$378bo3boo3b3o23booboo20boo$378boo
4boo4bo25bo21bobo$384b7o23boo$385b4o25bo26boo$392bo16boobo28boo$391b4o
14bo3bo$395bo13bo3bo25boo$390b6o15bobo24bobbo$384b3o3boboo43boobo$384b
o5bobo19bobo18b3o$385bobbooboo40bo$387bo14b3o9boo13boo3bo$390bo3bo7bo
13bo11boo5boboo$388boo4bobo8bo11boo11bo5b3o$394bo7bo4bo24bob4o$396b3o
4b3o12bobobboo6bobboo$398boboo5bobo10boobobbo3boo$400bo8bo6bo9bobob3o$
392boo3b3o10bo4bobo8bobo$392bobobboo12bo4boo3bobo$392bo4bo13bobo$395bo
bo$391boo20boo$391boo21bobbo$392boo$390bo22boobbo$390b4o19bo$382bobb3o
bo4bo$381boobbob4o3bo19b3o3boo$381bobobobobbo28boo$385b3obboo18bo4boo
4bo$384boobo21boo12boo$385boboo20bobobboo6bo$413b3o$412bobbo7bobbo$
407boo$407bobobboo9booboo$407bobboboo9boobbobo$411boo11b4o3bo$406bo3b
3obb3o7bobbob3o$398boo5boo3boo3bobb3obbo7boo$397boo5bo11boob4obo4boo$
399bo4bobo8b3o4bobobob3o$401boobbo17bobbo3bo$401boo19bobbob5o$415boo4b
obo7bo$413b3obo3bo5bo$412booboobobbo7bo$412bo5boobbooboo$413bo12boboo$
427booboo$411bo4b4o7b3o$410b4o3bobo6boo4boo$410bo4bo6boo$408bobobbobo
6bobobboboo3bo$407b3obbo9bo5b3obobo$407bobb5obo8bo5bobbo$411bo3bo9bo5b
oo$411booboo7bobbo4bo$423boboobobbo$423bob3o3boo$410b3o11b4o3boo$408bo
15boo6bo4bo$402boo3boo3bo24b3o$402bo3bobobo13boo5b6o$402bobobobbo7boo
3boboo5b3o$399boo7boo7boboboo9booboo$398boo3bobb3o8bo4boo11boo$399bo3b
obbobo11b3o11b4o$399bo20b3o9boo$399bobboboo13bo3bo5boo3bo$396boobo6bo
11booboboo4bo3bo$396bo24bobbo4bo$395bobb3o17bobbobb3o3bobbo$395b3obbob
o15bo5boo4bobboobo$389boo5boo22b3oboobbo4bobbo$388boo5boo23bob3obbo4bo
bbo$390bo4bo19b3o3bo5bo$392boobboo17bo6bo4bo7bobo$392boo22bo6bo3bo6bob
o$418boo3bo6bo3bobbo$419bobbo5b3obbobbo$410boo$410bobo3b3o12boo$410bo
3bo4bo10b3o$413boo15b3o$413bo5bo10bo$431boo$435boo$432bob3o$432bobboo$
435boobbo$435bobbo$427b3o4boo$427bo7bobo$428bo7boo$430boo4bobo$431bo4b
obbo$$428bo6bo$425b4obo4bobbo$425bo4bo4bobbo$426bo4boo3boo$428bobb3o$
432boo$429booboo$430boboo$430bobo$431boo!

EDIT:

The above is so obsolete! I went back to basics and tried perturbing the bare backrake without turning the gliders into blocks, and it worked incredibly well. This is about as simple as it can be.

Code: Select all

#C A diagonal c/4 convoy which can quintuple the period of a rake.
#C This uses a period 20 backwards rake to filter the output of an input
#C rake, emitting one output glider for every five input gliders.  The
#C input rake's output must be aligned with the lone glider shown here.
#C This convoy works for all diagonal c/4 rakes whose period is not
#C already a multiple of five and whose period is at least 32.
#C This is an improvement of a previous version of the filter.
#C David I. Bell, 21 March 2024
x = 167, y = 136
29bo$28boo$28bobo$$31boo$31boo$$27boboo$26b4o$26bo3boo$31bobbo$$29b3o
3bo$26boo3bo$26bobboboboo$26bobo34bo$33bo17boo9boo$33bo16boo3bo6bobo$
8boo21bo20boboo15b3o$7boo22bobo20b3o5bobo4booboo$9bo21bobo20bo6boobobo
bo$11boo18bo24b3obo6boboo$10bo21bobbo21boo7bo$35b3o19boo5boo$9bobbo19b
oobobo21b5o$boo5boo22boobboo$oo5bo25boo$bbo4bobo24bo10boo6bo$4boobbo
24bo11bobo4boo6bo$4boo26b6o7bo6bobo4boobo$8bo22bo3bobo10bo9boobbo$7bob
o22bobo13boo4bo$7bobbobboo35b3obboo3bo$10bob3o16bobbo13boo4bo4bo24bo$
8boo3bobobo11booboo3boo4boboobo7bo15boo9boo$12bobobbo6booboboo3bob3obb
oo28boo3bo6bobo$11b3obobo6boo3b5o3bo3boobbo27boboo15b3o$11bo3b3o4bo6bo
4bo9b3obo26b3o5bobo4booboo$12bo8b7obobob8oboobbobo26bo6boobobobo$15b
11o3bobob11obbobo28b3obo6boboo$16boo3bo13boo41boo7bo$19boo17b3o37boo5b
oo$37b5o38b5o$23boo3b4obobb3obobo$22boo3bo3bobobb3obboo$23bobob3obobo
3boo3boo$23b3oboobo12boo9bo9bo9bo7bobo$24bobbo15b3o8boo8boo8boo4boo3b
oo$25bo3boo12boo8bobo7bobo7bobo5booboo$16boo4bobobooboo$15boo4boobobo
bbo$17bobboo4bo4bo7bo15bo$19boo5bo3bo7b7o9boo$20bo3bobobo9bo6boboo5bob
o$20bo15bobobbobbobb3o$16boobo3bo11b3o3bo5bobo7boo$15boo5bo12bobboobo
5bobb3o3b5o21bo11bo$17boo22bo3boo5boobbo4bo9b3o6boo13boo20bo$11boo4boo
bo22bob3o6bobboobbo9bo9boo11boo20boo$10boo5bo4bo20b3o4b3o4boo13bo43bob
o$12bobboobobo23boo3boo3bobo17boo$14bo6bobo16boob3obbo3booboo3boboo11b
o43boo$14bobo4boo16boo3bo13b3obooboo52boo$12boobo5boo18bobo4bo3boboobb
o4bobbo5bo$11boo4bo29boo10boo8b4obo40boboo27b3o$11bobooboobo28bobbo6b
oo3bobo3bo4bo39b4o28bo$41boo3bo4bobboo3bo5bo4bo4boo5bo21bo9bo3boo27bo$
7boo3boobo24boo3b3o6bobobobbo3bo6bobb3obboo23boo12bobbo4boo21boo$6boo
4b3obo25bo6bo4bo9boo10boo3boo21boo20boo18b3obbo$7bobobboo4bo25bobb3obo
6bo4boo8booboo40boo3bo4bo16bo$7b3o4bobo30bobobo6bobbo12boboo40boo3bo
22bobbobo$7boo6boo26b3oboboo8bobo12bobo42bo9b3o17bobo$9bob3oboo26boobo
boo25boo42bo7bob4o12bo$14bobo28bobboo12bo57boo3b6o13boobobo$9bo6bobo
25bo3boo11boo60boo4boo7boboo3bo3bo$9bo4b3o27bob3o13bo60boo4bo7booboobo
boo$8bo3boo32b3o13b3o49bo9bo7bo4bobo3bobo$8bobo7boo37boobbo53boo7bo7bo
13bo$8bo10bo23boo4boo5boobo3bobo48boo9boo4bo$4booboo10b3o20boo14boo4bo
68bo4bobo$4bob4o9bobo21boo15boobboo68boboobo19boo$4bo14bo23b3o18boo68b
oo23bobo$22bo20bo19boo69bobboo20bo$3boo3boo7bobb3o21boo14bo74boo25bo$
3boobb3o6b5o38b5obboo66b3o25boo$4bobo9bobbo39bobboo66boobbo27boo$3bo
14boo41b3o60bo4boobboo26boo$bbo3boo11bobboo101boo4bobboo24boo$bbo4bo8b
o4boo101boo7bo24boobbo$bbo3boo9boboboo37b3o70boo20bobb3o$bbo5boo9boobo
bbo34b3o91boo$5bo14bo4bo108b3o17bobo$3b3o19bo33boo75bo12b3o3bo$5bobo
12bobo4b3o29bo76b3o10bo6bobbo$6boboo12boobo112bo11bo4bo$7b4o14bo112b3o
11boboo3bo$134bo5b6o5b5o$bb3o130boo3b7obobo$bbo6boo123boo10boo3bobo$3b
o4b3o139bobo$5b4o$6boo4$129b3o$131bo$130bo6$148b4o$147bo5bo$146bo6bo$
145boobo3boo$144bobbobbo10boo$147boboobo8bobo$144bobo3boobo7bobo$146b
3o3boobo3bo$150boobbo3b4obo$146bo4bo3bobo5bo$147bobboo3bo3b3o$$153bobo
5boo$152bo8boobo$152boo6bobbo$158boob5o$149boobboo3booboobboo$149bobb
3obbo$149bobo4b3o$156boo$160bo$159bobo$159bobo!

Here is the example of the smaller convoy's use.

Code: Select all

#C A diagonal c/4 period 220 sideways rake.
#C This uses a period 20 convoy to filter the output from a period 44 rake.
#C This is an improvement of a previous version of the rake.
#C David I. Bell, 21 March 2024
x = 422, y = 175
64boo$63boo$57boo5bo$56boo5boo$58bo4bobobboo$60boo3boob4o$60boo10bo$
72bo$66bo$68boo$$70bo$69bobo$69bobo$68bo$68bobo$65boboobo$64b3o$64bo4b
o$$64bo4bo$63boo3boo$64boboo$63bobboo$63boobo$63b3o58b4o6boo$63boboobo
51boobo5bo4bobo$63boo3bo47b3ob3o6bo4bo$63boo3bo47bo11b3o6bo$64bo40bo
11bo4bobobo4bo5boo$66bo37b5o7boo3bobb3o3bobo4boo$66boboo34bobboo4b5obb
oo5bo3boo3boo$67bobbo35booboboo4bobboo5bo3boobboo$71bo24bo17bo17bobboo
$73bo21boo4boo6bo$68bo3boo21bobobboobb3obbo3bo$56boo11bo30bobob3obbo3b
o$9boo44boo12boobboo23boobbobbobobbobo$9bobo45bo12boo15bo5bo3bobbo3bo
3boobbo$9bo49boo9b6o10boo4boo3bobobbobbob6o8boobbo65bo$12bo45bo11bo4bo
10bobo3bob3o4boo17boo4bo63boo$12boo57bobbo19boobo8bo4bobbo6bobo66bobo$
12boo39b3obobbo11bo3bo12bobbo9bo11b5obb4oboo$11boo40bobbo18b3o10b4o3bo
bo18bo3boo5boobo62boo$bboo6boo44bobbo15bo11boo9b3o15boobbo4boo66boo$bb
obo3boobbo41bo26bo4boo5bobbobboo18boo3b4obboo$bbo5b3o43b4o15boo5b4o8bo
5bo25bo6bo57boboo$5bo44b3o4bobo12b3o5bobbooboobbo97b4o$5boo43bobbo20bo
7boobo41b3oboo55bo3boo$9bo42bo18bo14b5o102bobbo$8bobo40boo3boo6boo6b3o
6b4obo43bo$9boo3bo36boo3bobo4boo7bo7boboo6bo39bo60b3o3bo$9boo3boobo33b
3obbo8bo9bo4bobobb3o42bo57boo3bo$10bo3bo3bo13bo4boo17bo13boo3bo4bobbob
oobbo98bobboboboo$15bo3bo11b3obboo15boboob3o9boobbo5b3o5bo99bobo34bo$
13boobbo8boobbobbo4bo16boo5b5obboobo122bo17boo9boo$12boo3bo6boobobbo3b
oboo10boo4b3o6b5o5boo5b3o112bo16boo3bo6bobo$14bobbo5b4oboboo4bobo5boo
bboo10bobobobobbo3boo95boo21bo20boboo15b3o$16b4oboo6b3oboo3boo3boo3bob
o5boboo13boo94boo22bobo20b3o5bobo4booboo$20bo7b5o4bo4boo5b3o18bo3bo96b
o21bobo20bo6boobobobo$20boo4b4o5bobbo3boo3boobobo14bo3boboo3b3o92boo
18bo24b3obo6boboo$bboo22boo11bobbo4bo6bo11boo3boboobbobbo91bo21bobbo
21boo7bo$bbobo42bobbo3bo6b3obbobo3b3obboob4o113b3o19boo5boo$bbo45b5obb
o5bo8bob3obboo3bobo86bobbo19boobobo21b5o$5bo24b3o5bobo3b4o7boboo3bo6bo
3boo6bobboo77boo5boo22boobboo$5boo23bo6booboboboboo4bobbo8boobo3boboo
87boo5bo25boo$5boo24bobb3obobboo9bobo4bo5boobo5bo7b4o16b3o59bo4bobo24b
o10boo6bo$4boo18b4o5bo5bobo15bobo3booboboobobo9bo18bo63boobbo24bo11bob
o4boo6bo$ooboo15boobo5bo4bobbo3b4o16bobboboo3b3o22b3o6bo60boo26b6o7bo
6bobo4boobo$o4bo10b3ob3o6bo7bobob3oboo14bo5booboo24bo6bobbo63bo22bo3bo
bo10bo9boobbo$ob4o10bo11b3o6bobo6bo4boo44bo6boboo61bobo22bobo13boo4bo$
4boo11bo4bobobo4bo4bobboo9boo10bo4bo31boo3boboo61bobbobboo35b3obboo3bo
$4boo10boo3bobb3o3bobo4b3o3bo8bo7bobb3o5bo28bo3bobo65bob3o16bobbo13boo
4bo4bo24bo$4boo7b5obboo5bo3boo3boobobob3o8boo3boo3bo3bob3o31boboo62boo
3bobobo11booboo3boo4boboobo7bo15boo9boo$6bo3boboo3bobboo5bo3boobboobb
oobbo10boobboo4b3obo25b3o3boo6bo65bobobbo6booboboo3bob3obboo28boo3bo6b
obo$5boo4bobbo17bobboo5boo13b3obboob3o26bobboobbob3obo65b3obobo6boo3b
5o3bo3boobbo27boboo15b3o$5bo6bo28bobo13b3obboo3bo27bobbobboobo68bo3b3o
4bo6bo4bo9b3obo26b3o5bobo4booboo$6bo36bobo15b3o3bo29boobooboobo67bo8b
7obobob8oboobbobo26bo6boobobobo$35boo3bobobobo10boo8boo34bobbo70b11o3b
obob11obbobo28b3obo6boboo$34boo3boobobboo9b5o5boo34boobbo71boo3bo13b7o
36boo7bo$36bo7bo10bo3bo3boboo114boo57boo5boo$38bobb3o11bo5bob4o175b5o$
43bo9bobobobboo5bo117boo3b4obo$38boob3o8b3o3bobo123boo3bo3bobobb3obo$
39bob3o8bobobboobo4b3o117bobob3obobo4b4o$37boboobbo13b3oboo3bo118b3ob
oobo7boobboo8bo9bo9bo8b3o$36booboo15bo9boboobo114bobbo12boobo8boo8boo
8boo7bobo$39boobboo4boo6bo9boob3o23boboobo85bo3boo10boo8bobo7bobo7bobo
7bobo$36bobo5boobboo8bo3bo3booboo24bob4o77boo4bobobooboo$35boobobo3boo
4bo10bo11b3o19boo3bo76boo4boobobobbo$35boobboo11boo3boboo6bobo26bobboo
78bobboo4bo4bo7bo15bo$37boobboo9boobboboobboo4booboo14boo8b3o81boo5bo
3bo7b7o9boo$34boo3b4o12booboo13boo11boo3bo6bo83bo3bobobo9bo6boboo5bobo
$33bobobboo3bo5bo5boobo16bo12boboo21bo68bo15bobobbobbobb3o32bo9bo$33bo
bo3bo4bo3boo5boo12bo5bo14b3o20bo64boobo3bo11b3o3bo5bobo7boo21boo11boo$
32bo6boo3bo3bobobboo4bo9boo19bo21bo64boo5bo12bobboobo5bobb3o3b5o20boo
9boo$32boo5bobo10b3obboo6boo3b4o18b3o16b3o65boo22bo3boo5boobbo4bo9b3o
43bo$32boo18bo4bo6boobbo3boo11boobo4boo16boo60boo4boobo22bob3o6bobboo
bbo9bo44boo$40bobo16bo6bobo16boboo3bobo16bobo58boo5bo4bo20b3o4b3o4boo
13bo43bobo$43bo4boo3bo5bo8bo10boo4boboo3b3o18b3o58bobboobobo23boo3boo
3bobo17boo$40bobo4boo3b3o4boo7bobbo6boo6bo5b3o18boo61bo6bobo16boob3obb
o3booboo3boboo11bo43boo$38boo9bo10bo18bobo4boo4bobo16boboo61bobo4boo
16boo3bo13b3obooboo52boo$32b3obbobo11bobobo4b3o5b3o8b3o4boobboo19b3o
60boobo5boo18bobo4bo3boboobbo4bobbo5bo$32bo4b3o11bobbo6boo5b3o8boo6bob
o22bo60boo4bo29boo10boo8b4obo7bo19bo12boboo27b3o$33bo3boo13b3o15boo9bo
bo3boo3bo48b3o29bobooboobo28bobbo6boo3bobo3bo4bo5boo21boo9b4o28bo$41b
3o10bo3b3o26b4o50bo61boo3bo4bobboo3bo5bo4bo4boo4boo19boo10bo3boo27bo$
36b3o3boo11bo5bo7b3o11bobo24boo30bo26boo3boobo24boo3b3o6bobobobbo3bo6b
obb3o41bobbo4boo21boo$38bobbo15boobbo7boo14b4o21boo29b3o24boo4b3obo25b
o6bo4bo9boo10boo48boo18b3obbo$33booboo19bo7b3o17b4o52b3oboo22bobobboo
4bo25bobb3obo6bo4boo8booboo40boo3bo4bo16bo$32boobboobobo14bo8bobb3o15b
oo16boo63b3o4bobo30bobobo6bobbo12boboo40boo3bo22bobbobo$34bob3o10b3obb
obbo9b4o32boo3bo60boo6boo26b3oboboo8bobo12bobo42bo9b3o17bobo$36bo4bobo
5bobboo3bo7bob3o35boboo35bo26bob3oboo26booboboo25boo42bo7bob4o12bo$34b
o6bobo6bobo12boo40b3o27boobobb5o28bobo28bobboo12bo57boo3b6o13boobobo$
33boo7bo12bo9bobobobo35bo28boo3boboboobo22bo6bobo25bo3boo11boo49bo10b
oo4boo7boboo3bo3bo$33bo7bo24boo41b3o12boo11bobbo5bobo22bo4b3o27bob3o
13bo50boo8boo4bo7boobooboboo$41boo8bobbo9boo36boobo4boo11bobbo10bobbo
29bo3boo32b3o13b3o47boo10bo7bo4bobo3bobo$39b4o7boobo9bo3bobbo31boboo3b
obo13b3o9bo32bobo7boo37boobbo62bo7bo13bo$38boo10bo15bo3bo25boo4boboo3b
3o5bo6boboo12bo29bo10bo23boo4boo5boobo3bobo59boo4bo$38bobo8boo12bobobb
o26boo6bo5b3o5bo7boo3boo5bobbo5b3o17booboo10b3o20boo14boo4bo68bo4bobo$
49bo15b3obbo25bobo4boo4bobo11boboobboo3boboobboo4bo19bob4o9bobo21boo
15boobboo68boboobo19boo$40bo9bo15boobo26b3o4boobboo15bo6bob4obb3o6bo
17bo14bo23b3o18boo68boo23bobo$39boo26bo28boo6bobo24boobobb4obboo39bo
20bo19boo69bobboo20bo$67bobo28bobo3boo3bo21bo3bobbo4boobo18boo3boo7bo
bb3o21boo14bo74boo25bo$68boboo32b4o23bo3boboobbo3bo19boobb3o6b5o38b5o
bboo54bo11b3o25boo$69boobo27bobo28bobob3ob3o8boobbo11bobo9bobbo39bobb
oo59boo5boobbo27boo$64boo4boo30b4o18bo7bobbobo11boo4bo9bo14boo41b3o58b
oo5boobboo26boo$64bobo3bo31b4o16b4o5boo3bo3bobbo6bobo11bo3boo11bobboo
107bobboo24boo$64bo6bo31boo16bo3bo6bo7bobb5obb4oboo7bo4bo8bo4boo110bo
24boobbo$67bo3bo49bobbo7bo4bo7bo3boo5boobo4bo3boo9boboboo37b3o70boo20b
obb3o$67boo53b3o12boo6boobbo4boo8bo5boo9boobobbo34b3o91boo$137boo9boo
3b4obboo6bo14bo4bo108b3o17bobo$153bo6bo4b3o19bo33boo75bo12b3o3bo$167bo
bo12bobo4b3o29bo76b3o10bo6bobbo$156b3oboo6boboo12boobo106bo5bo11bo4bo$
117boo50b4o14bo107boo3b3o11boboo3bo$117bobo39bo134boo6b6o5b5o$117bo41b
o4b3o135b7obobo$120bo38bo4bo6boo135boo3bobo$120boo43bo4b3o139bobo$120b
oo45b4o$119boo47boo$115booboo$115bo4bo$115bob4o183bo$119boo12b3o19b3o
19b3o19b3o19b3o19b3o19b3o19b3o15boobb3o107b3o$119boo14bo21bo21bo21bo
21bo21bo21bo21bo14boo5bo109bo$119boo13bo21bo21bo21bo21bo21bo21bo21bo
21bo109bo$121bo$120boo$120bo5bobo$121bo4bobboboo$126bo6bo$127bo182b4o$
128bo3bo176bo5bo$129b3o176bo6bo$307boobo3boo$306bobbobbo10boo$309boboo
bo8bobo$306bobo3boobo7bobo$308b3o3boobo3bo$312boobbo3b4obo$308bo4bo3bo
bo5bo$309bobboo3bo3b3o$$315bobo5boo$314bo8boobo$314boo6bobbo$320boob5o
$311boobboo3booboobboo$311bobb3obbo$311bobo4b3o$318boo$322bo$321bobo$
321bobo!

BCNU,
-dbell

[amling]

Lazy c/4d p228 side rake by LCM of p76 side rake and p12 back rake:

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 967, y = 349, rule = B3/S23
110b3o$110bo$103b3o6bo$103bo6bobo$104bo4b2ob4o$106b4ob5ob2o$107b2o7b2o
bo4$116bo$117bo$116bobo$115b2o$115bobo$115bo$111b2ob2o$111bob4o$111bo
2$110b2o3b2o$110b2o2b3o$111bobo$110bo$109bo3b2o$109bo4bo$109bo3b2o$
109bo5b2o$112bo$110b3o$112bobo$113bob2o$114b4o2$120bo$119b2o$102b3o10b
3obobo$56b2o44bo13bobo$55b2o46bo18bo$57bo47b2o9bo2b4o$59b2o45bo10bo4bo
$58bo42bo16bo3bo$100b4o19b2o$57bo2bo39bo2b2o17bobo12b2o$49b2o5b2o44bo
19bo13b2o3bo$48b2o5bo45bo2bo16bo16bob2o$50bo4bobo40bob6o13bobo18b3o$
52b2o2bo40b6ob2o13bo2bo17bo$52b2o43bo2bo18bobo20b3o$56bo42b2o18bobo13b
2obo4b2o$55bobo42bo2b2o5b3o5b3o14bob2o3bobo115b2o40bo$55bo2bo2b2o34bo
4b2o6bo8bobo7b2o4bob2o3b3o114b2o3bo36b2o$58bob3o35bobob2o7bo6bo9b2o6bo
5b3o7bo108bob2o36bobo$56b2o3bobobo12b3o2b3o14b2obo2bo10b2o2b2o6bobo4b
2o4bobo6b5o107b3o$60bobo2bo12bobo2bo17bo4bo3b3o6bo9b3o4b2o2b2o9bo2b2o
107bo40b2o$59b3obobo6b3o2bo2b3o2bo20bo2bo4bob2obobo7b2o6bobo13b2obo
108b3o36b2o$59bo3b3o4bo4bobo4b2obo9b2o4bobo4bo5b4obobo9bobo3b2o3bo123b
2o$60bo8b2o2b3o3b3obob2o3b3obo2bo5b2obo4bob2o4bo2bo14b4o15bobo107b2o
34b2o$63b10obo5bo4b2o2bo2bo2bo2bo7bo15bo10bobo130b2o33bo2bo$64b2o3bo9b
3o2bobo7bo24bo2bo12b4o10b3o6b3o105b2o32b2obo$67b2o4bo4bo6bo2bo5b2obo
15b2o2b2o3bo2b3o7b4o5bo4bo2b3o4b3o104b2o28b3o$49b2o22bo15b2o2b2obobobo
8bo3bobo2bo3bo2bo10b2o5b2o5b2ob5ob3o105b2o27bo$48b2o44bo2bo2b3o5b2o3bo
8bo2bo3bo13bobo3b3o4b2ob2o100b2o5bo23b2o3bo$50bo27bo13bo2b4o2b3o4bobo
5bobo3bo3bo2bo25bobo103bobo2bo24b2o5bob2o$52b2o23b2o5b2o2bob2o4b2obob
2o14b2o3bob2o3bo15b3o6bo2bo103bo3bo27bo5b3o$51bo25bobo2b2obobobobo2bo
5b4obo5b2ob2o3bo2bobo2bo16b3o7bo109b2o2b2o25bob4o$72b2o7b3obo3b2o9bo4b
o4bo4b3o3bo2bo2bo18bobob4o2bo111bobo12bo2b2o6bo2b2o$50bo2bo17b3o6bo2b
3o19bobo2b2o3b4ob2o26b2ob2o112bo17b2obo2bo3b2o$47b2obo13bob2o2b4obo15b
2o14bob3obo6bo21bo5b6o111bobo11b3o7bobob3o$46b2o4bo10b2ob2obo13b2o3bo
3b2o19b3ob2o20bo3bo121b3o4b3o3b3o8bobo$48bobo2bo9bobo3b2o4b3o5b2obob2o
2b2o3b3o14b2o22bo6b2o125bo2b2obo4bo2bo$53bo10bo5b2ob2o3bo4bo3bo9bo12b
2o25bo7bo119bo13bo3bo$50bo2bo7bo3bob5ob2o2bobo9b2o7bo7b3ob3o4b3o17bo6b
2o119bobo5bo4b5ob2o$51bobo5b4o2bo3bo2bobo2bo2bobo7bo9b3o2bobo5b2ob4o
18bob2o124b2o4bobo4bob2o15b3o5b3o$51bobo4b2o4bo2b2o11bo4b4o12b4o10b2ob
o21bo4bo121bobob2o9bo15bo5b2ob2o$52b2o4bo19b2o2b2o3b2ob2o11bo3bobo5bo
22b2o3b3o125bo10bo18bobo$52bo37bo13bob2o6b2o22b2o129bo13b2o17bob2o$88b
obobo13bobobo2b2o154bo23b2o2bobobo$81b3o2b2obobobo9bo3b3o5bo150b4o18b
2o2b2obob2obo$81bo4b2o3bobo9bo3bo4bo2bo22bo2b2o123bo20b2o5b2obo$82bo3b
2o3b2o9bobobo2b2o156bobo5b2o12bo$89b3o10bo5bobo3bo23bo2bo6b2o119b3o2b
2o3bo5bo5bo$85b3o3bo7b2ob2o2b4ob3o20bo5bo7b2o102b3o14bobo3bob2obo3b4o
2b2obo$85b2obo2bo7bo2b2obobo6bo19bo117bo16bo5b3ob3o2bo5bo2bo$91bo7bobo
5bo4b3o19bo43b3o74b5o16bo4bo4bo3bo$83b2o5bo12bo2b3o6bo34b2o26bo2b3o63b
3obo3b2ob3o8bo2b2o5b4o3b2ob2o$83b2o3bob2o11bo9bob2ob2o30b2o2b2o23bobo
65bo2bo4b2o3bo10b3o3bo4b2o4bo$83bo3bo2b3o2b3o6bo14bo34b2o28bo57b2o6bo
5bo3b4o7bo3b3o2b3o$82b2obobo7bo17b2ob2ob3o60bo25b2o31b2o5bo7bo2bo2b2o
12b3o5b2o$85bobo3b2o3bo8b4o4b2ob2o3bo11bo50bobo20b2o34bo4b4o4bobo3b2o
5b2o3b2o4b6o$82bo4bo10b3o3bob4o6b2ob3o10b5o40b2obo6bo21bo35b2o4bobo6bo
b3o4b2o7bo4b2o$81bo2b2o3bo9b5o11b3ob2o11bo2b2o39b2o3bo2bo2bo23b2o32b2o
13bo8b2o2b2o3b2obo$81b4o5bo10bo17b3o12b2obo9bob2o10b3o6b3o4bo2bo2bo3bo
22bo49b4o6bob3o2bob2o63b2o$80bob2obo2b3o4b2o4bo3b2o15bo22bo4bo19bo6bo
2bo2bo3bo43b2o70b3o38bobo$79b2o9b2o3bobo5b2o11b2o19bobo4bo4b2o8bo5bo7b
o3bo6bobo22bo2bo17b3o28bo10b2o21b3o5b2ob2o36bo$79bobo3b2o8bo3bo3b3o10b
o2bo27b2o10bo5bo4bo2bo8b2o22b2obo13bob2o2b4obo21b2ob3o19bo13bo7bo2b3o
38bo$78bo7bo11b2obo2b2o5b3o3bo2bo9b3o6b3o2b2o13bo5bo5bo2bo6b3o21b2o4bo
10b2ob2obo26b2o3b2o4b3o3bo7b2o14bo2b4o3b2o2bo37bo$79b2o6b2o10bo4bo6bo
4bo3bo4bo4bo2b3o4b3o29bo5bo3bo24bobo2bo9bobo3b2o4b3o20bobo6bo2b2o9bobo
16bo7bo2bo30bo3bobobo$105bo6bo2b2o7b2o5b2ob5ob3o18b3o10bobob2obo30bo
10bo5b2ob2o3bo23bobo3bo2bo2bo13b3obobo2bo2b3o38b2o2b3o$89b2o3b3o2b3o3b
2o8b2o7bobo3b3o4b2ob2o34b2o31bo2bo7bo3bob5ob2o2bobo22bobo5b5o9b2o2b2o
2b2o2b3o2bo6bo32bob2obo$86bo7bo4b3o4b2o28bobo28b2o11bo29bobo5b4o2bo3bo
2bobo2bo2bo2b2o28bobo8b2o2bobo2bobo2bo3bo4b5o26b2obo2bo$80bo4b3o7bo19b
obo8b3o6bo2bo14bo13b2o41bobo4b2o4bo2b2o11bob3o16bo2bo20bobo2bo3b2ob2o
8bobo4b2o19bobo2b3obo$79b2o3bo2bo9bobobo5bobo5bobo7b3o7bo17bo23bo2bo
30b2o4bo19b2o3bobobo11b2ob2o3b2o2b2obo10b4obo4b3o16bobo3b3o9b2obo4bo$
79bobobo2bo11bo3bo4bobo5bo11bobob4o2bo15bo57bo29bobo2bo6b2obob2o3bob3o
4bo7bo3bo2b3o4bobo4bo11bo5bo11b2o2b4o$84bobo2bo9bob2o3b3o8b2o10b2ob2o
106b3obobo6b2o3b5o3bo4bo6bob2obobo14b2o19bo5b2o2bo$83bo4bobo10b2o3b2o
8bo12b6o105bo3b3o4bo6bo4bo6b2o5b2o2bo12bo5bobob2o2b2o6b3o7b2obo4bo$84b
2o4bo13bo3bo7bobo122bo8b7obobob8ob2o5b2obo2bo8b2o4bobo2b2o2b3o3b2o4bo
6bo5b2obo$82bo2bo3bo13b3o7bob2obo125b11o3bobob11o4bobo6b2o4bo2bo2bo2bo
3b2o4bob4obob5o2b3o3b2obo$79b5o3bo15b3o6b3o130b2o3bo13b5o7bo2bob2ob2o
9bo2b2o2b3obobobobo3b4o2bo3b2obo$79bo17bo5b2o7bo4bo130b2o17bobobo4bo3b
2o2b2o3b3o2b2o3bob2obo2bo2b3o2bo3bo2b2o2bo$80bo4bobobo6b5o2b2o155b2o4b
3ob2o4b2o3bob3o2b2o6bo3b2o3bo4bo4bo9b2o$83bo12bo2b2o11bo4bo141bo2bo5b
6o2b2o6b2o2b3o3b2o2b2ob2o2bo3bo3bo$80b3o5bobo7b3o10b2o3b2o70bo62b2o5b
2o2bo2b2o9bobobobobobobo2bo16b2o9bo$80b2o6b2o22bob2o53b2o18bo60b2o5bo
4bo6b3o4bo2b2obob2o2bob3ob2obo3b2o2bo2bo9b2o$80b2o6bo22bo2b2o53b2o15b
3o63bo4bo2bo8bo6bo5b2obo3bob2o2bo2bob2o2b4o3b2o5bobo$97b3o11b2obo69bob
3o65b2o2b4o7bo8bo3bo2bo3bobobobo2bo5bo5b3o$85b2o2bo7b3o11b3o70bo69b2o
4bo3b2o12b4obob5o4b2o3bo8bo3b2o7b2o$85bo25bob2obo67b2o74b3ob4o11bo8b2o
5bo3bo6bo2bo3b2o6b2o$85bo10b2o13b2o3bo69b2o70b2ob2o5bo6bo4b5obo6b4o10b
o7bo$86bo9bo14b2o3bo69bobo67b2ob2o7bo4bobo5b4obo2b2obo2b2o4b3o5bo2b2ob
2o2b2o$86b2o24bo59bo13bobo65b2obo4bo11b2o19b2o4bo6bo9bo2bo$86b2o26bo
57bo14bo66bo4b3o5bo34bo4b3o7b2o2bo$114bob2o54bo82b2o4bobo2b2o36b4o$64b
3o48bo2bo139b2ob2ob2ob3o35b2o12bo$64bo54bo140b4ob2o14bo37bo$57b3o6bo
44b2o149b2o2bo12bobo$57bo6bobo43b2o5bo139b2o4bo6bo9b2o$58bo4b2ob4o42bo
4b2o138b2o2b2o3b2ob2o$60b4ob5ob2o41b2o140bobo8b2o$61b2o7b2obo40b2o139b
2o11bo$254b3o10bo3bo15bo$255bo6b3o2bo2bo14bobo$188b2o57b2obo3bo7bo5bo
2bo14b2o$70bo117b2o57bob2o2b2o8bo3b3o$71bo175bob2o14bobobo2bo$70bobo
175bo19bo2bo$69b2o177b2o43bo$69bobo126b3o38b2o2bo4b2o18bo22bobo$69bo
127b2ob2o36b2o4bo2b2o20b3o20b2o$65b2ob2o126bo3b2o38b2obo2b3o21bo$65bob
4o123bobo4b2o39b2o2bo$65bo128bo6bo47bo18b3o$199b3o44bo2bo11b2o4bobo29b
o$64b2o3b2o128bo47bo13bobo3b4o26bobo$64b2o2b3o177bo12bo6bo29b2o$65bobo
196bo$64bo199b2o$63bo3b2o$63bo4bo236bo$63bo3b2o121bo112bobo$63bo5b2o
118b5o110b2o$66bo122bo2b2o16b2o$64b3o124b2obo14bo2bo$66bobo143bo$67bob
2o123bobo114bo$68b4o137bo3b2o8bo26b3o35b3o18bobo$196b3o15bo8bo28bo37bo
19b2o$74bo122b3o6bo4b2o10bo27bo37bo$73b2o119b6o7b2o6bo$56b3o10b3obobo
131b2o5bobo36bo$10b2o44bo13bobo124bo8bo5b2o38b6o59bo$9b2o46bo18bo120bo
8b2o4bo2b2o35bo6bo55bobo$11bo47b2o9bo2b4o120bo8b2ob2ob3o38bo5bo56b2o$
13b2o45bo10bo4bo131b2o47b2obo$12bo42bo16bo3bo114b3o3b2o55b2o$54b4o19b
2o112bo62bobo65b2o$11bo2bo39bo2b2o17bobo12b2o99bo2b2o125b2o$3b2o5b2o
44bo19bo13b2o3bo99b2ob2o53b4obo$2b2o5bo45bo2bo16bo16bob2o94bo4bo48b2o
7bo64bo$4bo4bobo40bob6o13bobo18b3o92b4ob2o47b2obo4b2o5bobo56bobo$6b2o
2bo40b6ob2o13bo2bo17bo94bo54bo3b2obo2bo4b3o55bobo$6b2o43bo2bo18bobo20b
3o91b2o3bo48bo3bo2bo4bo3bobo55bo$10bo42b2o18bobo13b2obo4b2o90b6o49bo4b
obo3bo6b2o62b3o$9bobo42bo2b2o5b3o5b3o14bob2o3bobo81b2o6b2o54bo2bo13b3o
$9bo2bo2b2o34bo4b2o6bo8bobo7b2o4bob2o3b3o81bobo3b2o2bo56bo3bobo10bo59b
o5bo$12bob3o35bobob2o7bo6bo9b2o6bo5b3o7bo73bo5b3o56b2o7bo7b3o3bo55bo5b
o$10b2o3bobobo12b3o2b3o14b2obo2bo10b2o2b2o6bobo4b2o4bobo6b5o73bo63bo5b
3o7bobobob2o53bo5bo$14bobo2bo12bobo2bo17bo4bo3b3o6bo9b3o4b2o2b2o9bo2b
2o73b2o69bo2bo5b3obob2o$13b3obobo6b3o2bo2b3o2bo20bo2bo4bob2obobo7b2o6b
obo13b2obo144b3obo4bob3o57b3o$13bo3b3o4bo4bobo4b2obo9b2o4bobo4bo5b4obo
bo9bobo3b2o3bo117b2o2bo37b2ob3o4bobo$14bo8b2o2b3o3b3obob2o3b3obo2bo5b
2obo4bob2o4bo2bo14b4o15bobo100b2o43b2ob2o3b2o$17b10obo5bo4b2o2bo2bo2bo
2bo7bo15bo10bobo125b2ob2obo38b2o4bo2b2ob3o$18b2o3bo9b3o2bobo7bo24bo2bo
12b4o10b3o6b3o102bobo2bo39b4obo2bo$21b2o4bo4bo6bo2bo5b2obo15b2o2b2o3bo
2b3o7b4o5bo4bo2b3o4b3o100bob5o37b3obobob3o3bo$3b2o22bo15b2o2b2obobobo
8bo3bobo2bo3bo2bo10b2o5b2o5b2ob5ob3o99b2ob3o38bo2b2o3bo63b2o$2b2o44bo
2bo2b3o5b2o3bo8bo2bo3bo13bobo3b3o4b2ob2o100b2o43b2o3bobo4bo57bo2bo$4bo
27bo13bo2b4o2b3o4bobo5bobo3bo3bo2bo25bobo103bo2bo41b2o3b3o63bobo$6b2o
23b2o5b2o2bob2o4b2obob2o14b2o3bob2o3bo15b3o6bo2bo94bo7b2obob2o111bo$5b
o25bobo2b2obobobobo2bo5b4obo5b2ob2o3bo2bobo2bo16b3o7bo96b2o6bo3b2o3bo
42bo3bo66bo$26b2o7b3obo3b2o9bo4bo4bo4b3o3bo2bo2bo18bobob4o2bo94bobo2b
4ob2o5bo42bo69bobo$4bo2bo17b3o6bo2b3o19bobo2b2o3b4ob2o26b2ob2o100bob3o
3bo5bo2bo40bobo67bobo$b2obo13bob2o2b4obo15b2o14bob3obo6bo21bo5b6o100bo
4b2o121bo$2o4bo10b2ob2obo13b2o3bo3b2o19b3ob2o20bo3bo107bobob2obobo7b4o
$2bobo2bo9bobo3b2o4b3o5b2obob2o2b2o3b3o14b2o22bo6b2o106b4o2bo$7bo10bo
5b2ob2o3bo4bo3bo9bo12b2o25bo7bo109b2o2bo9b5o$4bo2bo7bo3bob5ob2o2bobo9b
2o7bo7b3ob3o4b3o17bo6b2o107bobo6bo9b3ob2o$5bobo5b4o2bo3bo2bobo2bo2bobo
7bo9b3o2bobo5b2ob4o18bob2o112b2o4b2o2bo7bobobobo$5bobo4b2o4bo2b2o11bo
4b4o12b4o10b2obo21bo4bo118bobo4bo$6b2o4bo19b2o2b2o3b2ob2o11bo3bobo5bo
22b2o3b3o116bobobo4b2o$6bo37bo13bob2o6b2o22b2o124bobo2b2ob2ob3o$42bobo
bo13bobobo2b2o151b3ob2obo6bo$35b3o2b2obobobo9bo3b3o5bo150b2o3b2obo3bob
3o$35bo4b2o3bobo9bo3bo4bo2bo22bo2b2o124b2o4bobo3bo$36bo3b2o3b2o9bobobo
2b2o160bo2bo2b2o$43b3o10bo5bobo3bo23bo2bo6b2o117b2o2bo6bo$39b3o3bo7b2o
b2o2b4ob3o20bo5bo7b2o117bo3bo3bo$39b2obo2bo7bo2b2obobo6bo19bo133bo4bob
2o$45bo7bobo5bo4b3o19bo43b3o93bo$37b2o5bo12bo2b3o6bo34b2o26bo2b3o88b2o
$37b2o3bob2o11bo9bob2ob2o30b2o2b2o23bobo91bo$37bo3bo2b3o2b3o6bo14bo34b
2o28bo88bo$36b2obobo7bo17b2ob2ob3o60bo$39bobo3b2o3bo8b4o4b2ob2o3bo11bo
50bobo$36bo4bo10b3o3bob4o6b2ob3o10b5o40b2obo6bo$35bo2b2o3bo9b5o11b3ob
2o11bo2b2o39b2o3bo2bo2bo229bo$35b4o5bo10bo17b3o12b2obo9bob2o10b3o6b3o
4bo2bo2bo3bo227bobo$34bob2obo2b3o4b2o4bo3b2o15bo22bo4bo19bo6bo2bo2bo3b
o228b2o$33b2o9b2o3bobo5b2o11b2o19bobo4bo4b2o8bo5bo7bo3bo6bobo$33bobo3b
2o8bo3bo3b3o10bo2bo27b2o10bo5bo4bo2bo8b2o239b3o$32bo7bo11b2obo2b2o5b3o
3bo2bo9b3o6b3o2b2o13bo5bo5bo2bo6b3o238bob2obo$33b2o6b2o10bo4bo6bo4bo3b
o4bo4bo2b3o4b3o29bo5bo3bo239b3ob3o$59bo6bo2b2o7b2o5b2ob5ob3o18b3o10bob
ob2obo245b2o$43b2o3b3o2b3o3b2o8b2o7bobo3b3o4b2ob2o34b2o248b2o$40bo7bo
4b3o4b2o28bobo28b2o11bo245b2o$34bo4b3o7bo19bobo8b3o6bo2bo14bo13b2o260b
o$33b2o3bo2bo9bobobo5bobo5bobo7b3o7bo17bo23bo2bo246bobo$33bobobo2bo11b
o3bo4bobo5bo11bobob4o2bo15bo274bo$38bobo2bo9bob2o3b3o8b2o10b2ob2o$37bo
4bobo10b2o3b2o8bo12b6o$38b2o4bo13bo3bo7bobo$36bo2bo3bo13b3o7bob2obo$
33b5o3bo15b3o6b3o$33bo17bo5b2o7bo4bo$34bo4bobobo6b5o2b2o$37bo12bo2b2o
11bo4bo$34b3o5bobo7b3o10b2o3b2o70bo$34b2o6b2o22bob2o53b2o18bo$34b2o6bo
22bo2b2o53b2o15b3o$51b3o11b2obo69bob3o$39b2o2bo7b3o11b3o70bo$39bo25bob
2obo67b2o$39bo10b2o13b2o3bo69b2o246b2o$40bo9bo14b2o3bo69bobo244bo2bo$
40b2o24bo59bo13bobo245bobo$40b2o26bo57bo14bo247bo$68bob2o54bo266bo$69b
o2bo319bobo$73bo318bobo$65b2o326bo$64b2o5bo$66bo4b2o$68b2o$68b2o3$142b
2o$142b2o4$152b3o$151b2ob2o$150bo3b2o$148bobo4b2o$148bo6bo$153b3o$153b
o282bo$436bo$436bo2$432b3o3b3o2$144bo291bo$143b5o288bo$143bo2b2o16b2o
270bo$145b2obo14bo2bo$166bo$148bobo$163bo3b2o8bo26b3o35b3o35b3o35b3o
35b3o35b3o35b3o73b3o111b3o111b3o111b3o111b3o$150b3o15bo8bo28bo37bo37bo
37bo37bo37bo37bo75bo113bo113bo113bo113bo$151b3o6bo4b2o10bo27bo37bo37bo
37bo37bo37bo37bo75bo113bo113bo113bo113bo$148b6o7b2o6bo$161b2o5bobo36bo
265bo$151bo8bo5b2o38b6o260b2o$151bo8b2o4bo2b2o35bo6bo258bobo$151bo8b2o
b2ob3o38bo5bo$162b2o47b2obo260b2o$145b3o3b2o55b2o207b2o2bo53b2o$145bo
62bobo205b2o5bo$146bo2b2o266bobo3b4o44bob2o27b3o$149b2ob2o53b4obo204b
2ob4o46b4o28bo$144bo4bo48b2o7bo209b3o4bobo43bo3b2o27bo$143b4ob2o47b2ob
o4b2o5bobo206bo53bo2bo4b2o21b2o$143bo54bo3b2obo2bo4b3o205b5o56b2o18b3o
2bo$144b2o3bo48bo3bo2bo4bo3bobo194b2obo2b2o2b2o2bo2bo45b2o3bo4bo16bo$
143b6o49bo4bobo3bo6b2o192b2o3bob3o4b4obo44b2o3bo22bo2bobo$134b2o6b2o
54bo2bo13b3o193bo2bo3b2o4b2o49bo9b3o17bobo$134bobo3b2o2bo56bo3bobo10bo
192bo2bo2b2o3b3o50bo7bob4o12bo$134bo5b3o56b2o7bo7b3o3bo188bo9bo54b2o3b
6o13b2obobo$137bo63bo5b3o7bobobob2o177b3o14bo4bo54b2o4b2o7bob2o3bo3bo$
137b2o69bo2bo5b3obob2o177bo2b4obo8bo4b2o53b2o4bo7b2ob2obob2o$209b3obo
4bob3o180b3ob4obo67bo7bo4bobo3bobo$168b2o2bo37b2ob3o4bobo182b3o2bobo6b
2obo4bo52bo7bo13bo$167b2o43b2ob2o3b2o197bo5b2o24b2o28b2o4bo$169b2ob2ob
o38b2o4bo2b2ob3o183bo3b3o6bo2bo22b2o36bo4bobo$171bobo2bo39b4obo2bo186b
2o3bo10bo62bob2obo19b2o$170bob5o37b3obobob3o3bo188bo8b2o62b2o23bobo$
169b2ob3o38bo2b2o3bo201b2o65bo2b2o20bo$169b2o43b2o3bobo4bo195b2o67b2o
25bo$169bo2bo41b2o3b3o202bobo63b3o25b2o$160bo7b2obob2o249b2o3bo17b2o2b
o34b2o2bo27b2o$159b2o6bo3b2o3bo42bo3bo200bo3b2o16b2o5bo31b2o2b2o26b2o$
159bobo2b4ob2o5bo42bo204bo3bobo16bobo3b4o30bo2b2o24b2o$161bob3o3bo5bo
2bo40bobo202bo22b2ob4o35bo24b2o2bo$162bo4b2o259b5o14b3o4bobo32b2o20bo
2b3o4b2o$159bobob2obobo7b4o245b2ob2o2b3o16bo19bo38b2o9bobo$161b4o2bo
265bo17b5o14b6o14b3o17bobo8bobo$163b2o2bo9b5o245bo3bobob2o4b2obo2b2o2b
2o2bo2bo11bo6bo14bo12b3o3bo10b3o$161bobo6bo9b3ob2o242bo11b2o3bob3o4b4o
bo11bo5bo14b3o10bo6bo2bo6bobo$162b2o4b2o2bo7bobobobo242bob2o8bo2bo3b2o
4b2o19b2obo15bo11bo4bo10b3o$172bobo4bo261bo2bo2b2o3b3o17b2o20b3o11bob
2o3bo6b2o$170bobobo4b2o260bo9bo20bobo21b6o5b5o11bo$172bobo2b2ob2ob3o
246b3o14bo4bo41b7obobo10bo4b3o$174b3ob2obo6bo243bo2b4obo8bo4b2o15b4obo
16bo8b2o3bobo6b5o6bo$174b2o3b2obo3bob3o242b3ob4obo19b2o7bo21bo12bobo7b
o6b2ob2o$175b2o4bobo3bo247b3o2bobo6b2obo4bo3b2obo4b2o5bobo14bo$179bo2b
o2b2o262bo5b2o5bo3b2obo2bo4b3o17bo18bob2o$175b2o2bo6bo255bo3b3o6bo2bo
3bo3bo2bo4bo3bobo14b3o19bo$175bo3bo3bo257b2o3bo10bo4bo4bobo3bo6b2o28bo
15b2o$176bo4bob2o262bo8b2o4bo2bo13b3o27b5o2b2obo6bobo$182bo270b2o10bo
3bobo10bo26bo2b2o2b4o6bo$180b2o270b2o9b2o7bo7b3o3bo24bobo3b2o2b2ob2o$
181bo272bobo8bo5b3o7bobobob2o23bo11bo$181bo272b2o3bo12bo2bo5b3obob2o
20bo2bob3o3bo$454bo3b2o13b3obo4bob3o25bo2b2o2bo4bo5bo$454bo3bobo13b2ob
3o4bobo23b3o2bo3bo9b2o$454bo21b2ob2o3b2o25bobobob3ob2o6bob5o$458b5o15b
2o4bo2b2ob3o18bo3b4o3bo2b2o5bo4bo$455b2ob2o2b3o15b4obo2bo22bobo3bo7bo
2bo2bo5bo$463bo14b3obobob3o3bo24bo6bo2b2o10bo$457bo3bobob2o10bo2b2o3bo
30bo9bo6b2ob2o2bo$458bo19b2o3bobo4bo26bo14b2o2b2o3bo$459bob2o15b2o3b3o
48bobo$536bo2bobo$483bo3bo48b2o3bo$483bo53b3o$483bobo51bo$539bo$539bo!

[dbell]

Is this new? I don't remember seeing it.

One of the high clearance diagonal c/4 sparking spaceships can turn backwards gliders into blinkers. This means that we have small blinker puffers to go along with almost all of the rakes.

Code: Select all

#C A diagonal c/4 period 20 blinker puffer.
#C This uses a period 20 backwards rake whose gliders are perturbed
#C by a sparking spaceship to become blinkers.  The same reaction works
#C for all diagonal c/4 backward rakes having a period of 20 or more.
x = 145, y = 102
29bo$28boo$28bobo$$31boo$31boo$$27boboo$26b4o$26bo3boo$31bobbo$$29b3o
3bo$26boo3bo$26bobboboboo$26bobo34bo$33bo17boo9boo$33bo16boo3bo6bobo$
8boo21bo20boboo15b3o$7boo22bobo20b3o5bobo4booboo$9bo21bobo20bo6boobobo
bo$11boo18bo24b3obo6boboo$10bo21bobbo21boo7bo$35b3o19boo5boo$9bobbo19b
oobobo21b5o$boo5boo22boobboo$oo5bo25boo$bbo4bobo24bo10boo6bo$4boobbo
24bo11bobo4boo6bo$4boo26b6o7bo6bobo4boobo$8bo22bo3bobo10bo9boobbo$7bob
o22bobo13boo4bo$7bobbobboo35b3obboo3bo$10bob3o16bobbo13boo4bo4bo24bo$
8boo3bobobo11booboo3boo4boboobo7bo15boo9boo$12bobobbo6booboboo3bob3obb
oo28boo3bo6bobo$11b3obobo6boo3b5o3bo3boobbo27boboo15b3o$11bo3b3o4bo6bo
4bo9b3obo26b3o5bobo4booboo$12bo8b7obobob8oboobbobo26bo6boobobobo$15b
11o3bobob11obbobo28b3obo6boboo5b3o$16boo3bo13b5o38boo7bo9bo$19boo17bob
obo35boo5boo11bo$37b3oboo37b5o15boo$23boo3b4obobboob5o57bo$22boo3bo3bo
bo$23bobob3obobo6b3o55bo29boo$23b3oboobo9bo9bo9bo9bo9bo14b4obo26boo$
24bobbo12bo9boo8boo8boo8boo13bo4bo28bo$25bo3boo18bobo7bobo7bobo7bobo
14bo4boo5boo21bo$16boo4bobobooboo67bobb3o4bobo16b6o$15boo4boobobobbo
72boo4bo18bobbo$17bobboo4bo4bo7bo15bo43booboo7bo15b6o$19boo5bo3bo7b7o
9boo26bo7bo9boboo6bobbo14bo3bo$20bo3bobobo9bo6boboo5bobo23boo9boo7bobo
7bobbo13boo$20bo15bobobbobbobb3o31boo7boo9boo4b3obbo12boob3o$16boobo3b
o11b3o3bo5bobo7boo46bobobbo11boobbo3bo$15boo5bo12bobboobo5bobb3o3b5o
43boob4o7b3ob3obo$17boo22bo3boo5boobbo4bo9b3o31boboo9bo5bobo$11boo4boo
bo22bob3o6bobboobbo9bo33bobo4b3o4bo7boo$10boo5bo4bo20b3o4b3o4boo13bo
33boo13bo$12bobboobobo23boo3boo3bobo17boo37bobo$14bo6bobo16boob3obbo3b
ooboo3boboo11bo39bobb4o19bo$14bobo4boo16boo3bo13b3obooboo15bo17bo14boo
boo20boo$12boobo5boo18bobo4bo3boboobbo4bobbo5bo7boo19boo15bo21bobo$11b
oo4bo29boo10boo8b4obo6boo17boo14boo$11bobooboobo28bobbo6boo3bobo3bo4bo
41bo26boo$41boo3bo4bobboo3bo5bo4bo4boo34boobo28boo$7boo3boobo24boo3b3o
6bobobobbo3bo6bobb3o33bo3bo$6boo4b3obo25bo6bo4bo9boo10boo33bo3bo25boo$
7bobobboo4bo25bobb3obo6bo4boo8booboo35bobo24bobbo$7b3o4bobo30bobobo6bo
bbo12boboo61boobo$7boo6boo26b3oboboo8bobo12bobo37bobo18b3o$9bob3oboo
26booboboo25boo33bo24bo$14bobo28bobboo12bo48boo3boo13boo3bo$9bo6bobo
25bo3boo11boo47boo6bo11boo5boboo$9bo4b3o27bob3o13bo56boo11bo5b3o$8bo3b
oo32b3o13b3o69bob4o$8bobo7boo37boobbo58bobobboo6bobboo$8bo10bo23boo4b
oo5boobo3bobo56boobobbo3boo$4booboo10b3o20boo14boo4bo63bobob3o$4bob4o
9bobo21boo15boobboo62bobo$4bo14bo23b3o18boo57bobo$22bo20bo19boo55bo$3b
oo3boo7bobb3o21boo14bo60boo$3boobb3o6b5o38b5obboo52boo$4bobo9bobbo39bo
bboo$3bo14boo41b3o$bbo3boo11bobboo$bbo4bo8bo4boo$bbo3boo9boboboo37b3o
66b3o$bbo5boo9boobobbo34b3o$5bo14bo4bo$3b3o19bo33boo$5bobo12bobo4b3o
29bo$6boboo12boobo$7b4o14bo$$bb3o$bbo6boo$3bo4b3o$5b4o$6boo!

So now backward gliders can be directly turned into blocks, loafs, or blinkers.

EDIT:

Adding a second spaceship does other things.

Code: Select all

#C A diagonal c/4 convoy turns a backward glider into a beehive.
x = 68, y = 70
21bo$20boo$20bobo$$23boo$23boo$$19boboo27b3o$18b4o28bo$18bo3boo27bo$
23bobbo4boo21boo$30boo18b3obbo$22boo3bo4bo16bo$22boo3bo22bobbobo$14bo
8bo9b3o17bobo$15bo7bo7bob4o12bo$13b3o8boo3b6o13boobobo$27boo4boo7boboo
3bo3bo$27boo4bo7boobooboboo$28bo7bo4bobo3bobo$7boo19bo7bo13bo$7bobo19b
oo4bo$oo5bo29bo4bobo$obo3boobbo27boboobo19boo$o11bo11bo13boo23bobo$3bo
3boo3b3o10bo12bobboo20bo$3boo4boo4bo7b3o13boo25bo$9b7o22b3o25boo$10b4o
20boobbo27boo$17bo15boobboo26boo$16b4o15bobboo24boo$20bo16bo24boobbo$
15b6o16boo20bobb3o$9b3o3boboo39boo$9bo5bobo16bo3b3o17bobo$10bobbooboo
17bo4bo12b3o3bo$12bo14b3o3b3o4b3o10bo6bobbo$15bo3bo7bo14bo11bo4bo$13b
oo4bobo8bo11b3o11boboo3bo$19bo7bo4bo11b6o5b5o$21b3o4b3o13b7obobo$23bob
oo5bobo15boo3bobo$25bo8bo19bobo$17boo3b3o10bo$17bobobboo12bo7boo$17bo
4bo13bobo6bo$20bobo20b3o$16boo20boo$16boo21bobbo$17boo$15bo22boobbo$
15b4o19bo$7bobb3obo4bo$6boobbob4o3bo19b3o$6bobobobobbo$10b3obboo18bo4b
oo$9boobo21boo$10boboo20bobobboo$38b3o$37bobbo$32boo$32bobobboo$32bobb
oboo$36boo$31bo3b3o$23boo5boo3boo$22boo5bo$24bo4bobo$26boobbo$26boo!

Code: Select all

#C A diagonal c/4 convoy turns a backwards glider into a large reaction.
x = 68, y = 73
21bo$20boo$20bobo$$23boo$23boo$$19boboo27b3o$18b4o28bo$18bo3boo27bo$
23bobbo4boo21boo$30boo18b3obbo$22boo3bo4bo16bo$22boo3bo22bobbobo$23bo
9b3o17bobo$23bo7bob4o12bo$24boo3b6o13boobobo$27boo4boo7boboo3bo3bo$27b
oo4bo7boobooboboo$28bo7bo4bobo3bobo$28bo7bo13bo$29boo4bo$37bo4bobo$7b
3o28boboobo19boo$7bo30boo23bobo$3o6bo28bobboo20bo$o6bobo29boo25bo$bo4b
oob4o25b3o25boo$3b4ob5oboo18boobbo27boo$4boo7boobo16boobboo26boo$35bo
bboo24boo$17bo19bo24boobbo$17bo19boo20bobb3o$16bobboo37boo$16boboobo
16b3o17bobo$10boo4boo22bo12b3o3bo$10bobobb3o18bo3b3o10bo6bobbo$10bo3bo
22bo4bo11bo4bo$13boo3bo9boo5b3o4b3o11boboo3bo$13bo4bo9bobo13b6o5b5o$
20bo7bo15b7obobo$14boo4boo7b3o18boo3bobo$23boo4bob3o20bobo$23b3obo4bo$
30boobbo$23bo3bo6bobo$17b3obboobo$17bo4boo12bobo$19bobboo$17bobo18bobo
$17boo22bo$17bobo18bobbo$38bobbo$15boo21bobbo$12bobbooboo$7booboo3bobb
o20bobo$6boo3bo29bo$8bobobobb3o$35boo4bo$10b3obbo18boo4boo$10boo24bobb
oboo$38booboo$$32b3obbo$32bobb3obo$33b6o$$24bo6boo$23boo5bobbo$23bobo
3boobo$27bo$26bo$26bobbo!

Code: Select all

#C A diagonal c/4 convoy turns a backwards glider into a large reaction.
x = 68, y = 59
21boo$20boo$22bo$24boo$23bo$$22bobbo25boo$19boobo28bobo$18boo4bo26bo$
20bobobbo6bo21bo$25bo5boo18bobb3o$22bobbo5bobo16boobo$23bobo25boob3o$
23bobo8boo$24boo7b4o13bo$24bo5bobo16boboobo$28b3obbo12boboobobo$28bo3b
oo8boob3oboboo$28bobo10boo7boo$29boo4boo6boboo3boo$7boo20bo6boo$7bobo
26boo5bo$oo5bo30bobbobbo$obo3boobbo27b4obbo18b3o$o11bo28bo21bo$3bo3boo
3b3o23boo24bo$3boo4boo4bo24bo25boo$9b7o19bo31bo$10b4o20b5o$17bo16bobb
oo25boo$16b4o44boo$20bo15boobbo22bobo$15b6o38booboo$9b3o3boboo19bobo
17booboobo$9bo5bobo36boo3boboo$10bobbooboo22b3o11bobobbobbo$12bo14b3o
24bo7bo$15bo3bo7bo10bo3bobo3bo10bobbo$13boo4bobo8bo5bobo9bo7b4obo$19bo
7bo4bo4boo5bobobo7boo$21b3o4b3o15b3ob3obo$23boboo5bobo11b3o5bobbo$25bo
8bo12boo8bo$17boo3b3o10bo$17bobobboo12bo$17bo4bo13bobo$20bobo$16boo13b
o6boo$16boo12b5o4bobbo$17boo5boo4bo6boo$15bo8bobo11bo$15b4o5bo5boboo6b
obo$7bobb3obo4bo5boo4bo4bobo$6boobbob4o3bo5bobbo6b3o$6bobobobobbo9bo6b
ooboo$10b3obboo10bobobobbo$9boobo$10boboo15bo4bo$30b4o!

We can build a backwards glider to sideways glider converter using this stuff.

There's probably more nice reactions to be found..

EDIT 2:

Here are couple of clean convoys using one of the messy reactions.

The following convoy is not as fast as the previous ones, but is smaller since it doesn't have to create a loaf, flip it, and then animate it. The disadvantage is that the timing of the output glider can't be adjusted.

Code: Select all

#C A diagonal c/4 convoy turns a backwards glider into a sideways glider.
#C The minimum repeat time of this reaction is 64 generations.
#C David I. Bell, 21 March 2024
x = 124, y = 124
21bo$20boo$bbo17bobo$3bo$b3o19boo$23boo$$19boboo27b3o$18b4o28bo$18bo3b
oo27bo$23bobbo4boo21boo$30boo18b3obbo$22boo3bo4bo16bo$22boo3bo22bobbob
o$23bo9b3o17bobo$23bo7bob4o12bo$24boo3b6o13boobobo$27boo4boo7boboo3bo
3bo$27boo4bo7boobooboboo$28bo7bo4bobo3bobo$28bo7bo13bo$29boo4bo$37bo4b
obo$7b3o28boboobo19boo$7bo30boo23bobo$3o6bo28bobboo20bo$o6bobo29boo25b
o$bo4boob4o25b3o25boo$3b4ob5oboo18boobbo27boo$4boo7boobo16boobboo26boo
$35bobboo24boo$17bo19bo24boobbo$17bo19boo20bobb3o$16bobboo37boo$16bob
oobo12bo3b3o17bobo$10boo4boo17bo4bo12b3o3bo$10bobobb3o15b3o4b3o10bo6bo
bbo$10bo3bo27bo11bo4bo$13boo3bo9boo12b3o11boboo3bo28boo$13bo4bo9bobo
13b6o5b5o32bobo$20bo7bo15b7obobo37bo$14boo4boo7b3o18boo3bobo37bo$23boo
4bob3o20bobo38boo$23b3obo4bo62boo$30boobbo59boo$23bo3bo6bobo56boo$17b
3obboobo65boobbo$17bo4boo12bobo30bo18bobb3o$19bobboo44boo17boo$17bobo
18bobo27bobo16bobo$17boo22bo40b3o3bo$17bobo18bobbo28b3o9bo6bobbo$38bo
bbo27b3o11bo4bo$15boo21bobbo29bobo11boboo3bo$12bobbooboo53b6o5b5o$7boo
boo3bobbo20bobo31b7obobo$6boo3bo29bo37boo3bobo$8bobobobb3o65bobo$35boo
4bo$10b3obbo18boo4boo$10boo24bobboboo$38booboo$$32b3obbo$32bobb3obo$
33b6o$$24bo6boo$23boo5bobbo$23bobo3boobo$27bo$26bo$26bobbo5$118boo$
117boo$112boo4bobo$111boo5boobo$113bo5bobo$115boobbobo$115b4obbo$117b
oobboo$110boo6bo4bo$109boo3b3oboo3bo$111bob4obbobo$119bo$113bo3bobbobo
$113bo3bo4bo$75boo41bo$75bobb3o$75bob5obo$76bo6boo$76bo5b3o$76bobbobbo
$79b4o$69boobobbo7bobbo$69boboobboobo3bobbobo$69boboo3bo5bobbobo$70bo
4bo5boo$70boo3bo3bobo$61boobbo4boo6bob3o$60boo4bobboo6b4o$62boobobb3o
7boo3boo$64boobbo9bobo$71bo6bobobboobo$68bobbo3boo6boobo$69bo4boo9bo$
70bo5bo8bobo$81boobbobo$81bo$81bo$83b3o$83b6o$83bo$83boo3bo$83boobbo$
84b3obb3o$86bo4bobo$86b4obobo$86b4obobo$89bo!

The following convoy isn't very useful since it is larger and slower than the existing convoy containing the large loaf-turning spaceship. But here it is anyway.

Code: Select all

#C A diagonal c/4 convoy turns a backwards glider into a sideways loaf.
#C The loaf's orientation makes it ready to be animated later.
#C The minimum repeat time of this reaction is 64 generations.
#C David I. Bell, 21 March 2024
x = 127, y = 91
bo20bo$bbo18boo$3o18bobo$$24boo$24boo$$20boboo27b3o$19b4o28bo$19bo3boo
27bo$24bobbo4boo21boo$31boo18b3obbo$23boo3bo4bo16bo$23boo3bo22bobbobo$
24bo9b3o17bobo$24bo7bob4o12bo$25boo3b6o13boobobo$28boo4boo7boboo3bo3bo
$28boo4bo7boobooboboo$29bo7bo4bobo3bobo$29bo7bo13bo$30boo4bo$38bo4bobo
$8b3o28boboobo19boo$8bo30boo23bobo$b3o6bo28bobboo20bo$bo6bobo29boo25bo
$bbo4boob4o25b3o25boo$4b4ob5oboo18boobbo27boo$5boo7boobo16boobboo26boo
$36bobboo24boo$18bo19bo24boobbo$18bo14bo4boo20bobb3o$17bobboo12bo24boo
$17boboobo9b3o4b3o17bobo$11boo4boo22bo12b3o3bo$11bobobb3o22b3o10bo6bo
bbo$11bo3bo27bo11bo4bo$14boo3bo9boo12b3o11boboo3bo$14bo4bo9bobo13b6o5b
5o$21bo7bo15b7obobo$15boo4boo7b3o18boo3bobo$24boo4bob3o20bobo$24b3obo
4bo$31boobbo$24bo3bo6bobo$18b3obboobo$18bo4boo12bobo25boobo7b3o$20bobb
oo40bo3bo6bo$18bobo18bobo23bo4bo7bo7boo$18boo22bo24boo7bobo4boobo$18bo
bo18bobbo26bobo4b3obobboo$39bobbo32bo3boobboo$16boo21bobbo28boob4oboo$
13bobbooboo51b7o$8booboo3bobbo20bobo$7boo3bo29bo$9bobobobb3o88boo$36b
oo4bo63boobo$11b3obbo18boo4boo64bo$11boo24bobboboo63bobbo$39booboo63bo
3bo$107bobbo$33b3obbo$33bobb3obo$34b6o62boobobb3o$102boboobbobb3o$25bo
6boo68boboo6boo$24boo5bobbo68bo$24bobo3boobo69boo$28bo74boo$27bo67boob
o3b3o7boo$27bobbo64bo3bobbobbo5boo$95bo4bo4boo5boo$97bobobbobbo3b3o$
97boob4o3bob3o$97boobobo$96bobo6boo8boo$96bobbobobobo9bobb3o$101bo3b4o
6bob4o$96boo3bo3boboobboo3bo3bobo$98bo11boobbo9bo$102boo7b4o7b3o$102b
oo9bo4b7obo$118bo$119bobbo3bo$122bo3bo$122bobbo$$123bobo$124bo!

BCNU,
-dbell

[C_R_116]

Here's some 2c/7 technology I've been working on.
Here's an asymmetric partial.

Code: Select all

x = 39, y = 86, rule = B3/S23
6$22bo12bo$21bobo10bobo$20bo3bo8bo3bo$21bo2bo8bo2bo$21bobo4b2o4bobo$
22b3o3b2o3b3o$25bo6bo$17b3o4bo2b4o2bo$18bo9b2o$25b3o2b3o$17bobo$17bobo
$18bo$14b3o$12b2ob2o$12b4obo$11b2o3b2o$16bo$13bobobo$13b2ob2o$13b4o$
16bo$14b2o$14bo$13bobo$13b3o$14b2o$13bo2$12b2obo$13b2o$15bo$13bo$14bo$
13bo$14b2o$14b2o2$12bobo$13b2o2$12bobo$12b2o2$11b2o$12b2ob2o$14b3o$16b
o$13bo$12bob2o$11bo2b2o$12b2o$16b2o$14b2o2bo$12bobobo$11bobo$11b2o$13b
o$11bob2o$11bo2b2o$12bo$13b2obo$14b5o$14bo3bo$14bob3o$13b4o$12bo$11b2o
2bo$10b3ob2o2$12bo4b2o$11bob2ob3o$10b2ob3o2bo$11b2o$10b2o6b2o$11b3o3bo
!

I found this 2c/7 partial with a width-11 zfind search:

Code: Select all

x = 59, y = 90, rule = B3/S23
2bo12bo27bo12bo$bobo10bobo25bobo10bobo$o3bo8bo3bo23bo3bo8bo3bo$bo2bo8b
o2bo25bo2bo8bo2bo$bobo4b2o4bobo25bobo4b2o4bobo$2b3o3b2o3b3o27b3o3b2o3b
3o$5bo6bo33bo6bo$4bo2b4o2bo4b3o17b3o4bo2b4o2bo$8b2o9bo19bo9b2o$5b3o2b
3o33b3o2b3o$18bobo17bobo$18bobo17bobo$19bo19bo$21b3o11b3o$21b2ob2o7b2o
b2o$20bob4o7b4obo$20b2o3b2o5b2o3b2o$21bo15bo$20bobobo9bobobo$20b2ob2o
9b2ob2o$21b4o9b4o$21bo15bo$22b2o11b2o$23bo11bo$22bobo9bobo$22b3o9b3o$
22b2o11b2o$24bo9bo2$22bob2o7b2obo$23b2o9b2o$22bo13bo$24bo9bo$23bo11bo$
24bo9bo$22b2o11b2o$22b2o2bo5bo2b2o2$23bobo7bobo$24bo9bo$22bo2b2o5b2o2b
o$21b4ob2o3b2ob4o$20bo4b2o5b2o4bo$27bo3bo$18b2obo15bob2o$21bo15bo$18b
2o5bob2ob2obo5b2o$21bo3b2obobob2o3bo$21b2o3bobobobo3b2o$24b2obo3bob2o$
21bo15bo$23bo11bo$22bo4b2ob2o4bo$27b2ob2o$26bo5bo$19b2o5b3ob3o5b2o$19b
2obo3bo5bo3bob2o$23bo11bo$19b3obo11bob3o$19b2o5b2o3b2o5b2o$23b3obo3bob
3o$24b2obo3bob2o$23bo11bo$21bobo11bobo$19b3o15b3o$20bo2bo11bo2bo$18bob
3ob2o7b2ob3obo$18bo2b2o3bo5bo3b2o2bo$23bo3bo3bo3bo$18bo2bo2bobo5bobo2b
o2bo$26bo5bo$21bobobo7bobobo$19b2o2bobo7bobo2b2o$19b3obo2bo5bo2bob3o$
21b3obo7bob3o$21bo15bo$20bo17bo$20bo4bo7bo4bo$21bo2b2o7b2o2bo$21b2o3b
2o3b2o3b2o$22bo3b2o3b2o3bo$21bob2o2b2ob2o2b2obo$22b3o2b2ob2o2b3o$20bo
6bo3bo6bo$19b3o4b2o3b2o4b3o$19bo2b3obo5bob3o2bo$18b2o3b4o5b4o3b2o$19bo
bo3bo7bo3bobo$19b2ob2obo7bob2ob2o$19bo3bo2bo5bo2bo3bo!

I'm so close! Hopefully I can find one very quickly now that I have a new 12-core pc instead of a slow laptop.

[C_R_116]

I've been searching for a while for a new tagalong. Here's an interesting partial that looks like a Wickstretcher.

Code: Select all

x = 45, y = 56, rule = B3/S23
bo12bo15bo12bo$3o10b3o13b3o10b3o$3o10b3o13b3o10b3o3$3bo3b2o3bo19bo3b2o
3bo$bob4o2b4obo15bob4o2b4obo$bob4o2b4obo15bob4o2b4obo2$5b6o4b3o9b3o4b
6o$4b2o4b2o21b2o4b2o$4b2o4b2o21b2o4b2o$15b3o9b3o$16bo11bo$17bo9bo2$19b
o5bo$16b2ob3ob3ob2o$17b2o3bo3b2o$19b2obob2o$20b2ob2o$19b2o3b2o$20bo3b
o3$21b3o$20bo3bo$20bo3bo$21b3o2$21b3o$21b3o$19bo5bo$15b2o3b5o3b2o$13b
2obo11bob2o$14bo3b3o3b3o3bo$15b3o2b2ob2o2b3o$15bo2bo7bo2bo$15bo2b4ob4o
2bo$14bo4b3ob3o4bo$14bobob2obobob2obobo$18bo7bo$14bo4b3ob3o4bo$14bo3b
ob2ob2obo3bo$15b2o4bobo4b2o2$19b2o3b2o$20b2ob2o$19bobobobo$17bobobobo
bobo$16bo2bobobobo2bo$16b2obobobobob2o$19bobobobo$16b2obobobobob2o$16b
2obobobobob2o$20bo3bo!

Another partial "Wickstretcher:"

Code: Select all

x = 59, y = 71, rule = B3/S23
2bo12bo27bo12bo$bobo10bobo25bobo10bobo$o3bo8bo3bo23bo3bo8bo3bo$bo2bo8b
o2bo25bo2bo8bo2bo$bobo4b2o4bobo25bobo4b2o4bobo$2b3o3b2o3b3o27b3o3b2o3b
3o$5bo6bo33bo6bo$4bo2b4o2bo4b3o17b3o4bo2b4o2bo$8b2o9bo19bo9b2o$5b3o2b
3o33b3o2b3o$18bobo17bobo$18bobo17bobo$19bo19bo$21b3o11b3o$21b2ob2o7b2o
b2o$20bob4o7b4obo$20b2o3b2o5b2o3b2o$21bo15bo$20bobobo9bobobo$20b2ob2o
9b2ob2o$21b4o9b4o$21bo15bo$22b2o11b2o$23bo11bo$22bobo9bobo$22b3o9b3o$
22b2o11b2o$24bo9bo2$22bob2o7b2obo$23b2o9b2o$22bo13bo$24bo9bo$23bo11bo$
24bo9bo$22b2o11b2o$22b2o2bo5bo2b2o2$23bobo7bobo$24bo9bo$22bo2b2o5b2o2b
o$21b4ob2o3b2ob4o$20bo4b2o5b2o4bo$27bo3bo$18b2obo15bob2o$21bo15bo$18b
2o5bob2ob2obo5b2o$21bo3b2obobob2o3bo$21b2o3bobobobo3b2o$24b2obo3bob2o$
21bo15bo$23bo11bo$22bo4b2ob2o4bo$28bobo$26bo5bo$26bo5bo$26bobobobo$26b
o5bo$25b3o3b3o$27bo3bo$28bobo$25b2obobob2o$24bo3bobo3bo$23bo3bo3bo3bo$
26bo5bo$23b3o3bo3b3o$27b2ob2o$27b2ob2o2$27b2ob2o$27b2ob2o!

[Sokwe]

The absolute ideal is probably a fuse ignition by a passing p4 catalyst-type ship...

Is it too much to hope for a lucky still life output from the fuse-burning-ending reaction? E.g. if it could leave a loaf by the back end of the now-unlit-fuse like so...

Code: Select all

x = 109, y = 177, rule = B3/S23
8b2o$7b2o$9bo$11b2o$10bo2$9bo2bo$b2o5b2o$2o5bo$2bo4bobo$4b2o2bo$4b2o$
8bo$7bobo$8bobo$9bobo$10bobo$11bobo$12bobo$13bobo$14bobo$15bobo$16bobo
$17bobo$18bobo$19bobo$20bobo$21bobo$22bobo$23bobo$24bobo$25bobo$26bobo
$27bobo$28bobo$29bobo$30bobo$31bobo$32bobo$33bobo$34bobo$35bobo$36bobo
$37bobo$38bobo$39bobo$40bobo$41bobo$42bobo$43bobo$44bobo$45bobo$46bobo
$47bobo$48bobo$49bobo$50bobo$51bobo$52bobo$53bobo$54bobo$55bobo$56bobo
$57bobo$58bobo$59bobo$60bobo$61bobo$62bobo$63bobo$64bobo$65bobo$66bobo
$67bobo$68bobo$69bobo$70bobo$71bobo$72bobo$73bobo$74bobo$75bobo$76bobo
$77bobo$78bobo$79bobo$80bobo$81bobo$82bobo$83bobo$84bobo$85bobo$86bobo
$87bobo$88bobo$89bobo$90bobo$91bobo$92b2o2$89bo$88bobo$87bo2bo$88b2o7$
87b3o$87bo$57bo30bo$56b2o32bo3bo$56bobo30b3obo2bo$63b3o25bobo2bo$59b2o
2bo13bo2bo7bo4bo$59b2o3bo11b2o2b2o7b2o2bob2o$66b3o3b2obo4bo2bo4bo3b2o
3bo$55bob2o8b5obobobo2b2ob4obo3b2o5bo$54b4o11bo4bo2b3obob4obo3b2o4bobo
$54bo3b2o10b2o2b3ob2obob3o2bo3b2o2bobobo$59bo2bo5bo5b2o16b5o$67bo4b4o
4b3o3b2o2b3o3bo$58b2o3bo2b2o5bo22b3o$58b2o3bo3b2o$59bo4b2o27b6o$59bo
28b2obob3o4bo$60b2o25b2o3b5o3bo$88bob2o8bo$83b3o2b3o8bob2obo$83bo16bo
3bo$84bo3b2o5b2ob3o$86b2o4b2ob2o$87b7o8bo$63b2o21b3o4bobob2o2bo2bo$63b
obo16b2ob2o2bobobob2o3bo3bo$63bobo16bo4b2o14bobo$64b3o15bob3o5bob2obo$
64bobo19bo3b2o3bo2b2o4b3o$64b3o12b2o5bo10bo5bo$64b2o12b2o5b2o10bo3bo4b
o$65bo14bo3b4o10b4o$65b2o15bo15b2o4bo$64bo17b2o3bo14bo$65bobo9b2o6bob
2o11bo$66bo10bobo2b2o16bo3b3o$68bo8bo3bo25bo$66b3o11b2ob3o14b2obo$66bo
14bobobobo12b2o2b2obo$68b3o10b4o2bo13bo$70bo9b3o2bo18b3o$70b3o7bobo14b
ob2o4bo$72bo7bo15b5ob2o2bo$72b3o2b2o17bo6bobo$74b2o2bo21bo2bo$74b2o2bo
21bobo$100bo$101bo3bo$100bobo2bo$100bo2b3o$105bo2$105b2o$105b2o$104b2o
$101bo$100b5o2b2o$100bo2b2o$102b3o3$101b3o$101b3o2$100b2o$100bo!

I wonder if we might have better luck trying to control the fuse-burning-ending reaction with sparkers to try to get something out there rather than looking for a new custom catalyst ship at the back. I will of course complete the searches for the latter that I have suggested above, but I was thinking this might be easier.

That seems like a good idea. In that case I think the first thing to do is to find all of the spark-assisted fuse-burning-ending reactions we can and then try to manipulate whatever debris we get in a way that it reignites the fuse.

I found this 2c/7 partial with a width-11 zfind search... Hopefully I can find one very quickly now that I have a new 12-core pc instead of a slow laptop.

Keep in mind that zfind does not use multithreading, so it can't take advantage of those 12 cores. LLSSS and qfind are probably the best for this kind of search.

[C_R_116]

I found this 2c/7 partial with a width-11 zfind search... Hopefully I can find one very quickly now that I have a new 12-core pc instead of a slow laptop.

Keep in mind that zfind does not use multithreading, so it can't take advantage of those 12 cores. LLSSS and qfind are probably the best for this kind of search.

Thanks for the advice. I used qfind to extend my partial, and I ended up with this:

Code: Select all

x = 59, y = 115, rule = B3/S23
2bo12bo27bo12bo$bobo10bobo25bobo10bobo$o3bo8bo3bo23bo3bo8bo3bo$bo2bo8b
o2bo25bo2bo8bo2bo$bobo4b2o4bobo25bobo4b2o4bobo$2b3o3b2o3b3o27b3o3b2o3b
3o$5bo6bo33bo6bo$4bo2b4o2bo4b3o17b3o4bo2b4o2bo$8b2o9bo19bo9b2o$5b3o2b
3o33b3o2b3o$18bobo17bobo$18bobo17bobo$19bo19bo$21b3o11b3o$21b2ob2o7b2o
b2o$20bob4o7b4obo$20b2o3b2o5b2o3b2o$21bo15bo$20bobobo9bobobo$20b2ob2o
9b2ob2o$21b4o9b4o$21bo15bo$22b2o11b2o$23bo11bo$22bobo9bobo$22b3o9b3o$
22b2o11b2o$24bo9bo2$22bob2o7b2obo$23b2o9b2o$22bo13bo$24bo9bo$23bo11bo$
24bo9bo$22b2o11b2o$22b2o2bo5bo2b2o2$23bobo7bobo$24bo9bo$22bo2b2o5b2o2b
o$21b4ob2o3b2ob4o$20bo4b2o5b2o4bo$27bo3bo$18b2obo15bob2o$21bo15bo$18b
2o5bob2ob2obo5b2o$21bo3b2obobob2o3bo$21b2o3bobobobo3b2o$24b2obo3bob2o$
21bo15bo$23bo11bo$22bo4b2ob2o4bo$28bobo$26bo5bo$26bo5bo$26bobobobo$26b
o5bo$25b3o3b3o$27bo3bo$28bobo$25b2obobob2o$24bo3bobo3bo$23bo3bo3bo3bo$
26bo5bo$23b3o3bo3b3o$27b2ob2o$27b2ob2o2$27b2ob2o$28bobo2$26b7o$25b2o5b
2o$24bo2bo3bo2bo$22b2o2bo5bo2b2o$25b3o3b3o$21bo4bo5bo4bo2$24bob2o3b2ob
o$23bo11bo$26b2o3b2o$25b2o5b2o$24b3o5b3o$26bo5bo$23bo11bo$21b2o3bo5bo
3b2o$21b2o2bo7bo2b2o2$21b3o2bo5bo2b3o$21b2o3bo5bo3b2o$24bo9bo$25bo7bo$
26b2o3b2o$24b5ob5o$23b4obobob4o$21b2obobo5bobob2o$21b2o4bo3bo4b2o$21b
2o5bobo5b2o$28bobo$22bobo3b3o3bobo$22bo2bo7bo2bo$22bobo9bobo$24bo9bo$
22bobo9bobo$22bobo9bobo$21bo5bo3bo5bo$20bo2bo2bobobobo2bo2bo$20bo3bo9b
o3bo$21b2ob2ob2ob2ob2ob2o$25bo7bo$24b2o7b2o$22bobo9bobo2$21b3o11b3o!

Extendable:

Code: Select all

x = 66, y = 223, rule = B3/S23
3o10b3o25b3o10b3o$obo10bobo25bobo10bobo$3o10b3o25b3o10b3o$b2o4b2o4b2o
27b2o4b2o4b2o$6bo2bo37bo2bo$2bobo6bobo4bo19bo4bobo6bobo$3b10o5bo19bo5b
10o$5bo4bo6bobo17bobo6bo4bo$5bo4bo35bo4bo$5bo4bo6bobo17bobo6bo4bo$17b
3o17b3o2$21b2o11b2o$20b2obo9bob2o$23b2o7b2o$19b2o3bo7bo3b2o$20bo3bo7bo
3bo$19bo17bo$19b2ob2o9b2ob2o$21b2o11b2o2$20b3o11b3o$22bo11bo2$21b3o9b
3o$22bobo7bobo2$21bo2bo7bo2bo$23bo9bo$21b3o9b3o2$22bobo7bobo$22bo11bo$
21b2o11b2o$21b2o3bo3bo3b2o$25bo5bo$21bo2bo7bo2bo$18bo19bo$22b3o7b3o2$
18bo2b2obobo3bobob2o2bo$19bob2o2bobobobo2b2obo$20b3o2bo5bo2b3o$18bob2o
13b2obo$17b2o3bo4bobo4bo3b2o$17b2o2b4o2bobo2b4o2b2o$21b2obo2bobo2bob2o
$21bo3bobobobo3bo$21bob2o2bobo2b2obo$20b3o11b3o$22bo3bo3bo3bo$20b2o4bo
3bo4b2o$27bobo$26b2ob2o$25b3ob3o$25bobobobo$23bobo5bobo$25bo5bo$26bo3b
o$27bobo$25bobobobo$24b2obobob2o$22b2ob2o3b2ob2o$22b3o7b3o$23bo9bo$27b
3o$26b2ob2o2$26b2ob2o$27bobo$27bobo2$24b3obob3o$23bo9bo$22bo2bo5bo2bo$
21b2ob2o5b2ob2o$21b2o2bo5bo2b2o$21b3o9b3o$22b2obo5bob2o$21bo3b2o3b2o3b
o$25b2o3b2o2$23b2o7b2o$24b2o5b2o$23b2o7b2o$21bob2o7b2obo$20b2o2bo7bo2b
2o$23bo9bo$19bob4o7b4obo$20bo3b2o5b2o3bo$23bo9bo$24b2o5b2o2$26b2ob2o$
22b4obobob4o$21bo3bobobobo3bo$20b2o13b2o$20bo6bobo6bo$27b3o$22b2o4bo4b
2o$21b3o9b3o$21bobo9bobo2$22b2o4bo4b2o$21b3o9b3o$20bo15bo$20b2o3b3ob3o
3b2o$20b2obo2b2ob2o2bob2o$20b2ob2ob2ob2ob2ob2o13b3o10b3o$24bo7bo$24bo
7bo17bobo10bobo$21bobo9bobo15bo12bo$21b2o11b2o$20b2o13b2o15b2ob6ob2o$
26b2o19b2o$27b2o17b2o5bo2bo2bo2bo$26b3o17b3o$54b8o$26bobo17bobo8b2o$
26bo21bo5b2o4b2o$31bo11bo$30bobo9bobo$29b2obo9bob2o$29bobo11bobo$29bob
o11bobo$28b2obo11bob2o$29b3o11b3o3$29b3o11b3o$30bo13bo$29b2o13b2o2$32b
2o7b2o$29b2ob2o7b2ob2o2$31bo11bo$31bo11bo$31b2o9b2o2$32b2o7b2o$31bobo
7bobo$30bo3bo5bo3bo$30bo3bo5bo3bo$29b2ob2o7b2ob2o$28bo3bo9bo3bo$28bo2b
2o9b2o2bo$28bo4bo7bo4bo$28bo6bo3bo6bo$29bobobo2bobo2bobobo$31bobobo3bo
bobo$27bobobo3bo3bo3bobobo$26bo7bo5bo7bo$26bo4bo2bo5bo2bo4bo$27bo5bobo
3bobo5bo$29bob2obobobobob2obo$31b2o3bobo3b2o$30bo5bobo5bo$30bo4b2ob2o
4bo$29bo5b2ob2o5bo$30bo3bo5bo3bo$36bobo$34bo5bo$33bo2bobo2bo$32b2ob2ob
2ob2o$32b2o7b2o$32b2obo3bob2o$33b2obobob2o$34bobobobo$33bo2bobo2bo$32b
obobobobobo$32bo9bo$32bo9bo$34bo5bo$36b3o$36b3o2$34bobobobo$34bobobobo
$35b2ob2o2$33bobobobobo$32b2obobobob2o$33bo7bo$30b2obo7bob2o$30b2obob
2ob2obob2o$31bo3b2ob2o3bo$31bo3bo3bo3bo$32bobo5bobo$32bo9bo$33bo7bo$
32bobo5bobo2$32bo9bo$30b3o9b3o$28b2o15b2o$28b2o3bo7bo3b2o$29bo3bo7bo3b
o$32b2o7b2o$31bobo7bobo2$35bo3bo$31b2o2b2ob2o2b2o$32bo9bo$29bo2bob3ob
3obo2bo$29bobo2bo5bo2bobo$28bob2o3bo3bo3b2obo$30b2o2bo5bo2b2o$29b3o3b
5o3b3o$34bo5bo$33b2o5b2o$33bo2b3o2bo$30b2o2bo5bo2b2o$30b2ob2o5b2ob2o$
30b3obo5bob3o$30bob2obo3bob2obo$34b3ob3o$28b3o2bo2bobo2bo2b3o$33bo2bob
o2bo$30b2o11b2o$30b2o3bo3bo3b2o$30bo3bo5bo3bo$29b2o13b2o!

New wave:

Code: Select all

x = 199, y = 115, rule = B3/S23
b3o10b3o165b3o10b3o$o3bo8bo3bo163bo3bo8bo3bo$43bo27bo27bo27bo27bo$4bo
8bo28bobo25bobo25bobo25bobo25bobo28bo8bo$o7b2o7bo23bo3bo23bo3bo23bo3bo
23bo3bo23bo3bo23bo7b2o7bo$2b3o2bo2bo2b3o26bobo25bobo25bobo25bobo25bobo
26b3o2bo2bo2b3o$3b2ob2o2b2ob2o3b3o17b3o2bo2b3o17b3o2bo2b3o17b3o2bo2b3o
17b3o2bo2b3o17b3o2bo2b3o17b3o3b2ob2o2b2ob2o3$5b8o5b3o17b3o5b3o17b3o5b
3o17b3o5b3o17b3o5b3o17b3o5b3o17b3o5b8o$6bob2obo7bo19bo7bo19bo7bo19bo7b
o19bo7bo19bo7bo19bo7bob2obo$20bo17bo9bo17bo9bo17bo9bo17bo9bo17bo9bo17b
o$22b2o11b2o13b2o11b2o13b2o11b2o13b2o11b2o13b2o11b2o13b2o11b2o$23b2o9b
2o15b2o9b2o15b2o9b2o15b2o9b2o15b2o9b2o15b2o9b2o$19b2o3bo9bo3b2o7b2o3bo
9bo3b2o7b2o3bo9bo3b2o7b2o3bo9bo3b2o7b2o3bo9bo3b2o7b2o3bo9bo3b2o$19b3o
2b3o5b3o2b3o7b3o2b3o5b3o2b3o7b3o2b3o5b3o2b3o7b3o2b3o5b3o2b3o7b3o2b3o5b
3o2b3o7b3o2b3o5b3o2b3o$21bo2b3o5b3o2bo11bo2b3o5b3o2bo11bo2b3o5b3o2bo
11bo2b3o5b3o2bo11bo2b3o5b3o2bo11bo2b3o5b3o2bo$22bo2b2o5b2o2bo13bo2b2o
5b2o2bo13bo2b2o5b2o2bo13bo2b2o5b2o2bo13bo2b2o5b2o2bo13bo2b2o5b2o2bo$
23b3o7b3o15b3o7b3o15b3o7b3o15b3o7b3o15b3o7b3o15b3o7b3o$21bob3o7b3obo
11bob3o7b3obo11bob3o7b3obo11bob3o7b3obo11bob3o7b3obo11bob3o7b3obo$24b
2o7b2o17b2o7b2o17b2o7b2o17b2o7b2o17b2o7b2o17b2o7b2o$22bobo9bobo13bobo
9bobo13bobo9bobo13bobo9bobo13bobo9bobo13bobo9bobo$22b3o9b3o13b3o9b3o
13b3o9b3o13b3o9b3o13b3o9b3o13b3o9b3o$22bobo9bobo13bobo9bobo13bobo9bobo
13bobo9bobo13bobo9bobo13bobo9bobo$24b2o7b2o17b2o7b2o17b2o7b2o17b2o7b2o
17b2o7b2o17b2o7b2o$21b2o13b2o11b2o13b2o11b2o13b2o11b2o13b2o11b2o13b2o
11b2o13b2o$22b2o11b2o13b2o11b2o13b2o11b2o13b2o11b2o13b2o11b2o13b2o11b
2o$22b2o11b2o13b2o11b2o13b2o11b2o13b2o11b2o13b2o11b2o13b2o11b2o$23bobo
7bobo15bobo7bobo15bobo7bobo15bobo7bobo15bobo7bobo15bobo7bobo$26bo5bo
21bo5bo21bo5bo21bo5bo21bo5bo21bo5bo2$24b2o7b2o17b2o7b2o17b2o7b2o17b2o
7b2o17b2o7b2o17b2o7b2o$23bo11bo15bo11bo15bo11bo15bo11bo15bo11bo15bo11b
o$22bobo9bobo13bobo9bobo13bobo9bobo13bobo9bobo13bobo9bobo13bobo9bobo$
22bob2o7b2obo13bob2o7b2obo13bob2o7b2obo13bob2o7b2obo13bob2o7b2obo13bob
2o7b2obo$21b2obo9bob2o11b2obo9bob2o11b2obo9bob2o11b2obo9bob2o11b2obo9b
ob2o11b2obo9bob2o$21bo15bo11bo15bo11bo15bo11bo15bo11bo15bo11bo15bo$22b
obo9bobo13bobo9bobo13bobo9bobo13bobo9bobo13bobo9bobo13bobo9bobo$22bo
13bo13bo13bo13bo13bo13bo13bo13bo13bo13bo13bo$22b3ob2o3b2ob3o13b3ob2o3b
2ob3o13b3ob2o3b2ob3o13b3ob2o3b2ob3o13b3ob2o3b2ob3o13b3ob2o3b2ob3o$21bo
4b2o3b2o4bo11bo4b2o3b2o4bo11bo4b2o3b2o4bo11bo4b2o3b2o4bo11bo4b2o3b2o4b
o11bo4b2o3b2o4bo$20bo6bo3bo6bo9bo6bo3bo6bo9bo6bo3bo6bo9bo6bo3bo6bo9bo
6bo3bo6bo9bo6bo3bo6bo$25b2o5b2o19b2o5b2o19b2o5b2o19b2o5b2o19b2o5b2o19b
2o5b2o$19b2ob4o7b4ob2o7b2ob4o7b4ob2o7b2ob4o7b4ob2o7b2ob4o7b4ob2o7b2ob
4o7b4ob2o7b2ob4o7b4ob2o$19b2o17b2o7b2o17b2o7b2o17b2o7b2o17b2o7b2o17b2o
7b2o17b2o2$20bo5b3ob3o5bo9bo5b3ob3o5bo9bo5b3ob3o5bo9bo5b3ob3o5bo9bo5b
3ob3o5bo9bo5b3ob3o5bo$20bob5obobob5obo9bob5obobob5obo9bob5obobob5obo9b
ob5obobob5obo9bob5obobob5obo9bob5obobob5obo$24bo3bobo3bo17bo3bobo3bo
17bo3bobo3bo17bo3bobo3bo17bo3bobo3bo17bo3bobo3bo$21b2ob4o3b4ob2o11b2ob
4o3b4ob2o11b2ob4o3b4ob2o11b2ob4o3b4ob2o11b2ob4o3b4ob2o11b2ob4o3b4ob2o$
21b3ob2o5b2ob3o11b3ob2o5b2ob3o11b3ob2o5b2ob3o11b3ob2o5b2ob3o11b3ob2o5b
2ob3o11b3ob2o5b2ob3o2$27b2ob2o23b2ob2o23b2ob2o23b2ob2o23b2ob2o23b2ob2o
$28bobo25bobo25bobo25bobo25bobo25bobo$26b2o3b2o21b2o3b2o21b2o3b2o21b2o
3b2o21b2o3b2o21b2o3b2o$25bobo3bobo19bobo3bobo19bobo3bobo19bobo3bobo19b
obo3bobo19bobo3bobo$25b2o5b2o19b2o5b2o19b2o5b2o19b2o5b2o19b2o5b2o19b2o
5b2o$25bo7bo19bo7bo19bo7bo19bo7bo19bo7bo19bo7bo$26b3ob3o21b3ob3o21b3ob
3o21b3ob3o21b3ob3o21b3ob3o$28bobo25bobo25bobo25bobo25bobo25bobo$26bobo
bobo21bobobobo21bobobobo21bobobobo21bobobobo21bobobobo$24bo3bobo3bo17b
o3bobo3bo17bo3bobo3bo17bo3bobo3bo17bo3bobo3bo17bo3bobo3bo$24b3obobob3o
17b3obobob3o17b3obobob3o17b3obobob3o17b3obobob3o17b3obobob3o$27bo3bo
23bo3bo23bo3bo23bo3bo23bo3bo23bo3bo$29bo27bo27bo27bo27bo27bo$23bo4b3o
4bo15bo4b3o4bo15bo4b3o4bo15bo4b3o4bo15bo4b3o4bo15bo4b3o4bo$24bo9bo17bo
9bo17bo9bo17bo9bo17bo9bo17bo9bo$26b3ob3o21b3ob3o21b3ob3o21b3ob3o21b3ob
3o21b3ob3o2$27b2ob2o23b2ob2o23b2ob2o23b2ob2o23b2ob2o23b2ob2o$27b2ob2o
23b2ob2o23b2ob2o23b2ob2o23b2ob2o23b2ob2o2$25b9o19b9o19b9o19b9o19b9o19b
9o$25bo3bo3bo19bo3bo3bo19bo3bo3bo19bo3bo3bo19bo3bo3bo19bo3bo3bo$23bobo
7bobo15bobo7bobo15bobo7bobo15bobo7bobo15bobo7bobo15bobo7bobo$22bo2b2o
5b2o2bo13bo2b2o5b2o2bo13bo2b2o5b2o2bo13bo2b2o5b2o2bo13bo2b2o5b2o2bo13b
o2b2o5b2o2bo$23bobobo3bobobo15bobobo3bobobo15bobobo3bobobo15bobobo3bob
obo15bobobo3bobobo15bobobo3bobobo$24bo3bobo3bo17bo3bobo3bo17bo3bobo3bo
17bo3bobo3bo17bo3bobo3bo17bo3bobo3bo$25bobo3bobo19bobo3bobo19bobo3bobo
19bobo3bobo19bobo3bobo19bobo3bobo$25bo7bo19bo7bo19bo7bo19bo7bo19bo7bo
19bo7bo$25bo7bo19bo7bo19bo7bo19bo7bo19bo7bo19bo7bo$24b3o5b3o17b3o5b3o
17b3o5b3o17b3o5b3o17b3o5b3o17b3o5b3o$24bo2bo3bo2bo17bo2bo3bo2bo17bo2bo
3bo2bo17bo2bo3bo2bo17bo2bo3bo2bo17bo2bo3bo2bo$23b2o9b2o15b2o9b2o15b2o
9b2o15b2o9b2o15b2o9b2o15b2o9b2o$23bobo7bobo15bobo7bobo15bobo7bobo15bob
o7bobo15bobo7bobo15bobo7bobo$22b2o11b2o13b2o11b2o13b2o11b2o13b2o11b2o
13b2o11b2o13b2o11b2o$21bobo11bobo11bobo11bobo11bobo11bobo11bobo11bobo
11bobo11bobo11bobo11bobo$21bobo11bobo11bobo11bobo11bobo11bobo11bobo11b
obo11bobo11bobo11bobo11bobo$21bobo11bobo11bobo11bobo11bobo11bobo11bobo
11bobo11bobo11bobo11bobo11bobo$24bo9bo17bo9bo17bo9bo17bo9bo17bo9bo17bo
9bo$22bobo9bobo13bobo9bobo13bobo9bobo13bobo9bobo13bobo9bobo13bobo9bobo
$24b2o7b2o17b2o7b2o17b2o7b2o17b2o7b2o17b2o7b2o17b2o7b2o$24b3o5b3o17b3o
5b3o17b3o5b3o17b3o5b3o17b3o5b3o17b3o5b3o$24b2obo3bob2o17b2obo3bob2o17b
2obo3bob2o17b2obo3bob2o17b2obo3bob2o17b2obo3bob2o$23bo3b2ob2o3bo15bo3b
2ob2o3bo15bo3b2ob2o3bo15bo3b2ob2o3bo15bo3b2ob2o3bo15bo3b2ob2o3bo$22b2o
3bo3bo3b2o13b2o3bo3bo3b2o13b2o3bo3bo3b2o13b2o3bo3bo3b2o13b2o3bo3bo3b2o
13b2o3bo3bo3b2o$21bo5bo3bo5bo11bo5bo3bo5bo11bo5bo3bo5bo11bo5bo3bo5bo
11bo5bo3bo5bo11bo5bo3bo5bo$20bobo3b3ob3o3bobo9bobo3b3ob3o3bobo9bobo3b
3ob3o3bobo9bobo3b3ob3o3bobo9bobo3b3ob3o3bobo9bobo3b3ob3o3bobo$20bo2bo
2bo5bo2bo2bo9bo2bo2bo5bo2bo2bo9bo2bo2bo5bo2bo2bo9bo2bo2bo5bo2bo2bo9bo
2bo2bo5bo2bo2bo9bo2bo2bo5bo2bo2bo$21bobo11bobo11bobo11bobo11bobo11bobo
11bobo11bobo11bobo11bobo11bobo11bobo$27b2ob2o23b2ob2o23b2ob2o23b2ob2o
23b2ob2o23b2ob2o$22bo2bo3bo3bo2bo13bo2bo3bo3bo2bo13bo2bo3bo3bo2bo13bo
2bo3bo3bo2bo13bo2bo3bo3bo2bo13bo2bo3bo3bo2bo$26bo5bo21bo5bo21bo5bo21bo
5bo21bo5bo21bo5bo$23bo2bo5bo2bo15bo2bo5bo2bo15bo2bo5bo2bo15bo2bo5bo2bo
15bo2bo5bo2bo15bo2bo5bo2bo$23b3o7b3o15b3o7b3o15b3o7b3o15b3o7b3o15b3o7b
3o15b3o7b3o$21bo2bo9bo2bo11bo2bo9bo2bo11bo2bo9bo2bo11bo2bo9bo2bo11bo2b
o9bo2bo11bo2bo9bo2bo$23bo11bo15bo11bo15bo11bo15bo11bo15bo11bo15bo11bo$
20bo5b3ob3o5bo9bo5b3ob3o5bo9bo5b3ob3o5bo9bo5b3ob3o5bo9bo5b3ob3o5bo9bo
5b3ob3o5bo$20bobobobo5bobobobo9bobobobo5bobobobo9bobobobo5bobobobo9bob
obobo5bobobobo9bobobobo5bobobobo9bobobobo5bobobobo$21bo4b2o3b2o4bo11bo
4b2o3b2o4bo11bo4b2o3b2o4bo11bo4b2o3b2o4bo11bo4b2o3b2o4bo11bo4b2o3b2o4b
o$26bo5bo21bo5bo21bo5bo21bo5bo21bo5bo21bo5bo$22bo2bo7bo2bo13bo2bo7bo2b
o13bo2bo7bo2bo13bo2bo7bo2bo13bo2bo7bo2bo13bo2bo7bo2bo$22b2obo7bob2o13b
2obo7bob2o13b2obo7bob2o13b2obo7bob2o13b2obo7bob2o13b2obo7bob2o$22b3o9b
3o13b3o9b3o13b3o9b3o13b3o9b3o13b3o9b3o13b3o9b3o$21b2o13b2o11b2o13b2o
11b2o13b2o11b2o13b2o11b2o13b2o11b2o13b2o!

Connectable to other waves

Code: Select all

x = 100, y = 124, rule = B3/S23
36bo17bo$35bobo15bobo$34bo3bo13bo3bo$35bobo15bobo$35b3o15b3o2$34b2ob3o
11b3ob2o$36b2o2bo9bo2b2o$36b2o3bo7bo3b2o$b3o10b3o20b2ob3o5b3ob2o$o3bo
8bo3bo21b2ob2o3b2ob2o$44bobo28bo15bo$4bo8bo26bo3bobo3bo23bobo13bobo$o
7b2o7bo23bobo3bobo23bo3bo2b3ob3o2bo3bo$2b3o2bo2bo2b3o26bo5bo25bobo2bo
2bobo2bo2bobo3b2o$3b2ob2o2b2ob2o3b3o17b3o9b3o17b3o2bo2bo9bo2bo2b2o2bo$
78bobo5bobo4bo3bo$79bo7bo5bo2b2o$5b8o5b3o17b3o9b3o17b3o6b3o3b3o5bo2b2o
$6bob2obo7bo19bo11bo19bo7bo2bobo2bo5b2o2bo$20bo17bo13bo17bo6bobob2ob2o
bobo6bo$22b2o11b2o17b2o11b2o26b2obo$23b2o9b2o19b2o9b2o$19b2o3bo9bo3b2o
11b2o3bo9bo3b2o$19b3o2b3o5b3o2b3o11b3o2b3o5b3o2b3o22b3o$21bo2b3o5b3o2b
o15bo2b3o5b3o2bo$22bo2b2o5b2o2bo17bo2b2o5b2o2bo24b2o$23b3o7b3o19b3o7b
3o25b2o$21bob3o7b3obo15bob3o7b3obo24b2o$24b2o7b2o21b2o7b2o26bo2b2o$22b
obo9bobo17bobo9bobo25bobobo$22b3o9b3o17b3o9b3o24b3o2bo$22bobo9bobo17bo
bo9bobo24b2o2b3o$24b2o7b2o21b2o7b2o26b2o2b2o$21b2o13b2o15b2o13b2o22bo$
22b2o11b2o17b2o11b2o22bo$22b2o11b2o17b2o11b2o22bo2bo$23bobo7bobo19bobo
7bobo23bo2bo$26bo5bo25bo5bo27b3o$93bobo$24b2o7b2o21b2o7b2o26b2obo$23bo
11bo19bo11bo24bobo$22bobo9bobo17bobo9bobo21bobob2o$22bob2o7b2obo17bob
2o7b2obo21bob2o$21b2obo9bob2o15b2obo9bob2o20b2o$21bo15bo15bo15bo$22bob
o9bobo17bobo9bobo$22bo13bo17bo13bo$22b3ob2o3b2ob3o17b3ob2o3b2ob3o$21bo
4b2o3b2o4bo15bo4b2o3b2o4bo$20bo6bo3bo6bo13bo6bo3bo6bo$25b2o5b2o23b2o5b
2o$19b2ob4o7b4ob2o11b2ob4o7b4ob2o$19b2o17b2o11b2o17b2o2$20bo5b3ob3o5bo
13bo5b3ob3o5bo$20bob5obobob5obo13bob5obobob5obo$24bo3bobo3bo21bo3bobo
3bo$21b2ob4o3b4ob2o15b2ob4o3b4ob2o$21b3ob2o5b2ob3o15b3ob2o5b2ob3o2$27b
2ob2o27b2ob2o$28bobo29bobo$26b2o3b2o25b2o3b2o$25bobo3bobo23bobo3bobo$
25b2o5b2o23b2o5b2o$25bo7bo23bo7bo$26b3ob3o25b3ob3o$28bobo29bobo$26bobo
bobo25bobobobo$24bo3bobo3bo21bo3bobo3bo$24b3obobob3o21b3obobob3o$27bo
3bo27bo3bo$29bo31bo$23bo4b3o4bo19bo4b3o4bo$24bo9bo21bo9bo$26b3ob3o25b
3ob3o2$27b2ob2o27b2ob2o$27b2ob2o27b2ob2o2$25b9o23b9o$25bo3bo3bo23bo3bo
3bo$23bobo7bobo19bobo7bobo$22bo2b2o5b2o2bo17bo2b2o5b2o2bo$23bobobo3bob
obo19bobobo3bobobo$24bo3bobo3bo21bo3bobo3bo$25bobo3bobo23bobo3bobo$25b
o7bo23bo7bo$25bo7bo23bo7bo$24b3o5b3o21b3o5b3o$24bo2bo3bo2bo21bo2bo3bo
2bo$23b2o9b2o19b2o9b2o$23bobo7bobo19bobo7bobo$22b2o11b2o17b2o11b2o$21b
obo11bobo15bobo11bobo$21bobo11bobo15bobo11bobo$21bobo11bobo15bobo11bob
o$24bo9bo21bo9bo$22bobo9bobo17bobo9bobo$24b2o7b2o21b2o7b2o$24b3o5b3o
21b3o5b3o$24b2obo3bob2o21b2obo3bob2o$23bo3b2ob2o3bo19bo3b2ob2o3bo$22b
2o3bo3bo3b2o17b2o3bo3bo3b2o$21bo5bo3bo5bo15bo5bo3bo5bo$20bobo3b3ob3o3b
obo13bobo3b3ob3o3bobo$20bo2bo2bo5bo2bo2bo13bo2bo2bo5bo2bo2bo$21bobo11b
obo15bobo11bobo$27b2ob2o27b2ob2o$22bo2bo3bo3bo2bo17bo2bo3bo3bo2bo$26bo
5bo25bo5bo$23bo2bo5bo2bo19bo2bo5bo2bo$23b3o7b3o19b3o7b3o$21bo2bo9bo2bo
15bo2bo9bo2bo$23bo11bo19bo11bo$20bo5b3ob3o5bo13bo5b3ob3o5bo$20bobobobo
5bobobobo13bobobobo5bobobobo$21bo4b2o3b2o4bo15bo4b2o3b2o4bo$26bo5bo25b
o5bo$22bo2bo7bo2bo17bo2bo7bo2bo$22b2obo7bob2o17b2obo7bob2o$22b3o9b3o
17b3o9b3o$21b2o13b2o15b2o13b2o!

I guess you can say that this is the "cool spaceship" I've been working on.

[May13]

Now there is a support for Matthias Merzenich's 2c/7 component! (viewtopic.php?p=179221#p179221)

Code: Select all

x = 77, y = 124, rule = B3/S23
23bo17bo$22b3o15b3o$22b3o15b3o3$21b2ob2o13b2ob2o$21b2obo15bob2o$25b3o
9b3o$bo12bo13bo7bo25bo12bo$bo12bo10b2o11b2o22bo12bo$obo10bobo9b4ob2ob
2ob4o21bobo10bobo$bo12bo12bo3bobo3bo24bo12bo$bo12bo14bobobobo26bo12bo$
2bo3b4o3bo16b2ob2o28bo3b4o3bo$6b4o20b2ob2o32b4o$2b4o4b4o3b3o5b3o9b3o
17b3o3b4o4b4o2$4bo6bo5bobo5bobo9bobo17bobo5bo6bo$5b2o2b2o6bobo5bobo9bo
bo17bobo6b2o2b2o$18bo7bo11bo19bo$17bo2bo3bo2bo10bo19bo$18bob2ob2obo15b
o11bo$15bo4bo3bo4bo10b2obo9bob2o$15b6o3b6o10bo2bo9bo2bo$15bo4bo3bo4bo
9b2ob2o9b2ob2o$16b2obo5bob2o11bob2o9b2obo$20bo3bo14bo2b2o9b2o2bo$16bo
11bo10b2obo11bob2o$16bo3bo3bo3bo12bo13bo$17bo2bo3bo2bo13bo13bo$17bo2bo
3bo2bo12b3o11b3o$12b3o3bobo3bobo3b3o$11bo2bo3b9o3bo2bo6b2o13b2o$11bo2b
o2b2ob5ob2o2bo2bo$18b2o2bo2b2o15b3o7b3o$17b2o3bo3b2o14b3o7b3o$17b2o7b
2o13b3o9b3o$20b2ob2o$17bo3bobo3bo13b2o11b2o$17bo3bobo3bo14b2o9b2o$17b
2o2bobo2b2o14bobo7bobo$19b3ob3o17b2o7b2o$15b2ob2o5b2ob2o12bob2o5b2obo$
14bo2b2o7b2o2bo10b2ob2o5b2ob2o$13bo17bo9bo3bo5bo3bo$14bob3o7b3obo9b2ob
2o7b2ob2o$17bo2bo3bo2bo11bobo13bobo$18b3o3b3o11b3ob3o7b3ob3o$15b2o4bob
o4b2o8b3o2bo9bo2b3o$20bo3bo14b2o2bobo5bobo2b2o$16bo4bobo4bo12bo4b2ob2o
4bo$13bo6b2ob2o6bo7bo2bo3b2ob2o3bo2bo$12b2o2b3obo3bob3o2b2o8bobo2bo3bo
2bobo$11bo5b4o3b4o5bo3b2o2bo3b2o3b2o3bo2b2o$12bo3b2o2bo3bo2b2o3bo4b2o
5b3o3b3o5b2o$13b3o2bobo3bobo2b3o9b2obobo3bobob2o$41b2o2bobobobo2b2o$
18b3o3b3o16b2o2bobo2b2o$17b2o7b2o13bo5bobo5bo$16b2o9b2o11b2o13b2o$16bo
bo7bobo11b2o3bobobobo3b2o$17bo9bo19bobo$18bobo3bobo19bo3bo$18bobo3bobo
19bo3bo$17bo9bo15b2o2bobo2b2o$17bo9bo18b2ob2o$17bo3bobo3bo14bo3b2ob2o
3bo$18bo2bobo2bo19bo3bo$18bo2bobo2bo16bo3bobo3bo$45bobobobo$19b3ob3o
18b2obobob2o$19bobobobo17bo2bo3bo2bo$20b5o17b2o9b2o$14b3o11b3o13bo7bo$
14b3o11b3o17bo$12bo3bo11bo3bo13b2ob2o$16bo11bo18bobo$17bo9bo18b2ob2o$
12bo3bo3bobobo3bo3bo$13b2o4bo5bo4b2o13bobobobo$14bo15bo15b2ob2o$15b3o
9b3o15b2obob2o$16bo5bo5bo14b2o7b2o$21b3o19b2o7b2o$20b2ob2o17bobo7bobo$
20b5o16b2obo7bob2o$17b3o2bo2b3o18b2ob2o$15bo13bo12bo11bo$15bobo9bobo
12b2ob3ob3ob2o$17bo9bo14b3o7b3o$14bobo11bobo12bo9bo$13bo2bo11bo2bo11b
2o7b2o$14b2o13b2o13bo7bo$44bo7bo$43bo9bo$40b4o9b4o$39bo2b2o9b2o2bo$41b
o13bo$39b2o3b2o5b2o3b2o$44b2o5b2o$44bo7bo2$46b2ob2o$42b2o2b2ob2o2b2o$
43bobo5bobo$41b3ob2o3b2ob3o$39b2ob4obobob4ob2o$43bob2o3b2obo$43bobo2bo
2bobo$40bobo2b7o2bobo$41bo2b2ob3ob2o2bo$44b3obob3o$43b2obobobob2o$41b
2o2b2obob2o2b2o$40bo4b2o3b2o4bo$40bo5bo3bo5bo$41bobo3bobo3bobo$41b3o3b
obo3b3o$40bo3bo2bobo2bo3bo$42b2o9b2o$41b3o9b3o$40bo15bo2$40b2o13b2o!

Gutter-symmetric wave:

Code: Select all

x = 153, y = 124, rule = B3/S23
35bo17bo13bo17bo13bo17bo$34b3o15b3o11b3o15b3o11b3o15b3o$34b3o15b3o11b
3o15b3o11b3o15b3o3$33b2ob2o13b2ob2o9b2ob2o13b2ob2o9b2ob2o13b2ob2o$33b
2obo15bob2o9b2obo15bob2o9b2obo15bob2o$37b3o9b3o17b3o9b3o17b3o9b3o$bo
12bo25bo7bo23bo7bo23bo7bo25bo12bo$bo12bo22b2o11b2o17b2o11b2o17b2o11b2o
22bo12bo$obo10bobo21b4ob2ob2ob4o17b4ob2ob2ob4o17b4ob2ob2ob4o21bobo10bo
bo$bo12bo24bo3bobo3bo21bo3bobo3bo21bo3bobo3bo24bo12bo$bo12bo26bobobobo
25bobobobo25bobobobo26bo12bo$2bo3b4o3bo28b2ob2o27b2ob2o27b2ob2o28bo3b
4o3bo$6b4o32b2ob2o27b2ob2o27b2ob2o32b4o$2b4o4b4o3b3o17b3o9b3o17b3o9b3o
17b3o9b3o17b3o3b4o4b4o2$4bo6bo5bobo17bobo9bobo17bobo9bobo17bobo9bobo
17bobo5bo6bo$5b2o2b2o6bobo17bobo9bobo17bobo9bobo17bobo9bobo17bobo6b2o
2b2o$18bo19bo11bo19bo11bo19bo11bo19bo$18bo19bo11bo19bo11bo19bo11bo19bo
$22bo11bo19bo11bo19bo11bo19bo11bo$20b2obo9bob2o15b2obo9bob2o15b2obo9bo
b2o15b2obo9bob2o$20bo2bo9bo2bo15bo2bo9bo2bo15bo2bo9bo2bo15bo2bo9bo2bo$
19b2ob2o9b2ob2o13b2ob2o9b2ob2o13b2ob2o9b2ob2o13b2ob2o9b2ob2o$20bob2o9b
2obo15bob2o9b2obo15bob2o9b2obo15bob2o9b2obo$19bo2b2o9b2o2bo13bo2b2o9b
2o2bo13bo2b2o9b2o2bo13bo2b2o9b2o2bo$19b2obo11bob2o13b2obo11bob2o13b2ob
o11bob2o13b2obo11bob2o$21bo13bo17bo13bo17bo13bo17bo13bo$21bo13bo17bo
13bo17bo13bo17bo13bo$20b3o11b3o15b3o11b3o15b3o11b3o15b3o11b3o2$20b2o
13b2o15b2o13b2o15b2o13b2o15b2o13b2o2$22b3o7b3o19b3o7b3o19b3o7b3o19b3o
7b3o$22b3o7b3o19b3o7b3o19b3o7b3o19b3o7b3o$21b3o9b3o17b3o9b3o17b3o9b3o
17b3o9b3o2$21b2o11b2o17b2o11b2o17b2o11b2o17b2o11b2o$22b2o9b2o19b2o9b2o
19b2o9b2o19b2o9b2o$22bobo7bobo19bobo7bobo19bobo7bobo19bobo7bobo$23b2o
7b2o21b2o7b2o21b2o7b2o21b2o7b2o$22bob2o5b2obo19bob2o5b2obo19bob2o5b2ob
o19bob2o5b2obo$21b2ob2o5b2ob2o17b2ob2o5b2ob2o17b2ob2o5b2ob2o17b2ob2o5b
2ob2o$21bo3bo5bo3bo17bo3bo5bo3bo17bo3bo5bo3bo17bo3bo5bo3bo$20b2ob2o7b
2ob2o15b2ob2o7b2ob2o15b2ob2o7b2ob2o15b2ob2o7b2ob2o$19bobo13bobo13bobo
13bobo13bobo13bobo13bobo13bobo$18b3ob3o7b3ob3o11b3ob3o7b3ob3o11b3ob3o
7b3ob3o11b3ob3o7b3ob3o$18b3o2bo9bo2b3o11b3o2bo9bo2b3o11b3o2bo9bo2b3o
11b3o2bo9bo2b3o$19b2o2bobo5bobo2b2o13b2o2bobo5bobo2b2o13b2o2bobo5bobo
2b2o13b2o2bobo5bobo2b2o$21bo4b2ob2o4bo17bo4b2ob2o4bo17bo4b2ob2o4bo17bo
4b2ob2o4bo$19bo2bo3b2ob2o3bo2bo13bo2bo3b2ob2o3bo2bo13bo2bo3b2ob2o3bo2b
o13bo2bo3b2ob2o3bo2bo$21bobo2bo3bo2bobo17bobo2bo3bo2bobo17bobo2bo3bo2b
obo17bobo2bo3bo2bobo$17b2o2bo3b2o3b2o3bo2b2o9b2o2bo3b2o3b2o3bo2b2o9b2o
2bo3b2o3b2o3bo2b2o9b2o2bo3b2o3b2o3bo2b2o$17b2o5b3o3b3o5b2o9b2o5b3o3b3o
5b2o9b2o5b3o3b3o5b2o9b2o5b3o3b3o5b2o$21b2obobo3bobob2o17b2obobo3bobob
2o17b2obobo3bobob2o17b2obobo3bobob2o$21b2o2bobobobo2b2o17b2o2bobobobo
2b2o17b2o2bobobobo2b2o17b2o2bobobobo2b2o$23b2o2bobo2b2o21b2o2bobo2b2o
21b2o2bobo2b2o21b2o2bobo2b2o$21bo5bobo5bo17bo5bobo5bo17bo5bobo5bo17bo
5bobo5bo$20b2o13b2o15b2o13b2o15b2o13b2o15b2o13b2o$20b2o3bobobobo3b2o
15b2o3bobobobo3b2o15b2o3bobobobo3b2o15b2o3bobobobo3b2o$27bobo29bobo29b
obo29bobo$26bo3bo27bo3bo27bo3bo27bo3bo$26bo3bo27bo3bo27bo3bo27bo3bo$
23b2o2bobo2b2o21b2o2bobo2b2o21b2o2bobo2b2o21b2o2bobo2b2o$26b2ob2o27b2o
b2o27b2ob2o27b2ob2o$22bo3b2ob2o3bo19bo3b2ob2o3bo19bo3b2ob2o3bo19bo3b2o
b2o3bo$26bo3bo27bo3bo27bo3bo27bo3bo$23bo3bobo3bo21bo3bobo3bo21bo3bobo
3bo21bo3bobo3bo$25bobobobo25bobobobo25bobobobo25bobobobo$24b2obobob2o
23b2obobob2o23b2obobob2o23b2obobob2o$23bo2bo3bo2bo21bo2bo3bo2bo21bo2bo
3bo2bo21bo2bo3bo2bo$22b2o9b2o19b2o9b2o19b2o9b2o19b2o9b2o$24bo7bo23bo7b
o23bo7bo23bo7bo$28bo31bo31bo31bo$26b2ob2o27b2ob2o27b2ob2o27b2ob2o$27bo
bo29bobo29bobo29bobo$26b2ob2o27b2ob2o27b2ob2o27b2ob2o2$25bobobobo25bob
obobo25bobobobo25bobobobo$26b2ob2o27b2ob2o27b2ob2o27b2ob2o$25b2obob2o
25b2obob2o25b2obob2o25b2obob2o$23b2o7b2o21b2o7b2o21b2o7b2o21b2o7b2o$
23b2o7b2o21b2o7b2o21b2o7b2o21b2o7b2o$22bobo7bobo19bobo7bobo19bobo7bobo
19bobo7bobo$21b2obo7bob2o17b2obo7bob2o17b2obo7bob2o17b2obo7bob2o$26b2o
b2o27b2ob2o27b2ob2o27b2ob2o$22bo11bo19bo11bo19bo11bo19bo11bo$22b2ob3ob
3ob2o19b2ob3ob3ob2o19b2ob3ob3ob2o19b2ob3ob3ob2o$22b3o7b3o19b3o7b3o19b
3o7b3o19b3o7b3o$23bo9bo21bo9bo21bo9bo21bo9bo$23b2o7b2o21b2o7b2o21b2o7b
2o21b2o7b2o$24bo7bo23bo7bo23bo7bo23bo7bo$24bo7bo23bo7bo23bo7bo23bo7bo$
23bo9bo21bo9bo21bo9bo21bo9bo$20b4o9b4o15b4o9b4o15b4o9b4o15b4o9b4o$19bo
2b2o9b2o2bo13bo2b2o9b2o2bo13bo2b2o9b2o2bo13bo2b2o9b2o2bo$21bo13bo17bo
13bo17bo13bo17bo13bo$19b2o3b2o5b2o3b2o13b2o3b2o5b2o3b2o13b2o3b2o5b2o3b
2o13b2o3b2o5b2o3b2o$24b2o5b2o23b2o5b2o23b2o5b2o23b2o5b2o$24bo7bo23bo7b
o23bo7bo23bo7bo2$26b2ob2o27b2ob2o27b2ob2o27b2ob2o$22b2o2b2ob2o2b2o19b
2o2b2ob2o2b2o19b2o2b2ob2o2b2o19b2o2b2ob2o2b2o$23bobo5bobo21bobo5bobo
21bobo5bobo21bobo5bobo$21b3ob2o3b2ob3o17b3ob2o3b2ob3o17b3ob2o3b2ob3o
17b3ob2o3b2ob3o$19b2ob4obobob4ob2o13b2ob4obobob4ob2o13b2ob4obobob4ob2o
13b2ob4obobob4ob2o$23bob2o3b2obo21bob2o3b2obo21bob2o3b2obo21bob2o3b2ob
o$23bobo2bo2bobo21bobo2bo2bobo21bobo2bo2bobo21bobo2bo2bobo$20bobo2b7o
2bobo15bobo2b7o2bobo15bobo2b7o2bobo15bobo2b7o2bobo$21bo2b2ob3ob2o2bo
17bo2b2ob3ob2o2bo17bo2b2ob3ob2o2bo17bo2b2ob3ob2o2bo$24b3obob3o23b3obob
3o23b3obob3o23b3obob3o$23b2obobobob2o21b2obobobob2o21b2obobobob2o21b2o
bobobob2o$21b2o2b2obob2o2b2o17b2o2b2obob2o2b2o17b2o2b2obob2o2b2o17b2o
2b2obob2o2b2o$20bo4b2o3b2o4bo15bo4b2o3b2o4bo15bo4b2o3b2o4bo15bo4b2o3b
2o4bo$20bo5bo3bo5bo15bo5bo3bo5bo15bo5bo3bo5bo15bo5bo3bo5bo$21bobo3bobo
3bobo17bobo3bobo3bobo17bobo3bobo3bobo17bobo3bobo3bobo$21b3o3bobo3b3o
17b3o3bobo3b3o17b3o3bobo3b3o17b3o3bobo3b3o$20bo3bo2bobo2bo3bo15bo3bo2b
obo2bo3bo15bo3bo2bobo2bo3bo15bo3bo2bobo2bo3bo$22b2o9b2o19b2o9b2o19b2o
9b2o19b2o9b2o$21b3o9b3o17b3o9b3o17b3o9b3o17b3o9b3o$20bo15bo15bo15bo15b
o15bo15bo15bo2$20b2o13b2o15b2o13b2o15b2o13b2o15b2o13b2o!

[Sokwe]

I used qfind to extend my partial, and I ended up with this

Awesome! Since you have a 12-core pc, make sure you are using the -t option to set the appropriate number of threads.

What row did you start from? There's that loose connection so that I suspect a width-10 odd-symmetric search from the following row (highlighted white) might give alternate solutions (assuming you didn't start from there):

Code: Select all

x = 59, y = 71, rule = LifeHistory
2.A12.A27.A12.A$.A.A10.A.A25.A.A10.A.A$A3.A8.A3.A23.A3.A8.A3.A$.A2.A
8.A2.A25.A2.A8.A2.A$.A.A4.2A4.A.A25.A.A4.2A4.A.A$2.3A3.2A3.3A27.3A3.
2A3.3A$5.A6.A33.A6.A$4.A2.4A2.A4.3A17.3A4.A2.4A2.A$8.2A9.A19.A9.2A$5.
3A2.3A33.3A2.3A$18.A.A17.A.A$18.A.A17.A.A$19.A19.A$21.3A11.3A$21.2A.
2A7.2A.2A$20.A.4A7.4A.A$20.2A3.2A5.2A3.2A$21.A15.A$20.A.A.A9.A.A.A$
20.2A.2A9.2A.2A$21.4A9.4A$21.A15.A$22.2A11.2A$23.A11.A$22.A.A9.A.A$
22.3A9.3A$22.2A11.2A$24.A9.A2$22.A.2A7.2A.A$23.2A9.2A$22.A13.A$24.A9.
A$23.A11.A$24.A9.A$22.2A11.2A$22.2A2.A5.A2.2A2$23.A.A7.A.A$24.A9.A$
22.A2.2A5.2A2.A$21.4A.2A3.2A.4A$20.A4.2A5.2A4.A$27.A3.A$18.2A.A15.A.
2A$21.A15.A$18.2A5.A.2A.2A.A5.2A$21.C3.2C.C.C.2C3.C$21.2A3.A.A.A.A3.
2A$24.2A.A3.A.2A$21.A15.A$23.A11.A$22.A4.2A.2A4.A$28.A.A$26.A5.A$26.A
5.A$26.A.A.A.A$26.A5.A$25.3A3.3A$27.A3.A$28.A.A$25.2A.A.A.2A$24.A3.A.
A3.A$23.A3.A3.A3.A$26.A5.A$23.3A3.A3.3A$27.2A.2A$27.2A.2A2$27.2A.2A$
27.2A.2A!

I'd try the search myself, but my "4-core and 7 years ago" laptop for some reason won't compile qfind correctly.

By the way, the pulling weekenders can be moved around like so:

Code: Select all

x = 39, y = 117, rule = B3/S23
3bo12bo6bo12bo$2b3o10b3o4b3o10b3o$b5o8b5o2b5o8b5o$b5o8b5o2b5o8b5o$2bo
6b2o6bo4bo6b2o6bo$3b3o3b2o3b3o6b3o3b2o3b3o$6bobo2bobo12bobo2bobo$8bo2b
o16bo2bo$6bo6bo12bo6bo$3o4b6o7b3o4b6o$bo5bo4bo8bo5bo4bo2$obo17bobo$obo
17bobo$bo19bo$3b3o11b3o$3b2ob2o7b2ob2o$2bob4o7b4obo$2b2o3b2o5b2o3b2o$
3bo15bo$2bobobo9bobobo$2b2ob2o9b2ob2o$3b4o9b4o$3bo15bo$4b2o11b2o$5bo
11bo$4bobo9bobo$4b3o9b3o$4b2o11b2o$6bo9bo2$4bob2o7b2obo$5b2o9b2o$4bo
13bo$6bo9bo$5bo11bo$6bo9bo$4b2o11b2o$4b2o2bo5bo2b2o2$5bobo7bobo$6bo9bo
$4bo2b2o5b2o2bo$3b4ob2o3b2ob4o$2bo4b2o5b2o4bo$9bo3bo$2obo15bob2o$3bo
15bo$2o5bob2ob2obo5b2o$3bo3b2obobob2o3bo$3b2o3bobobobo3b2o$6b2obo3bob
2o$3bo15bo$5bo11bo$4bo4b2ob2o4bo$10bobo$8bo5bo$8bo5bo$8bobobobo$8bo5bo
$7b3o3b3o$9bo3bo$10bobo$7b2obobob2o$6bo3bobo3bo$5bo3bo3bo3bo$8bo5bo$5b
3o3bo3b3o$9b2ob2o$9b2ob2o2$9b2ob2o$10bobo2$8b7o$7b2o5b2o$6bo2bo3bo2bo$
4b2o2bo5bo2b2o$7b3o3b3o$3bo4bo5bo4bo2$6bob2o3b2obo$5bo11bo$8b2o3b2o$7b
2o5b2o$6b3o5b3o$8bo5bo$5bo11bo$3b2o3bo5bo3b2o$3b2o2bo7bo2b2o2$3b3o2bo
5bo2b3o$3b2o3bo5bo3b2o$6bo9bo$7bo7bo$8b2o3b2o$6b5ob5o$5b4obobob4o$3b2o
bobo5bobob2o$3b2o4bo3bo4b2o$3b2o5bobo5b2o$10bobo$4bobo3b3o3bobo$4bo2bo
7bo2bo$4bobo9bobo$6bo9bo$4bobo9bobo$4bobo9bobo$3bo5bo3bo5bo$2bo2bo2bob
obobo2bo2bo$2bo3bo9bo3bo$3b2ob2ob2ob2ob2ob2o$7bo7bo$6b2o7b2o$4bobo9bob
o2$3b3o11b3o!

[C_R_116]

What row did you start from? There's that loose connection so that I suspect a width-10 odd-symmetric search from the following row (highlighted white) might give alternate solutions (assuming you didn't start from there):

Well, I started from this row, so I think it's possible that we'll get another solution:

Code: Select all

x = 59, y = 71, rule = LifeHistory
2.A12.A27.A12.A$.A.A10.A.A25.A.A10.A.A$A3.A8.A3.A23.A3.A8.A3.A$.A2.A
8.A2.A25.A2.A8.A2.A$.A.A4.2A4.A.A25.A.A4.2A4.A.A$2.3A3.2A3.3A27.3A3.
2A3.3A$5.A6.A33.A6.A$4.A2.4A2.A4.3A17.3A4.A2.4A2.A$8.2A9.A19.A9.2A$5.
3A2.3A33.3A2.3A$18.A.A17.A.A$18.A.A17.A.A$19.A19.A$21.3A11.3A$21.2A.
2A7.2A.2A$20.A.4A7.4A.A$20.2A3.2A5.2A3.2A$21.A15.A$20.A.A.A9.A.A.A$
20.2A.2A9.2A.2A$21.4A9.4A$21.A15.A$22.2A11.2A$23.A11.A$22.A.A9.A.A$
22.3A9.3A$22.2A11.2A$24.A9.A2$22.A.2A7.2A.A$23.2A9.2A$22.A13.A$24.A9.
A$23.A11.A$24.A9.A$22.2A11.2A$22.2A2.A5.A2.2A2$23.A.A7.A.A$24.A9.A$
22.A2.2A5.2A2.A$21.4A.2A3.2A.4A$20.A4.2A5.2A4.A$27.A3.A$18.2A.A15.A.
2A$21.A15.A$18.2A5.A.2A.2A.A5.2A$21.A3.2A.A.A.2A3.A$21.2A3.A.A.A.A3.
2A$24.2A.A3.A.2A$20.DC8D7.A$23.A11.A$22.A4.2A.2A4.A$28.A.A$26.A5.A$
26.A5.A$26.A.A.A.A$26.A5.A$25.3A3.3A$27.A3.A$28.A.A$25.2A.A.A.2A$24.A
3.A.A3.A$23.A3.A3.A3.A$26.A5.A$23.3A3.A3.3A$27.2A.2A$27.2A.2A2$27.2A.
2A$27.2A.2A!

By the way, in case a maximum-allowed-width search doesn't give you any results, you can also change the distance between the two front partials and take a look if anything could be found. There could be lots of spaceships coming from this simple partial:

Code: Select all

x = 63, y = 40, rule = LifeHistory
2.A12.A31.A12.A$.A.A10.A.A29.A.A10.A.A$A3.A8.A3.A27.A3.A8.A3.A$.A2.A
8.A2.A29.A2.A8.A2.A$.A.A4.2A4.A.A29.A.A4.2A4.A.A$2.3A3.2A3.3A31.3A3.
2A3.3A$5.A6.A37.A6.A$4.A2.4A2.A4.3A21.3A4.A2.4A2.A$8.2A9.A23.A9.2A$5.
3A2.3A37.3A2.3A$18.A.A21.A.A$18.A.A21.A.A$19.A23.A$21.3A15.3A$21.2A.
2A11.2A.2A$20.A.4A11.4A.A$20.2A3.2A9.2A3.2A$21.A19.A$20.A.A.A13.A.A.A
$20.2A.2A13.2A.2A$21.4A3.D5.D3.4A$21.A5.2D5.2D5.A$22.2A2.11D2.2A$23.A
3.2D5.2D3.A$22.A.A3.D5.D3.A.A$22.3A13.3A$22.2A15.2A$24.A13.A2$22.A.2A
11.2A.A$23.2A13.2A$22.A17.A$24.A13.A$23.A15.A$24.A13.A$22.2A15.2A$22.
2A2.A9.A2.2A2$23.A.A11.A.A$24.A13.A!

[Sokwe]

What row did you start from? There's that loose connection so that I suspect a width-10 odd-symmetric search from the following row (highlighted white) might give alternate solutions (assuming you didn't start from there)....

I'd try the search myself, but my "4-core and 7 years ago" laptop for some reason won't compile qfind correctly.

Well, I started from this row, so I think it's possible that we'll get another solution:

Code: Select all

x = 59, y = 71, rule = LifeHistory
2.A12.A27.A12.A$.A.A10.A.A25.A.A10.A.A$A3.A8.A3.A23.A3.A8.A3.A$.A2.A
8.A2.A25.A2.A8.A2.A$.A.A4.2A4.A.A25.A.A4.2A4.A.A$2.3A3.2A3.3A27.3A3.
2A3.3A$5.A6.A33.A6.A$4.A2.4A2.A4.3A17.3A4.A2.4A2.A$8.2A9.A19.A9.2A$5.
3A2.3A33.3A2.3A$18.A.A17.A.A$18.A.A17.A.A$19.A19.A$21.3A11.3A$21.2A.
2A7.2A.2A$20.A.4A7.4A.A$20.2A3.2A5.2A3.2A$21.A15.A$20.A.A.A9.A.A.A$
20.2A.2A9.2A.2A$21.4A9.4A$21.A15.A$22.2A11.2A$23.A11.A$22.A.A9.A.A$
22.3A9.3A$22.2A11.2A$24.A9.A2$22.A.2A7.2A.A$23.2A9.2A$22.A13.A$24.A9.
A$23.A11.A$24.A9.A$22.2A11.2A$22.2A2.A5.A2.2A2$23.A.A7.A.A$24.A9.A$
22.A2.2A5.2A2.A$21.4A.2A3.2A.4A$20.A4.2A5.2A4.A$27.A3.A$18.2A.A15.A.
2A$21.A15.A$18.2A5.A.2A.2A.A5.2A$21.A3.2A.A.A.2A3.A$21.2A3.A.A.A.A3.
2A$24.2A.A3.A.2A$20.DC8D7.A$23.A11.A$22.A4.2A.2A4.A$28.A.A$26.A5.A$
26.A5.A$26.A.A.A.A$26.A5.A$25.3A3.3A$27.A3.A$28.A.A$25.2A.A.A.2A$24.A
3.A.A3.A$23.A3.A3.A3.A$26.A5.A$23.3A3.A3.3A$27.2A.2A$27.2A.2A2$27.2A.
2A$27.2A.2A!

Right after I posted I went to see if I could borrow a someone else's much better pc. Fortunately I could, and I ran the search I had described, but it found a shorter solution (not good Edit: resolved, see here):

Code: Select all

x = 59, y = 86, rule = B3/S23
2bo12bo27bo12bo$bobo10bobo25bobo10bobo$o3bo8bo3bo23bo3bo8bo3bo$bo2bo8b
o2bo25bo2bo8bo2bo$bobo4b2o4bobo25bobo4b2o4bobo$2b3o3b2o3b3o27b3o3b2o3b
3o$5bo6bo33bo6bo$4bo2b4o2bo4b3o17b3o4bo2b4o2bo$8b2o9bo19bo9b2o$5b3o2b
3o33b3o2b3o$18bobo17bobo$18bobo17bobo$19bo19bo$21b3o11b3o$21b2ob2o7b2o
b2o$20bob4o7b4obo$20b2o3b2o5b2o3b2o$21bo15bo$20bobobo9bobobo$20b2ob2o
9b2ob2o$21b4o9b4o$21bo15bo$22b2o11b2o$23bo11bo$22bobo9bobo$22b3o9b3o$
22b2o11b2o$24bo9bo2$22bob2o7b2obo$23b2o9b2o$22bo13bo$24bo9bo$23bo11bo$
24bo9bo$22b2o11b2o$22b2o2bo5bo2b2o2$23bobo7bobo$24bo9bo$22bo2b2o5b2o2b
o$21b4ob2o3b2ob4o$20bo4b2o5b2o4bo$27bo3bo$18b2obo15bob2o$21bo15bo$18b
2o5bob2ob2obo5b2o$21bo3b2obobob2o3bo$21b2o3bobobobo3b2o$24b2obo3bob2o$
21bo15bo$23bo11bo$22bo4b2ob2o4bo$28bobo$26bo5bo$26bo5bo$26bobobobo$26b
o5bo$25b3o3b3o$27bo3bo$28bobo$25b2obobob2o$24bo3bobo3bo$23bo3bo3bo3bo$
26bo5bo$23b3o3bo3b3o$27b2ob2o$27b2ob2o2$27b2ob2o$26bobobobo$28bobo$25b
obo3bobo$27bo3bo3$23b3o7b3o$23b2ob2o3b2ob2o2$24b4o3b4o$20b2obobobo3bob
obob2o$20b2o2bo2b2ob2o2bo2b2o$24bo2bo3bo2bo$25b3o3b3o$26bo5bo$27bo3bo!

This is potentially bad (Edit: resolved, see here), as your qfind search (if I understand it right) should have found this first. Can you please share your exact setup (qfind version, qfind options used, and initial rows file) and if possible the output from the run of qfind that found the original tagalong? I need it for debugging.

[May13]

Right after I posted I went to see if I could borrow a someone else's much better pc. Fortunately I could, and I ran the search I had described, but it found a shorter solution (not good):

Code: Select all

x = 59, y = 86, rule = B3/S23
2bo12bo27bo12bo$bobo10bobo25bobo10bobo$o3bo8bo3bo23bo3bo8bo3bo$bo2bo8b
o2bo25bo2bo8bo2bo$bobo4b2o4bobo25bobo4b2o4bobo$2b3o3b2o3b3o27b3o3b2o3b
3o$5bo6bo33bo6bo$4bo2b4o2bo4b3o17b3o4bo2b4o2bo$8b2o9bo19bo9b2o$5b3o2b
3o33b3o2b3o$18bobo17bobo$18bobo17bobo$19bo19bo$21b3o11b3o$21b2ob2o7b2o
b2o$20bob4o7b4obo$20b2o3b2o5b2o3b2o$21bo15bo$20bobobo9bobobo$20b2ob2o
9b2ob2o$21b4o9b4o$21bo15bo$22b2o11b2o$23bo11bo$22bobo9bobo$22b3o9b3o$
22b2o11b2o$24bo9bo2$22bob2o7b2obo$23b2o9b2o$22bo13bo$24bo9bo$23bo11bo$
24bo9bo$22b2o11b2o$22b2o2bo5bo2b2o2$23bobo7bobo$24bo9bo$22bo2b2o5b2o2b
o$21b4ob2o3b2ob4o$20bo4b2o5b2o4bo$27bo3bo$18b2obo15bob2o$21bo15bo$18b
2o5bob2ob2obo5b2o$21bo3b2obobob2o3bo$21b2o3bobobobo3b2o$24b2obo3bob2o$
21bo15bo$23bo11bo$22bo4b2ob2o4bo$28bobo$26bo5bo$26bo5bo$26bobobobo$26b
o5bo$25b3o3b3o$27bo3bo$28bobo$25b2obobob2o$24bo3bobo3bo$23bo3bo3bo3bo$
26bo5bo$23b3o3bo3b3o$27b2ob2o$27b2ob2o2$27b2ob2o$26bobobobo$28bobo$25b
obo3bobo$27bo3bo3$23b3o7b3o$23b2ob2o3b2ob2o2$24b4o3b4o$20b2obobobo3bob
obob2o$20b2o2bo2b2ob2o2bo2b2o$24bo2bo3bo2bo$25b3o3b3o$26bo5bo$27bo3bo!

This spaceship can be used to support the doo-dah tagalong:

Code: Select all

x = 57, y = 95, rule = B3/S23
3o10b3o25b3o10b3o$obo10bobo25bobo10bobo$3o10b3o25b3o10b3o$b2o4b2o4b2o
27b2o4b2o4b2o$6bo2bo37bo2bo$2bobo6bobo4bo19bo4bobo6bobo$3b10o5bo19bo5b
10o$5bo4bo6bobo17bobo6bo4bo$5bo4bo35bo4bo$5bo4bo6bobo17bobo6bo4bo$17b
3o17b3o2$21b2o11b2o$20b2obo9bob2o$23b2o7b2o$19b2o3bo7bo3b2o$20bo3bo7bo
3bo$19bo17bo$19b2ob2o9b2ob2o$21b2o11b2o2$20b3o11b3o$22bo11bo2$21b3o9b
3o$22bobo7bobo2$21bo2bo7bo2bo$23bo9bo$21b3o9b3o2$22bobo7bobo$22bo11bo$
21b2o11b2o$21b2o3bo3bo3b2o$25bo5bo$21bo2bo7bo2bo$18bo19bo$22b3o7b3o2$
18bo2b2obobo3bobob2o2bo$19bob2o2bobobobo2b2obo$20b3o2bo5bo2b3o$18bob2o
13b2obo$17b2o3bo4bobo4bo3b2o$17b2o2b4o2bobo2b4o2b2o$21b2obo2bobo2bob2o
$21bo3bobobobo3bo$21bob2o2bobo2b2obo$20b3o11b3o$22bo3bo3bo3bo$20b2o4bo
3bo4b2o$27bobo$26b2ob2o$25b3ob3o$25bobobobo$23bobo5bobo$25bo5bo$26bo3b
o$27bobo$25bobobobo$24b2obobob2o$22b2ob2o3b2ob2o$22b3o7b3o$23bo9bo$27b
3o$26b2ob2o2$26b2ob2o$27bobo$24b2obobob2o$27bobo8b3o10b3o$23bo9bo$25b
2o3b2o6bobo10bobo$39bo12bo$22b2o9b2o$22b2ob2o3b2ob2o5b2ob6ob2o$25bo5bo
$22b4o5b4o6bo2bo2bo2bo$20bo5bo3bo5bo$19b2obo3bo3bo3bob2o4b8o$22bobobo
3bobobo10b2o$19b2o4bo5bo4b2o4b2o4b2o$25bo5bo$26b2ob2o5bo6bo$36bo6bo$
36b2o4b2o$37b2o2b2o$37b2o2b2o$36b3o2b3o$32bobobo6bobobo$32bobob2o4b2ob
obo$32bo3b8o3bo$33b3o3b2o3b3o$33b3o8b3o!

Edit: the first known weekender-less doo-dah tagalong supporters:

Code: Select all

x = 211, y = 93, rule = B3/S23
9b3o25b3o13b3o13b3o25b3o39b3o25b3o13b3o13b3o$44b2ob2o11b2ob2o109b2ob2o
11b2ob2o$5bo3bobo25bobo3bobobobo3bobo3bobobobo3bobo25bobo3bo31bo3bobo
25bobo3bobobobo3bobo3bobobobo3bobo3bo$4bobo3bo3bo19bo3bo4bobobobo4bo4b
obobobo4bo3bo19bo3bo3bobo29bobo3bo3bo19bo3bo4bobobobo4bo4bobobobo4bo3b
obo$3b2o2bo6bo19bo8b2o3b2o9b2o3b2o8bo19bo6bo2b2o27b2o2bo6bo19bo8b2o3b
2o9b2o3b2o7bo2b2o$6b2o5bobo17bobo6b2o5b2o7b2o5b2o6bobo17bobo5b2o33b2o
5bobo17bobo6b2o5b2o7b2o5b2o6b2o$6b2o32bobo7bobo3bobo7bobo32b2o33b2o32b
obo7bobo3bobo7bobo4b2o$6b2o5bobo17bobo3bo5bobo5bobo5bobo5bo3bobo17bobo
5b2o33b2o5bobo17bobo3bo5bobo5bobo5bobo5bo3b2o$3bo9b3o17b3o4bo4bobo4bo
3bo4bobo4bo4b3o17b3o9bo27bo9b3o17b3o4bo4bobo4bo3bo4bobo4bo8bo$3b3o34b
2o3bobo3b2o3b2o3bobo3b2o34b3o27b3o34b2o3bobo3b2o3b2o3bobo3b2o6b3o$3b2o
bo10b2o11b2o13bobo13bobo13b2o11b2o10bob2o27b2obo10b2o11b2o13bobo13bobo
10bob2o$5b3o8b2obo9bob2o11b2ob2o11b2ob2o11b2obo9bob2o8b3o31b3o8b2obo9b
ob2o11b2ob2o11b2ob2o8b3o$5b3o11b2o7b2o49b2o7b2o11b3o31b3o11b2o7b2o43b
3o$15b2o3bo7bo3b2o41b2o3bo7bo3b2o51b2o3bo7bo3b2o$16bo3bo7bo3bo43bo3bo
7bo3bo53bo3bo7bo3bo$5bo9bo17bo41bo17bo9bo31bo9bo17bo41bo$3b2o10b2ob2o
9b2ob2o41b2ob2o9b2ob2o10b2o27b2o10b2ob2o9b2ob2o42b2o$4bo2bo9b2o11b2o
45b2o11b2o9bo2bo29bo2bo9b2o11b2o41bo2bo$5b3o93b3o31b3o65b3o$5bo2bo7b3o
11b3o43b3o11b3o7bo2bo31bo2bo7b3o11b3o39bo2bo$7bo10bo11bo47bo11bo10bo
35bo10bo11bo42bo$5bobo93bobo31bobo65bobo$4bobobo8b3o9b3o45b3o9b3o8bobo
bo29bobobo8b3o9b3o40bobobo$2b3obobo9bobo7bobo47bobo7bobo9bobob3o25b3ob
obo9bobo7bobo41bobob3o2$2b2o13bo2bo7bo2bo45bo2bo7bo2bo13b2o25b2o13bo2b
o7bo2bo45b2o$bobobo13bo9bo49bo9bo13bobobo23bobobo13bo9bo45bobobo$bobo
2b2o9b3o9b3o13b3o13b3o13b3o9b3o9b2o2bobo23bobo2b2o9b3o9b3o13b3o13b3o9b
2o2bobo$5b3o36bo3bo2b3ob3o2bo3bo36b3o31b3o36bo3bo2b3ob3o2bo3bo8b3o$18b
obo7bobo10b2o10bobo10b2o10bobo7bobo57bobo7bobo10b2o10bobo10b2o$2b3o13b
o11bo9b2o9bobobobo9b2o9bo11bo13b3o25b3o13bo11bo9b2o9bobobobo9b2o7b3o$
2o15b2o11b2o7bo29bo7b2o11b2o15b2o21b2o15b2o11b2o7bo29bo9b2o$3o3bo10b2o
3bo3bo3b2o6b5o6b2o7b2o6b5o6b2o3bo3bo3b2o10bo3b3o21b3o3bo10b2o3bo3bo3b
2o6b5o6b2o7b2o6b5o3bo3b3o$2o2bobo14bo5bo10b2ob2o3bob2obo5bob2obo3b2ob
2o10bo5bo14bobo2b2o21b2o2bobo14bo5bo10b2ob2o3bob2obo5bob2obo3b2ob2o3bo
bo2b2o$bo3bo11bo2bo7bo2bo7b4o6b2ob2ob2ob2o6b4o7bo2bo7bo2bo11bo3bo23bo
3bo11bo2bo7bo2bo7b4o6b2ob2ob2ob2o6b4o5bo3bo$bo12bo19bo5bo4bo7bobo7bo4b
o5bo19bo12bo23bo12bo19bo5bo4bo7bobo7bo4bo10bo$18b3o7b3o13bo5b4ob4o5bo
13b3o7b3o57b3o7b3o13bo5b4ob4o5bo$40b3o9bo3bo9b3o101b3o9bo3bo9b3o$14bo
2b2obobo3bobob2o2bo7bo23bo7bo2b2obobo3bobob2o2bo49bo2b2obobo3bobob2o2b
o7bo23bo$15bob2o2bobobobo2b2obo41bob2o2bobobobo2b2obo51bob2o2bobobobo
2b2obo$16b3o2bo5bo2b3o10bo21bo10b3o2bo5bo2b3o53b3o2bo5bo2b3o10bo21bo$
14bob2o13b2obo9bo19bo9bob2o13b2obo49bob2o13b2obo9bo19bo$13b2o3bo4bobo
4bo3b2o7b2o19b2o7b2o3bo4bobo4bo3b2o47b2o3bo4bobo4bo3b2o7b2o19b2o$13b2o
2b4o2bobo2b4o2b2o6b2o21b2o6b2o2b4o2bobo2b4o2b2o47b2o2b4o2bobo2b4o2b2o
6b2o21b2o$17b2obo2bobo2bob2o8b3o23b3o8b2obo2bobo2bob2o55b2obo2bobo2bob
2o8b3o23b3o$17bo3bobobobo3bo45bo3bobobobo3bo55bo3bobobobo3bo$17bob2o2b
obo2b2obo9b2o23b2o9bob2o2bobo2b2obo55bob2o2bobo2b2obo9b2o23b2o$16b3o
11b3o8b2o23b2o8b3o11b3o53b3o11b3o8b2o23b2o$18bo3bo3bo3bo8b4obo19bob4o
8bo3bo3bo3bo57bo3bo3bo3bo8b4obo19bob4o$16b2o4bo3bo4b2o6bo5b2o15b2o5bo
6b2o4bo3bo4b2o53b2o4bo3bo4b2o6bo5b2o15b2o5bo$23bobo57bobo67bobo$22b2ob
2o20bo13bo20b2ob2o65b2ob2o20bo13bo$21b3ob3o16bo2bo13bo2bo16b3ob3o63b3o
b3o16bo2bo13bo2bo$21bobobobo14b3o2bo13bo2b3o14bobobobo63bobobobo14b3o
2bo13bo2b3o$19bobo5bobo11b2o23b2o11bobo5bobo59bobo5bobo11b2o23b2o$21bo
5bo53bo5bo63bo5bo$22bo3bo18b2o15b2o18bo3bo65bo3bo18b2o15b2o$23bobo19b
2o15b2o19bobo67bobo19b2o15b2o$21bobobobo14b2o3bo13bo3b2o14bobobobo63bo
bobobo14b2o3bo13bo3b2o$20b2obobob2o13b2o3b2o11b2o3b2o13b2obobob2o61b2o
bobob2o13b2o3b2o11b2o3b2o$18b2ob2o3b2ob2o8bo5bob2o11b2obo5bo8b2ob2o3b
2ob2o57b2ob2o3b2ob2o8bo5bob2o11b2obo5bo$18b3o7b3o6b2obo5bo15bo5bob2o6b
3o7b3o57b3o7b3o6b2obo5bo15bo5bob2o$19bo9bo7b2o2bo25bo2b2o7bo9bo59bo9bo
7b2o2bo25bo2b2o$23b3o13bo2bo23bo2bo13b3o67b3o13bo2bo23bo2bo$22b2ob2o
12bo2bo23bo2bo12b2ob2o65b2ob2o12bo2bo23bo2bo$40b2o25b2o101b2o25b2o$22b
2ob2o10bob2o27b2obo10b2ob2o65b2ob2o10bob2o27b2obo$23bobo10bo2bo29bo2bo
10bobo67bobo10bo2bo29bo2bo$20b2obobob2o8bo3bo25bo3bo8b2obobob2o61b2obo
bob2o8bo3bo25bo3bo$23bobo20bo15bo20bobo67bobo20bo15bo$19bo9bo9bobo3b3o
4bo3bo4b3o3bobo9bo9bo59bo9bo9bobo3b3o4bo3bo4b3o3bobo$21b2o3b2o12bo4b3o
4b2ob2o4b3o4bo12b2o3b2o63b2o3b2o12bo4b3o4b2ob2o4b3o4bo$51bobobobo123bo
bobobo$18b2o9b2o11bo9bo3bo9bo11b2o9b2o57b2o9b2o11bo9bo3bo9bo$18b2ob2o
3b2ob2o10b3o6bo7bo6b3o10b2ob2o3b2ob2o57b2ob2o3b2ob2o10b3o6bo7bo6b3o$
21bo5bo14b2o4b3o7b3o4b2o14bo5bo63bo5bo14b2o4b3o7b3o4b2o$18b4o5b4o9bo7b
o2b2o3b2o2bo7bo9b4o5b4o57b4o5b4o9bo7bo2b2o3b2o2bo7bo$16bo5bo3bo5bo6bob
o6b6ob6o6bobo6bo5bo3bo5bo53bo5bo3bo5bo6bobo6b6ob6o6bobo$15b2obo3bo3bo
3bob2o4b2obo7bo9bo7bob2o4b2obo3bo3bo3bob2o51b2obo3bo3bo3bob2o4b2obo7bo
9bo7bob2o$18bobobo3bobobo10bo9bobobobo9bo10bobobo3bobobo57bobobo3bobob
o10bo9bobobobo9bo$15b2o4bo5bo4b2o4b2o12b2ob2o12b2o4b2o4bo5bo4b2o51b2o
4bo5bo4b2o4b2o12b2ob2o12b2o$21bo5bo53bo5bo63bo5bo$22b2ob2o5bo6bo29bo6b
o5b2ob2o65b2ob2o5bo6bo$32bo6bo29bo6bo85bo6bo$32b2o4b2o29b2o4b2o85b2o4b
2o$33b2o2b2o31b2o2b2o87b2o2b2o$33b2o2b2o31b2o2b2o87b2o2b2o$32b3o2b3o
29b3o2b3o85b3o2b3o$28bobobo6bobobo21bobobo6bobobo77bobobo6bobobo$28bob
ob2o4b2obobo21bobob2o4b2obobo77bobob2o4b2obobo$28bo3b8o3bo21bo3b8o3bo
77bo3b8o3bo$29b3o3b2o3b3o23b3o3b2o3b3o79b3o3b2o3b3o$29b3o8b3o23b3o8b3o
79b3o8b3o!

[dbell]

This is an improvement on a previous diagonal c/4 multiplication by three convoy since it uses a period 12 backward rake instead of a period 24 ship puffer. This means it doesn't have the limitation that the input rake's period is a multiple of eight.

EDIT: I moved the period 12 rakes closer to the input glider's path.

Code: Select all

#C A diagonal c/4 convoy which can triple the period of a sideways rake.
#C This uses a period 12 backwards rake to filter the output of an input
#C rake, emitting one output glider for every three input gliders.  The
#C input rake's output must be aligned with the lone glider shown here.
#C This convoy works for all diagonal c/4 rakes whose period is not
#C already a multiple of three and whose period is at least 40.
#C The two reflection spaceships at the bottom can be removed to make
#C the output gliders travel in the other sideways direction.
#C David I. Bell, 23 March 2024
x = 161, y = 212
54b3o39boo$54bobb3o36bobo$55bobo38bo$60bo38bo$58bo40boo$60bobo36boo$
63bo34boo$60bobbo33boo$60bobbo31boobbo$60bobbo28bobb3o$91boo$61bobo27b
obo$56boo5bo22b3o3bo$55boo29bo6bobbo$57bobboo25bo4bo$59boobboo24boboo
3bo$59boobbo14b5o5b5o$61bo13bob7obobo$59boobo5bo4bobbo6boo3bobo$60bobo
4b4oboobbo10bobo$60bo6bobooboobo$61bo10bo3bobobo$60bobo5bo4bo5bo14bo7b
o$62bo3boo5boo18boo5boobo$61b3ob4o8boo14bobo3boobbo$63bobboo9bo19boobb
o$65bo12bo16b5o$62boboo21b3oboob3o$61b4o17b3obbobboboboo$61bobbo17bo5b
3oboo$63boo4b3o11bo$48bo15bobobbobb3o4boo5boo$47boo14boobo5bo3bobbobo
3boo$47bob5o11bo4bo3bobobbobboboobo$43bo6bo4bo14b4o6b3obboo$42b4o3bo5b
o10bobo6bobbobb5o$42bobboo10bo7booboobb3o3bo3b3o$36b3o5bo6booboobbo7bo
3bo5boobo$bb3o31bo6bobbo3boobboo3bo5bo3bo3boo5bo$bbo34bo4b6o4bobo9boo
4boobooboo$3bo35b4oboboo6bobbobo3bobbobobobbo6bo$5boo33boo12boo3bo7bob
obbo$6bo48b3o6b4obo4boo23bo39boo$25bobo27bo10bobbo21bo6boboo36boo$3bo
20bo31bo33boo5bo5bo36bo$4obo11boob3obobboo21b3obobbo4bo4boo6boo13bobo
bbooboo3bo$o4bo11bo3bobobboboo20bo5bo4b4o10bobo16b4o6bo36b3o$bo4boo9bo
booboobobb4o19bo4boo3bobb3o8bo7bo9bo3bo3boo32boobbooboo$3bobb3o9b3o6bo
4bo22bo7bo4bo9bo3bob3o3b5obo38bobbo$7boo6boob3obo6bobobo30boo3bo8boobo
4bobboob3o6boobo30bobooboo$4booboo3boobooboo5boobo3b5obo18bo7bobo13boo
b4obo3bo7bobbo27boo4bo$5boboo3bobbo6bo9bob3obbo14b4o8b3o15boo6bo8bobo
4boo5bo12bobobo3boo$5bobo4boo19bobo3boo11boobb5obo3boo10boo4boo21boo5b
oo10boobo4bo$6boo27bo3boboo5b3o7bobo4bobo6b3obo3bobo4bobo3boo12bo4bobo
8bobbob4o$35boboboboo4b4o4b8obb3o4boob3obo3bo6bo4bobo14boo7b3ob3obb3o$
35bob3obo3boo6bo9boo7bo3bobbo8boo4bobb4obbobo4b3o8bo6b3o$43bo6bobbo20b
o13b3o3bob3o3boobobbo4boboboo5bo$39bobboo8bo4bo9bo4bobob4obo6bobobbobb
o4bobobb3o4boboboo5bo3boo$39bo7boo17bo4b4ob4o5boo3booboo4bobobboo13b3o
bbo$44bo15boboboo4boo9bob3o3b3oboo4boboobbobobbobobobboo$55boo4bo3bo4b
o4b4obbo4bo4bobo4b4obboobobo10boo$53boobbo3bo3bo4bobbobboo3bo3bo4bo3bo
boo5b3o$45b3o5boob3o3b3o5boobobo5bobo3boobbobobo7boo8boo$45bo6bobobo
13boobboobo3b3o4b4o3b3oboobboo8bobo$46bo4boobbo16bobobbobbooboo5bob8ob
oobbobo5bo$48b4obobbo15boobo4boboboboboboobobo3boboobbo10bo$49boo6b3o
7bo5bob3ob4o7booboo9boo3bo6boo$57boboboo5boo3bo10bo3bo13boo3b3o6boo$
52boo3booboobo3boo6bo3bobboobobbo8bo5bo3bobboo3boo$50b3oboobo17bo3bo8b
o3bo3boo5bo5b3obboo$49boobo24boo11boo4bobo3bo8bobobbo$49bo5boo4boo37bo
3bo7boo$50bobbo4b3o12bo25bo13bo$54bo8bo10boo23bobbo$54boo7bo9boo$60boo
$52boobbobobbooboo$51bobbobbo3booboo$50boobo7bo17bo25boo$49bo13bo16boo
22boo3bo$49bo8bo3boo15boo25boboo$51bo5boo3booboo41b3o$42boobobb3o6bobo
5bo42bo$41boo3boboo11booboo44b3o$42bobbo15booboo19bo17boobo4boo$42bobb
o17bo22boo15boboo3bobo$42bo42boo10boo4boboo3b3o$33b3o28boo30boo6bo5b3o
$33bobb4obo22b3o30bobo4boo4bobo$34b3ob4obo20b3o30b3o4boobboo$36b3obbob
o21bo25bo5boo6bobo$63b3o26boo5bobo3boo3bo$43bo12boo4bo28boo12b4o$42boo
11boo5bobbo35bobo$57bo4boo39b4o$59boo42b4o$59boo36bo6boo$98boo$97boo$$
56b3o$58bo$57bo45bo$104boo$103boo4$109bo$110boo$109boo4$115bo$116boo$
89boo24boo$88boo3bo$90boboo$92b3o$92bo28bo$94b3o25boo$95boo24boo$95boo
$95boo$95boo$95boo30bo$96boo30boo$97bo29boo$96bo$91boo$91bobobbobo$91b
o3bobo35bo8b4o$94boobbo35boo5bo5bo$95bobo35boo5bo6bo$89boo3boo43boobo
3boo$88boobob3o42bobbobbo10boo$90bobo48boboobo8bobo$138bobo3boobo7bobo
$87boo51b3o3boobo3bo$79b3o5boo3bobo49boobbo3b4obo$79bo6bobo51bo4bo3bob
o5bo$80bo4boo54bobboo3bo3b3o$82b4obo$83boo62bobo5boo$146bo8boobo$129bo
16boo6bobbo$128boo22boob5o$128bob5obo6boobboo3booboobboo$131bo3b4o4bo
bb3obbo$130bo3bo8bobo4b3o$129b3o18boo$130bob4o18bo$123bo5boo3bobo16bob
o$122b5oboobob3obb3o12bobo$122bo8b3o5boo$130boobbo$122boboob5obboboo$
114booboo4bo5boobboo$114bob3o$114bobboo3boo7boo3boo$121boo8boo4bo$118b
o3boo9bo3b3o$118bo3b3o3boobbo4bobo$122bo5bo8bo$123boo3bobo9bo$135bobb
3o$134b5o$134bobbo$136boo$137bobboo$134bo4boo$135boboboo$97boo38boobo
bbo$96boo40bo4bo$97bobo43bo$97b3o38bobo4b3o$97boo41boobo$99bobo41bo$$
101bobo$103b3o$103bo$102bo$97boboobo4bo$96booboobo$96bobo4bo$101boo$
101bo3bo$100bo3bo5b4o$109bo5bo$100bobbo4bo6bo$99boobo4boobo3boo$99bo6b
obbobbo10boo$98boo9boboobo8bobo$98bo7bobo3boobo7bobo$99bo8b3o3boobo3bo
$112boobbo3b4obo$108bo4bo3bobo5bo$109bobboo3bo3b3o$$115bobo5boo$114bo
8boobo$114boo6bobbo$120boob5o$111boobboo3booboobboo$111bobb3obbo$111bo
bo4b3o$118boo$122bo$121bobo$121bobo!

Here is the convoy being run with the smallest period it can support.

Code: Select all

#C A diagonal c/4 period 120 sideways rake.
#C This uses a period 12 convoy to filter the output from a period 40 rake.
#C David I. Bell, 23 March 2024
x = 364, y = 251
13bo$9bobobo$7boobo3bo$7bobb3o$boo6boob5o$oo5bobo4bobbo$bbo4b3o5b4oboo
5boo4b3o21boo9bo$4boo11boo4boobo3bobbo12boo9bobo7boo$4boo11bo3b4o5bo5b
o8boo10bo9bobo$16boboobo5b3o3bobbo10bo12bo8bo$15b3o8bo7bobbo11bo10b3o
7bo$15bobo17bo12bobboobo12boboo$37bobobboo3boobob4obboo8bo$27booboobbo
4boobobboboo6b3o$26boobbobbobo9bobbo3bo4bo11boobo$28bo4bo11bobbo8bo4b
3o3boo3bo$40bobo6boo11bobb5o4bo$32boo6bo22booboo3boo$32boo4bo3bo19b3o$
33bo9bo$29b4o5b5o30bo$29bobbo6b3o13b3o4booboo5boo$33bobo19bobb3obboo7b
obo$26b4o27bo10bo$26bo6boo21boo5bo3b5o$27bobboo24boobboo4boboo$30boo
10bo6boo5boo3bo5booboo$41bobo5boo6bo3bo3b3o7b3o$30b3o8bobo15b3ob3obo7b
o$23boo5bobo9bo14b3obbo6boboo5b5o$23bobo4boboo24boo9boboo5boob3o$23bo
6bobb3o27boo8b3obboo3bo$26bo3bo4bo14boo10bo8boo6bo3b4o$20boo3bo4bo3bo
15boo11boo9boo3bobbobboo$20bobobbo3bo49bobo3boo4bo$20bo4b3o55bob3obboo
$23bo28bo30bo6bobo$22bobo26bobo29b4o5bo$22bobo26bobo39bo$21bo30bo31b3o
3boboo124bo$21boo68bo125b5o37boo$21boo194bobboo36boo$60boo30boobo123b
oobo37bo$60boo23b3o3boo3bo165boo$85bobb5o4bo124bobo36bo$86booboo3boo$
62bo22b3o136b3o33bobbo$61bobo161b3o31boo$61bobo32bo125b6o30bo$62bo15b
3o4booboo5boo157boobbobo$78bobb3obboo7bobo127bo28bobobbo$80bo10bo26boo
105bo24bo3bobo$70boo7boo5bo3b5o23bobo97b3o4bo23boo4boo$70boo7boobboo4b
oboo18boo5bo99bo30bobo3boo$79boo3bo5booboo16bobo3boobbo28boo67bobb3o
29b3o$80bo3bo3b3o7b3o10bo11bo26bobo68bo3b3o14b3o7bo3bo$72bo9b3ob3obo7b
o15bo3boo3b3o24bo71bob4o12bo5bo4boobbo$71bobo6b3obbo6boboo5b5o8boo4boo
4bo26bo70boo13boo9bo$71bobo7boo9boboo5boob3o13b7o26boo67boobo4boo3b5ob
4oboob4o$72bo13boo8b3obboo3bo14b4o28boo68bo6bobbo4boo11boo$85bo8boo6bo
3b4o4bo37boo69bo6bobbo3b4o$86boo9boo3bobbobboo3boo28boo6boo70boo6boob
oobo4bo$102bobo3boo3bobo7b3o17bobo3boobbo71bo4bo4b3o4bo13boo6boo$106bo
b3o32bo5b3o76bo7boo3bo14bobo3b3obo$106bo9boo3booboo20bo77bob3obbo8boo
14bo4boo$106b4o6boo3boo23boo78bo4bo8bo16boo$82bo38bo28bo75bobo22bo5bo
4bo$81bobo23b3o8booboo26bobo72boobbo17bo3b6o5bo$81bobo33b3oboo27bo73bo
20boo3bo8bo$82bo33bo4bo29bo72bo3bo4bo11bobo3b3ob3o$116boo3bo29bobo72b
oo4b5o13b3o$120boo88boo20bobboo5boo4b3o$116b3obo32boo55bobb3o10boobo4b
oobo3boobobbo$116bo36bo56bob4o11boo4bo4bo3bobb3obbo$115boboo25boo6boo
51boo4bo3bobo14b7o3boo$114boobbo24boo8boo50bobboo9bo8boobobo8boo5bo$
92bo21boobbo19b3o4bo54bo4bo3bo7b3o8booboo3b4oboobo3bo$91bobo21b3obboo
16bo11boo14bo32boo5boobo3b7obo7b3obobobbob3o3bo$91bobo24b4o17bo6booboo
14boo32bobo3bo3boobbo13b3obbob4o3bo$92bo22bo19boo4booboobbobbo13bobo
35bo10bobbo3bo5b3o3boo3bo$115bobboobbo6bo4boo6boboboo54bo4bobbo6bo3bo
5b5obobboo$117boo9boo5bo5bo6bo19boo32bobbo11bobbo6bo4boobboo$128bobo3b
oo4b4o3bobo18boo58boboboo28boo37b3o$118bobobbo10boboboobbo3boobo68bobo
8b3o21boo6b3o37bo$109bo7boobobo8boobbobo5b5o16boboo16bob6o22bo3boo10b
oo21bobo3boobbobo36bo$108boo7boo6b3obbobo4b3obobboo17b4o13boob3oboob3o
20boo3b3o3boo12boo13bo3bo3bo4boo36boo$102bo5bobobb3o9bobb3obobb3o25bo
3boo10boo7boo23bobobboo4bobboboo6boo17boo7boo36boobo$101bobo8b3o13bo3b
ob3o31bobbo8bo4b3obo3boo23b3o3bo3bo10bo6b3o5bo5bo37boobboobbo$101bobo
7bo6bob3o3bo5boboo43bo5boo8bo23bo6bobbo11boobb5obboo4bo7bo30boobbo3bo$
102bo21bobo4boo3boo29boo3bo4b3o4bo4b3obbo3bo28b3obo9b4o6boo5bo5b3o30bo
b3o$112bobb3obo5bo7boo32boo3bobboo4boboo9bo4boo17bobo6boobo12b5obb5obb
o5boobbo26b3o4boo$112boobobboboo3bo4bo3boboo30bo5bo3boo15bo4b4o12b3o3b
o5bobbo33bo4b3o4boo11b3oboo4bo$112boob4o6bo8boo32bo6boo19bo4boobo7bo3b
oo5boo3bo9bob3o27bo6bobo9boo$113bo3b3o3bobbo3boobbo3bo12boo16boo27bo3b
obbo4bobboo3bo6bobbobbo4boo9boo4bo4boo11bo5bo7boboobbo4bo$114bo5b3obb
oo3boo4bo3bo10bobo43boobobo6boobbo5b3ob4obobo4boo5bo3bo4bobo3boobobo
10boboo7boob4o5bo$98boo16boob3o3booboboob6obbo9bo48bobobo4b3obo3bob11o
5bobob3o9bo5bo4bobboo7bobbo6bob8o$98bobo18bo5boobo3boboo5bo8boobbo47b
oobboo7boo22bobboo6bobbobboobo3boobobobboobobo3boo11bo$91boo5bo12boo5b
oo6bobbobboo7b3obbo3bo3bobboo6boo6boo30boo27boobobobboo6boo3boobbobob
oobobb3o8bobbobb3o$91bobo3boobbo9bobo16b3o7bobob3oboo4bobboo6bobo3b3ob
o30bo22boobbo3bobobbobbobboo8bo5bob3obbo4boobobboo$91bo11bo8boo14b4o7b
ooboboo3boo6bo7bo4boo61bobboo4boobobo4bo12boo4bo9bo$94bo3boo3b3o22boo
4bobobb3o3booboboobb3obbo6boo49b3o12boo4bobboboo4bobbobobobob3obo6bo$
94boo4boo4bo22bo4bo4boo4bo5bob4obo7bo4bo37bo6bo4bo3bo6boobo5boboo4boo
bboob8obo3bo$100b7o27bobb3o5boo3boboboobboobb3o5bo37boo5bo3bobo4bo5bo
3bobobobbooboobboobboo5bo3bo10boo$101b4o31bobbo5boobobo10boo5bo39bobo
3boobobo8bo4bo4bo11boo10b3o3bo6boo$108bo36bobo16b3o45bo4b3o6b3o6bo7bo
3booboo4bo11boo7bo$107b4o58bo41bo7b3o13bobboboo5boo11bobob3obo10boo$
111bo56boo41bobbo4booboo12boboobboobobbobobbooboo6bobb3obbo5bo$106b6o
9boo45bobo48bo4boo12bobboo4bo4bo12boobboobo$100b3o3boboo11bobo91b3obbo
b3o8bo3bo8boobb3o6boo5boobbo3bobbobbo$100bo5bobo13boo47boo39boo3bob3o
12bo4bobbo9bobo4bobo3boo5bo4bo$101bobbooboo62boo39bobb3o14b3o6bo12bo4b
o6bo7bobobo$103bo14b3o91bobo7b3o37bo13boo$106bo3bo7bo50boo46boo3b4o36b
oo11boo$104boo4bobo8bo46bobbo44b3o3bo$110bo7bo4bo43boobo46boo6bo13bo$
112b3o4b3o22b3o16b3o50b3o4booboo12bo$114boboo5bobo18bo18bo51boo3bo6boo
9b3o$116bo8bo5boo14bo11boo3bo48boobbobbobbo3boo$108boo3b3o10bo4bobo10b
obbo10boo5boboo44b3o8boboo39b3o$108bobobboo12bo4boo11bobbo11bo5b3o43bo
13bo40bobb3o$108bo4bo13bobo16bo15bob4o45bo6boo23bo22bobo$111bobo34bobo
bboo6bobboo45bo8bobobbooboo16bo26bo$107boo13bo6boo19boobobbo3boo42b3o
3boobo6bo3bo19b3o24bo$107boo12b5o4bobbo22bobob3o41bobb5obo9b3o3bo43bob
o$108boo5boo4bo6boo26bobo46booboo14bo3bo37boobo6bo$106bo8bobo11bo21bob
o50b3o18b3o37boo3bobbobbo$106b4o5bo5boboo6bobo8bo54bo29bo23bo7b3o4bobb
obbo3bo$98bobb3obo4bo5boo4bo4bobo12boo52b6o25bobo22bo6bo6bobbobbo3bo$
97boobbob4o3bo5bobbo6b3o12boo53bo7boo20bo23b3o9bo3bo6bobo$97bobobobobb
o9bo6booboo10boboo7boo46bo6bo54bobbo8boo$101b3obboo10bobobobbo11b4o8b
oo48bobobbo21bo33bobbo6b3o$100boobo33bobo6bo3boo48bo4bo20b3o32bo5bo3bo
$101boboo15bo4bo10b3o5bob5o54boo11b3o4bobbo28bo5boboboobo$121b4o11boo
7bobboo55boo11bo5boo32bo6boo$129boo6boo7boboo69bo4b3o29b3o10bo$128boo
3bo4bo7boo73b4o$130boboo88boo42bobbo$132b3o127bo$132bo128boboo$134b3o
27bo19bo19bo19bo19bo16bobbo$127boobo4boo27boo18boo18boo18boo18boo16b3o
$127boboo3bobo26bobo17bobo17bobo17bobo17bobo$121boo4boboo3b3o$120boo6b
o5b3o$121bobo4boo4bobo132bo$121b3o4boobboo136bo$121boo6bobo136b3o$123b
obo3boo3bo4boobo14bo$129b4o6bo3bo12bobo$125bobo11bo4bo11bo$127b4o10boo
14boo116bo$127b4o12bobo8bo121bo$128boo23bobo118b3o$138bo6boo5bo$137b5o
4bobbobboboo$131boo4bo6boo6bo$131bobo11bo105b3o27bo$131bo5boboo6bobo
101bobb3o25bo$132boo4bo4bobo106bobo25b3o$132bobbo6b3o112bo$132bo6boob
oo111bo$134bobobobbo115bobo$260bo$136bo4bo115bobbo$137b4o116bobbo$257b
obbo$$258bobo$260bo$$254boo4bo25boo$253boo4boo25boo18boo$255bobboboo
43b3o$257booboo42b4obo$302boo6boo$251b3obbo45boo5boo$251bobb3obo43bobo
bboboo7boo$252b6o44b5obbo7boobo$302boo3bobboo5bo$243bo6boo50b3obo3bo4b
oobo$242boo5bobbo50bo3boob4ob3obo$242bobo3boobo57bob3o$246bo60boo4bo3b
o$245bo65bo7bo$245bobbo69b3o$309bobo5bo$291boo16boo5boo4bo$291bobb3o
12bobo3bo6boo$291bob5obo6boobobobbobobo3boo$292bo6boo4booboob3obbo$
292bo5b3o6boboobobbo$292bobbobbo14bobo$295b4o18bo$285boobobbo7bobbo13b
obo$272bo12boboobboobo3bobbobo$272bobo10boboo3bo5bobbobo$272boo12bo4bo
5boo$286boo3bo3bobo$277boobbo4boo6bob3o$276boo4bobboo6b4o$278boobobb3o
7boo3boo$280boobbo9bobo$287bo6bobobboobo$284bobbo3boo6boobo$285bo4boo
9bo$286bo5bo8bobo$297boobbobo$297bo$297bo$299b3o$299b6o$299bo$299boo3b
o$259b3o37boobbo$259bo40b3obb3o$262bo39bo4bobo$259bobbo39b4obobo$260bo
bbo38b4obobo$261bo43bo$263bobo$265boo$266bo$265boo34b3o57b3o$264b3o36b
o59bo$259boobooboo35bo59bo$259bo3boboo$259bob3obbo$264boo$263b3o8boo$
273b3o$272b4obo$262b3o5boo6boo$262b3o5boo5boo$270bobobboboo7boo$261boo
7b5obbo7boobo$261bo8boo3bobboo5bo$270b3obo3bo4boobo$271bo3boob4ob3obo$
277bob3o$275boo4bo3bo$279bo7bo$286b3o$277bobo5bo$277boo5boo4bo$277bobo
3bo6boo$274boobobobbobobo3boo$273booboob3obbo$275boboobobbo$281bobo$
285bo$284bobo!

So now all of the small period multiplication convoys for 3, 5, and 7 work for all rakes whose periods aren't divisible by them.

BCNU,
-dbell

[C_R_116]

2c/7 puffer engine partial (the puffer will destroy itself, so we need to find something that can stabilize that too):

Code: Select all

x = 37, y = 42, rule = B3/S23
bo12bo7bo12bo$3o10b3o5b3o10b3o$3o10b3o5b3o10b3o3$3bo3b2o3bo11bo3b2o3bo
$bob4o2b4obo7bob4o2b4obo$bob4o2b4obo7bob4o2b4obo2$5b6o15b6o$4b2o4b2o
13b2o4b2o$4b2o4b2o13b2o4b2o$14bo7bo$13b3o5b3o$12bo2bo5bo2bo$11bo2bo7bo
2bo$11bob2o7b2obo$12bo11bo3$10b2o13b2o$9bob2o5bo5b2obo$9bobo5bobo5bobo
$10b4o2bo3bo2b4o$11b2obo2bobo2bob2o$15bo2bo2bo$12bobo7bobo$9b2o15b2o$
9bob2o11b2obo$10b2o13b2o$10bo15bo$10bo2bo9bo2bo2$10bobo11bobo$12bo11bo
$12bobo7bobo$11b2ob3o3b3ob2o$12bo5bo5bo$13b2o7b2o$13b2o7b2o$10b2o3b7o
3b2o$10b2o13b2o!

Code: Select all

x = 45, y = 54, rule = B3/S23
5$3bo12bo7bo12bo$2b3o10b3o5b3o10b3o$2b3o10b3o5b3o10b3o3$5bo3b2o3bo11bo
3b2o3bo$3bob4o2b4obo7bob4o2b4obo$3bob4o2b4obo7bob4o2b4obo2$7b6o15b6o$
6b2o4b2o13b2o4b2o$6b2o4b2o13b2o4b2o$16bo7bo$15b3o5b3o$14bo2bo5bo2bo$
13bo2bo7bo2bo$13bob2o7b2obo$14bo11bo3$12b2o13b2o$11bob2o5bo5b2obo$11bo
bo5bobo5bobo$12b4o2bo3bo2b4o$13b2obo2bobo2bob2o$17bo2bo2bo$14bobo7bobo
$11b2o15b2o$11bob2o11b2obo$12b2o13b2o$12bo15bo$12bo2bo9bo2bo2$12bobo
11bobo$14bo11bo$14bobo7bobo$13b2ob3o3b3ob2o$14bo5bo5bo$15b2o7b2o$15b2o
7b2o$12b2o3b7o3b2o$12b2o13b2o!
[[ PASTET EVERY 7 PASTEDELTA 0 -2 PASTE 2o13b2o$2o13b2o! 12 45 ]]

The longest partial from qfind:

Code: Select all

x = 37, y = 98, rule = B3/S23
3o10b3o5b3o10b3o$obo10bobo5bobo10bobo$3o10b3o5b3o10b3o$b2o4b2o4b2o7b2o
4b2o4b2o$6bo2bo17bo2bo$2bobo6bobo9bobo6bobo$3b10o11b10o$5bo4bo15bo4bo$
5bo4bo15bo4bo$5bo4bo15bo4bo2$13b2o7b2o$12bo2b2o3b2o2bo$11bo13bo$11bobo
9bobo$11bo3bo5bo3bo$11bobobo5bobobo$12b3o7b3o$12b2o9b2o$10b3o11b3o$10b
o2bo4bo4bo2bo$10bo6b3o6bo$14bo2b3o2bo$11bobo9bobo$11bo2bo7bo2bo$10b2ob
2o7b2ob2o$9bo4bo7bo4bo$8bo3b2o9b2o3bo$13bo9bo$11bo13bo$8bo2bo13bo2bo$
9b2o15b2o$11bo13bo$11bobo9bobo$14bo7bo$11b2o2bo5bo2b2o$16bo3bo$14b3obo
b3o$18bo$18bo2$9b5o4bo4b5o$8bob3o5bo5b3obo$8bo3bo5bo5bo3bo$9bo2bo11bo
2bo$13b4o3b4o$11b6o3b6o$13b3o2bo2b3o$14bo7bo$12b3o7b3o$10b2o2bo7bo2b2o
$10b2o13b2o$11bo4b2ob2o4bo$11b2o2b3ob3o2b2o$11b3o9b3o$12b3o7b3o$12b2o
9b2o$15b2o3b2o$12b2o2bo3bo2b2o$13b3o5b3o$10bob3ob5ob3obo$11b2o2b2o3b2o
2b2o$11b3obo5bob3o2$14b2o5b2o$12bob2o5b2obo$10b2obo9bob2o$13bo2bo3bo2b
o$16bo3bo$13b2o7b2o2$12b3o7b3o$13b2o7b2o$11b3o9b3o$13bob3ob3obo$12bobo
7bobo$13b2ob2ob2ob2o$15bo5bo$10b3o11b3o$10b2o13b2o$11b5o5b5o$11bo3bo5b
o3bo$10b2obo9bob2o$14b2obobob2o$9bobob5ob5obobo$8bo4bo2bo3bo2bo4bo$9b
5obo5bob5o$12bo2bo5bo2bo$11b3o2bo3bo2b3o$9bo3bo2bo3bo2bo3bo$9b2ob2ob7o
b2ob2o$14bo7bo$8bo2bo2bo7bo2bo2bo$9b2o5b2ob2o5b2o$8b2o4b2o2bo2b2o4b2o$
8b3ob2obo2bo2bob2ob3o$10b2o13b2o$9bo7b3o7bo!

[amling]

2c/7 puffer engine partial (the puffer will destroy itself, so we need to find something that can stabilize that too):

Code: Select all

x = 45, y = 54, rule = B3/S23
5$3bo12bo7bo12bo$2b3o10b3o5b3o10b3o$2b3o10b3o5b3o10b3o3$5bo3b2o3bo11bo
3b2o3bo$3bob4o2b4obo7bob4o2b4obo$3bob4o2b4obo7bob4o2b4obo2$7b6o15b6o$
6b2o4b2o13b2o4b2o$6b2o4b2o13b2o4b2o$16bo7bo$15b3o5b3o$14bo2bo5bo2bo$
13bo2bo7bo2bo$13bob2o7b2obo$14bo11bo3$12b2o13b2o$11bob2o5bo5b2obo$11bo
bo5bobo5bobo$12b4o2bo3bo2b4o$13b2obo2bobo2bob2o$17bo2bo2bo$14bobo7bobo
$11b2o15b2o$11bob2o11b2obo$12b2o13b2o$12bo15bo$12bo2bo9bo2bo2$12bobo
11bobo$14bo11bo$14bobo7bobo$13b2ob3o3b3ob2o$14bo5bo5bo$15b2o7b2o$15b2o
7b2o$12b2o3b7o3b2o$12b2o13b2o!
[[ PASTET EVERY 7 PASTEDELTA 0 -2 PASTE 2o13b2o$2o13b2o! 12 45 ]]

A quick trip in the puffer fuzzer finds this, seemingly period 35 right at the top and some giant multiple of that in full (1085?):

Code: Select all

x = 37, y = 105, rule = B3/S23
bo12bo7bo12bo$3o10b3o5b3o10b3o$3o10b3o5b3o10b3o3$3bo3b2o3bo11bo3b2o3bo
$bob4o2b4obo7bob4o2b4obo$bob4o2b4obo7bob4o2b4obo2$5b6o15b6o$4b2o4b2o
13b2o4b2o$4b2o4b2o13b2o4b2o$14bo7bo$13b3o5b3o$12bo2bo5bo2bo$11bo2bo7bo
2bo$11bob2o7b2obo$12bo11bo3$10b2o13b2o$9bob2o5bo5b2obo$9bobo5bobo5bobo
$10b4o2bo3bo2b4o$11b2obo2bobo2bob2o$15bo2bo2bo$12bobo7bobo$9b2o15b2o$
9bob2o11b2obo$10b2o13b2o$10bo15bo$10bo2bo9bo2bo2$10bobo11bobo$12bo11bo
$12bobo7bobo$11b2ob3o3b3ob2o$12bo5bo5bo$13b2o7b2o$13b2o7b2o$10b2o3b7o
3b2o$10b2o13b2o4$19b2o$19b2o3$13b2o$12bo2bo$13b2o2$20bo$19b2o$18bo2bo$
14bo3bobo$13b3o3b2o$12bob2o$11b3o$16b2o$15bo2bo$14bo$18bo$12bo5bo$19bo
$12bo2bobobo$15bo$12bo2bob3o$11bo2bo3b2o$11bo3bob2o$11b2obo5b2o$13b3o
3b2obo$15b4o3bo$16b2o2b2o2$16b3o$9bo6b2o$9bo2bo4b2o$9bo8b2o$10b3o6b2o$
10bobo8bo$11b3o6b2o2$18b2o$18b2o$18b2o3$28bo$27bobo$26bo2b2o$26bo4bo$
26b3ob3o$27bo3bo$28b3o$12b2o15bo$11bo2bo$11b5o$15b2o6b3o$15b2o5b2ob2o$
15b2o5b2obobo$12b2ob2o6bo3bo$12b2o9bo2bo$12b3o9b3o!
[[ PASTET EVERY 7 PASTEDELTA 0 -2 PASTE 2o13b2o$2o13b2o! 10 40 ]]

[dbell]

After getting nice multipliers for 3, 5, and 7, here is one for the next prime.

Code: Select all

#C A diagonal c/4 convoy to multiply the period of a sideways rake by 11.
#C This uses a period 44 blinker puffer to filter the output of an input
#C rake, emitting one output glider for every 11 input gliders.  The
#C input rake's output must be aligned with the lone glider shown here.
#C This convoy works for all diagonal c/4 rakes whose period is not
#C already a multiple of 11 and whose period is at least 24.
#C David I. Bell, 23 March 2024
x = 328, y = 296
64boo$63boo$57boo5bo$56boo5boo$58bo4bobobboo$60boo3boob4o$60boo10bo$
72bo$66bo$68boo$$70bo$69bobo$69bobo$68bo$68bobo$65boboobo$64b3o$64bo4b
o$$64bo4bo$63boo3boo$64boboo$63bobboo$63boobo$63b3o58b4o6boo$63boboobo
51boobo5bo4bobo$63boo3bo47b3ob3o6bo4bo$63boo3bo47bo11b3o6bo$64bo40bo
11bo4bobobo4bo5boo$66bo37b5o7boo3bobb3o3bobo4boo$66boboo34bobboo4b5obb
oo5bo3boo3boo$67bobbo35booboboo4bobboo5bo3boobboo$71bo24bo17bo17bobboo
$73bo21boo4boo6bo$68bo3boo21bobobboobb3obbo3bo$56boo11bo30bobob3obbo3b
o$9boo44boo12boobboo23boobbobbobobbobo$9bobo45bo12boo15bo5bo3bobbo3bo
3boobbo$9bo49boo9b6o10boo4boo3bobobbobbob6o8boobbo$12bo45bo11bo4bo10bo
bo3bob3o4boo17boo4bo$12boo57bobbo19boobo8bo4bobbo6bobo$12boo39b3obobbo
11bo3bo12bobbo9bo11b5obb4oboo$11boo40bobbo18b3o10b4o3bobo18bo3boo5boob
o$bboo6boo44bobbo15bo11boo9b3o15boobbo4boo$bbobo3boobbo41bo26bo4boo5bo
bbobboo18boo3b4obboo$bbo5b3o43b4o15boo5b4o8bo5bo25bo6bo$5bo44b3o4bobo
12b3o5bobbooboobbo$5boo43bobbo20bo7boobo41b3oboo$9bo42bo18bo14b5o$8bob
o40boo3boo6boo6b3o6b4obo43bo$9boo3bo36boo3bobo4boo7bo7boboo6bo39bo$9b
oo3boobo33b3obbo8bo9bo4bobobb3o42bo$10bo3bo3bo13bo4boo17bo13boo3bo4bo
bboboobbo$15bo3bo11b3obboo15boboob3o9boobbo5b3o5bo$13boobbo8boobbobbo
4bo16boo5b5obboobo$12boo3bo6boobobbo3boboo10boo4b3o6b5o5boo5b3o$14bobb
o5b4oboboo4bobo5boobboo10bobobobobbo3boo$16b4oboo6b3oboo3boo3boo3bobo
5boboo13boo$20bo7b5o4bo4boo5b3o18bo3bo4boo$20boo4b4o5bobbo3boo3boobobo
14bo3boboo4boo$bboo22boo11bobbo4bo6bo11boo3boboo3boobbo$bbobo42bobbo3b
o6b3obbobo3b3o9bo$bbo45b5obbo5bo8bob3o3boo4b3o$5bo24b3o5bobo3b4o7boboo
3bo6bo3boo11boo$5boo23bo6booboboboboo4bobbo8boobo3boboobboo4booboo$5b
oo24bobb3obobboo9bobo4bo5boobo5bo7bo19b3o$4boo18b4o5bo5bobo15bobo3boob
oboobobo8bo3bo15bo$ooboo15boobo5bo4bobbo3b4o16bobboboo3b3o9b3o10b3o6bo
$o4bo10b3ob3o6bo7bobob3oboo14bo5booboo24bo6bobbo$ob4o10bo11b3o6bobo6bo
4boo44bo6boboo$4boo11bo4bobobo4bo4bobboo9boo10bo4bo31boo3boboo$4boo10b
oo3bobb3o3bobo4b3o3bo8bo7bobb3o5bo28bo3bobo$4boo7b5obboo5bo3boo3boobob
ob3o8boo3boo3bo3bob3o31boboo$6bo3boboo3bobboo5bo3boobboobboobbo10boobb
oo4b3obo25b3o3boo6bo$5boo4bobbo17bobboo5boo13b3obboob3o26bobboobbob3ob
o$5bo6bo28bobo13b3obboo3bo27bobbobboobo$6bo36bobo15b3o3bo29boobooboobo
$35boo3bobobobo10boo8boo34bobbo$34boo3boobobboo9b5o5boo34boobbo$36bo7b
o10bo3bo3boboo$38bobb3o11bo5bob4o$43bo9bobobobboo5bo$38boob3o8b3o3bobo
$39bob3o8bobobboobo4b3o$37boboobbo13b3oboo3bo$36booboo15bo9boboobo$39b
oobboo4boo6bo9boob3o$36bobo5boobboo8bo3bo3booboo25bo$35boobobo3boo4bo
10bo11b3o19boo$35boobboo11boo3boboo6bobo24bo6bo$37boobboo9boobboboobb
oo4booboo14boo6b3obbo$34boo3b4o12booboo13boo11boo3bo4boboboo$33bobobb
oo3bo5bo5boobo16bo12boboo5boobo$33bobo3bo4bo3boo5boo12bo5bo14b3o5bobo$
32bo6boo3bo3bobobboo4bo9boo19bo8bo$32boo5bobo10b3obboo6boo3b4o18b3o$
32boo18bo4bo6boobbo3boo11boobo4boo$40bobo16bo6bobo16boboo3bobo$43bo4b
oo3bo5bo8bo10boo4boboo3b3o$40bobo4boo3b3o4boo7bobbo6boo6bo5b3o$38boo9b
o10bo18bobo4boo4bobo$32b3obbobo11bobobo4b3o5b3o8b3o4boobboo$32bo4b3o
11bobbo6boo5b3o8boo6bobo21b3o$33bo3boo13b3o15boo9bobo3boo3bo18bobboo
25b3o$41b3o10bo3b3o26b4o20boobo26bo$36b3o3boo11bo5bo7b3o11bobo56bo$38b
obbo15boobbo7boo14b4o24bo27b3o$33booboo19bo7b3o17b4o22boo28b3oboo$32b
oobboobobo14bo8bobb3o15boo16boo$34bob3o10b3obbobbo9b4o32boo3bo$36bo4bo
bo5bobboo3bo7bob3o35boboo35bo$34bo6bobo6bobo12boo40b3o27boobobb5o$33b
oo7bo12bo9bobobobo35bo28boo3boboboobo$33bo7bo24boo41b3o25bobbo5bobo$
41boo8bobbo9boo36boobo4boo25bobbo$39b4o7boobo9bo3bobbo31boboo3bobo25bo
$38boo10bo15bo3bo25boo4boboo3b3o28bo$38bobo8boo12bobobbo26boo6bo5b3o
18boo5bobbo5b3o$49bo15b3obbo25bobo4boo4bobo17boo3boboobboo4bo$40bo9bo
15boobo26b3o4boobboo22bob4obb3o6bo$39boo26bo28boo6bobo24boobobb4obboo$
67bobo28bobo3boo3bo21bo3bobbo4boobo$68boboo32b4o23bo3boboobbo3bo$69boo
bo27bobo28bobob3ob3o8boobbo$64boo4boo30b4o18b3o5bobbobo11boo4bo$64bobo
3bo31b4o18b3o4boo3bo3bobbo6bobo$64bo6bo31boo19boo6bo7bobb5obb4oboo$67b
o3bo51bo8bo4bo7bo3boo5boobo$67boo52boobbo11boo6boobbo4boo$122bo3bo10b
oo9boo3b4obboo$122bobbo27bo6bo5boobo7b3o$123b3o40bo3bo6bo$156b3oboo4bo
4bo7bo7boo$117boo49boo7bobo4boobo$117bobo39bo10bobo4b3obobboo$117bo41b
o16bo3boobboo6boo$120bo38bo12boob4oboo9boo$120boo51b7o13bo$120boo73boo
$119boo73bo$115booboo$115bo4bo72bobbo25boo$115bob4o69boobo28bobo$119b
oo14b3o19b3o29boo4bo26bo$119boo16bo21bo15bo5bo9bobobbo6bo21bo$119boo
15bo21bo16bobobobo14bo5boo18bobb3o$121bo53boo3boo11bobbo5bobo16boobo$
120boo72bobo25boob3o$120bo73bobo8boo$121bo73boo7b4o13bo$127bo67bo5bobo
16boboobo$126bobooboo66b3obbo12boboobobo$127bo4bo66bo3boo8boob3oboboo$
129bobboo32boo31bobo10boo7boo$129bobbo32boo33boo4boo6boboo3boo$130b3o
34bo32bo6boo$130boo37boo36boo5bo$168bo40bobbobbo$209b4obbo18b3o$167bo
bbo41bo21bo$164boobo41boo24bo$163boo4bo41bo25boo$165bobobbo35bo31bo$
170bo34b5o$167bobbo34bobboo25boo$168bobo64boo$168bobo32bo3boobbo22bobo
$169boo30bobo26booboo$169bo32boo5bobo17booboobo$225boo3boboo$211b3o11b
obobbobbo$225bo7bo$213bobo3bo10bobbo$219bo7b4obo$215bobobo7boo$217b3ob
3obo9boo$217b3o5bobbo6bobo$218boo8bo6bo$238bo$238boo$238boo$237boo27bo
$233booboo27boo$233bo4bo26bobo$224bo8bob4o$224bo12boo6b3o17boboboo$
224bo12boo6bo19boobboo$237boo7bo17bobbobo$239bo8boo$238boo7boobbo$238b
o7bo4bo11b3obobo$239bo3b4o16boobbo$241boobboo9boob3o5bo$244bo3boo6bo3b
o3boo$243boo11boboobobbo$235bo7bo6boo$235bo8bo6bo$235bo20b3o$252boob4o
19boo$252boo23boo$253bobbo22bo$281boo$253bobo24bo$248b3o$248bobboo26bo
bbo$249bobobbo23boo$246bo4boobo22bo$246bo5boo19boobbobo$246bo5bo20bobo
bbo$254boo13bo3bobo$268boo4boo$255bobo10bobo3boo11b3o$273b3o11bo$257bo
bob3o7bo3bo4b3o6bo$265bo4boobbo5bo6bobo$259bo9bo11bo4boob4o$260b4oboob
4o11b4ob5oboo$257bo12boo12boo7boobo$257bo$257bo3$146b3o$148bo$147bo$$
254bo$253boo$247bo5bobo$246boo$246bobo3boobobo$250bo7boo$249bo4bo5boo$
249bobbobb6o3$262b3o$262bobboo56b3o$261booboo57bo$256boo66bo$255boo4bo
bo62boo$257bobboboo63bo$259boo13boo$259boo4bo7boo49boo$260bo4b3o6bobbo
46boo$266boo6boobo45bobo$268boobobboo3bo20boo17booboo$269bobo27boo17b
ooboobo$269bobbo4bobobo18bobo11boo3boboo$264bo3b3o10bo18b3o11bobobbobb
o$263boo16bobo16boo12bo7bo$263bobobo34bobo3bo10bobbo$268boo13bobo22bo
7b4obo$263bobo38bobobo7boo$262boobo10b3o6b3o18b3ob3obo$263bo7bo4bobb3o
4b3o17b3o5bobbo$262bo7boo5boob5ob3o18boo8bo$261b3o6bobo3b3o4booboo$
257bobbo3boo16bobo$252b3ob3obb5o6b3o6bobbo$252bo5bobbobo7b3o7bo$253bo
3bo4bo10bobob4obbo$255boobobbo13booboo$256bobo16b6o$256bobo$284boobo$
284bo3bo$284bo4bo$286boo$288bobo$$283bo6boo$282b5o4bobbo$276boo4bo6boo
$276bobo11bo$276bo5boboo6bobo$277boo4bo4bobo$277bobbo6b3o$277bo6booboo
6bo$279bobobobbo7b5o$294bobboo$281bo4bo9boobo$282b4o$299bobo$$292b3o6b
3o$287bo4bobb3o4b3o$286boo5boob5ob3o$286bobo3b3o4booboo$298bobo$288b3o
6bobbo$287b3o7bo$289bobob4obbo$291booboo$291b6o!

Here is the convoy being run with the smallest period it can support.

Code: Select all

#C A diagonal c/4 period 264 sideways rake.
#C This uses a period 44 convoy to filter the output from a period 24 rake.
#C David I. Bell, 23 March 2024
x = 529, y = 296
136boo$135boo$129boo5bo$128boo5boo$130bo4bobobboo$132boo3boob4o$132boo
10bo$144bo$138bo$140boo$$142bo$141bobo$141bobo$140bo$140bobo$137boboob
o$136b3o$136bo4bo$$136bo4bo$135boo3boo$136boboo$135bobboo$135boobo$
135b3o58b4o6boo$135boboobo51boobo5bo4bobo$135boo3bo47b3ob3o6bo4bo$135b
oo3bo47bo11b3o6bo$136bo40bo11bo4bobobo4bo5boo$138bo37b5o7boo3bobb3o3bo
bo4boo$138boboo34bobboo4b5obboo5bo3boo3boo$139bobbo35booboboo4bobboo5b
o3boobboo$143bo24bo17bo17bobboo$145bo21boo4boo6bo$140bo3boo21bobobboo
bb3obbo3bo$128boo11bo30bobob3obbo3bo$81boo44boo12boobboo23boobbobbobo
bbobo$81bobo45bo12boo15bo5bo3bobbo3bo3boobbo$81bo49boo9b6o10boo4boo3bo
bobbobbob6o8boobbo$84bo45bo11bo4bo10bobo3bob3o4boo17boo4bo$84boo57bobb
o19boobo8bo4bobbo6bobo$84boo39b3obobbo11bo3bo12bobbo9bo11b5obb4oboo$
83boo40bobbo18b3o10b4o3bobo18bo3boo5boobo$74boo6boo44bobbo15bo11boo9b
3o15boobbo4boo$74bobo3boobbo41bo26bo4boo5bobbobboo18boo3b4obboo$74bo5b
3o43b4o15boo5b4o8bo5bo25bo6bo$77bo44b3o4bobo12b3o5bobbooboobbo$77boo
43bobbo20bo7boobo41b3oboo$81bo42bo18bo14b5o$80bobo40boo3boo6boo6b3o6b
4obo43bo$81boo3bo36boo3bobo4boo7bo7boboo6bo39bo$81boo3boobo33b3obbo8bo
9bo4bobobb3o42bo$19b3o60bo3bo3bo13bo4boo17bo13boo3bo4bobboboobbo$19bo
67bo3bo11b3obboo15boboob3o9boobbo5b3o5bo$20bo64boobbo8boobbobbo4bo16b
oo5b5obboobo$19b3o62boo3bo6boobobbo3boboo10boo4b3o6b5o5boo5b3o$19b3ob
oo61bobbo5b4oboboo4bobo5boobboo10bobobobobbo3boo$88b4oboo6b3oboo3boo3b
oo3bobo5boboo13boo$92bo7b5o4bo4boo5b3o18bo3bo$22bo69boo4b4o5bobbo3boo
3boobobo14bo3boboo3bo$21boo51boo22boo11bobbo4bo6bo11boo3boboobboobo$
21bo52bobo42bobbo3bo6b3obbobo3b3o3bob3o$22b3o49bo45b5obbo5bo8bob3o$77b
o24b3o5bobo3b4o7boboo3bo6bo3boo3b3oboobo$22boobo9boo7boo31boo23bo6boob
oboboboo4bobbo8boobo3boboo6bobb3o$22boo11bobo4boobo31boo24bobb3obobboo
9bobo4bo5boobo5bobbobbo6bo14b3o$24bobo8bo6b3obb3o26boo18b4o5bo5bobo15b
obo3booboboobobo4bo23bo$38bo3bobbobbob3o19booboo15boobo5bo4bobbo3b4o
16bobboboo3b3o5boo15b3o6bo$26b3o9bobobboboobb3o20bo4bo10b3ob3o6bo7bobo
b3oboo14bo5booboo24bo6bobbo$38bobobbobo4boo20bob4o10bo11b3o6bobo6bo4b
oo44bo6boboo$19b3o6bobo6b6o33boo11bo4bobobo4bo4bobboo9boo10bo4bo31boo
3boboo$19bo15b3o4bo16boo15boo10boo3bobb3o3bobo4b3o3bo8bo7bobb3o5bo28bo
3bobo$20bo9bo3bo8bo9boo4bobo6b4o4boo7b5obboo5bo3boo3boobobob3o8boo3boo
3bo3bob3o31boboo$22boo5boo3bobbo4boobbo5boo5bo6bo5bo5bo3boboo3bobboo5b
o3boobboobboobbo10boobboo4b3obo17bo7b3o3boo6bo$23bo5boo3b3obb5o10bo10b
oo3b3o4boo4bobbo17bobboo5boo13b3obboob3o17bo8bobboobbob3obo$29boo7b3o
4b4o3b3o9bo5bo6bo6bo28bobo13b3obboo3bo18boo7bobbobboobo$20bo14bobbo5b
7obbo4boob4obo11bo36bobo15b3o3bo29boobooboobo$17b4obo5b3obb3o3bo15bob
oobbo4bobo38boo3bobobobo10boo8boo19bo14bobbo$17bo4bo6boobboo15bobbob4o
47boo3boobobboo9b5o5boo18bobo13boobbo$18bo4boo4boobboo19bobo51bo7bo10b
o3bo3boboo18bobo8boo$20bobb3o5b3o24bo51bobb3o11bo5bob4o28b3o$24boo6b3o
80bo9bobobobboo5bo27boboo$21booboo3bo3boo19bo55boob3o8b3o3bobo37boo$
22boboobb3obo3b3o14boo56bob3o8bobobboobo4b3o27boboo$22bobo3bobboo20bob
o53boboobbo13b3oboo3bo28b3o$23boo6boo3boobbo67booboo15bo9boboobo24bo$
33boobboobo15boo53boobboo4boo6bo9boob3o$31boo4bobo16boo50bobo5boobboo
8bo3bo3booboo$25bo4bo5bobobo66boobobo3boo4bo10bo11b3o$17boo5boboboobb
oo3boo13boboo27b3o21boobboo11boo3boboo6bobo37boo$16boo5boo3boboob4obb
oo10b4o28bo25boobboo9boobboboobboo4booboo14boo16b5o$18bo3boobbo3boo7b
oo10bo3boo27bo21boo3b4o12booboo13boo11boo3bo13bo3bo$20bo6boo5boo20bobb
o4boo21boo16bobobboo3bo5bo5boobo16bo12boboo12b3obobo$19bo6boo5bo8bobo
18boo18b3obbo16bobo3bo4bo3boo5boo12bo5bo14b3o13bo$18boobbo9boo9boo10b
oo3bo4bo16bo21bo6boo3bo3bobobboo4bo9boo19bo15boobboo$18b3obb3o4boo11bo
11boo3bo22bobbobo15boo5bobo10b3obboo6boo3b4o18b3o12b5o$18bo6boobbo26bo
9b3o17bobo15boo18bo4bo6boobbo3boo11boobo4boo10bo5bo$14b3ob3o7boobo14bo
bo7bo7bob4o12bo29bobo16bo6bobo16boboo3bobo9bo7boo$14bo4bo9bob5o11boo8b
oo3b6o13boobobo28bo4boo3bo5bo8bo10boo4boboo3b3o9bobo4b3o$16bo8b5obboo
13bo12boo4boo7boboo3bo3bo25bobo4boo3b3o4boo7bobbo6boo6bo5b3o10bo$11b4o
boo6bo35boo4bo7boobooboboo26boo9bo10bo18bobo4boo4bobo$11bo3booboo4bo5b
o19bobo8bo7bo4bobo3bobo21b3obbobo11bobobo4b3o5b3o8b3o4boobboo$12bo5boo
4bobo4boo18boo8bo7bo13bo20bo4b3o11bobbo6boo5b3o8boo6bobo22boo$11boobo
3bo7boo23bo10boo4bo36bo3boo13b3o15boo9bobo3boo3bo17boobbo26b3o$11boo4b
o4boob3obb6o34bo4bobo35b3o10bo3b3o26b4o18boob3o26bo$14bobb4oboob3obboo
4bo17bobo14boboobo31b3o3boo11bo5bo7b3o11bobo23bob3o28bo$12bobobboobob
oobboo27boo14boo8bo28bobbo15boobbo7boo14b4o52b3o$12bo5b3o5bo28bo15bobb
oo4b5o20booboo19bo7b3o17b4o52b3oboo$20bo5boo3bo3b3o34boo6bobboo19boobb
oobobo14bo8bobb3o15boo16boo$12bobo11bo3boobobbo21bobo10b3o8boobo20bob
3o10b3obbobbo9b4o32boo3bo$10b4o11boobboobbo25boo6boobbo36bo4bobo5bobb
oo3bo7bob3o35boboo35bo$9boo13b3obbobobbobbo21bo6boobboo13bobo18bo6bobo
6bobo12boo40b3o5b3o19boobobb5o$9bo11boob3o4bo5bobboo26bobboo32boo7bo
12bo9bobobobo35bo7bobboo3bo12boo3boboboobo$11bobo6boo3bo5bobbobooboo
21bobo5bo7b3o6b3o15bo7bo24boo41b3o3bo4boobo13bobbo5bobo$10b3o9b4o5bo4b
o3bo22boo5boo6bobb3o4b3o22boo8bobbo9boo36boobo4boo11bo13bobbo$11bo10b
4o9b6o22bo15boob5ob3o20b4o7boobo9bo3bobbo31boboo3bobo3boo3bo16bo$9b3o
8boo10boo3bobboo29b3o4b3o4booboo20boo10bo15bo3bo25boo4boboo3b3o5bo22bo
$5boo4boo6bo6boo6bobobo27bobo4bo10bobo23bobo8boo12bobobbo26boo6bo5b3o
6bobo9boo5bobbo5b3o$4boobo5bo5bobbo11boo31boo4b3o7bobbo34bo15b3obbo25b
obo4boo4bobo5boo3bo6boo3boboobboo4bo$5bobb3obo6boboo11b4obbo26bo7bo7bo
28bo9bo15boobo26b3o4boobboo9bo3boo7bob4obb3o6bo$4b3o9boo11b3o3boobobo
34b3ob4obbo25boo26bo28boo6bobo16bo7boobobb4obboo$3obooboo6boo3bo7bobbo
b3o4bobo27bobo4booboo57bobo28bobo3boo3bo9bobbo8bo3bobbo4boobo$o14bobbo
8bo4boobo4bobo28boo4b6o57boboo32b4o12b3o8bo3boboobbo3bo$bbobbo8boo11bo
5bo6bo30bo69boobo27bobo28bobob3ob3o8boobbo$boo4bo8bo12boo8b3o94boo4boo
30b4o26bobbobo11boo4bo$bb4o8boo10boo3bo7boo33bobo59bobo3bo31b4o25boo3b
o3bobbo6bobo$14boo10bo4boo6boo34boo3boo54bo6bo31boo27bo7bobb5obb4oboo$
16bo11bo8bo37bo5bo57bo3bo60bo4bo7bo3boo5boobo$15boo8boobo3bobboobboo
37bobbo57boo68boo6boobbo4boo$15bo12bo3boobbo43bo6boo120boo9boo3b4obboo
$16bo10b4obboobobbo46bobbo18b3o114bo6bo5boobo7b3o$33b4o4bo45boo19bo
129bo3bo6bo$33boo5bo27boo5bo33bo118b3oboo4bo4bo7bo7boo$30b3obo4bo27boo
5b5o32boo76boo49boo7bobo4boobo$31boobobbo31bo6boobo32bo76bobo39bo10bob
o4b3obobboo$30b3obo36bobbobbobo13boo94bo41bo16bo3boobboo6boo$30bobboo
3boo30bo21bobbo13bo29boo51bo38bo12boob4oboo9boo$30bo8bo29booboo19boo
11b4obo26boo52boo51b7o13bo$25boobb5obo33boo35bo4bo28bo51boo73boo$24boo
3b4o3b3o21booboo4boo36bo4boo5boo21bo48boo73bo$26bobobo29bob3o4boo38bo
bb3o4bobo16b6o43booboo$29bo30bobboo4bo29boo12boo4bo18bobbo45bo4bo9bo
62bobbo25boo$28boo37b3o28bobbo8booboo7bo15b6o43bob4o8bobo58boobo28bobo
$64boobbo30boo10boboo6bobbo14bo3bo47boo30b3o19b3o13boo4bo26bo$64bo3bo
42bobo7bobbo13boo51boo9boo21bo21bo15bobobbo6bo21bo$112boo4b3obbo12boob
3o49boo4bobboo22bo21bo21bo5boo18bobb3o$65boo28boo19bobobbo11boobbo3bo
51bo3b3o65bobbo5bobo16boobo$94boo9boo8boob4o7b3ob3obo54boo4boobo64bobo
25boob3o$96bo7bobbo8boboo9bo5bobo54bo7boo64bobo8boo$63b3o32bo8bo8bobo
4b3o4bo7boo53bo73boo7b4o13bo$63bo33bobb3o3bo10boo13bo36boo96bo5bobo16b
oboobo$64bo6boo23boo3b3o20bobo41boo101b3obbo12boboobobo$66boobboo13boo
9boo6bo21bobb4o19bo17bo100bo3boo8boob3oboboo$67bo4bo11b4oboo5bo3b3o8b
oo13booboo20boo19boo64boo31bobo10boo7boo$74boo3booboo3bo12bobobbo5bobo
15bo21bobo17bo65boo33boo4boo6boboo3boo$64bo9boobbobobobobbo3bobboo4bob
oobo6boo13boo110bo32bo6boo$61b4obo10boo3bob3oboboob3obbobb3o3bo19bo26b
oo14bobbo67boo36boo5bo$61bo4bo10boo9bobo9bobbob3o14boobo28boo6boo5boo
69bo40bobbobbo$62bo4boo12boo4boo4boo3bobbobboo16bo3bo34boo5bo112b4obbo
18b3o$64bobb3o4b8o5boo9bobbobboo11boo3bo3bo25boo9bo4bobo68bobbo41bo21b
o$68boo4booboo11bo3bo3bo5bo12bobo4bobo24bobbo10boobbo66boobo7bo21bo11b
oo24bo$65booboobbo20bo9bo14boo30boobo11boo68boo4bo5bobo17bobo13bo25boo
$66boboobbobo24bo25bobo18b3o88bobobbo4boo19boo8bo31bo$66bobo3bobo20boo
3b3ob3o39bo22boo71bo34b5o$67boo26bobboo3b5o19boo13boo3bo20bobbo67bobbo
34bobboo25boo$95bo27boo4bo11boo5boboo8b3o4bo3b4o65bobo64boo$91boo3boo
7boobboo12bobo4boo11bo5b3o8bo6bobboo68bobo36boobbo22bobo$90boo4bo10bob
3o12boo19bob4o10bo9bobbo66boo59booboo$92bobboo4bob3obboo21bobobboo6bo
bboo14boo3boo4bo66bo39bobo17booboobo$94bo4bo3b3obboo23boobobbo3boo19bo
3boo127boo3boboo$94b6o6b3o30bobob3o25bobo109b3o11bobobbobbo$100bo4bobo
21boo8bobo7boo15b3obbobo123bo7bo$90boboo3boob4oboo3b3o16bobobbobo11boo
9bo4boo6bo112bobo3bo10bobbo$89b4obob3o3bobboo23boo18bo6boobobbo5bo121b
o7b4obo$89bo3bobboobobobboo4bobbo38boobboobbobboob3o3bo114bobobo7boo$
94b3obbobo3bo6bo39b4obbo6b4o3bo116b3ob3obo9boo$86boo5bobo7bobo6bo41b3o
9boobobo3b3o111b3o5bobbo6bobo$86bobo4bobo13b5o45boobo12bo6boo106boo8bo
6bo$86bo5bo11bo3b4o34b3obb3ob6ob3oboo9bo4bobo125bo$89boboobbo9b3obbo
29boo4bo4b3oboo4bo3bo9bobo4bo8bo4bo7b3o4boo97boo$89booboo13b3o29bobo5b
o3bo7boob5obbo5boo6bo6boo3b7obo7bobo96boo$71b3o11bo6bobo12bo16b3o12b3o
15bobbo3boboobbo3bo5boobo6bobobbo10bo4bo75b5o17boo27bo$71bo12boo3boo3b
oo12boo14bobb3o9boo8boo3b5o5bobo3bo3bobobbo3boo5boo5boo4bobo85bo13boob
oo27boo$72bo11bobobbo4boo12b7o10bobo11bo9b3ob5obbobo3b5oboobboo10bobb
oobbo5bo3bo8bo7b6o59booboo13bo4bo26bobo$74boo12bobobboo12booboboo16bo
21bo3bobo3bo4boo5bobbo3booboboo3bobobob3o3b4o3boboobobo4boob4o60bo15bo
b4o$75bo12bobob3o19bo13bo7bobo10bobb4o4boboo9boboo7bo15bobboo3boob3o3b
o3bobboobo81boo6b3o17boboboo$89bobo16bobobbo16bobo4bo23b4obobo5bo5b3ob
o4boo4boo5bobbooboo5b3obboo3bo11bo71boo6bo19boobboo$72boo3bo10bo3boo
14boo13boobo6bo3bo12b3o3bo8boboo9boo4bo4bo3boo8b4obbobb3o4b3o3bobo8boo
71boo7bo17bobbobo$64b3o5boobbobo8boo17boobooboo8boo3bobbobbo14bo5boob
oobbo4boobo6boo3bob3o3boboo18bo7b3obbobobobo5bobo72bo8boo$64bo6bobo3bo
boo6bobo13b4o3boo4b3o4bobbobbo3bo13bo6boo3bo4boobo8bo4bobo21b4o19bobo
6bo72boo7boobbo$65bo4boo12bo18bo8bo3bo6bobbobbo3bo12bo8boobobbo11b3o6b
4o20b3o5bo6bob3o3bo3b6o71bo7bo4bo11b3obobo$67b4obo7bob4o18bo6bo7bo3bo
6bobo14boo8bo3bo11bo10bo23bo3boo8b3ob3o5bo3bo72bo3b4o16boobbo$68boo12b
obbo20b3ob3o3bobbo8boo18bo25bo47bo3boboobobob3o66bo8boobboo9boob3o5bo$
110b3o4bobbo6b3o98boo7boo65bo11bo3boo6bo3bo3boo$110boo6bo5bo3bo9b3o87b
3o6bobo64bo10boo11boboobobbo$107b3o10boboboobo10bo14bo82bo78bo6boo$
107boobboo9boo7b3o6bo11bobo72boo6bobboo76bo6bo$110bobo13bo4bo6bobo11bo
bbo71boo5boboo3bo86b3o$132bo4boob4o9boo70boobobobboo5bo83boob4o19boo$
113bo9bobbo7b4ob5oboo77boobo4bo3bo4bo82boo23boo$112boo21boo7boobo76bo
3bobboo92bobbo22bo$112bo46bo26boo37bo6bo120boo$112bobo33bo9bobo24boo3b
o44boo88bobo24bo$107b3o4bo33bo9bobbo25boboo44bo79bo4b3o$107bobboobbo
32bobboo7boo28b3o43boo78bo4bobboo26bobbo$108bobo36boboobo36bo125bo5bob
obbo23boo$113bo27boo4boo42b3o129boobo22bo$141bobobb3o16bo18boobo4boo
130boo19boobbobo$109bobbo28bo3bo18bobo17boboo3bobo130bo20bobobbo$108b
oobo32boo3bo9boo3bobbo10boo4boboo3b3o132boo13bo3bobo$108bo35bo4bo9bobo
3boo10boo6bo5b3o146boo4boo$107boo42bo7bo18bobo4boo4bobo133bobo10bobo3b
oo11b3o$107bo37boo4boo7b3o15b3o4boobboo154b3o11bo$108bo45boo4bob3o6bo
6boo6bobo140bobob3o7bo3bo4b3o6bo$154b3obo4bo6bobo7bobo3boo3bo134bo10bo
4boobbo5bo6bobo$161boobbo4bobbo12b4o136bo4bo9bo11bo4boob4o$154bo3bo6bo
bo3boo9bobo141bo5b4oboob4o11b4ob5oboo$148b3obboobo27b4o154boo12boo7boo
bo$148bo4boo12bobo7bo6b4o$150bobboo20booboo5boo$148bobo18bobo8bo$148b
oo12boobo6bo8bo$148bobo10boo3bobbobbobbo4bo11b3o9b3o9b3o9b3o9b3o9b3o9b
3o9b3o9b3o9b3o9b3o9b3o9b3o9b3o$155b3o4bobbobbo3bo4b3o14bo11bo11bo11bo
11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo$146boo7bo6bobbobbo3bo20bo11bo
11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo11bo$143bobbooboo7bo3bo6bo
bo$138booboo3bobbo5bobbo8boo157bo$137boo3bo13bobbo6b3o14bo141boo$139bo
bobobb3o8bo5bo3bo14bobo134bo5bobo$159boboboobo15bobbo132boo$141b3obbo
14boo20boo133bobo3boobobo$141boo22bo156bo7boo$175boo144bo4bo5boo$162bo
bbo8boo13bo131bobbobb6o$168boo5bo12bobo$167boo5boo12bobbo$169bo4bobobb
oo8boo143b3o$171boo3boob4o151bobboo56b3o$171boo10bo149booboo57bo$183bo
11bo132boo66bo$177bo16bobo130boo4bobo62boo$179boo3boo8bobbo131bobboboo
63bo$184b4o7boo134boo13boo$183bo4bo142boo4bo7boo49boo$178bo4bo4bo143bo
4b3o6bobbo46boo$177boo3boo17bo5boobo7b3o117boo6boobo45bobo$177bobo3bo
16bobo4bo3bo6bo121boobobboo3bo20boo17booboo$181b5o10bo3bobbo3bo4bo7bo
7boo111bobo27boo17booboobo$181b4o10boo4boo6boo7bobo4boobo112bobbo4bobo
bo18bobo11boo3boboo$181boo5bo6bobo13bobo4b3obobboo109bo3b3o10bo18b3o
11bobobbobbo$182bo3boo29bo3boobboo108boo16bobo16boo12bo7bo$189bo6boboo
7bo5boob4oboo112bobobo34bobo3bo10bobbo$190b3ob4obobo4bobo5b7o119boo13b
obo22bo7b4obo$191boboobbo3bo4bobbo125bobo38bobobo7boo$190bobboo6b3o3b
oo125boobo10b3o6b3o18b3ob3obo$185boo3bobo10bo131bo7bo4bobb3o4b3o17b3o
5bobbo$184boo3bobbo10b3o7bo120bo7boo5boob5ob3o18boo8bo$186bo3bo14bo6bo
bo7boo109b3o6bobo3b3o4booboo$184boo3bo15b3o3boobboo5boo105bobbo3boo16b
obo$184boo12boobo4boo3b3oboo6boo99b3ob3obb5o6b3o6bobbo$198boboo3bobo4b
ooboo107bo5bobbobo7b3o7bo$185boo5boo4boboo3b3o6bo110bo3bo4bo10bobob4o
bbo$183bo7boo6bo5b3o119boobobbo13booboo$179bobb5o5bobo4boo4bobo120bobo
16b6o$174boobbobo4bobo4b3o4boobboo14b3o106bobo$174bobobo4bo8boo6bobo
19bo133boobo$174bo3bo15bobo3boo3bo11boo3boo132bo3bo$180booboo15b4o13b
oo4bo132bo4bo$177bo18bobo18boo3bo135boo$177booboo16b4o17b3o138bobo$
198b4o$199boo154bo6boo30b3o129b3o$354b5o4bobbo29bo131bo$348boo4bo6boo
32bo131bo$348bobo11bo$348bo5boboo6bobo$349boo4bo4bobo$349bobbo6b3o$
349bo6booboo6bo$351bobobobbo7b5o$366bobboo$353bo4bo9boobo$354b4o$371bo
bo$$364b3o6b3o$359bo4bobb3o4b3o$358boo5boob5ob3o$358bobo3b3o4booboo$
370bobo$360b3o6bobbo$359b3o7bo$361bobob4obbo$363booboo$363b6o!

This uses a really lucky reaction, in that the blinker eater spaceship also works to suppress unwanted products from the glider impacts.

Hmm, this new mechanism is so simple, it might generalise to other filtering periods. I'll have to check.

EDIT:

Yes, it does seem to generalize. Here is an example where the filtering convoy multiplies by 13.

Code: Select all

#C A diagonal c/4 period 572 (11 * 13 * 4) sideways rake.
#C This uses rakes of periods 44 and 52 whose output reacts
#C occasionally to create ships which are turned into gliders.
#C David I. Bell, 23 March 2024
x = 434, y = 278
99b3o$99bo$100bo$102boo$103bo$$100bo$97b4obo$97bo4bo$98bo4boo$103b3o$
100bo3boo$98b4ob3o$97boobobobo$97bo$98bo23boobo7b3o$103b3o16bo3bo6bo$
79boo41bo4bo7bo7boo$79bobo20boo20boo7bobo4boobo$79bo22b3o21bobo4b3obo
bboo$82bo21bo27bo3boobboo$82boo19b3o22boob4oboo$82boo20boboo21b7o$81b
oo20bo3boo$72boo6boo21bo4bo$72bobo3boobbo21bo$72bo5b3o24boo10bo$75bo
40boo5b3o5bo16bo$75boo26boob3o7bobo4bo7b3o13boo$79bo23bobbobbo15bo4bo
bbo13bobo$78bobo22b3o13boobbobo3boo$79boo3bo19bo15bobbobob5o18boo$79b
oo3boobo15boo14boobbo4bo21boo$80bo3bo3bo12boboo3bo6boobo6boobo$85bo3bo
8boboo6boo4b3o31boo$83boobbo6b6obb4obo3b3oboo30bobbo$82boo3bo10bo20bo
26boobo$84bobbo5boobooboboboo8boobb3o3b3o16b3o$86b4oboobbo5bo3b9o3boo
4bo18bo$90bo35bo11boo3bo$90boo31bobbo10boo5boboo$109boo13bobbo11bo5b3o
$109boo14bo15bob4o$97bo11boo16bobobboo6bobboo$96b5o8boobo16boobobbo3b
oo9boobbo$96bobboo9bobobbobo6bo10bobob3o7boo$98boobo9bo3bobbo4boo10bob
o13booboobo$93boo18boobbo5bo6bobo20bobobbo$92boo7bobo9boo9bobboo23bob
5o$93bobo6boo9b3o7bobb4o21boob3o$93b3o6b3o18bo5bo21boo$93boo10boo16bo
5bo21bobbo$95bobo9bo21bo12bo7booboboo$98boo7bo19boo12boo6bo3boo3bo$97b
3o5boobboo11boo17bobobb4oboo5bo$99bo6bob3o10b3o19bob3o3bo5bobbo$100bo
bbo3bo11b3obbo19bo4boo$100bobboo5bo7boboo19boboboobobo7b4o$101boobbo
37b4obbo$104bo11b3o26boobbo9b5o$103boo11bobo24bobo6bo9b3oboo$64boo37b
oobo9bobo12bo12boo4boobbo7bobobobo$63boo52bo9bo3boo21bobo4bo$57boo5bo
61bobbobobo18bobobo4boo$56boo5boo43boo16b3obbobbo19bobobbooboob3o$58bo
4bobobboo37boo3bo14bobo26b3oboobo6bo$60boo3boob4o37boboo15boo3bo22boo
3boobo3bob3o$60boo10bo38b3o15boboo24boo4bobo3bo$72bo38bo15bo33bobbobb
oo$66bo46b3o11bo29boobbo6bo$68boo36boobo4boo41bo3bo3bo$106boboo3bobo
15b3o24bo4boboo$70bo29boo4boboo3b3o15boboo29bo$69bobo27boo6bo5b3o15b3o
9boo17boo$69bobo28bobo4boo4bobo15boobo8boo18bo$68bo31b3o4boobboo15bobb
oobo28bo$68bobo29boo6bobo17bobbo65b3o$65boboobo31bobo3boo3bo18boo63bo$
64b3o41b4o30boo54bo$64bo4bo34bobo32bobboo56boo$106b4o29bo4bo56bo$64bo
4bo36b4o29bobboo$63boo3boo37boo32boo55boo$64boboo130boo$63bobboo129bob
o$63boobo107boo17booboo$63b3o58b4o6boo20boo15boo17booboobo$63boboobo
51boobo5bo4bobo19boo16bobo11boo3boboo$63boo3bo47b3ob3o6bo4bo8boo29b3o
11bobobbobbo$63boo3bo47bo11b3o6bo5boo29boo12bo7bo$64bo40bo11bo4bobobo
4bo5boo37bobo3bo10bobbo$66bo37b5o7boo3bobb3o3bobo4boo43bo7b4obo$66bob
oo34bobboo4b5obboo5bo3boo3boo31b3o6bobobo7boo$67bobbo35booboboo4bobboo
5bo3boobboo32b3o8b3ob3obo$71bo24bo17bo17bobboo12bo16boo4bo7b3o5bobbo$
73bo21boo4boo6bo38bobo14b3o4b3o6boo8bo$68bo3boo21bobobboobb3obbo3bo34b
obo15boo4boo$56boo11bo30bobob3obbo3bo35bo17b3obb3o$9boo44boo12boobboo
23boobbobbobobbobo55boo$9bobo45bo12boo15bo5bo3bobbo3bo3boobbo56b3obo$
9bo49boo9b6o10boo4boo3bobobbobbob6o8boobbo44boo10boo$12bo45bo11bo4bo
10bobo3bob3o4boo17boo4bo29boo23bobbo$12boo57bobbo19boobo8bo4bobbo6bobo
32boo22b6o$12boo39b3obobbo11bo3bo12bobbo9bo11b5obb4oboo53bobbo$11boo
40bobbo18b3o10b4o3bobo18bo3boo5boobo42b3o6boo$bboo6boo44bobbo15bo11boo
9b3o15boobbo4boo45bo3bo$bbobo3boobbo41bo26bo4boo5bobbobboo18boo3b4obb
oo39bo5bo$bbo5b3o43b4o15boo5b4o8bo5bo25bo6bo30bo8bo$5bo44b3o4bobo12b3o
5bobbooboobbo70bobo7boboo3bo$5boo43bobbo20bo7boobo41b3oboo28bobo10bo$
9bo42bo18bo14b5o71bo12bobo$8bobo40boo3boo6boo6b3o6b4obo43bo$9boo3bo36b
oo3bobo4boo7bo7boboo6bo39bo$9boo3boobo33b3obbo8bo9bo4bobobb3o42bo118b
oobo7b3o$10bo3bo3bo13bo4boo17bo13boo3bo4bobboboobbo79boo78bo3bo6bo$15b
o3bo11b3obboo15boboob3o9boobbo5b3o5bo80boo78bo4bo7bo7boo$13boobbo8boo
bbobbo4bo16boo5b5obboobo178boo7bobo4boobo$12boo3bo6boobobbo3boboo10boo
4b3o6b5o5boo5b3o170bobo4b3obobboo$14bobbo5b4oboboo4bobo5boobboo10bobob
obobbo3boo119b3o62bo3boobboo6boo$16b4oboo6b3oboo3boo3boo3bobo5boboo13b
oo118bobboo57boob4oboo9boo$20bo7b5o4bo4boo5b3o18bo3bo7boo91bo16bo4bo
58b7o13bo$20boo4b4o5bobbo3boo3boobobo14bo3boboo6bobo90bobo15bobbo82boo
$bboo22boo11bobbo4bo6bo11boo3boboobb3obbo91bobo14bo85bo$bbobo42bobbo3b
o6b3obbobo3b3obboobbo93bo15b3o$bbo45b5obbo5bo8bob3obbooboo109bo84bobbo
25boo$5bo24b3o5bobo3b4o7boboo3bo6bo3boo7bo190boobo28bobo$5boo23bo6boob
oboboboo4bobbo8boobo3boboo5boo134b3o23b3o27boo4bo26bo$5boo24bobb3obobb
oo9bobo4bo5boobo5bo12boo13b3o77boo34bo25bo29bobobbo6bo21bo$4boo18b4o5b
o5bobo15bobo3booboboobobo12b4o12bo79boo5b3o25bo25bo35bo5boo18bobb3o$oo
boo15boobo5bo4bobbo3b4o16bobboboo3b3o12bobbo6b3o6bo70boo11bobo84bobbo
5bobo16boobo$o4bo10b3ob3o6bo7bobob3oboo14bo5booboo15bobo6bo6bobbo68boo
12b3o85bobo25boob3o$ob4o10bo11b3o6bobo6bo4boo35bo8bo6boboo68bobo98bobo
8boo$4boo11bo4bobobo4bo4bobboo9boo10bo4bo17boboo10boo3boboo68b3o99boo
7b4o13bo$4boo10boo3bobb3o3bobo4b3o3bo8bo7bobb3o5bo13b3o12bo3bobo69boo
10bo69bo11bo7bo5bobo16boboobo$4boo7b5obboo5bo3boo3boobobob3o8boo3boo3b
o3bob3o13bo17boboo70bobo6bobo68bobo7bobo11b3obbo12boboobobo$6bo3boboo
3bobboo5bo3boobboobboobbo10boobboo4b3obo25b3o3boo6bo78bobo68boo9boo11b
o3boo8boob3oboboo$5boo4bobbo17bobboo5boo13b3obboob3o26bobboobbob3obo
72bobo5bo19bo40boo31bobo10boo7boo$5bo6bo28bobo13b3obboo3bo27bobbobboob
o77b3o23bo39boo33boo4boo6boboo3boo$6bo36bobo15b3o3bo29boobooboobo75bo
24bobo40bo32bo6boo$35boo3bobobobo10boo8boo34bobbo74bo27boo41boo36boo5b
o$34boo3boobobboo9b5o5boo34boobbo69boboobo4bo8boo13bo40bo40bobbobbo$
36bo7bo10bo3bo3boboo108booboobo13boo10bobbo81b4obbo18b3o$38bobb3o11bo
5bob4o108bobo4bo24bobo40bobbo41bo21bo$43bo9bobobobboo5bo112boo22boobo
39boobo41boo24bo$38boob3o8b3o3bobo119bo3bo21bo39boo4bo41bo25boo$39bob
3o8bobobboobo4b3o111bo3bo64bobobbo35bo31bo$37boboobbo13b3oboo3bo186bo
34b5o$36booboo15bo9boboobo107bobbo67bobbo34bobboo25boo$39boobboo4boo6b
o9boob3o105boobo69bobo64boo$36bobo5boobboo8bo3bo3booboo107bo72bobo36b
oobbo22bobo$35boobobo3boo4bo10bo11b3o22b3o76boo73boo59booboo$35boobboo
11boo3boboo6bobo27bobbo76bo74bo39bobo17booboobo$37boobboo9boobboboobb
oo4booboo14boo10bo78bo129boo3boboo$34boo3b4o12booboo13boo11boo3bo10b3o
94boo93b3o11bobobbobbo$33bobobboo3bo5bo5boobo16bo12boboo10bobbo93boo
107bo7bo$33bobo3bo4bo3boo5boo12bo5bo14b3o13bo84bo104bobo3bo10bobbo$32b
o6boo3bo3bobobboo4bo9boo19bo8boobbobo84boo110bo7b4obo$32boo5bobo10b3o
bboo6boo3b4o18b3o3b3obbo86bob5obo99bobobo7boo$32boo18bo4bo6boobbo3boo
11boobo4boo3bob4o89bo3b4o99b3ob3obo9boo$40bobo16bo6bobo16boboo3bobo6b
oo89bo3bo99bo3b3o5bobbo6bobo$43bo4boo3bo5bo8bo10boo4boboo3b3o6bo89b3o
100bobo4boo8bo6bo$40bobo4boo3b3o4boo7bobbo6boo6bo5b3o97bob4o97boo24bo$
38boo9bo10bo18bobo4boo4bobo90bo5boo3bobo122boo$32b3obbobo11bobobo4b3o
5b3o8b3o4boobboo92b5oboobob3obb3o118boo$32bo4b3o11bobbo6boo5b3o8boo6bo
bo94bo8b3o5boo117boo27bo$33bo3boo13b3o15boo9bobo3boo3bo48b3o48boobbo
119booboo27boo$41b3o10bo3b3o26b4o22bo27bo42boboob5obboboo116bo4bo26bob
o$36b3o3boo11bo5bo7b3o11bobo28bo27bo33booboo4bo5boobboo119bob4o$38bobb
o15boobbo7boo14b4o24b3o25b3o32bob3o139boo6b3o17boboboo$33booboo19bo7b
3o17b4o52b3oboo29bobboo3boo7boo3boo120boo6bo19boobboo$32boobboobobo14b
o8bobb3o15boo16boo77boo8boo4bo120boo7bo17bobbobo$34bob3o10b3obbobbo9b
4o32boo3bo71bo3boo9bo3b3o120bo8boo$36bo4bobo5bobboo3bo7bob3o35boboo35b
o35bo3b3o3boobbo4bobo119boo7boobbo$34bo6bobo6bobo12boo40b3o27boobobb5o
36bo5bo8bo121bo7bo4bo11b3obobo$33boo7bo12bo9bobobobo35bo28boo3boboboob
o36boo3bobo9bo111bo7bo3b4o16boobbo$33bo7bo24boo41b3o25bobbo5bobo48bobb
3o111bo9boobboo9boob3o5bo$41boo8bobbo9boo36boobo4boo25bobbo55b5o113bo
12bo3boo6bo3bo3boo$39b4o7boobo9bo3bobbo31boboo3bobo25bo58bobbo126boo
11boboobobbo$38boo10bo15bo3bo25boo4boboo3b3o28bo57boo126bo6boo$38bobo
8boo12bobobbo26boo6bo5b3o18boo5bobbo5b3o50bobboo123bo6bo$49bo15b3obbo
25bobo4boo4bobo17boo3boboobboo4bo49bo4boo136b3o$40bo9bo15boobo26b3o4b
oobboo22bob4obb3o6bo48boboboo132boob4o19boo$39boo26bo28boo6bobo24boobo
bb4obboo54boobobbo129boo23boo$67bobo28bobo3boo3bo21bo3bobbo4boobo53bo
4bo130bobbo22bo$68boboo32b4o23bo3boboobbo3bo59bo158boo$69boobo27bobo
28bobob3ob3o8boobbo45bobo4b3o126bobo24bo$64boo4boo30b4o26bobbobo11boo
4bo46boobo125b3o$64bobo3bo31b4o20boo3boo3bo3bobbo6bobo52bo121bo3bobboo
26bobbo$64bo6bo31boo21boo4bo7bobb5obb4oboo170bo4bobobbo23boo$67bo3bo
60bo4bo7bo3boo5boobo167bo6boobo22bo$67boo68boo6boobbo4boo179boo19boobb
obo$137boo9boo3b4obboo174bo20bobobbo$153bo6bo176boo13bo3bobo$351boo4b
oo$156b3oboo176bobo10bobo3boo11b3o$117boo7b3o227b3o11bo$117bobo3b3obo
31bo180bobob3o7bo3bo4b3o6bo$117bo6booboo30bo188bo4boobbo5bo6bobo$120bo
3booboo30bo182bo9bo11bo4boob4o$120boo4bo216b4oboob4o11b4ob5oboo$120boo
218bo12boo12boo7boobo$119boo219bo$115booboo220bo$115bo4bo$115bob4o$
119boo18b3o19b3o19b3o19b3o19b3o19b3o19b3o19b3o19b3o19b3o$119boo20bo21b
o21bo21bo21bo21bo21bo21bo21bo21bo$119boo19bo21bo21bo21bo21bo21bo21bo
21bo21bo21bo$121bo$120boo215bo$120bo215boo$121bo208bo5bobo$329boo$329b
obo3boobobo$333bo7boo$332bo4bo5boo$332bobbobb6o3$345b3o$345bobboo56b3o
$344booboo57bo$339boo66bo$338boo4bobo62boo$340bobboboo63bo$342boo13boo
$342boo4bo7boo49boo$343bo4b3o6bobbo46boo$349boo6boobo45bobo$351boobobb
oo3bo20boo17booboo$352bobo27boo17booboobo$352bobbo4bobobo18bobo11boo3b
oboo$347bo3b3o10bo18b3o11bobobbobbo$346boo16bobo16boo12bo7bo$346bobobo
34bobo3bo10bobbo$351boo13bobo22bo7b4obo$346bobo38bobobo7boo$345boobo
10b3o6b3o18b3ob3obo$346bo7bo4bobb3o4b3o17b3o5bobbo$345bo7boo5boob5ob3o
18boo8bo$344b3o6bobo3b3o4booboo$340bobbo3boo16bobo$335b3ob3obb5o6b3o6b
obbo$335bo5bobbobo7b3o7bo$336bo3bo4bo10bobob4obbo$338boobobbo13booboo$
339bobo16b6o$339bobo$367boobo$367bo3bo$367bo4bo$369boo$371bobo$$366bo
6boo56b3o$365b5o4bobbo55bo$359boo4bo6boo58bo$359bobo11bo$359bo5boboo6b
obo$360boo4bo4bobo$360bobbo6b3o$360bo6booboo6bo$362bobobobbo7b5o$377bo
bboo$364bo4bo9boobo$365b4o$382bobo$$375b3o6b3o$370bo4bobb3o4b3o$369boo
5boob5ob3o$369bobo3b3o4booboo$381bobo$371b3o6bobbo$370b3o7bo$372bobob
4obbo$374booboo$374b6o!

I'll do another posting to explain it more.

BCNU,
-dbell

[dbell]

Here is the empty diagonal c/4 convoy which generalizes the new period multiplication reaction.

Code: Select all

#C A diagonal c/4 convoy to perform period multiplication for two rakes.
#C This accepts gliders from two input rakes and combines them to
#C produce one output glider stream.  The two input rakes's outputs
#C must be aligned with the two lone gliders shown here.  The two
#C rakes are interchangeable subject to the minimum period requirement.
#C The minimum period of the upper rake is 20 and the minimum period
#C of the lower rake is 24.  The output stream's period is the LCM of
#C the two input rake's periods.  (For example, input rakes with
#C periods 108 and 76 produce an output stream of period 2052.)  As a
#C special case, if one of the rake's period is four times a prime,
#C then this effectively period multiplies the other rakes's period
#C by that prime as long as the prime isn't a divisor of that period.
#C David I. Bell, 23 March 2024
x = 200, y = 165
38boobo7b3o$38bo3bo6bo$38bo4bo7bo7boo$40boo7bobo4boobo$42bobo4b3obobb
oo$48bo3boobboo6boo$44boob4oboo9boo$45b7o13bo$67boo$66bo$$65bobbo25boo
$62boobo28bobo$33b3o25boo4bo26bo$35bo27bobobbo6bo21bo$34bo33bo5boo18bo
bb3o$65bobbo5bobo16boobo$66bobo25boob3o$66bobo8boo$67boo7b4o13bo$67bo
5bobo16boboobo$71b3obbo12boboobobo$71bo3boo8boob3oboboo$38boo31bobo10b
oo7boo$37boo33boo4boo6boboo3boo$39bo32bo6boo$41boo36boo5bo$40bo40bobbo
bbo$81b4obbo18b3o$39bobbo41bo21bo$36boobo41boo24bo$35boo4bo41bo25boo$
37bobobbo35bo31bo$42bo34b5o$39bobbo34bobboo25boo$40bobo64boo$40bobo36b
oobbo22bobo$41boo59booboo$41bo39bobo17booboobo$97boo3boboo$83b3o11bobo
bbobbo$97bo7bo$85bobo3bo10bobbo$91bo7b4obo$87bobobo7boo$89b3ob3obo9boo
$89b3o5bobbo6bobo$90boo8bo6bo$110bo$110boo$110boo$109boo27bo$105booboo
27boo$105bo4bo26bobo$105bob4o$109boo6b3o17boboboo$109boo6bo19boobboo$
109boo7bo17bobbobo$111bo8boo$110boo7boobbo$110bo7bo4bo11b3obobo$111bo
3b4o16boobbo$113boobboo9boob3o5bo$116bo3boo6bo3bo3boo$115boo11boboobo
bbo$115bo6boo$116bo6bo$128b3o$124boob4o19boo$124boo23boo$125bobbo22bo$
153boo$125bobo24bo$120b3o$120bobboo26bobbo$121bobobbo23boo$123boobo22b
o$124boo19boobbobo$124bo20bobobbo$126boo13bo3bobo$140boo4boo$127bobo
10bobo3boo11b3o$145b3o11bo$129bobob3o7bo3bo4b3o6bo$137bo4boobbo5bo6bob
o$131bo9bo11bo4boob4o$132b4oboob4o11b4ob5oboo$142boo12boo7boobo5$3o$bb
o$bo$$126bo$125boo$119bo5bobo$118boo$118bobo3boobobo$122bo7boo$121bo4b
o5boo$121bobbobb6o3$134b3o$134bobboo56b3o$133booboo57bo$128boo66bo$
127boo4bobo62boo$129bobboboo63bo$131boo13boo$131boo4bo7boo49boo$132bo
4b3o6bobbo46boo$138boo6boobo45bobo$140boobobboo3bo20boo17booboo$141bob
o27boo17booboobo$141bobbo4bobobo18bobo11boo3boboo$136bo3b3o10bo18b3o
11bobobbobbo$135boo16bobo16boo12bo7bo$135bobobo34bobo3bo10bobbo$140boo
13bobo22bo7b4obo$135bobo38bobobo7boo$134boobo10b3o6b3o18b3ob3obo$135bo
7bo4bobb3o4b3o17b3o5bobbo$134bo7boo5boob5ob3o18boo8bo$133b3o6bobo3b3o
4booboo$129bobbo3boo16bobo$124b3ob3obb5o6b3o6bobbo$124bo5bobbobo7b3o7b
o$125bo3bo4bo10bobob4obbo$127boobobbo13booboo$128bobo16b6o$128bobo$
156boobo$156bo3bo$156bo4bo$158boo$160bobo$$155bo6boo$154b5o4bobbo$148b
oo4bo6boo$148bobo11bo$148bo5boboo6bobo$149boo4bo4bobo$149bobbo6b3o$
149bo6booboo6bo$151bobobobbo7b5o$166bobboo$153bo4bo9boobo$154b4o$171bo
bo$$164b3o6b3o$159bo4bobb3o4b3o$158boo5boob5ob3o$158bobo3b3o4booboo$
170bobo$160b3o6bobbo$159b3o7bo$161bobob4obbo$163booboo$163b6o!

Here is the rake produced by the example mentioned above.

Code: Select all

#C A diagonal c/4 period 2052 sideways rake.
#C This uses a period multiplying convoy with period 108 and 76 rakes.
#C David I. Bell, 23 March 2024
x = 610, y = 332
28boo$27boo$29bo$31boo$30bo$$29bobbo$26boobo$25boo4bo$27bobobbo$32bo$
32bo$27b3oboo$25boobo3bo$25bo4bobobo$26boo3b3o17bo10boo$32bo17b5o6boo$
8bo41bobboo8bo7boo$7boo22bo20boobo5boo6b3obo$7bobo20boo29boo3boboo$32b
o22bobo6boo$10boo18boo28b3obo4bo$10boo20bobobo20b3o3bo4bo$32boobo22bo
7bo$bo6boo22boobobbo19bo6bo$oo5bobbo21bo4bo213b3o$obo3boobo23boo26bo
189bo$4bo29bo9b3o5boo6bo183b3o6bo$3bo28bob3o7bo6boo6b3o182bo6bobo$3bo
bboo23b3o3bo7bo6bo5bo186bo4boob4o$8bo23bo3bo10boobboo5bobbo185b4ob5ob
oo$7bo3bo36bobbobobobboo188boo7boobo$7bo4boo17bobo13bo6b3o$8bo4b4o12b
3o3bo11bo3booboo$9bo4boobo7bo3boo5boo4b4o$11bo3bobbo4bobboo3bo6bobbo6b
o208bo$10boobobo6boobbo5b3ob4obo5bo210bo$13bobobo4b3obo3bob11obobo210b
obo$15boobboo7boo15bobo208boo$18boo236bobo$19bo236bo$40bo211booboo$37b
3o212bob4o$37boo13b3o197bo$51b5o$50boo3boo194boo3boo$15boo20bo5bo7bobo
boo194boobb3o$14boo9bo12boo11boo3bo195bobo$16bo6boobo13b3obbo6bo3bo
194bo$18boobboobbo17bobo9bo193bo3boo$18b4obbo19bobo6bo196bo4bo$20b3o
22bo8bobo193bo3boo$21bo26b5o197bo5boo$17b3oboobo3boobo3boo10bo3b4o198b
o$17b3obbobo3bo3boob3o14bobo196b3o$21bobbo3bo9bo10b3o201bobo$16boo4bo
7bobooboobo8bobboo202boboo$16bo9boo8boo9boobobobo200b4o$24bobo9boo10b
oo5bobboo$22b6o8boo12bo4bobboo201bo$22bobbo11bo12bo209boo$22bo28bobbo
188b3o10b3obobo$23bo173boo44bo13bobo$23bo45bobobbo121boo46bo18bo$23bo
35bo8bo7bo121bo47boo9bobb4o$58b3o6boo7bo123boo45bo10bo4bo$22b3o32boobb
o5boo130bo42bo16bo3bo$22boobbo29b3ob3o8boo5bo162b4o19boo$26bobo26boboo
boo10bobo123bobbo39bobboo17bobo12boo$23bo3bobo24booboboo11bobo3boo110b
oo5boo44bo19bo13boo3bo$23b6o24bo3b3o13b4obbo109boo5bo45bobbo16bo16bob
oo$25b3o26b3obo18bo113bo4bobo40bob6o13bobo18b3o$54b3o136boobbo40b6oboo
13bobbo17bo$193boo43bobbo18bobo20b3o$61boo134bo42boo18bobo13boobo4boo$
60bobo133bobo42bobboo5b3o5b3o14boboo3bobo$61bo134bobbobboo34bo4boo6bo
8bobo7boo4boboo3b3o$199bob3o35boboboo7bo6bo9boo6bo5b3o7bo$197boo3bobob
o12b3obb3o14boobobbo10boobboo6bobo4boo4bobo6b5o$48b3o150bobobbo12bobo
bbo17bo4bo3b3o6bo9b3o4boobboo9bobboo$48bo5boobo56bo85b3obobo6b3obbobb
3obbo20bobbo4boboobobo7boo6bobo13boobo$51b3o3bo44boo9boo85bo3b3o4bo4bo
bo4boobo9boo4bobo4bo5b4obobo9bobo3boo3bo$48bo3b3o3bo42boo3bo6bobo85bo
8boobb3o3b3oboboo3b3obobbo5boobo4boboo4bobbo14b4o15bobo$49bobo3bo47bob
oo15b3o79b10obo5bo4boobbobbobbobbo7bo15bo10bobo$50boboo19bo31b3o5bobo
4booboo80boo3bo9b3obbobo7bo24bobbo12b4o10b3o6b3o$52bobb3o14bobo10boo
18bo6boobobobo88boo4bo4bo6bobbo5boobo15boobboo3bobbo9b4o5bo4bobb3o4b3o
$42b3o3boob3o5boo11bobo10boo20b3obo6boboo68boo22bo15boobboobobobo8bo3b
obobbo3bobbo10boo5boo5boob5ob3o$42bobb4o3bobbo3boo12bo34boo7bo71boo44b
obbobb3o5boo3bo8bobbo17bobo3b3o4booboo$43boob3o59boo5boo74bo27bo13bobb
4obb3o4bobo5bobo3bo32bobo$42b3o4b3obb4o52b5o78boo23boo5boobboboo4boobo
boo14boo3bobbo11boo6b3o6bobbo$35bo14bo3bobo25boo108bo25bobobboobobobob
obbo5b4obo5booboo3bobbobobo5boboobbo5b3o7bo$34b6o12bo3boo24bobo128boo
7b3obo3boo9bo4bo4bo4b3o3bobbo6b3o5bo6bobob4obbo$34bo7boo12boo25bo107bo
bbo17b3o6bobb3o19bobobboo3b4oboo3bo6b3ob4o8booboo$35bo6bo8boo135boobo
13boboobb4obo15boo14bob3obo6bo13boo12b6o$37bobobbo8boo5bo128boo4bo10b
ooboobo13boo3bo3boo19b3oboo16b5o$38bo4bo5boboo4b3o41bo87bobobbo9bobo3b
oo4b3o5booboboobboo3b3o14boo23bo$43boo3b3o6bobo26boo12b3o91bo10bo5boob
oo3bo4bo3bo9bo12boo26bobo$43boo3bobo8boo25boo11bobboo87bobbo7bo3bob5ob
oobbobo9boo7bo7b3ob3o4b3o12b3o4boo$58boo38bobo91bobo5b4obbo3bobbobobbo
bbobo7bo9b3obbobo5boob4o11bobbo$54b3o40boo3boo88bobo4boo4bobboo11bo4b
4o12b4o10boobo11bo3bo$54bobbo40bo3bo90boo4bo19boobboo3booboo11bo3bobo
5bo15bobbo$56bo43bobo90bo37bo13boboo6boo16bobobo$55boo3boo167bobobo13b
obobobboo22bo$55boo3bobo159b3obboobobobo9bo3b3o5bo18bobbo$55b3obbo161b
o4boo3bobo9bo3bo4bobbo18b3o$60bo162bo3boo3boo9bobobobboo$57boboob3o
165b3o10bo5bobo3bo$59boo5bo159b3o3bo7booboobb4ob3o$58b3o6bo33bo124boob
obbo7bobboobobo6bo37b3o$64bobo33b3o129bo7bobo5bo4b3o63b3o$60boboo37bo
122boo5bo12bobb3o6bo34bo5bo21bobb3o$102bobo119boo3boboo11bo9bobooboo
30bo5bo22bobo$104bo7boo110bo3bobb3obb3o6bo14bo30bo5bo27bo$100boo4bo5b
oo109boobobo7bo17booboob3o60bo$105bo120bobo3boo3bo8b4o4booboo3bo11bo
18b3o29bobo$97bo7bo117bo4bo10b3o3bob4o6boob3o10b5o40boobo6bo$96bo7bo
30bo86bobboo3bo9b5o11b3oboo11bobboo21boo16boo3bobbobbo$97boboobo6boo
23bobo85b4o5bo10bo17b3o12boobo6bo13boo10b3o4bobbobbo3bo$98bo10bobo22bo
bo84boboobobb3o4boo4bo3boo15bo21bo25bo6bobbobbo3bo$110bo24bo84boo9boo
3bobo5boo11boo19bobo4bo28bo3bo6bobo$130bo89bobo3boo8bo3bo3b3o10bobbo
50bobbo8boo$129boboo86bo7bo11boobobboo5b3o3bobbo9b3o6b3o29bobbo6b3o$
129bo3boo36boo47boo6boo10bo4bo6bo4bo3bo4bo4bobb3o4b3o29bo5bo3bo$131bob
oo36bobo72bo6bobboo7boo5boob5ob3o31boboboobo$130bobbo37bo58boo3b3obb3o
3boo8boo7bobo3b3o4booboo17bobo14boo$131boo41bo52bo7bo4b3o4boo28bobo21b
5o15bo$132boo40boo45bo4b3o7bo19bobo8b3o6bobbo22b5o$174boo44boo3bobbo9b
obobo5bobo5bobo7b3o7bo26booboo10bobbo$173boo45bobobobbo11bo3bo4bobo5bo
11bobob4obbo23bo3b3o$134boo36boo51bobobbo9boboo3b3o8boo10booboo26bobo
bb3o$114b5o9b4o3boo33boobbo49bo4bobo10boo3boo8bo12b6o25bo4b3o7bo$109bo
8bo5boobooboobboo12bo18bobb3o52boo4bo13bo3bo7bobo42b4obo6boboboo$108bo
bo3bo4bo3bobboobo17boo17boo55bobbo3bo13b3o7boboobo44b3o6bo$108bobo8bo
4boo5b3o13bobo16bobo51b5o3bo15b3o6b3o57bobboobbo$109bo9bo8bo3boo27b3o
3bo52bo17bo5boo7bo4bo54bobbooboo$116bobo8bobboboo15b3o9bo6bobbo49bo4bo
bobo6b5obboo70boboo$125bo4bo17b3o11bo4bo56bo12bobboo11bo4bo45bo10boobo
$125boboo21bobo11boboo3bo49b3o5bobo7b3o10boo3boo45bo12bo$122bobb3o24b
6o5b5o53boo6boo22boboo47bo$122bo16boo11b7obobo58boo6bo22bobboo$122bo
16boo17boo3bobo5boo65b3o11boobo$162bobo5boobo52boobbo7b3o11b3o$171bo
54bo25boboobo$171bobbo51bo10boo13boo3bo$171bo3bo51bo9bo14boo3bo$171bo
bbo52boo24bo$227boo26bo$255boboo$166boobobb3o81bobbo60boo$166boboobbo
bb3o82bo59boo$166boboo6boo74boo$167bo83boo5bo$167boo84bo4boo$167boo86b
oo$147b3o9boobo3b3o7boo77boo$147bobo9bo3bobbobbo5boo146bo9bo$151bo7bo
4bo4boo5boo145bo7bo4boo$145bo3bobo9bobobbobbo3b3o147bo7bo6bo$136bo8bo
3bo11boob4o3bob3o154bo$135bobo9bo3boo8boobobo164b4o$135bobo10booboo7bo
bo6boo8boo150b3obobbo$136bo4bo4b5o9bobbobobobo9bobb3o150bo$141boobbo
19bo3b4o6bob4o151bobo$144bo4bo10boo3bo3boboobboo3bo3bobo150bo$144bo5bo
11bo11boobbo9bo$144boo3bo16boo7b4o7b3o$146bobo17boo9bo4b7obo147b3o$
182bo265boobo7b3o$183bobbo3bo160boo95bo3bo6bo$145boo39bo3bo156b6o95bo
4bo7bo7boo$144b3o39bobbo10bo144bo3bo100boo7bobo4boobo$144bobbo51boo
143bo107bobo4b3obobboo$145b3o39bobo3bo5bobo142bo4b3o106bo3boobboo6boo$
145b3o40bo3boo38bo111bo7bo101boob4oboo9boo$192bobo3boobobo27boo98bo13b
o7bo101b7o13bo$196bo7boo25bobo96b5o12bo5bo123boo$195bo4bo5boo122bobboo
17bo123bo$195bobbobb6o27boo96boobo13boo$234boo239bobbo25boo$335bobo
134boobo28bobo$194b3o28bo6boo139b3o35b3o35b3o19boo4bo26bo$194bo10boo
17boo5bobbo102b3o35bo37bo37bo21bobobbo6bo21bo$195bo8boo18bobo3boobo
104b3o33bo37bo37bo27bo5boo18bobb3o$197boo4bobo22bo106b6o134bobbo5bobo
16boobo$146boobbo47bo3boobo21bo166bo81bobo25boob3o$145boo5bo10bo38bo
24bobboo106bo54b6o77bobo8boo$146bobo3b4o6bobo35bobo29bo105bo54bo6bo76b
oo7b4o13bo$146boob4o9bobo33booboo28bo106bo55bo5bo76bo5bobo16boboobo$
146b3o4bobo7bo33bo4bo28bobo120boo42boobo79b3obbo12boboobobo$150bo46bo
4bobo127b3o3boo13booboo37boo84bo3boo8boob3oboboo$150b5o43bob3obo28bobo
96bo21boboboo14bo20bobo50boo31bobo10boo7boo$140boobobboobboobbobbo175b
obboo14bobobboboo13bo72boo33boo4boo6boboo3boo$139boo3bob3o4b4obo38boo
35bobo99booboo11b3o19bo19b4obo49bo32bo6boo$140bobbo3boo4boo41bo3bo24b
oo7boo95bo4bo16bo31boo7bo56boo36boo5bo$140bobbobboo3b3o42bobo26bobo6bo
95b4oboo19bo27boobo4boo5bobo48bo40bobbobbo$140bo9bo45bobbo20boo3bo104b
o26boo26bo3boobobbo4b3o88b4obbo18b3o$131b3o14bo4bo42b3o20boo10boobbo
95boo3bo22bo25bo3bobbo4bo3bobo45bobbo41bo21bo$131bobb4obo8bo4boo44b5o
17bo5boobbo98b6o20bobbo25bo4bobo3bo6boo41boobo41boo24bo$132b3ob4obo54b
3o17boo5boobboobbobo87boo6boo25bobo26bobbo13b3o40boo4bo41bo25boo$134b
3obbobo6boobo4bo40b7o12bobo4b3obbo92bobo3boobbo56bo3bobo10bo41bobobbo
35bo31bo$148bo5boo45boo6b3o4bo104bo5b3o56boo7bo7b3o3bo42bo34b5o$141bo
3b3o6bobbo44boo5bo5boo5boo4bobo93bo63bo5b3o7boboboboo37bobbo34bobboo
25boo$140boo3bo10bo45boo6bo6booboobobobb3o93boo69bobbo5b3oboboo38bobo
64boo$146bo8boo41b3obbo8bo3bo3b3obbobbo167b3obo4bob3o40bobo36boobbo22b
obo$152boo35b3o5bo4bo4boobb3o3bobboo4bo128boobbo37boob3o4bobo41boo59b
ooboo$151boo36bo5bo10boo3bobobb3o6bo128boo43booboo3boo42bo39bobo17boob
oobo$153bobo34bo3boo4bo7boo3bobo140booboobo38boo4bobboob3o91boo3boboo$
153boo3bo33boo7bo6booboboo143bobobbo39b4obobbo77bo3b3o11bobobbobbo$
153bo3boo34b3o3boob3o3bobbo3boboo138bob5o37b3obobob3o3bo71bobo17bo7bo$
153bo3bobo33bo3b4ob4obboo4b4o138boob3o38bobboo3bo79boo5bobo3bo10bobbo$
153bo40bobo5b5ob3o6bo138boo43boo3bobo4bo87bo7b4obo$157b5o31bo3bo10b3ob
o6bo136bobbo41boo3b3o88bobobo7boo$154booboobb3o26bo3bobob3o3boobboobo
bb3o3bo12bo113bo7booboboo137b3ob3obo9boo$162bo26bobo3b3o3bobo3bo3bo6bo
13boo112boo6bo3boo3bo42bo3bo88b3o5bobbo6bobo$156bo3boboboo14bo8bobo5b
oobobbo3bo3bobb3o4boo9bobo111bobobb4oboo5bo42bo93boo8bo6bo$157bo21boo
9bo8boo6b5o3bobboo3bo124bob3o3bo5bobbo40bobo111bo$158boboo11bo5bobo17b
o7bobboboo17boobobobo8bo7bo93bo4boo164boo$172boo38boo7boboob3obo5boboo
6boo5boobo89boboboobobo7b4o153boo$172bobo3boobobo24bo12boo3bo3bo9bo5bo
bo3boobbo91b4obbo164boo27bo$176bo7boo23b3o3boo4bo5b3obo4bobo11boobbo
95boobbo9b5o146booboo27boo$175bo4bo5boo27b3obbo6bobobbooboobboo7b5o95b
obo6bo9b3oboo142bo4bo26bobo$175bobbobb6o30b4o6booboo3bo6boboob3o99boo
4boobbo7bobobobo141bob4o$216bo8bo3bobobbo4bo3boboboo110bobo4bo152boo6b
3o17boboboo$219bo5bobbo10bo3boboo110bobobo4boo151boo6bo19boobboo$188b
3o36bo131bobobbooboob3o146boo7bo17bobbobo$188bobboo56b3o109b3oboobo6bo
145bo8boo$187booboo57bo111boo3boobo3bob3o142boo7boobbo$182boo66bo111b
oo4bobo3bo145bo7bo4bo11b3obobo$181boo4bobo62boo112bobbobboo147bo3b4o
16boobbo$183bobboboo63bo108boobbo6bo149boobboo9boob3o5bo$185boo13boo
160bo3bo3bo155bo3boo6bo3bo3boo$185boo4bo7boo49boo111bo4boboo144bo8boo
11boboobobbo$186bo4b3o6bobbo46boo117bo146bo8bo6boo$192boo6boobo45bobo
115boo147bo9bo6bo$194boobobboo3bo20boo17booboo118bo169b3o$195bobo27boo
17booboobo117bo165boob4o19boo$195bobbo4bobobo18bobo11boo3boboo285boo
23boo$190bo3b3o10bo18b3o11bobobbobbo286bobbo22bo$189boo16bobo16boo12bo
7bo314boo$189bobobo34bobo3bo10bobbo286bobo24bo$194boo13bobo22bo7b4obo
282b3o$189bobo27boo9bobobo7boo286bobboo26bobbo$188boobo10b3o6b3o3bobbo
11b3ob3obo290bobobbo23boo$189bo7bo4bobb3o4b3obbobbo11b3o5bobbo289boobo
22bo$188bo7boo5boob5ob3obbobo13boo8bo290boo19boobbobo$187b3o6bobo3b3o
4booboo320bo20bobobbo$183bobbo3boo16bobo325boo13bo3bobo$178b3ob3obb5o
6b3o6bobbo339boo4boo$178bo5bobbobo7b3o7bo329bobo10bobo3boo11b3o$179bo
3bo4bo10bobob4obbo345b3o11bo$181boobobbo13booboo329bo3bobob3o7bo3bo4b
3o6bo$182bobo16b6o328bo11bo4boobbo5bo6bobo$182bobo350bo5bo9bo11bo4boob
4o$210boobo328b4oboob4o11b4ob5oboo$210bo3bo337boo12boo7boobo$210bo4bo$
212boo$214bobo$$209bo6boo48b3o51b3o51b3o51b3o51b3o51b3o$208b5o4bobbo
47bo53bo53bo53bo53bo53bo$202boo4bo6boo50bo53bo53bo53bo53bo53bo$202bobo
11bo$202bo5boboo6bobo315bo$203boo4bo4bobo318boo$203bobbo6b3o313bo5bobo
$203bo6booboo6bo306boo$205bobobobbo7b5o303bobo3boobobo$220bobboo307bo
7boo$207bo4bo9boobo305bo4bo5boo$208b4o319bobbobb6o$225bobo$$218b3o6b3o
314b3o$213bo4bobb3o4b3o313bobboo56b3o$212boo5boob5ob3o312booboo57bo$
212bobo3b3o4booboo308boo66bo$224bobo310boo4bobo62boo$214b3o6bobbo312bo
bboboo63bo$213b3o7bo317boo13boo$215bobob4obbo315boo4bo7boo49boo$217boo
boo320bo4b3o6bobbo46boo$217b6o325boo6boobo45bobo$550boobobboo3bo20boo
17booboo$551bobo27boo17booboobo$551bobbo4bobobo18bobo11boo3boboo$546bo
3b3o10bo18b3o11bobobbobbo$545boo16bobo16boo12bo7bo$545bobobo34bobo3bo
10bobbo$550boo13bobo22bo7b4obo$545bobo38bobobo7boo$544boobo10b3o6b3o
18b3ob3obo$545bo7bo4bobb3o4b3o17b3o5bobbo$544bo7boo5boob5ob3o18boo8bo$
543b3o6bobo3b3o4booboo$539bobbo3boo16bobo$534b3ob3obb5o6b3o6bobbo$534b
o5bobbobo7b3o7bo$535bo3bo4bo10bobob4obbo$537boobobbo13booboo$538bobo
16b6o$538bobo$566boobo$566bo3bo$566bo4bo$568boo$570bobo$$565bo6boo32b
3o$564b5o4bobbo31bo$558boo4bo6boo34bo$558bobo11bo$558bo5boboo6bobo$
559boo4bo4bobo$559bobbo6b3o$559bo6booboo6bo$561bobobobbo7b5o$576bobboo
$563bo4bo9boobo$564b4o$581bobo$$574b3o6b3o$569bo4bobb3o4b3o$568boo5boo
b5ob3o$568bobo3b3o4booboo$580bobo$570b3o6bobbo$569b3o7bo$571bobob4obbo
$573booboo$573b6o!

BCNU,
-dbell

[C_R_116]

The longest 2c/7 partial I've ever ran:

Code: Select all

x = 42, y = 109, rule = B3/S23
bo12bo12bo12bo$bo12bo12bo12bo$obo10bobo10bobo10bobo$bo12bo12bo12bo$bo
12bo12bo12bo$2bo3b4o3bo14bo3b4o3bo$6b4o22b4o$2b4o4b4o14b4o4b4o2$4bo6bo
3b2o8b2o3bo6bo$5b2o2b2o5b2o6b2o5b2o2b2o$15b3o6b3o2$15bobo6bobo$15bo2bo
4bo2bo$16b3o4b3o$13bo4bo4bo4bo$13b5o6b5o$18bo4bo$14b3obo4bob3o$13bo14b
o$15bob2o4b2obo$14bo12bo$15b3o6b3o$16b3o4b3o$18bo4bo$17bo6bo$16bo8bo$
14bo4bo2bo4bo$13b2o12b2o$13b3obo6bob3o3$12b5o8b5o$12b5o8b5o3$13b3o10b
3o$13b3o10b3o$14b3o8b3o2$14b2o10b2o$15b2o8b2o$14bo12bo$13bo3bo6bo3bo$
13bo14bo$13bo3b2ob2ob2o3bo$15bobobo2bobobo$14b2obob4obob2o$14b2obo6bob
2o$15bo2bo4bo2bo$16b2o6b2o$16bob6obo$17b2ob2ob2o$17bo2b2o2bo2$17bob4ob
o$17bob4obo2$19bo2bo$17b2ob2ob2o$18bo4bo$16b2o6b2o$14bo2b2o4b2o2bo$14b
o3b2o2b2o3bo$13b2obobob2obobob2o$12b2o4b2o2b2o4b2o2$16b2o6b2o$15bobo2b
2o2bobo$15bo2bob2obo2bo$15bob2o4b2obo$17b2o4b2o$12b3o2bo6bo2b3o$13b2o
2b3o2b3o2b2o$15b2o2bo2bo2b2o$16b3o4b3o2$18b6o$18bo4bo$14b2o3bo2bo3b2o$
14b3o3b2o3b3o$14bo12bo$15bob2o4b2obo$11b3obob2o4b2obob3o$13b2o12b2o$
14b4o6b4o$16b3o4b3o$12bo2b2o8b2o2bo$12bo3bo8bo3bo$12b2o2bo8bo2b2o$13b
4o2bo2bo2b4o$19bo2bo$14bo3bo4bo3bo$13bo14bo$13b2ob2o6b2ob2o$11bo6bo4bo
6bo$17b2o4b2o$11bo2bo12bo2bo$11bobobo2bo4bo2bobobo$10b2obobo4b2o4bobob
2o$13b3o2b2o2b2o2b3o$10bo2b6o4b6o2bo$10bo2b3o4b2o4b3o2bo$12b2ob2o2bo2b
o2b2ob2o$13bo4b2o2b2o4bo$11bobo2b3o4b3o2bobo$11b3o14b3o$11b3o3bo6bo3b
3o!

It looks completable from the bottom region:

Code: Select all

x = 42, y = 40, rule = B3/S23
bo12bo12bo12bo$bo12bo12bo12bo$obo10bobo10bobo10bobo$bo12bo12bo12bo$bo
12bo12bo12bo$2bo3b4o3bo14bo3b4o3bo$6b4o22b4o$2b4o4b4o14b4o4b4o2$4bo6b
o3b2o8b2o3bo6bo$5b2o2b2o5b2o6b2o5b2o2b2o$15b3o6b3o2$15bobo6bobo$15bo2b
o4bo2bo$16b3o4b3o$13bo4bo4bo4bo$13b5o6b5o$18bo4bo$14b3obo4bob3o$13bo14b
o$15bob2o4b2obo$14bo12bo$15b3o6b3o$16b3o4b3o$18bo4bo$17bo6bo$16bo8bo$
14bo4bo2bo4bo$13b2o12b2o$13b3obo6bob3o3$12b5o8b5o$12b5o8b5o3$13b3o10b
3o$13b3o10b3o$14b3o8b3o!

[dbell]

Here is another result using the diagonal c/4 backward glider perturbing reaction.

Code: Select all

#C A diagonal c/4 convoy converts backwards gliders to sideways gliders.
#C The minimum repeat time of this reaction is 40 generations.
#C David I. Bell, 23 March 2024
x = 98, y = 124
bo$bbo$3o38$41bo$42bo$40b3o14$45bo$44boo$38bo5bobo$37boo$37bobo3boobob
o12bo$41bo7boo11bo$40bo4bo5boo7b3o$40bobbobb6o$88b3o$88bobb3o$53b3o33b
obo$53bobboo36bo$52booboo35bo$47boo45bobo$46boo4bobo32boobo6bo$48bobbo
boo31boo3bobbobbo$50boo13boo13b3o4bobbobbo3bo$50boo4bo7boo14bo6bobbobb
o3bo$51bo4b3o6bobbo14bo3bo6bobo$57boo6boobo11bobbo8boo$59boobobboo3bo
10bobbo6b3o$60bobo19bo5bo3bo$60bobbo4bobobo11boboboobo$55bo3b3o10bo13b
oo$54boo16bobo15bo$54bobobo$59boo13bobo10bobbo$54bobo$53boobo19b3o$54b
o22b3o$53bo20b6o$52b3o$48bobbo3boo20bo$43b3ob3obb5o20bo$43bo5bobbobo
22bo$44bo3bo4bo$46boobobbo18b3o3boo$47bobo21bo$47bobo22bobboo$75booboo
$70bo4bo$69b4oboo$69bo$70boo3bo$69b6o$60boo6boo$60bobo3boobbo$60bo5b3o
$63bo$63boo17boo$81boo3bo$83boboo$85b3o$85bo$87b3o$80boobo4boo$80boboo
3bobo$74boo4boboo3b3o$73boo6bo5b3o$74bobo4boo4bobo$74b3o4boobboo$74boo
6bobo$76bobo3boo3bo$82b4o$78bobo$80b4o$80b4o$81boo!

This is now the smallest backwards to sideways glider turner.

The reaction also creates a cloud of smoke with lots of perturbation possibilities.

PS: After finding this, I realized that one of the large edge-spark spaceships in my recent glider turner convoy could be replaced with the smaller spaceship, but that doesn't matter since this new turner is better anyway.

Edit:

One of the perturbations of the smoke produces a forwards facing ship. This is nice because we can animate it easily, and it avoids using any loaf or beehive conversions or large edge-repair spaceships. This is still comparable in size to the previous full animation convoy, but has a smaller population.

Code: Select all

#C A diagonal c/4 convoy to create a delayed animation reaction.
#C This uses one convoy to convert a backwards glider into a forward
#C facing ship, and a second convoy to later convert the ship into a
#C sideways glider.  The complete convoy can be flipped over along
#C the glider's path to create the ship in a position differing by a
#C half-diagonal.  The ship-to-glider convoy can be flipped over to
#C emit the glider in the other sideways direction.  The glider's path
#C and timing can be changed by shifting and advancing the convoys.
#C The minimum repeat time of this reaction is 40 generations.
#C David I. Bell, 23 March 2024
x = 144, y = 156
8bo$9bo$7b3o10$8bo$7boo$bo5bobo$oo$obo3boobobo$4bo7boo$3bo4bo5boo$3bo
bbobb6o$28bo22b3o$29bo21bobb3o$16b3o8b3o22bobo$16bobboo36bo$15booboo
35bo$10boo45bobo$9boo4bobo32boobo6bo$11bobboboo31boo3bobbobbo$13boo13b
oo13b3o4bobbobbo3bo$13boo4bo7boo14bo6bobbobbo3bo$14bo4b3o6bobbo14bo3bo
6bobo9boo$20boo6boobo11bobbo8boo11boo$22boobobboo3bo10bobbo6b3o5boo5bo
$23bobo19bo5bo3bo5boo5boo$23bobbo4bobobo11boboboobo8bo4bobobboo$18bo3b
3o10bo13boo14boo3boob4o$17boo16bobo15bo11boo10bo$17bobobo55bo$22boo13b
obo10bobbo17bo$17bobo53boo$16boobo19b3o$17bo22b3o$16bo20b6o$15b3o$11bo
bbo3boo20bo$6b3ob3obb5o20bo$6bo5bobbobo22bo$7bo3bo4bo73boo$9boobobbo
18b3o3boo47boo$10bobo21bo56bo$10bobo22bobboo53boo$38booboo49bo$33bo4bo
$32b4oboo52bobbo$32bo57boo$33boo3bo50bo$32b6o28boo17boobbobo$23boo6boo
33bobo16bobobbo$23bobo3boobbo32bo14bo3bobo$23bo5b3o35boo11boo4boo$26bo
40bobbo9bobo3boo$26boo17boo20bo17b3o$44boo3bo19bobob3o7bo3bo$46boboo
27bo4boobbo$48b3o20bo9bo$48bo23b4oboob4o$50b3o29boo$43boobo4boo$43bob
oo3bobo$37boo4boboo3b3o$36boo6bo5b3o$37bobo4boo4bobo$37b3o4boobboo$37b
oo6bobo$39bobo3boo3bo$45b4o$41bobo$43b4o$43b4o$44boo7$69boo$69bobo$62b
oo5bo$62bobo3boobbo$62bo11bo$65bo3boo3b3o$65boo4boo4bo$71b7o$72b4o$79b
o$78b4o58bo$82bo56boo$77b6o56bobo$71b3o3boboo$71bo5bobo62boo$72bobboob
oo62boo$74bo14b3o$77bo3bo7bo50boo$75boo4bobo8bo46bobbo$81bo7bo4bo43boo
bo$83b3o4b3o22b3o16b3o$85boboo5bobo18bo18bo$87bo8bo21bo11boo3bo$79boo
3b3o10bo17bobbo10boo5boboo$79bobobboo12bo17bobbo11bo5b3o$79bo4bo13bobo
16bo15bob4o$82bobo34bobobboo6bobboo$78boo13bo6boo19boobobbo3boo$78boo
12b5o4bobbo22bobob3o$79boo5boo4bo6boo26bobo$77bo8bobo11bo21bobo$77b4o
5bo5boboo6bobo$69bobb3obo4bo5boo4bo4bobo$68boobbob4o3bo5bobbo6b3o$68bo
bobobobbo9bo6booboo$72b3obboo10bobobobbo$71boobo$72boboo15bo4bo$92b4o$
100boo$99boo3bo$101boboo$103b3o$103bo$105b3o$98boobo4boo$98boboo3bobo$
92boo4boboo3b3o$91boo6bo5b3o$92bobo4boo4bobo$92b3o4boobboo$92boo6bobo$
94bobo3boo3bo4boobo$100b4o6bo3bo$96bobo11bo4bo$98b4o10boo$98b4o12bobo$
99boo$109bo6boo$108b5o4bobbo$102boo4bo6boo$102bobo11bo$102bo5boboo6bob
o$103boo4bo4bobo$103bobbo6b3o$103bo6booboo$105bobobobbo$$107bo4bo$108b
4o!

Edit 2:

The glider turner convoy can be reduced in size slightly without affecting the population or minimum repeat time. However, it does reduce the amount of smoke produced so that the ship creating convoy can't use it.

Code: Select all

#C A diagonal c/4 convoy converts backward gliders to sideways gliders.
#C The minimum repeat time of this reaction is 40 generations.
#C This is a slightly packed version of a previous convoy.
#C David I. Bell, 25 March 2024
x = 96, y = 116
bo$bbo$3o38$41bo$42bo$40b3o12$43bo$42boo$36bo5bobo$35boo$35bobo3boobob
o$39bo7boo$38bo4bo5boo10bo$38bobbobb6o12bo$60b3o23b3o$86bobb3o$51b3o
33bobo$51bobboo36bo$50booboo35bo$45boo45bobo$44boo4bobo32boobo6bo$46bo
bboboo31boo3bobbobbo$48boo13boo13b3o4bobbobbo3bo$48boo4bo7boo14bo6bobb
obbo3bo$49bo4b3o6bobbo14bo3bo6bobo$55boo6boobo11bobbo8boo$57boobobboo
3bo10bobbo6b3o$58bobo19bo5bo3bo$58bobbo4bobobo11boboboobo$53bo3b3o10bo
13boo$52boo16bobo15bo$52bobobo$57boo13bobo10bobbo$52bobo$51boobo19b3o$
52bo22b3o$51bo20b6o$50b3o$46bobbo3boo20bo$41b3ob3obb5o20bo$41bo5bobbob
o22bo$42bo3bo4bo$44boobobbo18b3o3boo$45bobo21bo$45bobo22bobboo$73boob
oo$68bo4bo$67b4oboo$67bo$68boo3bobb3o$67b6o3bobb3o$58boo6boo9bobo$58bo
bo3boobbo13bo$58bo5b3o13bo$61bo20bobo$61boo12boobo6bo$74boo3bobbobbo$
68b3o4bobbobbo3bo$68bo6bobbobbo3bo$71bo3bo6bobo$68bobbo8boo$69bobbo6b
3o$70bo5bo3bo$72boboboobo$74boo$78bo$$75bobbo!

BCNU,
-dbell

[amling]

I got something like the second solved but it's not clear if it will actually be useful as the branches on that back (east) side are pretty big and possibly in the way.

Wow, that's some crazy branching! However, I think it will be useful. The following high-period chaotic puffer seems to have a base period of 76 = 19*4 (full period 304 = 76*4).

...

The above p76 reaction would not have worked with the higher-clearance partial I gave, but I hope you still complete that with one an emphasis on good clearance for placing sparkers on the east/northeast side of the engine.

Here it is the first solved more or less as it was near the back (the crazy branches are all far away from where any sparkers would go), pictured with the p24 block puffer orbit:

Code: Select all

#C [[ TRACK -1/4 -1/4 ]]
x = 103, y = 74, rule = B3/S23
96b2o$96bobo$96bobo$60b2o2bo32b3o$59b2o4bo31bobo$60bobo34b3o$55b2o2b5o
b2o30b2o$54b2o2b3o5b2obo28bo$49b2o4bobob2o3b2o26bo4b3o$49bobo3b2o2bo3b
4o2b2o20b5o6bo$49bo6bob3o2bo6bo20bo6b2ob2o$52bo6b2o$52b2o12b3ob2o19bob
2o$83b2ob2o4bo$69bo9bo3bob3o$69bo3b3o2b2o3bo2b2o3b2o$69bo3bo4bobo9b2o$
76bobo7bo4b2o$71bo3bo2b4ob2o6b3o$70b2o3bo2bo4bo7bo$75bo10b2o4b2o$60b2o
5bo3b2obo10bo$59b2obo3b2o6bo$47b2o2bo8bo5bobo2b3o$46b2o4bo7bo2bo6b2o3b
o$47bobo10bo3bo5bo5bo$42b2o2b5ob2o6bo2bo5bobo3bo$41b2o2b3o5b2obo10b2o
2bo$36b2o4bobob2o3b2o9bo4bo3b2o$2b2o32bobo3b2o2bo3b4o2b2o3b2o4b4o$2bob
o31bo6bob3o2bo6bo7bo7b2o$2bo36bo6b2o16b2o$5bo33b2o12b3ob2o$5b2o59b3o$
5b2o49bo8b4o$4b2o18b4o27bo8bo$2ob2o15b2obo5bo20b2o2bo8b2obo$o4bo10b3ob
3o6bo20bobobo2bo6b2o$ob4o10bo11b3o19bo3bo9b2o2b3o$4b2o11bo4bobobo4bo
25bo6b4o3bo$4b2o10b2o3bo2b3o3bobo22b3o5bob2o$4b2o7b5o2b2o5bo3b2o3bo19b
o7bob2o2bo$6bo3bob2o3bo2b2o5bo3b2o3b2obo15b2o9bobo$5b2o4bo2bo17bo3bo3b
o12bob2o3bo$5bo6bo24bo3bo8bob2o6b2o2b2o3b3o$6bo28b2o2bo6b6o2b4obo3bobo
3b3o$34b2o3bo10bo16bobo$36bo2bo5b2ob2obobob2o9b2o$38b4ob2o2bo5bo3b9o$
42bo$42b2o2$61b3obo$61b2obo$63bo$67b2o$67b2o4$67b2o$67b2o5$73b2o$73b2o
5$79b2o$79b2o!

[C_R_116]

There must be something that can make this p20 HWSS rake:

Code: Select all

x = 198, y = 190, rule = B3/S23
26bo$25b2o$25bobo59b4o6b2o$83b2obo5bo4bobo$28b2o49b3ob3o6bo4bo$28b2o49b
o11b3o6bo$68bo11bo4bobobo4bo5b2o$19bo6b2o3b2o34b5o7b2o3bo2b3o3bobo4b2o
$18b2o5bo2bobo3bo32bo2b2o4b5o2b2o5bo3b2o3b2o$18bobo3b2obo3bo2bo34b2ob
ob2o4bo2b2o5bo3b2o2b2o$22bo9b2o25bo17bo17bo2b2o$21bo14b2o20b2o4b2o6bo
$21bo2bo8bob2obo19bobo2b2o2b3o2bo3bo$32b3obo26bobob3o2bo3bo$32b2obo25b
2o2bo2bobo2bobo$34bob2obo10bo5bo3bo2bo3bo3b2o2bo$37bob2o8b2o4b2o3bobo
2bo2bob6o8b2o2bo$34b4ob2o8bobo3bob3o4b2o17b2o4bo$39bo17b2obo8bo4bo2bo
6bobo$39bobo10bo2bo9bo11b5o2b4ob2o$39bobo9b4o3bobo18bo3b2o5b2obo$38b3o
9b2o9b3o15b2o2bo4b2o$37b3o4bo4b2o5bo2bo2b2o18b2o3b4o2b2o$38b2o3b4o8bo
5bo25bo6bo$35b2ob2o3bo2b2ob2o2bo$35b2ob2o5b2obo41b3ob2o$8b2o3b3o22bo10b
5o$7b2o4bo21bo2bo5b4obo43bo$b2o5bo6bo27bob2o6bo39bo$2o5b2o3bobo19b6o3b
obo2b3o42bo$2bo4bobo2bo21b3o6bo2bob2o2bo$4b2o3b2ob3o3b4o8bo2bo2bob2o3b
3o5bo$4b2o16bob2o3bobo2bobo$14bob2ob2o3b3ob2o4bobob2o3b3o$10bo3bo11b2o
bobobobob3o$12bo9b3o4b2o7b3o14b2o$23bobo3bo5bo2b3o13b2o$23b3o3b2o3b3o
b3o14bo$34b2o2b3o11b3obo$38b3o10b2o3bo5bo$38b3o11bo8b2o4bo$35b2o2b2o11b
ob4o3bobo2b2o$35b2ob2o12bo13bobo10bo$34bo3b2o12bo5b2obobo7b2o5b5o$37b
o14bobo4b4o6bob2ob2o2bob2obo$27b3o4bob2o10bo4bo3b5o5bo3bobo7bobo$27bo
6bo2b3o6b2o9b2o7b2o4bo2b2o$28bo18b2o4b4obo5bo2bob3o3b2o$30b2ob2o2b3o13b
2o6bob3o3bo2b5o$31bobo20b2o4bo7b7o3bo$17bo14bo23bo2b2o10bo6bo$16b2o14b
o23bo2bo5b2o2b2o$16bobo9b2o2bo23b2obobobo$27b2o28bo3bo$18b3o8bobobo18b
2o4bobo2bo2b3o$17b3o12bo15bo2b2o8bobo2bo$19bobo10bobo11b2o5bo2b2o2b2o
5bo10bo$21b3o23b2o6b2ob2o17b2o$21b3o6bo24b2ob2o2b2obobob2o6bobo$24bo4b
2o2bo22bo5bob3o4bo6b2o4b2o6b2o$21bo2bo3b2o2bo23bo4b2obo15bo2b2o4b2obo
$20bo3bo10bo21b2o8bo2b2o2bo2bo2bo3bobo2b2o12b2o$16b2ob2o3bo4b2o3b2o25b
2o10b4o7b3o2b2o11b2o$15b2o7bo9bobo24b3obo3bo6bobo3bob3o9b2o5bo$17bob2o
2bo44b2o6bo2b4o12b2o5b2o18b2o$23bo12b3o9bo13bo2b4o9bob2o15bo4bobo2b2o
12b2o61bobo$20bobo12b3o8b2o14b2o20bo14b2o3b2ob4o12bo59bo9b3o$21bo15bo
bo7b2o35bo14b2o10bo13b2o49b2ob3obo2b2o5bo$20bo18b3o69bo12bo51bo3bobo2b
ob2o5bo$19bobo17b3o63bo70bob2ob2obo2b4o5b2o$19bobo20bo6bo9bo9bo9bo9bo
9bo7b2o14bo2bo37b2o11b3o6bo4bo5bo$18bo20bo2bo6b2o8b2o8b2o8b2o8b2o8b2o
14b2o5b2o2bob2o33b2o3bo5b2ob3obo6bobobo$18b2o18bo3bo5bobo7bobo7bobo7b
obo7bobo7bobo13b2o5bo5bo2bo34bob2o3bob2ob2o5b2obo3b4o$18b2o14b2ob2o3b
o73bo4bobo7bo35b3ob2obo6bo9bobob2o$33b2o7bo75b2o2bo10bo21b2o4bo4b2o24b
o$35bob2o2bo76b2o8bo3b2o20b2o4b2o3bob2obo$41bo6bobo78bo26bo3bob2ob2o3b
2o$38bobo8b2o78b2o2b2o23bobo5bo6bo$39bo9bo80b2o25b2o3b3ob2o2bo3bo$38b
o91b6o10b2o4b2o2b2o5b2obo14bo$37bobo90bo4bo9b2o4b2o7bo4bobob2o9b2o$37b
obo91bo2bo12bo5bo2b5o5b5ob2o6bob5o$36bo95bo3bo16b3o5b2o4b2o4bo2b2o5bo
4bo$36b2o97b3o10b2obo2b2o20bo2bo2bo5bo$36b2o97bo11b2o2bo3b2ob2o15bo2b
2o10bo$146bob4o4bo3bo16bo6b2ob2o2bo$58bobo72b2o5b2o2bob2o8b2o2bo22b2o
2b2o3bo$59b2o71b3o4b2o3bo40bobo$59bo74bo6b2o3bo40bo2bobo$105bo4b2o19b
o9b2ob2o2b2o37b2o3bo$104b2o4bobo19b3o6bobo4bobo37b3o$98bo5bobo2bo2bo19b
o7b2o3bo42bo$97b2o10b2o24bo3b2o3bo2b2o41bo$97bobo3b2obo2bo20b2o3bo7bo
bob2o41bo$101bo9bo4bobo11b2o2bo8b4o$100bo4bo3bo2bo2b2obo7bo2b2obo6b6o
$68bobo29bo2bo2b8o3bob4o2b3o5b2o5bobo$69b2o41bo7b2obo2bo2bo3b2o$69bo41b
o7bo3b3o7b2o17bo$120b2o3bo4bo3bo16b2o$119bo5bobo3bob2o4bo11bobo$122bo
3bo4bob2o3b3o8bobo$121bo10b3o4bobo6b4obo$133b2o5b3o5bo2b3o4b2o$134bo3b
o2bo7bo2bo4b2o4b2o$132b3o2b4o9bobo2bob3o2b2o$78bobo50bo2bo2b3o7bo2bob
o2bob2o5bo3b2o5b2o$79b2o50bo18bo5b2o10b3o3b2o3bo$79bo44b2o5bo2bo13b3o
3bo9bobo4bo2bobob2o$124bobo4bo3bo13b3obo9bobo2b3o2b2o$124bo9bo14b2obo
bo5bobo6b6o$127bob2o2bobo16b3o5bo3b2ob2o5bo$127b2o3bo10bobo4bo2b2ob2o
bo2bo10b3o$143b2o6b3o2bobob3o2b2o6b2o$113b2o29bo8bobo2bo6bo$112b2o11b
ob2obo21bo2b3o$88bobo22bobo8b4o2bo26bo$89b2o22b3o8bo3bo20bo3b3o2b2o3b
2o$89bo23b2o14b2o17b2o3b2obob2o3bobo$115bobo10b3o17bobo3bo8bo$129bo22b
3obo17b2o$117bobo32b2o19b2obo$119b3o4b3o14bobo12b3ob3obo7bo6bo7bo$119b
o5bo2bo14b2o9bo3bo2bobo2b2o6bo2bo2b2o5b2obo$118bo5b2o18bo8b2o4b2obo4b
2o5b2obo2bobo3b2o2bo$113bob2obo4bobobo30bob2o5b5o2bo9b2o2bo$98bobo11b
2ob2obo41b2o4bo6b2o7b5o$99b2o11bobo4bo37b2obo4b3o2b2o2bobob2ob3o$99bo
17b2o39bo3b2o3bo8bo2bob2o$117bo3bo36bo7bo12b2o$116bo3bo38b2o2bo2$116b
o2bo23bobo$115b2obo24b2o$115bo28bo$114b2o$108bobo3bo$109b2o4bo$109bo4$
143bobo$143b2o$144bo2$118bobo$119b2o$119bo4$143bobo$143b2o$144bo2$128b
obo$129b2o$129bo4$143bobo$143b2o$144bo2$138bobo$139b2o$139bo3$134b2o$
133b2o3bo$135bob2o$137b3o$137bo7b2ob2o$139b3o3bo3bo$132b2obo4b2o7bo$132b
ob2o3bobo3b2obo$126b2o4bob2o3b3o5bo$125b2o6bo5b3o$126bobo4b2o4bobo5b2o
$126b3o4b2o2b2o8b3o$126b2o6bobo11b2o$128bobo3b2o3bo$134b4o$130bobo$132b
4o$132b4o$133b2o!

[dbell]

Here are a few diagonal c/4 results based on perturbing low period backwards rakes.

This is a smaller rake than the previous ones.

Code: Select all

#C A diagonal c/4 period 48 sideways rake.
#C This uses a period 12 backwards rake whose gliders are perturbed
#C using sparking and eater spaceships.
#C David I. Bell, 25 March 2024
x = 165, y = 168
55boo40bo$54boo3bo36boo$56boboo36bobo$58b3o$58bo40boo$60b3o36boo$61boo
$61boo34boo$61boo33bobbo$61boo32boobo$61boo28b3o$62boo27bo$56boo5bo23b
oo3bo$56bobobbo24boo5boboo$56bo3bo27bo5b3o$59boobboo25bob4o$63bobo12bo
bboo6bobboo$60bo17boobobbo3boo$60bobo11b3o7bobob3o$60b3o4b3o3b3o8bobo$
67bobboobo4bobbo$60bo13bo3bo$60bobo5bo4b5oboo$61boo4bobo4boboo15b3o5b
3o$62boboboo9bo15bo5booboo$66bo10bo18bobo$64bo13boo17boboo$64bo23boobb
obobo$61b4o18boobbooboboobo$61bo20boo5boobo$62bobo5boo12bo$64b3obboo3b
o5bo5bo$47b3o14bobo3boboobo3b4obboobo$47bo16bo5b3ob3obbo5bobbo$50b5o
16bo4bo4bo3bo$42b3obo3boob3o8bobboo5b4o3booboo$42bobbo4boo3bo10b3o3bo
4boo4bo$37boo6bo5bo3b4o7bo3b3obb3o$3boo31boo5bo7bobbobboo12b3o5boo$bb
oo34bo4b4o4bobo3boo5boo3boo4b6o$4bo35boo4bobo6bob3o4boo7bo4boo$6boo32b
oo13bo8boobboo3boobo$5bo49b4o6bob3obboboo63boo$26boo70b3o38bobo$4bobbo
17b3o28bo10boo21b3o5booboo36bo$boobo13boboobb4obo21boob3o19bo13bo7bobb
3o38bo$oo4bo10booboobo26boo3boo4b3o3bo7boo14bobb4o3boobbo37bo$bbobobbo
9bobo3boo4b3o20bobo6bobboo9bobo16bo7bobbo30bo3bobobo$7bo10bo5booboo3bo
23bobo3bobbobbo13b3obobobbobb3o38boobb3o$4bobbo7bo3bob5oboobbobo22bobo
5b5o9boobboobboobb3obbo6bo32boboobo$5bobo5b4obbo3bobbobobbobbobboo28bo
bo8boobbobobbobobbo3bo4b5o26boobobbo$5bobo4boo4bobboo11bob3o16bobbo20b
obobbo3booboo8bobo4boo19bobobb3obo$6boo4bo19boo3bobobo11booboo3boobboo
bo10b4obo4b3o16bobo3b3o9boobo4bo$6bo29bobobbo6booboboo3bob3o4bo7bo3bo
bb3o4bobo4bo11bo5bo11boobb4o$35b3obobo6boo3b5o3bo4bo6boboobobo14boo19b
o5boobbo$35bo3b3o4bo6bo4bo6boo5boobbo12bo5boboboobboo6b3o7boobo4bo$36b
o8b7obobob8oboo5boobobbo8boo4bobobboobb3o3boo4bo6bo5boobo$39b11o3bobob
11o4bobo6boo4bobbobbobbo3boo4bob4obob5obb3o3boobo$40boo3bo13b7o5bobbob
ooboo9bobboobb3obobobobo3b4obbo3boobo$43boo26bo3boobboo3b3obboo3boboob
obbobb3obbo3bobboobbo$55boo14boo3bob3obboo6bo3boo3bo4bo4bo9boo$54bobbo
13boo6boobb3o3boobbooboobbo3bo3bo$46boo5boobbo13bobobobobobobobbo16boo
9bo$45boo5bo4bo13bobbooboboobbob3oboobo3boobbobbo9boo$47bo4bobbo10bo4b
o5boobo3boboobbobboboobb4o3boo5bobo$49boobb4o7bobo6bo3bobbo3bobobobobb
o5bo5b3o$49boo4bo3boo4boo6b4obob5o4boo3bo8bo3boo7boo$55b3ob4o11bo8boo
5bo3bo6bobbo3boo6boo$53booboo5bo11b5obo6b4o10bo7bo$51booboo7bo12b4obo
bboobobboo4b3o5bobbooboobboo$49boobo4bo14bo17boo4bo6bo9bobbo$49bo4b3o
5bo7bobo24bo4b3o7boobbo$50boo4bobobboo8boo26b4o$53boobooboob3o35boo12b
o$55b4oboo52bo$57boobbo$52boo4bo6bo12bo$52boobboo3booboo10bobo20boo$
51bobo8boo13boo19boo$50boo11bo36bo$49b3o10bo3bo35boo$50bo6b3obbobbo35b
o$42boobo3bo7bo5bobbo17bo$42boboobboo8bo3b3o17bobo15bobbo25boo$42boboo
14bobobobbo15boo12boobo28bobo$43bo19bobbo29boo4bo26bo$43boo53bobobbo6b
o21bo$34boobbo4boo18bo39bo5boo18bobb3o$33boo4bobboo20b3o23bo9bobbo5bob
o16boobo$35boobobb3o21bo22bobo10bobo25boob3o$37boobbo47boo10bobo8boo$
44bo18b3o36boo7b4o13bo$41bobbo11boo4bobo37bo5bobo16boboobo$42bo13bobo
3b4o40b3obbo12boboobobo$43bo12bo6bo32bo9bo3boo8boob3oboboo$59bo34bobo
9bobo10boo7boo$59boo34boo10boo4boo6boboo3boo$85b3o19bo6boo$85bo28boo5b
o$78b3o6bo28bobbobbo$78bo6bobo14bo13b4obbo18b3o$79bo4boob4o9bobo16bo
21bo$81b4ob5oboo7boo13boo24bo$82boo7boobo23bo25boo$113bo31bo$95bo16b5o
$95bo12bo3bobboo25boo$94bobboo7bobo33boo$94boboobo7boo5boobbo22bobo$
88boo4boo41booboo$88bobobb3o20bobo17booboobo$88bo3bo39boo3boboo$91boo
3bo9boo6bo3b3o11bobobbobbo$91bo4bo9bobo3bobo17bo7bo$98bo7bo6boo5bobo3b
o10bobbo$92boo4boo7b3o16bo7b4obo$101boo4bob3o10bobobo7boo$101b3obo4bo
13b3ob3obo$108boobbo7bo3b3o5bobbo$101bo3bo6bobo3bobo4boo8bo$95b3obboob
o15boo$95bo4boo12bobo$97bobboo$95bobo18bobo$95boo22bo18b3o21b3o$95bobo
18bobbo20bo23bo$116bobbo19bo23bo$93boo21bobbo$90bobbooboo$85booboo3bo
bbo20bobo$84boo3bo29bo10boo$86bobobobb3o34boo$113boo4bo$88b3obbo18boo
4boo$88boo24bobboboo$116booboo$124b3o$110b3obbo8bo5boobo$110bobb3obo9b
3o3bo$111b6o7bo3b3o3bo$125bobo3bo$102bo6boo15boboo$101boo5bobbo16bobb
3o$101bobo3boobo7b3o3boob3o5boo$105bo12bobb4o3bobbo3boo$104bo14boob3o$
104bobbo10b3o4b3obb4o$111bo14bo3bobo$110b6o12bo3boo$110bo7boo12boo$
111bo6bo8boo$113bobobbo8boo5bo$114bo4bo5boboo4b3o$119boo3b3o6bobo$119b
oo3bobo8boo$134boo$130b3o$130bobbo$132bo$131boo3boo$131boo3bobo$131b3o
bbo$136bo$133boboob3o$135boo5bo$134b3o6bo$140bobo$136boboo!

This puffer creates nicely orientated loafs instead of the ships made by previous period 48 puffers, allowing the easy creation of multiple gliders using animation reactions.

Code: Select all

#C A diagonal c/4 period 48 sideways loaf puffer.
#C This uses a period 8 backwards rake whose gliders are perturbed
#C using sparking spaceships.
#C David I. Bell, 25 March 2024
x = 93, y = 102
69b3o$69bo3boo$72bo$69bo$66boobo3bobo$65boo4bobo$66bo3boo$66boboo$60bo
5bo$59boo5bo$59bob3obb3o$48b3ob3o3bobo5boo$48bobbob3ob4o5boo$51boo4bob
oo14bo$45b4o22bobob3o$45bo5bo17boobo5bo$38boo8boboboo14boob8o$25b3o9b
oo6bo5b3obo13bo3b4o$25bo13bobboobo3bobbo13b3o$3o15b3o6bo13boobbo5bobob
3o8bobbo$obb4obbo8bo6bobo13b3obboo5bo7boobbo3bo$b3ob4obo8bo4boob4o22bo
boo3boobboo$3b3obbobboboo6b4ob5oboo5boo12bo7booboo3bo$10bobbo8boo7boob
o3bobboboo4boobooboo3boobboo$12boobo21boobobo6boob4o4bo4boo20boo$15bo
22boo6boo3bo4b3o6boo7boboo8boo$15b3o24bobb3o9bo7bo6boobboo9bobo$17bo
12bo7bobo11bo5bo11boo4booboo6boobo$17b3o4boo5boo4b6obboo22bo3boo13boob
o$19b6oboo5bo3bo6bobo5bo5boo8bo4bo5b3obboo3bobo$20boobboobobobbo3boo5b
o6b4o3bo4bo5bo5b8obboo$22boobboobo3boboo3bobo3b4obobbob5o9bo7boobobboo
$22boobb3ob5o3bobo11b3obbo4boo10bo3boo6bo$21boo9bobboo7b4o11bobobboobb
3obobboboo4bobo$13boo6bobbobo5bo3boo3boo3boo4bobboboboo3b3o3bobo9bobb
oo$13bobo4bo4bo13bo12bob3o4b3obbo9booboboobbo$13bo5boo10b3obo3boo15bo
bbo5bobo8bo3bobbo3bobo$16bo3boo10bobobboboo15bobobboobbobo12bo4bo3bo$
16boobboob3o6boboo3bo27bo6b3obbo4bo$19b3obboo7boobboobo20b3o5bobo5bobo
4bobbo$15bobob3o13bo3boo19boobbo4b4obo4bo$15bobo3bo17bo22bobo5bo$14bo
6boboo$13booboo3bo3bo16bobo$12boobo4boo3bo17boo$13bo4bo3b5o16bo$13bo4b
o6b3o$25b3o18bobo$14b3o8boo20boo$15boo8boo20bo$14b3o21boo$15boo8bo12bo
bo9bobo$21booboo5boo5bo12boo$20boo3bo5bobo3boobbo9bo$22boboo5bo11bo$
27bo6bo3boo3b3o8bobo$34boo4boo4bo8boo24boobo$26b3o11b7o8bo25bo3bo$20b
oobboo15b4o36bo4bo$20boboboobo20bo9bobo22boo$20bo3bo22b4o8boo24bobo$
51bo7bo$24bo21b6o28bo6boo$26bo13b3o3boboo12bobo14b5o4bobbo$23boo15bo5b
obo14boo8boo4bo6boo$22bo18bobbooboo14bo9bobo11bo$21bobbobo16bo14b3o12b
o5boboo6bobo$22boboo20bo3bo7bo7bobo5boo4bo4bobo$21bo22boo4bobo8bo5boo
5bobbo6b3o$20b3o27bo7bo4bo3bo6bo6booboo$52b3o4b3o14bobobobbo$20boobbo
29boboo5bobo4bobo$22bo33bo8bo5boo5bo4bo$48boo3b3o10bo4bo7b4o$48bobobb
oo12bo$48bo4bo13bobo4bobo$51bobo21boo$47boo20boo4bo$47boo21bobbo$48boo
$46bo22boobbo$46b4o19bo$38bobb3obo4bo$37boobbob4o3bo19b3o$37bobobobobb
o$41b3obboo18bo4boo$40boobo21boo$41boboo20bobobboo$69b3o$68bobbo$63boo
17boo$63bobobboo11bobbo$63bobboboo12bobo$67boo14bo$62bo3b3o$54boo5boo
3boo$53boo5bo$55bo4bobo$57boobbo28boo$57boo30bobbo$90bobo$91bo!

Here are a couple of possibly useless puffers since we already have nice products for these periods.

Code: Select all

#C A dirty diagonal c/4 period 48 based puffer.
#C This uses a period 12 backwards rake whose gliders are perturbed
#C using sparking spaceships.
#C David I. Bell, 25 March 2024
x = 148, y = 147
54boobo$54bo3bo36b3o$54bo4bo35bo$56boo38bo$58bobo37boo$99bo$60boo$61bo
bbo31boo$96boo$60boobbo30bobo$60bo30booboo$90booboobo$56bo4b3o22boo3bo
boo$55boo29bobobbobbo$55bobobboo24bo7bo$59b5o16bo10bobbo$58bo5bo15bo7b
4obo$60bo3bo11b3obo7boo$59bo13boo4boob3obo$59boobo4boo4boo3b3o5bobbo$
60bo5boobobo6b3o8bo$59boo6bobbobboobbo$60boo5b6o3bobo$61bo6bobbo3bobb
oo13boo6boo$62booboo5bobobb3o12boo4boobo$62boobo11boo14bobobboo$63bobo
11boo14b3obboo$63bo23booboob3o$61boobo17boo3bob3o$60boo20bobobbo$62bob
o4boobo9bo7bobbo$64bo4bo3bo11bo4bobbo$47boobbo13bo3bo4bo3b3o4b3o$46boo
4bo10boo5b3obo3bobboobobbo$47bobo13b3o3bo5bo5b4o$42boobb5oboo10bobo5b
4obbobbobo$41boobb3o5boobo8boobo7bo4bo$36boo4boboboo3boo17boob4o$bboo
32bobo3boobbo3b4obboo6bo5bo9bo$bbobo31bo6bob3obbo6bo6bo3boo3b7o$bbo36b
o6boo15bo4bo6bo$5bo33boo12b3oboo4bo3boo3boobo$5boo57bo6boboo64bo$5boo
49bo8bobobbo27bobo37boo$4boo18b4o27bo34boo5boo39bobo$ooboo15boobo5bo
20boobbo11bobo20boo6bobboobo$o4bo10b3ob3o6bo20bobobobbo3boo3bobo5b3o
14bobboobo3bobbo36boo$ob4o10bo11b3o19bo3bo5boo3boo7bo9bo8boo7b3o34bo3b
o$4boo11bo4bobobo4bo25bo4boboobo7bo6bo3bo3bo3bo7boo30b3obboobbo$4boo
10boo3bobb3o3bobo22b3o8boo9boobboo3bob3o5bo6bo30bo3bo$4boo7b5obboo5bo
3boo3bo19bo6bo14bo7bo4bobboo4booboo27bobobo$6bo3boboo3bobboo5bo3boo3b
oobo15boo10boo13boo3bobbo9bo7bo19boboobobbobbo$5boo4bobbo17bo3bo3bo12b
oboo3bo4bo12b6o4b3o10bo5boo5boo10b3oboobo4bo$5bo6bo24bo3bo8boboo6boobb
3o7bo3bo28bobo3boo10boobbobbo$6bo28boobbo6b6obb4obo3bobo6b3o4bo4bo4bo
4b3o17boo5boobo3bo$34boo3bo10bo16bo4bobboboo5bo9bo3bo12b4o6bo$36bobbo
5boobooboboboo8boo5bobb4obo6boo7boboob4o4bobobbo6bobo4b3o$38b4oboobbo
5bo3b9o5boo3bo3bo6bobobbobobbo5bobbob3obo4boo3bo4boobo$42bo28bobobb3o
bbo5boo3boobboobo3bobbo5b3oboobbo3bo$42boo26bobobo3bo4bob4o11boo3boob
oo7b4o3bo$55bo14booboo3bo3boobbo3bo3boboboboobo3b3o9bo$54boo17boo3bo3b
obb5obobobo5bobo3bo$45boo6boobo11bobbobbob3o6boobbo3bobo4bobo$45bobo3b
oobbo13bobobbobobb4o6b8o5bo9b3o$45bo5boobobo6bobo8bobo3boobobo3bobbo6b
3o3boo5bo$48bo4boo9boo5bo4bo7booboo9boo5boo6bo$48boo8boo4bo7b4obooboob
o3boo3b3o5b4o11boo$55bo3b3o13bo4bobboboo3bo9boo5boo7bo$52booboo5bo12b
oob3o3b4obo12bo4bobbo$53boo4b4o12bobboo3boo4bo6boo6boboobbo$49b3o4b5o
8bobo17bo5boo5bo7bob4o$48boob5ob4o9boo18bo6bo4boo8boobo$50bobobbo3bobb
o7bo28boo$53bobobbo3bo36boo11b3o$53bobbobbobbo$56bo3b4o$52bobboo4b5o9b
obo$51boobboo3boo14boo$50bo25bo$49bobbo9boobo$49bo12b3o35b3o$49bo7boo
3b3o35bo$42bo4boo7boo4bo18bobo17bo$41b5o12bo4boboo15boo19boo$41bo6bo
11bobo19bo21bo$60bo3boo$41boboo17b4o35bo29boo$33booboo4bo21bo33b4obo
26boo$33bob3o25b3o21bobo8bo4bo28bo$33bobboo3boo45boo9bo4boo5boo21bo$
40boo46bo12bobb3o4bobo16b6o$37bo3boo20bo41boo4bo18bobbo$37bo3b3o12bo5b
oobo36booboo7bo15b6o$41bo13boo4boobbo37boboo6bobbo14bo3bo$42boo11bobo
35bobo7bobo7bobbo13boo$59bo3bo30boo8boo4b3obbo12boob3o$58bo35bo13bobo
bbo11boobbo3bo$58bobbo23boo20boob4o7b3ob3obo$84boo22boboo9bo5bobo$78b
oo5bo22bobo4b3o4bo7boo$77boo5boo13bobo7boo13bo$79bo4bobobboo9boo14bobo
$81boo3boob4o7bo17bobb4o19bo$81boo10bo24booboo20boo$93bo27bo21bobo$87b
o31boo$89boo3boo9bobo11bo26boo$94b4o8boo6boobo28boo$93bo4bo7bo7bo3bo$
88bo4bo4bo15bo3bo25boo$87boo3boo22bobo24bobbo$87bobo3bo48boobo$91b5o
10bo4bobo3bobo18b3o$91b4o10boo5boo24bo$91boo5bo6bobo4bo6boo13boo3bo$
92bo3boo23bo11boo5boboo$99bo6boboo12boo11bo5b3o$100b3ob4obobo25bob4o$
101boboobbo3bo5bobo3bobobboo6bobboo$100bobboo6b3o4boo5boobobbo3boo$95b
oo3bobo10bo4bo12bobob3o$94boo3bobbo10b3o15bobo$96bo3bo14bo10bobo$94boo
3bo15b3o6bo$94boo20boo5bobo$116boo4bobbo$95boo19boo5boo$93bo22boo$89bo
bb5o19boo$84boobbobo4bobo19boo$84bobobo4bo24bo$84bo3bo28bo$90booboo17b
oo$87bo24bobobbobo$87booboo20bo3bobo$115boobbo$116bobo$110boo3boo$109b
oobob3o$111bobo$$108boo$100b3o5boo3bobo$100bo6bobo$101bo4boo$103b4obo$
104boo!

Code: Select all

#C A dirty diagonal c/4 period 72 based puffer.
#C This uses a period 12 backwards rake whose gliders are perturbed
#C using sparking spaceships.
#C David I. Bell, 25 March 2024
x = 187, y = 193
54b3o39boo$54bobb3o36bobo$55bobo38bo$60bo38bo$58bo40boo$60bobo36boo$
63bo34boo$60bobbo33boo$60bobbo31boobbo$60bobbo28bobb3o$91boo$61bobo27b
obo$56boo5bo22b3o3bo$55boo29bo6bobbo$57bobboo25bo4bo$59boobboo24boboo
3bo$59boobbo14b5o5b5o$61bo13bob7obobo$59boobo5bo4bobbo6boo3bobo$60bobo
4b4oboobbo10bobo$60bo6bobooboobo$61bo10bo3bobobo$60bobo5bo4bo5bo14bo7b
o$62bo3boo5boo18boo5boobo$61b3ob4o8boo14bobo3boobbo$63bobboo9bo19boobb
o$65bo12bo16b5o$62boboo21b3oboob3o$61b4o17b3obbobboboboo$61bobbo17bo5b
3oboo$63boo4b3o11bo$48bo15bobobbobb3o4boo5boo$47boo14boobo5bo3bobbobo
3boo$47bob5o11bo4bo3bobobbobboboobo$43bo6bo4bo14b4o6b3obboo$42b4o3bo5b
o10bobo6bobbobb5o$42bobboo10bo7booboobb3o3bo3b3o$36b3o5bo6booboobbo7bo
3bo5boobo$bb3o31bo6bobbo3boobboo3bo5bo3bo3boo5bo$bbo34bo4b6o4bobo9boo
4boobooboo$3bo35b4oboboo6bobbobo3bobbobobobbo6bo$5boo33boo12boo3bo7bob
obbo$6bo48b3o6b4obo4boo23bo39boo$25bobo27bo10bobbo21bo6boboo36boo$3bo
20bo31bo33boo5bo5bo36bo$4obo11boob3obobboo21b3obobbo4bo4boo6boo13bobo
bbooboo3bo$o4bo11bo3bobobboboo20bo5bo4b4o10bobo16b4o6bo36b3o$bo4boo9bo
booboobobb4o19bo4boo3bobb3o8bo7bo9bo3bo3boo32boobbooboo$3bobb3o9b3o6bo
4bo22bo7bo4bo9bo3bob3o3b5obo38bobbo$7boo6boob3obo6bobobo30boo3bo8boobo
4bobboob3o6boobo30bobooboo$4booboo3boobooboo5boobo3b5obo18bo7bobo13boo
b4obo3bo7bobbo27boo4bo$5boboo3bobbo6bo9bob3obbo14b4o8b3o15boo6bo8bobo
4boo5bo12bobobo3boo$5bobo4boo19bobo3boo11boobb5obo3boo10boo4boo21boo5b
oo10boobo4bo$6boo27bo3boboo5b3o7bobo4bobo6b3obo3bobo4bobo3boo12bo4bobo
8bobbob4o$35boboboboo4b4o4b8obb3o4boob3obo3bo6bo4bobo14boo7b3ob3obb3o$
35bob3obo3boo6bo9boo7bo3bobbo8boo4bobb4obbobo4b3o8bo6b3o$43bo6bobbo20b
o13b3o3bob3o3boobobbo4boboboo5bo$39bobboo8bo4bo9bo4bobob4obo6bobobbobb
o4bobobb3o4boboboo5bo3boo$39bo7boo18bo3b4ob4o5boo3booboo4bobobboo13b3o
bbo$44bo19bobo3boo9bob3o3b3oboo4boboobbobobbobobobboo$55boo4bo8bo4b4o
bbo4bo4bobo4b4obboobobo10boo$53boobbobbobbo3bobbobbobboo3bo3bo4bo3bob
oo5b3o$45b3o5boob3o4bo6boobobo5bobo3boobbobobo7boo8boo$45bo6bobobo7boo
4boobboobo3b3o4b4o3b3oboobboo8bobo$46bo4boobbo7boo7bobobbobbooboo5bob
8oboobbobo5bo$48b4obobbo15boobo4boboboboboboobobo3boboobbo10bo$49boo6b
3o13bob3ob4o7booboo9boo3bo6boo$57boboboo10bo10bo3bo13boo3b3o6boo$52boo
3booboobo5bo5bo3bobboobobbo8bo5bo3bobboo3boo$50b3oboobo12boo3bo3bo8bo
3bo3boo5bo5b3obboo$49boobo16boo6boo11boo4bobo3bo8bobobbo$49bo5boo4boo
37bo3bo7boo$50bobbo4b3o38bo13bo$54bo8bo35bobbo$54boo7bo11bo$60boo14boo
$52boobbobobbooboo9boo$51bobbobbo3booboo$50boobo7bo$49bo13bo$49bo8bo3b
oo17bo$51bo5boo3booboo15boo$42boobobb3o6bobo5bo15boo20b3o$41boo3boboo
11booboo37bo$42bobbo15booboo38bo$42bobbo17bo42boo$42bo44bo19bo$33b3o
28boo22boo$33bobb4obo22b3o20boo15bo29boo$34b3ob4obo20b3o34b4obo26boo$
36b3obbobo21bo35bo4bo28bo$63b3o36bo4boo5boo21bo$43bo12boo4bo30bo10bobb
3o4bobo16b6o$42boo11boo5bobbo28boo12boo4bo18bobbo$57bo4boo29boo10boob
oo7bo15b6o$59boo45boboo6bobbo14bo3bo$59boo25bo19bobo7bobbo13boo$85boo
20boo4b3obbo12boob3o$79bo5bobo11bo11bobobbo11boobbo3bo$78boo20boo8boob
4o7b3ob3obo$78bobo3boobobo9boo10boboo9bo5bobo$82bo7boo19bobo4b3o4bo7b
oo$81bo4bo5boo18boo13bo$81bobbobb6o26bobo$105bo15bobb4o19bo$106boo13b
ooboo20boo$94b3o8boo17bo21bobo$94bobboo23boo$93booboo24bo26boo$88boo
27boobo28boo$87boo4bobo15bo5bo3bo$89bobboboo16boo3bo3bo25boo$91boo13b
oo3boo6bobo24bobbo$91boo4bo7boo38boobo$92bo4b3o6bobbo10bobo18b3o$98boo
6boobo31bo$100boobobboo3bo5bo4boo13boo3bo$101bobo14boo4bo11boo5boboo$
101bobbo4bobobo3boo6boo11bo5b3o$96bo3b3o10bo26bob4o$95boo16bobo10bobo
bboo6bobboo$95bobobo28boobobbo3boo$100boo13bobo16bobob3o$95bobo26boo8b
obo$94boobo19b3o3boobbo3bo$95bo22b3obbo3bo$94bo20b6o5boobo$93b3o29bobb
o$89bobbo3boo20bo7b3o$84b3ob3obb5o20bo8bo$84bo5bobbobo22bo$85bo3bo4bo$
87boobobbo18b3o3boo$88bobo21bo17boo$88bobo22bobboo12boo$116booboo5b4o
bbo$111bo4bo9bobboo$110b4oboo10boboo$110bo17bo$111boo3bo16b3o$110b6o
17bobo$101boo6boo22bobbo$101bobo3boobbo22bobo$101bo5b3o21b3o3bo$104bo
25bob4oboo10bo$104boo24boboobobbo9bobo$131bo4bobo9bobo$136boo11bo4$
141bo$140bobo$140bobo$141bo8$150boo15bo$149bobbo13bobo$148bobbo14bobo$
149boo16bo3$146bo$146bo$146bo$$158bo$158bo$158bo6$168boo15bo$167bobbo
13bobo$166bobbo14bobo$167boo16bo3$164bo$164bo$164bo$$176bo$176bo$176bo
!

Finally, this is an interesting backwards rake.

Code: Select all

#C A diagonal c/4 slow period 192 backwards rake.
#C This uses a period 12 backwards rake whose gliders are perturbed
#C by sparking spaceships to become long boats, and which are then
#C hit by gliders from a sideways period 192 rake to eventually
#C become backwards gliders.
#C David I. Bell, 25 March 2024
x = 625, y = 361
325bo$324b5o37boo$324bobboo36boo$326boobo37bo$369boo$329bobo36bo$$331b
3o33bobbo$332b3o31boo$329b6o30bo$361boobbobo$332bo28bobobbo$332bo24bo
3bobo$325b3o4bo23boo4boo$55bo269bo30bobo3boo$54b5o37boo228bobb3o29b3o$
54bobboo36boo231bo3b3o14b3o7bo3bo$56boobo37bo231bob4o12bo5bo4boobbo$
99boo230boo13boo9bo$59bobo36bo230boobo4boo3b5ob4oboob4o$330bo6bobbo4b
oo11boo$61b3o33bobbo229bo6bobbo3b4o$62b3o31boo232boo6booboobo4bo$59b6o
30bo236bo4bo4b3o4bo13boo6boo$91boobbobo237bo7boo3bo14bobo3b3obo$62bo
28bobobbo234bob3obbo8boo14bo4boo$62bo24bo3bobo239bo4bo8bo16boo$55b3o4b
o23boo4boo239bobo22bo5bo4bo$55bo30bobo3boo237boobbo17bo3b6o5bo$56bobb
3o29b3o237bo20boo3bo8bo$58bo3b3o14b3o7bo3bo237bo3bo4bo11bobo3b3ob3o$
59bob4o12bo5bo4boobbo240boo4b5o13b3o$61boo13boo9bo229boo20bobboo5boo4b
3o$59boobo4boo3b5ob4oboob4o227bobb3o10boobo4boobo3boobobbo$60bo6bobbo
4boo11boo227bob4o11boo4bo4bo3bobb3obbo$60bo6bobbo3b4o234boo4bo3bobo14b
7o3boo$60boo6booboobo4bo232bobboo9bo8boobobo8boo5bo$62bo4bo4b3o4bo13b
oo6boo204bo4bo3bo7b3o8booboo3b4oboobo3bo$65bo7boo3bo14bobo3b3obo169bo
32boo5boobo3b7obo7b3obobobbob3o3bo$61bob3obbo8boo14bo4boo172boo32bobo
3bo3boobbo13b3obbob4o3bo$63bo4bo8bo16boo176bobo35bo10bobbo3bo5b3o3boo
3bo$63bobo22bo5bo4bo209bo4bobbo6bo3bo5b5obobboo$61boobbo17bo3b6o5bo
176boo32bobbo11bobbo6bo4boobboo$61bo20boo3bo8bo178boo58boboboo28boo37b
3o$61bo3bo4bo11bobo3b3ob3o230bobo8b3o21boo6b3o37bo$63boo4b5o13b3o181bo
boo16bob6o22bo3boo10boo21bobo3boobbobo36bo$47boo20bobboo5boo4b3o182b4o
13boob3oboob3o20boo3b3o3boo12boo13bo3bo3bo4boo36boo$47bobb3o10boobo4b
oobo3boobobbo185bo3boo10boo7boo23bobobboo4bobboboo6boo17boo7boo36boobo
$47bob4o11boo4bo4bo3bobb3obbo187bobbo8bo4b3obo3boo23b3o3bo3bo10bo6b3o
5bo5bo37boobboobbo$42boo4bo3bobo14b7o3boo205bo5boo8bo23bo6bobbo11boobb
5obboo4bo7bo30boobbo3bo$42bobboo9bo8boobobo8boo5bo187boo3bo4b3o4bo4b3o
bbo3bo28b3obo9b4o6boo5bo5b3o30bob3o$37bo4bo3bo7b3o8booboo3b4oboobo3bo
188boo3bobboo4boboo9bo4boo17bobo6boobo12b5obb5obbo5boobbo26b3o4boo$3bo
32boo5boobo3b7obo7b3obobobbob3o3bo191bo5bo3boo15bo4b4o12b3o3bo5bobbo
33bo4b3o4boo11b3oboo4bo$bboo32bobo3bo3boobbo13b3obbob4o3bo196bo6boo19b
o4boobo7bo3boo5boo3bo9bob3o27bo6bobo9boo$bbobo35bo10bobbo3bo5b3o3boo3b
o200boo27bo3bobbo4bobboo3bo6bobbobbo4boo9boo4bo4boo11bo5bo7boboobbo4bo
$39bo4bobbo6bo3bo5b5obobboo229boobobo6boobbo5b3ob4obobo4boo5bo3bo4bobo
3boobobo10boboo7boob4o5bo$5boo32bobbo11bobbo6bo4boobboo232bobobo4b3obo
3bob11o5bobob3o9bo5bo4bobboo7bobbo6bob8o$5boo58boboboo28boo37b3o168boo
bboo7boo22bobboo6bobbobboobo3boobobobboobobo3boo11bo$55bobo8b3o21boo6b
3o37bo173boo27boobobobboo6boo3boobboboboobobb3o8bobbobb3o$boboo16bob6o
22bo3boo10boo21bobo3boobbobo36bo173bo22boobbo3bobobbobbobboo8bo5bob3o
bbo4boobobboo$4o13boob3oboob3o20boo3b3o3boo12boo13bo3bo3bo4boo36boo56b
oo139bobboo4boobobo4bo12boo4bo9bo$o3boo10boo7boo23bobobboo4bobboboo6b
oo17boo7boo36boobo54boobboo120b3o12boo4bobboboo4bobbobobobob3obo6bo$5b
obbo8bo4b3obo3boo23b3o3bo3bo10bo6b3o5bo5bo37boobboobbo56boobo112bo6bo
4bo3bo6boobo5boboo4boobboob8obo3bo$16bo5boo8bo23bo6bobbo11boobb5obboo
4bo7bo30boobbo3bo55b3obboo110boo5bo3bobo4bo5bo3bobobobbooboobboobboo5b
o3bo10boo$4boo3bo4b3o4bo4b3obbo3bo28b3obo9b4o6boo5bo5b3o30bob3o56boobb
oobboo110bobo3boobobo8bo4bo4bo11boo10b3o3bo6boo$4boo3bobboo4boboo9bo4b
oo17bobo6boobo12b5obb5obbo5boobbo26b3o4boo55bo4bobo116bo4b3o6b3o6bo7bo
3booboo4bo11boo7bo$5bo5bo3boo15bo4b4o12b3o3bo5bobbo33bo4b3o4boo11b3ob
oo4bo57bo4bobo115bo7b3o13bobboboo5boo11bobob3obo10boo$5bo6boo19bo4boob
o7bo3boo5boo3bo9bob3o27bo6bobo9boo68boobo118bobbo4booboo12boboobboobo
bbobobbooboo6bobb3obbo5bo$6boo27bo3bobbo4bobboo3bo6bobbobbo4boo9boo4bo
4boo11bo5bo7boboobbo4bo62boo128bo4boo12bobboo4bo4bo12boobboobo$34boobo
bo6boobbo5b3ob4obobo4boo5bo3bo4bobo3boobobo10boboo7boob4o5bo54b3obbobb
oo124b3obbob3o8bo3bo8boobb3o6boo5boobbo3bobbobbo$37bobobo4b3obo3bob11o
5bobob3o9bo5bo4bobboo7bobbo6bob8o57bo3bo3bo122boo3bob3o12bo4bobbo9bobo
4bobo3boo5bo4bo$39boobboo7boo22bobboo6bobbobboobo3boobobobboobobo3boo
11bo47boobboo7bo3bo123bobb3o14b3o6bo12bo4bo6bo7bobobo$42boo27boobobobb
oo6boo3boobboboboobobb3o8bobbobb3o51booboboo3b3o5bo123bobo7b3o37bo13b
oo$43bo22boobbo3bobobbobbobboo8bo5bob3obbo4boobobboo57bobo4boobo7bo
127boo3b4o36boo11boo$70bobboo4boobobo4bo12boo4bo9bo56b5o21bob3o117b3o
3bo$54b3o12boo4bobboboo4bobbobobobob3obo6bo65boo3boo17boobo4boo116boo
6bo13bo$46bo6bo4bo3bo6boobo5boboo4boobboob8obo3bo60boo7boobo3bo14bobb
6o116b3o4booboo12bo$45boo5bo3bobo4bo5bo3bobobobbooboobboobboo5bo3bo10b
oo40boo10bobo3bob3o3boobbo12bo123boo3bo6boo9b3o$45bobo3boobobo8bo4bo4b
o11boo10b3o3bo6boo40boo11bo3bo3boobobbo3bo10boo122boobbobbobbo3boo$49b
o4b3o6b3o6bo7bo3booboo4bo11boo7bo15boobbo13boo5bo14boo4bobbobo13boo
123b3o8boboo$48bo7b3o13bobboboo5boo11bobob3obo10boo11boo4bo11boo5boo
15boboboo6boboo3boobbobboo120bo13bo$48bobbo4booboo12boboobboobobbobobb
ooboo6bobb3obbo5bo15boobobb3o9bo4bobobboo21bo7bo3b5o121bo6boo23bo$56bo
4boo12bobboo4bo4bo12boobboobo23boobbooboboo7boo3boob4o5boo12bobo5bo3bo
boo120bo8bobobbooboo16bo$52b3obbob3o8bo3bo8boobb3o6boo5boobbo3bobbobbo
22bobobo6boo10bo3bobobboo5boboobo4boo3bo116b3o3boobo6bo3bo19b3o$49boo
3bob3o12bo4bobbo9bobo4bobo3boo5bo4bo27bo20bo3b3obboo4boobobbo3bo5bo21b
oo93bobb5obo9b3o3bo$49bobb3o14b3o6bo12bo4bo6bo7bobobo27bobo11bo8bo5b3o
bbo7boo6boo10bo10bobo75boo16booboo14bo3bo$49bobo7b3o37bo13boo30bo13boo
10b4ob3obo5bo5bobo7b4obo8bo77bobbo13b3o18b3o$54boo3b4o36boo11boo32bo
20bo3bo5boobo5boboo10boboo4bo8bobo74bob3o5bo29bo23bo$53b3o3bo87bo4bob
oo4b3o4b5obbooboo3boo15b4o3boboo7boobo77bo4b6o25bobo22bo$54boo6bo13bo
70boboobbo3bobbo5bo7booboo8b3o8boo6boboo4bo5bo70boboo3bo4bo7boo20bo13b
oo8b3o$53b3o4booboo12bo72bobbobobboboo4bobbo3bo3bo3b3obbo4bo5boo3bo8bo
boo4bo70b5obobo5bo6bo35bobo$52boo3bo6boo9b3o21bo51boo3bob3obbobo3bobb
6oboo5boob3o6boo3b3obobbo79bobbo12bobobbo21bo6boo5bo$50boobbobbobbo3b
oo32boo56bo4bo3bobobob3o8bo3bobb3obo4bobbob5obo4bo76bobbobbo9bo4bo20b
3o4bobo3boobbo$50b3o8boboo33bobo50bo3bo6bob6oboobbo6boo4bo5boboboobo4b
o7boboo74bobo17boo11b3o4bobbo4bo11bo11bo$49bo13bo79bo6b4o6bo7bobo4boo
4b3o3boo5boo5bo9b4o69boo3bobbo19boo11bo5boo10bo3boo3b3o10bo$50bo6boo
23bo18boo39boo5bobboboo4bo7bo13boobboobboobo6bo5bo4b3o69boobbobobbo33b
o4b3o9boo4boo4bo7b3o$48bo8bobobbooboo16bo17boo39bobo4bob3o9bobooboo15b
3o3bo3bo9b5o6boo55booboo5bobb5o37b4o17b7o36bo$41b3o3boobo6bo3bo19b3o
62bobbooboo6boobo4bo17boobboo3bobo8b3o7b3o54bob3obooboo3bobbobo36boo
19b4o37b5o$41bobb5obo9b3o3bo30boboo27b3o15bo6boo7boo3bo23bobo9b3o7b4o
56bo9bobbo4bo65bo33bobboo$42booboo14bo3bo30b4o28bo16bo3bo13bo3bo22boo
5bobbo3bobbo6boo54boobobboboobbo13boboo56b4o10bo22boobo$41b3o18b3o31bo
3boo27bo18boobobbo9boo4bo19bo3bo3b3o3bobboboo59bo3bo19b3obooboo57bo10b
o$34bo29bo23bo12bobbo4boo21boo10b3o24bo18bobobo7bo60bo6bob3o18boobbobb
oobo51b6o8b3o24bobo$33b6o25bobo22bo18boo18b3obbo9bobooboo3bo15b3o78boo
10boo9bo3b3o13bo55b3o3boboo$33bo7boo20bo23b3o10boo3bo4bo16bo14bo3b5ob
oo96bobo9bobobb4o3b3ob3o14bo53bo5bobo31b3o6b3o$34bo6bo58boo3bo22bobbob
o8bo8boobo19bo50booboo13boo5bo15b3oboobboobbobo9b3o57bobbooboo26bo4bo
bb3o4b3o$36bobobbo21bo37bo9b3o17bobo8b6o4bobbo19bo49bob3o13bobo3boobbo
11bobbobo7b4o4bobbo4bo57bo14b3o6bo6boo5boob5ob3o$37bo4bo20b3o35bo7bob
4o12bo15booboo7bo17b3o49bobboo3boo8bo11bo29boobbobbo62bo3bo7bo9bo5bobo
3b3o4booboo$42boo11b3o4bobbo28bo7boo3b6o13boobobo12bo10bo76booboboo7bo
3boo3b3o6bobbo9b3o5boboobboo60boo4bobo8bo4b3o17bobo$42boo11bo5boo32bo
9boo4boo7boboo3bo3bo11boo10bo22bo50bo5boboo7boo4boo4bo4boo3bo8b3o7boo
70bo7bo4bo12b3o6bobbo$56bo4b3o29b3o9boo4bo7boobooboboo15bobbo6bo24bo
49bo5bo3bo12b7o3boo4bo4b3o8booboo23bo48b3o4b3o13b3o7bo$58b4o44bo7bo4bo
bo3bobo16bo10bo21b3o28boo27bo15b4o4bo6boobbo4boo4b6o12bo9boo50boboo5bo
bo11bobob4obbo$59boo24boo19bo7bo13bo15bobbo59boo30bobo20bobobobbobbobb
11o4bo7boobo9bobo51bo8bo7bo5booboo$85bobo19boo4bo31bo4booboo27bo26bo
31bo23boo5bo3b4obo8bo4boobo4bo53boo3b3o10bo7bo4b6o$78boo5bo14bo14bo4bo
bo27bo3bo28bo27boo28bobo6bo5boo4boobo4bobo21bo5b4o9bobo41bobobboo12bo
4b3o$78bobo3boobbo12bo14boboobo19boo7boboo3bo23b3o26bo5bo29b3ob3obboo
5bo6b4o10boo8bo3bo5bo7booboo41bo4bo13bobo$78bo11bo8b3o14boo23bobo11bo
58boobo25bob4ob3o3bo4boboo3bo5bobboo3boo9bo3bo5bobbob6o46bobo$81bo3boo
3b3o23bobboo20bo15bo28bo28bo3bo33bo3boobobboo3boboo3boboobboob4o5boo3b
oo6b3obboo43boo20boo6bo$81boo4boo4bo23boo25bo9bo32bo23boobb3o35boob3ob
obo4bo3boobbobo11bo5bo3boboo3b3obboo43boo21bobbobbo3bo$87b7o22b3o25boo
4bo3boboo27b3o23boobo35b6o3bobboobboo3boo4bo4boo5bo4b3o5b4o3bobo45boo
30bo$88b4o14bo5boobbo27boo3boo3bo44bo13bo3bo27b3obb3oboo3bo3bobo5bo5bo
6bobo3b3obo8b7o45bo22boobbo5bo$95bo11bo3boobboo26boo4bobobboo34bo7boo
11boo5boo17b3o4bobboboo12bobo5bo5bo3bo6bobb5o5bobbo6bo43b4o19bo6b3o$
94b4o7b3o5bobboo24boo10boo35bo6bobo10b3o23bo6bobbo8bobobbobo14bobboo3b
3oboboo7b4o7bo34bobb3obo4bo$98bo16bo24boobbo8boo34b3o10bo7boboo24bo4b
oobo9bob3obo18bobb3oboobbo7bo6bo4bo33boobbob4o3bo19b3o$93b6o16boo20bo
bb3o11boo45bo3booboobobbo25b4o4boo6bobboboo25bobobbo15bobbo33bobobobo
bbo$87b3o3boboo39boo15boo39bo6bo3boob3o12boo18bo3boobo9bobboo21bobo8b
3obobobbobboo39b3obboo18bo4boo12boo$87bo5bobo16bo3b3o17bobo12boobbo39b
o11boboo11boo3bo13b3o3boo9booboboo20b5obb8obo3bo43boobo21boo17bobo$88b
obbooboo17bo4bo12b3o3bo13b3o39b3o7bobbo4bo12boboo15bo3bo37bo3bo7bo6bo
45boboo20bobobboo11bobo$90bo14b3o3b3o4b3o10bo6bobbo9bobboo47b3o20b3o9b
3obbooboo18bo27boo82b3o12bo$93bo3bo7bo14bo11bo4bo60bo3bobbo20bo11boob
oobb3o19boo108bobbo$91boo4bobo8bo11b3o11boboo3bo7boo48bo3bobobo20b3o6b
obo9bo16boo104boo$97bo7bo4bo11b6o5b5o11booboo43b3o8bo12boobo4boo6boob
3o5boo122bobobboo21boo$99b3o4b3o9bo3b7obobo17bo53bo3bo12boboo3bobo10bo
4boboo20bo101bobboboo20bobo$101boboo5bobo6bo8boo3bobo15boo49bo12boo4bo
boo3b3o8bo8boo21boo103boo20bobo$103bo8bo4b3o12bobo68bo10boo6bo5b3o8boo
7boo20boo99bo3b3o21bo$95boo3b3o10bo10bo76b3o11bobo4boo4bobo8bobo7bo
113boo5boo3boo$95bobobboo12bo100b3o4boobboo12b3o6bobo22bo28boo57boo5bo
$95bo4bo13bobo6bo91boo6bobo14b3o32boo26bobo58bo4bobo34boo$98bobo24bo
91bobo3boo3bo11bo5bobo25boo27bo62boobbo34bobo$94boo20boo7bo17boo22boo
22boo30b4o18booboobo54bo59boo36bobo$94boo21bobbobobbo16bobo21bobo21bob
o26bobo23boboo3bo25bo27boo3bo93bo$95boo26boo19bo23bo23bo28b4o25boo27b
oo25boobbobo$93bo22boobbo100b4o26boo25boo27boboobbo$93b4o19bo105boo26b
oo55boobob3o97boo$85bobb3obo4bo151b3obo28bo24bobo3boo96bobo$84boobbob
4o3bo19b3o124b3obbo33boo22bo5bo96bobo$84bobobobobbo150bo37boo9b3o17boo
96bo$88b3obboo18bo4boo125bo3boo42bo12boo$87boobo21boo18boo115bo36bo7bo
10boboo$88boboo20bobobboo13boo115bo37boo7b3o5bo4bo108boo$116b3o129boo
36boo9b6oboo3bo8boobo95bobo$115bobbo5boo89boo30bo52bo4bo12bo3bo93bobo$
110boo12bobb3o81boobboo29booboo39bo8bobo4boo10bo4bo93bo$110bobobboo7bo
b5obo78bob4o74boo5b3o19boo$110bobboboo8bo6boo78b3o30bo4bo39boo5bo24bob
o$114boo9bo5b3o78boo31bo52bobo123boo$109bo3b3o9bobbobbo113boboo45bo4b
5o13bo6boo97bobo$101boo5boo3boo13b4o67boo44bobo47boo3boobo12b5o4bobbo
93bobo$100boo5bo10boobobbo7bobbo63bobo44boo46boo14boo4bo6boo98bo$102bo
4bobo8boboobboobo3bobbobo62bo99bo10bobo11bo$104boobbo9boboo3bo5bobbobo
65bo96boo9bo5boboo6bobo$104boo13bo4bo5boo70boo107boo4bo4bobo105boo$
119boo3bo3bobo71boo94boo11bobbo6b3o105bobo$110boobbo4boo6bob3o69boo
108bo6booboo105bobo$109boo4bobboo6b4o67booboo38bo47bo24bobobobbo108bo$
111boobobb3o7boo3boo63bo4bo37boo46boo$113boobbo9bobo67bob4o36bobo45bob
o25bo4bo$120bo6bobobboobo65boo113b4o116boo$117bobbo3boo6boobo65boo232b
obo$118bo4boo9bo66boo17boo212bobo$119bo5bo8bobo66bo16bobb3o209bo$130b
oobbobo65boo16bob5obo$130bo71bo18bo6boo$130bo72bo17bo5b3o212boo$132b3o
86bobbobbo213bobo$132b6o86b4o212bobo$132bo81boobobbo7bobbo209bo$132boo
3bo76boboobboobo3bobbobo$132boobbo77boboo3bo5bobbobo$133b3obb3o74bo4bo
5boo220boo$135bo4bobo72boo3bo3bobo220bobo$135b4obobo63boobbo4boo6bob3o
218bobo$135b4obobo62boo4bobboo6b4o69bo151bo$138bo68boobobb3o7boo3boo
64boo$209boobbo9bobo68bobo$216bo6bobobboobo222boo$213bobbo3boo6boobo
65boo154bobo$214bo4boo9bo66boo153bobo$215bo5bo8bobo220bo$226boobbobo
60boboo$226bo65b4o40b3o93b3o$226bo65bo3boo40bo95bo25boo$228b3o66bobbo
36bo95bo25bobo$228b6o224bobo$228bo67boo3bo14bo142bo$228boo3bo62boo3bo
13boo$228boobbo64bo17bob5obo$229b3obb3o60bo20bo3b4o140boo$231bo4bobo
59boo17bo3bo143bobo$231b4obobo77b3o145bobo$231b4obobo78bob4o142bo$234b
o75bo5boo3bobo$309b5oboobob3obb3o$309bo8b3o5boo144boo$317boobbo149bobo
$309boboob5obboboo145bobo$301booboo4bo5boobboo149bo$301bob3o$301bobboo
3boo7boo3boo$308boo8boo4bo153boo$305bo3boo9bo3b3o150bobo$305bo3b3o3boo
bbo4bobo149bobo$309bo5bo8bo152bo$310boo3bobo9bo$322bobb3o$321b5o158boo
$321bobbo157boobo$323boo156bobbo$324bobboo152bobo$321bo4boo154bo$322bo
boboo$324boobobbo$325bo4bo$330bo$325bobo4b3o$327boobo$330bo13$508boo$
507bobo$506bobo$507bo3$514boo$513bobo$512bobo$513bo3$520boo$519bobo$
518bobo$519bo3$526boo$525bobo$524bobo$525bo7$531bo$530boo$530bobo24$
562boo$561bobo$560bobo$561bo3$568boo$567bobo$566bobo$567bo38$603boo$
602boo$604bo17$623bo$624bo$622b3o!

BCNU,
-dbell

[C_R_116]

Here's a partial c/7 that I found from searching ships with width 11 gutter symmetry:

Code: Select all

x = 23, y = 73, rule = B3/S23
2b5o9b5o$bo5b2o5b2o5bo$o21bo$o7bo5bo7bo$4bo2bo7bo2bo$5bo11bo$2bobo3bo
5bo3bobo$bo2b2obobo3bobob2o2bo$4b3obo5bob3o$4b3o2bo3bo2b3o$10bobo$2b2o
3b2obobob2o3b2o$7b2obobob2o$7b2obobob2o$6b3obobob3o$10bobo$5bo4bobo4bo
$6bo3bobo3bo$2b2o3b2obobob2o3b2o$bob2o3bobobobo3b2obo2$2bo17bo$2bo17bo
$bo19bo2$2b4obo7bob4o$3b4ob2o3b2ob4o$7bo7bo$7bo7bo$4b4o7b4o$3bo4bo5bo
4bo$3bo2bo9bo2bo$6bo9bo$5bo11bo$4bobo9bobo$3b2obo9bob2o$6b2o7b2o$6b2o
7b2o2$6b2o7b2o$7b2o5b2o$6b2obo3bob2o$6b2o7b2o$6b3obobob3o$2bo3bo3bobo
3bo3bo$2o4bobobobobobo4b2o$2o4bo3bobo3bo4b2o$bob2o2b2obobob2o2b2obo$bo
bo3b3o3b3o3bobo$2bo3b2o7b2o3bo$3b2o13b2o$4b2o2bo5bo2b2o$2bo6bo3bo6bo$
3o3bobo5bobo3b3o$2bo4b2o5b2o4bo$2b3o13b3o$2b2o2bo9bo2b2o$bo2bo13bo2bo$
bobob2o9b2obobo$2o3bo11bo3b2o$bo4bo9bo4bo$bo4bo9bo4bo$bo2b4o7b4o2bo$4b
ob3o5b3obo$b3o15b3o$b2o2b2o2bo3bo2b2o2b2o$8b3ob3o$5b2obo5bob2o$2bo17bo
$3b2o3bobobobo3b2o$2obo2b4o3b4o2bob2o$2bo3b2obo3bob2o3bo$2bo4b3o3b3o4b
o!

I tried extending it from a few cells below with width 11 odd symmetry:

Code: Select all

x = 23, y = 74, rule = B3/S23
bo5bo7bo5bo$ob2obobo7bobob2obo$3obob2o7b2obob3o$3bobo11bobo$3bo15bo$2b
2o4bo5bo4b2o$2bo5b2o3b2o5bo$2b2obo4bobo4bob2o$4bo3bo5bo3bo$10bobo$3b2o
4b2ob2o4b2o$3b2o5bobo5b2o$6b3obobob3o$6bo3bobo3bo$5b2obobobobob2o$10bo
bo$4bo3bobobobo3bo$3bo2b3obobob3o2bo$2bo6bo3bo6bo$2bo2bo2b2o3b2o2bo2bo
$2bo2bo11bo2bo$4bo13bo$2bo17bo$2b2o15b2o$2bo17bo$5b4o5b4o$2b2o4bo5bo4b
2o2$7bo7bo$4bo2bo7bo2bo$3b2o2bo7bo2b2o$8bo5bo2$8bo5bo$3b6o5b6o$7bo7bo$
3b2ob2o7b2ob2o$6b2o7b2o$6bobo5bobo2$7bo2bobo2bo$7bob2ob2obo$9b2ob2o$6b
o9bo$5bob3obob3obo$4b4o7b4o$4bo6bo6bo$5b2obobobobob2o$6bo9bo$7bo7bo$7b
obo3bobo$3bobo11bobo$2bo3b4o3b4o3bo$2bo2b2o3bobo3b2o2bo$3bo3bo2bobo2bo
3bo$6b3o5b3o$9b2ob2o$10bobo$2b3o4b2ob2o4b3o$2bob2obo7bob2obo$3b2o4bobo
bo4b2o$4bo4b5o4bo$4bo13bo$3b2ob2obo3bob2ob2o$3b4obobobobob4o$2bob2o4bo
bo4b2obo$2bob3o3bobo3b3obo$3bo4b2obob2o4bo$3bob3obobobob3obo$5bo3bobob
o3bo$b3o2bo2bobobo2bo2b3o$5b3obobobob3o$b3o2bob2obob2obo2b3o$3b2o4b2ob
2o4b2o!

There are some asymmetric bits that move on their own. Maybe I should extend from those parts.

EDIT: A width 11 even search gave me this huge partial:

Code: Select all

x = 22, y = 83, rule = B3/S23
b2o3bo8bo3b2o$o2b3ob2o4b2ob3o2bo$o6bo6bo6bo$bobob2o8b2obobo$4bo12bo$2b
o3bo8bo3bo$bo3b2obo4bob2o3bo$o2bo2bob2o2b2obo2bo2bo$b3obo10bob3o$2bo3b
2o6b2o3bo$2bob3o8b3obo$4b3o8b3o$o20bo$2o18b2o2$3b2obo8bob2o$2b5obo4bob
5o$b3o6b2o6b3o$2o3bob8obo3b2o$2o2bo2bo2b2o2bo2bo2b2o$5bo10bo2$5bobo6bo
bo$4b2ob2o4b2ob2o$3bo3bo6bo3bo$3b3obo6bob3o$7bo6bo$3b2o2b2o4b2o2b2o$3b
6o4b6o$3bo3bo6bo3bo$5b2o8b2o$4bo3b6o3bo$4bobo8bobo$6bo8bo2$5bob2o4b2ob
o$4b3obob2obob3o$4bo3b6o3bo$5b4o4b4o$3b2obo8bob2o2$3b3o10b3o2$bo18bo$b
ob2ob2o6b2ob2obo$b2obob2o6b2obob2o$3bo4bo4bo4bo$3b2o2b2ob2ob2o2b2o$5b
2o2b4o2b2o$5b2o8b2o$6bo2bo2bo2bo$5bo3bo2bo3bo$2b4o2b2o2b2o2b4o$bobobo
2b2o2b2o2bobobo$5bobobo2bobobo$5b3o2b2o2b3o$3bobo10bobo$2b2o5bo2bo5b2o
$bo2bo4bo2bo4bo2bo$2bo5b2o2b2o5bo$3bobob2o4b2obobo$bob3ob2o4b2ob3obo$b
3o4b2o2b2o4b3o$4b3o8b3o$4bo12bo$4bobobo4bobobo$3bo4b2o2b2o4bo$3bo14bo$
2b2o14b2o$2b2obo4b2o4bob2o$b2o4b2o4b2o4b2o$b2o4bo6bo4b2o$7bo6bo$2b2o2b
10o2b2o$2b2o4b2o2b2o4b2o$3b4o8b4o$2bo6b4o6bo$6b3o4b3o$b2obo3bo4bo3bob
2o$2b2o2bob2o2b2obo2b2o$2b4o2b2o2b2o2b4o$2b4o3bo2bo3b4o$bobob2o8b2obob
o!

[dbell]

Note: This is a flawed result which I am posting anyway because I spent some effort working on it and it does handle a few more cases then the previous results. It is a nice example how far you can go in building something which is not as good as you thought.

I found a new diagonal fuse which can be used for a better diagonal c/4 convoy for period multiplications. This one only contains four still lives for each unit instead of the six the previous fuse used.

Code: Select all

#C A clean diagonal fuse useful for diagonal c/4 period multiplication.
#C The fuse is made of a repeating unit each of which is composed of a
#C boat, tub, block, and beehive.  The units can be repeated at any
#C interval from 15 cells or more (18 cells shown in this example).
#C The burning between adjacent units just consists of a single glider.
#C The fuse burns at a speed greater than c/4 depending on the size of
#C the gaps between the units.  The fuse can be ignited by a glider
#C travelling in two different directions as shown here.
#C David I. Bell, 28 March 2024
x = 69, y = 76
boo$obbo$boo3$8bo$7bobo$8bo3$8boo$8boobboo$12bobo$13bo5$19boo$18bobbo$
19boo3$26bo$25bobo$26bo3$26boo$26boobboo$30bobo$31bo5$37boo$36bobbo$
37boo3$44bo$43bobo$44bo3$44boo$44boobboo$48bobo$49bo5$55boo$54bobbo$
55boo3$62bo$61bobo$62bo3$62boo$62boobboo$66bobo$67bo6$63b3o$65bo$64bo!

Here is a reasonably packed convoy that builds one unit of the fuse. This also shows the use of the newer animation convoys.

Code: Select all

#C A diagonal c/4 convoy which builds one unit of a useful fuse.
#C This uses many glider duplicators, backward glider to ship
#C converters, and ship to sideways glider animators.  The
#C animation convoys are configured to emit 13 sideways gliders on
#C the correct paths and timings to synthesize a single fuse element. 
#C The unit consists of a boat, tub. block, and a beehive.
#C The minimum repeat time of this convoy is 68 generations.
#C This is an improvement in size and speed of similar convoys.
#C David I. Bell, 28 March 2024
x = 1386, y = 1280
8bo10boo35bo10boo$7b5o6boo35b5o6boo$7bobboo8bo7boo25bobboo8bo7boo$9boo
bo5boo6b3obo26boobo5boo6b3obo$18boo3boboo13boo24boo3boboo$12bobo6boo
17bobo17bobo6boo$17b3obo4bo13bo24b3obo4bo$14b3o3bo4bo17bo18b3o3bo4bo$
15bo7bo19boo3bo14bo7bo$15bo6bo20boobbobo13bo6bo$44boboobbo$18bo25boobo
b3o14bo$44bobo3boo$oo42bo5bo16b3o$boo27b3o17boo7boo5bo4bo$o29bo12boo
14bobo4boobob3o$31bo10boboo13bo6bobbo$33b3o5bo4bo15bo4bobbo$34b6oboo3b
o15boobbo3bo$37bo4bo19boo6bo$36bobo4boo3bo14b4o3bo$35b3o9boo14bo4b4o$
34bo12bobo7boo4bo7bo$7boo26bobo16boobo4bo5bo$7bobo26b5o9boobboo6b3obob
oo$7bo29boobo9boobboo6b3o4bo4boo$10bo40boo10boo9bobo$10boo33boo4b3ob4o
boo12bo5b3o$10boo33bobobbobobbo4b7o13bo17bo4boo$9boo34bo3boo3bob3obo3b
obo6boo7bo6boo3boo3bo3bobo3b3o$5booboo38b3obb3obboobo3boo6bobbo3bobo5b
ooboboobo6bo5bo$5bo4bo38b3o3boo5bo4b3obboo5bo8bo5bobooboobbobo4bo12boo
$5bob4o37boboboo3boobobbobo7bo3boobbobbobb3o4bo5booboo7bo9b3o$9boo36b
oobobo5bobob4o3b3obo3bobboobbobbobo6b6o3bo15b4obo$9boo38boo8bob3oboo3b
oo5bo4bobo7boobo3bo8booboob3obboo6boo$9boo18boo21bobo7boobo6bobbobb3ob
obbobb3obo3bobbobo4bobobooboo4boo5boo$11bo17bobo18boo9bo3b4o4boobo3bo
bboobbo3bo5bo3bobboo4bo8bobobboboo7boo$10boo10boo5bo19b4o3boo3boobbo8b
o5bo3bobbo6bo7boboob3o9b5obbo7boobo$10bo11bobo3boobbo18boboob4obbobbob
o6bo4bo8boo13b3o4boobbo4boo3bobboo5bo$11bo10bo11bo17bo6bo12boo3bobboob
o23boobboo6b3obo3bo4boobo$25bo3boo3b3o17bobbobo12bo10boo22boo11bo3boob
4ob3obo$25boo4boo4bo19bo14bobo8boo41bob3o$31b7o39bo46boo4bo3bo$32b4o
40b5o47bo7bo$39bo36bobboo54b3o$38b4o36boobo44bobo5bo$42bo83boo5boo4bo$
37b6o38bobo42bobo3bo6boo$31b3o3boboo82boobobobbobobo3boo$31bo5bobo34b
3o6b3o36booboob3obbo$32bobbooboo29bo4bobb3o4b3o37boboobobbo102boo46boo
$34bo14b3o16boo5boob5ob3o43bobo90b3o9bobo33b3o9bobo$37bo3bo7bo18bobo3b
3o4booboo48bo88bobb3o6bo9bo25bobb3o6bo9bo$35boo4bobo8bo27bobo50bo90bob
o16boobo25bobo16boobo$41bo7bo4bo15b3o6bobbo51bo94bo4boobbo3boobbo10bo
19bo4boobbo3boobbo$43b3o4b3o16b3o7bo147bo6boobboboobbo11boo17bo6boobbo
boobbo$45boboo5bobo14bobob4obbo147boboobo3b5o13bobo18boboobo3b5o$47bo
8bo16booboo160boo46boo$39boo3b3o10bo15b6o151bobb6o20boo17bobb6o$39bobo
bboo12bo172b7o21boobb3o13b7o$39bo4bo13bobo172b3o27boobo14b3o$42bobo
216bo4bo$38boo13bo6boo198b3o4bo$38boo12b5o4bobbo195bo5bo17boo$39boo5b
oo4bo6boo186boo12bobobboo8bo6boobobo$37bo8bobo11bo185boo27boo5boo4bo$
37b4o5bo5boboo6bobo183bo9b3o14bobo7bo3bo$29bobb3obo4bo5boo4bo4bobo189b
oo6booboo20boobo$28boobbob4o3bo5bobbo6b3o190boobboobbob3o15boo3b3o$28b
obobobobbo9bo6booboo194boobobboo17boo3b3o$32b3obboo10bobobobbo197bo4b
oo23boo$31boobo216boo3bo6b3o14b3o3bobo$32boboo15bo4bo194boo10bo9boo4b
5o3bo$52b4o10bo157bo26bo12bo6b3obobbobb3o$65boo156boo27booboo9boobboo
6boo4bo$59bo5bobo155bobo28bobo10bo11bo4boboo3bo$58boo211bobbo5bo9boo$
58bobo3boobobo156boo34bo4boo6bobobbobbo6bobo4boo$62bo7boo154boo33boo3b
oboboboo3b5o14boo22bo$61bo4bo5boo187bobobobbobo11bo7bobo4bo7boo3boob3o
3boo5boo$61bobbobb6o149boboo40bo4bobbooboo3bo6b3o4bobo6bobobbob4o3bobo
3boo$112b3o106b4o40bo4bobobboo5boboo3bobo3bobbo5bobbobbo4bobobo7bo$
112bobb3o103bo3boo37bobobo4boobobo6bo3boboobbob3o4boo5bo7b3o16b4o$74b
3o36bobo110bobbo34bob3o5boboboboo3booboob3o3boboobo6bo4bobboo9boo7bo5b
o$74bobboo39bo145bo9bobbo3bo5bobobbo5bobobo3bobbobob3oboobbobboo5bo4bo
6bo$73booboo38bo108boo3bo36b4o8bo3bo4boboo3bo3bo5bo3boob3obbo5bobbobob
obooboobo3boo$68boo48bobo104boo3bo34bo3boo5bobb3obo5boo3b3obboo3boo3b
oo6bo3bo4bo3b5obbobbo10boo$67boo4bobo35boobo6bo104bo39bo3b3o3bob3o3bo
7b3o8boob5o7boob5ob5obo3boboobo8bobo$69bobboboo34boo3bobbobbo48bo55bo
39boboobboo5bo11b3obobbobo4boboo14bo3boo5bobo3boobo7bobo$71boo13boo16b
3o4bobbobbo3bo36boo9boo15b3o38boo45boo4boboo5boboo3bo23bobbo12b3o3boob
o3bo$71boo4bo7boo17bo6bobbobbo3bo35boo3bo6bobo14bo82b5obo12b3o6bobbo
19bo3bo3bo11boobbo3b4obo$72bo4b3o6bobbo17bo3bo6bobo38boboo15b3o6bo83b
oo15bobo8boo22bo4bo7bo4bo3bobo5bo$78boo6boobo14bobbo8boo43b3o5bobo4boo
boo8boo146bobboo3bo3b3o$80boobobboo3bo13bobbo6b3o43bo6boobobobo14bo3b
oo$81bobo22bo5bo3bo46b3obo6boboo15boo148bobo5boo$81bobbo4bobobo14bobob
oobo48boo7bo22boo144bo8boobo$76bo3b3o10bo16boo52boo5boo17b6o146boo6bo
bbo$75boo16bobo18bo51b5o19bobboobo151boob5o$75bobobo97boo13bo4bo141boo
bboo3booboobboo$80boo13bobo13bobbo62bobo10bo6bo141bobb3obbo$75bobo99bo
11bo149bobo4b3o$74boobo10b3o6b3o80bo7boo3bo152boo$75bo7bo4bobb3o4b3o
79boobboobobb3o157boo$74bo7boo5boob5ob3o83bo5bo158bo$73b3o6bobo3b3o4b
ooboo84bobo3bo159boo$69bobbo3boo16bobo85boboo3bo$64b3ob3obb5o6b3o6bobb
o84booboo$64bo5bobbobo7b3o7bo87bobbo$65bo3bo4bo10bobob4obbo87bobo$67b
oobobbo13booboo91bobboo$68bobo16b6o$68bobo$101b3o53b3o$101bo55bo$94b3o
6bo54bo$94bo6bobo56boo$95bo4boob4o54bo$97b4ob5oboo$98boo7boobo47bo$
155b4obo$111bo43bo4bo$111bo44bo4boo$110bobboo43bobb3o$110boboobo46boo$
104boo4boo34bo12booboo$104bobobb3o22boo9boo13boboo$104bo3bo24boo3bo6bo
bo12bobo122b3o$107boo3bo9boo11boboo15b3o4boo122bo$107bo4bo9bobo12b3o5b
obo4booboo121b3o6bo$114bo7bo14bo6boobobobo126bo6bobo$108boo4boo7b3o13b
3obo6boboo125bo4boob4o$117boo4bob3o12boo7bo131b4ob5oboo$117b3obo4bo13b
oo5boo133boo7boobo$124boobbo13b5o186boo$117bo3bo6bobo164bo36boo3bo$
111b3obboobo175bo38boboo$111bo4boo12bobo161bobboo37b3o$113bobboo176bob
oobo36bo$111bobo18bobo153boo4boo42b3o$111boo12boobo6bo152bobobb3o35boo
bo4boo$111bobo10boo3bobbobbo152bo3bo38boboo3bobo$118b3o4bobbobbo3bo
155boo3bo9boo17boo4boboo3b3o875boobo7b3o$109boo7bo6bobbobbo3bo155bo4bo
9bobo15boo6bo5b3o875bo3bo6bo$106bobbooboo7bo3bo6bobo163bo7bo18bobo4boo
4bobo875bo4bo7bo7boo$101booboo3bobbo5bobbo8boo160boo4boo7b3o15b3o4boo
bboo880boo7bobo4boobo$100boo3bo13bobbo6b3o169boo4bob3o13boo6bobo884bob
o4b3obobboo$102bobobobb3o8bo5bo3bo170b3obo4bo16bobo3boo3bo887bo3boobb
oo$122boboboobo178boobbo20b4o885boob4oboo$104b3obbo14boo175bo3bo6bobo
14bobo891b7o$104boo22bo166b3obboobo27b4o$295bo4boo12bobo14b4o$125bobbo
168bobboo30boo$295bobo18bobo$295boo12boobo6bo$295bobo10boo3bobbobbo$
302b3o4bobbobbo3bo$293boo7bo6bobbobbo3bo$290bobbooboo7bo3bo6bobo$285b
ooboo3bobbo5bobbo8boo$219bo64boo3bo13bobbo6b3o$218boo66bobobobb3o8bo5b
o3bo$218bobo85boboboobo$211b3o9boo63b3obbo14boo$211bo9bob3o62boo22bo$
212bo6bo5b4o93boo892boo$214boobboo4boo83bobbo8boo892boo$215bo99boo5bo
894bo$219bo3boo5bo83boo5boo896boo$215boobobbob3ob3o86bo4bobobboo890bo$
214bobobo11bo87boo3boob4o$191b3o20bobobo3bo5b3o87boo10bo886bobbo$191bo
21bo4boboboo4b3o99bo38boobo841boobo$194bo18boobboobobboo99bo44bo3bo
839boo4bo$191bobbo11bo6boo5booboo7bo93boo3boo36bo4bo840bobobbo$192bobb
o9boo11bobbo3bo3boo100b4o36boo847bo$193bo11bobo10bobboob3ob3o99bo4bo
37bobo841bobbo$195bobo11bo5bobo3boo4b3o95bo4bo4bo882bobo$197boo9bo3b3o
4bobbo5boo38b3o53boo3boo37bo6boo841bobo$198bo9bo3boo5bo6boo40bo55bobo
3bo36b5o4bobbo839boo20boo$197boo15boobobobbo5bo40bo58b5o10bo17boo4bo6b
oo753bo10boo77bo20boo$196b3o7bo4boobbo5b3o3boo42boo55b4o10boo17bobo11b
o752b5o6boo93boo5bo$191boobooboo6b4obo8bobobobo3bo42bo55boo5bo6bobo16b
o5boboo6bobo748bobboo8bo7boo82boo5boo$191bo3boboo4boobobo5boo4bobo4bo
101bo3boo27boo4bo4bobo754boobo5boo6b3obo83bo4bobobboo$191bob3obbo4boob
o6b4o4boo5bo40bo29boo35bo6boboo15bobbo6b3o764boo3boboo89boo3boob4o$
196boo7bob4obob3o7boo40b4obo26boo37b3ob4obobo13bo6booboo759bobo6boo93b
oo10bo$195b3o10b3o55bo4bo28bo37boboobbo3bo15bobobobbo766b3obo4bo101bo
35boobo$205b3obooboo9boobo4bo35bo4boo5boo21bo34bobboo6b3o784b3o3bo4bo
96bo41bo3bo$206boo14bo3bo3boo37bobb3o4bobo16b6o28boo3bobo10bo15bo4bo
764bo7bo100boo3boo33bo4bo$194b3o20bobooboobboobbobo40boo4bo18bobbo29b
oo3bobbo10b3o14b4o765bo6bo106b4o33boo$194b3o19boobooboobb4o40booboo7bo
15b6o29bo3bo14bo896bo4bo34bobo$216bobo7bo44boboo6bobbo14bo3bo27boo3bo
15b3o784bo104bo4bo4bo$193boo29b3o44bobo7bobbo13boo31boo12boobo4boo888b
oo3boo34bo6boo$193bo28b5o45boo4b3obbo12boob3o43boboo3bobo888bobo3bo33b
5o4bobbo$222boobbo49bobobbo11boobbo3bo30boo5boo4boboo3b3o892b5o10bo14b
oo4bo6boo$222boobboboo45boob4o7b3ob3obo32bo7boo6bo5b3o892b4o10boo14bob
o11bo$218boobbobob3obo45boboo9bo5bobo28bobb5o5bobo4boo4bobo892boo5bo6b
obo13bo5boboo6bobo7bo$217boobb4o4bo46bobo4b3o4bo7boo21boobbobo4bobo4b
3o4boobboo896bo3boo24boo4bo4bobo10boo$219bo4b3o3bo46boo13bo28bobobo4bo
8boo6bobo905bo6boboo12bobbo6b3o5bo5bobo$227boobobo51bobo34bo3bo15bobo
3boo3bo903b3ob4obobo10bo6booboo5boo$224booboobobo53bobb4o34booboo15b4o
906boboobbo3bo12bobobobbo7bobo3boobobo$224b4o58booboo33bo18bobo910bobb
oo6b3o29bo7boo$227bo61bo5b3o26booboo16b4o902boo3bobo10bo12bo4bo10bo4bo
5boo$223boobboo58boo6bobb3o44b4o9boo768boo120boo3bobbo10b3o11b4o11bobb
obb6o$220boo4bobbo57bo8bobo47boo10bobo767bobo121bo3bo14bo$220bobbooboo
54boobo15bo49boo5bo769bo121boo3bo15b3o$220bobobb3o54bo3bo12bo51bobo3b
oobbo769bo118boo20boo$225bobo54bo3bo14bobo47bo11bo767boo139boo$225boo
57bobo7boobo6bo49bo3boo3b3o765boo118boo19boo$220boobb3o66boo3bobbobbo
49boo4boo4bo763boo117bo22boo$220bobobo60bobo6bobbobbo3bo55b7o39bo719b
ooboo114bobb5o19boo$220bo3boo68bobbobbo3bo56b4o40b5o716bo4bo108boobbob
o4bobo19boo$221boobobo60boo5bo6bobo64bo36bobboo716bob4o108bobobo4bo24b
o$221boobo64bo9boo66b4o36boobo719boo108bo3bo28bo50bo$221bobbobo63boo6b
3o6boo62bo758boo114booboo17boo53boo$221boo72bo3bo6boo58b6o38bobo717boo
111bo24bobobbobo47bobo$221boo4bo63boboboobo9bo51b3o3boboo762bo110boob
oo20bo3bobo$222boboobo65boo15boo48bo5bobo34b3o6b3o716boo138boobbo50boo
$220boobbobboo68bo11bo51bobbooboo29bo4bobb3o4b3o586boo127bo140bobo51b
oo$219b5o3bobo133bo14b3o16boo5boob5ob3o574b3o9bobo127bo133boo3boo$219b
o4bobbobbo63bobbo10bobbo25boo27bo3bo7bo18bobo3b3o4booboo575bobb3o6bo9b
o252boobob3o51boo$223bobbobbo75boobo28bobo24boo4bobo8bo27bobo579bobo
16boobo253bobo53bobbo$230bo73boo4bo26bo32bo7bo4bo15b3o6bobbo584bo4boo
bbo3boobbo308boobo$225boo3boo74bobobbo6bo21bo31b3o4b3o16b3o7bo585bo6b
oobboboobbo252boo33b3o16b3o$225booboboo50boo27bo5boo18bobb3o31boboo5bo
bo14bobob4obbo585boboobo3b5o246b3o5boo3bobo27bo18bo$220boo3bobbobo50b
oo3bo21bobbo5bobo16boobo36bo8bo16booboo598boo249bo6bobo36bo11boo3bo$
219boo6boboo52boboo22bobo25boob3o25boo3b3o10bo15b6o589bobb6o251bo4boo
35bobbo10boo5boboo$221bobboob4o54b3o21bobo8boo46bobobboo12bo610b7o158b
oo94b4obo14bo20bobbo11bo5b3o$224boo3boo54bo24boo7b4o13bo31bo4bo13bobo
610b3o160bobo94boo16b5o18bo15bob4o$224bobo60b3o20bo5bobo16boboobo30bob
o782boo5bo114bobboo20bobobboo6bobboo$225boo53boobo4boo24b3obbo12boboob
obo27boo13bo6boo765bobo3boobbo113boobo21boobobbo3boo$224boo54boboo3bob
o24bo3boo8boob3oboboo28boo12b5o4bobbo762bo11bo142bobob3o$274boo4boboo
3b3o24bobo10boo7boo30boo5boo4bo6boo769bo3boo3b3o112bobo25bobo$273boo6b
o5b3o25boo4boo6boboo3boo28bo8bobo11bo769boo4boo4bo134bobo$226b4o44bobo
4boo4bobo25bo6boo42b4o5bo5boboo6bobo771b7o36bo67b3o6b3o$225bo5bo42b3o
4boobboo35boo5bo28bobb3obo4bo5boo4bo4bobo776b4o37b5o59bo4bobb3o4b3o28b
oo$224bo6bo42boo6bobo39bobbobbo26boobbob4o3bo5bobbo6b3o784bo33bobboo
58boo5boob5ob3o28bobo$223boobo3boo44bobo3boo3bo36b4obbo26bobobobobbo9b
o6booboo784b4o33boobo57bobo3b3o4booboo29bo$222bobbobbo10boo41b4o41bo6b
oo25b3obboo10bobobobbo790bo105bobo35bo$225boboobo8bobo36bobo43boo7boo
3bo21boobo807b6o35bobo57b3o6bobbo35boo$222bobo3boobo7bobo38b4o42bo8bob
oo22boboo15bo4bo779b3o3boboo96b3o7bo38boo$224b3o3boobo3bo42b4o37bo15b
3o41b4o10bo595bo173bo5bobo31b3o6b3o56bobob4obbo35boo27bo$228boobbo3b4o
bo39boo37b5o12bo56boo594boo174bobbooboo26bo4bobb3o4b3o57booboo35booboo
27boo$224bo4bo3bobo5bo78bobboo14b3o46bo5bobo593bobo175bo14b3o13boo5boo
b5ob3o57b6o34bo4bo26bobo$225bobboo3bo3b3o92boobo4boo45boo782bo3bo7bo
15bobo3b3o4booboo98bob4o$322boobbo5boboo3bobo45bobo3boobobo594boo174b
oo4bobo8bo24bobo10b3o92boo6b3o17boboboo$231bobo5boo91boboo3b3o49bo7boo
592boo180bo7bo4bo12b3o6bobbo10bo94boo6bo19boobboo$230bo8boobo81bobo6bo
5b3o48bo4bo5boo774b3o4b3o13b3o7bo6b3o6bo92boo7bo17bobbobo$230boo6bobbo
91boo4bobo48bobbobb6o587boboo186boboo5bobo11bobob4obbo4bo6bobo94bo8boo
$236boob6o81b3o4boobboo102b3o544b4o189bo8bo13booboo9bo4boob4o90boo7boo
bbo$227boobboo3booboo3bo89bobo8boo94bobb3o541bo3boo179boo3b3o10bo12b6o
10b4ob5oboo87bo7bo4bo11b3obobo$227bobb3obbo92bobo3boo3bo5bobo55b3o36bo
bo548bobbo15bo160bobobboo12bo28boo7boobo87bo3b4o16boobbo$227bobo4b3o
97b4o7bo57bobboo39bo563boo160bo4bo13bobo128boobboo9boob3o5bo$234boo94b
obo15bo53booboo38bo546boo3bo7bo5bobo162bobo147bo3boo6bo3bo3boo$238bo
93b4o12boo47boo48bobo542boo3bo6boo166boo20boo129boo11boboobobbo$237bob
o92b4o12boo46boo4bobo35boobo6bo542bo10bobo3boobobo156boo21bobbo126bo6b
oo$237bobo93boo12boo27bo21bobboboo34boo3bobbobbo444bo97bo14bo7boo155b
oo151bo6bo$343booboo27boo23boo13boo16b3o4bobbobbo3bo432boo9boo98boo11b
o4bo5boo151bo22boobbo139b3o$343bo4bo26bobo22boo4bo7boo17bo6bobbobbo3bo
431boo3bo6bobo110bobbobb6o152b4o19bo139boob4o$343bob4o52bo4b3o6bobbo
17bo3bo6bobo434boboo15b3o149b3o105bobb3obo4bo158boo8boobo$320boobo23b
oo6b3o17boboboo26boo6boobo14bobbo8boo439b3o5bobo4booboo149bobb3o101boo
bbob4o3bo19b3o137bobbo5bo3bo$320bo3bo22boo6bo19boobboo28boobobboo3bo
13bobbo6b3o439bo6boobobobo119b3o33bobo103bobobobobbo172bo4bo$320bo4bo
21boo7bo17bobbobo30bobo22bo5bo3bo442b3obo6boboo117bobboo36bo104b3obboo
18bo4boo47b3o87bobo8boo$322boo25bo8boo50bobbo4bobobo14boboboobo444boo
7bo120booboo35bo105boobo21boo53bo84b3o15bobo$324bobo21boo7boobbo43bo3b
3o10bo16boo448boo5boo116boo45bobo102boboo20bobobboo49bo83bobboo$348bo
7bo4bo11b3obobo24boo16bobo18bo447b5o117boo4bobo32boobo6bo129b3o51boo
81bobobbo6bo6boo10boo$319bo6boo21bo3b4o16boobbo26bobobo606bobboboo31b
oo3bobbobbo128bobbo52bo83boobo5b5o4bobbo6boo3bo$318b5o4bobbo20boobboo
9boob3o5bo31boo13bobo13bobbo573boo13boo13b3o4bobbobbo3bo123boo144boo6b
o6boo12boboo$312boo4bo6boo27bo3boo6bo3bo3boo28bobo610boo4bo7boo14bo6bo
bbobbo3bo123bobobboo51boo86bo15bo14b3o$312bobo11bo26boo11boboobobbo28b
oobo10b3o6b3o589bo4b3o6bobbo14bo3bo6bobo9boo113bobboboo51boo88boo4bob
oo6bobo10bo$312bo5boboo6bobo22bo6boo42bo7bo4bobb3o4b3o594boo6boobo11bo
bbo8boo11boo118boo51bobo95bo4bobo16b3o$313boo4bo4bobo27bo6bo41bo7boo5b
oob5ob3o596boobobboo3bo10bobbo6b3o5boo5bo113bo3b3o28boo17booboo91bobo
7b3o10boobo4boo$313bobbo6b3o40b3o33b3o6bobo3b3o4booboo598bobo19bo5bo3b
o5boo5boo105boo5boo3boo28boo17booboobo97booboo11boboo3bobo$313bo6boob
oo37boob4o29bobbo3boo16bobo601bobbo4bobobo11boboboobo8bo4bobobboo99boo
5bo36bobo11boo3boboo94bobobobbo7boo4boboo3b3o$315bobobobbo39boo8boobo
17b3ob3obb5o6b3o6bobbo596bo3b3o10bo13boo14boo3boob4o99bo4bobo34b3o11bo
bobbobbo108boo6bo5b3o$363bobbo5bo3bo16bo5bobbobo7b3o7bo598boo16bobo15b
o11boo10bo100boobbo35boo12bo7bo96bo4bo7bobo4boo4bobo5boobo$317bo4bo49b
o4bo16bo3bo4bo10bobob4obbo596bobobo55bo100boo16b3o21bobo3bo10bobbo97b
4o8b3o4boobboo8bo3bo$318b4o41bobo8boo20boobobbo13booboo605boo13bobo10b
obbo17bo124bobb3o24bo7b4obo110boo6bobo10bo4bo$358b3o15bobo18bobo16b6o
599bobo53boo122bobo22bobobo7boo116bobo3boo3bo9boo$358bobboo34bobo620b
oobo19b3o160bo21b3ob3obo125b4o13bobo$359bobobbo6bo6boo50b3o449b3o136bo
22b3o157bo23b3o5bobbo118bobo$361boobo5b5o4bobbo47bo451bo137bo20b6o159b
obo20boo8bo120b4o10bo6boo$362boo6bo6boo44b3o6bo450bo135b3o177boobo6bo
150b4o9b5o4bobbo$362bo15bo44bo6bobo452boo128bobbo3boo20bo153boo3bobbo
bbo30bo120boo4boo4bo6boo$364boo4boboo6bobo41bo4boob4o450bo123b3ob3obb
5o20bo147b3o4bobbobbo3bo29boo126bobo11bo$371bo4bobo47b4ob5oboo571bo5bo
bbobo22bo147bo6bobbobbo3bo29bobo125bo5boboo6bobo$365bobo7b3o6bo42boo7b
oobo443bo127bo3bo4bo73boo99bo3bo6bobo159boo4bo4bobo$372booboo6boo93boo
400b4obo127boobobbo18b3o3boo47boo97bobbo8boo36boo124bobbo6b3o$367bobob
obbo8bobo54bo36boo3bo397bo4bo128bobo21bo56bo97bobbo6b3o36boo124bo6boob
oo$440bo38boboo398bo4boo126bobo22bobboo53boo95bo5bo3bo129b3o33bobobobb
o$369bo4bo11boo51bobboo37b3o399bobb3o153booboo49bo99boboboobo34boboo
27b3o62bobb3o$370b4o12boo51boboobo36bo405boo148bo4bo155boo37b4o28bo65b
obo34bo4bo$433boo4boo42b3o398booboo147b4oboo52bobbo103bo34bo3boo27bo
69bo32b4o$382boboo27b3o17bobobb3o35boobo4boo399boboo147bo57boo146bobbo
4boo21boo63bo$381b4o28bo19bo3bo38boboo3bobo399bobo52b3o94boo3bo50bo
105bobbo46boo18b3obbo65bobo$381bo3boo27bo21boo3bo9boo17boo4boboo3b3o
299boobo7b3o87boo52bo95b6o28boo17boobbobo145boo3bo4bo16bo74bo$359bo26b
obbo4boo21boo17bo4bo9bobo15boo6bo5b3o299bo3bo6bo144bo85boo6boo33bobo
16bobobbo146boo3bo22bobbobo65bobbo$358b5o30boo18b3obbo24bo7bo18bobo4b
oo4bobo299bo4bo7bo7boo135boo82bobo3boobbo32bo14bo3bobo150bo9b3o17bobo
65bobbo$358bobboo22boo3bo4bo16bo24boo4boo7b3o15b3o4boobboo304boo7bobo
4boobo137bo82bo5b3o35boo11boo4boo150bo7bob4o12bo71bobbo$360boobo21boo
3bo22bobbobo27boo4bob3o13boo6bobo308bobo4b3obobboo225bo40bobbo9bobo3b
oo151boo3b6o13boobobo$386bo9b3o17bobo27b3obo4bo16bobo3boo3bo311bo3boo
bboo136bo29boo57boo17boo20bo17b3o154boo4boo7boboo3bo3bo68bobo$363bobo
20bo7bob4o12bo40boobbo20b4o309boob4oboo137b4obo26boo76boo3bo19bobob3o
7bo3bo154boo4bo7boobooboboo73bo$387boo3b6o13boobobo29bo3bo6bobo14bobo
315b7o139bo4bo28bo77boboo27bo4boobbo156bo7bo4bobo3bobo$356b3o6b3o22boo
4boo7boboo3bo3bo23b3obboobo27b4o459bo4boo5boo21bo77b3o20bo9bo161bo7bo
13bo67boo4bo$351bo4bobb3o4b3o21boo4bo7boobooboboo26bo4boo12bobo14b4o
461bobb3o4bobo16b6o76bo23b4oboob4o160boo4bo81boo4boo$350boo5boob5ob3o
22bo7bo4bobo3bobo29bobboo30boo466boo4bo18bobbo80b3o29boo168bo4bobo74bo
bboboo$350bobo3b3o4booboo23bo7bo13bo26bobo18bobo478booboo7bo15b6o71boo
bo4boo200boboobo77booboo$362bobo27boo4bo41boo12boobo6bo478boboo6bobbo
14bo3bo71boboo3bobo200boo8bo$352b3o6bobbo35bo4bobo32bobo10boo3bobbobbo
478bobo7bobbo13boo69boo4boboo3b3o30b3o167bobboo4b5o63b3obbo$351b3o7bo
39boboobo40b3o4bobbobbo3bo479boo4b3obbo12boob3o66boo6bo5b3o30bo170boo
6bobboo63bobb3obo$353bobob4obbo37boo8bo26boo7bo6bobbobbo3bo483bobobbo
11boobbo3bo67bobo4boo4bobo31bo168b3o8boobo63b6o$355booboo41bobboo4b5o
20bobbooboo7bo3bo6bobo483boob4o7b3ob3obo71b3o4boobboo36boo161boobbo$
355b6o41boo6bobboo15booboo3bobbo5bobbo8boo487boboo9bo5bobo71boo6bobo
39bo160boobboo13bobo52bo6boo$401b3o8boobo13boo3bo13bobbo6b3o487bobo4b
3o4bo7boo71bobo3boo3bo199bobboo25boobo37boo5bobbo$397boobbo29bobobobb
3o8bo5bo3bo489boo13bo84b4o35bo29boo136bo7b3o6b3o8bo3bo36bobo3boobo$
396boobboo13bobo33boboboobo497bobo86bobo37b4obo26boo137boo6bobb3o4b3o
7bo4bo39bo$398bobboo30b3obbo14boo503bobb4o19bo62b4o34bo4bo28bo145boob
5ob3o9boo40bo$400bo7b3o6b3o13boo22bo500booboo20boo62b4o35bo4boo5boo21b
o135b3o4b3o4booboo12bobo37bobbo$400boo6bobb3o4b3o46boo316boo174bo21bob
o62boo38bobb3o4bobo16b6o136bo10bobo$409boob5ob3o33bobbo8boo316boo173b
oo131boo4bo18bobbo138b3o7bobbo10bo6boo$401b3o4b3o4booboo40boo5bo318bo
172bo26boo101booboo7bo15b6o138bo7bo12b5o4bobbo$403bo10bobo42boo5boo
320boo164boobo28boo102boboo6bobbo14bo3bo138b3ob4obbo4boo4bo6boo$403b3o
7bobbo44bo4bobobboo314bo166bo3bo131bobo7bobbo13boo144booboo8bobo11bo$
405bo7bo7b3o39boo3boob4o479bo3bo25boo105boo4b3obbo12boob3o142b6o7bo5bo
boo6bobo3bo$405b3ob4obbo5bo41boo10bo310bobbo166bobo24bobbo108bobobbo
11boobbo3bo156boo4bo4bobo6b5o$407booboo10bo52bo38boobo265boobo195boobo
108boob4o7b3ob3obo160bobbo6b3o7bobboo$407b6o11boo43bo44bo3bo263boo4bo
168bobo18b3o114boboo9bo5bobo160bo6booboo10boobo$425bo45boo3boo36bo4bo
264bobobbo188bo116bobo4b3o4bo7boo160bobobobbo$476b4o36boo271bo49boo
118boo13boo3bo116boo13bo190bobo$422bo29boo21bo4bo37bobo265bobbo48boo
121bo11boo5boboo119bobo175bo4bo$419b4obo26boo17bo4bo4bo306bobo50bo121b
oo11bo5b3o11boobo106bobb4o170b4o9b3o6b3o$419bo4bo28bo15boo3boo37bo6boo
265bobo52boo133bob4o12bo3bo105booboo180bo4bobb3o4b3o$420bo4boo5boo21bo
13bobo3bo36b5o4bobbo263boo51bo121bobobboo6bobboo14bo4bo107bo5b3o172boo
5boob5ob3o$396b3o23bobb3o4bobo16b6o16b5o10bo17boo4bo6boo187bo10boo67bo
176boobobbo3boo20boo107boo6bobb3o169bobo3b3o4booboo$396bobb3o24boo4bo
18bobbo18b4o10boo17bobo11bo186b5o6boo120bobbo25boo100bobob3o21bobo104b
o8bobo183bobo$397bobo23booboo7bo15b6o16boo5bo6bobo16bo5boboo6bobo182bo
bboo8bo7boo107boobo28bobo99bobo127boobo15bo170b3o6bobbo$402bo21boboo6b
obbo14bo3bo17bo3boo27boo4bo4bobo188boobo5boo6b3obo105boo4bo26bo96bobo
25bo6boo98bo3bo12bo171b3o7bo$400bo23bobo7bobbo13boo28bo6boboo15bobbo6b
3o198boo3boboo111bobobbo6bo21bo81boo37b5o4bobbo95bo3bo14bobo10bo123boo
33bobob4obbo$402bobo20boo4b3obbo12boob3o27b3ob4obobo13bo6booboo193bobo
6boo120bo5boo18bobb3o78boo3bo28boo4bo6boo101bobo7boobo6bo8b5o119boo3bo
32booboo$395boobo6bo23bobobbo11boobbo3bo28boboobbo3bo15bobobobbo200b3o
bo4bo113bobbo5bobo16boobo83boboo28bobo11bo110boo3bobbobbo8bobboo121bob
oo32b6o$394boo3bobbobbo22boob4o7b3ob3obo31bobboo6b3o218b3o3bo4bo115bob
o25boob3o82b3o27bo5boboo6bobo98bobo6bobbobbo3bo10boobo122b3o$388b3o4bo
bbobbo3bo23boboo9bo5bobo26boo3bobo10bo15bo4bo198bo7bo117bobo8boo103bo
30boo4bo4bobo111bobbobbo3bo136bo$388bo6bobbobbo3bo23bobo4b3o4bo7boo23b
oo3bobbo10b3o14b4o199bo6bo119boo7b4o13bo90b3o26bobbo6b3o105boo5bo6bobo
14bobo122b3o$391bo3bo6bobo25boo13bo32bo3bo14bo344bo5bobo16boboobo79boo
bo4boo26bo6booboo108bo9boo143boo$388bobbo8boo35bobo36boo3bo15b3o218bo
127b3obbo12boboobobo80boboo3bobo28bobobobbo111boo6b3o10b3o6b3o121boo$
389bobbo6b3o37bobb4o30boo12boobo4boo346bo3boo8boob3oboboo75boo4boboo3b
3o42boo108bo3bo6bo4bobb3o4b3o120boo$390bo5bo3bo38booboo46boboo3bobo
346bobo10boo7boo75boo6bo5b3o30bo4bo5boo105boboboobo6boo5boob5ob3o120b
oo$392boboboobo42bo5b3o26boo5boo4boboo3b3o347boo4boo6boboo3boo76bobo4b
oo4bobo31b4o8bo106boo10bobo3b3o4booboo121boo$394boo44boo6bobb3o21bo7b
oo6bo5b3o347bo6boo90b3o4boobboo48boo107bo19bobo6b3o116boo$398bo41bo8bo
bo19bobb5o5bobo4boo4bobo354boo5bo84boo6bobo49bo119b3o6bobbo6bobb3o114b
o$435boobo15bo11boobbobo4bobo4b3o4boobboo359bobbobbo85bobo3boo3bo153bo
bbo8b3o7bo10bobo115bo$395bobbo36bo3bo12bo13bobobo4bo8boo6bobo361b4obbo
18b3o70b4o47bobbo25boo91bobob4obbo13bo107boo$435bo3bo14bobo9bo3bo15bob
o3boo3bo361bo21bo68bobo49boobo28bobo92booboo15bo109bobobbobo$437bobo7b
oobo6bo14booboo15b4o360boo24bo69b4o45boo4bo26bo94b6o16bobo105bo3bobo$
446boo3bobbobbo11bo18bobo367bo25boo66b4o47bobobbo6bo21bo106boobo6bo
107boobbo$438bobo6bobbobbo3bo11booboo16b4o359bo31bo67boo3boo48bo5boo
18bobb3o103boo3bobbobbo108bobo$447bobbobbo3bo32b4o9boo202boo143b5o101b
obo44bobbo5bobo16boobo100b3o4bobbobbo3bo102boo3boo$440boo5bo6bobo34boo
10bobo201bobo142bobboo25boo74bo47bobo25boob3o97bo6bobbobbo3bo101boobob
3o$442bo9boo42boo5bo203bo174boo77bo44bobo8boo121bo3bo6bobo104bobo$443b
oo6b3o6boo34bobo3boobbo203bo143boobbo22bobo77boo20bo23boo7b4o13bo103bo
bbo8boo$448bo3bo6boo35bo11bo201boo165booboo79boo19b5o20bo5bobo16boboob
o100bobbo6b3o104boo$444boboboobo9bo37bo3boo3b3o199boo144bobo17booboobo
77boo20bobboo24b3obbo12boboobobo68boobo30bo5bo3bo97b3o5boo3bobo$446boo
15boo34boo4boo4bo197boo161boo3boboo75booboo23boobo23bo3boo8boob3oboboo
69bo3bo31boboboobo98bo6bobo$450bo11bo42b7o39bo153booboo148b3o11bobobbo
bbo75bo4bo49bobo10boo7boo70bo4bo32boo103bo4boo$506b4o40b5o150bo4bo161b
o7bo13bo61bob4o25bobo22boo4boo6boboo3boo72boo38bo102b4obo$447bobbo10bo
bbo25boo21bo36bobboo150bob4o149bobo3bo10bobbo12b5o62boo50bo6boo88bobo
139boo$458boobo28bobo19b4o36boobo153boo155bo7b4obo13bobboo62boo27b3o
27boo5bo117bobbo$457boo4bo26bo25bo192boo151bobobo7boo19boobo61boo28b3o
28bobbobbo83boo$459bobobbo6bo21bo17b6o38bobo151boo153b3ob3obo89bo24b6o
28b4obbo84bobbo$435boo27bo5boo18bobb3o9b3o3boboo196bo152b3o5bobbo22bob
o60boo61bo6boo$434boo3bo21bobbo5bobo16boobo12bo5bobo34b3o6b3o150boo
153boo8bo85bo28bo30boo7boo3bo75boobbo$436boboo22bobo25boob3o10bobboob
oo29bo4bobb3o4b3o90boo57bo141boobo35b3o6b3o59bo27bo32bo8boboo75bo$438b
3o21bobo8boo33bo14b3o16boo5boob5ob3o78b3o9bobo57bo140bo3bo29bo4bobb3o
4b3o86bo27bo15b3o$438bo24boo7b4o13bo21bo3bo7bo18bobo3b3o4booboo79bobb
3o6bo9bo190bo4bo27boo5boob5ob3o113b5o12bo77b3o$440b3o20bo5bobo16boboob
o15boo4bobo8bo27bobo83bobo16boobo191boo29bobo3b3o4booboo81b3o3boo25bo
bboo14b3o$433boobo4boo24b3obbo12boboobobo22bo7bo4bo15b3o6bobbo88bo4boo
bbo3boobbo193bobo38bobo84bo44boobo4boo9b3o57bo4boo$433boboo3bobo24bo3b
oo8boob3oboboo25b3o4b3o16b3o7bo89bo6boobboboobbo226b3o6bobbo85bobboo
29boobbo5boboo3bobo9bobb3o53boo$427boo4boboo3b3o24bobo10boo7boo28boboo
5bobo14bobob4obbo89boboobo3b5o192bo6boo26b3o7bo91booboo36boboo3b3o10bo
bo55bobobboo$426boo6bo5b3o25boo4boo6boboo3boo30bo8bo16booboo102boo194b
5o4bobbo25bobob4obbo84bo4bo32bobo6bo5b3o15bo56b3o$427bobo4boo4bobo25bo
6boo36boo3b3o10bo15b6o93bobb6o189boo4bo6boo31booboo6b3o78b4oboo41boo4b
obo13bo57bobbo$427b3o4boobboo35boo5bo30bobobboo12bo114b7o190bobo11bo
31b6o5bo80bo40b3o4boobboo18bobo48boo$427boo6bobo39bobbobbo29bo4bo13bob
o114b3o192bo5boboo6bobo39bo80boo3bo42bobo13boobo6bo47bobobboo$429bobo
3boo3bo36b4obbo32bobo326boo4bo4bobo45boo76b6o37bobo3boo3bo9boo3bobbobb
o47bobboboo$435b4o41bo6boo23boo13bo6boo309bobbo6b3o47bo67boo6boo48b4o
5b3o4bobbobbo3bo51boo$431bobo43boo7boo3bo20boo12b5o4bobbo306bo6booboo
116bobo3boobbo43bobo10bo6bobbobbo3bo46bo3b3o$433b4o42bo8boboo21boo5boo
4bo6boo312bobobobbo47bo29boo39bo5b3o47b4o10bo3bo6bobo5boo32boo5boo3boo
$433b4o37bo15b3o18bo8bobo11bo364b4obo26boo43bo52b4o7bobbo8boo7boo3bo
28boo5bo$434boo37b5o12bo20b4o5bo5boboo6bobo310bo4bo44bo4bo28bo42boo52b
oo9bobbo6b3o9boboo30bo4bobo$473bobboo14b3o8bobb3obo4bo5boo4bo4bobo215b
oo98b4o46bo4boo5boo21bo106bo5bo3bo12b3o31boobbo$485boobo4boo7boobbob4o
3bo5bobbo6b3o216bobo104bo44bobb3o4bobo16b6o107boboboobo13bo33boo$475b
oobbo5boboo3bobo7bobobobobbo9bo6booboo210boo5bo105boo48boo4bo18bobbo
111boo19b3o$485boboo3b3o11b3obboo10bobobobbo212bobo3boobbo102bobo44boo
boo7bo15b6o113bo9boobo4boo$477bobo6bo5b3o10boobo234bo11bo148boboo6bobb
o14bo3bo123boboo3bobo$486boo4bobo11boboo15bo4bo215bo3boo3b3o101boo43bo
bo7bobbo13boo114bobbo3boo4boboo3b3o$479b3o4boobboo34b4o10bo99bo105boo
4boo4bo100boo19b3o22boo4b3obbo12boob3o118boo6bo5b3o$487bobo49boo98boo
111b7o36bo84bobb3o23bobobbo11boobbo3bo119bobo4boo4bobo$481bobo3boo3bo
5b3o32bo5bobo97bobo111b4o37b5o56boboo22bobo24boob4o7b3ob3obo123b3o4boo
bboo$487b4o7bo33boo226bo33bobboo55b4o28bo22boboo9bo5bobo123boo6bobo$
483bobo13bo32bobo3boobobo98boo115b4o33boobo54bo3boo24bo24bobo4b3o4bo7b
oo89bo33bobo3boo3bo$485b4o12boo33bo7boo96boo119bo95bobbo23bobo21boo13b
o95b5o36b4o$485b4o13bo32bo4bo5boo210b6o35bobo87bo27bobo101bobboo32bobo
$486boo47bobbobb6o91boboo110b3o3boboo96boo3bo22bobbo29bobb4o97boobo33b
4o$499bo29boo106b4o111bo5bobo31b3o6b3o54boo3bo22bobbo29booboo136b4o$
496b4obo26boo107bo3boo110bobbooboo26bo4bobb3o4b3o54bo26bobbo32bo5b3o
95bobo32boo$496bo4bo28bo17b3o91bobbo109bo14b3o13boo5boob5ob3o54bo60boo
6bobb3o$473boobo20bo4boo5boo21bo15bobboo205bo3bo7bo15bobo3b3o4booboo
56boo25bobo30bo8bobo96b3o$473bo3bo21bobb3o4bobo16b6o13booboo89boo3bo
109boo4bobo8bo24bobo10b3o75bo25boobo15bo94b3o$473bo4bo24boo4bo18bobbo
10boo39boo56boo3bo115bo7bo4bo12b3o6bobbo10bo103bo3bo12bo93b6o$475boo
23booboo7bo15b6o7boo4bobo21b3o9bobo56bo121b3o4b3o13b3o7bo6b3o6bo69boo
4bo25bo3bo14bobo10bo$477bobo21boboo6bobbo14bo3bo9bobboboo21bobb3o6bo9b
o48bo123boboo5bobo11bobob4obbo4bo6bobo68boo4boo27bobo7boobo6bo8b5o78bo
$501bobo7bobbo13boo15boo13boo10bobo16boobo48boo123bo8bo13booboo9bo4boo
b4o67bobboboo35boo3bobbobbo8bobboo78bo$472bo6boo21boo4b3obbo12boob3o
13boo4bo7boo16bo4boobbo3boobbo165boo3b3o10bo12b6o10b4ob5oboo66booboo
27bobo6bobbobbo3bo10boobo77bo$471b5o4bobbo22bobobbo11boobbo3bo14bo4b3o
6bobbo11bo6boobboboobbo167bobobboo12bo28boo7boobo106bobbobbo3bo$465boo
4bo6boo25boob4o7b3ob3obo24boo6boobo13boboobo3b5o169bo4bo13bobo98b3obbo
34boo5bo6bobo14bobo69b3o3boo$465bobo11bo26boboo9bo5bobo26boobobboo3bo
20boo83bo91bobo114bobb3obo34bo9boo89bo$465bo5boboo6bobo22bobo4b3o4bo7b
oo25bobo20bobb6o83boo87boo20boo98b6o36boo6b3o10b3o6b3o68bobboo$466boo
4bo4bobo27boo13bo32bobbo4bobobo11b7o78bo5bobo86boo21bobbo142bo3bo6bo4b
obb3o4b3o70booboo$466bobbo6b3o35bobo33bo3b3o10bo13b3o79boo95boo110bo6b
oo43boboboobo6boo5boob5ob3o65bo4bo$466bo6booboo38bobb4o26boo16bobo93bo
bo3boobobo83bo22boobbo85boo5bobbo44boo10bobo3b3o4booboo65b4oboo$468bob
obobbo40booboo28bobobo113bo7boo81b4o19bo89bobo3boobo49bo19bobo6b3o59bo
$519bo5b3o26boo13bobo94bo4bo5boo71bobb3obo4bo112bo64b3o6bobbo6bobb3o
57boo3bo$470bo4bo41boo6bobb3o18bobo114bobbobb6o71boobbob4o3bo19b3o89bo
52bobbo8b3o7bo10bobo58b6o$471b4o42bo8bobo19boobo10b3o6b3o140b3o32bobob
obobbo115bobbo63bobob4obbo13bo46boo6boo$512boobo15bo17bo7bo4bobb3o4b3o
139bobb3o33b3obboo18bo4boo47b3o108booboo15bo48bobo3boobbo$512bo3bo12bo
18bo7boo5boob5ob3o104b3o33bobo34boobo21boo53bo110b6o16bobo44bo5b3o$
512bo3bo14bobo13b3o6bobo3b3o4booboo105bobboo36bo32boboo20bobobboo49bo
124boobo6bo46bo$514bobo7boobo6bo8bobbo3boo16bobo107booboo35bo62b3o51b
oo120boo3bobbobbo46boo$523boo3bobbobbo3b3ob3obb5o6b3o6bobbo102boo45bob
o57bobbo52bo114b3o4bobbobbo3bo$515bobo6bobbobbo3bo3bo5bobbobo7b3o7bo
104boo4bobo32boobo6bo51boo174bo6bobbobbo3bo$524bobbobbo3bo4bo3bo4bo10b
obob4obbo104bobboboo31boo3bobbobbo51bobobboo51boo119bo3bo6bobo$517boo
5bo6bobo7boobobbo13booboo110boo13boo13b3o4bobbobbo3bo51bobboboo51boo
116bobbo8boo$519bo9boo11bobo16b6o109boo4bo7boo14bo6bobbobbo3bo55boo51b
obo117bobbo6b3o$520boo6b3o11bobo132bo4b3o6bobbo14bo3bo6bobo9boo40bo3b
3o28boo17booboo86boobo30bo5bo3bo$525bo3bo153boo6boobo11bobbo8boo11boo
33boo5boo3boo28boo17booboobo85bo3bo31boboboobo$521boboboobo156boobobb
oo3bo10bobbo6b3o5boo5bo32boo5bo36bobo11boo3boboo87bo4bo32boo$510boo11b
oo161bobo19bo5bo3bo5boo5boo34bo4bobo34b3o11bobobbobbo89boo38bo$509boo
16bo158bobbo4bobobo11boboboobo8bo4bobobboo31boobbo35boo12bo7bo91bobo$
510bobo168bo3b3o10bo13boo14boo3boob4o29boo16b3o21bobo3bo10bobbo126bobb
o$510b3o11bobbo152boo16bobo15bo11boo10bo46bobb3o24bo7b4obo94boo$510boo
168bobobo55bo47bobo22bobobo7boo99bobbo$512bobo170boo13bobo10bobbo17bo
58bo21b3ob3obo$680bobo53boo53bo23b3o5bobbo98boobbo$514bobo162boobo19b
3o88bobo20boo8bo98bo$516b3o161bo22b3o80boobo6bo$516bo162bo20b6o79boo3b
obbobbo30bo98b3o$515bo162b3o98b3o4bobbobbo3bo29boo$510boboobo4bo153bo
bbo3boo20bo75bo6bobbobbo3bo29bobo93bo4boo$509booboobo153b3ob3obb5o20bo
78bo3bo6bobo125boo$509bobo4bo152bo5bobbobo22bo75bobbo8boo36boo90bobobb
oo$514boo154bo3bo4bo73boo25bobbo6b3o36boo94b3o$514bo3bo153boobobbo18b
3o3boo47boo27bo5bo3bo132bobbo$513bo3bo155bobo21bo56bo28boboboobo34bob
oo27b3o60boo$673bobo22bobboo53boo27boo37b4o28bo62bobobboo$513bobbo184b
ooboo49bo33bo34bo3boo27bo61bobboboo$512boobo180bo4bo127bobbo4boo21boo
61boo$512bo182b4oboo52bobbo28bobbo46boo18b3obbo56bo3b3o$511boo182bo57b
oo73boo3bo4bo16bo54boo5boo3boo$511bo184boo3bo50bo75boo3bo22bobbobo47b
oo5bo$512bo182b6o28boo17boobbobo74bo9b3o17bobo49bo4bobo$686boo6boo33bo
bo16bobobbo75bo7bob4o12bo57boobbo$686bobo3boobbo32bo14bo3bobo79boo3b6o
13boobobo53boo$686bo5b3o35boo11boo4boo82boo4boo7boboo3bo3bo$689bo40bo
bbo9bobo3boo82boo4bo7boobooboboo$689boo17boo20bo17b3o83bo7bo4bobo3bobo
$707boo3bo19bobob3o7bo3bo83bo7bo13bo$709boboo27bo4boobbo85boo4bo$711b
3o20bo9bo98bo4bobo$711bo23b4oboob4o97boboobo$503boo208b3o29boo97boo8bo
$503bobo200boobo4boo128bobboo4b5o$474bo21boo5bo202boboo3bobo129boo6bo
bboo$473boo21bobo3boobbo193boo4boboo3b3o30b3o95b3o8boobo$473bobo20bo
11bo190boo6bo5b3o30bo93boobbo$499bo3boo3b3o189bobo4boo4bobo31bo91boobb
oo13bobo$475b3o21boo4boo4bo188b3o4boobboo36boo90bobboo25boobo$474b3o
28b7o188boo6bobo39bo92bo7b3o6b3o8bo3bo$476bobo27b4o192bobo3boo3bo129b
oo6bobb3o4b3o7bo4bo$478b3o227b4o35bo29boo73boob5ob3o9boo$478b3o223bobo
37b4obo26boo66b3o4b3o4booboo12bobo$481bo224b4o34bo4bo28bo67bo10bobo$
478bobbo224b4o35bo4boo5boo21bo65b3o7bobbo10bo6boo$477bo3bo225boo38bobb
3o4bobo16b6o66bo7bo12b5o4bobbo$473booboo3bo269boo4bo18bobbo68b3ob4obbo
4boo4bo6boo$472boo7bo266booboo7bo15b6o68booboo8bobo11bo$474boboobbo
268boboo6bobbo14bo3bo68b6o7bo5boboo6bobo3bo$480bo268bobo7bobbo13boo86b
oo4bo4bobo6b5o$477bobo270boo4b3obbo12boob3o84bobbo6b3o7bobboo$478bo
275bobobbo11boobbo3bo84bo6booboo10boobo$477bo275boob4o7b3ob3obo90bobob
obbo$476bobo275boboo9bo5bobo113bobo$476bobo275bobo4b3o4bo7boo90bo4bo$
475bo279boo13bo98b4o9b3o6b3o$475boo285bobo112bo4bobb3o4b3o$475boo287bo
bb4o105boo5boob5ob3o$764booboo107bobo3b3o4booboo$767bo5b3o112bobo$765b
oo6bobb3o99b3o6bobbo$765bo8bobo100b3o7bo$760boobo15bo64boo33bobob4obbo
$760bo3bo12bo65boo3bo32booboo$760bo3bo14bobo10bo52boboo32b6o$762bobo7b
oobo6bo8b5o51b3o$771boo3bobbobbo8bobboo51bo$763bobo6bobbobbo3bo10boobo
52b3o$772bobbobbo3bo67boo$765boo5bo6bobo14bobo51boo$767bo9boo71boo$
768boo6b3o10b3o6b3o49boo$773bo3bo6bo4bobb3o4b3o48boo$769boboboobo6boo
5boob5ob3o49boo$771boo10bobo3b3o4booboo51bo$775bo19bobo6b3o44bo$785b3o
6bobbo6bobb3o36boo$772bobbo8b3o7bo10bobo38bobobbobo$786bobob4obbo13bo
35bo3bobo$788booboo15bo40boobbo$788b6o16bobo37bobo$803boobo6bo30boo3b
oo$509boo291boo3bobbobbo29boobob3o$509bobo284b3o4bobbobbo3bo31bobo$
502boo5bo286bo6bobbobbo3bo$502bobo3boobbo286bo3bo6bobo29boo$502bo11bo
281bobbo8boo24b3o5boo3bobo$505bo3boo3b3o280bobbo6b3o24bo6bobo$505boo4b
oo4bo246boobo30bo5bo3bo26bo4boo$511b7o36bo209bo3bo31boboboobo29b4obo$
512b4o37b5o206bo4bo32boo34boo$519bo33bobboo208boo38bo$518b4o33boobo
209bobo$522bo280bobbo$517b6o35bobo209boo$511b3o3boboo250bobbo$511bo5bo
bo31b3o6b3o$512bobbooboo26bo4bobb3o4b3o206boobbo$514bo14b3o13boo5boob
5ob3o206bo$517bo3bo7bo15bobo3b3o4booboo$465boo48boo4bobo8bo24bobo10b3o
198b3o$464boo55bo7bo4bo12b3o6bobbo10bo$435boo21boo5bo57b3o4b3o13b3o7bo
6b3o6bo194bo4boo$435bobo19boo5boo59boboo5bobo11bobob4obbo4bo6bobo193b
oo$435bo23bo4bobobboo56bo8bo13booboo9bo4boob4o190bobobboo$436boo23boo
3boob4o46boo3b3o10bo12b6o10b4ob5oboo191b3o$436bobbo21boo10bo45bobobboo
12bo28boo7boobo189bobbo$436bo36bo45bo4bo13bobo223boo$438bobo26bo54bobo
239bobobboo$442bo26boo47boo20boo222bobboboo$440bobbo74boo21bobbo223boo
$440bobbo75boo242bo3b3o$442b3o72bo22boobbo210boo5boo3boo$438b3ob3o72b
4o19bo213boo5bo$434b3oboobb3o64bobb3obo4bo234bo4bobo$434bo7boo64boobbo
b4o3bo19b3o214boobbo$435bo6boo64bobobobobbo240boo$438b5o69b3obboo18bo
4boo47b3o$440boo69boobo21boo53bo$439boo71boboo20bobobboo49bo$439boo99b
3o51boo$438bobo98bobbo52bo$437boo95boo$437bobo94bobobboo51boo$436bo97b
obboboo51boo$437boo99boo51bobo$533bo3b3o28boo17booboo$525boo5boo3boo
28boo17booboobo$524boo5bo36bobo11boo3boboo$526bo4bobo34b3o11bobobbobbo
$528boobbo35boo12bo7bo$528boo16b3o21bobo3bo10bobbo$546bobb3o24bo7b4obo
$547bobo22bobobo7boo$552bo21b3ob3obo$550bo23b3o5bobbo$552bobo20boo8bo$
545boobo6bo$544boo3bobbobbo$538b3o4bobbobbo3bo$494boo42bo6bobbobbo3bo$
493boo46bo3bo6bobo$495bo42bobbo8boo$497boo40bobbo6b3o$496bo43bo5bo3bo$
542boboboobo$495bobbo25boo18boo$492boobo28bobo21bo$491boo4bo26bo$493bo
bobbo6bo21bo17bobbo$498bo5boo18bobb3o$495bobbo5bobo16boobo$496bobo25b
oob3o$496bobo8boo$497boo7b4o13bo$497bo5bobo16boboobo$501b3obbo12boboob
obo$501bo3boo8boob3oboboo$501bobo10boo7boo$502boo4boo6boboo3boo$502bo
6boo$509boo5bo$511bobbobbo$511b4obbo18b3o$514bo21bo$511boo24bo$513bo
25boo$508bo31bo$507b5o$507bobboo25boo$537boo$509boobbo22bobo$532booboo
$511bobo17booboobo$527boo3boboo$513b3o11bobobbobbo$527bo7bo13bo$515bob
o3bo10bobbo12b5o$426b3o92bo7b4obo13bobboo$426bo90bobobo7boo19boobo$
397boo20b3o6bo90b3ob3obo$396boo21bo6bobo90b3o5bobbo22bobo$397bobo20bo
4boob4o88boo8bo65b3o$397b3o22b4ob5oboo72boobo35b3o6b3o38bo$397boo24boo
7boobo71bo3bo29bo4bobb3o4b3o30b3o6bo$399bobo105bo4bo27boo5boob5ob3o30b
o6bobo$509boo29bobo3b3o4booboo32bo4boob4o$401bobo107bobo38bobo37b4ob5o
boo$403b3o136b3o6bobbo38boo7boobo$403bo102bo6boo26b3o7bo$402bo102b5o4b
obbo25bobob4obbo52bo$397boboobo4bo91boo4bo6boo31booboo56bo$396booboobo
96bobo11bo31b6o54bobboo57boo$396bobo4bo95bo5boboo6bobo87boboobo55boo$
401boo97boo4bo4bobo85boo4boo61bo$401bo3bo94bobbo6b3o86bobobb3o63boo$
400bo3bo95bo6booboo87bo3bo65bo$502bobobobbo92boo3bo9boo$400bobbo198bo
4bo9bobo48bobbo$399boobo101bo4bo99bo7bo49boo$399bo105b4o94boo4boo7b3o
45bo$398boo112bo99boo4bob3o20boo17boobbobo$398bo112boo99b3obo4bo21bobo
16bobobbo$399bo111bobo105boobbo19bo14bo3bobo$612bo3bo6bobo18boo11boo4b
oo$514boo90b3obboobo29bobbo9bobo3boo$514boo19b3o68bo4boo12bobo16bo17b
3o$535bobb3o67bobboo33bobob3o7bo3bo$510boboo22bobo67bobo18bobo24bo4boo
bbo$509b4o28bo64boo12boobo6bo17bo9bo$509bo3boo24bo66bobo10boo3bobbobbo
18b4oboob4o$514bobbo23bobo69b3o4bobbobbo3bo28boo$544bo59boo7bo6bobbobb
o3bo$513boo3bo22bobbo56bobbooboo7bo3bo6bobo$513boo3bo22bobbo51booboo3b
obbo5bobbo8boo$514bo26bobbo50boo3bo13bobbo6b3o$514bo82bobobobb3o8bo5bo
3bo$515boo25bobo72boboboobo$544bo54b3obbo14boo$599boo22bo$457b3o78boo
4bo83bo$457bo79boo4boo75bobbo3b5o$458bo80bobboboo81bobboo$460boo79boob
oo83boobo$461bo$535b3obbo91bobo$458bo29boo45bobb3obo$455b4obo26boo47b
6o83b3o6b3o$455bo4bo28bo130bo4bobb3o4b3o$456bo4boo5boo21bo35bo6boo83b
oo5boob5ob3o$458bobb3o4bobo16b6o33boo5bobbo82bobo3b3o4booboo$462boo4bo
18bobbo35bobo3boobo95bobo$459booboo7bo15b6o37bo90b3o6bobbo$460boboo6bo
bbo14bo3bo36bo90b3o7bo$460bobo7bobbo13boo40bobbo89bobob4obbo4b3o$461b
oo4b3obbo12boob3o133booboo8bobb3o$465bobobbo11boobbo3bo133b6o8bobo$
464boob4o7b3ob3obo156bo$465boboo9bo5bobo154bo$465bobo4b3o4bo7boo154bob
o$466boo13bo154boobo6bo$473bobo159boo3bobbobbo$475bobb4o19bo127b3o4bo
bbobbo3bo$475booboo20boo127bo6bobbobbo3bo$478bo21bobo129bo3bo6bobo$
389bo86boo151bobbo8boo$388boo86bo26boo125bobbo6b3o$382bo5bobo80boobo
28boo126bo5bo3bo$358b3o20boo88bo3bo157boboboobo$358bo22bobo3boobobo78b
o3bo25boo80boo50boo$361bo23bo7boo78bobo24bobbo78boo55bo$358bobbo22bo4b
o5boo102boobo73boo5bo$359bobbo21bobbobb6o78bobo18b3o77boo5boo52bobbo$
360bo134bo81bo4bobobboo$362bobo111boo13boo3bo82boo3boob4o$364boo112bo
11boo5boboo78boo10bo$365bo113boo11bo5b3o11boobo75bo$364boo128bob4o12bo
3bo68bo$363b3o114bobobboo6bobboo14bo4bo69boo3boo$358boobooboo116boobo
bbo3boo20boo76b4o57boo$358bo3boboo122bobob3o21bobo72bo4bo56bobo$358bob
3obbo122bobo95bo4bo4bo56bo$363boo118bobo25bo6boo65boo3boo64bo$362b3o
106boo37b5o4bobbo62bobo3bo64boo$470boo3bo28boo4bo6boo70b5o10bo51boo$
472boboo28bobo11bo70b4o10boo50boo$361b3o110b3o27bo5boboo6bobo66boo5bo
6bobo48boo$361b3o110bo30boo4bo4bobo71bo3boo56boobbo$476b3o26bobbo6b3o
79bo6boboo22bo18bobb3o$360boo107boobo4boo26bo6booboo81b3ob4obobo19boo
17boo$360bo108boboo3bobo28bobobobbo84boboobbo3bo19bobo16bobo$463boo4bo
boo3b3o119bobboo6b3o31b3o3bo$462boo6bo5b3o30bo4bo78boo3bobo10bo19b3o9b
o6bobbo$463bobo4boo4bobo31b4o78boo3bobbo10b3o16b3o11bo4bo$463b3o4boobb
oo118bo3bo14bo18bobo11boboo3bo$463boo6bobo118boo3bo15b3o18b6o5b5o$465b
obo3boo3bo115boo12boobo4boo18b7obobo$471b4o131boboo3bobo24boo3bobo$
467bobo123boo5boo4boboo3b3o28bobo$469b4o118bo7boo6bo5b3o$469b4o114bobb
5o5bobo4boo4bobo$470boo3boo105boobbobo4bobo4b3o4boobboo$475bobo104bobo
bo4bo8boo6bobo$475bo106bo3bo15bobo3boo3bo$478bo109booboo15b4o$478boo
20bo84bo18bobo$478boo19b5o81booboo16b4o$387bo89boo20bobboo102b4o$386b
oo85booboo23boobo102boo4b3o$380bo5bobo84bo4bo134bobb3o$379boo92bob4o
25bobo107bobo$379bobo3boobobo86boo140bo$383bo7boo84boo27b3o108bo$382bo
4bo5boo82boo28b3o109bobo$382bobbobb6o85bo24b6o102boobo6bo$430b3o45boo
131boo3bobbobbo$430bobb3o42bo28bo97b3o4bobbobbo3bo$395b3o33bobo45bo27b
o97bo6bobbobbo3bo$395bobboo36bo70bo100bo3bo6bobo$394booboo35bo170bobbo
8boo$389boo45bobo62b3o3boo97bobbo6b3o$388boo4bobo32boobo6bo61bo105bo5b
o3bo6boo$390bobboboo31boo3bobbobbo62bobboo102boboboobo6boo3bo$392boo
13boo13b3o4bobbobbo3bo65booboo101boo12boboo$392boo4bo7boo14bo6bobbobbo
3bo60bo4bo109bo11b3o$393bo4b3o6bobbo14bo3bo6bobo9boo49b4oboo121bo$399b
oo6boobo11bobbo8boo11boo50bo112bobbo13b3o$401boobobboo3bo10bobbo6b3o5b
oo5bo51boo3bo116boobo4boo$402bobo19bo5bo3bo5boo5boo50b6o117boboo3bobo$
402bobbo4bobobo11boboboobo8bo4bobobboo36boo6boo116boo4boboo3b3o$397bo
3b3o10bo13boo14boo3boob4o34bobo3boobbo114boo6bo5b3o$396boo16bobo15bo
11boo10bo33bo5b3o117bobo4boo4bobo$396bobobo55bo36bo122b3o4boobboo$401b
oo13bobo10bobbo17bo42boo121boo6bobo$396bobo53boo164bobo3boo3bo$395boob
o19b3o203b4o$396bo22b3o198bobo$395bo20b6o200b4o$394b3o225b4o$390bobbo
3boo20bo203boo$385b3ob3obb5o20bo$385bo5bobbobo22bo$386bo3bo4bo73boo$
388boobobbo18b3o3boo47boo$389bobo21bo56bo$389bobo22bobboo53boo$417boob
oo49bo$412bo4bo$411b4oboo52bobbo$411bo57boo76boo$412boo3bo50bo78bobo$
411b6o28boo17boobbobo69boo5bo$402boo6boo33bobo16bobobbo70bobo3boobbo$
350boo50bobo3boobbo32bo14bo3bobo73bo11bo$350bobo49bo5b3o35boo11boo4boo
76bo3boo3b3o$321bo21boo5bo54bo40bobbo9bobo3boo76boo4boo4bo$320boo21bob
o3boobbo51boo17boo20bo17b3o82b7o$320bobo20bo11bo67boo3bo19bobob3o7bo3b
o83b4o$346bo3boo3b3o67boboo27bo4boobbo91bo$322b3o21boo4boo4bo68b3o20bo
9bo95b4o58bo$321b3o28b7o68bo23b4oboob4o97bo56boo$323bobo27b4o72b3o29b
oo92b6o56bobo$325b3o94boobo4boo117b3o3boboo$325b3o94boboo3bobo117bo5bo
bo62boo$328bo87boo4boboo3b3o118bobbooboo62boo$325bobbo86boo6bo5b3o120b
o14b3o$324bo3bo87bobo4boo4bobo123bo3bo7bo50boo$320booboo3bo87b3o4boobb
oo124boo4bobo8bo46bobbo$319boo7bo87boo6bobo132bo7bo4bo43boobo$321boboo
bbo90bobo3boo3bo131b3o4b3o22b3o16b3o$327bo96b4o135boboo5bobo18bo18bo$
324bobo30boo61bobo142bo8bo21bo11boo3bo$325bo31bobo62b4o131boo3b3o10bo
17bobbo10boo5boboo$324bo32bo64b4o131bobobboo12bo17bobbo11bo5b3o$323bob
o34bo62boo132bo4bo13bobo16bo15bob4o$323bobo34boo198bobo34bobobboo6bobb
oo$322bo37boo194boo13bo6boo19boobobbo3boo$322boo35boo27bo167boo12b5o4b
obbo22bobob3o$322boo31booboo27boo168boo5boo4bo6boo26bobo$355bo4bo26bob
o165bo8bobo11bo21bobo$355bob4o194b4o5bo5boboo6bobo$359boo6b3o17boboboo
154bobb3obo4bo5boo4bo4bobo$359boo6bo19boobboo153boobbob4o3bo5bobbo6b3o
$359boo7bo17bobbobo154bobobobobbo9bo6booboo$361bo8boo178b3obboo10bobob
obbo$360boo7boobbo175boobo$360bo7bo4bo11b3obobo158boboo15bo4bo$361bo3b
4o16boobbo180b4o$363boobboo9boob3o5bo188boo$366bo3boo6bo3bo3boo189boo
3bo$365boo11boboobobbo192boboo$365bo6boo207b3o$366bo6bo207bo$378b3o
202b3o$374boob4o19boo174boobo4boo$374boo23boo175boboo3bobo$375bobbo22b
o168boo4boboo3b3o$403boo164boo6bo5b3o$375bobo24bo167bobo4boo4bobo$370b
3o197b3o4boobboo$370bobboo26bobbo165boo6bobo$371bobobbo23boo170bobo3b
oo3bo4boobo$373boobo22bo178b4o6bo3bo$374boo19boobbobo172bobo11bo4bo$
374bo20bobobbo175b4o10boo$376boo13bo3bobo178b4o12bobo$390boo4boo179boo
$377bobo10bobo3boo189bo6boo$395b3o13b3o172b5o4bobbo$379bobob3o7bo3bo
13bobb3o163boo4bo6boo$387bo4boobbo15bobo165bobo11bo$381bo9bo25bo162bo
5boboo6bobo$382b4oboob4o21bo165boo4bo4bobo$392boo23bobo161bobbo6b3o$
371bo38boobo6bo160bo6booboo$370b5o34boo3bobbobbo162bobobobbo$370bobboo
28b3o4bobbobbo3bo$372boobo27bo6bobbobbo3bo164bo4bo$406bo3bo6bobo166b4o
$375bobo25bobbo8boo$404bobbo6b3o$368b3o6b3o25bo5bo3bo$363bo4bobb3o4b3o
26boboboobo$362boo5boob5ob3o28boo$362bobo3b3o4booboo33bo$374bobo$364b
3o6bobbo33bobbo$363b3o7bo$365bobob4obbo$367booboo$367b6o3$374b3o$374bo
$375bo$377boo$378bo20boo$398boo3bo$375bo24boboo$372b4obo24b3o$372bo4bo
24bo$373bo4boo24b3o$375bobb3o24boo$379boo24boo$376booboo24boo$377boboo
24boo$377bobo25boo$378boo26boo$407bo$406bo$401boo$401bobobbobo$401bo3b
obo$404boobbo$405bobo$399boo3boo$398boobob3o$400bobo$$397boo$389b3o5b
oo3bobo$389bo6bobo$390bo4boo$392b4obo$393boo26$312boo$311boo$282boo21b
oo5bo$282bobo19boo5boo$282bo23bo4bobobboo$283boo23boo3boob4o$283bobbo
21boo10bo$283bo36bo$285bobo26bo$289bo26boo$287bobbo$287bobbo$289b3o$
285b3ob3o$281b3oboobb3o$281bo7boo$282bo6boo$285b5o$287boo$286boo$286b
oo$285bobo$284boo$284bobo$283bo$284boo17$310boo$309boo290boo$303boo5bo
289boo$302boo5boo283boo5bo$304bo4bobobboo277boo5boo$306boo3boob4o277bo
4bobobboo$306boo10bo278boo3boob4o$318bo35boobo239boo10bo$312bo41bo3bo
250bo$314boo3boo33bo4bo243bo$319b4o33boo247boo3boo$318bo4bo34bobo249b
4o57boo$313bo4bo4bo285bo4bo56bobo$312boo3boo34bo6boo242bo4bo4bo56bo$
312bobo3bo33b5o4bobbo238boo3boo64bo$316b5o10bo14boo4bo6boo242bobo3bo
64boo$316b4o10boo14bobo11bo246b5o10bo51boo$316boo5bo6bobo13bo5boboo6bo
bo7bo234b4o10boo50boo$317bo3boo24boo4bo4bobo10boo234boo5bo6bobo48boo$
324bo6boboo12bobbo6b3o5bo5bobo234bo3boo56boobbo$325b3ob4obobo10bo6boob
oo5boo249bo6boboo22bo18bobb3o$326boboobbo3bo12bobobobbo7bobo3boobobo
240b3ob4obobo19boo17boo$325bobboo6b3o29bo7boo239boboobbo3bo19bobo16bob
o$320boo3bobo10bo12bo4bo10bo4bo5boo236bobboo6b3o31b3o3bo$319boo3bobbo
10b3o11b4o11bobbobb6o232boo3bobo10bo19b3o9bo6bobbo$321bo3bo14bo269boo
3bobbo10b3o16b3o11bo4bo$319boo3bo15b3o269bo3bo14bo18bobo11boboo3bo$
319boo20boo267boo3bo15b3o18b6o5b5o$341boo267boo12boobo4boo18b7obobo$
320boo19boo281boboo3bobo24boo3bobo$318bo22boo268boo5boo4boboo3b3o28bob
o$314bobb5o19boo266bo7boo6bo5b3o$309boobbobo4bobo19boo261bobb5o5bobo4b
oo4bobo$309bobobo4bo24bo256boobbobo4bobo4b3o4boobboo$309bo3bo28bo50bo
206bobobo4bo8boo6bobo$315booboo17boo53boo206bo3bo15bobo3boo3bo$312bo
24bobobbobo47bobo211booboo15b4o$312booboo20bo3bobo259bo18bobo$340boobb
o50boo206booboo16b4o$341bobo51boo227b4o$335boo3boo283boo4b3o$334boobob
3o51boo236bobb3o$336bobo53bobbo236bobo$391boobo242bo$333boo33b3o16b3o
245bo$325b3o5boo3bobo27bo18bo249bobo$325bo6bobo36bo11boo3bo241boobo6bo
$326bo4boo35bobbo10boo5boboo236boo3bobbobbo$328b4obo14bo20bobbo11bo5b
3o230b3o4bobbobbo3bo$329boo16b5o18bo15bob4o231bo6bobbobbo3bo$347bobboo
20bobobboo6bobboo236bo3bo6bobo$349boobo21boobobbo3boo237bobbo8boo$380b
obob3o237bobbo6b3o$352bobo25bobo242bo5bo3bo6boo$375bobo249boboboobo6b
oo3bo$345b3o6b3o272boo12boboo$340bo4bobb3o4b3o275bo11b3o$339boo5boob5o
b3o287bo$339bobo3b3o4booboo273bobbo13b3o$351bobo286boobo4boo$341b3o6bo
bbo286boboo3bobo$340b3o7bo283boo4boboo3b3o$342bobob4obbo280boo6bo5b3o$
344booboo285bobo4boo4bobo$344b6o284b3o4boobboo$634boo6bobo$636bobo3boo
3bo$642b4o$638bobo$640b4o$640b4o$641boo161$730b3o$730bo$723b3o6bo$723b
o6bobo$724bo4boob4o$726b4ob5oboo$727boo7boobo$$740bo$740bo$739bobboo
57boo$739boboobo55boo$733boo4boo61bo$733bobobb3o63boo$733bo3bo65bo$
736boo3bo9boo$736bo4bo9bobo48bobbo$743bo7bo49boo$737boo4boo7b3o45bo$
746boo4bob3o20boo17boobbobo$746b3obo4bo21bobo16bobobbo$753boobbo19bo
14bo3bobo$746bo3bo6bobo18boo11boo4boo$740b3obboobo29bobbo9bobo3boo$
740bo4boo12bobo16bo17b3o$742bobboo33bobob3o7bo3bo$740bobo18bobo24bo4b
oobbo$740boo12boobo6bo17bo9bo$740bobo10boo3bobbobbo18b4oboob4o$558b3o
186b3o4bobbobbo3bo28boo$558bo179boo7bo6bobbobbo3bo$551b3o6bo174bobboob
oo7bo3bo6bobo$551bo6bobo169booboo3bobbo5bobbo8boo$552bo4boob4o165boo3b
o13bobbo6b3o$554b4ob5oboo164bobobobb3o8bo5bo3bo$555boo7boobo183boboboo
bo$733b3obbo14boo$568bo164boo22bo$568bo193bo$567bobboo57boo123bobbo3b
5o$567boboobo55boo131bobboo$561boo4boo61bo132boobo$561bobobb3o63boo$
561bo3bo65bo134bobo$564boo3bo9boo$564bo4bo9bobo48bobbo125b3o6b3o$571bo
7bo49boo123bo4bobb3o4b3o$565boo4boo7b3o45bo124boo5boob5ob3o$574boo4bob
3o20boo17boobbobo122bobo3b3o4booboo$574b3obo4bo21bobo16bobobbo135bobo$
581boobbo19bo14bo3bobo128b3o6bobbo$574bo3bo6bobo18boo11boo4boo127b3o7b
o$568b3obboobo29bobbo9bobo3boo129bobob4obbo4b3o$568bo4boo12bobo16bo17b
3o131booboo8bobb3o$570bobboo33bobob3o7bo3bo131b6o8bobo$568bobo18bobo
24bo4boobbo151bo$568boo12boobo6bo17bo9bo154bo$568bobo10boo3bobbobbo18b
4oboob4o154bobo$575b3o4bobbobbo3bo28boo147boobo6bo$566boo7bo6bobbobbo
3bo176boo3bobbobbo$563bobbooboo7bo3bo6bobo171b3o4bobbobbo3bo$558booboo
3bobbo5bobbo8boo174bo6bobbobbo3bo$557boo3bo13bobbo6b3o177bo3bo6bobo$
559bobobobb3o8bo5bo3bo175bobbo8boo$579boboboobo177bobbo6b3o$561b3obbo
14boo182bo5bo3bo$561boo22bo181boboboobo$590bo178boo$582bobbo3b5o179bo$
589bobboo$591boobo175bobbo$$594bobo$$587b3o6b3o$582bo4bobb3o4b3o$581b
oo5boob5ob3o$581bobo3b3o4booboo$593bobo$583b3o6bobbo$582b3o7bo$584bobo
b4obbo4b3o$586booboo8bobb3o$586b6o8bobo$605bo$603bo$605bobo$598boobo6b
o$597boo3bobbobbo$591b3o4bobbobbo3bo$591bo6bobbobbo3bo$594bo3bo6bobo$
591bobbo8boo$592bobbo6b3o$593bo5bo3bo$595boboboobo$597boo$601bo$$598bo
bbo!

By adding rakes and perturbing spaceships to the convoy we can produce period multiplication for the rake. I found two alternative methods for doing this, depending on the multiplication factor.

Here is an example of the first method using a period 72 rake, (lower than the previous convoy's minimum repeat time of 116 generations).

Code: Select all

#C A diagonal c/4 period 216 (72 * 3) sideways rake.
#C This uses two period 72 rakes as input to a diagonal c/4
#C convoy which multiplies its period by 3 by repeatedly starting
#C and stopping the burning of a fuse which it builds.  Advancing or
#C retarding the sparking spaceship near the fuse by 15 generations
#C causes the multiplication factor to be increased or decreased by 1.
#C (When increasing the multiplication factor, the fuse building rakes
#C also need to be advanced as required to create more fuse elements.)
#C The same method works to multiply the period of any other diagonal
#C c/4 rake which has a period of 68 or more.
x = 2460, y = 1785
69boo$69bobbo$69bob3o$73bo$66boboo3bo$65b5obobo$65bobbo$66bobbobbo$67b
obo$59boo3bobbo$58boobbobobbo$48booboo5bobb5o$48bob3obooboo3bobbobo$
48bo9bobbo4bo$45boobobboboobbo13boboo$45bo3bo19b3obooboo$38bo6bob3o18b
oobbobboobo$25boo10boo9bo3b3o13bo$25bobo9bobobb4o3b3ob3o14bo$ooboo13b
oo5bo15b3oboobboobbobo9b3o$ob3o13bobo3boobbo11bobbobo7b4o4bobbo4bo$obb
oo3boo8bo11bo29boobbobbo$7booboboo7bo3boo3b3o6bobbo9b3o5boboobboo$4bo
5boboo7boo4boo4bo4boo3bo8b3o7boo$4bo5bo3bo12b7o3boo4bo4b3o8booboo23bo$
12bo15b4o4bo6boobbo4boo4b6o12bo9boo$14bobo20bobobobbobbobb11o4bo7boobo
9bobo$16bo23boo5bo3b4obo8bo4boobo4bo$16bobo6bo5boo4boobo4bobo21bo5b4o
9bobo$21b3ob3obboo5bo6b4o10boo8bo3bo5bo7booboo$18bob4ob3o3bo4boboo3bo
5bobboo3boo9bo3bo5bobbob6o$28bo3boobobboo3boboo3boboobboob4o5boo3boo6b
3obboo$28boob3obobo4bo3boobbobo11bo5bo3boboo3b3obboo$25b6o3bobboobboo
3boo4bo4boo5bo4b3o5b4o3bobo$20b3obb3oboo3bo3bobo5bo5bo6bobo3b3obo8b7o$
12b3o4bobboboo12bobo5bo5bo3bo6bobb5o5bobbo6bo$12bo6bobbo8bobobbobo14bo
bboo3b3oboboo7b4o7bo$13bo4boobo9bob3obo18bobb3oboobbo7bo6bo4bo$15b4o4b
oo6bobboboo25bobobbo15bobbo$18bo3boobo9bobboo21bobo8b3obobobbobboo$16b
3o3boo9booboboo20b5obb8obo3bo$18bo3bo37bo3bo7bo6bo$13b3obbooboo18bo27b
oo$13booboobb3o19boo$12bobo9bo16boo29boo$12boob3o5boo47bobo$16bo4boboo
20bo26bo$14bo8boo21boo27bo$14boo7boo20boo28boo3bo$14bobo7bo50boobbobo$
15b3o6bobo22bo26boboobbo$15b3o32boo24boobob3o$15bo5bobo25boo25bobo3boo
$20booboobo49bo5bo$20boboo3bo25bo8b3o17boo$25boo27boo6bo12boo$26boo25b
oo8bo10boboo$25boo38b3o5bo4bo$24b3obo28bo8b6oboo3bo$19b3obbo33boo9bo4b
o$19bo37boo9bobo4boo$20bo3boo41b3o$24bo36bo4bo$24bo37boo3bobo$23boo36b
oo5b5o$22bo31boo13boobo$21booboo28bobo8bo33bo$54bo11boo30b5o$20bo4bo
32b3o4boo31bobboo$20bo35boob4o6boo29boobo$20boboo32b3o4bo4bobbo$20bobo
29b3o5boobo4bobbo31bobo$21boo29bobbo4b3o6boo$46b3o4boboobooboo33b3o6b
3o$42boobbo9booboboo11bo16bo4bobb3o4b3o$41boo4bo8boo5bo3bo5bo16boo5boo
b5ob3o$42bobo4boob3o3bo3bo4bobo3boo4boo9bobo3b3o4booboo$42b3o5booboobo
3bobbo3boboo3bo3b3o21bobo$42boo10bo5boo8bobobbobo14b3o6bobbo$44bobo5bo
boo4bo15boobo11b3o7bo$47bobo4boobbobbo13bo3bo13bobob4obbo$46boo4b3obbo
3bo12boobo17booboo$45boboboobobo3bo15b3o5boo11b6o$49bobbo7boo19bobo$
44boo13b3o19boo$43b3obbo6boobb3o$46boobo5bobo6boo$43bo3boboobobo6boboo
$44bo7bo10bo$45boo7bo5bobboo13bo$45bo4b4o5bo4bo12bobo8booboo4boo$43b3o
3booboo5bobb4o11bobo7boboboo4boo$43bo8boo5bobo3bo12bo11bo13bo$43bobo7b
oboo8boo29bo6b3o$39boo4bo5boobboo7boo29b3o4boobo$38boo5bobo3bobboo9bo
28bobobobboo$40bo4b3obbobbobo9b3o16bo8b3ob5obo$42boo6boo3bo3b3obbo3bo
14bobo8bobobobb3o$42boo7bobo5bo3bo19bobo9b3o4boo$51bo3bo4bo23bo11bo$
50boobobo7booboo39boo$47b3oboo11bo42boo$46bo4bobbobo6boo14b3o$45boobob
obbobo8boo13bo25boo$44bo3bo3boo11bo14bo23boobo3boo$44bobo6bobobb3o4b3o
35bo3bobbo$47bobobo3bobbo5bo38bobobboboo$43booboo4boo5bo4bo39bo5boo$
43boo3bo3boo7boo35bo6bo4bo$44booboobbobobo6bo35bo8b3o$44boo5bobobo6bo
33bo11boo$44boobo5bo37bo3b3o$47bo5b3o34bobobb3o$42bo4bo5bo36boo3bo$41b
oo3boo5boo27boo6boobb3o5bo62bo10boo35bo10boo$41bobo3b5o29boo13bo4bobo
60b5o6boo35b5o6boo$45boo3boo24boo4bobo6b4obboobbobo60bobboo8bo7boo25bo
bboo8bo7boo$44bo6bo23boo5boobo7bob4o3bo63boobo5boo6b3obo26boobo5boo6b
3obo$51boo24bo5bobo11bo77boo3boboo13boo24boo3boboo$44bo4b3obbo24boobbo
bo83bobo6boo17bobo17bobo6boo$30b3o11bobbobbo28b4obbo34b3o51b3obo4bo13b
o24b3obo4bo$30bo13bobbo4bobobo24boobboo84b3o3bo4bo17bo18b3o3bo4bo$31bo
12bobo9bo17boo6bo4bo32bo51bo7bo19boo3bo14bo7bo$33boo10bo3b3o21boo3b3ob
oo3bo84bo6bo20boobbobo13bo6bo$34bo11boo3b3o21bob4obbobo41boo72boboobbo
$43b6obb3o29bo41boobobo44bo25boobob3o14bo$31boo3bo5boobbobbobbo24bo3bo
bbobo33bo4bobobbo70bobo3boo$23b3o5boobbobo4bo6boboo24bo3bo4bo5boobo19b
oobbobbo3bo34boo38bo5bo16b3o$23bo6bobo3bobb3o3bo36bo9bo3bo18boo3b7o35b
oo23b3o17boo7boo5bo4bo$24bo4boo6b3o4bo6boobo37bo4bo23b6o34bo25bo12boo
14bobo4boobob3o$26b4obo19boo41boo92bo10boboo13bo6bobbo$27boo10bo11b3ob
o40bobo91b3o5bo4bo15bo4bobbo$39bobo10bobbo135b6oboo3bo15boobbo3bo$49b
oobbobboo40boo12b3obb3o74bo4bo19boo6bo$49boo4boobboo38bobbo9b4o5bo71bo
bo4boo3bo14b4o3bo$47boboobb3obbo53bo3bo75b3o9boo14bo4b4o$46b3o4boo4bo
38boobbo8boobo3boo71bo12bobo7boo4bo7bo$46bobo9bobo37bo12boo5bo45boo26b
obo16boobo4bo5bo$58bo53boo5boo43bobo26b5o9boobboo6b3oboboo$51b3o45b3o
17boo43bo29boobo9boobboo6b3o4bo4boo$51bo6bobo106bo40boo10boo9bobo$52bo
bb3o37bo4boo65boo33boo4b3ob4oboo12bo5b3o$54bobbo36boo71boo33bobobbobo
bbo4b7o13bo17bo4boo$57bo36bobobboo65boo34bo3boo3bob3obo3bobo6boo7bo6b
oo3boo3bo3bobo3b3o$46b3o49b3o61booboo29bo8b3obb3obboobo3boo6bobbo3bobo
5booboboobo6bo5bo$46bo9bo40bobbo61bo4bo27bobo8b3o3boo5bo4b3obboo5bo8bo
5bobooboobbobo4bo12boo$47bobb6o36boo68bob4o26bobbo7boboboo3boobobbobo
7bo3boobbobbobb3o4bo5booboo7bo9b3o$49bo42bobobboo20bo46boo27boo7boobob
o5bobob4o3b3obo3bobboobbobbobo6b6o3bo15b4obo$50boo40bobboboo19boo46boo
4boobo30boo8bob3oboo3boo5bo4bobo7boobo3bo8booboob3obboo6boo$96boo15bo
4bobo45boo5boo11boo21bobo7boobo6bobbobb3obobbobb3obo3bobbobo4boboboob
oo4boo5boo$91bo3b3o14boo54bo3bobo11bobo18boo9bo3b4o4boobo3bobboobbo3bo
5bo3bobboo4bo8bobobboboo7boo$83boo5boo3boo15bobo5boboo43boo10boo5bo19b
4o3boo3boobbo8bo5bo3bobbo6bo7boboob3o9b5obbo7boobo$82boo5bo29boo46bo
11bobo3boobbo18boboob4obbobbobo6bo4bo8boo13b3o4boobbo4boo3bobboo5bo$
84bo4bobo23boobboo47bo10bo11bo17bo6bo12boo3bobboobo23boobboo6b3obo3bo
4boobo$86boobbo24boobboo61bo3boo3b3o17bobbobo12bo10boo22boo11bo3boob4o
b3obo$86boo23bo4boo4boo58boo4boo4bo19bo14bobo8boo41bob3o$110b4obb4o4bo
63b7o39bo46boo4bo3bo$110bobb3o3b3o67b4o40b5o47bo7bo$112bo9bo73bo36bobb
oo54b3o$113b5obbo74b4o36boobo44bobo5bo$117bo4boo75bo83boo5boo4bo$118b
oo74b6o38bobo42bobo3bo6boo$188b3o3boboo82boobobobbobobo3boo$188bo5bobo
16bo17b3o6b3o36booboob3obbo$189bobbooboo15bobo11bo4bobb3o4b3o37boboobo
bbo102boo46boo$191bo14b3o3bobbo9boo5boob5ob3o43bobo90b3o9bobo33b3o9bob
o$194bo3bo7bo6boo10bobo3b3o4booboo48bo88bobb3o6bo9bo25bobb3o6bo9bo$
192boo4bobo8bo27bobo50bo90bobo16boobo25bobo16boobo$198bo7bo4bo15b3o6bo
bbo51bo94bo4boobbo3boobbo10bo19bo4boobbo3boobbo$200b3o4b3o16b3o7bo147b
o6boobboboobbo11boo17bo6boobboboobbo$202boboo5bobo14bobob4obbo147boboo
bo3b5o13bobo18boboobo3b5o$204bo8bo16booboo160boo46boo$196boo3b3o10bo
15b6o151bobb6o20boo17bobb6o$196bobobboo12bo172b7o21boobb3o13b7o$196bo
4bo13bobo172b3o27boobo14b3o$199bobo216bo4bo$195boo13bo6boo198b3o4bo$
195boo12b5o4bobbo19boo34boo34boo34boo34boo30bo5bo17boo$196boo5boo4bo6b
oo22bobo33bobo33bobo33bobo33bobo17boo12bobobboo8bo6boobobo$194bo8bobo
11bo24bo35bo35bo35bo35bo16boo27boo5boo4bo$194b4o5bo5boboo6bobo183bo9b
3o14bobo7bo3bo$186bobb3obo4bo5boo4bo4bobo189boo6booboo20boobo$185boobb
ob4o3bo5bobbo6b3o190boobboobbob3o15boo3b3o$185bobobobobbo9bo6booboo15b
o178boobobboo17boo3b3o$189b3obboo10bobobobbo16bobo178bo4boo23boo$188b
oobo38bobbo174boo3bo6b3o14b3o3bobo$189boboo15bo4bo17boo175boo10bo9boo
4b5o3bo$209b4o10bo157bo26bo12bo6b3obobbobb3o$222boo156boo27booboo9boo
bboo6boo4bo$216bo5bobo155bobo28bobo10bo11bo4boboo3bo$215boo211bobbo5bo
9boo$215bobo3boobobo156boo34bo4boo6bobobbobbo6bobo4boo$219bo7boo154boo
33boo3boboboboo3b5o14boo22bo$218bo4bo5boo187bobobobbobo11bo7bobo4bo7b
oo3boob3o3boo5boo$218bobbobb6o149boboo40bo4bobbooboo3bo6b3o4bobo6bobo
bbob4o3bobo3boo$269b3o106b4o40bo4bobobboo5boboo3bobo3bobbo5bobbobbo4bo
bobo7bo$269bobb3o103bo3boo37bobobo4boobobo6bo3boboobbob3o4boo5bo7b3o
16b4o$231b3o36bobo110bobbo34bob3o5boboboboo3booboob3o3boboobo6bo4bobb
oo9boo7bo5bo$231bobboo39bo140bo4bo9bobbo3bo5bobobbo5bobobo3bobbobob3ob
oobbobboo5bo4bo6bo$230booboo38bo108boo3bo27bobo6b4o8bo3bo4boboo3bo3bo
5bo3boob3obbo5bobbobobobooboobo3boo$225boo48bobo104boo3bo26bobbo4bo3b
oo5bobb3obo5boo3b3obboo3boo3boo6bo3bo4bo3b5obbobbo10boo$224boo4bobo16b
o18boobo6bo104bo31boo6bo3b3o3bob3o3bo7b3o8boob5o7boob5ob5obo3boboobo8b
obo$226bobboboo15bobo16boo3bobbobbo48bo55bo39boboobboo5bo11b3obobbobo
4boboo14bo3boo5bobo3boobo7bobo$228boo13boo3bobbo9b3o4bobbobbo3bo36boo
9boo15b3o38boo45boo4boboo5boboo3bo23bobbo12b3o3boobo3bo$228boo4bo7boo
5boo10bo6bobbobbo3bo35boo3bo6bobo14bo82b5obo12b3o6bobbo19bo3bo3bo11boo
bbo3b4obo$229bo4b3o6bobbo17bo3bo6bobo38boboo15b3o6bo83boo15bobo8boo22b
o4bo7bo4bo3bobo5bo$235boo6boobo14bobbo8boo43b3o5bobo4booboo8boo146bobb
oo3bo3b3o$237boobobboo3bo13bobbo6b3o43bo6boobobobo14bo3boo$238bobo22bo
5bo3bo46b3obo6boboo15boo148bobo5boo$238bobbo4bobobo14boboboobo48boo7bo
22boo144bo8boobo$233bo3b3o10bo16boo52boo5boo17b6o146boo6bobbo$232boo
16bobo18bo51b5o19bobboobo151boob5o$232bobobo97boo13bo4bo141boobboo3boo
boobboo$237boo13bobo13bobbo62bobo10bo6bo141bobb3obbo$232bobo99bo11bo
149bobo4b3o$231boobo10b3o6b3o20bo35bo23bo7boo3bo152boo$232bo7bo4bobb3o
4b3o19boo34boo22boobboobobb3o157boo$231bo7boo5boob5ob3o18bobo33bobo26b
o5bo85bo72bo$230b3o6bobo3b3o4booboo84bobo3bo84bobo72boo$226bobbo3boo
16bobo85boboo3bo85bobbo$221b3ob3obb5o6b3o6bobbo84booboo90boo$221bo5bo
bbobo7b3o7bo16bo70bobbo$222bo3bo4bo10bobob4obbo13bobo71bobo$224boobobb
o13booboo17bobbo70bobboo$225bobo16b6o17boo$225bobo$258b3o53b3o$258bo
55bo$251b3o6bo54bo$251bo6bobo56boo$252bo4boob4o54bo$254b4ob5oboo78bo$
255boo7boobo47bo28bobo$312b4obo25bobbo$268bo43bo4bo26boo$268bo44bo4boo
131bo$267bobboo43bobb3o129bobo$267boboobo46boo129bobbo$261boo4boo34bo
12booboo3boo125boo$261bobobb3o16bo5boo9boo13boboo$261bo3bo18bobo3boo3b
o6bobo12bobo122b3o$264boo3bo9boo3bobbo4boboo15b3o4boo122bo$264bo4bo9bo
bo3boo7b3o5bobo4booboo121b3o6bo$271bo7bo14bo6boobobobo126bo6bobo$265b
oo4boo7b3o13b3obo6boboo125bo4boob4o$274boo4bob3o12boo7bo131b4ob5oboo$
274b3obo4bo13boo5boo133boo7boobo$281boobbo13b5o186boo$274bo3bo6bobo
164bo36boo3bo$268b3obboobo86bo88bo38boboo$268bo4boo12bobo72bobo86bobb
oo37b3o$270bobboo31boo53bobbo86boboobo36bo$268bobo18bobo70boo81boo4boo
42b3o$268boo12boobo6bo13b3o136bobobb3o16bo18boobo4boo$268bobo10boo3bo
bbobbo152bo3bo18bobo17boboo3bobo$275b3o4bobbobbo3bo155boo3bo9boo3bobbo
10boo4boboo3b3o875boobo7b3o$266boo7bo6bobbobbo3bo155bo4bo9bobo3boo10b
oo6bo5b3o875bo3bo6bo$263bobbooboo7bo3bo6bobo12bo150bo7bo18bobo4boo4bob
o875bo4bo7bo7boo$258booboo3bobbo5bobbo8boo15boo143boo4boo7b3o15b3o4boo
bboo880boo7bobo4boobo$257boo3bo13bobbo6b3o13b3oboo150boo4bob3o13boo6bo
bo884bobo4b3obobboo$259bobobobb3o8bo5bo3bo13boo3boo150b3obo4bo16bobo3b
oo3bo887bo3boobboo$279boboboobo13bobbo3bo157boobbo20b4o885boob4oboo$
261b3obbo14boo18bobb3o151bo3bo6bobo14bobo891b7o$261boo22bo16b4o146b3o
bboobo27b4o$304bo147bo4boo12bobo14b4o$282bobbo168bobboo30boo$452bobo
18bobo$381bo70boo12boobo6bo$380bobo69bobo10boo3bobbobbo19b3o33b3o33b3o
33b3o33b3o33b3o33b3o33b3o33b3o33b3o33b3o33b3o33b3o33b3o33b3o33b3o33b3o
33b3o33b3o33b3o33b3o33b3o33b3o33b3o33b3o$379bobbo76b3o4bobbobbo3bo21bo
35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo
35bo35bo35bo35bo35bo35bo35bo$380boo68boo7bo6bobbobbo3bo20bo35bo35bo35b
o35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo
35bo35bo35bo35bo$447bobbooboo7bo3bo6bobo$442booboo3bobbo5bobbo8boo$
376bo64boo3bo13bobbo6b3o14bo$375boo66bobobobb3o8bo5bo3bo14bobo$375bobo
85boboboobo15bobbo$368b3o9boo63b3obbo14boo20boo$368bo9bob3o62boo22bo$
369bo6bo5b4o93boo892boo$371boobboo4boo83bobbo8boo892boo8bo15bo$372bo
99boo5bo894bo7bobo11bobo$376bo3boo5bo83boo5boo896boo4boo13boo$372boobo
bbob3ob3o86bo4bobobboo890bo$371bobobo11bo87boo3boob4o$348b3o20bobobo3b
o5b3o87boo10bo886bobbo$348bo21bo4boboboo4b3o11boo86bo38boobo841boobo$
351bo18boobboobobboo16bobbo79bo44bo3bo839boo4bo$348bobbo11bo6boo5boob
oo7bo9bobo81boo3boo36bo4bo840bobobbo$349bobbo9boo11bobbo3bo3boo12bo87b
4o36boo847bo$350bo11bobo10bobboob3ob3o99bo4bo37bobo841bobbo$352bobo11b
o5bobo3boo4b3o95bo4bo4bo882bobo$354boo9bo3b3o4bobbo5boo38b3o53boo3boo
17bo19bo6boo841bobo$355bo9bo3boo5bo6boo40bo55bobo3bo16bobo17b5o4bobbo
839boo20boo$354boo15boobobobbo5bo40bo58b5o10bo3bobbo10boo4bo6boo753bo
10boo77bo20boo$353b3o7bo4boobbo5b3o3boo42boo55b4o10boo4boo11bobo11bo
752b5o6boo93boo5bo$348boobooboo6b4obo8bobobobo3bo42bo55boo5bo6bobo16bo
5boboo6bobo748bobboo8bo7boo82boo5boo$348bo3boboo4boobobo5boo4bobo4bo
101bo3boo27boo4bo4bobo754boobo5boo6b3obo83bo4bobobboo$348bob3obbo4boob
o6b4o4boo5bo40bo29boo35bo6boboo15bobbo6b3o764boo3boboo89boo3boob4o$
353boo7bob4obob3o7boo40b4obo26boo37b3ob4obobo13bo6booboo759bobo6boo93b
oo10bo$352b3o10b3o55bo4bo28bo37boboobbo3bo15bobobobbo766b3obo4bo101bo
35boobo$362b3obooboo9boobo4bo35bo4boo5boo21bo34bobboo6b3o784b3o3bo4bo
96bo41bo3bo$363boo14bo3bo3boo37bobb3o4bobo16b6o28boo3bobo10bo15bo4bo
764bo7bo100boo3boo33bo4bo$351b3o20bobooboobboobbobo40boo4bo18bobbo29b
oo3bobbo10b3o14b4o765bo6bo106b4o33boo$351b3o19boobooboobb4o30boo8boob
oo7bo15b6o29bo3bo14bo896bo4bo34bobo$373bobo7bo32bobbo8boboo6bobbo14bo
3bo27boo3bo15b3o784bo104bo4bo4bo$350boo29b3o33bobo8bobo7bobbo13boo31b
oo12boobo4boo888boo3boo34bo6boo$350bo28b5o34bo10boo4b3obbo12boob3o43bo
boo3bobo20boo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo
34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo110bobo3bo33b5o4bobb
o$379boobbo49bobobbo11boobbo3bo30boo5boo4boboo3b3o21boo34boo34boo34boo
34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo
34boo34boo34boo34boo113b5o10bo14boo4bo6boo$379boobboboo45boob4o7b3ob3o
bo32bo7boo6bo5b3o20bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo
35bo35bo35bo35bo35bo35bo35bo35bo35bo115b4o10boo14bobo11bo$375boobbobob
3obo45boboo9bo5bobo28bobb5o5bobo4boo4bobo892boo5bo6bobo13bo5boboo6bobo
7bo$374boobb4o4bo46bobo4b3o4bo7boo21boobbobo4bobo4b3o4boobboo896bo3boo
24boo4bo4bobo10boo$376bo4b3o3bo46boo13bo28bobobo4bo8boo6bobo16bo888bo
6boboo12bobbo6b3o5bo5bobo$384boobobo51bobo34bo3bo15bobo3boo3bo12bobo
888b3ob4obobo10bo6booboo5boo$381booboobobo53bobb4o34booboo15b4o14bobbo
888boboobbo3bo12bobobobbo7bobo3boobobo$381b4o58booboo33bo18bobo20boo
888bobboo6b3o29bo7boo$384bo61bo5b3o26booboo16b4o902boo3bobo10bo7bo4bo
4bo10bo4bo5boo$380boobboo58boo6bobb3o44b4o9boo768boo120boo3bobbo10b3o
3bobo5b4o11bobbobb6o$377boo4bobbo57bo8bobo47boo10bobo767bobo121bo3bo
14bo4boo$377bobbooboo54boobo15bo49boo5bo769bo121boo3bo15b3o$377bobobb
3o54bo3bo12bo51bobo3boobbo769bo118boo20boo$382bobo54bo3bo14bobo47bo11b
o767boo139boo27bo$382boo51boo4bobo7boobo6bo49bo3boo3b3o765boo118boo19b
oo27boo$377boobb3o50bobbo12boo3bobbobbo49boo4boo4bo763boo117bo22boo26b
obo$377bobobo53bobo4bobo6bobbobbo3bo55b7o39bo719booboo114bobb5o19boo$
377bo3boo53bo14bobbobbo3bo56b4o40b5o716bo4bo108boobbobo4bobo19boo$378b
oobobo60boo5bo6bobo64bo36bobboo716bob4o108bobobo4bo24bo$378boobo64bo9b
oo66b4o36boobo719boo108bo3bo28bo50bo$378bobbobo63boo6b3o6boo62bo758boo
114booboo17boo53boo$378boo72bo3bo6boo58b6o38bobo717boo111bo24bobobbobo
47bobo$378boo4bo63boboboobo9bo51b3o3boboo14bo747bo110booboo20bo3bobo$
379boboobo65boo15boo48bo5bobo14bobo17b3o6b3o716boo138boobbo50boo$377b
oobbobboo68bo11bo51bobbooboo14bobbo11bo4bobb3o4b3o586boo127bo140bobo
51boo$376b5o3bobo133bo14b3o3boo11boo5boob5ob3o574b3o9bobo127bo133boo3b
oo$376bo4bobbobbo63bobbo10bobbo25boo27bo3bo7bo18bobo3b3o4booboo575bobb
3o6bo9bo154bobo95boobob3o51boo$380bobbobbo75boobo28bobo24boo4bobo8bo
27bobo579bobo16boobo154boo97bobo22bo30bobbo$387bo73boo4bo26bo32bo7bo4b
o15b3o6bobbo584bo4boobbo3boobbo154bo122bobo28boobo$382boo3boo74bobobbo
6bo21bo31b3o4b3o16b3o7bo585bo6boobboboobbo252boo25bobo5b3o16b3o$382boo
boboo50boo27bo5boo18bobb3o31boboo5bobo14bobob4obbo585boboobo3b5o246b3o
5boo3bobo20bo6bo18bo$377boo3bobbobo50boo3bo21bobbo5bobo16boobo36bo8bo
16booboo598boo249bo6bobo36bo11boo3bo$376boo6boboo52boboo11boo9bobo25b
oob3o25boo3b3o10bo15b6o589bobb6o251bo4boo35bobbo10boo5boboo$378bobboob
4o54b3o9bobbo8bobo8boo46bobobboo12bo610b7o158boo94b4obo14bo11b3o6bobbo
11bo5b3o$381boo3boo54bo12bobo9boo7b4o13bo31bo4bo13bobo610b3o160bobo94b
oo16b5o8bo9bo15bob4o$381bobo60b3o9bo10bo5bobo16boboobo30bobo782boo5bo
114bobboo9bo10bobobboo6bobboo$382boo53boobo4boo24b3obbo12boboobobo27b
oo13bo6boo765bobo3boobbo113boobo8bobo10boobobbo3boo$381boo54boboo3bobo
24bo3boo8boob3oboboo28boo12b5o4bobbo17boo34boo34boo34boo34boo34boo34b
oo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo167bo11bo124bo17bo
bob3o$431boo4boboo3b3o24bobo10boo7boo30boo5boo4bo6boo20bobo33bobo33bob
o33bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo33b
obo33bobo33bobo170bo3boo3b3o112bobo7bo17bobo$430boo6bo5b3o5bo19boo4boo
6boboo3boo28bo8bobo11bo22bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35b
o35bo35bo35bo35bo35bo170boo4boo4bo119b3o12bobo$383b4o44bobo4boo4bobo4b
o20bo6boo42b4o5bo5boboo6bobo771b7o36bo67b3o6b3o3bobboo$382bo5bo42b3o4b
oobboo7b3o25boo5bo28bobb3obo4bo5boo4bo4bobo776b4o37b5o59bo4bobb3o4b3o
bbooboo21boo$381bo6bo42boo6bobo39bobbobbo26boobbob4o3bo5bobbo6b3o13bo
770bo33bobboo58boo5boob5ob3o3boboo21bobo$380boobo3boo44bobo3boo3bo36b
4obbo26bobobobobbo9bo6booboo13bobo768b4o33boobo57bobo3b3o4booboo5bo23b
o$379bobbobbo10boo41b4o41bo6boo25b3obboo10bobobobbo15bobbo771bo105bobo
35bo$382boboobo8bobo36bobo43boo7boo3bo21boobo38boo767b6o35bobo57b3o6bo
bbo35boo$379bobo3boobo7bobo38b4o42bo8boboo22boboo15bo4bo779b3o3boboo
96b3o7bo38boo$381b3o3boobo3bo42b4o37bo15b3o41b4o10bo595bo173bo5bobo31b
3o6b3o56bobob4obbo35boo27bo$385boobbo3b4obo39boo37b5o12bo56boo594boo
174bobbooboo26bo4bobb3o4b3o57booboo35booboo27boo$381bo4bo3bobo5bo78bo
bboo14b3o46bo5bobo593bobo175bo14b3o13boo5boob5ob3o57b6o34bo4bo26bobo$
382bobboo3bo3b3o76boo14boobo4boo45boo782bo3bo7bo15bobo3b3o4booboo98bob
4o$472bobbo3boobbo5boboo3bobo45bobo3boobobo594boo174boo4bobo8bo24bobo
10b3o92boo6b3o17boboboo$388bobo5boo75bobo13boboo3b3o49bo7boo592boo180b
o7bo4bo12b3o6bobbo10bo94boo6bo19boobboo$387bo8boobo74bo6bobo6bo5b3o48b
o4bo5boo774b3o4b3o13b3o7bo6b3o6bo92boo7bo17bobbobo$387boo6bobbo91boo4b
obo48bobbobb6o587boboo186boboo5bobo11bobob4obbo4bo6bobo94bo8boo$393boo
b6o81b3o4boobboo102b3o544b4o189bo8bo13booboo9bo4boob4o90boo7boobbo$
384boobboo3booboo3bo89bobo8boo94bobb3o541bo3boo179boo3b3o10bo12b6o10b
4ob5oboo78boo7bo7bo4bo11b3obobo$384bobb3obbo92bobo3boo3bo5bobo55b3o36b
obo548bobbo3bo11bo11bo148bobobboo12bo28boo7boobo77bobo7bo3b4o16boobbo$
384bobo4b3o97b4o7bo57bobboo39bo551bo11boo12bo147bo4bo13bobo117boo9boo
bboo9boob3o5bo$391boo94bobo15bo53booboo38bo546boo3bob3o3bo5bobo9b3o
150bobo26bo120bo3boo6bo3bo3boo$395bo93b4o12boo47boo21bo26bobo542boo3bo
6boo166boo20boo5boobo120boo11boboobobbo$394bobo92b4o12boo46boo4bobo14b
obo18boobo6bo542bo10bobo3boobobo156boo21bobbobbooboo22bobo94bo6boo$
394bobo93boo12boo27bo21bobboboo14bobbo16boo3bobbobbo444bo97bo14bo7boo
155boo26booboo22b3o95bo6bo$500booboo27boo23boo13boo3boo11b3o4bobbobbo
3bo432boo9boo98boo11bo4bo5boo151bo22boobbo3bobo25bo107b3o$500bo4bo26bo
bo22boo4bo7boo17bo6bobbobbo3bo431boo3bo6bobo110bobbobb6o152b4o19bo8bo
25bo104boob4o$500bob4o52bo4b3o6bobbo17bo3bo6bobo434boboo15b3o149b3o
105bobb3obo4bo158boo8boobo$477boobo23boo6b3o17boboboo26boo6boobo14bobb
o8boo439b3o5bobo4booboo149bobb3o101boobbob4o3bo19b3o137bobbo5bo3bo$
477bo3bo22boo6bo19boobboo28boobobboo3bo13bobbo6b3o439bo6boobobobo119b
3o33bobo103bobobobobbo172bo4bo$477bo4bo10boo9boo7bo17bobbobo30bobo22bo
5bo3bo442b3obo6boboo117bobboo36bo104b3obboo18bo4boo47b3o87bobo8boo$
479boo11bobbo10bo8boo50bobbo4bobobo14boboboobo444boo7bo120booboo35bo
105boobo21boo53bo84b3o15bobo$481bobo9bobo9boo7boobbo43bo3b3o10bo16boo
448boo5boo116boo45bobo102boboo20bobobboo49bo83bobboo$494bo10bo7bo4bo
11b3obobo24boo16bobo18bo447b5o117boo4bobo32boobo6bo129b3o51boo81bobobb
o6bo6boo10boo$476bo6boo21bo3b4o16boobbo26bobobo606bobboboo31boo3bobbo
bbo128bobbo52bo83boobo5b5o4bobbo6boo3bo$475b5o4bobbo20boobboo9boob3o5b
o31boo13bobo13bobbo573boo13boo13b3o4bobbobbo3bo123boo144boo6bo6boo12bo
boo$469boo4bo6boo27bo3boo6bo3bo3boo28bobo610boo4bo7boo14bo6bobbobbo3bo
123bobobboo51boo81boo3bo15bo14b3o$452bo16bobo11bo7bo18boo11boboobobbo
28boobo10b3o6b3o18bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo
138bo4b3o6bobbo14bo3bo6bobo9boo113bobboboo51boo81bobo4boo4boboo6bobo
10bo$451bo17bo5boboo6boboboo19bo6boo42bo7bo4bobb3o4b3o17boo34boo34boo
34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo143boo6boobo11bobbo
8boo11boo118boo51bobo82boo11bo4bobo16b3o$451b3o16boo4bo4bobo6boo19bo6b
o41bo7boo5boob5ob3o16bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo33b
obo33bobo33bobo33bobo33bobo145boobobboo3bo10bobbo6b3o5boo5bo113bo3b3o
28boo17booboo91bobo7b3o10boobo4boo$470bobbo6b3o40b3o33b3o6bobo3b3o4boo
boo598bobo19bo5bo3bo5boo5boo105boo5boo3boo28boo17booboobo97booboo11bob
oo3bobo$470bo6booboo37boob4o29bobbo3boo16bobo601bobbo4bobobo11boboboob
o8bo4bobobboo99boo5bo36bobo11boo3boboo94bobobobbo7boo4boboo3b3o$472bob
obobbo39boo8boobo17b3ob3obb5o6b3o6bobbo12bo583bo3b3o10bo13boo14boo3boo
b4o99bo4bobo34b3o11bobobbobbo108boo6bo5b3o$520bobbo5bo3bo16bo5bobbobo
7b3o7bo14bobo581boo16bobo15bo11boo10bo100boobbo35boo12bo7bo96bo4bo7bob
o4boo4bobo5boobo$474bo4bo49bo4bo16bo3bo4bo10bobob4obbo12bobbo580bobobo
55bo100boo16b3o21bobo3bo10bobbo97b4o8b3o4boobboo8bo3bo$475b4o41bobo8b
oo20boobobbo13booboo17boo586boo13bobo10bobbo17bo124bobb3o12boo10bo7b4o
bo110boo6bobo10bo4bo$515b3o15bobo18bobo16b6o599bobo53boo122bobo13b4o5b
obobo7boo116bobo3boo3bo9boo$515bobboo34bobo620boobo19b3o160bo10bo3bo6b
3ob3obo125b4o13bobo$511boo3bobobbo6bo6boo50b3o449b3o136bo22b3o5b3o149b
o13bobo7b3o5bobbo118bobo$510bobbo4boobo5b5o4bobbo47bo451bo137bo20b6o3b
oo154bobo6b4obo8boo8bo120b4o10bo6boo$511bobo5boo6bo6boo44b3o6bo450bo
135b3o27booboo145boobo6bo5booboo129boo4bo4b4o9b5o4bobbo$512bo6bo15bo
44bo6bobo452boo128bobbo3boo20bo4b5o144boo3bobbobbo6boo22bo108boo3boo5b
oo4boo4bo6boo$521boo4boboo6bobo41bo4boob4o450bo123b3ob3obb5o20bo4bob3o
138b3o4bobbobbo3bo11boo16boo126bobo11bo$528bo4bobo47b4ob5oboo571bo5bo
bbobo22bo147bo6bobbobbo3bo10bobbo15bobo125bo5boboo6bobo$522bobo7b3o6bo
42boo7boobo443bo127bo3bo4bo73boo99bo3bo6bobo11bo128boo17boo4bo4bobo$
529booboo6boo93boo400b4obo127boobobbo18b3o3boo9b3o35boo97bobbo8boo15b
3o18boo102boboo18bobbo6b3o$524bobobobbo8bobo54bo36boo3bo397bo4bo128bob
o21bo14boobbo37bo97bobbo6b3o36boo102b3o19bo6booboo$597bo38boboo398bo4b
oo5bo21bo98bobo22bobboo10b3o40boo95bo5bo3bo129b3o10bo22bobobobbo$526bo
4bo11boo51bobboo37b3o399bobb3obboo23boo124booboo8bo40bo99boboboobo34bo
boo27b3o62bobb3o11bob3o$527b4o12boo51boboobo36bo405boo3boo21boo120bo4b
o155boo37b4o28bo65bobo13boobbo16bo4bo$590boo4boo15bo26b3o398booboo147b
4oboo52bobbo103bo34bo3boo27bo69bo14boo16b4o$539boboo27b3o17bobobb3o14b
obo18boobo4boo399boboo147bo57boo146bobbo4boo21boo63bo15boo$538b4o28bo
19bo3bo17bobbo17boboo3bobo399bobo52b3o94boo3bo50bo105bobbo46boo18b3obb
o65bobo$538bo3boo27bo21boo3bo9boo3boo12boo4boboo3b3o299boobo7b3o87boo
52bo95b6o28boo17boobbobo145boo3bo4bo16bo74bo6bo$516bo26bobbo4boo21boo
17bo4bo9bobo15boo6bo5b3o299bo3bo6bo144bo85boo6boo33bobo16bobobbo146boo
3bo22bobbobo65bobbo$515b5o30boo18b3obbo24bo7bo18bobo4boo4bobo299bo4bo
7bo7boo135boo82bobo3boobbo32bo14bo3bobo150bo9b3o17bobo65bobbo$515bobb
oo11boo9boo3bo4bo16bo24boo4boo7b3o15b3o4boobboo304boo7bobo4boobo137bo
82bo5b3o35boo11boo4boo150bo7bob4o12bo71bobbo$517boobo9bobbo8boo3bo22bo
bbobo27boo4bob3o13boo6bobo308bobo4b3obobboo225bo40bobbo9bobo3boo151boo
3b6o13boobobo$531bobo9bo9b3o17bobo27b3obo4bo16bobo3boo3bo311bo3boobboo
136bo29boo57boo17boo20bo17b3o154boo4boo7boboo3bo3bo68bobo$520bobo9bo
10bo7bob4o12bo40boobbo20b4o309boob4oboo137b4obo26boo76boo3bo19bobob3o
7bo3bo144boo8boo4bo7boobooboboo73bo$544boo3b6o13boobobo29bo3bo6bobo14b
obo315b7o139bo4bo28bo77boboo27bo4boobbo145bobo8bo7bo4bobo3bobo$513b3o
6b3o22boo4boo7boboo3bo3bo23b3obboobo27b4o459bo4boo5boo21bo77b3o20bo9bo
151boo8bo7bo13bo67boo4bo$508bo4bobb3o4b3o21boo4bo7boobooboboo26bo4boo
12bobo14b4o461bobb3o4bobo16b6o76bo23b4oboob4o160boo4bo81boo4boo$452bo
38bo15boo5boob5ob3obbo19bo7bo4bobo3bobo29bobboo30boo466boo4bo18bobbo
80b3o29boo168bo4bobo74bobboboo$451bo37boo16bobo3b3o4booboo3bobo17bo7bo
13bo26bobo18bobo478booboo7bo15b6o71boobo4boo200boboobo77booboo$451b3o
36boo27bobo6boo19boo4bo41boo12boobo6bo478boboo6bobbo14bo3bo71boboo3bob
o200boo8bo$509b3o6bobbo35bo4bobo32bobo10boo3bobbobbo17b3o33b3o33b3o33b
3o33b3o33b3o33b3o33b3o33b3o170bobo7bobbo13boo69boo4boboo3b3o20boo8b3o
167bobboo4b5o63b3obbo$508b3o7bo39boboobo40b3o4bobbobbo3bo19bo35bo35bo
35bo35bo35bo35bo35bo35bo171boo4b3obbo12boob3o66boo6bo5b3o13bo6boo8bo
170boo6bobboo63bobb3obo$510bobob4obbo37boo8bo26boo7bo6bobbobbo3bo18bo
35bo35bo35bo35bo35bo35bo35bo35bo176bobobbo11boobbo3bo67bobo4boo4bobo
12bobo6bo9bo168b3o8boobo63b6o$512booboo41bobboo4b5o20bobbooboo7bo3bo6b
obo483boob4o7b3ob3obo71b3o4boobboo15bo20boo161boobbo$512b6o41boo6bobb
oo15booboo3bobbo5bobbo8boo13bo473boboo9bo5bobo71boo6bobo18bobbo17bo
160boobboo13bobo52bo6boo$558b3o8boobo13boo3bo13bobbo6b3o12bobo472bobo
4b3o4bo7boo71bobo3boo3bo16bobbo179bobboo25boobo37boo5bobbo$554boobbo
29bobobobb3o8bo5bo3bo13bobbo472boo13bo84b4o19boo14bo29boo136bo7b3o6b3o
8bo3bo36bobo3boobo$553boobboo13bobo33boboboobo15boo480bobo86bobo37b4ob
o26boo137boo6bobb3o4b3o7bo4bo39bo$549boo4bobboo30b3obbo14boo503bobb4o
19bo62b4o34bo4bo28bo145boob5ob3o9boo40bo$548bobbo5bo7b3o6b3o13boo22bo
336bo13bo149booboo20boo62b4o35bo4boo5boo21bo135b3o4b3o4booboo12bobo37b
obbo$549bobo5boo6bobb3o4b3o46boo316boo7bobo9bobo152bo21bobo62boo38bobb
3o4bobo16b6o136bo10bobo$550bo15boob5ob3o33bobbo8boo316boo8boo11boo150b
oo131boo4bo18bobbo133boo3b3o7bobbo10bo6boo$558b3o4b3o4booboo40boo5bo
318bo172bo26boo101booboo7bo15b6o131bobo4bo7bo12b5o4bobbo$560bo10bobo
42boo5boo320boo164boobo28boo102boboo6bobbo14bo3bo132boo4b3ob4obbo4boo
4bo6boo$560b3o7bobbo44bo4bobobboo314bo166bo3bo131bobo7bobbo13boo144boo
boo8bobo11bo$562bo7bo7b3o39boo3boob4o479bo3bo25boo105boo4b3obbo12boob
3o142b6o7bo5boboo6bobo3bo$562b3ob4obbo5bo41boo10bo310bobbo166bobo24bo
bbo108bobobbo11boobbo3bo156boo4bo4bobo6b5o$564booboo10bo52bo38boobo
265boobo164bo30boobo108boob4o7b3ob3obo160bobbo6b3o7bobboo57bobo$564b6o
11boo43bo44bo3bo263boo4bo163boo3bobo18b3o114boboo9bo5bobo160bo6booboo
10boobo56boo$582bo45boo3boo36bo4bo264bobobbo161boo25bo116bobo4b3o4bo7b
oo160bobobobbo73bo$633b4o36boo271bo49boo118boo13boo3bo116boo13bo190bob
o$579bo29boo21bo4bo37bobo265bobbo48boo121bo11boo5boboo104boo13bobo175b
o4bo$576b4obo26boo17bo4bo4bo11bo294bobo50bo121boo11bo5b3o11boobo89bobo
14bobb4o170b4o9b3o6b3o$576bo4bo28bo15boo3boo15bobo19bo6boo265bobo52boo
133bob4o12bo3bo89boo14booboo180bo4bobb3o4b3o$577bo4boo5boo21bo13bobo3b
o15bobbo17b5o4bobbo263boo51bo121bobobboo6bobboo14bo4bo107bo5b3o172boo
5boob5ob3o$553b3o23bobb3o4bobo16b6o16b5o10bo3boo12boo4bo6boo187bo10boo
67bo176boobobbo3boo20boo107boo6bobb3o158boo9bobo3b3o4booboo$553bobb3o
10boo12boo4bo18bobbo18b4o10boo17bobo11bo186b5o6boo120bobbo25boo100bobo
b3o21bobo104bo8bobo159bobbo20bobo$554bobo11bobbo8booboo7bo15b6o16boo5b
o6bobo16bo5boboo6bobo182bobboo8bo7boo107boobo28bobo99bobo127boobo15bo
155boobo11b3o6bobbo$559bo9bobo9boboo6bobbo14bo3bo17bo3boo27boo4bo4bobo
188boobo5boo6b3obo105boo4bo26bo96bobo25bo6boo98bo3bo12bo160bo10b3o7bo$
557bo12bo10bobo7bobbo13boo28bo6boboo15bobbo6b3o198boo3boboo111bobobbo
6bo21bo81boo37b5o4bobbo95bo3bo14bobo10bo123boo17bobo13bobob4obbo$559bo
bo20boo4b3obbo12boob3o27b3ob4obobo13bo6booboo193bobo6boo120bo5boo18bo
bb3o78boo3bo28boo4bo6boo101bobo7boobo6bo8b5o119boo3bo15bo16booboo$552b
oobo6bo23bobobbo11boobbo3bo28boboobbo3bo15bobobobbo200b3obo4bo113bobbo
5bobo16boobo83boboo28bobo11bo110boo3bobbobbo8bobboo121boboo17b4o11b6o$
551boo3bobbobbo22boob4o7b3ob3obo31bobboo6b3o218b3o3bo4bo115bobo25boob
3o82b3o27bo5boboo6bobo98bobo6bobbobbo3bo10boobo122b3o20bo$452bo38bo36b
o16b3o4bobbobbo3bo3bobo17boboo9bo5bobo26boo3bobo10bo15bo4bo198bo7bo
117bobo8boo103bo30boo4bo4bobo111bobbobbo3bo136bo23bo$451bo37boo37bobo
14bo6bobbobbo3bo3boo18bobo4b3o4bo7boo23boo3bobbo10b3o14b4o199bo6bo119b
oo7b4o13bo90b3o26bobbo6b3o105boo5bo6bobo14bobo122b3o8bo3bo3b3o$451b3o
36boo36boo18bo3bo6bobo5bo19boo13bo32bo3bo14bo344bo5bobo16boboobo79boob
o4boo26bo6booboo108bo9boo143boo6boo4bobo4bo$545bobbo8boo35bobo36boo3bo
15b3o218bo127b3obbo12boboobobo80boboo3bobo28bobobobbo111boo6b3o10b3o6b
3o121boo17bobo$546bobbo6b3o37bobb4o30boo12boobo4boo346bo3boo8boob3obob
oo75boo4boboo3b3o42boo108bo3bo6bo4bobb3o4b3o120boo14boboobo$547bo5bo3b
o38booboo46boboo3bobo18boo34boo34boo34boo34boo34boo146bobo10boo7boo75b
oo6bo5b3o14boo14bo4bo5boo105boboboobo6boo5boob5ob3o120boo13bobo$549bob
oboobo42bo5b3o26boo5boo4boboo3b3o19boo34boo34boo34boo34boo34boo146boo
4boo6boboo3boo76bobo4boo4bobo13bobbo14b4o8bo100boo4boo10bobo3b3o4boob
oo121boo14bo$551boo44boo6bobb3o21bo7boo6bo5b3o18bo35bo35bo35bo35bo35bo
148bo6boo90b3o4boobboo17boo29boo97bobo7bo19bobo6b3o116boo$555bo41bo8bo
bo19bobb5o5bobo4boo4bobo354boo5bo84boo6bobo27bobo19bo100boo17b3o6bobbo
6bobb3o114bo$592boobo15bo11boobbobo4bobo4b3o4boobboo13bo345bobbobbo85b
obo3boo3bo7bo16b3o126bobbo8b3o7bo10bobo115bo$552bobbo36bo3bo12bo13bobo
bo4bo8boo6bobo14bobo344b4obbo18b3o70b4o9bobo10bo3boo4boo13bobbo25boo
91bobob4obbo13bo107boo$587boo3bo3bo14bobo9bo3bo15bobo3boo3bo11bobbo
346bo21bo68bobo14boo11bobo3bob3o11boobo28bobo92booboo15bo109bobobbobo$
586bobbo4bobo7boobo6bo14booboo15b4o14boo332bo11boo24bo69b4o24bobo5boo
11boo4bo26bo94b6o16bobo105bo3bobo$587bobo13boo3bobbobbo11bo18bobo351bo
bo13bo25boo66b4o32bo14bobobbo6bo21bo106boobo6bo107boobbo$588bo6bobo6bo
bbobbo3bo11booboo16b4o349boo8bo31bo67boo3boo48bo5boo18bobb3o103boo3bo
bbobbo108bobo$604bobbobbo3bo32b4o9boo202boo143b5o101bobo44bobbo5bobo
16boobo100b3o4bobbobbo3bo102boo3boo$597boo5bo6bobo34boo10bobo201bobo
142bobboo25boo74bo47bobo25boob3o97bo6bobbobbo3bo101boobob3o$599bo9boo
42boo5bo203bo174boo77bo44bobo8boo121bo3bo6bobo104bobo$600boo6b3o6boo
34bobo3boobbo203bo143boobbo22bobo77boo20bo23boo7b4o13bo103bobbo8boo$
605bo3bo6boo35bo11bo201boo165booboo79boo19b5o20bo5bobo16boboobo100bobb
o6b3o104boo$601boboboobo9bo37bo3boo3b3o199boo4bobo15bobo119bobo17boob
oobo77boo20bobboo24b3obbo12boboobobo68boobo30bo5bo3bo97b3o5boo3bobo96b
obo$603boo15boo34boo4boo4bo197boo5boo17boo135boo3boboo75booboo23boobo
23bo3boo8boob3oboboo69bo3bo20bo10boboboobo98bo6bobo102boo$607bo11bo42b
7o39bo153booboo7bo17bo122b3o11bobobbobbo75bo4bo49bobo10boo7boo70bo4bo
20bo11boo103bo4boo105bo$663b4o40b5o150bo4bo161bo7bo13bo61bob4o25bobo
22boo4boo6boboo3boo72boo21bo16bo102b4obo$604bobbo10bobbo25boo21bo36bo
bboo150bob4o149bobo3bo10bobbo12b5o62boo50bo6boo88bobo139boo$615boobo
28bobo19b4o36boobo153boo155bo7b4obo13bobboo62boo27b3o12boo13boo5bo111b
oo4bobbo$614boo4bo26bo25bo192boo151bobobo7boo19boobo61boo28b3o11bobo
14bobbobbo83boo26bo$616bobobbo6bo21bo17b6o11bo26bobo151boo153b3ob3obo
89bo24b6o12boo14b4obbo84bobbo13boo4bo3bo$592boo27bo5boo18bobb3o9b3o3bo
boo12bobo181bo152b3o5bobbo22bobo60boo61bo6boo96b3o3bobbo$591boo3bo10b
oo9bobbo5bobo16boobo12bo5bobo13bobbo17b3o6b3o150boo153boo8bo85bo28bo
30boo7boo3bo75boobbo14boo4boo$593boboo9bobbo9bobo25boob3o10bobbooboo
14boo13bo4bobb3o4b3o90boo57bo141boobo35b3o6b3o59bo27bo32bo8boboo75bo
18boo$595b3o9bobo9bobo8boo33bo14b3o16boo5boob5ob3o78b3o9bobo57bo140bo
3bo29bo4bobb3o4b3o86bo27bo15b3o91b3o$595bo12bo11boo7b4o13bo21bo3bo7bo
18bobo3b3o4booboo79bobb3o6bo9bo190bo4bo27boo5boob5ob3o113b5o12bo77b3o
12bobo$597b3o20bo5bobo16boboobo15boo4bobo8bo27bobo83bobo16boobo191boo
29bobo3b3o4booboo81b3o3boo25bobboo14b3o89b4o$590boobo4boo24b3obbo12bob
oobobo22bo7bo4bo15b3o6bobbo88bo4boobbo3boobbo193bobo38bobo84bo44boobo
4boo9b3o57bo4boo14b3o$590boboo3bobo5bo18bo3boo8boob3oboboo25b3o4b3o16b
3o7bo89bo6boobboboobbo226b3o6bobbo85bobboo29boobbo5boboo3bobo9bobb3o
53boo21bo$452bo38bo36bo37bobo15boo4boboo3b3o4bo19bobo10boo7boo28boboo
5bobo14bobob4obbo89boboobo3b5o192bo6boo11boo13b3o7bo91booboo36boboo3b
3o10bobo55bobobboo$451bo37boo37bobo35boo15boo6bo5b3o4b3o18boo4boo6bob
oo3boo30bo8bo16booboo102boo194b5o4bobbobbobo3boo15bobob4obbo84bo4bo32b
obo6bo5b3o15bo56b3o168bo$451b3o36boo36boo37bo16bobo4boo4bobo25bo6boo
36boo3b3o10bo15b6o93bobb6o189boo4bo6boo6boo4boo7bo9booboo6b3o78b4oboo
41boo4bobo13bo57bobbo167bo$584b3o4boobboo35boo5bo30bobobboo12bo114b7o
190bobo11bo7bo10bo3boo7b6o5bo80bo40b3o4boobboo18bobo48boo174b3o$584boo
6bobo39bobbobbo29bo4bo13bobo114b3o192bo5boboo6bobo13boo4boo18bo80boo3b
o42bobo13boobo6bo47bobobboo$586bobo3boo3bo36b4obbo32bobo326boo4bo4bobo
15bo9bo19boo76b6o37bobo3boo3bo9boo3bobbobbo47bobboboo$592b4o41bo6boo
23boo13bo6boo309bobbo6b3o17b3obb4o21bo67boo6boo48b4o5b3o4bobbobbo3bo
51boo$588bobo43boo7boo3bo20boo12b5o4bobbo15boo34boo34boo217bo6booboo
15b5o5bo90bobo3boobbo38boo3bobo10bo6bobbobbo3bo46bo3b3o$590b4o42bo8bob
oo21boo5boo4bo6boo18bobo33bobo33bobo219bobobobbo17boo28bo29boo39bo5b3o
40bobo4b4o10bo3bo6bobo5boo32boo5boo3boo$590b4o37bo15b3o18bo8bobo11bo
20bo35bo35bo245bo25b4obo26boo43bo46boo4b4o7bobbo8boo7boo3bo28boo5bo$
591boo37b5o12bo20b4o5bo5boboo6bobo310bo4bo44bo4bo28bo42boo52boo9bobbo
6b3o9boboo30bo4bobo$625boo3bobboo14b3o8bobb3obo4bo5boo4bo4bobo11bo203b
oo98b4o46bo4boo5boo21bo106bo5bo3bo12b3o31boobbo$624bobbo14boobo4boo7b
oobbob4o3bo5bobbo6b3o11bobo202bobo104bo44bobb3o4bobo16b6o107boboboobo
13bo33boo$625bobo4boobbo5boboo3bobo7bobobobobbo9bo6booboo12bobbo194boo
5bo105boo48boo4bo18bobbo111boo19b3o$626bo15boboo3b3o11b3obboo10bobobo
bbo15boo195bobo3boobbo102bobo44booboo7bo15b6o113bo9boobo4boo$634bobo6b
o5b3o10boobo234bo11bo148boboo6bobbo14bo3bo123boboo3bobo$643boo4bobo11b
oboo15bo4bo215bo3boo3b3o101boo43bobo7bobbo13boo114bobbo3boo4boboo3b3o$
636b3o4boobboo34b4o10bo99bo8bo13bo82boo4boo4bo100boo19b3o22boo4b3obbo
12boob3o118boo6bo5b3o$644bobo49boo98boo7bo15bo87b7o36bo84bobb3o23bobo
bbo11boobbo3bo119bobo4boo4bobo$638bobo3boo3bo5b3o32bo5bobo97bobo6b3o
11b3o88b4o37b5o56boboo22bobo24boob4o7b3ob3obo123b3o4boobboo$644b4o7bo
33boo226bo9bobo21bobboo55b4o28bo12boo8boboo9bo5bobo123boo6bobo294bobo$
640bobo13bo32bobo3boobobo98boo115b4o8boo23boobo54bo3boo24bo14bobo7bobo
4b3o4bo7boo89bo33bobo3boo3bo291boo$642b4o12boo33bo7boo96boo119bo7bo87b
obbo23bobo11boo8boo13bo95b5o19boo15b4o294bo$642b4o13bo32bo4bo5boo210b
6o35bobo87bo27bobo101bobboo21bobo8bobo$643boo47bobbobb6o91boboo110b3o
3boboo96boo3bo22bobbo29bobb4o97boobo18boo3bo9b4o$656bo29boo106b4o111bo
5bobo31b3o6b3o54boo3bo22bobbo29booboo136b4o$653b4obo26boo107bo3boo110b
obbooboo26bo4bobb3o4b3o54bo26bobbo32bo5b3o95bobo25bo6boo$653bo4bo28bo
17b3o91bobbo109bo14b3o13boo5boob5ob3o54bo60boo6bobb3o120boo$630boobo
20bo4boo5boo21bo15bobboo205bo3bo7bo15bobo3b3o4booboo56boo25bobo30bo8bo
bo96b3o15bo5boobo$630bo3bo10boo9bobb3o4bobo16b6o13booboo12bo76boo3bo
109boo4bobo8bo24bobo10b3o75bo25boobo15bo94b3o13boo4b4o$630bo4bo8bobbo
12boo4bo18bobbo10boo19bobo17boo56boo3bo115bo7bo4bo12b3o6bobbo10bo103bo
3bo12bo93b6o14bo$632boo11bobo9booboo7bo15b6o7boo4bobo13bobbo4b3o9bobo
56bo121b3o4b3o13b3o7bo6b3o6bo69boo4bo25bo3bo14bobo10bo98bo$634bobo9bo
11boboo6bobbo14bo3bo9bobboboo14boo5bobb3o6bo9bo48bo123boboo5bobo11bobo
b4obbo4bo6bobo68boo4boo27bobo7boobo6bo8b5o78bo14boobo$658bobo7bobbo13b
oo15boo13boo10bobo16boobo48boo123bo8bo13booboo9bo4boob4o67bobboboo35b
oo3bobbobbo8bobboo78bo13bo87bo$629bo6boo21boo4b3obbo12boob3o13boo4bo7b
oo16bo4boobbo3boobbo165boo3b3o10bo12b6o10b4ob5oboo66booboo27bobo6bobbo
bbo3bo10boobo77bo14bo3bo80boo$605bo22b5o4bobbo3bo18bobobbo11boobbo3bo
14bo4b3o6bobbo11bo6boobboboobbo167bobobboo12bo28boo7boobo106bobbobbo3b
o107b3o82boo$452bo38bo36bo37bobo35bo17boo4bo6boo5boo18boob4o7b3ob3obo
24boo6boobo13boboobo3b5o169bo4bo13bobo98b3obbo34boo5bo6bobo14bobo69b3o
3boo$451bo37boo37bobo35boo36b3o15bobo11bo6boo18boboo9bo5bobo26boobobb
oo3bo20boo83bo91bobo114bobb3obo34bo9boo89bo258bo$451b3o36boo36boo37bo
54bo5boboo6bobo22bobo4b3o4bo7boo25bobo20bobb6o83boo87boo20boo98b6o30b
oo4boo6b3o10b3o6b3o68bobboo252bo$623boo4bo4bobo27boo13bo32bobbo4bobobo
11b7o78bo5bobo86boo21bobbo131bobo8bo3bo6bo4bobb3o4b3o70booboo249b3o$
623bobbo6b3o35bobo33bo3b3o10bo13b3o79boo95boo33b3o74bo6boo37boo4bobob
oobo6boo5boob5ob3o65bo4bo$623bo6booboo38bobb4o26boo16bobo93bobo3boobob
o83bo22boobbo11bo73boo5bobbo44boo10bobo3b3o4booboo65b4oboo$625bobobobb
o40booboo28bobobo113bo7boo81b4o19bo14bo74bobo3boobo49bo19bobo6b3o59bo$
676bo5b3o26boo13bobo11b3o80bo4bo5boo71bobb3obo4bo112bo64b3o6bobbo6bobb
3o57boo3bo$627bo4bo41boo6bobb3o18bobo31bobbo79bobbobb6o71boobbob4o3bo
19b3o89bo52bobbo8b3o7bo10bobo58b6o$628b4o42bo8bobo19boobo10b3o6b3o12b
oo126b3o32bobobobobbo115bobbo63bobob4obbo13bo46boo6boo$669boobo15bo17b
o7bo4bobb3o4b3o13bo125bobb3o33b3obboo18bo4boo9bo37b3o108booboo15bo48bo
bo3boobbo$663boo4bo3bo12bo18bo7boo5boob5ob3o7bobb4o90b3o33bobo34boobo
21boo14bobo36bo110b6o16bobo44bo5b3o$662bobbo3bo3bo14bobo13b3o6bobo3b3o
4booboo7bo97bobboo36bo32boboo20bobobboo9bobo37bo124boobo6bo46bo$663bob
o5bobo7boobo6bo8bobbo3boo16bobo13bo93booboo35bo62b3o10bo40boo120boo3bo
bbobbo46boo$664bo15boo3bobbobbo3b3ob3obb5o6b3o6bobbo12bo89boo45bobo57b
obbo52bo114b3o4bobbobbo3bo$672bobo6bobbobbo3bo3bo5bobbobo7b3o7bo14boo
88boo4bobo32boobo6bo51boo20boo142bo9bo6bobbobbo3bo$681bobbobbo3bo4bo3b
o4bo10bobob4obbo13boo89bobboboo31boo3bobbobbo51bobobboo14bobbo33boo
105b3o11bo3bo6bobo$674boo5bo6bobo7boobobbo13booboo110boo13boo6bo6b3o4b
obbobbo3bo51bobboboo14bobbo33boo104boobbo7bobbo8boo$676bo9boo11bobo16b
6o109boo4bo7boo8bo5bo6bobbobbo3bo55boo16boo33bobo103boo4bo7bobbo6b3o$
677boo6b3o11bobo132bo4b3o6bobbo3b3o8bo3bo6bobo9boo40bo3b3o28boo17boob
oo86boobo15boobboo9bo5bo3bo$682bo3bo153boo6boobo11bobbo8boo11boo33boo
5boo3boo16bo11boo17booboobo85bo3bo15boo14boboboobo396bobo$678boboboobo
156boobobboo3bo10bobbo6b3o5boo5bo32boo5bo22b3o11bobo11boo3boboo87bo4bo
15bo16boo400boo$667boo11boo161bobo19bo5bo3bo5boo5boo34bo4bobo34b3o11bo
bobbobbo89boo22boo14bo398bo$666boo16bo158bobbo4bobobo11boboboobo8bo4bo
bobboo31boobbo35boo12bo7bo91bobo20boo$667bobo168bo3b3o10bo13boo14boo3b
oob4o29boo16b3o7boo12bobo3bo10bobbo115boo9bobbo$667b3o11bobbo152boo16b
obo15bo11boo10bo46bobb3o5bo18bo7b4obo94boo19b3o$667boo168bobobo55bo47b
obo7bo14bobobo7boo99bobbo10b3o3bo$669bobo170boo13bobo10bobbo17bo58bo
21b3ob3obo117bo5bo$837bobo53boo53bo23b3o5bobbo98boobbo10b3o3boo$671bob
o9boo151boobo19b3o88bobo20boo8bo98bo15bo$673b3o3boobbobo151bo22b3o17b
oo61boobo6bo145bo$673bo4bo4b3o150bo20b6o18boo59boo3bobbobbo30bo98b3o$
672bo6bobo153b3o42bo55b3o4bobbobbo3bo29boo$667boboobo4bo153bobbo3boo
20bo75bo6bobbobbo3bo29bobo93bo4boo202bo$666booboobo8bobo142b3ob3obb5o
20bo78bo3bo6bobo125boo123bo82boo$605bo38bo21bobo4bo152bo5bobbobo22bo
75bobbo8boo36boo90bobobboo118bobo81boo$452bo38bo36bo37bobo35bo37boo27b
oo9boo143bo3bo4bo73boo25bobbo6b3o36boo94b3o118boo$451bo37boo37bobo35b
oo36b3o36boo26bo3bo153boobobbo18b3o3boo47boo27bo5bo3bo132bobbo354bo$
451b3o36boo36boo37bo102bo3bo155bobo21bo56bo28boboboobo34boboo27b3o60b
oo360bo$830bobo22bobboo53boo27boo26boo9b4o28bo62bobobboo355b3o$670bobb
o184booboo12bo36bo33bo23bobo8bo3boo27bo61bobboboo$669boobo180bo4bo15bo
bo94boo13bobbo4boo21boo61boo$669bo182b4oboo15bobo34bobbo28bobbo46boo
18b3obbo56bo3b3o$668boo182bo22bo34boo73boo3bo4bo16bo54boo5boo3boo$668b
o184boo3bo50bo75boo3bo22bobbobo47boo5bo$669bo182b6o28boo17boobbobo74bo
9b3o17bobo49bo4bobo$843boo6boo33bobo16bobobbo75bo7bob4o12bo57boobbo$
843bobo3boobbo32bo14bo3bobo79boo3b6o13boobobo53boo$843bo5b3o35boo11boo
4boo82boo4boo7boboo3bo3bo$846bo40bobbo9bobo3boo82boo4bo7boobooboboo$
846boo17boo9b4o7bo17b3o83bo7bo4bobo3bobo$864boo3bo6bo3bo8bobob3o7bo3bo
83bo7bo13bo$866boboo6bo3bo16bo4boobbo85boo4bo$868b3o6b3o11bo9bo98bo4bo
bo$868bo10bo12b4oboob4o97boboobo$660boo208b3o6boo21boo97boo8bo$660bobo
200boobo4boo6boo120bobboo4b5o501bobo$631bo21boo5bo202boboo3bobo115boo
12boo6bobboo501boo$630boo21bobo3boobbo193boo4boboo3b3o30b3o82bobo10b3o
8boobo501bo$630bobo20bo11bo190boo6bo5b3o30bo85boo6boobbo$656bo3boo3b3o
189bobo4boo4bobo31bo91boobboo13bobo$632b3o21boo4boo4bo188b3o4boobboo
36boo90bobboo25boobo$631b3o28b7o188boo6bobo39bo92bo7b3o6b3o8bo3bo69bo$
633bobo27b4o192bobo3boo3bo129boo6bobb3o4b3o7bo4bo66boo$635b3o227b4o35b
o29boo73boob5ob3o9boo69boo$635b3o223bobo37b4obo26boo66b3o4b3o4booboo
12bobo$638bo6bo217b4o34bo4bo28bo67bo10bobo$635bobbo6boo216b4o35bo4boo
5boo21bo65b3o7bobbo10bo6boo$634bo3bo5bobo217boo38bobb3o4bobo16b6o66bo
7bo12b5o4bobbo$630booboo3bo255boo12boo4bo18bobbo68b3ob4obbo4boo4bo6boo
253bo$629boo7bo255bobo8booboo7bo15b6o68booboo8bobo11bo168bo82boo$605bo
25boboobbo257boo9boboo6bobbo14bo3bo68b6o7bo5boboo6bobo3bo160bobo81boo$
452bo38bo36bo37bobo35bo32bo6bobo259bobo7bobbo13boo86boo4bo4bobo6b5o
157boo$451bo37boo37bobo35boo36b3o27bobo8boo260boo4b3obbo12boob3o84bobb
o6b3o7bobboo393bo$451b3o36boo36boo37bo67bo9bo265bobobbo11boobbo3bo84bo
6booboo10boobo391bo$634bo275boob4o7b3ob3obo72b3o15bobobobbo407b3o$633b
obo275boboo9bo5bobo73b3o37bobo$633bobo275bobo4b3o4bo7boo71booboo14bo4b
o$632bo279boo13bo79bobo16b4o9b3o6b3o$632boo285bobo86bo25bo4bobb3o4b3o$
632boo287bobb4o105boo5boob5ob3o$921booboo107bobo3b3o4booboo$924bo5b3o
112bobo$922boo6bobb3o99b3o6bobbo$922bo8bobo100b3o7bo$917boobo15bo64boo
33bobob4obbo$917bo3bo12bo65boo3bo32booboo$912boo3bo3bo14bobo10bo52bob
oo32b6o$912bobo4bobo7boobo6bo8b5o51b3o$913boo13boo3bobbobbo8bobboo51bo
$920bobo6bobbobbo3bo10boobo52b3o$929bobbobbo3bo67boo$922boo5bo6bobo14b
obo51boo507bobo$924bo9boo71boo33bo473boo$925boo6b3o10b3o6b3o49boo33bo
474bo$930bo3bo6bo4bobb3o4b3o48boo$926boboboobo6boo5boob5ob3o49boo$928b
oo10bobo3b3o4booboo51bo29bo$932bo19bobo6b3o44bo29bo63bo$942b3o6bobbo6b
obb3o36boo95boo$929bo11b3o7bo10bobo38bobobbobo90boo$931b3o9bobob4obbo
13bo35bo3bobo$932b3o10booboo15bo40boobbo$931booboo9b6o16bobo37bobo$
932b3o25boobo6bo30boo3boo$666boo291boo3bobbobbo29boobob3o280bo$666bobo
264bo19b3o4bobbobbo3bo31bobo21bo176bo82boo$605bo53boo5bo266b4o16bo6bo
bbobbo3bo54bo177bobo81boo$452bo38bo36bo37bobo35bo54bobo3boobbo10bobo
247boboobo20bo3bo6bobo29boo24b3o175boo$451bo37boo37bobo35boo36b3o52bo
11bo9boo246b4o20bobbo8boo24b3o5boo3bobo432bo$451b3o36boo36boo37bo94bo
3boo3b3o7bo248bo3bo19bobbo6b3o24bo6bobo437bo$662boo4boo4bo246boobo5boo
boo20bo5bo3bo26bo4boo439b3o$668b7o36bo209bo3bo31boboboobo29b4obo$669b
4o37b5o206bo4bo4bobo25boo34boo$676bo33bobboo208boo7bo30bo$675b4o33boob
o209bobo4bo$679bo280bobbo$674b6o35bobo209boo$668b3o3boboo250bobbo$668b
o5bobo31b3o6b3o$669bobbooboo26bo4bobb3o4b3o206boobbo$671bo14b3o13boo5b
oob5ob3o206bo$674bo3bo7bo15bobo3b3o4booboo$622boo48boo4bobo8bo24bobo
10b3o198b3o$621boo55bo7bo4bo12b3o6bobbo10bo$592boo21boo5bo57b3o4b3o13b
3o7bo6b3o6bo194bo4boo$592bobo19boo5boo59boboo5bobo11bobob4obbo4bo6bobo
193boo$592bo23bo4bobobboo56bo8bo13booboo9bo4boob4o190bobobboo$593boo
23boo3boob4o46boo3b3o10bo12b6o10b4ob5oboo191b3o586bobo$593bobbo21boo
10bo45bobobboo12bo28boo7boobo189bobbo586boo$593bo36bo45bo4bo13bobo223b
oo594bo$595bobo26bo54bobo239bobobboo$599bo26boo47boo20boo222bobboboo$
597bobbo74boo21bobbo223boo$597bobbo10boo63boo31bobo208bo3b3o175bo$599b
3o8bobo61bo22boobbo3b4o203boo5boo3boo174boo$595b3ob3o10bo61b4o19bo7bob
3obo199boo5bo182boo$591b3oboobb3o64bobb3obo4bo30b3o201bo4bobo$591bo7b
oo64boobbob4o3bo19b3o6b3o205boobbo$592bo6boo64bobobobobbo33boo205boo$
595b5o69b3obboo18bo4boo8bobboo34b3o196bo$597boo69boobo21boo15bobbo34bo
196boo341bo$596boo71boboo20bobobboo11boo36bo196boo78bo176bo82boo$596b
oo99b3o10bo40boo272bo177bobo81boo$452bo38bo36bo37bobo26bobo14bo83bobbo
8boobbo39bo272b3o175boo$451bo37boo37bobo35boo26boo14bobo78boo16bo3bo
725bo$451b3o36boo36boo37bo26bobo14boo78bobobboo11bobbo36boo687bo$593bo
97bobboboo12b3o36boo687b3o$594boo99boo51bobo$690bo3b3o28boo17booboo$
682boo5boo3boo28boo17booboobo$681boo5bo36bobo11boo3boboo$683bo4bobo34b
3o11bobobbobbo$685boobbo35boo12bo7bo$685boo16b3o21bobo3bo10bobbo$703bo
bb3o24bo7b4obo$704bobo22bobobo7boo$709bo21b3ob3obo$707bo23b3o5bobbo$
709bobo20boo8bo$702boobo6bo$701boo3bobbobbo$695b3o4bobbobbo3bo$651boo
42bo6bobbobbo3bo$650boo46bo3bo6bobo804bobo$652bo42bobbo8boo807boo$654b
oo40bobbo6b3o17boo789bo$653bo43bo5bo3bo18bobo$699boboboobo20boo$652bo
bbo25boo18boo$649boobo28bobo21bo396bo$648boo4bo26bo418boo$650bobobbo6b
o21bo17bobbo395boo$655bo5boo18bobb3o$652bobbo5bobo16boobo$653bobo25boo
b3o$653bobo8boo281bo$654boo7b4o13bo264boo341bo$654bo5bobo16boboobo261b
oo78bo176bo82boo$658b3obbo12boboobobo341bo177bobo81boo$452bo38bo36bo
37bobo79bo9bo3boo8boob3oboboo342b3o175boo$451bo37boo37bobo35boo78bobo
9bobo10boo7boo757bo$451b3o36boo36boo37bo79boo10boo4boo6boboo3boo756bo$
659bo6boo770b3o$666boo5bo70boo$668bobbobbo69bobo$668b4obbo18b3o49boo$
671bo21bo$668boo24bo$670bo25boo$665bo31bo$664b5o$664bobboo25boo$694boo
$666boobbo22bobo$689booboo$668bobo17booboobo$684boo3boboo$670b3o11bobo
bbobbo$684bo7bo13bo$672bobo3bo10bobbo12b5o806bobo$583b3o92bo7b4obo13bo
bboo806boo$583bo90bobobo7boo19boobo51boo753bo$554boo20b3o6bo90b3ob3obo
77bobo$553boo21bo6bobo90b3o5bobbo22bobo50boo$554bobo20bo4boob4o88boo8b
o65b3o$554b3o22b4ob5oboo72boobo35b3o6b3o38bo348bo$554boo24boo7boobo71b
o3bo29bo4bobb3o4b3o30b3o6bo344boo$556bobo105bo4bo8b3o16boo5boob5ob3o
30bo6bobo345boo$666boo12bo16bobo3b3o4booboo32bo4boob4o$558bobo107bobo
7boo29bobo37b4ob5oboo$560b3o112b3oboboo16b3o6bobbo38boo7boobo$560bo6b
oo94bo6boo4boobb4o14b3o7bo238bo$559bo8boo92b5o4bobbobbo3boboo15bobob4o
bbo52bo181boo341bo$554boboobo4bobbo88boo4bo6boo11boo18booboo56bo182boo
78bo176bo82boo$553booboobo96bobo11bo31b6o54bobboo57boo199bo177bobo81b
oo$452bo38bo36bo24bobo4bo6bo88bo5boboo6bobo87boboobo55boo200b3o175boo$
451bo37boo37bobo27boo8boo87boo4bo4bobo85boo4boo61bo613bo$451b3o36boo
36boo28bo3bo4boo88bobbo6b3o86bobobb3o63boo609bo$557bo3bo95bo6booboo87b
o3bo65bo611b3o$659bobobobbo92boo3bo9boo4boo$557bobbo198bo4bo9bobo3bobo
42bobbo$556boobo101bo4bo99bo7bo6boo41boo$556bo105b4o94boo4boo7b3o45bo$
555boo112bo99boo4bob3o20boo17boobbobo$555bo112boo99b3obo4bo21bobo16bob
obbo$556bo111bobo105boobbo19bo14bo3bobo$769bo3bo6bobo18boo11boo4boo$
671boo32boo56b3obboobo29bobbo9bobo3boo$671boo19b3o9bobbo55bo4boo12bobo
16bo17b3o$692bobb3o6bo3bo56bobboo33bobob3o7bo3bo$667boboo22bobo12bo54b
obo18bobo24bo4boobbo$666b4o28bo9bo54boo12boobo6bo17bo9bo$666bo3boo24bo
6bo3bo55bobo10boo3bobbobbo18b4oboob4o$671bobbo23bobo5bo63b3o4bobbobbo
3bo28boo$701bobb3o54boo7bo6bobbobbo3bo$670boo3bo22bobbo56bobbooboo7bo
3bo6bobo13boo714bobo$670boo3bo22bobbo51booboo3bobbo5bobbo8boo15bobbo
713boo$671bo26bobbo50boo3bo13bobbo6b3o17b3o713bo$671bo82bobobobb3o8bo
5bo3bo12boo4boo$672boo8boo15bobo72boboboobo12bo$701bo54b3obbo14boo16bo
3bo$756boo22bo14b4o303bo$614b3o78boo4bo83bo16bobbo294boo$614bo79boo4b
oo75bobbo3b5o12b5o295boo$615bo80bobboboo81bobboo5boo4bo4bo$617boo79boo
boo22boo59boobo4boo4bo5bo$618bo106bobo73bobb3o$692b3obbo28boo61bobo11b
3o140bo$615bo29boo45bobb3obo138boo34boo34boo34bo341bo$612b4obo26boo47b
6o83b3o6b3o45boo34boo34boo34bo78bo176bo82boo$612bo4bo28bo130bo4bobb3o
4b3o43bo35bo35bo36bo77bo177bobo81boo$452bo38bo36bo74bo9bo4boo5boo21bo
35bo6boo83boo5boob5ob3o230b3o175boo$451bo37boo37bobo73boo9bobb3o4bobo
16b6o33boo5bobbo82bobo3b3o4booboo645bo$451b3o36boo36boo73boo14boo4bo
18bobbo35bobo3boobo95bobo647bo$616booboo7bo15b6o37bo90b3o6bobbo647b3o$
617boboo6bobbo14bo3bo36bo90b3o7bo$617bobo7bobbo13boo40bobbo89bobob4obb
o4b3o$618boo4b3obbo12boob3o133booboo8bobb3o$622bobobbo11boobbo3bo133b
6o8bobo$621boob4o7b3ob3obo156bo$622boboo9bo5bobo154bo$622bobo4b3o4bo7b
oo154bobo$623boo13bo154boobo6bo$630bobo110boo47boo3bobbobbo$632bobb4o
19bo84bobo40b3o4bobbobbo3bo$632booboo20boo85boo40bo6bobbobbo3bo$635bo
21bobo129bo3bo6bobo161boo$546bo86boo151bobbo8boo164boo$545boo86bo26boo
125bobbo6b3o$539bo5bobo80boobo28boo126bo5bo3bo$515b3o20boo88bo3bo157bo
boboobo$515bo22bobo3boobobo78bo3bo25boo80boo50boo722bobo$518bo23bo7boo
78bobo24bobbo78boo55bo719boo$515bobbo22bo4bo5boo102boobo73boo5bo776bo$
516bobbo21bobbobb6o78bobo18b3o77boo5boo52bobbo$517bo134bo81bo4bobobboo
$519bobo111boo13boo3bo82boo3boob4o$521boo112bo11boo5boboo78boo10bo353b
o$522bo113boo11bo5b3o11boobo75bo351boo$521boo10b3o115bob4o12bo3bo68bo
358boo$520b3o12bo101bobobboo6bobboo14bo4bo69boo3boo$515boobooboo11bo
104boobobbo3boo20boo76b4o8boo47boo$515bo3boboo122bobob3o21bobo72bo4bo
7bobo46bobo$515bob3obbo122bobo95bo4bo4bo8boo46bo$520boo118bobo25bo6boo
65boo3boo64bo168boo304bo$519b3o106boo10boo25b5o4bobbo62bobo3bo64boo
167boo42bo176bo82boo$627boo3bo6boo20boo4bo6boo70b5o10bo51boo210bo177bo
bo81boo$452bo38bo42bo94boboo5bobbo19bobo11bo70b4o10boo50boo211b3o175b
oo$451bo37boo27b3o14bo95b3o4bobbo19bo5boboo6bobo66boo5bo6bobo48boo626b
o$451b3o36boo26b3o12b3o95bo6bobo21boo4bo4bobo71bo3boo56boobbo624bo$
633b3o26bobbo6b3o79bo6boboo22bo18bobb3o626b3o$517boo107boobo4boo26bo6b
ooboo81b3ob4obobo19boo17boo$517bo108boboo3bobo28bobobobbo84boboobbo3bo
19bobo16bobo$620boo4boboo3b3o119bobboo6b3o31b3o3bo$619boo6bo5b3o30bo4b
o78boo3bobo10bo19b3o9bo6bobbo$620bobo4boo4bobo31b4o78boo3bobbo10b3o16b
3o11bo4bo$620b3o4boobboo118bo3bo14bo18bobo11boboo3bo$620boo6bobo118boo
3bo15b3o18b6o5b5o$622bobo3boo3bo115boo12boobo4boo9bo8b7obobo$628b4o
131boboo3bobo9boobbo10boo3bobo$624bobo123boo5boo4boboo3b3o4boo5bobbo
13bobo$626b4o118bo7boo6bo5b3o3bo3boo5bo$626b4o33b5o76bobb5o5bobo4boo4b
obo3boo5boobbo212boo$627boo3boo22boo6boboo71boobbobo4bobo4b3o4boobboo
7bobbo5bo213boo$632bobo23bo3b3o74bobobo4bo8boo6bobo10bobboo$632bo37bo
68bo3bo15bobo3boo3bo11bo$635bo33boo74booboo15b4o$635boo20bo12boo70bo
18bobo752bobo$635boo19b5o81booboo16b4o749boo$544bo89boo20bobboo102b4o
750bo$543boo85booboo23boobo102boo4b3o$537bo5bobo84bo4bo134bobb3o$536b
oo92bob4o5bo19bobo107bobo$536bobo3boobobo86boo5bobo132bo325bo$540bo7b
oo84boo5boo20b3o108bo325boo$539bo4bo5boo82boo28b3o109bobo35boo34boo34b
oo34boo34boo34boo105boo$539bobbobb6o85bo24b6o102boobo6bo33bobo33bobo
33bobo33bobo33bobo33bobo$587b3o45boo131boo3bobbobbo35bo35bo35bo35bo35b
o35bo31bo$587bobb3o42bo28bo97b3o4bobbobbo3bo246bobo$552b3o33bobo45bo
27bo97bo6bobbobbo3bo245bobbo$552bobboo36bo70bo100bo3bo6bobo239boo6boo
260bo$551booboo35bo93boo75bobbo8boo242boo183bo82boo$546boo45bobo62b3o
3boo19bobo75bobbo6b3o427bobo81boo$452bo38bo53boo4bobo16bo15boobo6bo61b
o27boo76bo5bo3bo6boo420boo$451bo37boo56bobboboo17bo13boo3bobbobbo62bo
bboo102boboboobo6boo3bo653bo$451b3o36boo57boo13boo3b3o7b3o4bobbobbo3bo
65booboo101boo12boboo652bo$549boo4bo7boo14bo6bobbobbo3bo60bo4bo109bo
11b3o651b3o$550bo4b3o6bobbo14bo3bo6bobo9boo49b4oboo121bo$556boo6boobo
11bobbo8boo11boo50bo112bobbo13b3o$558boobobboo3bo10bobbo6b3o5boo5bo51b
oo3bo116boobo4boo$559bobo19bo5bo3bo5boo5boo50b6o117boboo3bobo$559bobbo
4bobobo11boboboobo8bo4bobobboo36boo6boo116boo4boboo3b3o$554bo3b3o10bo
13boo14boo3boob4o34bobo3boobbo114boo6bo5b3o$553boo16bobo15bo11boo10bo
33bo5b3o117bobo4boo4bobo$553bobobo55bo36bo122b3o4boobboo$558boo13bobo
10bobbo17bo42boo121boo6bobo261bo$553bobo53boo164bobo3boo3bo257bobo$
552boobo19b3o203b4o258bobbo$553bo22b3o15boo181bobo256boo6boo$552bo20b
6o16boo106boo74b4o253boo$551b3o40bo108bobo73b4o$547bobbo3boo20bo127boo
74boo$542b3ob3obb5o20bo$542bo5bobbobo22bo939bobo$543bo3bo4bo73boo888b
oo$545boobobbo18b3o3boo47boo890bo$546bobo21bo56bo$546bobo22bobboo14bo
38boo$574booboo10bobo36bo$569bo4bo14bobo510bo$568b4oboo15bo36bobbo469b
oo$568bo57boo76boo395boo$569boo3bo50bo78bobo$568b6o21bo6boo17boobbobo
69boo5bo358bo$559boo6boo24bobo6bobo16bobobbo70bobo3boobbo354bobo$507b
oo50bobo3boobbo23bobo6bo14bo3bobo73bo11bo351bobbo$507bobo49bo5b3o27bo
7boo11boo4boo76bo3boo3b3o342boo6boo224bo$478bo21boo5bo54bo30boo8bobbo
9bobo3boo76boo4boo4bo8boo331boo147bo82boo$477boo21bobo3boobbo51boo17b
oo9bo3bo6bo17b3o82b7o8bobo479bobo81boo$452bo24bobo11bo8bo11bo67boo3bo
7bobbo8bobob3o7bo3bo83b4o11boo479boo$451bo37boo12bo3boo3b3o67boboo7bo
19bo4boobbo91bo724bo$451b3o25b3o8boo11boo4boo4bo68b3o20bo9bo95b4o58bo
662bo$478b3o28b7o68bo9bobo11b4oboob4o97bo56boo662b3o$480bobo27b4o72b3o
5boo22boo92b6o56bobo$482b3o94boobo4boo117b3o3boboo$482b3o94boboo3bobo
117bo5bobo62boo$485bo87boo4boboo3b3o118bobbooboo62boo$482bobbo86boo6bo
5b3o120bo14b3o$481bo3bo87bobo4boo4bobo123bo3bo7bo50boo$477booboo3bo87b
3o4boobboo124boo4bobo8bo46bobbo$476boo7bo87boo6bobo132bo7bo4bo43boobo$
478boboobbo90bobo3boo3bo131b3o4b3o22b3o16b3o309bo$484bo96b4o135boboo5b
obo18bo18bo310bobo$481bobo30boo61bobo142bo8bo21bo11boo3bo308bobbo$482b
o31bobo62b4o131boo3b3o10bo17bobbo10boo5boboo297boo6boo$481bo32bo64b4o
131bobobboo12bo5boo10bobbo11bo5b3o297boo$480bobo34bo62boo27boo103bo4bo
13bobo3bobo10bo15bob4o$480bobo34boo90bobo105bobo20boo12bobobboo6bobboo
$479bo37boo91boo101boo13bo6boo19boobobbo3boo$479boo35boo27bo167boo12b
5o4bobbo22bobob3o747bobo$479boo31booboo27boo168boo5boo4bo6boo26bobo
751boo$512bo4bo26bobo165bo8bobo11bo21bobo757bo$512bob4o194b4o5bo5boboo
6bobo$516boo6b3o17boboboo154bobb3obo4bo5boo4bo4bobo$516boo6bo19boobboo
153boobbob4o3bo5bobbo6b3o$516boo7bo17bobbobo154bobobobobbo9bo6booboo
368bo$518bo8boo178b3obboo10bobobobbo368boo$517boo7boobbo175boobo391boo
$517bo7bo4bo11b3obobo158boboo15bo4bo$518bo3b4o16boobbo180b4o368bo$520b
oobboo9boob3o5bo188boo361bobo$523bo3boo6bo3bo3boo189boo3bo357bobbo$
522boo11boboobobbo192boboo350boo6boo188bo$522bo6boo207b3o349boo111bo
82boo$523bo6bo96boo109bo464bobo81boo$452bo82b3o89bobo110b3o27bo35bo35b
o35bo35bo35bo35bo35bo35bo35bo108boo$451bo63bobo13boob4o19boo69boo103b
oobo4boo27boo34boo34boo34boo34boo34boo34boo34boo34boo34boo343bo$451b3o
62boo13boo23boo175boboo3bobo26bobo33bobo33bobo33bobo33bobo33bobo33bobo
33bobo33bobo33bobo342bo$516bo15bobbo22bo168boo4boboo3b3o695b3o$560boo
164boo6bo5b3o$532bobo24bo167bobo4boo4bobo$527b3o197b3o4boobboo$527bobb
oo26bobbo165boo6bobo$528bobobbo23boo170bobo3boo3bo4boobo14bo$530boobo
22bo178b4o6bo3bo12bobo$531boo19boobbobo172bobo11bo4bo11bo$531bo20bobo
bbo175b4o10boo14boo350bo$533boo13bo3bobo178b4o12bobo8bo353bobo$547boo
4boo179boo23bobo353bo$534bobo10bobo3boo189bo6boo5bo$552b3o13b3o172b5o
4bobbobboboo346boo$536bobob3o7bo3bo13bobb3o163boo4bo6boo6bo349boobboo$
544bo4boobbo15bobo73boo90bobo11bo360bobo$538bo9bo25bo70bobo89bo5boboo
6bobo357bo$539b4oboob4o21bo73boo90boo4bo4bobo$549boo23bobo161bobbo6b3o
765bobo$528bo38boobo6bo160bo6booboo766boo$527b5o34boo3bobbobbo162bobob
obbo769bo$527bobboo28b3o4bobbobbo3bo$529boobo27bo6bobbobbo3bo164bo4bo$
542boo19bo3bo6bobo166b4o$532bobo6bob3o14bobbo8boo$540b3obboo14bobbo6b
3o$525b3o6b3o10bobboo10bo5bo3bo$520bo4bobb3o4b3o15bo10boboboobo561bo$
519boo5boob5ob3o8boo6boo10boo564bobo$519bobo3b3o4booboo9bo8bo14bo562bo
$531bobo13bob4obbo$521b3o6bobbo13b3oboobo12bobbo555boo160bo$520b3o7bo
595boobboo71bo82boo$522bobob4obbo130boo465bobo70bobo81boo$452bo71boob
oo134bobo465bo71boo$451bo72b6o134boo773bo$451b3o984bo$1438b3o$531b3o$
531bo$532bo$534boo$535bo20boo$555boo3bo$532bo24boboo12boo$529b4obo24b
3o11bobo575bo$529bo4bo24bo14boo574bobo$530bo4boo24b3o587bo$532bobb3o
24boo$536boo24boo580boo$533booboo24boo580boobboo$534boboo24boo117boo
465bobo$534bobo25boo117bobo465bo$535boo26boo117boo$564bo951bobo$563bo
952boo$558boo957bo$558bobobbobo$558bo3bobo$561boobbo$562bobo$556boo3b
oo$555boobob3o28boo$557bobo31bobo575bo$592boo574bobo$554boo613bo$546b
3o5boo3bobo$546bo6bobo606boo124bo$547bo4boo608boobboo35bo82boo$549b4ob
o144boo465bobo34bobo81boo$452bo97boo147bobo465bo35boo$451bo248boo737bo
$451b3o984bo$1438b3o7$609boo$609bobo575bo$610boo574bobo$1187bo$$1180b
oo$1180boobboo$717boo465bobo$717bobo465bo$718boo$1516bobo$1516boo$
1517bo4$469boo$468boo$439boo21boo5bo157boo$439bobo19boo5boo157bobo$
439bo23bo4bobobboo153boo$440boo23boo3boob4o$440bobbo21boo10bo$440bo36b
o720boo88bo$442bobo26bo726boobboo82boo$446bo26boo260boo465bobo82boo$
444bobbo4bo282bobo465bo$444bobbo3bo284boo701bo$446b3obb3o984bo$442b3ob
3o989b3o$438b3oboobb3o$438bo7boo$439bo6boo$442b5o$444boo$443boo$443boo
200boo$442bobo200bobo$441boo203boo$441bobo$440bo$441boo773boo$1216boo
bboo$753boo465bobo$753bobo465bo$754boo$1516bobo$1516boo$1517bo6$663boo
$663bobo$664boo$$467boo$466boo290boo474boo52bo$460boo5bo289boo475boobb
oo46boo$459boo5boo283boo5bo12boo465bobo46boo$461bo4bobobboo277boo5boo
12bobo465bo$463boo3boob4o10bo266bo4bobobboo8boo665bo$463boo10bo7bobo
268boo3boob4o672bo$475bo8boo25boobo239boo10bo671b3o$469bo41bo3bo250bo$
471boo3boo33bo4bo243bo$476b4o33boo247boo3boo$475bo4bo34bobo249b4o57boo
$470bo4bo4bo285bo4bo56bobo$469boo3boo34bo6boo242bo4bo4bo56bo$469bobo3b
o33b5o4bobbo159boo77boo3boo64bo$473b5o10bo14boo4bo6boo163bobo76bobo3bo
64boo$473b4o10boo14bobo11bo164boo80b5o10bo51boo$473boo5bo6bobo13bo5bob
oo6bobo7bo234b4o10boo50boo$474bo3boo24boo4bo4bobo10boo234boo5bo6bobo
48boo$481bo6boboo12bobbo6b3o5bo5bobo234bo3boo56boobbo420boo$482b3ob4ob
obo10bo6booboo5boo249bo6boboo22bo18bobb3o422boobboo$483boboobbo3bo12bo
bobobbo7bobo3boobobo240b3ob4obobo4boo13boo17boo431bobo$482bobboo6b3o
29bo7boo239boboobbo3bo4bobo12bobo16bobo431bo$477boo3bobo10bo12bo4bo10b
o4bo5boo236bobboo6b3o3boo26b3o3bo$476boo3bobbo10b3o11b4o11bobbobb6o
232boo3bobo10bo19b3o9bo6bobbo687bobo$478bo3bo14bo269boo3bobbo10b3o16b
3o11bo4bo691boo$476boo3bo15b3o269bo3bo14bo18bobo11boboo3bo688bo$476boo
20boo267boo3bo15b3o18b6o5b5o$498boo9bo257boo12boobo4boo18b7obobo$477b
oo19boo9boo270boboo3bobo24boo3bobo$475bo22boo8bobo257boo5boo4boboo3b3o
28bobo$471bobb5o19boo266bo7boo6bo5b3o$466boobbobo4bobo19boo198boo61bo
bb5o5bobo4boo4bobo$466bobobo4bo24bo11bo186bobo55boobbobo4bobo4b3o4boo
bboo$466bo3bo28bo8boobb3o35bo149boo55bobobo4bo8boo6bobo$472booboo17boo
12boobb4o33boo206bo3bo15bobo3boo3bo$469bo24bobobbobo11boboo32bobo211b
ooboo15b4o$469booboo20bo3bobo11boobbo243bo18bobo488boo16bo$497boobbo
13bo36boo206booboo16b4o485boobboo10boo$498bobo11boo38boo227b4o489bobo
10boo$492boo3boo13boo268boo4b3o484bo$491boobob3o15bo35boo236bobb3o645b
o$493bobo16bo36bobbo236bobo646bo$511boo35boobo242bo9boo8boo622b3o$490b
oo19bobbo10b3o16b3o245bo18boboboo$482b3o5boo3bobo14b3o10bo18bo249bobo
6bobbobbobo5bo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo
34boo34boo$482bo6bobo21bo14bo11boo3bo241boobo6bo5boboobbob6o34bobo33bo
bo33bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo33bobo$
483bo4boo35bobbo10boo5boboo236boo3bobbobbo7boobooboobbo37bo35bo35bo35b
o35bo35bo35bo35bo35bo35bo35bo35bo35bo$485b4obo14bo20bobbo11bo5b3o230b
3o4bobbobbo3bo6boobb4o$486boo16b5o18bo15bob4o231bo6bobbobbo3bo9boo3bo$
504bobboo20bobobboo6bobboo170boo64bo3bo6bobo10boobobo$506boobo21boobo
bbo3boo174bobo60bobbo8boo13b3o$537bobob3o174boo61bobbo6b3o14boo$509bob
o25bobo242bo5bo3bo6boo8b4o$532bobo249boboboobo6boo3bo6bo$502b3o6b3o
272boo12boboo484boo$497bo4bobb3o4b3o275bo11b3o483boobboo$496boo5boob5o
b3o287bo489bobo$496bobo3b3o4booboo273bobbo13b3o486bo$508bobo286boobo4b
oo$498b3o6bobbo286boboo3bobo709bobo$497b3o7bo283boo4boboo3b3o497boo
210boo$499bobob4obbo18boo260boo6bo5b3o496bobbo210bo$501booboo22bobo
260bobo4boo4bobo496bobbo$501b6o22boo260b3o4boobboo500boo$791boo6bobo$
793bobo3boo3bo$799b4o$735boo58bobo$735bobo59b4o$736boo59b4o$798boo$$
1306boo$1306boobboo$1310bobo$1311bo$1439bo$1438bo$1322boo114b3o$546boo
773bobbo$546bobo772bobbo$547boo773boo4$753boo$753bobo$754boo3$1324boo$
1324boobboo$1328bobo$1329bo$$1516bobo$1340boo174boo$564boo773bobbo174b
o$564bobo772bobbo$565boo773boo4$771boo$771bobo$772boo3$1342boo$1342boo
bboo$1346bobo$1347bo$1439bo$1438bo$1358boo78b3o$582boo773bobbo$582bobo
772bobbo$583boo773boo4$789boo$789bobo$790boo3$1360boo$1360boobboo$
1364bobo$1365bo$$1516bobo$1376boo138boo$600boo773bobbo138bo$600bobo
772bobbo$601boo773boo4$807boo$807bobo$808boo3$1378boo$1378boobboo$
1382bobo$1383bo$1439bo$1438bo$1394boo42b3o$618boo773bobbo$618bobo772bo
bbo$619boo773boo4$825boo$825bobo$826boo3$1396boo$1396boobboo$1400bobo$
1401bo$$1516bobo$1412boo102boo$636boo773bobbo102bo$636bobo772bobbo$
637boo773boo4$843boo$843bobo$844boo3$1414boo$1414boobboo$1418bobo$
1419bo$1439bo$1438bo$1430boo6b3o$654boo773bobbo$654bobo772bobbo$655boo
773boo4$861boo$861bobo$862boo3$1432boo$1432boobboo$1436bobo$1437bo$$
1516bobo$1516boo$672boo843bo$672bobo$673boo4$879boo569bo$879bobo567bob
o$880boo568bo3$1450boo$1450boobboo$1454bobo$1455bo4$690boo$690bobo$
691boo4$897boo569bo$897bobo567bobo$887b3o8boo568bo$887bo$880b3o6bo$
880bo6bobo578boo$881bo4boob4o575boobboo$883b4ob5oboo576bobo$884boo7boo
bo576bo$$897bo618bobo$897bo618boo$708boo186bobboo57boo557bo$708bobo
185boboobo55boo$709boo179boo4boo61bo$890bobobb3o63boo$890bo3bo65bo$
893boo3bo9boo$893bo4bo9bobo4boo42bobbo523bo$900bo7bo6bobo40boo525bobo$
894boo4boo7b3o4boo39bo528bo$903boo4bob3o20boo17boobbobo$903b3obo4bo21b
obo16bobobbo$910boobbo19bo14bo3bobo530boo$903bo3bo6bobo18boo11boo4boo
530boobboo$897b3obboobo29bobbo9bobo3boo534bobo$897bo4boo12bobo16bo17b
3o535bo$899bobboo33bobob3o7bo3bo$897bobo18bobo24bo4boobbo$897boo12boob
o6bo17bo9bo$726boo169bobo10boo3bobbobbo18b4oboob4o$715b3o8bobo175b3o4b
obbobbo3bo28boo$715bo11boo166boo7bo6bobbobbo3bo$708b3o6bo174bobbooboo
7bo3bo6bobo$708bo6bobo169booboo3bobbo5bobbo8boo18bo$709bo4boob4o165boo
3bo13bobbo6b3o18bobo$711b4ob5oboo164bobobobb3o8bo5bo3bo21boo564bo$712b
oo7boobo183boboboobo587bobo$890b3obbo14boo19bo572bo$725bo164boo22bo14b
oobbo$725bo193bo9boo3bo4boo$724bobboo57boo123bobbo3b5o7bobo5bo565boo$
724boboobo55boo131bobboo7b3o3bobbobbo561boobboo$718boo4boo61bo132boobo
6bo6b3oboo565bobo$718bobobb3o63boo143bobboobbobo565bo$718bo3bo65bo134b
obo9bo4b3o572boo$721boo3bo9boo198b3oboo32boo34boo34boo34boo34boo34boo
34boo34boo34boo34boo34boo34boo34boo34boo34boo34b5o$721bo4bo9bobo48bobb
o125b3o6b3o12bo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo
34boo34boo34boo34boo37bo$728bo7bo7boo40boo123bo4bobb3o4b3o45bo35bo35bo
35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo37b3o$722boo4boo7b3o4b
obo38bo124boo5boob5ob3o587bo$731boo4bob3o3boo15boo17boobbobo122bobo3b
3o4booboo$731b3obo4bo21bobo16bobobbo135bobo$738boobbo19bo14bo3bobo128b
3o6bobbo$731bo3bo6bobo18boo11boo4boo127b3o7bo$725b3obboobo29bobbo9bobo
3boo129bobob4obbo4b3o591bo$725bo4boo12bobo16bo17b3o131booboo8bobb3o
587bobo$727bobboo33bobob3o7bo3bo131b6o8bobo590bo$725bobo18bobo24bo4boo
bbo151bo$725boo12boobo6bo17bo9bo154bo$725bobo10boo3bobbobbo18b4oboob4o
154bobo585boo$732b3o4bobbobbo3bo28boo147boobo6bo584boobboo$723boo7bo6b
obbobbo3bo176boo3bobbobbo588bobo$720bobbooboo7bo3bo6bobo171b3o4bobbobb
o3bo589bo$715booboo3bobbo5bobbo8boo174bo6bobbobbo3bo$714boo3bo13bobbo
6b3o177bo3bo6bobo598boo$716bobobobb3o8bo5bo3bo175bobbo8boo600bobbo$
736boboboobo23boo152bobbo6b3o600bobo$718b3obbo14boo182bo5bo3bo602bo$
718boo22bo181boboboobo$747bo178boo$739bobbo3b5o8b3o168bo$746bobboo8boo
boo$748boobo6bo3boo3b3obo155bobbo609bo$758boboobo6bobo766bobo$751bobo
5boobb3o3b3o768bo$763b3obb4o32boo34boo34boo34boo34boo34boo34boo34boo
34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo$744b
3o6b3o8booboboo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo
34boo34boo34boo34boo34boo34boo34boo34boo34boo34boo$739bo4bobb3o4b3o8bo
bo36bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo35bo
35bo35bo35bo35bo15boo$738boo5boob5ob3o9b4o770boobboo$738bobo3b3o4boob
oo13bo774bobo$750bobo792bo$740b3o6bobbo$739b3o7bo$741bobob4obbo4b3o$
743booboo8bobb3o$743b6o8bobo791boo$762bo787bobbo$760bo790boo$762bobo$
755boobo6bo$754boo3bobbobbo792bo$748b3o4bobbobbo3bo791bobo$748bo6bobbo
bbo3bo792bo$751bo3bo6bobo$748bobbo8boo$749bobbo6b3o796boo$750bo5bo3bo
797boobboo$752boboboobo802bobo$754boo807bo$758bo$$755bobbo$$1569boo$
1568bobbo$1569boo3$1576bo$1575bobo$1576bo3$1576boo$1576boobboo$1580bob
o$1581bo5$1587boo$1586bobbo$1587boo3$1594bo$1593bobo$1594bo3$1594boo$
1594boobboo$1598bobo$1599bo5$1605boo$1604bobbo$1605boo3$1612bo$1611bob
o$1612bo3$1612boo$1612boobboo$1616bobo$1617bo$1606bo$1605boo$1605bob3o
$1609bo$1604bo18boo$1601b4obobobo11bobbo$1601bo5bobbo12boo$1602bobb4o$
1601boobboo$1595boo4boo27bo$1595bobbobboo26bobo$1585bo3bo4bobboobbobbo
25bo$1584b5obbobo4bobbo$1584bo6b3o3bo4boo$1582bobobb4oboobbo13boo18boo
$1581b3o3boo17b3ob4o16boobboo$1581bobbooboo15boo8bo19bobo$1562bo10b3o
10bobboo13bobbo6bo20bo$1561boo10bo6bo4boo3bo14boo$1537bo17bo5bobo10bo
bb3oboo3bo4bo10b4o4boo$1536b6o12boo20bo4bo7boobo8boobbo$1536bo7boo8bob
o3boobobo11bobobbo6bo3bobb3ob3o$1537bo6bobo11bo7boo8b3o9boo6bo5bo38boo
$1539bobobbob5o6bo4bo5boo5boo12bo8bo3bo37bobbo$1540bo6bo9bobbobb6o4boo
bb3o5boo4boo3boboo41boo$1548boo23bobb4o4boo9b3o24b3o$1551bo21b3obo3bob
oob9o5bo8bob3o8bo$1551bobo20bo6bobo8bo8boo4b3o15bo22bo$1567bo5boobobo
4bo22boobb5o8bobbo20bobo$1553boboboob3o4boo4bobboo3boo11boo9boob3o3bo
bbo5bo3bo20bo$1558bo4boobbobo5b6obo5boo4bo9boo3bobboo3bobboobboo$1555b
o12b4obo5boboob3obbobbo3bo8bo4b4o4boobbo$1565bo5boobbobo5b3o4b3obbob3o
10bobo4bobbobo25boo$1562bob4o5bobobo10b6o3b4o5boo8bo5bo25boobboo$1557b
o3boo7b3o4bo3bobo4bobobobboboo3bobboobbo3b3o4boo30bobo$1549boo5b3obbo
9b3o9bo5b3obboo6boobbo10b3oboo30bo$1548boo5b3o3bo5bobobboboobo11boobb
3ob3o3bo8boobb6o$1550bo4bo11b4o21bo3bobb3obo8booboobobobobo$1552boo4bo
bo11bo20bo9boo7bobboo3bo3bo$1552boo5bobo6bobb3o25bobbobo6boob3o3boo$
1553bo5bobo7bobbobobo19b4o4boob4obobboo42boo$1555bobbo11bo5bo19bo3bo4b
obbo5bo43bobbo$1550boobbobbo17boo20bobo5boo52boo$1549boobbobboobbo$
1548bo3bo4bo3bo18bo28bo$1548bobb3obboobo18bobo27boo56bo$1549bo5bob3o3b
o15boo27bobo54bobo$1559bo106bo$1550boo8bo23bo26boo$1550bobo7bo21bobo
26boobb3o$1553bo7boo20boo30boobo47boo$1550bobbo7boo50bo4bo47boobboo$
1550bobo7boo26bo23b3o4bo50bobo$1556b3ob3o23bobo23bo5bo52bo$1556bo5bo
24boo10boo12bobobboo$1557bobb3o35boo$1592bo7bo9b3o$1562bobo25bobo9boo
6booboo$1561b3o27boo9boobboobbob3o62boo$1556booboo3bo40boobobboo63bobb
o$1555boo5bo33bo9bo4boo64boo$1557bob3o32bobo6boo3bo$1595boo6boo$1603bo
80bo$1559b3o38bo3booboo74bobo$1559bo31bo6bobo5bobo75bo$1558boboo28boo
7boo$1557boobo29bobo10bo30b3o$1557b5o33bo38bobb3o44boo$1556bobbo33bob
oo5bobboo28bobo46boobboo$1556b3o33boo3b3o3boboo33bo47bobo$1558bo30boo
6boobbo36bo50bo$1557bo30boo5bo44bobo$1557bo25boo5bobobobbo4bo30boobo6b
o$1578boobboo8booboboo4bo28boo3bobbobbo$1578bobo3bo5bo4bobbo4bo22b3o4b
obbobbo3bo$1578bo10bo3bo3boo4bo22bo6bobbobbo3bo51boo$1579boo4b3obo3bo
bboo31bo3bo6bobo51bobbo$1579bobbo4boobbo4bobboo25bobbo8boo55boo$1579bo
7boobo24bo11bobbo6b3o$1581boboboo3bo3b3o18bo12bo5bo3bo$1582boob3oboo3b
4o17bo14boboboobo64bo$1586bobo5bobo23bo11boo67bobo$1581boo5bobo5bobbo
15boob4o14bo65bo$1584boobboo6bo9boo7bobbo3bo$1579boo6b6o3bo3bo6boo6bo
bb4o11bobbo$1579boobobb3o3bobobbo19bo3bo81boo$1580b4obboboo3bo5boboo
13b3o4boo77boobboo$1581boo8bo5b3o17bo4bobo81bobo$1582bo6boo8bo13boo7b
oo83bo$1586boo8boobbo11bobbo$1580bobo3bobo6b6o12boo$1579boo5boboo5bo5b
o$1579bobo9boo6bobo32boo$1575boo4bo5boo3bo7boo17bo13bobbobobo72boo$
1575bobo3boo4boo29bobo12bobboboboo70bobbo$1575bo6boo5b3o10bo15bobo12bo
3bo3bo71boo$1578bo7boobobo4boobbooboo14bo14bob4oboobbobo$1578boo7boboo
4boo3b5o30bob3o5bobo$1587bobo7bobboboo33b3obboobo74bo$1586boob3o7boob
oo37boo3boo71bobo$1583boo5boo8bo24bo10b3o4bobbo73bo$1583boo3bob3o7bo
15boo6bobo11bobo4bo$1582bobobobo11boo13boo7bobo8boboobobobbo96boo$
1581boobboo15bo14bo7bo10b4o3bo76boo8b3o9bobo$1580b3obb3oboo4boo39bo83b
oobboo4bobb3o6bo9bo$1580bo5boob3obboo4booboo119bobo4bobo16boobo$1579b
ooboo5bo6bobbo125bo10bo4boobbo3boobbo$1580bobo64bo3bo82bo6boobboboobbo
$1581bobooboob3o5boobbo46boboo84boboobo3b5o$1581bobb4ob3o7bo44bobboo5b
o90boo$1581boboo58bobb3o3boboo81bobb6o$1581bobobo4boo45boobboo10boboo
74boo5b7o$1583bo5boo38bo7bobb3o4b4obobbo74bobbo6b3o$1577b3obboo6bo27b
oo8bo8bobb5o7b3o76boo$1577bo40bobo6b3o23bo$1578bo5b5o23boo4bo20boo138b
oo$1580b6o26bobo4bobo5b3obo8b3o95bo40bobo$1581b4o27bo6b3o6b4o9bo95bobo
32boo5bo$1581boobb5o25bo12b4o106bo33bobo3boobbo$1567boo12b3o4b3o24boob
obbo15boo133bo11bo$1566boo13boo7b3o25b4o15boobb3o131bo3boo3b3o$1568bo
11bo7bo3bo17boo8bobbo13boo99boo35boo4boo4bo$1570boo9bo3boo23bobbo5bob
3o17bobo94boobboo37b7o$1569bo12bobboobbo20bo3b4ob3o20bo99bobo37b4o$
1579b4oboobboo22bo6bo123bo$1568bobbo7bo5bobo25b5o3b3o$1560boo5boobbobo
4bobbo3bo28boobobo9bo41boo34boo34boo34boo$1559boo5bo5bobobboboo5boboo
28bo9b5o37bobo33bobo33bobo33bobo$1561bo4bobo4b3ob4o10bo36bobboo39bo35b
o35bo35bo$1563boobbo9boo8bo3bo38boobo$1563boo10b3o9boo$1576boo10bobobo
40bobo20boo103boo36boo$1586bobo3bo63boo103boo36bobo$1585boo5bobboo38b
3o161bobo$1585bobbobbo3boo39b3o20boo139b3o$1582b3o4boo4bo37b6o20boo
139bobo$1582bo13bo60bobbo139b3o$1583bo10boo40bo18bo3bobbo137boo$1588b
oo4b3o39bo18bo3boboo138bo$1587boo6boo39bo20bo3bo89bo43bo4b3o$1589bobbo
64bo3bo88bobo41b5o6bo$1591b3o36b3o3boo16boob4o89bobo41bo6booboo$1591b
oo37bo24b5o91bo$1583boo5boo39bobboo18boo138boboo$1582boo6boo42booboo
156bo$1584bobbooboo37bo4bo153bo15boo$1586boo40b4oboo152b5obboobo6bobo$
1586boo40bo25b3o130bobboobb4o6bo$1629boo3bo19bo134bobo3boobbooboo$
1628b6o14b3o6bo132bo11bo$1619boo6boo19bo6bobbo128bobbob3o3bo$1619bobo
3boobbo19bo6boboo130bobboobbo4bo5bo$1619bo5b3o23boo3boboo128b3obbo3bo
9boo$1622bo29bo3bobo130bobobob3oboo6bob5o$1622boo32boboo129bo3b4o3bobb
oo5bo4bo$1646b3o3boo6bo128bobo3bo7bobbobbo5bo$1646bobboobbob3obo135bo
6bobboo10bo$1647bobbobboobo137bo9bo6booboobbo$1649boobooboobo136bo14b
oobboo3bo$1655bobbo153bobo$1654boobbo155bobbobo$1814boo3bo$1815b3o$
1815bo$1817bo$1817bo28$1805bo$1804bobo$1804bobo$1805bo28$1886b3o$1886b
o$1879b3o6bo$1879bo6bobo29b3o$1880bo4boob4o26bo$1882b4ob5oboo24bo$
1883boo7boobo25boo$1922bo$$1882boo8bo26boo$1881boo10bo17b3o5boo$1883bo
8bo18bo6bobo$1885boo3boo20bo4boo$1884bo5bobo21b4obo$1890bobo22boo$
1888bo30bo$1885boobo29bobo$1885boobbo28bo$1885bobob3o27bobo$1885b4obbo
$1921bobo$1885boo3bo30bobo$1883boo3bo24bo8bo$1859bo23b4o25boo7bo$1858b
obo46boo3bobo6boo$1858bobo23boobboo17bobo9b4o$1859bo23boo22bo7bobboo$
1883booboobboo12bo5bo3boo4bo$1903boo5boobo5bo$1885bobboo7boo4bobo5bo3b
o$1889bo6boo10b3obo5bo$1885bo3bo8bo3boobo4bo4b3o$1886boboo10bo4b3o3boo
bbo$1877boo6bobboo4boo3bo4boboob4o$1876boo6b4o6bobbobo4bo6boo$1878bobb
4oboo6bo6bobo$1880bobbo12b3obbo$1880b3obb4oboo4boo3bo3boo$1890bobbobbo
6boo$1881b4o8bobbo3bobobo$1881boo3booboobo3bobbo5boo$1881bobo12bobb5ob
oo$1883b3obboobobobo3boobbobobo11b3o$1887bo3bobo5b5obb4o9bo$1866b3o17b
oo10bo6boo3bo10bo$1866bo19bo7b4oboo7bobbo11bo$1859b3o6bo18bo7boobbo14b
oob5ob4o6b3o5b3o$1859bo6bobo26bobo4bo5b3oboboobob4obbobo5bo5booboo$
1860bo4boob4o36bo6bo4bobo3bo9bobo$1862b4ob5oboo22boo3boo15b4o3boo9bob
oo$1863boo7boobo27booboo6b3obo3bo9bobobo$1903bobbo5b3o3bobo5b5oboobo$
1876bo28bobo5b3obbobo5booboobo$1876bo$1875bobboo57boo$1875boboobo55boo
$1869boo4boo61bo$1869bobobb3o63boo$1869bo3bo65bo$1872boo3bo9boo$1872bo
4bo9bobo48bobbo$1879bo7bo49boo$1873boo4boo7b3o45bo$1882boo4bob3o20boo
17boobbobo$1882b3obo4bo21bobo16bobobbo$1889boobbo19bo14bo3bobo$1882bo
3bo6bobo18boo11boo4boo$1876b3obboobo29bobbo9bobo3boo$1876bo4boo12bobo
16bo17b3o$1878bobboo33bobob3o7bo3bo$1876bobo18bobo24bo4boobbo$1876boo
12boobo6bo17bo9bo$1876bobo10boo3bobbobbo18b4oboob4o$1883b3o4bobbobbo3b
o28boo$1874boo7bo6bobbobbo3bo$1871bobbooboo7bo3bo6bobo$1866booboo3bobb
o5bobbo8boo18bo$1865boo3bo13bobbo6b3o18bobo$1867bobobobb3o8bo5bo3bo21b
oo$1887boboboobo$1869b3obbo14boo19bo$1869boo22bo14boobbo$1898bo9boo3bo
4boo$1890bobbo3b5o7bobo5bo$1897bobboo7b3o3bobbobbo$1899boobo6bo6b3oboo
$1913bobboobbobo$1902bobo9bo4b3o$1915b3oboo104boo106boo106boo106boo
106boo$1895b3o6b3o12bo106boo106boo106boo106boo106boo$1890bo4bobb3o4b3o
117bo107bo107bo107bo107bo$1889boo5boob5ob3o$1889bobo3b3o4booboo$1901bo
bo$1891b3o6bobbo$1890b3o7bo$1892bobob4obbo4b3o$1894booboo8bobb3o$1894b
6o8bobo$1913bo$1911bo$1913bobo$1906boobo6bo$1905boo3bobbobbo$1899b3o4b
obbobbo3bo$1899bo6bobbobbo3bo$1902bo3bo6bobo$1899bobbo8boo$1900bobbo6b
3o$1901bo5bo3bo$1903boboboobo$1905boo$1909bo$$1906bobbo!

Here is an example of the second method which directly emits gliders and doesn't need the beehive-to-glider animator at the back. This example is for period 80 input which once again is less than the previous convoy's minimum repeat time.

Code: Select all

#C A diagonal c/4 period 2320 (80 * 29) sideways rake.
#C This uses two period 80 rakes as input to a diagonal c/4
#C convoy which multiplies its period by 29 by repeatedly starting
#C and stopping the burning of a fuse which it builds.  Advancing or
#C retarding the sparking spaceship near the fuse by 15 generations
#C causes the multiplication factor to be increased or decreased by 1.
#C This can only be used for multiplication factors of 25 or more.
#C (When increasing the multiplication factor, the fuse building rakes
#C also need to be advanced as required to create more fuse elements.)
#C The same method works to multiply the period of any other diagonal
#C c/4 rake which has a period of 68 or more.
#C David I. Bell, 28 March 2024
x = 1828, y = 1588
19boo$19bobo$19bobo$20b3o$20bobo$20b3o$20boo$21bo$21boo$20bo$21bobo$
22bo$24bo19bo$22b3o9b3o6b4o$22bo11bo7boo4bobo$24b3o8bo4boobbo3b4o$26bo
10boo4bo4b4o$26b3o9boboobo$19boo7bo16boo$19bobo6boo6bobboo$19bo9boo4b
6o3bo8bo4b3o8bobo$22bo6boobboobb8o7boo4bo7boboobo$22boo5bob3o11bo6bobo
4bo5bobobobbo53boo$22boo5boboo5bo3bobbo18bo61bobo$21boo5b3o3bo3boobbo
bbo6bobo3b3oboboboo3bo54bo$17booboo6bobo4bobboo3b7ob4o3boo7bo61bo$17bo
4bo6boboobo10b5o7bo5bobbo62boo$17bob4o6b4o13boo7bobobo69boo$21boo9bo
24bo70boo$21boo7boo87boo6boo$21boo4bo4bo86bobo3boobbo$23bo4bo3bo3bo82b
o5b3o$22boo4bobob3ob3o83bo$22bo6boboo3bobbo82boo$23bo8bo4b3o86bo$31bob
obbobobo84bobo$30booboo91bobo$17bo6bo3b3o3bobbobo54bo33bo$16boo5b3oboo
3bo5bo54boo32booboo$16bobo3bobbobbo6b4o54bobo31bo$22bobobboobboo3boo3b
o32bo38boo12bo3bo$19boobbo4bo5bo7boo29b5o18boo14boo11boo$18b3o3bobobo
bbobbo6boo30bobboo6bobo3b3o3boo8boo6bo9boo$18bobobbo6bo44boobo4boobbo
bbo12boob5o5bob4obbo3bo$23bo5bo3bo11bo35boboo3b3ob4o6bo5b3o4bo6bobobbo
$14boob3o6bobo4bo12boo24boo4bobo4bobbo6bo5boobobo6bobo5bob3o9boo6boo$
14bo5bo4boobooboboo10boo25bobo4b3o3boo7boo4bo4boobob5o4boobboo9boo7bob
o$14bo5bo4boo4boboo37bo11bo15boboo3boo5bo9bo10boo6bo$11boobobo14bo17bo
25bo3boboobboo3bo9bo4bo8bo3bo3bobboo5b3o11bo$11bo6bo4boo6bo18boo23boo
4bo4bobboo4boobbobbo11boobboobbo9b3o10bobo$11bo4bo6boo5bo18boo25bo12bo
3boob6o3bobboo4b5o3b3obob3o7boo5bobo$12boobobobo5bo4boo38boo3bobbob3o
3boob3obo6bobbobboo9bobbobb4ob4o6bobo4bo$11bobobb3o4boobbobooboboo17bo
16bobobboo3bo8b4obbobobobb3ob8o9boo5boboboobbo6bo$11boo3boob6o5bobo21b
oo8b3o3bo4b7o4bobo5bo6bo9bobo4bobo7bo5boo5bo3bo$11boo11bo6boobbo17boo
9bo6boo5boo4boo6b5oboobboboobboobo18booboo5bo4bo$12bo4boboboboo9boo29b
obboobb3obo7bo7boo7bo18boo10boo6bo3bo$19bobobobo5bo3b3o19bo10boo3boo5b
o4bo46bo7b3o$12boo5bo5boo3b3obo23boo7bobobbobbo3bobo22boo28boboobo$11b
oo12bobobobo5bo19boo8boo3boo9boo4b3o4boo6bobo26bobo$9booboo15boboboobo
30booboo4b3o3b3o3bo7bobo5bo28bobbobbo$8boob3o7boboo6bobbo5bo20bo6bob4o
3boboob3obo4bo4bo10bo$10bo9b4o9boboboboo21boo4bobb3obo14bo16b3o$10bo9b
obo7bobobbobobobo19boo6boo3bobo9b3obo6bobobo$10bo21bobbo3bo45boob3obbo
bbobb4obboo$21b3o9boo5boo13boo8bo7bo11bo4b6o6b3o$5bo14b7o6booboo17bobo
8boo5bo18bobbo3bo4bo$4b9o5boo4boo8boo19bo9boo8bo19bo3bo4bo$4bo5b3o5bo
17b3o19bo15boo20bo$7bobbo5bobo10boobbo24boo3bo7bob3o5boo$ooboobbo7b3ob
oobo5bo4bo5boo17boobbobo6bo8bobbo$o5bo8bo11bo3boboo5boo17boboobbo15boo
$o4boo7bobo10bo11boo18boobob3o$bbo12boo9bo6boo5bo18bobo3boo4bobo$bobb
oo8boboo8boboo29bo5bo5boo$bo14boo7bobbobobo5bobo4b3o17boo$4bo8booboo
12bobbo4bo6bo12boo38boo$14boboo7b3obbo4boobo7bo10boboo14bo$14bobo8b3o
bbobbobo3bo8b3o5bo4bo3boobbo4bo51bo$15boo13b4o15b6oboo3bobboo5bobobbo
18boo17boo9boo$27bob4obbobb3o11bo4bo7bobo3b3obbo18bobbo14boo3bo6bobo$
27boboo5boo13bobo4boo5boob4o3bo19bobbo16boboo15b3o$29b3o3bo14b3o12b3o
4bobo15boo4bobbo17b3o5bobo4booboo$34boo13bo19bo20boo5bobbo16bo6boobobo
bo$33bobbo13bobo16b5o23bobbooboo14b3obo6boboo$29b3o6boo11b5o3boobobboo
bboobbobbo21bobobobbo14boo7bo$29b3ob3obo14boobobboo3bob3o4b4obo20bobb
oobobo13boo5boo$25bo6bobo24bobbo3boo4boo25boo4boo15b5o$24b4o8bobbo19bo
bbobboo3b3o$24bobboo30bo9bo$26boboo6boo12b3o14bo4bo29boo$27bo22bobb4ob
o8bo4boo27boo3boo4bo$28boo21b3ob4obo45b3obb3o$53b3obbobo6boobo4bo28bo
8boo$67bo5boo30boboobb3o$60bo3b3o6bobbo28b3obooboo$59boo3bo10bo31boo3b
o$65bo8boo32bo3bo$71boo36b3obboo$70boo41bobbo$72bobo19bo18bobo$72boo3b
o15boo19bo$72bo3boo15bobo7boo5boo76bo10boo35bo10boo$72bo3bobo21boobo6b
oo75b5o6boo35b5o6boo$72bo23boobboo85bobboo8bo7boo25bobboo8bo7boo$76b5o
15boobboo87boobo5boo6b3obo26boobo5boo6b3obo$73booboobb3o14boo99boo3bob
oo13boo24boo3boboo$81bo15b4obo89bobo6boo17bobo17bobo6boo$75bo3boboboo
11boboboobo93b3obo4bo13bo24b3obo4bo$76bo18boo97b3o3bo4bo17bo18b3o3bo4b
o$77boboo14bobobb3o92bo7bo19boo3bo14bo7bo$94bo32b3o65bo6bo20boobbobo
13bo6bo$95boo29bo7boo88boboobbo$119boo4bo8bo63bo25boobob3o14bo$119boo
4bobbo95bobo3boo$125bobbo47boo46bo5bo16b3o$128boo5booboo37boo31b3o17b
oo7boo5bo4bo$127boo5bo3bobo35bo33bo12boo14bobo4boobob3o$134bo3bobo70bo
10boboo13bo6bobbo$135bo77b3o5bo4bo15bo4bobbo$214b6oboo3bo15boobbo3bo$
136boob3o75bo4bo19boo6bo$136bobboo75bobo4boo3bo14b4o3bo$135bo3boo74b3o
9boo14bo4b4o$124boo9boboo75bo12bobo7boo4bo7bo$124bobo8bobo49boo26bobo
16boobo4bo5bo$124bo11bo50bobo26b5o9boobboo6b3oboboo$125boo60bo29boobo
9boobboo6b3o4bo4boo$125bobbo61bo40boo10boo9bobo$125bo64boo33boo4b3ob4o
boo12bo5b3o$127bobo60boo25bo7bobobbobobbo4b7o13bo17bo4boo$131bo57boo
25bobo6bo3boo3bob3obo3bobo6boo7bo6boo3boo3bo3bobo3b3o$129bobbo52booboo
6bobo16bobbo9b3obb3obboobo3boo6bobbo3bobo5booboboobo6bo5bo$129bobbo52b
o4bo5boo18boo11b3o3boo5bo4b3obboo5bo8bo5bobooboobbobo4bo12boo$131b3o
51bob4o6bo30boboboo3boobobbobo7bo3boobbobbobb3o4bo5booboo7bo9b3o$127b
3ob3o55boo36boobobo5bobob4o3b3obo3bobboobbobbobo6b6o3bo15b4obo$123b3ob
oobb3o55boo38boo8bob3oboo3boo5bo4bobo7boobo3bo8booboob3obboo6boo$123bo
7boo56boo18boo21bobo7boobo6bobbobb3obobbobb3obo3bobbobo4bobobooboo4boo
5boo$124bo6boo58bo17bobo18boo9bo3b4o4boobo3bobboobbo3bo5bo3bobboo4bo8b
obobboboo7boo$127b5o58boo10boo5bo19b4o3boo3boobbo8bo5bo3bobbo6bo7boboo
b3o9b5obbo7boobo$129boo59bo11bobo3boobbo18boboob4obbobbobo6bo4bo8boo
13b3o4boobbo4boo3bobboo5bo$128boo61bo10bo11bo17bo6bo12boo3bobboobo23b
oobboo6b3obo3bo4boobo$128boo75bo3boo3b3o17bobbobo12bo10boo22boo11bo3b
oob4ob3obo$127bobo75boo4boo4bo19bo14bobo8boo41bob3o$126boo83b7o39bo46b
oo4bo3bo$126bobo83b4o40b5o47bo7bo$125bo93bo36bobboo54b3o$126boo90b4o
36boobo44bobo5bo$222bo83boo5boo4bo$217b6o38bobo42bobo3bo6boo$211b3o3bo
boo82boobobobbobobo3boo$211bo5bobo16bo17b3o6b3o36booboob3obbo$212bobb
ooboo15bobo11bo4bobb3o4b3o37boboobobbo102boo46boo$214bo14b3o3bobbo9boo
5boob5ob3o43bobo90b3o9bobo33b3o9bobo$217bo3bo7bo6boo10bobo3b3o4booboo
48bo88bobb3o6bo9bo25bobb3o6bo9bo$215boo4bobo8bo27bobo50bo90bobo16boobo
25bobo16boobo$221bo7bo4bo15b3o6bobbo51bo94bo4boobbo3boobbo10bo19bo4boo
bbo3boobbo$223b3o4b3o16b3o7bo147bo6boobboboobbo11boo17bo6boobboboobbo$
225boboo5bobo14bobob4obbo147boboobo3b5o13bobo18boboobo3b5o$227bo8bo16b
ooboo160boo46boo$219boo3b3o10bo15b6o151bobb6o20boo17bobb6o$219bobobboo
12bo172b7o21boobb3o13b7o$219bo4bo13bobo172b3o27boobo14b3o$222bobo216bo
4bo$218boo13bo6boo198b3o4bo$218boo12b5o4bobbo23boo38boo38boo38boo50bo
5bo17boo$219boo5boo4bo6boo26bobo37bobo37bobo37bobo37boo12bobobboo8bo6b
oobobo$217bo8bobo11bo28bo39bo39bo39bo36boo27boo5boo4bo$217b4o5bo5boboo
6bobo183bo9b3o14bobo7bo3bo$209bobb3obo4bo5boo4bo4bobo189boo6booboo20b
oobo$208boobbob4o3bo5bobbo6b3o190boobboobbob3o15boo3b3o$208bobobobobbo
9bo6booboo194boobobboo17boo3b3o$212b3obboo10bobobobbo197bo4boo23boo$
211boobo41bo174boo3bo6b3o14b3o3bobo$212boboo15bo4bo18bobo173boo10bo9b
oo4b5o3bo$232b4o10bo8bobbo145bo26bo12bo6b3obobbobb3o$245boo9boo145boo
27booboo9boobboo6boo4bo$239bo5bobo155bobo7bo15bo4bobo10bo11bo4boboo3bo
$238boo172bo17bo20bobbo5bo9boo$238bobo3boobobo156boo4b3o13b3o11bo4boo
6bobobbobbo6bobo4boo$242bo7boo154boo33boo3boboboboo3b5o14boo22bo$241bo
4bo5boo187bobobobbobo11bo7bobo4bo7boo3boob3o3boo5boo$241bobbobb6o149bo
boo40bo4bobbooboo3bo6b3o4bobo6bobobbob4o3bobo3boo$292b3o106b4o40bo4bob
obboo5boboo3bobo3bobbo5bobbobbo4bobobo7bo$292bobb3o103bo3boo37bobobo4b
oobobo6bo3boboobbob3o4boo5bo7b3o16b4o$254b3o36bobo110bobbo34bob3o5bobo
boboo3booboob3o3boboobo6bo4bobboo9boo7bo5bo$254bobboo39bo145bo9bobbo3b
o5bobobbo5bobobo3bobbobob3oboobbobboo5bo4bo6bo$253booboo38bo108boo3bo
36b4o8bo3bo4boboo3bo3bo5bo3boob3obbo5bobbobobobooboobo3boo$248boo48bob
o104boo3bo34bo3boo5bobb3obo5boo3b3obboo3boo3boo6bo3bo4bo3b5obbobbo10b
oo$247boo4bobo35boobo6bo104bo39bo3b3o3bob3o3bo7b3o8boob5o7boob5ob5obo
3boboobo8bobo$249bobboboo34boo3bobbobbo48bo55bo39boboobboo5bo11b3obobb
obo4boboo14bo3boo5bobo3boobo7bobo$251boo13boo16b3o4bobbobbo3bo36boo9b
oo15b3o38boo45boo4boboo5boboo3bo23bobbo12b3o3boobo3bo$251boo4bo7boo17b
o6bobbobbo3bo35boo3bo6bobo14bo82b5obo12b3o6bobbo19bo3bo3bo11boobbo3b4o
bo$252bo4b3o6bobbo6bo10bo3bo6bobo38boboo15b3o6bo83boo15bobo8boo22bo4bo
7bo4bo3bobo5bo$258boo6boobo5bobo6bobbo8boo43b3o5bobo4booboo8boo146bobb
oo3bo3b3o$260boobobboo3bo3bobbo6bobbo6b3o43bo6boobobobo14bo3boo$261bob
o12boo8bo5bo3bo46b3obo6boboo15boo148bobo5boo$261bobbo4bobobo14boboboob
o48boo7bo22boo144bo8boobo$256bo3b3o10bo16boo52boo5boo17b6o146boo6bobbo
$255boo16bobo18bo51b5o19bobboobo73bo77boob5o$255bobobo97boo13bo4bo71bo
bo67boobboo3booboobboo$260boo13bobo13bobbo62bobo10bo6bo71bobbo66bobb3o
bbo$255bobo99bo11bo80boo67bobo4b3o$254boobo10b3o6b3o32bo47bo7boo3bo
152boo$255bo7bo4bobb3o4b3o31boo46boobboobobb3o157boo$254bo7boo5boob5ob
3o30bobo34bo3bo11bo5bo158bo$253b3o6bobo3b3o4booboo66boo5boo9bobo3bo
159boo$249bobbo3boo16bobo70boo3boo8boboo3bo$244b3ob3obb5o6b3o6bobbo84b
ooboo$244bo5bobbobo7b3o7bo87bobbo$245bo3bo4bo10bobob4obbo87bobo$247boo
bobbo13booboo91bobboo$248bobo16b6o$248bobo$281b3o53b3o$281bo14bo40bo$
274b3o6bo11bobo40bo$274bo6bobo11bobbo41boo$275bo4boob4o9boo43bo$277b4o
b5oboo180bo$278boo7boobo47bo130bobo$335b4obo128bobbo$291bo43bo4bo129b
oo$291bo44bo4boo$290bobboo43bobb3o$290boboobo46boo$284boo4boo34bo12boo
boo$284bobobb3o22boo9boo13boboo$284bo3bo24boo3bo6bobo12bobo122b3o$287b
oo3bo9boo11boboo15b3o4boo35bo86bo$287bo4bo9bobo12b3o5bobo4booboo40bobo
78b3o6bo$294bo7bo14bo6boobobobo44bobbo78bo6bobo$288boo4boo7b3o13b3obo
6boboo43boo80bo4boob4o$297boo4bob3o12boo7bo131b4ob5oboo$297b3obo4bo13b
oo5boo133boo7boobo$304boobbo7bo5b5o186boo$297bo3bo6bobo4bobo157bo36boo
3bo$291b3obboobo15bobbo156bo38boboo$291bo4boo12bobo3boo156bobboo37b3o$
293bobboo176boboobo10bo25bo$291bobo18bobo153boo4boo13bobo26b3o$291boo
12boobo6bo152bobobb3o13bobbo18boobo4boo$291bobo10boo3bobbobbo152bo3bo
17boo19boboo3bobo$298b3o4bobbobbo3bo155boo3bo9boo17boo4boboo3b3o875boo
bo7b3o$289boo7bo6bobbobbo3bo155bo4bo9bobo15boo6bo5b3o875bo3bo6bo$286bo
bbooboo7bo3bo6bobo163bo7bo18bobo4boo4bobo875bo4bo7bo7boo$281booboo3bo
bbo5bobbo8boo160boo4boo7b3o15b3o4boobboo880boo7bobo4boobo$280boo3bo13b
obbo6b3o169boo4bob3o13boo6bobo884bobo4b3obobboo$282bobobobb3o8bo5bo3bo
170b3obo4bo16bobo3boo3bo887bo3boobboo$302boboboobo88bo89boobbo20b4o
885boob4oboo$284b3obbo14boo91bobo81bo3bo6bobo14bobo891b7o$284boo22bo
87bobbo75b3obboobo27b4o$397boo76bo4boo12bobo14b4o$305bobbo168bobboo30b
oo$475bobo18bobo$475boo12boobo6bo$475bobo10boo3bobbobbo19b3o37b3o37b3o
37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o37b3o
37b3o37b3o37b3o37b3o37b3o37b3o$482b3o4bobbobbo3bo21bo39bo39bo39bo39bo
39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo
39bo$473boo7bo6bobbobbo3bo20bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo
39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo$470bobbooboo7bo3bo6bo
bo$465booboo3bobbo5bobbo8boo$399bo64boo3bo13bobbo6b3o14bo$398boo66bobo
bobb3o8bo5bo3bo14bobo$398bobo85boboboobo15bobbo$391b3o9boo63b3obbo14b
oo20boo$391bo9bob3o62boo22bo$392bo6bo5b4o93boo892boo$394boobboo4boo83b
obbo8boo892boo$395bo99boo5bo894bo$399bo3boo5bo7boo74boo5boo896boo$395b
oobobbob3ob3o7bobbo75bo4bobobboo890bo$394bobobo11bo7bobo77boo3boob4o$
371b3o20bobobo3bo5b3o8bo78boo10bo886bobbo$371bo21bo4boboboo4b3o99bo38b
oobo841boobo$374bo18boobboobobboo99bo44bo3bo839boo4bo$371bobbo11bo6boo
5booboo7bo93boo3boo36bo4bo840bobobbo$372bobbo9boo11bobbo3bo3boo100b4o
36boo847bo$373bo11bobo10bobboob3ob3o99bo4bo37bobo841bobbo$375bobo11bo
5bobo3boo4b3o95bo4bo4bo882bobo$377boo9bo3b3o4bobbo5boo38b3o53boo3boo
37bo6boo841bobo$378bo9bo3boo5bo6boo40bo55bobo3bo36b5o4bobbo839boo20boo
$377boo15boobobobbo5bo40bo58b5o10bo6bo10boo4bo6boo753bo10boo77bo20boo$
376b3o7bo4boobbo5b3o3boo42boo55b4o10boo5bobo9bobo11bo752b5o6boo93boo5b
o$371boobooboo6b4obo8bobobobo3bo42bo55boo5bo6bobo4bobbo8bo5boboo6bobo
748bobboo8bo7boo82boo5boo$371bo3boboo4boobobo5boo4bobo4bo101bo3boo15b
oo10boo4bo4bobo754boobo5boo6b3obo83bo4bobobboo$371bob3obbo4boobo6b4o4b
oo5bo40bo29boo35bo6boboo15bobbo6b3o764boo3boboo89boo3boob4o$376boo7bob
4obob3o7boo40b4obo26boo37b3ob4obobo13bo6booboo759bobo6boo93boo10bo$
375b3o10b3o55bo4bo28bo37boboobbo3bo15bobobobbo766b3obo4bo101bo11bo23b
oobo$385b3obooboo9boobo4bo35bo4boo5boo21bo34bobboo6b3o784b3o3bo4bo96bo
15bobo23bo3bo$386boo14bo3bo3boo26boo9bobb3o4bobo16b6o28boo3bobo10bo15b
o4bo764bo7bo100boo3boo8boo23bo4bo$374b3o20bobooboobboobbobo24bobbo12b
oo4bo18bobbo29boo3bobbo10b3o14b4o765bo6bo106b4o33boo$374b3o19boobooboo
bb4o28bobo9booboo7bo15b6o29bo3bo14bo896bo4bo34bobo$396bobo7bo32bo11bob
oo6bobbo14bo3bo27boo3bo15b3o784bo104bo4bo4bo$373boo29b3o44bobo7bobbo
13boo31boo12boobo4boo888boo3boo34bo6boo$373bo28b5o45boo4b3obbo12boob3o
43boboo3bobo28boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38b
oo38boo38boo38boo38boo38boo38boo38boo138bobo3bo33b5o4bobbo$402boobbo
49bobobbo11boobbo3bo30boo5boo4boboo3b3o29boo38boo38boo38boo38boo38boo
38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo141b
5o10bo14boo4bo6boo$402boobboboo45boob4o7b3ob3obo32bo7boo6bo5b3o28bo39b
o39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo
143b4o10boo14bobo11bo$398boobbobob3obo45boboo9bo5bobo28bobb5o5bobo4boo
4bobo782bobo3bobo101boo5bo6bobo13bo5boboo6bobo7bo$397boobb4o4bo46bobo
4b3o4bo7boo21boobbobo4bobo4b3o4boobboo785boo5boo102bo3boo24boo4bo4bobo
10boo$399bo4b3o3bo46boo13bo28bobobo4bo8boo6bobo788bo5bo110bo6boboo12bo
bbo6b3o5bo5bobo$407boobobo51bobo34bo3bo15bobo3boo3bo903b3ob4obobo10bo
6booboo5boo$404booboobobo53bobb4o34booboo15b4o906boboobbo3bo12bobobobb
o7bobo3boobobo$404b4o58booboo33bo18bobo910bobboo6b3o29bo7boo$407bo61bo
5b3o26booboo16b4o21bo880boo3bobo10bo12bo4bo10bo4bo5boo$403boobboo58boo
6bobb3o44b4o9boo9bobo756boo120boo3bobbo10b3o11b4o11bobbobb6o$400boo4bo
bbo57bo8bobo47boo10bobo8bobbo755bobo121bo3bo14bo$400bobbooboo54boobo
15bo49boo5bo11boo756bo121boo3bo15b3o$400bobobb3o54bo3bo12bo51bobo3boo
bbo769bo118boo20boo$405bobo54bo3bo14bobo47bo11bo767boo139boo15bo$405b
oo51boo4bobo7boobo6bo49bo3boo3b3o765boo118boo19boo15boo$400boobb3o50bo
bbo12boo3bobbobbo49boo4boo4bo763boo117bo22boo14bobo$400bobobo53bobo4bo
bo6bobbobbo3bo55b7o39bo719booboo114bobb5o19boo$400bo3boo53bo14bobbobbo
3bo56b4o40b5o716bo4bo108boobbobo4bobo19boo$401boobobo60boo5bo6bobo64bo
36bobboo716bob4o108bobobo4bo24bo$401boobo64bo9boo66b4o36boobo719boo
108bo3bo28bo50bo$401bobbobo63boo6b3o6boo62bo758boo114booboo17boo53boo$
401boo72bo3bo6boo58b6o38bobo717boo111bo24bobobbobo10bo36bobo$401boo4bo
63boboboobo9bo51b3o3boboo762bo110booboo20bo3bobo10bobo$402boboobo65boo
15boo48bo5bobo34b3o6b3o716boo138boobbo9bobo38boo$400boobbobboo68bo11bo
51bobbooboo29bo4bobb3o4b3o586boo127bo140bobo11bo39boo$399b5o3bobo133bo
14b3o16boo5boob5ob3o574b3o9bobo127bo133boo3boo$399bo4bobbobbo63bobbo
10bobbo25boo27bo3bo7bo18bobo3b3o4booboo575bobb3o6bo9bo252boobob3o15b3o
33boo$403bobbobbo75boobo28bobo24boo4bobo8bo27bobo579bobo16boobo253bobo
17b3obo31bobbo$410bo73boo4bo26bo32bo7bo4bo6bo8b3o6bobbo584bo4boobbo3b
oobbo273boobboo29boobo$405boo3boo74bobobbo6bo21bo31b3o4b3o7bobo6b3o7bo
585bo6boobboboobbo252boo23b3o7b3o16b3o$405booboboo50boo27bo5boo18bobb
3o31boboo5bobo3bobbo7bobob4obbo585boboobo3b5o246b3o5boo3bobo16boboo7bo
18bo$400boo3bobbobo50boo3bo21bobbo5bobo16boobo36bo8bo4boo10booboo598b
oo249bo6bobo22bobo11bo11boo3bo$399boo6boboo52boboo22bobo25boob3o25boo
3b3o10bo15b6o589bobb6o251bo4boo26bo8bobbo10boo5boboo$401bobboob4o54b3o
21bobo8boo46bobobboo12bo610b7o158boo94b4obo14bo10bo9bobbo11bo5b3o$404b
oo3boo54bo14boo8boo7b4o13bo31bo4bo13bobo610b3o160bobo94boo16b5o5bobo
10bo15bob4o$404bobo60b3o9bobbo7bo5bobo16boboobo30bobo782boo5bo114bobb
oo5bobo12bobobboo6bobboo$405boo53boobo4boo10bobo11b3obbo12boboobobo27b
oo13bo6boo765bobo3boobbo113boobo5bobo13boobobbo3boo$404boo54boboo3bobo
11bo12bo3boo8boob3oboboo28boo12b5o4bobbo33boo38boo38boo38boo38boo38boo
38boo38boo38boo38boo38boo38boo38boo38boo38boo167bo11bo121bo20bobob3o$
454boo4boboo3b3o24bobo10boo7boo30boo5boo4bo6boo36bobo37bobo37bobo37bob
o37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo
170bo3boo3b3o112bobo25bobo$453boo6bo5b3o25boo4boo6boboo3boo28bo8bobo
11bo38bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo170boo
4boo4bo134bobo$406b4o44bobo4boo4bobo25bo6boo42b4o5bo5boboo6bobo771b7o
36bo67b3o6b3o$405bo5bo42b3o4boobboo35boo5bo28bobb3obo4bo5boo4bo4bobo
776b4o37b5o59bo4bobb3o4b3o28boo$404bo6bo42boo6bobo39bobbobbo26boobbob
4o3bo5bobbo6b3o784bo9bobo21bobboo58boo5boob5ob3o28bobo$403boobo3boo44b
obo3boo3bo7bo28b4obbo26bobobobobbo9bo6booboo784b4o8boo23boobo57bobo3b
3o4booboo29bo$402bobbobbo10boo41b4o8bo32bo6boo25b3obboo10bobobobbo790b
o7bo97bobo35bo$405boboobo8bobo36bobo13b3o27boo7boo3bo21boobo807b6o35bo
bo57b3o6bobbo35boo$402bobo3boobo7bobo38b4o42bo8boboo22boboo15bo4bo779b
3o3boboo96b3o7bo38boo$404b3o3boobo3bo42b4o37bo15b3o41b4o10bo595bo173bo
5bobo31b3o6b3o56bobob4obbo35boo27bo$408boobbo3b4obo39boo37b5o12bo56boo
594boo174bobbooboo26bo4bobb3o4b3o57booboo35booboo27boo$404bo4bo3bobo5b
o78bobboo14b3o46bo5bobo593bobo175bo14b3o13boo5boob5ob3o57b6o34bo4bo26b
obo$405bobboo3bo3b3o92boobo4boo45boo21bo760bo3bo7bo15bobo3b3o4booboo
98bob4o$502boobbo5boboo3bobo45bobo3boobobo10bobo581boo174boo4bobo8bo
24bobo10b3o92boo6b3o17boboboo$411bobo5boo91boboo3b3o49bo7boo8bobbo580b
oo180bo7bo4bo12b3o6bobbo10bo82boo10boo6bo19boobboo$410bo8boobo81bobo6b
o5b3o48bo4bo5boo7boo765b3o4b3o13b3o7bo6b3o6bo80bobo9boo7bo17bobbobo$
410boo6bobbo78boo11boo4bobo48bobbobb6o587boboo186boboo5bobo11bobob4obb
o4bo6bobo81boo11bo8boo$416boob6o74bobbo3b3o4boobboo102b3o544b4o189bo8b
o13booboo9bo4boob4o90boo7boobbo$407boobboo3booboo3bo75bobo11bobo8boo
94bobb3o541bo3boo179boo3b3o10bo12b6o10b4ob5oboo87bo7bo4bo11b3obobo$
407bobb3obbo85bo6bobo3boo3bo5bobo55b3o36bobo548bobbo15bo160bobobboo12b
o28boo7boobo87bo3b4o16boobbo$407bobo4b3o97b4o7bo57bobboo39bo563boo160b
o4bo13bobo128boobboo9boob3o5bo$414boo94bobo15bo53booboo38bo546boo3bo7b
o5bobo162bobo147bo3boo6bo3bo3boo$418bo93b4o12boo47boo48bobo542boo3bo6b
oo166boo20boo129boo11boboobobbo$417bobo92b4o12boo46boo4bobo35boobo6bo
542bo10bobo3boobobo12bo143boo21bobbo126bo6boo$417bobo93boo12boo27bo21b
obboboo34boo3bobbobbo444bo97bo14bo7boo11bo143boo37b3o111bo6bo$523boob
oo27boo23boo13boo16b3o4bobbobbo3bo432boo9boo98boo11bo4bo5boo7b3o141bo
22boobbo15bo123b3o$523bo4bo26bobo22boo4bo7boo17bo6bobbobbo3bo431boo3bo
6bobo110bobbobb6o152b4o19bo18bo120boob4o$523bob4o52bo4b3o6bobbo17bo3bo
6bobo434boboo15b3o149b3o105bobb3obo4bo158boo8boobo$500boobo23boo6b3o
17boboboo26boo6boobo14bobbo8boo439b3o5bobo4booboo149bobb3o101boobbob4o
3bo19b3o137bobbo5bo3bo$500bo3bo22boo6bo19boobboo28boobobboo3bo13bobbo
6b3o439bo6boobobobo119b3o33bobo103bobobobobbo172bo4bo$500bo4bo21boo7bo
17bobbobo30bobo22bo5bo3bo442b3obo6boboo117bobboo36bo104b3obboo18bo4boo
47b3o87bobo8boo$502boo25bo8boo50bobbo4bobobo14boboboobo444boo7bo120boo
boo35bo105boobo21boo53bo84b3o15bobo$504bobo21boo7boobbo43bo3b3o10bo7bo
8boo448boo5boo116boo45bobo102boboo20bobobboo12bo36bo83bobboo$528bo7bo
4bo11b3obobo24boo16bobo4bobo11bo447b5o117boo4bobo32boobo6bo129b3o11bob
o37boo81bobobbo6bo6boo10boo$499bo6boo21bo3b4o16boobbo26bobobo20bobbo
582bobboboo31boo3bobbobbo128bobbo11bobo38bo77boo4boobo5b5o4bobbo6boo3b
o$498b5o4bobbo20boobboo9boob3o5bo31boo13bobo3boo8bobbo573boo13boo13b3o
4bobbobbo3bo123boo19bo117bobo4boo6bo6boo12boboo$492boo4bo6boo15boo10bo
3boo6bo3bo3boo28bobo610boo4bo7boo14bo6bobbobbo3bo123bobobboo51boo80boo
4bo15bo14b3o$492bobo11bo14bobbo8boo11boboobobbo28boobo10b3o6b3o42bo39b
o39bo39bo39bo39bo39bo39bo39bo39bo39bo146bo4b3o6bobbo14bo3bo6bobo9boo
113bobboboo18b3o30boo88boo4boboo6bobo10bo$492bo5boboo6bobo11bobo8bo6b
oo42bo7bo4bobb3o4b3o41boo38boo38boo38boo38boo38boo38boo38boo38boo38boo
38boo151boo6boobo11bobbo8boo11boo118boo51bobo95bo4bobo16b3o$493boo4bo
4bobo16bo10bo6bo41bo7boo5boob5ob3o40bobo37bobo37bobo37bobo37bobo37bobo
37bobo37bobo37bobo37bobo37bobo153boobobboo3bo10bobbo6b3o5boo5bo113bo3b
3o20boo6boo17booboo91bobo7b3o10boobo4boo$493bobbo6b3o40b3o33b3o6bobo3b
3o4booboo598bobo19bo5bo3bo5boo5boo105boo5boo3boo28boo17booboobo97boob
oo11boboo3bobo$493bo6booboo37boob4o29bobbo3boo16bobo601bobbo4bobobo11b
oboboobo8bo4bobobboo99boo5bo25b3o8bobo11boo3boboo94bobobobbo7boo4boboo
3b3o$495bobobobbo39boo8boobo17b3ob3obb5o6b3o6bobbo596bo3b3o10bo13boo
14boo3boob4o99bo4bobo24boo8b3o11bobobbobbo108boo6bo5b3o$543bobbo5bo3bo
16bo5bobbobo7b3o7bo598boo16bobo15bo11boo10bo100boobbo24boobo7boo12bo7b
o96bo4bo7bobo4boo4bobo5boobo$497bo4bo49bo4bo16bo3bo4bo10bobob4obbo596b
obobo55bo100boo16b3o21bobo3bo10bobbo97b4o8b3o4boobboo8bo3bo$475bo22b4o
41bobo8boo20boobobbo13booboo605boo13bobo10bobbo17bo124bobb3o8b3o13bo7b
4obo110boo6bobo10bo4bo$474bo63b3o15bobo18bobo16b6o599bobo53boo122bobo
10boo10bobobo7boo116bobo3boo3bo9boo$474b3o61bobboo34bobo620boobo19b3o
160bo6boo13b3ob3obo125b4o13bobo$539bobobbo6bo6boo50b3o449b3o136bo22b3o
9boo146bo8bo14b3o5bobbo118bobo$514bo26boobo5b5o4bobbo47bo451bo137bo20b
6o10boo147bobo20boo8bo120b4o10bo6boo$512boo28boo6bo6boo44b3o6bo450bo
135b3o34bo142boobo6bo139boo4bo4b4o9b5o4bobbo$513boo27bo15bo44bo6bobo
452boo128bobbo3boo20bo153boo3bobbobbo30bo108boo3boo5boo4boo4bo6boo$
544boo4boboo6bobo41bo4boob4o450bo123b3ob3obb5o20bo147b3o4bobbobbo3bo
29boo126bobo11bo$551bo4bobo47b4ob5oboo454bo17bo98bo5bobbobo22bo147bo6b
obbobbo3bo29bobo125bo5boboo6bobo$545bobo7b3o6bo42boo7boobo10bo432bo7b
oo19boo97bo3bo4bo34bo38boo99bo3bo6bobo140boo17boo4bo4bobo$552booboo6b
oo64bobo26boo400b4obo6boo17boo100boobobbo18b3o3boo8bobo36boo97bobbo8b
oo36boo102boboo18bobbo6b3o$542boo3bobobobbo8bobo54bo8bobbo24boo3bo397b
o4bo128bobo21bo15bobo38bo97bobbo6b3o36boo102b3o19bo6booboo$541bobbo75b
o9boo27boboo398bo4boo126bobo22bobboo11bo41boo95bo5bo3bo129b3o10bo22bob
obobbo$542bobo4bo4bo11boo51bobboo37b3o399bobb3o153booboo49bo99boboboob
o34boboo27b3o62bobb3o11bob3o$543bo6b4o12boo51boboobo36bo405boo148bo4bo
15boo138boo37b4o28bo65bobo13boobbo16bo4bo$613boo4boo42b3o398booboo147b
4oboo14bobbo34bobbo103bo34bo3boo27bo69bo14boo16b4o$562boboo27b3o17bobo
bb3o35boobo4boo399boboo147bo20bobbo33boo146bobbo4boo21boo63bo15boo$
561b4o28bo19bo3bo38boboo3bobo399bobo52b3o94boo3bo15boo33bo105bobbo46b
oo18b3obbo65bobo$561bo3boo27bo21boo3bo9boo17boo4boboo3b3o299boobo7b3o
87boo52bo95b6o28boo17boobbobo134boo9boo3bo4bo16bo74bo6bo$539bo26bobbo
4boo21boo17bo4bo9bobo15boo6bo5b3o299bo3bo6bo144bo85boo6boo33bobo16bobo
bbo135bobo8boo3bo22bobbobo65bobbo$538b5o30boo18b3obbo24bo7bo18bobo4boo
4bobo299bo4bo7bo7boo135boo82bobo3boobbo18b3o11bo14bo3bobo139boo9bo9b3o
17bobo65bobbo$538bobboo22boo3bo4bo16bo24boo4boo7b3o15b3o4boobboo304boo
7bobo4boobo137bo82bo5b3o21bobboo9boo11boo4boo150bo7bob4o12bo71bobbo$
540boobo21boo3bo22bobbobo27boo4bob3o13boo6bobo308bobo4b3obobboo225bo
26bo13bobbo9bobo3boo151boo3b6o13boobobo$566bo9b3o17bobo27b3obo4bo16bob
o3boo3bo311bo3boobboo136bo29boo57boo17boo20bo17b3o154boo4boo7boboo3bo
3bo68bobo$543bobo20bo7bob4o12bo40boobbo20b4o309boob4oboo137b4obo26boo
76boo3bo4b3o12bobob3o7bo3bo154boo4bo7boobooboboo73bo$567boo3b6o13boobo
bo29bo3bo6bobo14bobo315b7o139bo4bo28bo77boboo27bo4boobbo156bo7bo4bobo
3bobo$536b3o6b3o22boo4boo7boboo3bo3bo23b3obboobo27b4o459bo4boo5boo21bo
77b3o20bo9bo161bo7bo13bo67boo4bo$531bo4bobb3o4b3o21boo4bo7boobooboboo
26bo4boo12bobo14b4o461bobb3o4bobo16b6o76bo23b4oboob4o160boo4bo81boo4b
oo$530boo5boob5ob3o22bo7bo4bobo3bobo29bobboo22boo6boo466boo4bo18bobbo
80b3o29boo168bo4bobo74bobboboo$530bobo3b3o4booboo23bo7bo13bo26bobo18bo
bo7boboo467booboo7bo15b6o71boobo4boo200boboobo77booboo$542bobo27boo4bo
41boo12boobo6bo10bo319bo147boboo6bobbo14bo3bo71boboo3bobo200boo8bo$
532b3o6bobbo19boo14bo4bobo32bobo10boo3bobbobbo4bo5bo38b3o37b3o37b3o37b
3o37b3o37b3o37b3o37b3o146bobo7bobbo13boo69boo4boboo3b3o30b3o167bobboo
4b5o63b3obbo$531b3o7bo21bobbo14boboobo40b3o4bobbobbo3bo4bo5bo40bo39bo
39bo39bo39bo39bo39bo39bo147boo4b3obbo12boob3o66boo6bo5b3o30bo170boo6bo
bboo63bobb3obo$533bobob4obbo20bobo14boo8bo26boo7bo6bobbobbo3bo5bo3bo
40bo39bo39bo39bo39bo39bo39bo39bo152bobobbo11boobbo3bo67bobo4boo4bobo
31bo168b3o8boobo63b6o$535booboo25bo15bobboo4b5o20bobbooboo7bo3bo6bobo
7boo474boob4o7b3ob3obo71b3o4boobboo36boo161boobbo$535b6o41boo6bobboo
15booboo3bobbo5bobbo8boo487boboo9bo5bobo71boo6bobo39bo160boobboo13bobo
52bo6boo$581b3o8boobo13boo3bo13bobbo6b3o487bobo4b3o4bo7boo71bobo3boo3b
o199bobboo25boobo37boo5bobbo$577boobbo29bobobobb3o8bo5bo3bo489boo13bo
84b4o35bo29boo136bo7b3o6b3o8bo3bo36bobo3boobo$576boobboo13bobo33bobob
oobo497bobo86bobo37b4obo26boo131boo4boo6bobb3o4b3o7bo4bo39bo$578bobboo
30b3obbo14boo503bobb4o19bo62b4o34bo4bo28bo130bobo12boob5ob3o9boo40bo$
475bo104bo7b3o6b3o13boo22bo500booboo20boo62b4o25boo8bo4boo5boo21bo129b
oo4b3o4b3o4booboo12bobo37bobbo$474bo105boo6bobb3o4b3o46boo316boo174bo
21bobo62boo26bobo9bobb3o4bobo16b6o136bo10bobo$474b3o112boob5ob3o33bobb
o8boo316boo173boo116boo13boo4bo18bobbo138b3o7bobbo10bo6boo$581b3o4b3o
4booboo40boo5bo318bo172bo26boo101booboo7bo15b6o138bo7bo12b5o4bobbo$
514bo68bo10bobo42boo5boo320boo164boobo28boo102boboo6bobbo14bo3bo138b3o
b4obbo4boo4bo6boo$512boo69b3o7bobbo44bo4bobobboo314bo166bo3bo131bobo7b
obbo13boo144booboo8bobo11bo$513boo70bo7bo7b3o39boo3boob4o479bo3bo25boo
105boo4b3obbo12boob3o142b6o7bo5boboo6bobo3bo$585b3ob4obbo5bo41boo10bo
310bobbo166bobo24bobbo108bobobbo11boobbo3bo156boo4bo4bobo6b5o$551bo35b
ooboo10bo52bo38boobo265boobo164bo30boobo108boob4o7b3ob3obo160bobbo6b3o
7bobboo$551bobo33b6o11boo43bo44bo3bo263boo4bo163boo3bobo18b3o114boboo
9bo5bobo160bo6booboo10boobo$551boo52bo45boo3boo36bo4bo264bobobbo161boo
25bo116bobo4b3o4bo7boo160bobobobbo$584boo70b4o10bo25boo271bo49boo118b
oo13boo3bo116boo13bo190bobo$583bobbo15bo29boo21bo4bo8bobo26bobo265bobb
o48boo121bo11boo5boboo119bobo175bo4bo72bobo$584bobo12b4obo26boo17bo4bo
4bo8bobbo294bobo50bo121boo11bo5b3o11boobo106bobb4o170b4o9b3o6b3o52boo$
585bo13bo4bo28bo15boo3boo14boo21bo6boo265bobo52boo133bob4o12bo3bo105b
ooboo162boo3boo11bo4bobb3o4b3o52bo$600bo4boo5boo21bo13bobo3bo36b5o4bo
bbo263boo51bo121bobobboo6bobboo14bo4bo107bo5b3o155boo3boo10boo5boob5ob
3o$576b3o23bobb3o4bobo16b6o16b5o10bo17boo4bo6boo187bo10boo67bo176boobo
bbo3boo20boo107boo6bobb3o152boo15bobo3b3o4booboo$576bobb3o24boo4bo18bo
bbo18b4o10boo17bobo11bo186b5o6boo120bobbo25boo100bobob3o21bobo104bo8bo
bo154boo27bobo$577bobo23booboo7bo15b6o16boo5bo6bobo16bo5boboo6bobo182b
obboo8bo7boo107boobo28bobo99bobo127boobo15bo152bo17b3o6bobbo$582bo21bo
boo6bobbo14bo3bo17bo3boo27boo4bo4bobo188boobo5boo6b3obo105boo4bo26bo
96bobo25bo6boo98bo3bo12bo150boobbo16b3o7bo$580bo23bobo7bobbo13boo28bo
6boboo15bobbo6b3o198boo3boboo111bobobbo6bo21bo81boo37b5o4bobbo90boo3bo
3bo14bobo10bo123boo9bo8bo14bobob4obbo$582bobo20boo4b3obbo12boob3o27b3o
b4obobo13bo6booboo193bobo6boo120bo5boo18bobb3o78boo3bo28boo4bo6boo94bo
bo4bobo7boobo6bo8b5o119boo3bo6bo3bo4boo15booboo$575boobo6bo23bobobbo
11boobbo3bo28boboobbo3bo15bobobobbo200b3obo4bo113bobbo5bobo16boobo83bo
boo28bobo11bo95boo13boo3bobbobbo8bobboo121boboo7b3o4boboo14b6o$574boo
3bobbobbo22boob4o7b3ob3obo31bobboo6b3o218b3o3bo4bo115bobo25boob3o82b3o
27bo5boboo6bobo98bobo6bobbobbo3bo10boobo122b3o11boboboo$568b3o4bobbobb
o3bo23boboo9bo5bobo26boo3bobo10bo15bo4bo198bo7bo117bobo8boo103bo30boo
4bo4bobo111bobbobbo3bo136bo14boobbo$568bo6bobbobbo3bo23bobo4b3o4bo7boo
23boo3bobbo10b3o14b4o199bo6bo119boo7b4o13bo90b3o26bobbo6b3o105boo5bo6b
obo14bobo122b3o11bobbo$571bo3bo6bobo25boo13bo32bo3bo14bo344bo5bobo16bo
boobo79boobo4boo26bo6booboo108bo9boo143boo13boo$568bobbo8boo35bobo36b
oo3bo15b3o217bobo126b3obbo12boboobobo80boboo3bobo28bobobobbo111boo6b3o
10b3o6b3o121boo$569bobbo6b3o37bobb4o30boo12boobo4boo218bo117bo9bo3boo
8boob3oboboo75boo4boboo3b3o42boo108bo3bo6bo4bobb3o4b3o120boo$570bo5bo
3bo38booboo46boboo3bobo18boo38boo38boo38boo38boo36booboo113bobo9bobo
10boo7boo75boo6bo5b3o30bo4bo5boo105boboboobo6boo5boob5ob3o120boo$572bo
boboobo42bo5b3o26boo5boo4boboo3b3o19boo38boo38boo38boo38boo35booboo
114boo10boo4boo6boboo3boo76bobo4boo4bobo31b4o8bo106boo10bobo3b3o4boob
oo121boo$574boo30boo12boo6bobb3o21bo7boo6bo5b3o18bo39bo39bo39bo39bo
168bo6boo90b3o4boobboo19boo27boo107bo19bobo6b3o116boo$578bo26bobbo11bo
8bobo19bobb5o5bobo4boo4bobo354boo5bo84boo6bobo20bobbo7bo17bo119b3o6bo
bbo6bobb3o114bo$606bobo6boobo15bo11boobbobo4bobo4b3o4boobboo13bo345bo
bbobbo85bobo3boo3bo18boo7b3o123bobbo8b3o7bo10bobo115bo$575bobbo28bo7bo
3bo12bo13bobobo4bo8boo6bobo14bobo344b4obbo18b3o70b4o28boobbo14bobbo25b
oo91bobob4obbo13bo107boo$615bo3bo14bobo9bo3bo15bobo3boo3bo11bobbo346bo
21bo68bobo33b5obo9boobo28bobo92booboo15bo109bobobbobo$617bobo7boobo6bo
14booboo15b4o14boo344boo24bo69b4o31bobbobbo7boo4bo26bo86boo6b6o16bobo
105bo3bobo$626boo3bobbobbo11bo18bobo367bo25boo66b4o11bo20b3obbo9bobobb
o6bo21bo79boobob3o19boobo6bo107boobbo$618bobo6bobbobbo3bo11booboo16b4o
359bo31bo67boo3boo7bobo38bo5boo18bobb3o77boobo22boo3bobbobbo108bobo$
627bobbobbo3bo32b4o9boo202boo143b5o101bobo6boo36bobbo5bobo16boobo79bob
obo3bo12b3o4bobbobbo3bo102boo3boo$475bo144boo5bo6bobo34boo10bobo201bob
o142bobboo25boo74bo47bobo25boob3o77boo18bo6bobbobbo3bo101boobob3o$474b
o147bo9boo42boo5bo203bo174boo77bo44bobo8boo98boo3bo17bo3bo6bobo104bobo
$474b3o146boo6b3o6boo34bobo3boobbo203bo143boobbo22bobo77boo20bo23boo7b
4o13bo83booboo15bobbo8boo$628bo3bo6boo35bo11bo201boo165booboo79boo19b
5o20bo5bobo16boboobo79boo19bobbo6b3o104boo$514bo109boboboobo9bo37bo3b
oo3b3o199boo144bobo17booboobo77boo20bobboo24b3obbo12boboobobo68boobo9b
5o16bo5bo3bo97b3o5boo3bobo$512boo112boo15boo34boo4boo4bo197boo161boo3b
oboo75booboo23boobo23bo3boo8boob3oboboo69bo3bo9boobbo17boboboobo98bo6b
obo$513boo115bo11bo42b7o39bo153booboo148b3o11bobobbobbo75bo4bo49bobo
10boo7boo70bo4bo9boboo19boo103bo4boo$686b4o40b5o150bo4bo161bo7bo13bo
61bob4o25bobo22boo4boo6boboo3boo72boo10boobo24bo102b4obo$551bo75bobbo
10bobbo25boo21bo36bobboo150bob4o149bobo3bo10bobbo12b5o62boo50bo6boo88b
obo8b3o128boo$551bobo84boobo28bobo19b4o36boobo153boo155bo7b4obo13bobb
oo62boo27b3o27boo5bo88boo4bo22bobbo$551boo84boo4bo26bo25bo192boo151bob
obo7boo19boobo61boo28b3o28bobbobbo83boo5b3o$624boo13bobobbo6bo21bo17b
6o38bobo151boo153b3ob3obo89bo24b6o28b4obbo84bo5boo$589bobo23boo6bobbo
bbo14bo5boo18bobb3o9b3o3boboo196bo152b3o5bobbo22bobo60boo61bo6boo83bo
242bobo$589boo23boo3bo7boobo10bobbo5bobo16boobo12bo5bobo16bo17b3o6b3o
150boo153boo8bo85bo28bo17boo11boo7boo3bo75boobbo243boo$590bo25boboo4bo
5bo11bobo25boob3o10bobbooboo15bobo11bo4bobb3o4b3o90boo57bo141boobo35b
3o6b3o59bo27bo17bobo12bo8boboo75bo248bo$618b3o4bo3bo12bobo8boo33bo14b
3o3bobbo9boo5boob5ob3o78b3o9bobo57bo140bo3bo29bo4bobb3o4b3o86bo18boo7b
o15b3o$618bo7b3o14boo7b4o13bo21bo3bo7bo6boo10bobo3b3o4booboo79bobb3o6b
o9bo190bo4bo27boo5boob5ob3o113b5o12bo77b3o$620b3o20bo5bobo16boboobo15b
oo4bobo8bo27bobo83bobo16boobo191boo11bo17bobo3b3o4booboo81b3o3boo25bo
bboo14b3o$613boobo4boo24b3obbo12boboobobo22bo7bo4bo15b3o6bobbo88bo4boo
bbo3boobbo193bobo7boo29bobo84bo44boobo4boo9b3o57bo4boo$613boboo3bobo
24bo3boo8boob3oboboo25b3o4b3o16b3o7bo89bo6boobboboobbo206b3o17b3o6bobb
o85bobboo29boobbo5boboo3bobo9bobb3o53boo$607boo4boboo3b3o24bobo10boo7b
oo28boboo5bobo14bobob4obbo89boboobo3b5o192bo6boo9bo16b3o7bo91booboo36b
oboo3b3o10bobo55bobobboo$606boo6bo5b3o25boo4boo6boboo3boo30bo8bo16boob
oo102boo194b5o4bobbobboo3bo3b3o11bobob4obbo84bo4bo32bobo6bo5b3o15bo56b
3o168bo$607bobo4boo4bobo25bo6boo36boo3b3o10bo15b6o93bobb6o189boo4bo6b
oo6b3oboboo3boo12booboo6b3o78b4oboo41boo4bobo13bo57bobbo167bo$607b3o4b
oobboo35boo5bo30bobobboo12bo114b7o190bobo11bo7boo3boobobboo11b6o5bo80b
o40b3o4boobboo18bobo48boo174b3o$607boo6bobo39bobbobbo29bo4bo13bobo114b
3o192bo5boboo6bobo8bo5bo24bo80boo3bo42bobo13boobo6bo47bobobboo$609bobo
3boo3bo36b4obbo32bobo326boo4bo4bobo13bobboo27boo76b6o37bobo3boo3bo9boo
3bobbobbo47bobboboo$615b4o41bo6boo23boo13bo6boo309bobbo6b3o14bo32bo67b
oo6boo48b4o5b3o4bobbobbo3bo51boo$611bobo43boo7boo3bo20boo12b5o4bobbo
23boo38boo38boo201bo6booboo116bobo3boobbo43bobo10bo6bobbobbo3bo46bo3b
3o$613b4o42bo8boboo21boo5boo4bo6boo26bobo37bobo37bobo114bobo86bobobobb
o47bo29boo39bo5b3o47b4o10bo3bo6bobo5boo32boo5boo3boo$613b4o37bo15b3o
18bo8bobo11bo28bo39bo39bo115boo138b4obo26boo43bo52b4o7bobbo8boo7boo3bo
28boo5bo$614boo37b5o12bo20b4o5bo5boboo6bobo220bo89bo4bo44bo4bo28bo42b
oo52boo9bobbo6b3o9boboo30bo4bobo$648boo3bobboo14b3o8bobb3obo4bo5boo4bo
4bobo215boo98b4o46bo4boo5boo21bo106bo5bo3bo12b3o31boobbo$647bobbo14boo
bo4boo7boobbob4o3bo5bobbo6b3o216bobo104bo44bobb3o4bobo16b6o107boboboob
o13bo33boo$648bobo4boobbo5boboo3bobo7bobobobobbo9bo6booboo210boo5bo
105boo48boo4bo18bobbo96bo14boo19b3o$649bo15boboo3b3o11b3obboo10bobobo
bbo212bobo3boobbo102bobo44booboo7bo15b6o92booboo16bo9boobo4boo$657bobo
6bo5b3o10boobo41bo192bo11bo148boboo6bobbo14bo3bo92booboo26boboo3bobo$
666boo4bobo11boboo15bo4bo18bobo194bo3boo3b3o101boo43bobo7bobbo13boo
114bobbo3boo4boboo3b3o$659b3o4boobboo34b4o10bo8bobbo87bo105boo4boo4bo
100boo19b3o22boo4b3obbo12boob3o93booboo20boo6bo5b3o$667bobo49boo9boo
87boo111b7o36bo84bobb3o23bobobbo11boobbo3bo93booboo21bobo4boo4bobo$
661bobo3boo3bo5b3o32bo5bobo97bobo111b4o37b5o56boboo22bobo24boob4o7b3ob
3obo99bo23b3o4boobboo$475bo191b4o7bo33boo226bo33bobboo55b4o28bo12boo8b
oboo9bo5bobo123boo6bobo$474bo188bobo13bo32bobo3boobobo98boo115b4o33boo
bo54bo3boo24bo14bobo7bobo4b3o4bo7boo89bo33bobo3boo3bo63bo$474b3o188b4o
12boo33bo7boo96boo119bo95bobbo23bobo11boo8boo13bo95b5o36b4o63boo$665b
4o13bo32bo4bo5boo210b6o35bobo87bo27bobo101bobboo32bobo69boo$514bo151b
oo47bobbobb6o91boboo110b3o3boboo96boo3bo22bobbo29bobb4o97boobo33b4o$
512boo165bo29boo106b4o111bo5bobo31b3o6b3o54boo3bo22bobbo29booboo136b4o
$513boo161b4obo26boo107bo3boo110bobbooboo26bo4bobb3o4b3o54bo26bobbo32b
o5b3o95bobo32boo$676bo4bo28bo17b3o91bobbo109bo14b3o13boo5boob5ob3o54bo
60boo6bobb3o$551bo101boobo20bo4boo5boo21bo15bobboo205bo3bo7bo15bobo3b
3o4booboo56boo25bobo30bo8bobo96b3o$551bobo99bo3bo21bobb3o4bobo16b6o13b
ooboo89boo3bo109boo4bobo8bo24bobo10b3o75bo25boobo15bo94b3o$551boo100bo
4bo24boo4bo18bobbo10boo39boo56boo3bo115bo7bo4bo12b3o6bobbo10bo103bo3bo
12bo93b6o$655boo13boo8booboo7bo15b6o7boo4bobo21b3o9bobo56bo121b3o4b3o
13b3o7bo6b3o6bo69boo4bo25bo3bo14bobo10bo$589bobo65bobo9bobbo8boboo6bo
bbo14bo3bo9bobboboo21bobb3o6bo9bo48bo123boboo5bobo11bobob4obbo4bo6bobo
68boo4boo27bobo7boobo6bo8b5o78bo329bobo$589boo79bobo8bobo7bobbo13boo
15boo13boo10bobo16boobo48boo123bo8bo13booboo9bo4boob4o67bobboboo35boo
3bobbobbo8bobboo78bo329boo$590bo61bo6boo10bo10boo4b3obbo12boob3o13boo
4bo7boo16bo4boobbo3boobbo165boo3b3o10bo12b6o10b4ob5oboo66booboo27bobo
6bobbobbo3bo10boobo77bo330bo$628bo22b5o4bobbo22bobobbo11boobbo3bo14bo
4b3o6bobbo6bo4bo6boobboboobbo167bobobboo12bo28boo7boobo106bobbobbo3bo$
627bo17boo4bo6boo25boob4o7b3ob3obo24boo6boobo5bobo5boboobo3b5o169bo4bo
13bobo98b3obbo34boo5bo6bobo14bobo69b3o3boo$627b3o15bobo11bo26boboo9bo
5bobo26boobobboo3bo3bobbo13boo83bo11bo79bobo114bobb3obo34bo9boo89bo$
645bo5boboo6bobo22bobo4b3o4bo7boo25bobo12boo6bobb6o83boo12bo74boo20boo
98b6o36boo6b3o10b3o6b3o68bobboo$646boo4bo4bobo7bo19boo13bo32bobbo4bobo
bo11b7o78bo5bobo9b3o74boo21bobbo6bo135bo3bo6bo4bobb3o4b3o70booboo$646b
obbo6b3o6boo27bobo33bo3b3o10bo13b3o79boo95boo28b3o79bo6boo38boo3bobob
oobo6boo5boob5ob3o65bo4bo$646bo6booboo8boo28bobb4o26boo16bobo93bobo3b
oobobo83bo22boobbobboo3bo77boo5bobbo37bobo4boo10bobo3b3o4booboo65b4ob
oo254bo$648bobobobbo40booboo28bobobo113bo7boo81b4o19bo10bo78bobo3boobo
39boo8bo19bobo6b3o59bo259bo$699bo5b3o26boo13bobo94bo4bo5boo71bobb3obo
4bo24bo5bo81bo64b3o6bobbo6bobb3o57boo3bo253b3o$650bo4bo41boo6bobb3o18b
obo114bobbobb6o71boobbob4o3bo19b3o3bo3bo81bo52bobbo8b3o7bo10bobo58b6o$
651b4o42bo8bobo19boobo10b3o6b3o140b3o32bobobobobbo32bo82bobbo63bobob4o
bbo13bo46boo6boo$692boobo15bo17bo7bo4bobb3o4b3o139bobb3o33b3obboo18bo
4boo10bo36b3o108booboo15bo48bobo3boobbo$692bo3bo12bo18bo7boo5boob5ob3o
104b3o33bobo34boobo21boo14b4o35bo110b6o16bobo44bo5b3o$692bo3bo14bobo
13b3o6bobo3b3o4booboo105bobboo36bo32boboo20bobobboo8bo3bo36bo124boobo
6bo46bo$694bobo7boobo6bo8bobbo3boo16bobo107booboo35bo62b3o8bobbo39boo
120boo3bobbobbo46boo$703boo3bobbobbo3b3ob3obb5o6b3o6bobbo102boo45bobo
57bobbo9b3o40bo114b3o4bobbobbo3bo77bo$690boo3bobo6bobbobbo3bo3bo5bobbo
bo7b3o7bo104boo4bobo32boobo6bo51boo174bo6bobbobbo3bo77bobo$689bobbo11b
obbobbo3bo4bo3bo4bo10bobob4obbo104bobboboo31boo3bobbobbo51bobobboo51b
oo119bo3bo6bobo78boo$690bobo4boo5bo6bobo7boobobbo13booboo110boo13boo
13b3o4bobbobbo3bo51bobboboo51boo116bobbo8boo$691bo7bo9boo11bobo16b6o
109boo4bo7boo14bo6bobbobbo3bo55boo51bobo117bobbo6b3o$700boo6b3o11bobo
132bo4b3o6bobbo14bo3bo6bobo9boo40bo3b3o28boo17booboo86boobo30bo5bo3bo$
705bo3bo153boo6boobo11bobbo8boo11boo33boo5boo3boo28boo17booboobo85bo3b
o31boboboobo$701boboboobo156boobobboo3bo10bobbo6b3o5boo5bo32boo5bo36bo
bo11boo3boboo87bo4bo32boo$690boo11boo161bobo19bo5bo3bo5boo5boo34bo4bob
o34b3o11bobobbobbo89boo38bo$689boo16bo158bobbo4bobobo11boboboobo8bo4bo
bobboo31boobbo35boo12bo7bo91bobo$475bo214bobo168bo3b3o10bo13boo14boo3b
oob4o29boo16b3o21bobo3bo10bobbo122boobbobbo$474bo215b3o11bobbo152boo
16bobo15bo11boo10bo46bobb3o24bo7b4obo94boo26bobbo174bo$474b3o213boo
168bobobo55bo47bobo22bobobo7boo99bobbo23bobbo172boo$692bobo170boo13bob
o10bobbo17bo58bo21b3ob3obo129bobbo173boo$514bo345bobo53boo53bo23b3o5bo
bbo98boobbo22boboo$512boo180bobo162boobo19b3o88bobo20boo8bo98bo25b3o$
513boo181b3o161bo22b3o5boo73boobo6bo155boo$696bo162bo20b6o6boo71boo3bo
bbobbo30bo98b3o$551bo143bo162b3o29bobo66b3o4bobbobbo3bo29boo118boo$
551bobo136boboobo4bo153bobbo3boo20bo6bobo66bo6bobbobbo3bo29bobo93bo4b
oo$551boo136booboobo153b3ob3obb5o20bo78bo3bo6bobo125boo22bo$689bobo4bo
152bo5bobbobo22bo7boo66bobbo8boo36boo90bobobboo15boo$589bobo102boo154b
o3bo4bo31b7o35boo25bobbo6b3o36boo94b3o16boo413bobo$589boo103bo3bo153b
oobobbo18b3o3boo9booboo33boo27bo5bo3bo19boo111bobbo431boo$590bo102bo3b
o12bo142bobo21bo18bobbo34bo28boboboobo20bobo11boboo27b3o60boo439bo$
628bo82bo141bobo22bobboo14boo37boo27boo25boo10b4o28bo62bobobboo$627bo
65bobbo13boo169booboo10bo38bo33bo34bo3boo27bo61bobboboo$627b3o62boobo
14bo165bo4bo14bo112bobbo4boo21boo61boo$692bo182b4oboo15boo35bobbo28bo
bbo46boo18b3obbo56bo3b3o$667bo23boo182bo21boo34boo73boo3bo4bo16bo54boo
5boo3boo$665boo24bo184boo3bo12boobo34bo75boo3bo22bobbobo47boo5bo$666b
oo24bo182b6o14b3o11boo17boobbobo74bo9b3o17bobo49bo4bobo363bo$866boo6b
oo20bo12bobo16bobobbo75bo7bob4o12bo57boobbo363bo$866bobo3boobbo32bo14b
o3bobo79boo3b6o13boobobo53boo366b3o$866bo5b3o35boo11boo4boo82boo4boo7b
oboo3bo3bo$869bo40bobbo9bobo3boo82boo4bo7boobooboboo$869boo17boo20bo
17b3o83bo7bo4bobo3bobo$887boo3bo19bobob3o7bo3bo83bo7bo13bo$889boboo27b
o4boobbo85boo4bo$891b3o20bo9bo98bo4bobo$891bo23b4oboob4o97boboobo196bo
$683boo208b3o29boo97boo8bo191bobo$683bobo200boobo4boo128bobboo4b5o188b
oo$654bo21boo5bo202boboo3bobo115boo12boo6bobboo$653boo21bobo3boobbo
193boo4boboo3b3o30b3o82bobo10b3o8boobo$653bobo20bo11bo190boo6bo5b3o30b
o85boo6boobbo$679bo3boo3b3o189bobo4boo4bobo31bo91boobboo13bobo$655b3o
21boo4boo4bo188b3o4boobboo36boo90bobboo25boobo$654b3o28b7o188boo6bobo
39bo92bo7b3o6b3o8bo3bo$656bobo27b4o192bobo3boo3bo129boo6bobb3o4b3o7bo
4bo$475bo182b3o227b4o35bo29boo73boob5ob3o9boo$474bo183b3o223bobo26boo
9b4obo26boo66b3o4b3o4booboo12bobo253bo$474b3o184bo18bo205b4o23bobo8bo
4bo28bo67bo10bobo269boo$658bobbo18boo204b4o24boo9bo4boo5boo21bo65b3o7b
obbo10bo6boo251boo$514bo142bo3bo17bobo205boo38bobb3o4bobo16b6o66bo7bo
12b5o4bobbo$512boo139booboo3bo269boo4bo18bobbo68b3ob4obbo4boo4bo6boo$
513boo137boo7bo266booboo7bo15b6o68booboo8bobo11bo$654boboobbo268boboo
6bobbo14bo3bo68b6o7bo5boboo6bobo3bo$551bo108bo268bobo7bobbo13boo86boo
4bo4bobo6b5o$551bobo103bobo270boo4b3obbo12boob3o84bobbo6b3o7bobboo$
551boo105bo275bobobbo11boobbo3bo84bo6booboo10boobo55bo$657bo275boob4o
7b3ob3obo90bobobobbo69boo$589bobo64bobo275boboo9bo5bobo78bo34bobo52boo
413bobo$589boo65bobo275bobo4b3o4bo7boo75b3o12bo4bo485boo$590bo64bo279b
oo13bo81bo3bo12b4o9b3o6b3o466bo$628bo26boo285bobo86b3ob3o19bo4bobb3o4b
3o$627bo27boo287bobb4o80bo4bo19boo5boob5ob3o$627b3o314booboo81b3ob3o
19bobo3b3o4booboo$947bo5b3o75bo3bo32bobo$945boo6bobb3o73b3o23b3o6bobbo
$679bobo263bo8bobo76bo23b3o7bo$680boo251boo5boobo15bo64boo33bobob4obbo
392bo$680bo252bobo4bo3bo12bo65boo3bo32booboo395bo$934boo4bo3bo14bobo
10bo52boboo32b6o394b3o$942bobo7boobo6bo8b5o51b3o$951boo3bobbobbo8bobb
oo51bo$943bobo6bobbobbo3bo10boobo52b3o$952bobbobbo3bo67boo$945boo5bo6b
obo14bobo51boo$947bo9boo71boo$948boo6b3o10b3o6b3o49boo194bo$953bo3bo6b
o4bobb3o4b3o48boo194bobo$949boboboobo6boo5boob5ob3o49boo193boo$951boo
10bobo3b3o4booboo51bo$955bo19bobo6b3o44bo$965b3o6bobbo6bobb3o36boo$
952bo11b3o7bo10bobo38bobobbobo$954b3o9bobob4obbo13bo35bo3bobo$955b3o
10booboo15bo40boobbo$954booboo9b6o16bobo37bobo$475bo479b3o25boobo6bo
30boo3boo$474bo214boo291boo3bobbobbo29boobob3o280bo$474b3o212bobo264bo
19b3o4bobbobbo3bo31bobo281boo$682boo5bo266b4o16bo6bobbobbo3bo316boo$
514bo167bobo3boobbo260boboobo20bo3bo6bobo29boo$512boo168bo11bo257b4o
20bobbo8boo24b3o5boo3bobo$513boo170bo3boo3b3o256bo3bo19bobbo6b3o24bo6b
obo$685boo4boo4bo246boobo5booboo20bo5bo3bo26bo4boo$551bo139b7o36bo209b
o3bo31boboboobo29b4obo$551bobo138b4o37b5o206bo4bo4bobo25boo34boo$551b
oo146bo33bobboo208boo7bo30bo62bo75bo$698b4o33boobo209bobo4bo92bo74boo$
589bobo110bo280bobbo61b3o73boo413bobo$589boo106b6o35bobo209boo587boo$
590bo100b3o3boboo250bobbo585bo$628bo62bo5bobo31b3o6b3o$627bo64bobboob
oo26bo4bobb3o4b3o206boobbo$627b3o64bo14b3o13boo5boob5ob3o206bo$697bo3b
o7bo15bobo3b3o4booboo$645boo48boo4bobo8bo24bobo10b3o198b3o$644boo55bo
7bo4bo4bobo5b3o6bobbo10bo$615boo21boo5bo57b3o4b3o7boo4b3o7bo6b3o6bo
194bo4boo508bo$615bobo19boo5boo59boboo5bobo3bo7bobob4obbo4bo6bobo193b
oo513bo$615bo23bo4bobobboo56bo8bo13booboo9bo4boob4o190bobobboo508b3o$
616boo23boo3boob4o46boo3b3o10bo12b6o10b4ob5oboo191b3o$616bobbo21boo10b
o45bobobboo12bo28boo7boobo189bobbo$616bo36bo45bo4bo13bobo223boo$618bob
o26bo54bobo239bobobboo$622bo26boo47boo20boo222bobboboo$620bobbo74boo
21bobbo223boo$620bobbo75boo47b3o192bo3b3o276bo$622b3o72bo22boobbo25bo
184boo5boo3boo277bobo$618b3ob3o72b4o19bo28bo184boo5bo284boo$614b3oboo
bb3o64bobb3obo4bo234bo4bobo$614bo7boo64boobbob4o3bo19b3o214boobbo$615b
o6boo64bobobobobbo240boo$618b5o69b3obboo18bo4boo47b3o$620boo69boobo21b
oo53bo$619boo71boboo20bobobboo49bo$619boo99b3o51boo$475bo142bobo98bobb
o52bo194bo$474bo142boo95boo252boo341bo$474b3o140bobo94bobobboo51boo
195boo338boo$616bo97bobboboo19bo31boo536boo$514bo102boo99boo19bobo29bo
bo$512boo199bo3b3o19bobo6boo17booboo$513boo190boo5boo3boo21bo6boo17boo
boobo$704boo5bo36bobo11boo3boboo$551bo154bo4bobo34b3o11bobobbobbo$551b
obo154boobbo27boo6boo12bo7bo$551boo155boo16b3o10boo9bobo3bo10bobbo278b
o75bo$726bobb3o8bobo13bo7b4obo278bo74boo$589bobo135bobo10bobo9bobobo7b
oo282b3o73boo413bobo$589boo141bo8bo12b3ob3obo776boo$590bo139bo23b3o5bo
bbo774bo$732bobo4b3o13boo8bo$651bo73boobo6bo3bobbo$649bobo72boo3bobbo
bbo4boboo$650boo66b3o4bobbobbo3bo4bobo$674boo42bo6bobbobbo3bo5bo$673b
oo46bo3bo6bobo$675bo42bobbo8boo730bo$677boo40bobbo6b3o729bo$676bo43bo
5bo3bo730b3o$722boboboobo$675bobbo25boo18boo$672boobo28bobo21bo$671boo
4bo26bo$673bobobbo6bo21bo17bobbo$678bo5boo18bobb3o$675bobbo5bobo16boob
o519bo$676bobo25boob3o516bobo$676bobo8boo537boo$677boo7b4o13bo$677bo5b
obo16boboobo53boo$681b3obbo12boboobobo54bobo$681bo3boo8boob3oboboo56b
oo$681bobo10boo7boo$682boo4boo6boboo3boo$682bo6boo$475bo213boo5bo273bo
$474bo216bobbobbo270boo341bo$474b3o214b4obbo18b3o250boo338boo$694bo21b
o593boo$514bo176boo24bo$512boo179bo25boo$513boo173bo31bo$687b5o$551bo
135bobboo25boo$551bobo163boo$551boo136boobbo22bobo330bo75bo$712booboo
331bo74boo$589bobo99bobo17booboobo330b3o73boo413bobo$589boo116boo3bob
oo823boo$590bo102b3o11bobobbobbo65boo757bo$707bo7bo13bo51bobo$691bo3bo
bo3bo10bobbo12b5o49boo$606b3o80bobo9bo7b4obo13bobboo$606bo83boo5bobobo
7boo19boobo$577boo20b3o6bo90b3ob3obo$576boo21bo6bobo90b3o5bobbo22bobo$
577bobo20bo4boob4o88boo8bo65b3o683bo$577b3o22b4ob5oboo72boobo35b3o6b3o
38bo684bo$577boo24boo7boobo71bo3bo29bo4bobb3o4b3o30b3o6bo682b3o$579bob
o105bo4bo27boo5boob5ob3o30bo6bobo$689boo29bobo3b3o4booboo32bo4boob4o$
581bobo107bobo38bobo37b4ob5oboo$583b3o24bobo109b3o6bobbo38boo7boobo$
583bo26boo74bo6boo26b3o7bo$582bo28boo72b5o4bobbo25bobob4obbo52bo$577bo
boobo4bo22bo68boo4bo6boo31booboo56bo439bo$576booboobo96bobo11bo31b6o
54bobboo57boo377bobo$576bobo4bo95bo5boboo6bobo87boboobo55boo378boo$
581boo97boo4bo4bobo85boo4boo61bo$581bo3bo94bobbo6b3o86bobobb3o14boo47b
oo$580bo3bo95bo6booboo34bo52bo3bo17bobo45bo$682bobobobbo24boo10bo55boo
3bo9boo3boo$580bobbo129bobbobb3oboboboo53bo4bo9bobo48bobbo$579boobo
101bo4bo24boo4bobbobobbo60bo7bo49boo$579bo105b4o32boo3b3o54boo4boo7b3o
45bo$475bo102boo112bo99boo4bob3o20boo17boobbobo121bo$474bo103bo112boo
99b3obo4bo21bobo16bobobbo120boo341bo$474b3o102bo111bobo105boobbo19bo
14bo3bobo124boo338boo$792bo3bo6bobo18boo11boo4boo465boo$514bo179boo90b
3obboobo29bobbo9bobo3boo$512boo180boo4bobo12b3o68bo4boo12bobo16bo17b3o
$513boo185boo13bobb3o67bobboo33bobob3o7bo3bo$690boboo7bo14bobo67bobo
18bobo24bo4boobbo$551bo137b4o28bo64boo12boobo6bo17bo9bo$551bobo135bo3b
oo24bo66bobo10boo3bobbobbo18b4oboob4o$551boo141bobbo23bobo69b3o4bobbo
bbo3bo28boo208bo75bo$724bo59boo7bo6bobbobbo3bo237bo74boo$610bo82boo3bo
22bobbo56bobbooboo7bo3bo6bobo13boo223b3o73boo413bobo$611boo80boo3bo22b
obbo51booboo3bobbo5bobbo8boo15bobbo713boo$610boo82bo26bobbo50boo3bo13b
obbo6b3o17b3o713bo$694bo82bobobobb3o8bo5bo3bo12boo4boo$695boo25bobo72b
oboboobo12bo$724bo54b3obbo14boo16bo3bo$744boo33boo22bo14b4o$637b3o78b
oo4bo19bobo61bo16bobbo$637bo79boo4boo20boo53bobbo3b5o12b5o$638bo80bobb
oboo81bobboo5boo4bo4bo633bo$640boo79booboo83boobo4boo4bo5bo631bo$641bo
182bobb3o631b3o$715b3obbo91bobo11b3o$638bo29boo45bobb3obo142boo38boo
38boo$635b4obo26boo47b6o83b3o6b3o49boo38boo38boo$635bo4bo28bo130bo4bo
bb3o4b3o47bo39bo39bo$636bo4boo5boo21bo35bo6boo83boo5boob5ob3o$638bobb
3o4bobo16b6o33boo5bobbo82bobo3b3o4booboo$642boo4bo18bobbo35bobo3boobo
95bobo412bo$639booboo7bo15b6o37bo90b3o6bobbo412bobo$640boboo6bobbo14bo
3bo36bo90b3o7bo415boo$640bobo7bobbo13boo40bobbo89bobob4obbo4b3o157boo$
641boo4b3obbo12boob3o133booboo8bobb3o154boo$645bobobbo11boobbo3bo133b
6o8bobo$644boob4o7b3ob3obo156bo$645boboo9bo5bobo154bo$645bobo4b3o4bo7b
oo95boo57bobo$646boo13bo102bobo49boobo6bo$475bo177bobo109boo48boo3bobb
obbo$474bo180bobb4o19bo127b3o4bobbobbo3bo484bo$474b3o178booboo20boo
127bo6bobbobbo3bo482boo$658bo21bobo129bo3bo6bobo484boo$514bo54bo86boo
151bobbo8boo$512boo54boo86bo26boo125bobbo6b3o$513boo47bo5bobo80boobo
28boo126bo5bo3bo$538b3o20boo88bo3bo157boboboobo$538bo12bo9bobo3boobobo
78bo3bo25boo80boo50boo$541bo9bobo11bo7boo78bobo24bobbo78boo55bo$538bo
bbo9boo11bo4bo5boo102boobo73boo5bo285bo75bo$539bobbo21bobbobb6o78bobo
18b3o77boo5boo52bobbo228bo74boo$540bo109bo24bo81bo4bobobboo279b3o73boo
413bobo$542bobo106boo3boo13boo3bo82boo3boob4o226boo540boo$544boo104boo
6bo11boo5boboo78boo10bo225boo541bo$545bo113boo11bo5b3o11boobo75bo$544b
oo128bob4o12bo3bo68bo$543b3o114bobobboo6bobboo14bo4bo69boo3boo$538boob
ooboo116boobobbo3boo20boo76b4o8boo47boo$538bo3boboo122bobob3o21bobo72b
o4bo7bobo46bobo$538bob3obbo122bobo95bo4bo4bo8boo46bo$543boo118bobo25bo
6boo65boo3boo64bo625bo$542b3o106boo37b5o4bobbo62bobo3bo64boo623bo$650b
oo3bo28boo4bo6boo70b5o10bo51boo623b3o$652boboo28bobo11bo70b4o10boo50b
oo$541b3o110b3o27bo5boboo6bobo66boo5bo6bobo48boo$541b3o110bo30boo4bo4b
obo71bo3boo56boobbo$656b3o26bobbo6b3o79bo6boboo22bo18bobb3o$540boo107b
oobo4boo26bo6booboo81b3ob4obobo19boo17boo$540bo108boboo3bobo28bobobobb
o84boboobbo3bo19bobo16bobo$643boo4boboo3b3o119bobboo6b3o31b3o3bo396bo$
642boo6bo5b3o30bo4bo78boo3bobo10bo19b3o9bo6bobbo392bobo$643bobo4boo4bo
bo31b4o78boo3bobbo10b3o16b3o11bo4bo396boo$643b3o4boobboo30bo87bo3bo14b
o18bobo11boboo3bo183boo$643boo6bobo22boo7bobo84boo3bo15b3o18b6o5b5o
187boo$645bobo3boo3bo18bobbo5boobo84boo12boobo4boo18b7obobo$651b4o21b
oo7boboo97boboo3bobo15bo8boo3bobo$647bobo36bo86boo5boo4boboo3b3o14bobb
o10bobo$649b4o118bo7boo6bo5b3o7bo9bo$649b4o114bobb5o5bobo4boo4bobo6bob
o3bo5boo$475bo174boo3boo30bo74boobbobo4bobo4b3o4boobboo9boo3bo5b3o$
474bo180bobo6bo21bo75bobobo4bo8boo6bobo15boo6bo496bo$474b3o178bo8bobo
20bo74bo3bo15bobo3boo3bo7bo7bobboo495boo$658bo5boo102booboo15b4o8b3ob
oobooboboo496boo$514bo143boo20bo84bo18bobo13booboo4boo$512boo144boo19b
5o81booboo16b4o12b3o$513boo52bo89boo20bobboo102b4o$566boo85booboo23boo
bo102boo4b3o$560bo5bobo12bo71bo4bo134bobb3o$559boo21bo70bob4o25bobo
107bobo$559bobo3boobobo9b3o74boo140bo249bo75bo$563bo7boo84boo27b3o108b
o250bo74boo$562bo4bo5boo82boo28b3o109bobo43boo38boo38boo38boo38boo38b
oob3o73boo413bobo$562bobbobb6o85bo24b6o102boobo6bo41bobo37bobo37bobo
37bobo37bobo30boo5bobo492boo$610b3o45boo131boo3bobbobbo43bo39bo39bo39b
o39bo30boo7bo493bo$610bobb3o42bo28bo97b3o4bobbobbo3bo$575b3o33bobo45bo
27bo18boo77bo6bobbobbo3bo$575bobboo36bo70bo18bobo79bo3bo6bobo$574boob
oo35bo92boo76bobbo8boo$569boo45bobo62b3o3boo97bobbo6b3o$568boo4bobo32b
oobo6bo61bo105bo5bo3bo6boo$570bobboboo31boo3bobbobbo62bobboo102boboboo
bo6boo3bo653bo$572boo13boo13b3o4bobbobbo3bo65booboo101boo12boboo652bo$
572boo4bo7boo14bo6bobbobbo3bo60bo4bo109bo11b3o651b3o$573bo4b3o6bobbo
14bo3bo6bobo9boo49b4oboo121bo$579boo6boobo11bobbo8boo11boo50bo112bobbo
13b3o$581boobobboo3bo10bobbo6b3o5boo5bo51boo3bo116boobo4boo$582bobo19b
o5bo3bo5boo5boo50b6o117boboo3bobo$582bobbo4bobobo11boboboobo8bo4bobobb
oo36boo6boo116boo4boboo3b3o$577bo3b3o10bo13boo14boo3boob4o34bobo3boobb
o114boo6bo5b3o$576boo16bobo15bo11boo10bo33bo5b3o117bobo4boo4bobo254bo
159bo$576bobobo55bo36bo122b3o4boobboo256bobo158bobo$581boo13bobo10bobb
o17bo42boo121boo6bobo257bobbo158boo$576bobo53boo164bobo3boo3bo247boo6b
oo$575boobo19b3o203b4o249boo$576bo22b3o7boo189bobo$575bo20b6o8boo114b
oo74b4o$574b3o32bo116bobo73b4o$570bobbo3boo20bo127boo74boo$565b3ob3obb
5o20bo$475bo89bo5bobbobo22bo$474bo91bo3bo4bo32b3o38boo660bo$474b3o91b
oobobbo18b3o3boo7b3o4boo31boo659boo$569bobo21bo21b3o32bo659boo$514bo
54bobo22bobboo14bobo36boo$512boo83booboo12boo35bo$513boo77bo4bo14boboo
$591b4oboo13boobo35bobbo$591bo57boo76boo$592boo3bo50bo78bobo$591b6o13b
o3bo10boo17boobbobo69boo5bo358bo38bo$582boo6boo19bobbo10bobo16bobobbo
70bobo3boobbo354bobo35boo$530boo50bobo3boobbo18booboo9bo14bo3bobo73bo
11bo351bobbo36boo413bobo$530bobo49bo5b3o21bobo11boo11boo4boo76bo3boo3b
3o342boo6boo452boo$501bo21boo5bo54bo27bo12bobbo9bobo3boo76boo4boo4bo
341boo461bo$500boo21bobo3boobbo51boo17boo20bo17b3o82b7o$500bobo20bo11b
o67boo3bo19bobob3o7bo3bo83b4o12boo$526bo3boo3b3o67boboo27bo4boobbo91bo
8bobo$502b3o21boo4boo4bo68b3o20bo9bo95b4o7boo49bo$501b3o28b7o68bo23b4o
boob4o97bo56boo$503bobo27b4o72b3o29boo92b6o56bobo$505b3o94boobo4boo
117b3o3boboo723bo$505b3o94boboo3bobo117bo5bobo62boo659bo$508bo22bo64b
oo4boboo3b3o118bobbooboo62boo659b3o$505bobbo22boo62boo6bo5b3o120bo14b
3o$504bo3bo21bobo63bobo4boo4bobo123bo3bo7bo50boo$500booboo3bo87b3o4boo
bboo124boo4bobo8bo46bobbo$499boo7bo87boo6bobo132bo7bo4bo43boobo$501bob
oobbo90bobo3boo3bo131b3o4b3o22b3o16b3o$507bo96b4o135boboo5bobo18bo18bo
$504bobo30boo61bobo142bo8bo21bo11boo3bo312bo119bo$505bo31bobo62b4o24b
oo105boo3b3o10bo17bobbo10boo5boboo307bobo118bobo$504bo32bo64b4o24bobo
104bobobboo12bo17bobbo11bo5b3o306bobbo118boo$503bobo34bo62boo26boo104b
o4bo13bobo16bo15bob4o300boo6boo$503bobo34boo198bobo34bobobboo6bobboo
302boo$502bo37boo194boo13bo6boo19boobobbo3boo$502boo35boo27bo167boo12b
5o4bobbo5b3oboo11bobob3o$502boo31booboo27boo168boo5boo4bo6boo6boo4b3o
11bobo$535bo4bo26bobo165bo8bobo11bo4bob3obo4bo5bobo$535bob4o194b4o5bo
5boboo6bobobo4bob3o$475bo63boo6b3o17boboboo154bobb3obo4bo5boo4bo4bobo
6b3o4boo$474bo64boo6bo19boobboo153boobbob4o3bo5bobbo6b3o7boob3o540bo$
474b3o62boo7bo17bobbobo154bobobobobbo9bo6booboo552boo$541bo8boo178b3o
bboo10bobobobbo555boo$540boo7boobbo175boobo$530bobo7bo7bo4bo11b3obobo
158boboo15bo4bo$531boo8bo3b4o16boobbo180b4o$531bo11boobboo9boob3o5bo
188boo$546bo3boo6bo3bo3boo189boo3bo$545boo11boboobobbo192boboo361bo$
545bo6boo207b3o359bobo$546bo6bo96boo109bo362bo$558b3o89bobo110b3o39bo
39bo39bo39bo39bo39bo39bo39bo453bobo$554boob4o19boo69boo103boobo4boo39b
oo38boo38boo38boo38boo38boo38boo38boo30boo420boo$554boo23boo175boboo3b
obo38bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo30boobboo417bo$555b
obbo22bo168boo4boboo3b3o355bobo$583boo164boo6bo5b3o356bo$555bobo24bo
167bobo4boo4bobo$550b3o197b3o4boobboo$550bobboo26bobbo165boo6bobo$551b
obobbo23boo170bobo3boo3bo4boobo$553boobo22bo178b4o6bo3bo689bo$554boo
19boobbobo172bobo11bo4bo687bo$554bo20bobobbo175b4o10boo689b3o$556boo
13bo3bobo178b4o12bobo$570boo4boo179boo$557bobo10bobo3boo189bo6boo$575b
3o13b3o172b5o4bobbo$559bobob3o7bo3bo13bobb3o163boo4bo6boo$567bo4boobbo
15bobo165bobo11bo369bo$561bo9bo25bo162bo5boboo6bobo364bobo80bo$562b4ob
oob4o21bo74boo89boo4bo4bobo369bo81bobo$572boo23bobo70bobo88bobbo6b3o
452boo$551bo38boobo6bo70boo88bo6booboo364boo$550b5o34boo3bobbobbo162bo
bobobbo366boobboo$550bobboo11boo15b3o4bobbobbo3bo540bobo$552boobo9boob
o14bo6bobbobbo3bo164bo4bo371bo$563boo21bo3bo6bobo166b4o$555bobo8bo16bo
bbo8boo$562bo3boo16bobbo6b3o$475bo72b3o6b3o3boo5b3o12bo5bo3bo$474bo68b
o4bobb3o4b3o11bo14boboboobo716bo$474b3o65boo5boob5ob3o9bobo16boo718boo
$542bobo3b3o4booboo10boo21bo716boo$554bobo$544b3o6bobbo33bobbo$543b3o
7bo$545bobob4obbo$547booboo$547b6o611bo$1163bobo$690boo472bo$554b3o
133bobo846bobo$554bo136boo464boo380boo$555bo601boobboo377bo$557boo602b
obo$558bo20boo581bo$578boo3bo$555bo24boboo12boo$552b4obo24b3o11bobo$
552bo4bo24bo14boo$553bo4boo24b3o875bo$555bobb3o24boo874bo$559boo24boo
874b3o$556booboo24boo$557boboo24boo$557bobo25boo$558boo26boo$587bo$
586bo597bo$581boo600bobo40bo$581bobobbobo121boo472bo41bobo$581bo3bobo
122bobo513boo$584boobbo122boo464boo$585bobo589boobboo$579boo3boo595bob
o$578boobob3o596bo$580bobo$616boo$577boo37bobo$475bo93b3o5boo3bobo32b
oo$474bo94bo6bobo732bo$474b3o93bo4boo732boo$572b4obo732boo$573boo5$
1204bo$1203bobo$730boo472bo$730bobo806bobo$731boo464boo340boo$1197boo
bboo337bo$1201bobo$1202bo$$636boo$636bobo$637boo$1462bo$1461bo$1461b3o
7$492boo730bo$491boo257boo471bo$462boo21boo5bo257bobo471bo$462bobo19b
oo5boo258boo464boo$462bo23bo4bobobboo719boobboo$463boo23boo3boob4o721b
obo$463bobbo21boo10bo721bo$463bo36bo$465bobo26bo161boo$469bo26boo158bo
bo$467bobbo4bo181boo$467bobbo3bo836bo$469b3obb3o832boo$465b3ob3o838boo
$461b3oboobb3o$461bo7boo$462bo6boo$465b5o$467boo$466boo$466boo$465bobo
302boo$464boo304bobo766bobo$464bobo304boo464boo300boo$463bo773boobboo
297bo$464boo775bobo$1242bo$$676boo$676bobo$677boo$1462bo$1461bo$1461b
3o8$790boo$490boo298bobo$489boo290boo8boo464boo$483boo5bo289boo475boo
bboo$482boo5boo283boo5bo479bobo$484bo4bobobboo277boo5boo480bo$486boo3b
oob4o277bo4bobobboo$486boo10bo197boo79boo3boob4o$498bo35boobo158bobo
78boo10bo$492bo41bo3bo158boo90bo$494boo3boo11bo21bo4bo243bo527bo$499b
4o7bobo23boo247boo3boo517boo$498bo4bo7boo25bobo249b4o57boo457boo$493bo
4bo4bo285bo4bo56bobo$492boo3boo34bo6boo242bo4bo4bo56bo$492bobo3bo33b5o
4bobbo238boo3boo64bo$496b5o10bo14boo4bo6boo242bobo3bo64boo$496b4o10boo
14bobo11bo246b5o10bo51boo$496boo5bo6bobo13bo5boboo6bobo7bo234b4o10boo
50boo$497bo3boo24boo4bo4bobo10boo234boo5bo6bobo48boo$504bo6boboo12bobb
o6b3o5bo5bobo234bo3boo16boo38boobbo$505b3ob4obobo10bo6booboo5boo249bo
6boboo4bobo15bo18bobb3o686bobo$506boboobbo3bo12bobobobbo7bobo3boobobo
240b3ob4obobo3boo14boo17boo429boo260boo$505bobboo6b3o29bo7boo239boboo
bbo3bo19bobo16bobo428boobboo257bo$500boo3bobo10bo12bo4bo10bo4bo5boo
236bobboo6b3o31b3o3bo433bobo$499boo3bobbo10b3o11b4o11bobbobb6o232boo3b
obo10bo19b3o9bo6bobbo430bo$501bo3bo14bo269boo3bobbo10b3o16b3o11bo4bo$
499boo3bo15b3o193boo74bo3bo14bo18bobo11boboo3bo$499boo20boo193bobo71b
oo3bo15b3o18b6o5b5o$521boo17bo176boo71boo12boobo4boo18b7obobo$500boo
19boo17boo262boboo3bobo24boo3bobo616bo$498bo22boo16bobo249boo5boo4bob
oo3b3o28bobo616bo$494bobb5o19boo266bo7boo6bo5b3o647b3o$489boobbobo4bob
o19boo261bobb5o5bobo4boo4bobo$489bobobo4bo24bo256boobbobo4bobo4b3o4boo
bboo$489bo3bo28bo50bo206bobobo4bo8boo6bobo$495booboo17boo53boo206bo3bo
15bobo3boo3bo$492bo24bobobbobo47bobo211booboo15b4o$492booboo20bo3bobo
12bo246bo18bobo$520boobbo10bobo37boo206booboo16b4o$521bobo11bobo37boo
227b4o$515boo3boo14bo268boo4b3o$514boobob3o19bo31boo236bobb3o480boo$
516bobo22bo30bobbo236bobo482boobboo$540bo30boobo242bo9boo8boo462bobo$
513boo33b3o16b3o245bo18boboboo462bo$505b3o5boo3bobo18b3o6bo18bo249bobo
6bobbobbobo5bo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo$
505bo6bobo23bobo10bo11boo3bo167boo72boobo6bo5boboobbob6o38bobo37bobo
37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo$506bo4boo28bo6b
obbo10boo5boboo163bobo70boo3bobbobbo7boobooboobbo41bo39bo39bo39bo39bo
39bo39bo39bo39bo39bo39bo$508b4obo14bo9boo9bobbo11bo5b3o164boo64b3o4bo
bbobbo3bo6boobb4o$509boo16b5o8boo8bo15bob4o231bo6bobbobbo3bo9boo3bo
479boo$527bobboo9bobo8bobobboo6bobboo236bo3bo6bobo10boobobo478bobbo$
529boobo10bo10boobobbo3boo237bobbo8boo13b3o481bobbo$540bobo17bobob3o
237bobbo6b3o14boo482boo$532bobo5boo18bobo242bo5bo3bo6boo8b4o$555bobo
249boboboobo6boo3bo6bo$525b3o6b3o272boo12boboo$520bo4bobb3o4b3o275bo
11b3o$519boo5boob5ob3o287bo$519bobo3b3o4booboo273bobbo13b3o$531bobo
286boobo4boo$521b3o6bobbo286boboo3bobo709bobo$520b3o7bo283boo4boboo3b
3o487boo220boo$522bobob4obbo280boo6bo5b3o487boobboo217bo$524booboo285b
obo4boo4bobo491bobo$524b6o284b3o4boobboo495bo$814boo6bobo$756boo58bobo
3boo3bo$756bobo63b4o$557boo198boo59bobo$557bobo260b4o511boo125bo$558b
oo260b4o510bobbo123bo$821boo511bobbo123b3o$1335boo9$1337boo$1337boobb
oo$1341bobo$1342bo$$776boo$776bobo$577boo198boo$577bobo775boo$578boo
774bobbo$1354bobbo$1355boo8$1539bobo$1357boo180boo$1357boobboo177bo$
1361bobo$1362bo$$796boo$796bobo$597boo198boo$597bobo775boo85bo$598boo
774bobbo83bo$1374bobbo83b3o$1375boo9$1377boo$1377boobboo$1381bobo$
1382bo$$816boo$816bobo$617boo198boo$617bobo775boo$618boo774bobbo$1394b
obbo$1395boo8$1539bobo$1397boo140boo$1397boobboo137bo$1401bobo$1402bo
$$836boo$836bobo$637boo198boo$637bobo775boo45bo$638boo774bobbo43bo$
1414bobbo43b3o$1415boo9$1417boo$1417boobboo$1421bobo$1422bo$$856boo$
856bobo$657boo198boo$657bobo775boo$658boo774bobbo$1434bobbo$1435boo8$
1539bobo$1437boo100boo$1437boobboo97bo$1441bobo$1442bo$$876boo$876bobo
$677boo198boo$677bobo775boo5bo$678boo774bobbo3bo$1454bobbo3b3o$1455boo
9$1457boo$1457boobboo$1461bobo$1462bo$$896boo$896bobo$697boo198boo$
697bobo$698boo6$1477bo$1476bobo$1477bo$$1539bobo$1477boo60boo$1477boo
bboo57bo$1481bobo$1482bo$$916boo$916bobo$717boo198boo$717bobo$718boo$$
910b3o$910bo$903b3o6bo$903bo6bobo$904bo4boob4o581bo$906b4ob5oboo577bob
o$907boo7boobo577bo$$920bo$920bo576boo$919bobboo57boo514boobboo$919bob
oobo55boo519bobo$913boo4boo61bo519bo$913bobobb3o63boo$913bo3bo18boo45b
o$916boo3bo9boo3bobo$737boo177bo4bo9bobo3boo43bobbo$737bobo183bo7bo49b
oo$738boo177boo4boo7b3o45bo$926boo4bob3o20boo17boobbobo$926b3obo4bo21b
obo16bobobbo$933boobbo19bo14bo3bobo$926bo3bo6bobo18boo11boo4boo$920b3o
bboobo29bobbo9bobo3boo$920bo4boo12bobo16bo17b3o538bo$922bobboo33bobob
3o7bo3bo537bobo$920bobo18bobo24bo4boobbo539bo$920boo12boobo6bo17bo9bo$
920bobo10boo3bobbobbo18b4oboob4o564bobo$738b3o186b3o4bobbobbo3bo28boo
542boo20boo$738bo179boo7bo6bobbobbo3bo572boobboo17bo$731b3o6bo174bobb
ooboo7bo3bo6bobo577bobo$731bo6bobo169booboo3bobbo5bobbo8boo18bo562bo$
732bo4boob4o165boo3bo13bobbo6b3o18bobo$734b4ob5oboo164bobobobb3o8bo5bo
3bo21boo$735boo7boobo183boboboobo$757boo154b3obbo14boo19bo$748bo8bobo
153boo22bo14boobbo$748bo9boo182bo9boo3bo4boo$747bobboo57boo123bobbo3b
5o7bobo5bo$747boboobo55boo131bobboo7b3o3bobbobbo$741boo4boo61bo132boob
o6bo6b3oboo$741bobobb3o63boo143bobboobbobo$741bo3bo65bo134bobo9bo4b3o$
744boo3bo9boo198b3oboo36boo38boo38boo38boo38boo38boo38boo38boo38boo38b
oo38boo38boo38boo38boo14bo$744bo4bo9bobo48bobbo125b3o6b3o12bo38boo38b
oo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo12bobo$
751bo7bo49boo123bo4bobb3o4b3o49bo39bo39bo39bo39bo39bo39bo39bo39bo39bo
39bo39bo39bo39bo15bo$745boo4boo7b3o45bo124boo5boob5ob3o$754boo4bob3o
20boo17boobbobo122bobo3b3o4booboo$754b3obo4bo21bobo16bobobbo135bobo
589boo$761boobbo19bo14bo3bobo128b3o6bobbo589boobboo$754bo3bo6bobo18boo
11boo4boo127b3o7bo596bobo$748b3obboobo29bobbo9bobo3boo129bobob4obbo4b
3o588bo$748bo4boo12bobo16bo17b3o131booboo8bobb3o$750bobboo33bobob3o7bo
3bo131b6o8bobo$748bobo18bobo9boo13bo4boobbo151bo$748boo12boobo6bo5boo
10bo9bo154bo596boo$748bobo10boo3bobbobbo8boboo6b4oboob4o154bobo591bobb
o$755b3o4bobbobbo3bo3boobo3boo16boo147boobo6bo590bobo$746boo7bo6bobbo
bbo3bo3boo3boboo164boo3bobbobbo591bo$743bobbooboo7bo3bo6bobo4boobo163b
3o4bobbobbo3bo$738booboo3bobbo5bobbo8boo12boo160bo6bobbobbo3bo$737boo
3bo13bobbo6b3o9boo166bo3bo6bobo$739bobobobb3o8bo5bo3bo175bobbo8boo$
759boboboobo177bobbo6b3o600bo$741b3obbo14boo182bo5bo3bo600bobo$741boo
22bo181boboboobo602bo$770bo178boo$762bobbo3b5o179bo$769bobboo783boo$
771boobo175bobbo603boobboo$1561bobo$774bobo785bo$815boo38boo38boo38boo
38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo
38boo$767b3o6b3o37boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38b
oo38boo38boo38boo38boo38boo38boo38boo38boo$762bo4bobb3o4b3o35bo39bo39b
o39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo$761b
oo5boob5ob3o$761bobo3b3o4booboo$773bobo$763b3o6bobbo794boo$762b3o7bo
796bobbo$764bobob4obbo4b3o788boo$766booboo8bobb3o$766b6o8bobo$785bo
791bo$783bo792bobo$785bobo789bo$778boobo6bo$777boo3bobbobbo$771b3o4bo
bbobbo3bo788boo$771bo6bobbobbo3bo788boobboo$774bo3bo6bobo793bobo$771bo
bbo8boo797bo$772bobbo6b3o$773bo5bo3bo$775boboboobo$777boo$781bo$$778bo
bbo808boo$1589bobbo$1590boo3$1597bo$1596bobo$1597bo3$1597boo$1597boobb
oo$1601bobo$1602bo7$1610boo$1609bobbo$1610boo3$1617bo$1616bobo$1617bo
3$1617boo$1617boobboo$1621bobo$1622bo7$1630boo$1629bobbo$1630boo3$
1637bo$1636bobo$1637bo3$1637boo$1637boobboo$1641bobo$1642bo20boo$1651b
3o9bobo$1651bobb3o6bo9bo$1652bobo16boobo$1657bo4boobbo3boobbo$1655bo6b
oobboboobbo$1657boboobo3b5o$1650boo14boo$1498bo150bobbo5bobb6o$1497boo
151boo7b7o26b3o$1497bobo161b3o28bobb3o$1499bo193bobo$1500bo156bo40bo$
1497boboo155bobo37bo$1498bo158bo40bobo$1691boobo6bo$1499boo189boo3bobb
obbo$1499boo156boo25b3o4bobbobbo3bo$1499bo157boobboo21bo6bobbobbo3bo$
1500boo159bobo23bo3bo6bobo$1662bo21bobbo8boo$1500b3o10boo6b3o161bobbo
6b3o$1500bobbo8boo6bobboobo159bo5bo3bo$1501bo12bo4bo3b7o158boboboobo$
1503boo12boboobbo6bo159boo8bo10boo$1505bo9boobb3oboo169bo4b5o6boo$
1498bo7boo13boboobbobo169bobboo8bo7boo$1497boo19boboo148boo19bobbo6boo
bo5boo6b3obo$1497bobo7bo5b3obooboo15boo8boo120bobbo37boo3boboo$1507boo
3bobbo5bo8b3o3boo9b3o120boo32bobo6boo$1500boo7boboobo3bo3bo7bo7bo4b3o
4bo54bo103b3obo4bo$1500boo4bobbobb4o5b3o8bo10boo3bobo53boo100b3o3bo4bo
$1507boo3bob3o3boo8bobo7bobobo3bo55bobo70bo29bo7bo$1496boboo6bo6bobbob
o3bo4bobboo3b8obbo130bobo28bo6bo$1495b4o7bobobbobo9b4obo4bo4boobobobo
61boo68bo$1495bo3boo8boo25bo70boo101bo$1500bobbo3bo24bobobo$1508boo88b
o6boo70boo$1499boo3bo4bo87boo5bobbo69boobboo$1499boo3bob4obboobo81bobo
3boobo74bobo$1500bo5bobobo4bo85bo80bo$1500bo5bo4bo4bo83bo$1501boo6bo4b
4o82bobboo$1511bo6bo86bo$1509b3obbo3bo85bobo$1503bo3boobbobbo90boo$
1494b3o4boobboo3boo4boo53b3o32bobo$1494bo5bobo3bo4b5o55bo36boo80boo$
1495bo4b3o3bob4obbo5bo51bo18boo12b5o79bobbo$1497bo8bo5bo5bobo30b3o20b
oo15bobo10boboo82boo$1496b3o5b3o3boo7boo30bobb3o5boo5boo4bo8bo6bo10boo
boo$1501b4o4b3o40bobo7b3o3boo12b4o8bo4bobbobboo$1495bobbobb4o3b3o13bo
32bobbo3boo4b3o8boo3b4o4b5obobobo92bo$1493bo9booboobo12bobo26bo3bobbob
obb4obo3boo6b3oboo5bobb5obboo10boo7bo73bobo$1492booboobo7booboboo10boo
25boo5boo5bo8bo4boo4bobob4obboobo15bobo5boo74bo$1492bob5o5bo4bobbo37bo
bo8bo16b3o5b3o4b3o6bo10bo7bobo$1490boboboo7b7o18bo25bobboobbobo17boo4b
obo3boobo3b5o6boo$1489b4o3bo5bob4o18bobo25bobb3o3boobb3o4bobbobb4obboo
5bobbo3boo3bo4boo12boo71boo$1489bobb3obbo3boo6bo17boo25b3obo3boo3bo3b
oob4o4boobboo5bobbo6bo3boo8bo5b3o71boobboo$1490boobo10boo3bo39bo5boobb
4obo3booboo6boo12bobboobobbobbobb3obo3boo5bo77bobo$1495b3o3boo5bo3bo
19bo15boo3boo3bobboobobobbo3b5o4b3oboobbo5boo3boobbo7bobbobo83bo$1489b
oo4bo3b3o4bobob4o16bobo10boo3bobobo3b3obobo3bo6bobob3obboobboob3o5boo
10bo3bo7b3o$1489boo3bo3bo7bobobb3o17boo9boo11bo6boobo4bobboobb3o3bobb
oobo8bo7boo4bo6b5o$1500b3o41bobbobboo10bo7boo7bo18boo9b3o6b3o$1491bo3b
oobo4bo10bo21bo9boo3boboo8boo54bo$1491bo6bo4b3obb3obb3o18bobo13bo6b3o
23bo31boo$1490bo16bobobb4o19boo8boobboboo4boo9boo5bo6boo27b3ob3o$1487b
ooboo10bobbobo3boo33bo7boob7o3boo5boo6bobo26booboboo92boo$1487bobbo10b
o3boboboo29bo6boobooboo3bo6boboo5bobo9bo122bobbo$1487bo10b4o7boobbobob
3o18bobo6boobb3o11bobbo17bo108b3o12boo$1489bo8bo9b3obb5o21boo6bo7bo4bo
3b3obobo6bo6bobbo107bo$1488bo15bo14bo35bo6bo4boobbobb7obbo114bo$1487bo
15bo6bobbobbo17bo9bo3bo15bo4b3obboo4bobbobbo108bobbo18bo$1498b7o6boo5b
oo13boo7bobo5b3o11bo8bob3o3bo114bobbo16bobo$1482b3o4boo6bobo12boboo17b
obo7boo29b4o5bo113bo19bo$1482bobb4obbo4booboo10bo62boo7bo115bobo$1485b
3o8bob3o7bo6bobo18boo10bobboo148boo$1479bobo11b3obboo7b5o6bo17boobb3o
5bo153bo14boo$1478booboobbo7bo12boobobo6bo21boobobb3o152boo14boobboo
102b3o$1478bob5o20boo6bo3boo19bo4bo16boo138b3o18bobo103bo$1480bo11b3o
11bo3b3o24b3o4bo19boo129boobooboo19bo103bo$1479bo3boo9bo9b3obo10bo17bo
5bo18boobo129bo3boboo$1479b4o9bobo9boo3boo5bo7boo12bobobboo17bobbo129b
ob3obbo$1481boo9bobo9bo4boo5b3o4boo37bobo135boo$1492bobo8boo4boo3bobo
8bo9b3o15boo8bo135b3o8boo$1493boo11boobboob3o11boo6booboo3boo7bo19boob
o133b3o$1493bo10bo4boo3booboo8boobboobbob3o3bobb3o3b3o18bobboo14boobo
7b3o102b4obo$1505b3o6boo14boobobboo5bob5obobo19bobboobboobbo7bo3bo6bo
94b3o5boo6boo14boo$1506boobbo3bo3bo12bo4boo6bo6boo21bo10bo6bo4bo7bo7b
oo83b3o5boo5boo14bobbo$1509bo8bo9boo3bo10bo5b3o27bo3bo9boo7bobo4boobo
92bobobboboo7boo6boo$1508bo3boo14boo14bobbobbo23bo5b4o12bobo4b3obobboo
85boo7b5obbo7boobo$1512boo14bo18b4o23bobo25bo3boobboo85bo8boo3bobboo5b
o$1508bo3boobbo12booboo3boobobbo7bobbo21bo21boob4oboo98b3obo3bo4boobo
14bo$1507boob3o3boo13bobo3boboobboobo3bobbobo16bo3bo22b7o101bo3boob4ob
3obo12bobo$1516boo19boboo3bo5bobbobo16bobo138bob3o19bo$1502b3o6bobb3o
21bo4bo5boo160boo4bo3bo$1502bobboo4bobboo22boo3bo3bobo165bo7bo$1503bo
bbo8bo13boobbo4boo6bob3o171b3o12boo$1505bobbo19boo4bobboo6b4o164bobo5b
o15boobboo$1506boo22boobobb3o7boo3boo33boo125boo5boo4bo14bobo$1532boo
bbo9bobo36bobbo124bobo3bo6boo14bo$1539bo6bobobboobo30bobo122boobobobbo
bobo3boo$1536bobbo3boo6boobo31bo122booboob3obbo$1537bo4boo9bo28boo10b
oo4b3o108boboobobbo$1538bo5bo8bobo26boo10boo4b3o114bobo$1549boobbobo
38boo125bo$1549bo170bobo$1549bo43bo156boo$1551b3o17b3o175bobbo$1551b6o
14bo9boo11bo155boo$1551bo20bo6b3obo$1551boo3bo17boobboo199boo$1551boo
bbo19bo181bo20boo$1552b3obb3o19bo31bo144bobo13boo5bo$1554bo4bobo13boo
3bo10boo14bo3boo144bo13boo5boo$1554b4obobo12boboboo11boo13b3obb3o159bo
4bobobboo$1554b4obobo12bobobboboo24bo3boo162boo3boob4o$1557bo15bo4boo
31bo145boo16boo10bo$1573boo35bo146boobboo24bo$1573boo34boo150bobo17bo$
1607bobo152bo20boo$1607boo$1642boo38boo38boo38boo$1641bobo37bobo37bobo
37bobo$1643bo39bo39bo39bo7$1603bo12bo$1602boo11bobo$1602bobo10bo$1616b
5o$1604b3o9bobb3o$1603b3o14boo$1605bobo10boobo$1607b3o9boboo$1607b3o
12boboo$1610bo11boboo$1607bobbo13boo$1606bo3bo$1602booboo3bo$1601boo7b
o$1603boboobbo$1609bo$1606bobo$1607bo$1606bo$1605bobo$1605bobo$1604bo$
1604boo$1604boo!

This is all fine and dandy, but here is the flaw:

The ignition rake at the bottom cannot have a lower period than the input rake at the top. This means unlike the previous period multiplication convoy, this one cannot be effectively cascaded.

The reason for this is that the glider crawling up the fuse isn't advanced enough by consuming one unit of the fuse to clear the next ignition glider coming in. Only by consuming two units of the fuse can the glider escape, and for this to happen the lower rake's period cannot be less than the upper rake's period.

It's pretty unfortunate, but not a total waste.

There might be another fuse using only four still lives which is just a little bit better. I found that the two-way ignition property can be done using several still lives, such as beehives, tubs, and boats.

EDIT:

I thought of something which might help the newest convoys after all.

The output glider from the second alternative convoy above can be adjusted so as to impact the end of the fuse again and reignite it. So the convoy becomes its own ignition rake and so should be cascade-able after all.

I made a high period spaceship this way, but since an extra glider was available in the adjustment convoys I just removed a glider eater to make a rake. It's luck that it escapes through a gap in the fuse. I don't know if that will always be the case, but a bit of rearrangements of the convoys might avoid any problem anyway since one shifts the diagonal alignment upwards and the other shifts it downwards.

Code: Select all

#C A diagonal c/4 period 12560 (157 * 80) sideways rake.
#C This uses a period 80 rake as input to a convoy which burns a
#C fuse that it builds repeatedly and then ignites using its own
#C output gliders.
#C David I. Bell, 28 March 2024
x = 2370, y = 2065
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
obo$25bo3boobbobbo90boo$16b3o4boobboo3boo4boo53b3o32bobo$16bo5bobo3bo
4b5o55bo36boo$17bo4b3o3bob4obbo5bo51bo18boo12b5o$19bo8bo5bo5bobo30b3o
20boo15bobo10boboo$18b3o5b3o3boo7boo30bobb3o5boo5boo4bo8bo6bo10booboo$
23b4o4b3o40bobo7b3o3boo12b4o8bo4bobbobboo$17bobbobb4o3b3o13bo32bobbo3b
oo4b3o8boo3b4o4b5obobobo$15bo9booboobo12bobo26bo3bobbobobb4obo3boo6b3o
boo5bobb5obboo10boo7bo$14booboobo7booboboo10boo25boo5boo5bo8bo4boo4bob
ob4obboobo15bobo5boo$14bob5o5bo4bobbo37bobo8bo16b3o5b3o4b3o6bo10bo7bob
o$12boboboo7b7o18bo25bobboobbobo17boo4bobo3boobo3b5o6boo$11b4o3bo5bob
4o18bobo25bobb3o3boobb3o4bobbobb4obboo5bobbo3boo3bo4boo12boo$11bobb3o
bbo3boo6bo17boo25b3obo3boo3bo3boob4o4boobboo5bobbo6bo3boo8bo5b3o$12boo
bo10boo3bo39bo5boobb4obo3booboo6boo12bobboobobbobbobb3obo3boo5bo$17b3o
3boo5bo3bo19bo15boo3boo3bobboobobobbo3b5o4b3oboobbo5boo3boobbo7bobbobo
$11boo4bo3b3o4bobob4o16bobo10boo3bobobo3b3obobo3bo6bobob3obboobboob3o
5boo10bo3bo7b3o$11boo3bo3bo7bobobb3o17boo9boo11bo6boobo4bobboobb3o3bo
bboobo8bo7boo4bo6b5o$22b3o41bobbobboo10bo7boo7bo18boo9b3o6b3o$13bo3boo
bo4bo10bo21bo9boo3boboo8boo54bo$13bo6bo4b3obb3obb3o18bobo13bo6b3o23bo
31boo$12bo16bobobb4o19boo8boobboboo4boo9boo5bo6boo27b3ob3o$9booboo10bo
bbobo3boo33bo7boob7o3boo5boo6bobo26booboboo$9bobbo10bo3boboboo29bo6boo
booboo3bo6boboo5bobo9bo$9bo10b4o7boobbobob3o18bobo6boobb3o11bobbo17bo$
11bo8bo9b3obb5o21boo6bo7bo4bo3b3obobo6bo6bobbo$10bo15bo14bo35bo6bo4boo
bbobb7obbo$9bo15bo6bobbobbo17bo9bo3bo15bo4b3obboo4bobbobbo$20b7o6boo5b
oo13boo7bobo5b3o11bo8bob3o3bo$4b3o4boo6bobo12boboo17bobo7boo29b4o5bo$
4bobb4obbo4booboo10bo40boo20boo7bo$7b3o8bob3o7bo6bobo18boo10boobboo5b
oo$bobo11b3obboo7b5o6bo17boobb3o7bo8boo$ooboobbo7bo12boobobo6bo21boobo
bbo12boo$ob5o20boo6bo3boo19bo4bo7bo$bbo11b3o11bo3b3o24b3o4bo3bobbo$bo
3boo9bo9b3obo10bo17bo5bo5boo$b4o9bobo9boo3boo5bo7boo12bobobboo31bo$3b
oo9bobo9bo4boo5b3o4boo48bo3bo$14bobo8boo4boo3bobo8bo9b3o15boo21bo$15b
oo11boobboob3o11boo6booboo3boo7bo$15bo10bo4boo3booboo8boobboobbob3o3bo
bb3o3b3o18boo17boobo7b3o$27b3o6boo14boobobboo5bob5obobo19bobo16bo3bo6b
o$28boobbo3bo3bo12bo4boo6bo6boo21b3o15bo4bo7bo7boo$31bo8bo9boo3bo10bo
5b3o15boo4bobbo16boo7bobo4boobo$30bo3boo14boo14bobbobbo17boo5b3o18bobo
4b3obobboo$34boo14bo18b4o25bobobboo19bo3boobboo$30bo3boobbo12booboo3b
oobobbo7bobbo22boobobbo14boob4oboo$29boob3o3boo13bobo3boboobboobo3bobb
obo20bobbobobbo14b7o$38boo19boboo3bo5bobbobo21boo4boo$24b3o6bobb3o21bo
4bo5boo$24bobboo4bobboo22boo3bo3bobo$25bobbo8bo13boobbo4boo6bob3o29boo
$27bobbo19boo4bobboo6b4o31bo8bo$28boo22boobobb3o7boo3boo27bobb4o3boo$
54boobbo9bobo36bobbobbo$61bo6bobobboobo27boobo5bo$58bobbo3boo6boobo29b
oobbobo$59bo4boo9bo32booboo$60bo5bo8bobo31b3o$71boobbobo32bo3boo$71bo
41bobbo$71bo41bobo$73b3o17b3o18bo$73b6o14bo9boo5boo87boo46boo$73bo20bo
6b3obo4boo75b3o9bobo33b3o9bobo$73boo3bo17boobboo85bobb3o6bo9bo25bobb3o
6bo9bo$73boobbo19bo90bobo16boobo25bobo16boobo$74b3obb3o19bo91bo4boobbo
3boobbo10bo19bo4boobbo3boobbo$76bo4bobo13boo3bo88bo6boobboboobbo11boo
17bo6boobboboobbo$76b4obobo12boboboo91boboobo3b5o13bobo18boboobo3b5o$
76b4obobo12bobobboboo97boo46boo$79bo15bo4boo92bobb6o20boo17bobb6o$95b
oo31boo65b7o21boobb3o13b7o$95boo30boobo3boo61b3o27boobo14b3o$119boo5b
oo6bobo88bo4bo$119boo4b3o96b3o4bo$126bobo47boo46bo5bo17boo$127boo7bob
oo35bobo33boo12bobobboo8bo6boobobo$128bo6b4obo36bo32boo27boo5boo4bo$
134b3o3bo71bo9b3o14bobo7bo3bo$139bo74boo6booboo20boobo$142bo71boobboo
bbob3o15boo3b3o$137bo3bo75boobobboo17boo3b3o$136b5o77bo4boo23boo$136bo
bbo75boo3bo6b3o14b3o3bobo$125bo9bobo77boo10bo9boo4b5o3bo$124boo9bobo
50bo26bo12bo6b3obobbobb3o$124bobo9bo50boo27booboo9boobboo6boo4bo$187bo
bo28bobo10bo11bo4boboo3bo$126b3o106bobbo5bo9boo$125b3o62boo34bo4boo6bo
bobbobbo6bobo4boo$127bobo60boo25bo7boo3boboboboo3b5o14boo22bo$129b3o
65bo18bobo6bobobobbobo11bo7bobo4bo7boo3boob3o3boo5boo$129b3o54boboo6bo
18bobbo11bo4bobbooboo3bo6b3o4bobo6bobobbob4o3bobo3boo$132bo52b4o7b3o
17boo11bo4bobobboo5boboo3bobo3bobbo5bobbobbo4bobobo7bo$129bobbo52bo3b
oo37bobobo4boobobo6bo3boboobbob3o4boo5bo7b3o16b4o$128bo3bo57bobbo34bob
3o5boboboboo3booboob3o3boboobo6bo4bobboo9boo7bo5bo$124booboo3bo95bo9bo
bbo3bo5bobobbo5bobobo3bobbobob3oboobbobboo5bo4bo6bo$123boo7bo56boo3bo
15bo20b4o8bo3bo4boboo3bo3bo5bo3boob3obbo5bobbobobobooboobo3boo$125bob
oobbo57boo3bo14boo18bo3boo5bobb3obo5boo3b3obboo3boo3boo6bo3bo4bo3b5obb
obbo10boo$131bo58bo12bo5bobo18bo3b3o3bob3o3bo7b3o8boob5o7boob5ob5obo3b
oboobo8bobo$128bobo59bo11boo26boboobboo5bo11b3obobbobo4boboo14bo3boo5b
obo3boobo7bobo$129bo61boo9bobo3boobobo24boo4boboo5boboo3bo23bobbo12b3o
3boobo3bo$128bo77bo7boo17b5obo12b3o6bobbo19bo3bo3bo11boobbo3b4obo$127b
obo75bo4bo5boo17boo15bobo8boo22bo4bo7bo4bo3bobo5bo$127bobo75bobbobb6o
84bobboo3bo3b3o$126bo129b3o$126boo128bobb3o45bobo5boo$126boo90b3o36bob
o46bo8boobo$218bobboo39bo43boo6bobbo$217booboo38bo51boob5o$212boo48bob
o38boobboo3booboobboo$211boo4bobo16bo18boobo6bo37bobb3obbo$213bobboboo
15bobo16boo3bobbobbo37bobo4b3o103bo47bo$215boo13boo3bobbo9b3o4bobbobbo
3bo44boo92boo9boo35boo9boo$215boo4bo7boo5boo10bo6bobbobbo3bo48boo87boo
3bo6bobo33boo3bo6bobo$216bo4b3o6bobbo17bo3bo6bobo48bo91boboo15b3o26bob
oo15b3o$222boo6boobo14bobbo8boo52boo91b3o5bobo4booboo28b3o5bobo4booboo
$224boobobboo3bo13bobbo6b3o145bo6boobobobo14b3o16bo6boobobobo$225bobo
22bo5bo3bo148b3obo6boboo12bo20b3obo6boboo$225bobbo4bobobo14boboboobo
150boo7bo17bo20boo7bo$220bo3b3o10bo16boo154boo5boo20boo17boo5boo$219b
oo16bobo18bo153b5o23bo3boo14b5o$219bobobo219boo$224boo13bobo13bobbo
187boo$219bobo218b6o$218boobo10b3o6b3o24bo39bo39bo39bo51bobboobo17boo$
219bo7bo4bobb3o4b3o23boo38boo38boo38boo37boo13bo4bo15bobbo$218bo7boo5b
oob5ob3o22bobo37bobo37bobo37bobo37bobo10bo6bo7b3o4bo3b4o$217b3o6bobo3b
3o4booboo183bo11bo15bo6bobboo$213bobbo3boo16bobo189bo7boo3bo12bo9bobbo
$208b3ob3obb5o6b3o6bobbo189boobboobobb3o15boo3boo4bo$208bo5bobbobo7b3o
7bo196bo5bo18bo3boo$209bo3bo4bo10bobob4obbo194bobo3bo25bobo$211boobobb
o13booboo20bo175boboo3bo4boo15b3obbobo$212bobo16b6o18bobo173booboo7boo
9bo4boo6bo$212bobo40bobbo172bobbo10bo6boobobbo5bo$245b3o8boo145b3o27bo
bo11boobboobbobboob3o3bo$245bo157bo10bo13bo4bobboo9b4obbo6b4o3bo$238b
3o6bo156bo7boo15boo18b3o9boobobo3b3o$238bo6bobo158boo5boo13boo24boobo
12bo6boo$239bo4boob4o156bo33b3obb3ob6ob3oboo9bo4bobo$241b4ob5oboo187bo
4b3oboo4bo3bo9bobo4bo8bo4bo7b3o4boo$242boo7boobo149bo37bo3bo7boob5obbo
5boo6bo6boo3b7obo7bobo$293boo106b4obo45bobbo3boboobbo3bo5boobo6bobobbo
10bo4bo$255bo36boo3bo103bo4bo37boo3b5o5bobo3bo3bobobbo3boo5boo5boo4bob
o$255bo38boboo104bo4boo35b3ob5obbobo3b5oboobboo10bobboobbo5bo3bo8bo7b
6o$254bobboo37b3o105bobb3o37bo3bobo3bo4boo5bobbo3booboboo3bobobob3o3b
4o3boboobobo4boob4o$254boboobo36bo111boo34bobb4o4boboo9boboo7bo15bobb
oo3boob3o3bo3bobboobo$248boo4boo42b3o104booboo46b4obobo5bo5b3obo4boo4b
oo5bobbooboo5b3obboo3bo11bo$248bobobb3o35boobo4boo105boboo35b3o3bo8bob
oo9boo4bo4bo3boo8b4obbobb3o4b3o3bobo8boo$248bo3bo38boboo3bobo105bobo
40booboobbo4boobo6boo3bob3o3boboo18bo7b3obbobobobo5bobo$251boo3bo9boo
17boo4boboo3b3o37boobo7b3o15boo38boo40boo3bo4boobo8bo4bobo21b4o19bobo
6bo$251bo4bo9bobo15boo6bo5b3o37bo3bo6bo16boo82boobobbo11b3o6b4o20b3o5b
o6bob3o3bo3b6o$258bo7bo9bo8bobo4boo4bobo37bo4bo7bo7boo7bo83bo3bo11bo
10bo23bo3boo8b3ob3o5bo3bo$252boo4boo7b3o5bobo7b3o4boobboo42boo7bobo4b
oobo10boo97bo47bo3boboobobob3o$261boo4bob3o3bobbo6boo6bobo46bobo4b3obo
bboo11bo5bo147boo7boo$261b3obo4bo5boo9bobo3boo3bo49bo3boobboo15boobo
146b3o6bobo$268boobbo20b4o47boob4oboo20bo3bo152bo$261bo3bo6bobo14bobo
53b7o18boobb3o145boo6bobboo$255b3obboobo27b4o75boobo76bo71boo5boboo3bo
$255bo4boo12bobo14b4o63bo13bo3bo72bobo68boobobobboo5bo$257bobboo30boo
63boo11boo5boo70bobbo66boobo4bo3bo4bo$255bobo18bobo78bobo10b3o77boo67b
o3bobboo$255boo12boobo6bo81bo7boboo147bo6bo$255bobo10boo3bobbobbo31b3o
46bo3booboobobbo156boo$262b3o4bobbobbo3bo33bo33bo5bo6bo3boob3o160bo$
253boo7bo6bobbobbo3bo32bo34bobobobo12boboo160boo$250bobbooboo7bo3bo6bo
bo68boo3boo8bobbo4bo$245booboo3bobbo5bobbo8boo86b3o$244boo3bo13bobbo6b
3o85bobbo$246bobobobb3o8bo5bo3bo87bobobo$266boboboobo93bo$248b3obbo14b
oo93bo3bo$248boo22bo$282boo54boo$269bobbo8boo13bo40boo$275boo5bo12bobo
41bo$274boo5boo12bobbo42boo$276bo4bobobboo8boo42bo$278boo3boob4o180bo$
278boo10bo48bobbo126bobo$290bo45boobo129bobbo$284bo50boo4bo128boo$286b
oo3boo44bobobbo$291b4o47bo$290bo4bo43bobbo$285bo4bo4bo44bobo$284boo3b
oo23boobo7b3o12bobo$284bobo3bo23bo3bo6bo15boo123boo$288b5o10bo10bo4bo
7bo7boo4bo36bo86boo$288b4o10boo12boo7bobo4boobo41bobo79boo5bo$288boo5b
o6bobo13bobo4b3obobboo42bobbo78boo5boo$289bo3boo29bo3boobboo43boo81bo
4bobobboo$296bo6boboo13boob4oboo132boo3boob4o$297b3ob4obobo12b7o134boo
10bo$298boboobbo3bo7bo157bo38boobo$297bobboo6b3o4bobo150bo44bo3bo$292b
oo3bobo10bo4bobbo151boo3boo36bo4bo$291boo3bobbo10b3o3boo157b4o36boo$
293bo3bo14bo161bo4bo10bo26bobo$291boo3bo15b3o154bo4bo4bo9bobo$291boo
12boobo4boo153boo3boo14bobbo19bo6boo$305boboo3bobo153bobo3bo15boo19b5o
4bobbo$292boo5boo4boboo3b3o157b5o10bo17boo4bo6boo877bo10boo$290bo7boo
6bo5b3o157b4o10boo17bobo11bo876b5o6boo$286bobb5o5bobo4boo4bobo157boo5b
o6bobo16bo5boboo6bobo872bobboo8bo7boo$281boobbobo4bobo4b3o4boobboo161b
o3boo27boo4bo4bobo878boobo5boo6b3obo$281bobobo4bo8boo6bobo170bo6boboo
15bobbo6b3o888boo3boboo$281bo3bo15bobo3boo3bo168b3ob4obobo13bo6booboo
883bobo6boo$287booboo15b4o87bo83boboobbo3bo15bobobobbo890b3obo4bo$284b
o18bobo91bobo81bobboo6b3o908b3o3bo4bo$284booboo16b4o87bobbo76boo3bobo
10bo15bo4bo888bo7bo$305b4o88boo76boo3bobbo10b3o14b4o889bo6bo$306boo
169bo3bo14bo$475boo3bo15b3o908bo$475boo12boobo4boo$489boboo3bobo20boo
38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo
38boo38boo38boo38boo38boo38boo38boo38boo$476boo5boo4boboo3b3o21boo38b
oo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38b
oo38boo38boo38boo38boo38boo38boo38boo$474bo7boo6bo5b3o20bo39bo39bo39bo
39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo
39bo39bo$470bobb5o5bobo4boo4bobo$465boobbobo4bobo4b3o4boobboo$465bobob
o4bo8boo6bobo16bo$398b3o64bo3bo15bobo3boo3bo12bobo$398bo72booboo15b4o
14bobbo$392boo5bo4bo63bo18bobo20boo$391boo8boboo63booboo16b4o$393bo6b
3obbobbo80b4o9boo892boo$395boobb7oboo81boo10bobo891bobo$395b4o3bo4b3o
85boo5bo893bo$397b3o3boobobobo7boo75bobo3boobbo893bo$398bobbobo5bo7bo
bbo74bo11bo891boo$394b3o3boo4bobbobo6bobo77bo3boo3b3o889boo$372boo20b
3obooboo16bo78boo4boo4bo887boo$371boo25bobobo5boo94b7o39bo843booboo$
372bobo18boo3bobobbo4booboo92b4o40b5o840bo4bo$372b3o18bo4bobooboo4bo
102bo36bobboo840bob4o$372boo11b3o13bo3bo3b3o99b4o36boobo843boo$374bobo
8bo12b3obboo110bo882boo$386bo11boobo3boboo101b6o38bobo841boo$376bobo9b
3o3b3obbobbob3oboo39boo53b3o3boboo886bo$378b3o8b5ob3obo3b4o41boo54bo5b
obo34b3o6b3o840boo20boo$378bo12bo3b3oboo3bo45bo54bobbooboo17bo11bo4bo
bb3o4b3o760boo77bo21bobo$377bo13bo7bobob7o42boo53bo14b3o4bobo9boo5boob
5ob3o748b3o9bobo77bo13boo5bo$372boboobo4bobb3obobo3bo3b3o3bobo43bo58bo
3bo7bo6bobbo8bobo3b3o4booboo749bobb3o6bo9bo83bobo3boobbo$371booboobo6b
obobo13bo4bobo98boo4bobo8bo4boo21bobo753bobo16boobo82bo11bo$371bobo4bo
5bo7boboo6bo4bo42bobbo25boo33bo7bo4bo15b3o6bobbo758bo4boobbo3boobbo85b
o3boo3b3o$376boo6boboo4bobboo5bobo42boobo28bobo34b3o4b3o16b3o7bo759bo
6boobboboobbo87boo4boo4bo$376bo3bo7b5o11boo40boo4bo26bo38boboo5bobo14b
obob4obbo759boboobo3b5o95b7o9bobo24bo$375bo3bo5boo5boo10boo42bobobbo6b
o21bo37bo8bo16booboo772boo99b4o12boo23b5o$386bo15bo3bo3b3o25boo13bo5b
oo18bobb3o27boo3b3o10bo15b6o763bobb6o107bo8bo24bobboo$375bobbo7bo13b5o
bbobbo26bobbo9bobbo5bobo16boobo30bobobboo12bo784b7o107b4o33boobo$374b
oobo18b3obo6b3obbo25bobo10bobo25boob3o27bo4bo13bobo784b3o113bo$374bo
21bo9bo32bo11bobo8boo51bobo911b6o35bobo$373boo22bo3bo5bo44boo7b4o13bo
32boo13bo6boo888b3o3boboo$373bo29b3o4bo41bo5bobo16boboobo28boo12b5o4bo
bbo25boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo
38boo38boo38boo38boo38boo38boo138bo5bobo31b3o6b3o$374bo28bobbo49b3obbo
12boboobobo30boo5boo4bo6boo28bobo37bobo37bobo37bobo37bobo37bobo37bobo
37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bo
bo139bobbooboo26bo4bobb3o4b3o$402bo3bobbo46bo3boo8boob3oboboo29bo8bobo
11bo30bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo
39bo39bo39bo33bo5bo101bo14b3o13boo5boob5ob3o$398boobobbob3obo45bobo10b
oo7boo30b4o5bo5boboo6bobo779bo7bo103bo3bo7bo15bobo3b3o4booboo$398bo4b
oo5bo46boo4boo6boboo3boo22bobb3obo4bo5boo4bo4bobo783b3o3b3o101boo4bobo
8bo24bobo10b3o$398boboo3boo50bo6boo35boobbob4o3bo5bobbo6b3o900bo7bo4bo
12b3o6bobbo10bo$407bobb3o51boo5bo29bobobobobbo9bo6booboo903b3o4b3o13b
3o7bo6b3o6bo$403b3oboobboo53bobbobbo32b3obboo10bobobobbo907boboo5bobo
11bobob4obbo4bo6bobo$406bo59b4obbo31boobo931bo8bo13booboo9bo4boob4o$
469bo6boo27boboo15bo4bo20bo880boo3b3o10bo12b6o10b4ob5oboo$403boobboo
57boo7boo3bo44b4o10bo9bobo757bo121bobobboo12bo28boo7boobo$401b3obbobbo
58bo8boboo57boo9bobbo755boo121bo4bo13bobo$400booboobobbo53bo15b3o50bo
5bobo9boo756bobo123bobo$400bo5bo55b5o12bo51boo897boo20boo$401bo5bo54bo
bboo14b3o47bobo3boobobo768boo117boo21bobbo$405boo51boo14boobo4boo51bo
7boo766boo118boo35b3o$401bo3bo51bobbo3boobbo5boboo3bobo50bo4bo5boo882b
o22boobbo13bo$400b4o4bo49bobo13boboo3b3o50bobbobb6o761boboo118b4o19bo
16bo$400bo4bo53bo6bobo6bo5b3o101b3o718b4o111bobb3obo4bo$401boobobo68b
oo4bobo101bobb3o715bo3boo108boobbob4o3bo19b3o$402bobobbo60b3o4boobboo
66b3o36bobo722bobbo105bobobobobbo$399bo4bo71bobo8boo58bobboo39bo832b3o
bboo18bo4boo47b3o$400bobob3o63bobo3boo3bo5bobo56booboo38bo720boo3bo
107boobo21boo16bo36bo$402b3o71b4o7bo53boo48bobo716boo3bo108boboo20bobo
bboo10bobo36bo$403booboo64bobo15bo49boo4bobo35boobo6bo716bo140b3o10bob
o38boo$408bo65b4o12boo50bobboboo34boo3bobbobbo588bo127bo139bobbo11bo
40bo$399b5o5bo64b4o12boo52boo13boo16b3o4bobbobbo3bo576boo9boo128boo
132boo$399bo3bo3b3o65boo12boo27bo25boo4bo7boo17bo6bobbobbo3bo575boo3bo
6bobo261bobobboo16boo33boo$400bobobobb3o75booboo27boo26bo4b3o6bobbo17b
o3bo6bobo578boboo15b3o252bobboboo14boobbo32boo$406bo78bo4bo26bobo31boo
6boobo7bo6bobbo8boo583b3o5bobo4booboo256boo15bo3bo31bobo$408boboo73bob
4o62boobobboo3bo4bobo6bobbo6b3o583bo6boobobobo256bo3b3o18boo8boo17boob
oo$405booboboo50boobo23boo6b3o17boboboo31bobo12bobbo6bo5bo3bo586b3obo
6boboo246boo5boo3boo17bobo8boo17booboobo$400boo3bobbo53bo3bo22boo6bo
19boobboo31bobbo4bobobo3boo9boboboobo588boo7bo249boo5bo24boo10bobo11b
oo3boboo$400bobo3boobo52bo4bo21boo7bo17bobbobo27bo3b3o10bo16boo592boo
5boo252bo4bobo23bo10b3o11bobobbobbo$400bo4boobboo53boo25bo8boo46boo16b
obo18bo591b5o160bo95boobbo23boo10boo12bo7bo$403bobo4bo55bobo11boo8boo
7boobbo44bobobo790boo95boo16b3o7boo12bobo3bo10bobbo$406bo72bobbo7bo7bo
4bo11b3obobo31boo13bobo13bobbo749bo5bobo112bobb3o6bo17bo7b4obo$405boo
bbo51bo6boo10bobo8bo3b4o16boobbo28bobo785boo121bobo7bobo12bobobo7boo$
405bo54b5o4bobbo8bo11boobboo9boob3o5bo27boobo10b3o6b3o34bo39bo39bo39bo
39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo168bobo3boobobo116bo5bo15b
3ob3obo$405bo48boo4bo6boo27bo3boo6bo3bo3boo30bo7bo4bobb3o4b3o33boo38b
oo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo
171bo7boo112bo23b3o5bobbo$454bobo11bo26boo11boboobobbo30bo7boo5boob5ob
3o32bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo
37bobo37bobo37bobo37bobo170bo4bo5boo112bobo20boo8bo$454bo5boboo6bobo
22bo6boo42b3o6bobo3b3o4booboo766bobbobb6o106boobo6bo$405b6o44boo4bo4bo
bo27bo6bo38bobbo3boo16bobo794bo22b3o66boo3bobbobbo30bo$405boob4o43bobb
o6b3o40b3o26b3ob3obb5o6b3o6bobbo795bo21bobb3o57b3o4bobbobbo3bo29boo$
404bobboobo44bo6booboo9bo27boob4o26bo5bobbobo7b3o7bo785b3o8b3o22bobo
59bo6bobbobbo3bo29bobo$403boo3bo11bo36bobobobbo9boo28boo8boobo20bo3bo
4bo10bobob4obbo783bobboo36bo59bo3bo6bobo$402b3o3bobo8boo54boo28bobbo5b
o3bo21boobobbo13booboo786booboo35bo58bobbo8boo36boo$402b3obbobobobo5bo
bo37bo4bo49bo4bo21bobo16b6o780boo45bobo55bobbo6b3o36boo$411bobo6bo39b
4o41bobo8boo23bobo801boo4bobo32boobo6bo55bo5bo3bo$404bob3o3bo3b6o78b3o
15bobo53b3o593b3o174bobboboo31boo3bobbobbo57boboboobo34boboo27b3o$405b
3ob3o5bo3bo78bobboo69bo595bo178boo13boo13b3o4bobbobbo3bo59boo37b4o28bo
$405bo3boboobobob3o80bobobbo6bo6boo45b3o6bo13bo580bo177boo4bo7boo14bo
6bobbobbo3bo63bo34bo3boo27bo$411boo7boo81boobo5b5o4bobbo42bo6bobo12bob
o581boo175bo4b3o6bobbo14bo3bo6bobo9boo93bobbo4boo21boo$411b3o6bobo81b
oo6bo6boo47bo4boob4o9bobbo581bo181boo6boobo11bobbo8boo11boo51bobbo26b
oo18boo18b3obbo$419bo84bo15bo49b4ob5oboo7boo766boobobboo3bo10bobbo6b3o
5boo5bo81bobo9boo3bo4bo16bo$410boo6bobboo77boo4boo4boboo6bobo46boo7boo
bo587bo187bobo19bo5bo3bo5boo5boo82boo9boo3bo22bobbobo$410boo5boboo3bo
74bobbo10bo4bobo101boo544b4obo185bobbo4bobobo11boboboobo8bo4bobobboo
89bo9b3o17bobo$408boobobobboo5bobo74bobo4bobo7b3o6bo57bo36boo3bo541bo
4bo180bo3b3o10bo13boo14boo3boob4o87bo7bob4o12bo$407boobo4bo3bo81bo12b
ooboo6boo57bo38boboo542bo4boo177boo16bobo15bo11boo10bo87boo3b6o13boobo
bo$407bo3bobboo93bobobobbo8bobo55bobboo37b3o543bobb3o14b3o159bobobo55b
o90boo4boo7boboo3bo3bo$408bo6bo167boboobo36bo549boo14bo166boo13bobo10b
obbo17bo96boo4bo7boobooboboo$511bo4bo11boo47boo4boo42b3o542booboo7b3o
6bo159bobo53boo94bo7bo4bobo3bobo$417b3o92b4o12boo47bobobb3o35boobo4boo
543boboo7bo6bobo13bo144boobo19b3o127bo7bo13bo$418boo157bo3bo38boboo3bo
bo543bobo9bo4boob4o11boo143bo22b3o13boo112boo4bo$524boboo27b3o22boo3bo
9boo17boo4boboo3b3o433boobo7b3o97boo11b4ob5oboo7boo143bo20b6o14boo119b
o4bobo$523b4o28bo24bo4bo9bobo15boo6bo5b3o433bo3bo6bo113boo7boobo150b3o
38bo122boboobo$523bo3boo27bo30bo7bo18bobo4boo4bobo433bo4bo7bo7boo150b
oo109bobbo3boo20bo138boo8bo$501bo26bobbo4boo21boo20boo4boo7b3o15b3o4b
oobboo438boo7bobo4boobo116bo33boo3bo101b3ob3obb5o20bo138bobboo4b5o$
500b5o30boo18b3obbo29boo4bob3o13boo6bobo442bobo4b3obobboo118bo35boboo
101bo5bobbobo22bo139boo6bobboo$500bobboo22boo3bo4bo16bo35b3obo4bo16bob
o3boo3bo445bo3boobboo117bobboo34b3o101bo3bo4bo73boo87b3o8boobo$502boob
o21boo3bo22bobbobo36boobbo20b4o443boob4oboo121boboobo33bo105boobobbo
18b3o3boo47boo84boobbo$528bo9b3o17bobo29bo3bo6bobo6bo7bobo449b7o117boo
4boo39b3o102bobo21bo18bo37bo82boobboo13bobo$505bobo20bo7bob4o12bo29b3o
bboobo16bobo8b4o570bobobb3o32boobo4boo102bobo22bobboo12bobo38boo81bobb
oo25boobo$529boo3b6o13boobobo25bo4boo12bobo3bobbo7b4o570bo3bo35boboo3b
obo130booboo9bobo37bo78boo5bo7b3o6b3o8bo3bo$498b3o6b3o22boo4boo7boboo
3bo3bo27bobboo19boo9boo574boo3bo9boo14boo4boboo3b3o125bo4bo14bo117bobo
4boo6bobb3o4b3o7bo4bo$493bo4bobb3o4b3o11boo8boo4bo7boobooboboo28bobo
18bobo589bo4bo9bobo12boo6bo5b3o124b4oboo52bobbo77boo13boob5ob3o9boo$
492boo5boob5ob3o10bobbo8bo7bo4bobo3bobo29boo12boobo6bo595bo7bo15bobo4b
oo4bobo9boo113bo24boo31boo87b3o4b3o4booboo12bobo$492bobo3b3o4booboo12b
obo8bo7bo13bo28bobo10boo3bobbobbo41b3o37b3o37b3o37b3o37b3o37b3o37b3o
37b3o37b3o37b3o37b3o145boo4boo7b3o12b3o4boobboo12bobo113boo3bo19boo29b
o91bo10bobo$504bobo16bo10boo4bo50b3o4bobbobbo3bo43bo39bo39bo39bo39bo
39bo39bo39bo39bo39bo39bo154boo4bob3o10boo6bobo7boo5bo114b6o20boo6boo
17boobbobo89b3o7bobbo10bo6boo$494b3o6bobbo35bo4bobo32boo7bo6bobbobbo3b
o42bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo155b3obo4bo13bobo3boo3bo
4bobo3boobbo102boo6boo21boo10bobo16bobobbo92bo7bo12b5o4bobbo$493b3o7bo
39boboobo30bobbooboo7bo3bo6bobo606boobbo17b4o6bo11bo100bobo3boobbo32bo
14bo3bobo95b3ob4obbo4boo4bo6boo$495bobob4obbo37boo8bo20booboo3bobbo5bo
bbo8boo602bo3bo6bobo11bobo14bo3boo3b3o98bo5b3o24b3o8boo11boo4boo97boob
oo8bobo11bo$497booboo41bobboo4b5o16boo3bo13bobbo6b3o596b3obboobo24b4o
11boo4boo4bo100bo29bo10bobbo9bobo3boo97b6o7bo5boboo6bobo3bo$497b6o41b
oo6bobboo18bobobobb3o8bo5bo3bo597bo4boo12bobo11b4o17b7o100boo17boo9bo
bbo7bo17b3o111boo4bo4bobo6b5o$476bo66b3o8boobo37boboboobo600bobboo27b
oo19b4o120boo3bo9bo9bobob3o7bo3bo111bobbo6b3o7bobboo$474boo63boobbo33b
3obbo14boo602bobo18bobo157boboo9bo17bo4boobbo112bo6booboo10boobo$475b
oo61boobboo13bobo17boo22bo599boo22bo158b3o5bobo12bo9bo119bobobobbo$
540bobboo66boo450boo136bobo18bobbo10boo146bo8bo14b4oboob4o140bobo$513b
o28bo7b3o6b3o36bobbo8boo450boo158bobbo9bobo148b3o29boo114bo4bo4bo$513b
obo26boo6bobb3o4b3o41boo5bo452bo134boo21bobbo11bo141boobo4boo140boo4bo
4b4o9b3o6b3o$513boo36boob5ob3o40boo5boo454boo128bobbooboo175boboo3bobo
140bo4boo12bo4bobb3o4b3o$543b3o4b3o4booboo43bo4bobobboo448bo125booboo
3bobbo20bobo147boo4boboo3b3o30b3o125boo5boob5ob3o$545bo10bobo48boo3boo
b4o453bo19bo97boo3bo29bo146boo6bo5b3o30bo108bobbo15bobo3b3o4booboo$
545b3o7bobbo48boo10bo10bo433bobbo4bobo15bobo99bobobobb3o33bo38boo97bob
o4boo4bobo31bo109bo28bobo$547bo7bo7b3o53bo9bobo26boobo399boobo7boo17b
oo126boo4bo8bobo37bobo96b3o4boobboo36boo102bobbo19b3o6bobbo$542boo3b3o
b4obbo5bo49bo15bobbo25bo3bo397boo4bo127b3obbo18boo4boo8bobo37bo98boo6b
obo39bo102b3o19b3o7bo$541bobbo4booboo10bo50boo3boo8boo26bo4bo398bobobb
o126boo24bobboboo8bo41bo97bobo3boo3bo128boo33bobob4obbo$542bobo4b6o11b
oo52b4o36boo405bo154booboo50boo102b4o35bo29boo62boo3bo11boboo17booboo$
543bo23bo51bo4bo37bobo399bobbo170bo38boo98bobo37b4obo26boo65boboo11boo
boo16b6o$614bo4bo4bo440bobo148b3obbo15boboo35boo101b4o34bo4bo28bo66b3o
14bo$564bo29boo17boo3boo37bo6boo399bobo148bobb3obo13boboo34boo102b4o
35bo4boo5boo21bo64bo16bo$561b4obo26boo18bobo3bo36b5o4bobbo397boo53boo
94b6o15bo34boobbo102boo38bobb3o4bobo16b6o65b3o6bo4bo$561bo4bo28bo21b5o
10bo17boo4bo6boo301bo10boo87bo53boo129bo18bobb3o134boo12boo4bo18bobbo
68boo6bo$562bo4boo5boo21bo19b4o10boo17bobo11bo300b5o6boo144bo85bo6boo
20bo12boo17boo139bobo8booboo7bo15b6o66boo8boo$538b3o23bobb3o4bobo16b6o
18boo5bo6bobo16bo5boboo6bobo296bobboo8bo7boo136boo81boo5bobbo19bo12bob
o16bobo139boo9boboo6bobbo14bo3bo66boo$538bobb3o24boo4bo18bobbo21bo3boo
27boo4bo4bobo302boobo5boo6b3obo134bo83bobo3boobo20bobboo22b3o3bo151bob
o7bobbo13boo70boo$539bobo23booboo7bo15b6o26bo6boboo15bobbo6b3o312boo3b
oboo226bo26b3o11b3o9bo6bobbo148boo4b3obbo12boob3o68boo$544bo21boboo6bo
bbo14bo3bo27b3ob4obobo13bo6booboo307bobo6boo141bobbo25boo57bo18boobo5b
3o10b3o11bo4bo156bobobbo11boobbo3bo69boo$542bo23bobo7bobbo13boo32boboo
bbo3bo15bobobobbo314b3obo4bo134boobo28bobo56bobbo15bo3bo5bo13bobo11bob
oo3bo151boob4o7b3ob3obo74bo$544bobo20boo4b3obbo12boob3o29bobboo6b3o
332b3o3bo4bo134boo4bo26bo77bo4bo20b6o5b5o156boboo9bo5bobo73bo$537boobo
6bo23bobobbo11boobbo3bo24boo3bobo10bo15bo4bo312bo7bo138bobobbo6bo21bo
76boo22b7obobo161bobo4b3o4bo7boo66boo$536boo3bobbobbo22boob4o7b3ob3obo
27boo3bobbo10b3o14b4o313bo6bo144bo5boo18bobb3o76bobo25boo3bobo159boo
13bo73bobobbobo$530b3o4bobbobbo3bo23boboo9bo5bobo29bo3bo14bo7boo471bo
bbo5bobo16boobo111bobo167bobo79bo3bobo$530bo6bobbobbo3bo23bobo4b3o4bo
7boo25boo3bo15b3o5boobbo322bo146bobo25boob3o71bo6boo200bobb4o76boobbo$
533bo3bo6bobo25boo13bo32boo12boobo4boo6bobboo468bobo8boo91b5o4bobbo
197booboo79bobo$530bobbo8boo20boo13bobo52boboo3bobo6boob3o38boo38boo
38boo38boo38boo38boo38boo38boo148boo7b4o13bo70boo4bo6boo32boo170bo5b3o
66boo3boo$531bobbo6b3o19bobbo14bobb4o33boo5boo4boboo3b3o6b5o40boo38boo
38boo38boo38boo38boo38boo38boo147bo5bobo16boboobo66bobo11bo31boo169boo
6bobb3o62boobob3o$532bo5bo3bo21bobo14booboo33bo7boo6bo5b3o6bobbo40bo
39bo39bo39bo39bo39bo39bo39bo153b3obbo12boboobobo67bo5boboo6bobo29bo
168bo8bobo66bobo$534boboboobo23bo18bo5b3o22bobb5o5bobo4boo4bobo7boo
475bo3boo8boob3oboboo69boo4bo4bobo35boo160boobo15bo$536boo44boo6bobb3o
14boobbobo4bobo4b3o4boobboo487bobo10boo7boo70bobbo6b3o35bo162bo3bo12bo
62boo$540bo41bo8bobo16bobobo4bo8boo6bobo490boo4boo6boboo3boo70bo6boob
oo199bo3bo14bobo10bo39b3o5boo3bobo$577boobo15bo13bo3bo15bobo3boo3bo
487bo6boo86bobobobbo37bobbo25boo135bobo7boobo6bo8b5o36bo6bobo$537bobbo
36bo3bo12bo21booboo15b4o496boo5bo122boobo28bobo129boo12boo3bobbobbo8bo
bboo37bo4boo$577bo3bo14bobo14bo18bobo503bobbobbo81bo4bo33boo4bo26bo
131bobo3bobo6bobbobbo3bo10boobo38b4obo$476bo102bobo7boobo6bo13booboo
16b4o500b4obbo18b3o61b4o25boo9bobobbo6bo21bo129boo12bobbobbo3bo53boo$
474boo112boo3bobbobbo34b4o9boo316boo174bo21bo92bobo13bo5boo18bobb3o
134boo5bo6bobo14bobo$475boo103bobo6bobbobbo3bo35boo10bobo315bobo170boo
24bo92boo10bobbo5bobo16boobo139bo9boo$589bobbobbo3bo40boo5bo317bo174bo
25boo102bobo25boob3o137boo6b3o10b3o6b3o$513bo68boo5bo6bobo41bobo3boobb
o317bo166bo31bo102bobo8boo163bo3bo6bo4bobb3o4b3o$513bobo68bo9boo44bo
11bo315boo164b5o132boo7b4o13bo144boboboobo6boo5boob5ob3o$513boo70boo6b
3o6boo39bo3boo3b3o313boo164bobboo25boo105bo5bobo16boboobo142boo10bobo
3b3o4booboo$590bo3bo6boo40boo4boo4bo311boo195boo109b3obbo12boboobobo
147bo19bobo6b3o$551bobo32boboboobo9bo45b7o39bo267booboo164bo3boobbo22b
obo109bo3boo8boob3oboboo158b3o6bobbo6bobb3o$551boo35boo15boo43b4o40b5o
264bo4bo161bobo26booboo111bobo10boo7boo146bobbo8b3o7bo10bobo$552bo39bo
11bo52bo36bobboo264bob4o162boo5bobo17booboobo111boo4boo6boboo3boo160bo
bob4obbo13bo$584boo70b4o10bo25boobo267boo50boo133boo3boboo113bo6boo
176booboo15bo58bo$583bobbobbobbo10bobbo25boo26bo8bobo295boo50bobo118b
3o11bobobbobbo120boo5bo170b6o16bobo53bo$584bobo13boobo28bobo20b6o8bobb
o26bobo265boo50bo134bo7bo13bo108bobbobbo184boobo6bo52b3o$585bo13boo4bo
26bo16b3o3boboo11boo297bo52bo119bobo3bo10bobbo12b5o105b4obbo160boo3boo
16boo3bobbobbo$601bobobbo6bo21bo13bo5bobo34b3o6b3o264boo52boo124bo7b4o
bo13bobboo108bo6boo155boo3boo10b3o4bobbobbo3bo$577boo27bo5boo18bobb3o
12bobbooboo29bo4bobb3o4b3o194boo67bo53boo120bobobo7boo19boobo104boo7b
oo3bo169bo6bobbobbo3bo$576boo3bo21bobbo5bobo16boobo17bo14b3o16boo5boob
5ob3o182b3o9bobo67bo51boo27bo95b3ob3obo132bo8boboo152bo19bo3bo6bobo$
578boboo22bobo25boob3o17bo3bo7bo18bobo3b3o4booboo183bobb3o6bo9bo107boo
boo27boo95b3o5bobbo22bobo99bo15b3o151boo15bobbo8boo$580b3o21bobo8boo
36boo4bobo8bo27bobo187bobo16boobo106bo4bo26bobo95boo8bo123b5o12bo151b
oobo16bobbo6b3o$580bo24boo7b4o13bo27bo7bo4bo15b3o6bobbo192bo4boobbo3b
oobbo106bob4o111boobo35b3o6b3o91boo3bobboo14b3o134boobo7booboo18bo5bo
3bo$582b3o20bo5bobo16boboobo25b3o4b3o16b3o7bo193bo6boobboboobbo112boo
6b3o17boboboo79bo3bo29bo4bobb3o4b3o90bobo14boobo4boo9b3o122bo3bo7b3o4b
3o14boboboobo$575boobo4boo24b3obbo12boboobobo28boboo5bobo14bobob4obbo
193boboobo3b5o114boo6bo19boobboo79bo4bo27boo5boob5ob3o91boo4boobbo5bob
oo3bobo9bobb3o119bo4bo7bo3bo3bo16boo$575boboo3bobo24bo3boo8boob3oboboo
31bo8bo16booboo206boo117boo7bo17bobbobo82boo29bobo3b3o4booboo108boboo
3b3o10bobo123boo13bobobo20bo$569boo4boboo3b3o24bobo10boo7boo24boo3b3o
10bo15b6o197bobb6o120bo8boo104bobo38bobo103bobo6bo5b3o15bo122bobo11b3o
bo$568boo6bo5b3o25boo4boo6boboo3boo24bobobboo12bo218b7o120boo7boobbo
133b3o6bobbo112boo4bobo13bo141boo16bobbo$569bobo4boo4bobo25bo6boo38bo
4bo13bobo218b3o122bo7bo4bo11b3obobo79bo6boo26b3o7bo108b3o4boobboo18bob
o122boo13bo$569b3o4boobboo35boo5bo35bobo360bo3b4o16boobbo80b5o4bobbo
25bobob4obbo114bobo13boobo6bo122bobbo$569boo6bobo39bobbobbo30boo13bo6b
oo218bo115bobo8boobboo9boob3o5bo74boo4bo6boo31booboo7boo103bobo3boo3bo
9boo3bobbobbo$571bobo3boo3bo36b4obbo30boo12b5o4bobbo15boo38boo38boo38b
oo38boo37bobo115boo11bo3boo6bo3bo3boo76bobo11bo31b6o6bobo108b4o5b3o4bo
bbobbo3bo121boobbo$577b4o41bo6boo26boo5boo4bo6boo18bobo37bobo37bobo37b
obo37bobo36booboo114bo11boo11boboobobbo77bo5boboo6bobo39bo106bobo10bo
6bobbobbo3bo121bo$573bobo30boo11boo7boo3bo21bo8bobo11bo20bo39bo39bo39b
o39bo167bo6boo91boo4bo4bobo17boo27bo105b4o10bo3bo6bobo5boo$575b4o26bo
bbo12bo8boboo21b4o5bo5boboo6bobo345bo6bo91bobbo6b3o17bobbo26boo104b4o
7bobbo8boo7boo3bo113b3o$575b4o27bobo7bo15b3o12bobb3obo4bo5boo4bo4bobo
11bo349b3o84bo6booboo19boo7b3o17boo105boo9bobbo6b3o9boboo$576boo29bo7b
5o12bo13boobbob4o3bo5bobbo6b3o11bobo344boob4o19boo65bobobobbo30bobbo
15boo27bo90bo5bo3bo12b3o108bo4boo$615bobboo14b3o9bobobobobbo9bo6booboo
12bobbo343boo23boo104bobbo11booboo27boo92boboboobo13bo109boo$627boobo
4boo13b3obboo10bobobobbo15boo345bobbo22bo67bo4bo30bobb4o8bo4bo26bobo
84bo8boo19b3o105bobobboo$617boobbo5boboo3bobo12boobo412boo65b4o11bobo
18boobboo8bob4o110boboboo10bo9boobo4boo109b3o$627boboo3b3o13boboo15bo
4bo362bobo24bo74bo7boo37boo6b3o17boboboo77boobobboo19boboo3bobo108bobb
o$619bobo6bo5b3o33b4o10bo203bo143b3o103boo8bo37boo6bo19boobboo76bo3bob
3o6bobbo3boo4boboo3b3o103boo$476bo151boo4bobo46boo202boo143bobboo26bo
bbo71bobo45boo7bo17bobbobo78bobb3o14boo6bo5b3o103bobobboo$474boo145b3o
4boobboo43bo5bobo201bobo143bobobbo23boo124bo8boo99b5o15bobo4boo4bobo
103bobboboo$475boo152bobo8boo34boo357boobo22bo79boo44boo7boobbo97bo19b
3o4boobboo110boo$623bobo3boo3bo5bobo33bobo3boobobo202boo144boo19boobbo
bo77boo19b3o22bo7bo4bo11b3obobo78bo20boo6bobo107bo3b3o$513bo115b4o7bo
39bo7boo200boo144bo20bobobbo99bobb3o20bo3b4o16boobbo69bo11bobboo17bobo
3boo3bo96boo5boo3boo$513bobo109bobo15bo35bo4bo5boo346boo13bo3bobo77bob
oo22bobo24boobboo9boob3o5bo68b5o9boobbo22b4o97boo5bo$513boo112b4o12boo
34bobbobb6o195boboo162boo4boo76b4o28bo24bo3boo6bo3bo3boo70bobboo10bob
oo18bobo104bo4bobo$627b4o12boo85b3o152b4o150bobo10bobo3boo76bo3boo24bo
25boo11boboobobbo73boobo8bobbo21b4o103boobbo$551bobo74boo12boo27bo58bo
bb3o149bo3boo166b3o13b3o65bobbo23bobo21bo6boo98bobbo21b4o103boo$551boo
85booboo27boo20b3o36bobo156bobbo147bobob3o7bo3bo13bobb3o92bo21bo6bo89b
oboboo5bo23boo$552bo85bo4bo26bobo19bobboo39bo312bo4boobbo15bobo63boo3b
o22bobbo33b3o85b3ob4o$590bo33boo12bob4o47booboo38bo154boo3bo148bo9bo
25bo60boo3bo22bobbo29boob4o84boboo244bo$589bo25boobo5boo16boo6b3o17bob
oboo10boo48bobo150boo3bo149b4oboob4o21bo63bo26bobbo29boo8boobo78b3o
243bo$589b3o23bo3bo4boobb3o11boo6bo19boobboo9boo4bobo16bo18boobo6bo
150bo163boo23bobo59bo46boo12bobbo5bo3bo74b6o243b3o$615bo4bo4booboo12b
oo7bo17bobbobo12bobboboo15bobo16boo3bobbobbo92bo57bo142bo38boobo6bo59b
oo25bobo16bobo20bo4bo$617boo7b3o15bo8boo34boo13boo3bobbo9b3o4bobbobbo
3bo80boo9boo58boo139b5o34boo3bobbobbo88bo17boo11bobo8boo78bo$619bobo5b
o15boo7boobbo32boo4bo7boo5boo10bo6bobbobbo3bo79boo3bo6bobo198bobboo28b
3o4bobbobbo3bo114b3o15bobo75bo$643bo7bo4bo11b3obobo15bo4b3o6bobbo17bo
3bo6bobo82boboo15b3o191boobo9bo17bo6bobbobbo3bo82boo4bo25bobboo91bo$
614bo6boo21bo3b4o16boobbo23boo6boobo14bobbo8boo87b3o5bobo4booboo203bob
o19bo3bo6bobo82boo4boo26bobobbo6bo6boo10boo$613b5o4bobbo20boobboo9boob
3o5bo25boobobboo3bo13bobbo6b3o87bo6boobobobo199bobo5bo19bobbo8boo87bo
bboboo27boobo5b5o4bobbo6boo3bo53b3o3boo$607boo4bo6boo27bo3boo6bo3bo3b
oo28bobo22bo5bo3bo90b3obo6boboo208boo16bobbo6b3o89booboo28boo6bo6boo
12boboo53bo$607bobo11bo26boo11boboobobbo29bobbo4bobobo14boboboobo92boo
7bo194b3o6b3o3bo4bo3boo11bo5bo3bo123bo15bo14b3o53bobboo170bo$607bo5bob
oo6bobo22bo6boo37bo3b3o10bo16boo96boo5boo190bo4bobb3o4b3obboo3bobbobb
oo11boboboobo5boo78b3obbo35boo4boboo6bobo10bo58booboo165boo$608boo4bo
4bobo27bo6bo36boo16bobo18bo95b5o191boo5boob5ob3o4boo3b3obbo13boo8boo
79bobb3obo40bo4bobo16b3o49bo4bo170boo$608bobbo6b3o40b3o29bobobo326bobo
3b3o4booboo10bo4bo17bo7bo79b6o35bobo7b3o10boobo4boo48b4oboo$608bo6boob
oo37boob4o34boo13bobo13bobbo303bobo13b5o28boo124booboo11boboo3bobo48bo
$610bobobobbo39boo8boobo22bobo330b3o6bobbo14boo17bobbo8bo69bo6boo43bob
obobbo7boo4boboo3b3o49boo3bo$658bobbo5bo3bo20boobo10b3o6b3o24bo39bo39b
o116bo85b3o7bo117boo5bobbo56boo6bo5b3o48b6o$612bo4bo49bo4bo20bo7bo4bo
bb3o4b3o23boo38boo38boo116bo86bobob4obbo45bobbo25boo39bobo3boobo45bo4b
o7bobo4boo4bobo5boobo30boo6boo$613b4o41bobo8boo21bo7boo5boob5ob3o22bob
o37bobo37bobo114b3o88booboo46boobo28bobo42bo51b4o8b3o4boobboo8bo3bo29b
obo3boobbo$653b3o15bobo17b3o6bobo3b3o4booboo311b6o44boo4bo26bo43bo64b
oo6bobo10bo4bo28bo5b3o$648boo3bobboo29bobbo3boo16bobo216bo149bobobbo6b
o21bo40bobbo63bobo3boo3bo9boo33bo$647bobbo3bobobbo6bo6boo7b3ob3obb5o6b
3o6bobbo215boo154bo5boo18bobb3o111b4o13bobo30boo$648bobo5boobo5b5o4bo
bbo4bo5bobbobo7b3o7bo212bo5bobo103b3o44bobbo5bobo16boobo96bo13bobo$
649bo7boo6bo6boo9bo3bo4bo10bobob4obbo209boo111bo47bobo25boob3o92bobo
14b4o10bo6boo$657bo15bo11boobobbo13booboo20bo192bobo3boobobo102bo46bob
o8boo112booboo13b4o9b5o4bobbo$659boo4boboo6bobo8bobo16b6o18bobo195bo7b
oo102boo44boo7b4o13bo97bobbo15boo4boo4bo6boo$666bo4bobo12bobo40bobbo
193bo4bo5boo101bo20boo22bo5bobo16boboobo92booboo21bobo11bo$660bobo7b3o
46b3o8boo87b3o104bobbobb6o122boo3bo23b3obbo12boboobobo94bobo22bo5boboo
6bobo$667booboo7boo38bo99bo154b3o60bo24boboo23bo3boo8boob3oboboo96bo
24boo4bo4bobo$476bo185bobobobbo8boo32b3o6bo98bo153bobb3o54b4obo24b3o
12boo8bobo10boo7boo122bobbo6b3o$474boo204bo31bo6bobo100boo115b3o33bobo
56bo4bo24bo14bobo8boo4boo6boboo3boo122bo6booboo63bo$475boo187bo4bo12b
oo29bo4boob4o98bo115bobboo36bo54bo4boo24b3o11boo8bo6boo102b3o33bobobo
bbo65bobo$665b4o12bo33b4ob5oboo210booboo35bo58bobb3o24boo28boo5bo96bo
bb3o103boo$513bo202boo7boobo91bo112boo45bobo58boo24boo30bobbobbo96bobo
34bo4bo$513bobo164bobbo25boo106b4obo109boo4bobo32boobo6bo54booboo24boo
30b4obbo101bo32b4o$513boo162boobo28bobo17bo87bo4bo111bobboboo31boo3bo
bbobbo55boboo24boo33bo6boo94bo$676boo4bo26bo19bo88bo4boo111boo13boo13b
3o4bobbobbo3bo55bobo25boo30boo7boo3bo93bobo$551bobo100bo23bobobbo6bo
21bo15bobboo87bobb3o110boo4bo7boo14bo6bobbobbo3bo56boo26boo31bo8boboo
96bo$551boo100b5o25bo5boo18bobb3o13boboobo90boo111bo4b3o6bobbo14bo3bo
6bobo9boo75bo26bo15b3o92bobbo$552bo100bobboo22bobbo5bobo16boobo10boo4b
oo34bo56booboo117boo6boobo11bobbo8boo11boo75bo26b5o12bo94bobbo$590bo
64boobo11boo9bobo25boob3o7bobobb3o22boo9boo57boboo119boobobboo3bo10bo
bbo6b3o5boo5bo70boo30bobboo14b3o90bobbo329bo$589bo79bobbo8bobo8boo28bo
3bo24boo3bo6bobo56bobo121bobo19bo5bo3bo5boo5boo70bobobbobo36boobo4boo
9b3o410bo$589b3o66bobo9bobo9boo7b4o13bo16boo3bo9boo11boboo15b3o48boo
121bobbo4bobobo11boboboobo8bo4bobobboo65bo3bobo27boobbo5boboo3bobo9bo
bb3o76bobo328b3o$671bo10bo5bobo16boboobo12bo4bo9bobo12b3o5bobo4booboo
166bo3b3o10bo13boo14boo3boob4o66boobbo36boboo3b3o10bobo80bo$629bo21b3o
6b3o23b3obbo12boboobobo20bo7bo9bo4bo6boobobobo170boo16bobo15bo11boo10b
o66bobo29bobo6bo5b3o15bo$627boo17bo4bobb3o4b3o22bo3boo8boob3oboboo15b
oo4boo7b3o5bobo5b3obo6boboo168bobobo55bo60boo3boo40boo4bobo13bo73boo4b
o$628boo15boo5boob5ob3o22bobo10boo7boo25boo4bob3o3bobbo5boo7bo94bo82b
oo13bobo10bobbo17bo65boobob3o33b3o4boobboo18bobo68boo4boo$645bobo3b3o
4booboo24boo4boo6boboo3boo25b3obo4bo5boo6boo5boo83b3o10boo75bobo53boo
64bobo44bobo13boobo6bo69bobboboo$657bobo6bo20bo6boo46boobbo13b5o85bo
11boo75boobo19b3o138bobo3boo3bo9boo3bobbobbo71booboo$647b3o6bobbo6bobo
25boo5bo33bo3bo6bobo94b3o6bo87bo22b3o5b3o85boo38boo8b4o5b3o4bobbobbo3b
o$646b3o7bo9boo28bobbobbo26b3obboobo105bo6bobo86bo20b6o3boo80b3o5boo3b
obo32bobo3bobo10bo6bobbobbo3bo65b3obbo256bo$648bobob4obbo37b4obbo26bo
4boo12bobo93bo4boob4o82b3o27booboo78bo6bobo39boo5b4o10bo3bo6bobo5boo
59bobb3obo252boo$650booboo44bo6boo23bobboo110b4ob5oboo75bobbo3boo20bo
4b5o79bo4boo48b4o7bobbo8boo7boo3bo57b6o254boo$650b6o40boo7boo3bo18bobo
18bobo94boo7boobo69b3ob3obb5o20bo4bob3o81b4obo48boo9bobbo6b3o9boboo$
698bo8boboo18boo12boobo6bo141boo32bo5bobbobo22bo91boo63bo5bo3bo12b3o
47bo6boo$693bo15b3o17bobo10boo3bobbobbo106bo33boo3bo30bo3bo4bo73boo
107boboboobo13bo48boo5bobbo$692b5o12bo26b3o4bobbobbo3bo106bo35boboo32b
oobobbo18b3o3boo9b3o35boo110boo19b3o44bobo3boobo$692bobboo14b3o13boo7b
o6bobbobbo3bo105bobboo34b3o32bobo21bo14boobbo37bo113bo9boobo4boo48bo$
704boobo4boo10bobbooboo7bo3bo6bobo106boboobo33bo34bobo22bobboo10b3o40b
oo120boboo3bobo47bo$694boobbo5boboo3bobo5booboo3bobbo5bobbo8boo103boo
4boo39b3o58booboo8bo40bo109bobbo3boo4boboo3b3o47bobbo27bobo$690boo12bo
boo3b3o4boo3bo13bobbo6b3o103bobobb3o32boobo4boo53bo4bo169boo6bo5b3o78b
oo$689bobbo3bobo6bo5b3o6bobobobb3o8bo5bo3bo104bo3bo35boboo3bobo52b4ob
oo52bobbo114bobo4boo4bobo79bo$690bobo12boo4bobo26boboboobo108boo3bo9b
oo14boo4boboo3b3o52bo57boo117b3o4boobboo$691bo6b3o4boobboo11b3obbo14b
oo112bo4bo9bobo12boo6bo5b3o53boo3bo50bo119boo6bobo$706bobo13boo22bo
116bo7bo15bobo4boo4bobo9boo41b6o28boo17boobbobo85bo33bobo3boo3bo$700bo
bo3boo3bo145boo4boo7b3o12b3o4boobboo12bobo31boo6boo33bobo16bobobbo85b
5o36b4o$706b4o33bobbo119boo4bob3o10boo6bobo7boo5bo33bobo3boobbo32bo14b
o3bobo88bobboo32bobo$690boo10bobo161b3obo4bo13bobo3boo3bo4bobo3boobbo
30bo5b3o35boo11boo4boo90boobo33b4o$690bobo11b4o165boobbo17b4o6bo11bo
31bo40bobbo9bobo3boo127b4o$476bo213bo13b4o158bo3bo6bobo11bobo14bo3boo
3b3o29boo17boo20bo17b3o93bobo27bo4boo$474boo215boo12boo153b3obboobo24b
4o11boo4boo4bo46boo3bo19bobob3o7bo3bo123boo174bo$475boo214bobbo165bo4b
oo12bobo11b4o17b7o48boboo27bo4boobbo96b3o24boboo173bobo$691bo170bobboo
27boo19b4o52b3o20bo9bo102b3o24boo174boo$513bo179bobo164bobo18bobo87bo
23b4oboob4o97b6o21bobbo$513bobo181bo162boo22bo88b3o29boo125boo$513boo
180bobbo161bobo18bobbo7bo73boobo4boo131bo24bo$695bobbo182bobbo6boo73bo
boo3bobo131bo18bo$551bobo143b3o158boo21bobbo5bobo67boo4boboo3b3o30b3o
98bo18bo$551boo140b3ob3o155bobbooboo27boo67boo6bo5b3o30bo120bo$552bo
136b3oboobb3o150booboo3bobbo20bobo6bo68bobo4boo4bobo31bo93b3o3boo15bo$
590bo98bo7boo150boo3bo29bo6boo67b3o4boobboo36boo90bo22bobo413bo$589bo
100bo6boo152bobobobb3o31bobboo36boo25boo6bobo39bo91bobboo17boo413bo$
589b3o101b5o180boo4bo8boboboo34bobo26bobo3boo3bo17boo112booboo429b3o$
695boo12boo142b3obbo18boo4boo13bo34bo34b4o19bobo13bo29boo61bo4bo$629bo
64boo15bo141boo24bobboboo11boo37bo27bobo25boo10b4obo26boo61b4oboo$627b
oo65boo13b3o169booboo7bo3bo38boo28b4o34bo4bo28bo60bo$628boo63bobo197bo
3boo37boo28b4o35bo4boo5boo21bo59boo3bo$692boo181b3obbo16boo36boo30boo
38bobb3o4bobo16b6o57b6o$666bo25bobo180bobb3obo11bo39boo75boo4bo18bobbo
50boo6boo$666bobo22bo184b6o13bobbo33boobbo71booboo7bo15b6o48bobo3boobb
o$666boo24boo201b3o12bo18bobb3o74boboo6bobbo14bo3bo48bo5b3o364bo$867bo
6boo33boo17boo79bobo7bobbo13boo55bo367boo$866boo5bobbo32bobo16bobo79b
oo4b3obbo12boob3o53boo367boo$866bobo3boobo47b3o3bo84bobobbo11boobbo3bo
$870bo40b3o9bo6bobbo79boob4o7b3ob3obo$869bo18boobo18b3o11bo4bo84boboo
9bo5bobo$869bobbo15bo3bo19bobo11boboo3bo80bobo4b3o4bo7boo$888bo4bo20b
6o5b5o85boo13bo$890boo22b7obobo97bobo$892bobo25boo3bobo96bobb4o195bobo
$684bo239bobo97booboo197boo$683boo202bo6boo131bo5b3o191bo$677bo5bobo
200b5o4bobbo112boo12boo6bobb3o$653b3o20boo202boo4bo6boo32boo82bobo11bo
8bobo$653bo22bobo3boobobo192bobo11bo31boo84boo6boobo15bo$656bo23bo7boo
190bo5boboo6bobo29bo91bo3bo12bo$653bobbo22bo4bo5boo189boo4bo4bobo35boo
88bo3bo14bobo10bo$654bobbo21bobbobb6o190bobbo6b3o35bo92bobo7boobo6bo8b
5o$655bo225bo6booboo138boo3bobbobbo8bobboo$476bo180bobo223bobobobbo37b
obbo25boo64bobo6bobbobbo3bo10boobo$474boo183boo252boo10boobo28bobo72bo
bbobbo3bo267bo$475boo183bo224bo4bo22bobo8boo4bo26bo67boo5bo6bobo14bobo
251bobo$659boo18b3o204b4o24boo10bobobbo6bo21bo66bo9boo271boo$513bo144b
3o20bo249bo5boo18bobb3o65boo6b3o10b3o6b3o$513bobo137boobooboo19bo247bo
bbo5bobo16boobo73bo3bo6bo4bobb3o4b3o$513boo138bo3boboo268bobo25boob3o
66boboboobo6boo5boob5ob3o$653bob3obbo268bobo8boo89boo10bobo3b3o4booboo
$551bobo104boo270boo7b4o13bo78bo19bobo6b3o$551boo104b3o270bo5bobo16bob
oobo84b3o6bobbo6bobb3o$552bo381b3obbo12boboobobo72bobbo8b3o7bo10bobo
56bo$590bo343bo3boo8boob3oboboo87bobob4obbo13bo53bobo413bo$589bo66b3o
275bobo10boo7boo90booboo15bo55boo413bo$589b3o64b3o276boo4boo6boboo3boo
75b3o12b6o16bobo466b3o$935bo6boo88bo3bo26boobo6bo$629bo25boo285boo5bo
82booboo25boo3bobbobbo$627boo26bo288bobbobbo80bo4bo19b3o4bobbobbo3bo$
628boo314b4obbo80booboo20bo6bobbobbo3bo$947bo6boo75bo3bo23bo3bo6bobo$
680bo263boo7boo3bo73b3o21bobbo8boo$681bo264bo8boboo98bobbo6b3o$679b3o
251boo6bo15b3o64boobo30bo5bo3bo394bo$933bobo4b5o12bo66bo3bo31boboboobo
393boo$934boo4bobboo14b3o62bo4bo32boo398boo$952boobo4boo9b3o52boo38bo$
942boobbo5boboo3bobo9bobb3o51bobo$952boboo3b3o10bobo88bobbo$944bobo6bo
5b3o15bo52boo$953boo4bobo13bo55bobbo$946b3o4boobboo18bobo$954bobo13boo
bo6bo49boobbo191bobo$948bobo3boo3bo9boo3bobbobbo49bo195boo$954b4o5b3o
4bobbobbo3bo246bo$950bobo10bo6bobbobbo3bo50b3o$952b4o10bo3bo6bobo5boo$
952b4o7bobbo8boo7boo3bo37bo4boo$953boo9bobbo6b3o9boboo36boo$956bo8bo5b
o3bo12b3o35bobobboo$955bobo9boboboobo13bo41b3o$954bo3bo10boo19b3o36bo
bbo$476bo478bobo15bo9boobo4boo31boo$474boo214bo265bo26boboo3bobo31bobo
bboo279bo$475boo212boo264boobo11bobbo3boo4boboo3b3o31bobboboo279bobo$
683bo5bobo262bobobbo16boo6bo5b3o35boo280boo$513bo168boo268bo6bo17bobo
4boo4bobo30bo3b3o$513bobo166bobo3boobobo258bobbobo19b3o4boobboo25boo5b
oo3boo$513boo171bo7boo257boboo20boo6bobo26boo5bo$685bo4bo5boo247bo8bob
o22bobo3boo3bo25bo4bobo$551bobo131bobbobb6o247b5o5bobo28b4o29boobbo$
551boo180b3o208bobboo32bobo34boo$552bo180bobb3o207boobo4b3o26b4o63bo
73bo$590bo107b3o33bobo246b4o61boo74bobo413bo$589bo108bobboo36bo209bobo
32boo63boo73boo413bo$589b3o105booboo35bo801b3o$692boo45bobo209b3o$629b
o61boo4bobo32boobo6bo209b3o$627boo64bobboboo31boo3bobbobbo206b6o$628b
oo65boo13boo13b3o4bobbobbo3bo$695boo4bo7boo14bo6bobbobbo3bo209bo$645b
oo49bo4b3o6bobbo6bo7bo3bo6bobo9boo199bo$645bobo54boo6boobo7bo3bobbo8b
oo11boo200bo$616bo21boo5bo58boobobboo3bo3b3o4bobbo6b3o5boo5bo711bo$
615boo21bobo3boobbo56bobo19bo5bo3bo5boo5boo194b3o3boo507boo$615bobo20b
o11bo54bobbo4bobobo11boboboobo8bo4bobobboo189bo515boo$641bo3boo3b3o47b
o3b3o10bo13boo14boo3boob4o188bobboo$617b3o21boo4boo4bo45boo16bobo15bo
11boo10bo190booboo$616b3o28b7o45bobobo55bo185bo4bo$618bobo27b4o52boo
13bobo10bobbo17bo190b4oboo$620b3o76bobo53boo187bo$620b3o75boobo19b3o
221boo3bo$623bo75bo22b3o23boo194b6o276bobo$620bobbo26bo47bo20b6o24boo
184boo6boo281boo$619bo3bo26bo46b3o48bo186bobo3boobbo281bo$615booboo3bo
69bobbo3boo20bo212bo5b3o$614boo7bo64b3ob3obb5o20bo215bo$616boboobbo65b
o5bobbobo22bo215boo$622bo66bo3bo4bo73boo$619bobo69boobobbo18b3o3boo47b
oo$620bo71bobo21bo56bo$619bo72bobo22bobboo53boo$476bo141bobo99booboo
49bo194bo$474boo142bobo94bo4bo248bobo338bo$475boo140bo96b4oboo52bobbo
192boo339bobo$617boo95bo25bo31boo536boo$513bo103boo96boo3bo18bobo29bo$
513bobo198b6o19bobo6boo17boobbobo$513boo190boo6boo25bo7bobo16bobobbo$
705bobo3boobbo32bo14bo3bobo$551bobo151bo5b3o35boo11boo4boo$551boo155bo
31bo8bobbo9bobo3boo$552bo155boo17boo11boo7bo17b3o280bo73bo$590bo135boo
3bo8bobo8bobob3o7bo3bo278boo74bobo413bo$589bo138boboo10bo16bo4boobbo
280boo73boo413bo$589b3o138b3o7boo11bo9bo775b3o$730bo23b4oboob4o$732b3o
5boo22boo$649bobo73boobo4boo3boobbo$650boo73boboo3bobo5bobo$650bo68boo
4boboo3b3o5b3o$674boo42boo6bo5b3o$674bobo42bobo4boo4bobo$674bo44b3o4b
oobboo731bo$677bo41boo6bobo731boo$677boo42bobo3boo3bo729boo$677boo48b
4o$676boo27bo17bobo$672booboo27boo19b4o$672bo4bo26bobo18b4o$672bob4o
48boo$676boo6b3o17boboboo$676boo6bo19boobboo516bobo$676boo7bo17bobbobo
517boo$678bo8boo538bo$677boo7boobbo$677bo7bo4bo11b3obobo52boo$678bo3b
4o16boobbo54bobo$680boobboo9boob3o5bo55boo$683bo3boo6bo3bo3boo$682boo
11boboobobbo$682bo6boo$476bo206bo6bo278bo$474boo219b3o271bobo338bo$
475boo214boob4o19boo250boo339bobo$691boo23boo592boo$513bo178bobbo22bo$
513bobo204boo$513boo177bobo24bo$687b3o$551bobo133bobboo26bobbo$551boo
135bobobbo23boo$552bo137boobo22bo333bo73bo$590bo100boo19boobbobo329boo
74bobo413bo$589bo101bo20bobobbo331boo73boo413bo$589b3o101boo13bo3bobo
824b3o$707boo4boo66boo$694bobo10bobo3boo66bobo$689bobo20b3o13b3o51boo$
607boo81boo4bobob3o7bo3bo13bobb3o$606boo82bo13bo4boobbo15bobo$577boo
21boo5bo90bo9bo25bo$577bobo19boo5boo91b4oboob4o21bo$577bo23bo4bobobboo
96boo23bobo40boo684bo$578boo23boo3boob4o73bo38boobo6bo38boo683boo$578b
obbo21boo10bo71b5o34boo3bobbobbo32boo5bo684boo$578bo36bo71bobboo28b3o
4bobbobbo3bo31boo5boo$580bobo26bo79boobo27bo6bobbobbo3bo33bo4bobobboo$
584bo26boo110bo3bo6bobo36boo3boob4o$582bobbo106bobo25bobbo8boo39boo10b
o$582bobbo24boo109bobbo6b3o51bo$584b3o22bobo73b3o6b3o25bo5bo3bo46bo$
580b3ob3o24bo68bo4bobb3o4b3o26boboboobo49boo3boo438bobo$576b3oboobb3o
92boo5boob5ob3o28boo58b4o57boo377boo$576bo7boo93bobo3b3o4booboo33bo54b
o4bo56bobo377bo$577bo6boo105bobo86bo4bo4bo56bo$580b5o96b3o6bobbo28boo
3bobbo48boo3boo15boo47bo$582boo96b3o7bo34bo53bobo3bo15bobo46boo$581boo
99bobob4obbo21boo4bo5bo56b5o10bo3boo46boo$581boo101booboo24bobbo3bobb
3obo55b4o10boo50boo$580bobo101b6o24boo4bobboboboo54boo5bo6bobo48boo$
579boo140boo3boo56bo3boo56boobbo$476bo102bobo209bo6boboo22bo18bobb3o
120bo$474boo102bo112b3o98b3ob4obobo19boo17boo125bobo338bo$475boo102boo
110bo101boboobbo3bo19bobo16bobo124boo339bobo$692bo99bobboo6b3o31b3o3bo
466boo$513bo180boo5bo85boo3bobo10bo19b3o9bo6bobbo$513bobo179bo4bo15boo
68boo3bobbo10b3o16b3o11bo4bo$513boo185b3o12boo3bo67bo3bo14bo18bobo11bo
boo3bo$692bo24boboo65boo3bo15b3o18b6o5b5o$551bobo135b4obo24b3o64boo12b
oobo4boo18b7obobo$551boo136bo4bo24bo80boboo3bobo24boo3bobo$552bo137bo
4boo24b3o63boo5boo4boboo3b3o28bobo209bo73bo$692bobb3o24boo61bo7boo6bo
5b3o238boo74bobo413bo$611bo84boo24boo57bobb5o5bobo4boo4bobo13boo224boo
73boo413bo$609bobo81booboo24boo52boobbobo4bobo4b3o4boobboo15bobbo713b
3o$610boo82boboo24boo52bobobo4bo8boo6bobo17bobbo$694bobo25boo52bo3bo
15bobo3boo3bo17bo$695boo26boo57booboo15b4o11b4o3bo$724bo54bo18bobo16b
6o$723bo20boo33booboo16b4o22bo$638boo78boo24bobo53b4o23bo$637boo79bobo
bbobo19boo54boo4b3o15b4o$639bo78bo3bobo82bobb3o4boo4boo638bo$641boo78b
oobbo82bobo6boo5b3obbo631boo$640bo81bobo88bo11b5o632boo$716boo3boo88bo
$639bobbo25boo45boobob3o90bobo49boo38boo38boo$636boobo28bobo46bobo86b
oobo6bo47bobo37bobo37bobo$635boo4bo26bo136boo3bobbobbo49bo39bo39bo$
637bobobbo6bo21bo42boo83b3o4bobbobbo3bo$642bo5boo18bobb3o32b3o5boo3bob
o77bo6bobbobbo3bo$639bobbo5bobo16boobo35bo6bobo86bo3bo6bobo410bobo$
640bobo25boob3o33bo4boo85bobbo8boo413boo$640bobo8boo56b4obo85bobbo6b3o
414bo$641boo7b4o13bo42boo89bo5bo3bo6boo157boo$641bo5bobo16boboobo131bo
boboobo6boo3bo154boo$645b3obbo12boboobobo134boo12boboo$645bo3boo8boob
3oboboo139bo11b3o$645bobo10boo7boo152bo$646boo4boo6boboo3boo95boo40bo
bbo13b3o$646bo6boo109bobo49boobo4boo$476bo176boo5bo104boo49boboo3bobo$
474boo179bobbobbo148boo4boboo3b3o484bo$475boo178b4obbo18b3o126boo6bo5b
3o484bobo$658bo21bo129bobo4boo4bobo484boo$513bo141boo24bo128b3o4boobb
oo$513bobo52b3o86bo25boo125boo6bobo$513boo53bo83bo31bo127bobo3boo3bo$
539boo20b3o6bo80b5o162b4o$538boo11bobo7bo6bobo80bobboo25boo80boo49bobo
$539bobo9boo9bo4boob4o107boo80bobo50b4o$539b3o10bo11b4ob5oboo76boobbo
22bobo73boo5bo52b4o230bo73bo$539boo24boo7boobo98booboo75bobo3boobbo50b
oo229boo74bobo413bo$541bobo107bo3bobo17booboobo74bo11bo280boo73boo413b
o$649bobo19boo3boboo79bo3boo3b3o226boo540b3o$543bobo104boo5b3o11bobobb
obbo79boo4boo4bo225boo$545b3o123bo7bo13bo71b7o$545bo113bobo3bo10bobbo
12b5o69b4o$544bo120bo7b4obo13bobboo76bo$539boboobo4bo111bobobo7boo19b
oobo74b4o8boo48bo$538booboobo118b3ob3obo104bo7bobo46boo$538bobo4bo117b
3o5bobbo22bobo71b6o8boo46bobo$543boo119boo8bo90b3o3boboo688bo$543bo3bo
103boobo35b3o6b3o63bo5bobo62boo623boo$542bo3bo104bo3bo29bo4bobb3o4b3o
63bobbooboo62boo624boo$651bo4bo27boo5boob5ob3o65bo14b3o$542bobbo107boo
29bobo3b3o4booboo69bo3bo7bo50boo$541boobo110bobo38bobo70boo4bobo8bo46b
obbo$541bo144b3o6bobbo76bo7bo4bo43boobo$540boo108bo6boo26b3o7bo81b3o4b
3o22b3o16b3o$540bo108b5o4bobbo25bobob4obbo81boboo5bobo18bo18bo$541bo
101boo4bo6boo31booboo87bo8bo21bo11boo3bo396bobo$643bobo11bo31b6o78boo
3b3o10bo17bobbo10boo5boboo392boo$643bo5boboo6bobo111bobobboo12bo17bobb
o11bo5b3o393bo$644boo4bo4bobo115bo4bo13bobo16bo15bob4o184boo$644bobbo
6b3o19boo7b3o88bobo34bobobboo6bobboo186boo$644bo6booboo19bobbo6bobo84b
oo13bo6boo19boobobbo3boo$646bobobobbo22boo7bo86boo12b5o4bobbo22bobob3o
$686boobo83boo5boo4bo6boo15b3o8bobo$648bo4bo36bo80bo8bobo11bo8bo6b4obb
obo$649b4o118b4o5bo5boboo6bobo3bobo3b3o3bo$476bo179bo29bo76bobb3obo4bo
5boo4bo4bobo8bo4b5obbo$474boo179boo7bobo19bobo73boobbob4o3bo5bobbo6b3o
8bo4bobbo3bo495bo$475boo178bobo6boo21bo74bobobobobbo9bo6booboo13boobo
bboo496bobo$665bo100b3obboo10bobobobbo9boo3boboob3o497boo$513bo144boo
105boobo32boboo5bo$513bobo142boo19b3o84boboo15bo4bo11boo$513boo164bobb
3o101b4o$566b3o85boboo22bobo111boo$566bo13bo72b4o28bo107boo3bo$559b3o
6bo12boo70bo3boo24bo111boboo$559bo6bobo11boo76bobbo23bobo109b3o250bo
73bo$560bo4boob4o116bo108bo250boo74bobo413bo$562b4ob5oboo82boo3bo22bo
bbo110b3o43bo39bo39bo39bo39bo39bo3boo73boo413bo$563boo7boobo81boo3bo
22bobbo103boobo4boo43boo38boo38boo38boo38boo30boo6boo492b3o$611boo45bo
26bobbo103boboo3bobo42bobo37bobo37bobo37bobo37bobo30boo5bobo$576bo33b
oo3bo42bo127boo4boboo3b3o$576bo35boboo43boo25bobo17boo77boo6bo5b3o$
575bobboo34b3o71bo17bobo77bobo4boo4bobo$575boboobo33bo92boo77b3o4boobb
oo$569boo4boo39b3o63boo4bo97boo6bobo$569bobobb3o32boobo4boo62boo4boo
99bobo3boo3bo4boobo$569bo3bo35boboo3bobo64bobboboo104b4o6bo3bo654bo$
572boo3bo9boo14boo4boboo3b3o66booboo100bobo11bo4bo651boo$572bo4bo9bobo
12boo6bo5b3o173b4o10boo654boo$579bo7bo15bobo4boo4bobo9boo49b3obbo107b
4o12bobo$573boo4boo7b3o12b3o4boobboo12bobo48bobb3obo106boo$582boo4bob
3o10boo6bobo7boo5bo51b6o117bo6boo$582b3obo4bo13bobo3boo3bo4bobo3boobbo
170b5o4bobbo$589boobbo17b4o6bo11bo37bo6boo116boo4bo6boo$582bo3bo6bobo
11bobo14bo3boo3b3o34boo5bobbo115bobo11bo$576b3obboobo24b4o11boo4boo4bo
33bobo3boobo116bo5boboo6bobo251bo159bobo$576bo4boo12bobo11b4o17b7o37bo
122boo4bo4bobo254bobo158boo$578bobboo27boo19b4o38bo123bobbo6b3o254bobb
o159bo$576bobo18bobo73bobbo120bo6booboo248boo6boo$576boo22bo198bobobo
bbo250boo$576bobo18bobbo8boo$597bobbo7bobo115boo73bo4bo$574boo21bobbo
9bo115bobo73b4o$571bobbooboo148boo$566booboo3bobbo20bobo$476bo88boo3bo
29bo11bo$474boo91bobobobb3o31boobo3bo33boo659bo$475boo117boo4bo7boo6bo
32bobo658bobo$569b3obbo18boo4boo15bo32bo660boo$513bo55boo24bobboboo10b
oobbo35bo$513bobo81booboo12bo37boo$513boo97b3o37boo$591b3obbo15bobo36b
oo$591bobb3obo13bo37boo76bo$592b6o13b3o34boobbo74boo$611b3o12bo18bobb
3o70bo5bobo356bo37bo$583bo6boo19bobbo10boo17boo74boo363bobo36bobo413bo
$531bo50boo5bobbo19bobo10bobo16bobo73bobo3boobobo352bobbo36boo413bo$
530boo50bobo3boobo20b3o24b3o3bo78bo7boo343boo6boo452b3o$524bo5bobo53bo
40b3o9bo6bobbo73bo4bo5boo341boo$500b3o20boo60bo18boobo18b3o11bo4bo77bo
bbobb6o$500bo22bobo3boobobo50bobbo15bo3bo19bobo11boboo3bo96boo$503bo
23bo7boo67bo4bo20b6o5b5o100bobo$500bobbo22bo4bo5boo67boo22b7obobo95b3o
8boo$501bobbo21bobbobb6o70bobo25boo3bobo92bobboo56b3o$502bo137bobo92b
ooboo57bo$504bobo96bo6boo118boo66bo664bo$506boo94b5o4bobbo114boo4bobo
62boo659boo$507bo88boo4bo6boo120bobboboo63bo660boo$506boo22b3o63bobo
11bo122boo13boo$505b3o24bo63bo5boboo6bobo118boo4bo7boo49boo$500booboob
oo23bo65boo4bo4bobo123bo4b3o6bobbo46boo$500bo3boboo89bobbo6b3o130boo6b
oobo45bobo$500bob3obbo89bo6booboo133boobobboo3bo20boo17booboo$505boo
92bobobobbo136bobo27boo17booboobo$504b3o31bo204bobbo4bobobo18bobo11boo
3boboo309bo119bobo$537boo62bo4bo23boo106bo3b3o10bo18b3o11bobobbobbo
308bobo118boo$537bobo62b4o24bobo104boo16bobo16boo12bo7bo307bobbo119bo$
503b3o125boo104bobobo34bobo3bo10bobbo300boo6boo$503b3o34boo200boo13bob
o22bo7b4obo301boo$540boo195bobo38bobobo7boo$502boo232boobo10b3o6b3o7b
oobo7b3ob3obo$502bo33boboo27b3o167bo7bo4bobb3o4b3o3boboob3o6b3o5bobbo$
535b4o28bo168bo7boo5boob5ob3obb3obo4bo6boo8bo$535bo3boo27bo166b3o6bobo
3b3o4booboobbo4bob3o$476bo63bobbo4boo21boo158bobbo3boo16bobo6b3oboobo$
474boo71boo18b3obbo153b3ob3obb5o6b3o6bobbo7boboo540bo$475boo62boo3bo4b
o16bo159bo5bobbobo7b3o7bo554bobo$539boo3bo22bobbobo154bo3bo4bo10bobob
4obbo552boo$531bo8bo9b3o17bobo156boobobbo13booboo$532bo7bo7bob4o12bo
163bobo16b6o$530b3o8boo3b6o13boobobo159bobo$544boo4boo7boboo3bo3bo187b
oobo$544boo4bo7boobooboboo190bo3bo$545bo7bo4bobo3bobo191bo4bo360bo$
545bo7bo13bo192boo361bobo$546boo4bo97boo110bobo359bo415bo$554bo4bobo
88bobo886bo$555boboobo19boo69boo104bo6boo38b3o37b3o37b3o37b3o37b3o37b
3o37b3o37b3o30boo420b3o$555boo23bobo173b5o4bobbo37bo39bo39bo39bo39bo
39bo39bo39bo30boobboo$555bobboo20bo169boo4bo6boo40bo39bo39bo39bo39bo
39bo39bo39bo35bobo$556boo25bo166bobo11bo357bo$555b3o25boo165bo5boboo6b
obo$551boobbo27boo166boo4bo4bobo$550boobboo26boo167bobbo6b3o$552bobboo
24boo168bo6booboo6bo$554bo24boobbo169bobobobbo7b5o690bo$554boo20bobb3o
186bobboo688boo$575boo178bo4bo9boobo688boo$555b3o17bobo178b4o$557bo12b
3o3bo196bobo$557b3o10bo6bobbo$559bo11bo4bo15boo172b3o6b3o$559b3o11bob
oo3bo10boo3bo164bo4bobb3o4b3o$561b6o5b5o16boboo163boo5boob5ob3o365bo$
561b7obobo23b3o162bobo3b3o4booboo365bobo80bobo$567boo3bobo20bo74boo
100bobo369bo81boo$571bobo23b3o70bobo89b3o6bobbo452bo$590boobo4boo71boo
88b3o7bo365boo$550b3o37boboo3bobo163bobob4obbo363boobboo$550bobb3o10b
oo16boo4boboo3b3o165booboo371bobo$551bobo12boo15boo6bo5b3o165b6o371bo$
556bo7bo3bo15bobo4boo4bobo$554bo8b4o17b3o4boobboo$556bobo4booboo16boo
6bobo$476bo72boobo6bo3bo6boo14bobo3boo3bo$474boo72boo3bobbobbo11boo19b
4o714bo$475boo65b3o4bobbobbo3bo10boo16bobo719bobo$542bo6bobbobbo3bo10b
o19b4o716boo$545bo3bo6bobo31b4o$542bobbo8boo35boo$543bobbo6b3o$544bo5b
o3bo$546boboboobo$548boo614bo$552bo610bobo$690boo472bo375bo$549bobbobb
oo133bobo846bo$554boo135boo464boo380b3o$556bo600boobboo$558boo601bobo$
557bo21boobo579bo$579bo3bo$556bobbo19bo4bo11boo$553boobo24boo13bobo$
552boo4bo24bobo11boo$554bobobbo903bo$559bo25boo874boo$556bobbo26bobbo
872boo$557bobo$557bobo25boobbo$558boo25bo$558bo$586b3o$1184bo$582bo4b
oo594bobo40bobo$581boo127boo472bo41boo$581bobobboo122bobo514bo$585b3o
123boo464boo$584bobbo589boobboo$579boo600bobo$579bobobboo596bo$579bobb
oboo$583boo31boo$578bo3b3o31bobo$476bo93boo5boo3boo33boo$474boo93boo5b
o733bo$475boo94bo4bobo731bobo$573boobbo732boo$573boo5$1204bo$1203bobo$
730boo472bo335bo$730bobo806bo$731boo464boo340b3o$1197boobboo$1201bobo$
1202bo$$636boo$636bobo$637boo$1463bo$1461boo$1462boo7$492boo730boo$
492bobo255boo471bo$463bo21boo5bo257bobo471boo$462boo21bobo3boobbo255b
oo464boo$462bobo20bo11bo719boobboo$488bo3boo3b3o721bobo$464b3o21boo4b
oo4bo721bo$463b3o28b7o$465bobo27b4o157boo$467b3o186bobo$467b3o6bo180b
oo$470bo3boo834bo$467bobbo4boo833bobo$466bo3bo839boo$462booboo3bo$461b
oo7bo$463boboobbo$469bo$466bobo$467bo$466bo$465bobo302boo768bo$465bobo
302bobo766bo$464bo306boo464boo300b3o$464boo771boobboo$464boo775bobo$
1242bo$$676boo$676bobo$677boo$1463bo$1461boo$1462boo8$790boo$490boo
298bobo$490bobo288boo8boo464boo$483boo5bo290bobo473boobboo$483bobo3boo
bbo280boo5bo479bobo$483bo11bo278bobo3boobbo477bo$486bo3boo3b3o276bo11b
o$486boo4boo4bo197boo79bo3boo3b3o$492b7o36bo160bobo78boo4boo4bo$493b4o
37b5o158boo84b7o$500bo9bobo21bobboo245b4o522bo$499b4o8boo23boobo251bo
518bobo$503bo7bo278b4o58bo457boo$498b6o35bobo252bo56boo$492b3o3boboo
287b6o56bobo$492bo5bobo31b3o6b3o239b3o3boboo$493bobbooboo26bo4bobb3o4b
3o238bo5bobo62boo$495bo14b3o13boo5boob5ob3o239bobbooboo62boo$498bo3bo
7bo15bobo3b3o4booboo242bo14b3o$496boo4bobo8bo24bobo10b3o235bo3bo7bo50b
oo$502bo7bo4bo12b3o6bobbo10bo235boo4bobo8bo5boo39bobbo685bo$504b3o4b3o
13b3o7bo6b3o6bo239bo7bo4bo3bobo37boobo685bo$506boboo5bobo11bobob4obbo
4bo6bobo241b3o4b3o6boo14b3o16b3o428boo260b3o$508bo8bo13booboo9bo4boob
4o240boboo5bobo18bo18bo430boobboo$500boo3b3o10bo12b6o10b4ob5oboo239bo
8bo21bo11boo3bo433bobo$500bobobboo12bo28boo7boobo230boo3b3o10bo17bobbo
10boo5boboo430bo$500bo4bo13bobo269bobobboo12bo17bobbo11bo5b3o$503bobo
210boo73bo4bo13bobo16bo15bob4o$499boo20boo193bobo75bobo34bobobboo6bobb
oo$499boo21bobbo191boo71boo13bo6boo19boobobbo3boo$500boo37b3o248boo12b
5o4bobbo22bobob3o617bo$498bo22boobbo15bo249boo5boo4bo6boo26bobo619boo$
498b4o19bo18bo248bo8bobo11bo21bobo625boo$490bobb3obo4bo286b4o5bo5boboo
6bobo$489boobbob4o3bo19b3o256bobb3obo4bo5boo4bo4bobo$489bobobobobbo
281boobbob4o3bo5bobbo6b3o$493b3obboo18bo4boo47b3o205bobobobobbo9bo6boo
boo$492boobo21boo53bo211b3obboo10bobobobbo$493boboo20bobobboo12bo36bo
209boobo$521b3o11bobo37boo207boboo15bo4bo$520bobbo11bobo38bo227b4o$
515boo19bo275boo$515bobobboo51boo236boo3bo480boo$515bobboboo18b3o30boo
238boboo480boobboo$519boo51bobo240b3o9bo473bobo$514bo3b3o20boo6boo17b
ooboo242bo11boo5bob4o462bo$506boo5boo3boo28boo17booboobo243b3o6b3o3b3o
boobbo38bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo$505boo5bo25b3o8bobo
11boo3boboo164boo72boobo4boo6bobo3bobobb3o39boo38boo38boo38boo38boo38b
oo38boo38boo38boo38boo38boo$507bo4bobo24boo8b3o11bobobbobbo164bobo71bo
boo3bobo8bo49bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bob
o37bobo$509boobbo24boobo7boo12bo7bo165boo65boo4boboo3b3o7boobbooboo$
509boo16b3o21bobo3bo10bobbo231boo6bo5b3o11bobo481boo$527bobb3o8b3o13bo
7b4obo233bobo4boo4bobo11boboo479bobbo$528bobo10boo10bobobo7boo237b3o4b
oobboo13bo3boo478bobbo$533bo6boo13b3ob3obo240boo6bobo16bobboo479boo$
531bo8bo14b3o5bobbo239bobo3boo3bo4boobo6b3o$533bobo20boo8bo245b4o6bo3b
o$526boobo6bo271bobo11bo4bo$525boo3bobbobbo273b4o10boo$519b3o4bobbobbo
3bo273b4o12bobo$519bo6bobbobbo3bo274boo$522bo3bo6bobo285bo6boo710bo$
519bobbo8boo287b5o4bobbo706bo$520bobbo6b3o281boo4bo6boo488boo220b3o$
521bo5bo3bo282bobo11bo488boobboo$523boboboobo283bo5boboo6bobo488bobo$
525boo288boo4bo4bobo493bo$529bo285bobbo6b3o$756boo57bo6booboo$526bobbo
226bobo58bobobobbo$557boo198boo$557bobo259bo4bo510boo126bo$558boo260b
4o510bobbo123boo$1334bobbo124boo$1335boo9$1337boo$1337boobboo$1341bobo
$1342bo$$776boo$776bobo$577boo198boo$577bobo775boo$578boo774bobbo$
1354bobbo$1355boo7$1540bo$1539bo$1357boo180b3o$1357boobboo$1361bobo$
1362bo$$796boo$796bobo$597boo198boo$597bobo775boo86bo$598boo774bobbo
83boo$1374bobbo84boo$1375boo9$1377boo$1377boobboo$1381bobo$1382bo$$
816boo$816bobo$617boo198boo$617bobo775boo$618boo774bobbo$1394bobbo$
1395boo7$1540bo$1539bo$1397boo140b3o$1397boobboo$1401bobo$1402bo$$836b
oo$836bobo$637boo198boo$637bobo775boo46bo$638boo774bobbo43boo$1414bobb
o44boo$1415boo9$1417boo$1417boobboo$1421bobo$1422bo$$856boo$856bobo$
657boo198boo$657bobo775boo$658boo774bobbo$1434bobbo$1435boo7$1540bo$
1539bo$1437boo100b3o$1437boobboo$1441bobo$1442bo$$876boo$876bobo$677b
oo198boo$677bobo775boo6bo$678boo774bobbo3boo$1454bobbo4boo$1455boo9$
1457boo$1457boobboo$1461bobo$1462bo$$896boo$896bobo$697boo198boo$697bo
bo$698boo6$1477bo$1476bobo$1477bo$1540bo$1539bo$1477boo60b3o$1477boobb
oo$1481bobo$1482bo$$916boo$916bobo$717boo198boo$717bobo$718boo$$911boo
$910boo$904boo5bo$903boo5boo$905bo4bobobboo580bo$907boo3boob4o577bobo$
907boo10bo577bo$919bo$913bo$915boo3boo575boo$920b4o57boo514boobboo$
919bo4bo56bobo517bobo$914bo4bo4bo56bo520bo$913boo3boo64bo$913bobo3bo
16boo46boo$917b5o10bo3bobo45boo$737boo178b4o10boo4boo44boo$737bobo177b
oo5bo6bobo48boo$738boo178bo3boo56boobbo$925bo6boboo22bo18bobb3o$926b3o
b4obobo19boo17boo$927boboobbo3bo19bobo16bobo$926bobboo6b3o31b3o3bo$
921boo3bobo10bo19b3o9bo6bobbo$920boo3bobbo10b3o16b3o11bo4bo539bo$922bo
3bo14bo18bobo11boboo3bo534bobo$920boo3bo15b3o18b6o5b5o539bo$920boo12b
oobo4boo18b7obobo567bo$934boboo3bobo24boo3bobo563bo$739boo180boo5boo4b
oboo3b3o28bobo542boo20b3o$738boo179bo7boo6bo5b3o573boobboo$732boo5bo
175bobb5o5bobo4boo4bobo577bobo$731boo5boo170boobbobo4bobo4b3o4boobboo
18bo562bo$733bo4bobobboo165bobobo4bo8boo6bobo20b3o$735boo3boob4o163bo
3bo15bobo3boo3bo19bo$735boo10bo168booboo15b4o21bo$747bo9boo154bo18bobo
18bo$741bo15bobo153booboo16b4o15bobo$743boo3boo8boo174b4o15bobboo4boo$
748b4o57boo124boo4b3o9b3obo4boo$747bo4bo56bobo129bobb3o7bobb3obb3o$
742bo4bo4bo56bo132bobo12boo5boo$741boo3boo64bo134bo4boo4b3obo3bo$741bo
bo3bo64boo131bo13boo4bo$745b5o10bo51boo133bobo10bobboo36boo38boo38boo
38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo14bo$745b4o10b
oo50boo127boobo6bo11bo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo
37bobo37bobo37bobo37bobo37bobo37bobo13bobo$745boo5bo6bobo48boo127boo3b
obbobbo51bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo14bo$
746bo3boo56boobbo120b3o4bobbobbo3bo$753bo6boboo22bo18bobb3o122bo6bobbo
bbo3bo$754b3ob4obobo19boo17boo130bo3bo6bobo587boo$755boboobbo3bo19bobo
16bobo126bobbo8boo590boobboo$754bobboo6b3o31b3o3bo128bobbo6b3o594bobo$
749boo3bobo10bo19b3o9bo6bobbo125bo5bo3bo6boo588bo$748boo3bobbo10b3o16b
3o11bo4bo131boboboobo6boo3bo$750bo3bo14bo18bobo11boboo3bo129boo12boboo
$748boo3bo15b3o9bo8b6o5b5o137bo11b3o$748boo12boobo4boo7b4o7b7obobo154b
o596boo$762boboo3bobo6boobobo12boo3bobo136bobbo13b3o591bobbo$749boo5b
oo4boboo3b3o5bobo3boo15bobo147boobo4boo591bobo$747bo7boo6bo5b3o4boo3bo
bo166boboo3bobo592bo$743bobb5o5bobo4boo4bobo5boboboo161boo4boboo3b3o$
738boobbobo4bobo4b3o4boobboo9b4o161boo6bo5b3o$738bobobo4bo8boo6bobo12b
o164bobo4boo4bobo$738bo3bo15bobo3boo3bo174b3o4boobboo$744booboo15b4o
176boo6bobo602bo$741bo18bobo183bobo3boo3bo598bobo$741booboo16b4o186b4o
601bo$762b4o182bobo$763boo4b3o178b4o$769bobb3o175b4o603boo$770bobo178b
oo604boobboo$775bo785bobo$773bo788bo$775bobo37boo38boo38boo38boo38boo
38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo38boo
$768boobo6bo35bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bo
bo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo37bobo$767boo3bobbo
bbo37bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39bo39b
o39bo39bo$761b3o4bobbobbo3bo$761bo6bobbobbo3bo$764bo3bo6bobo$761bobbo
8boo795boo$762bobbo6b3o794bobbo$763bo5bo3bo6boo788boo$765boboboobo6boo
3bo$767boo12boboo$771bo11b3o791bo$783bo792bobo$768bobbo13b3o789bo$778b
oobo4boo$778boboo3bobo$772boo4boboo3b3o789boo$771boo6bo5b3o789boobboo$
772bobo4boo4bobo793bobo$772b3o4boobboo797bo$772boo6bobo$774bobo3boo3bo
$780b4o$776bobo$778b4o$778b4o$779boo809boo$1589bobbo$1590boo3$1597bo$
1596bobo$1597bo3$1597boo$1597boobboo$1601bobo$1602bo7$1610boo$1609bobb
o$1610boo3$1617bo$1616bobo$1617bo3$1617boo$1617boobboo$1621bobo$1622bo
7$1630boo$1629bobbo$1630boo3$1637bo$1636bobo$1637bo3$1637boo$1637boobb
oo$1641bobo$1642bo20boo$1651b3o9bobo$1651bobb3o6bo9bo$1652bobo16boobo$
1657bo4boobbo3boobbo$1655bo6boobboboobbo$1657boboobo3b5o$1650boo14boo$
1649bobbo5bobb6o$1650boo7b7o26b3o$1661b3o28bobb3o$1693bobo$1657bo40bo$
1656bobo37bo$1657bo40bobo$1691boobo6bo$1690boo3bobbobbo$1657boo25b3o4b
obbobbo3bo$1657boobboo21bo6bobbobbo3bo$1661bobo23bo3bo6bobo$1662bo21bo
bbo8boo$1685bobbo6b3o$1686bo5bo3bo$1688boboboobo$1690boo8bo10boo$1694b
o4b5o6boo$1699bobboo8bo7boo$1670boo19bobbo6boobo5boo6b3obo$1669bobbo
37boo3boboo$1670boo32bobo6boo$1709b3obo4bo$1706b3o3bo4bo$1677bo29bo7bo
$1676bobo28bo6bo$1677bo$1710bo$$1677boo$1677boobboo$1681bobo$1682bo7$
1690boo$1689bobbo$1690boo3$1697bo$1696bobo$1697bo3$1697boo$1697boobboo
$1701bobo$1702bo7$1710boo$1709bobbo$1710boo3$1717bo$1716bobo$1717bo3$
1717boo$1717boobboo$1721bobo$1722bo7$1730boo$1729bobbo$1730boo3$1737bo
$1736bobo$1737bo3$1737boo$1737boobboo$1741bobo$1742bo7$1750boo$1749bo
bbo$1750boo3$1757bo$1756bobo$1757bo3$1757boo$1757boobboo$1761bobo$
1762bo7$1770boo$1769bobbo$1770boo3$1777bo$1776bobo$1777bo3$1777boo$
1777boobboo$1781bobo$1782bo7$1790boo$1789bobbo$1790boo3$1797bo$1796bob
o$1797bo3$1797boo$1797boobboo$1801bobo$1802bo7$1810boo$1809bobbo$1810b
oo3$1817bo$1816bobo$1817bo3$1817boo$1817boobboo$1821bobo$1822bo7$1830b
oo$1829bobbo$1830boo3$1837bo$1836bobo$1837bo3$1837boo$1837boobboo$
1841bobo$1842bo7$1850boo$1849bobbo$1850boo3$1857bo$1856bobo$1857bo3$
1685boo170boo$1684boo171boobboo$1686bo174bobo$1688boo172bo$1687bo$$
1686bobbo$1683boobo$1682boo4bo$1684bobobbobb3o$1689bobbo177boo$1686bo
bbo3bo175bobbo$1687bobo3bo176boo$1687bobobboo$1688boobb3o$1688bo188bo$
1694boboboboo174bobo$1695boo3b3o174bo$1696bo6bo$1700boobo$1701boo174b
oo$1701boo174boobboo$1701boo178bobo$1702bo179bo6$1748boo$1748bobo139b
oo$1742boo4bo140bobbo$1742bobo4bobo138boo$1742bo6b3o14boo$1745bo19boo$
1745boobobbo8boo4bobo128bo$1748b4o7boo5boobo126bobo$1740boo8bobbo7bo5b
obo127bo$1740bobbo5bob3o9boobbobo$1740bo3b4ob3o11b4obbo$1742bo6bo15boo
bboo126boo$1743b5o3b3o4boo6bo4bo125boobboo$1710boo32boobobo7boo3b3oboo
3bo129bobo$1710bobo35bo10bob4obbobo132bo$1710bo56bo$1711boo48bo3bobbob
o$1711bobbo46bo3bo4bo$1711bo54bo$1713bobo$1717bo$1715bobbo191boo$1715b
obbo190bobbo$1717b3o190boo$1713b3ob3o$1709b3oboobb3o$1709bo7boo198bo$
1710bo6boo56boobbo136bobo$1713b5o56boo141bo$1715boo59booboobo$1714boo
62bobobbo$1714boo61bob5o133boo$1713bobo60boob3o135boobboo$1712boo62boo
143bobo$1712bobo61bobbo142bo$1711bo55bo7booboboo$1712boo52boo6bo3boo3b
o$1766bobobb4oboo5bo$1768bob3o3bo5bobbo$1769bo4boo$1766boboboobobo7b4o
$1768b4obbo155boo$1770boobbo9b5o140bobbo$1768bobo6bo9b3oboo137boo$
1769boo4boobbo7bobobobo$1779bobo4bo$1777bobobo4boo13boo134bo$1779bobo
bbooboob3o8bobo132bobo$1781b3oboobo6bo5bobo133bo$1781boo3boobo3bob3o4b
3o$1782boo4bobo3bo7bobo$1786bobbobboo8b3o132boo$1726b3o53boobbo6bo8boo
133boobboo$1726bo55bo3bo3bo12bo137bobo$1727bo55bo4boboo5bo4b3o137bo$
1729boo58bo6b5o6bo$1730bo3boo51boo7bo6booboo$1733boo53bo$1736boo50bo7b
oboo$1730b6o61bo$1730bobboobo53bo15boo$1717boo13bo4bo51b5obboobo6bobo
141boo$1717bobo10bo6bo51bobboobb4o6bo142bobbo$1717bo11bo61bobo3boobboo
boo144boo$1720bo7boo3bo6boo50bo11bo$1720boobboobobb3o7bobo46bobbob3o3b
o$1724bo5bo9bo28boobbo18bobboobbo4bo5bo146bo$1724bobo3bo12bo24boo20b3o
bbo3bo9boo145bobo$1722boboo3bo13boo25booboobo14bobobob3oboo6bob5o141bo
$1721booboo17boo27bobobbo13bo3b4o3bobboo5bo4bo$1721bobbo17boo27bob5o
13bobo3bo7bobbobbo5bo$1723bobo12booboo27boob3o21bo6bobboo10bo137boo$
1723bobboo10bo4bo26boo24bo9bo6booboobbo136boobboo$1738bob4o26bobbo23bo
14boobboo3bo139bobo$1742boo17bo7booboboo38bobo145bo$1742boo16boo6bo3b
oo3bo38bobbobo$1742boo16bobobb4oboo5bo38boo3bo$1744bo17bob3o3bo5bobbo
37b3o$1743boo18bo4boo47bo$1743bo16boboboobobo7b4o38bo$1744bo17b4obbo
50bo$1764boobbo9b5o187boo$1762bobo6bo9b3oboo182bobbo$1763boo4boobbo7bo
bobobo182boo$1773bobo4bo$1771bobobo4boo$1773bobobbooboob3o190bo$1775b
3oboobo6bo186bobo$1775boo3boobo3bob3o185bo$1776boo4bobo3bo$1780bobbobb
oo$1776boobbo6bo189boo$1776bo3bo3bo192boobboo$1777bo4boboo195bobo$
1783bo198bo$1781boo$1782bo$1782bo4$1990boo$1989bobbo$1990boo3$1997bo$
1996bobo$1997bo3$1997boo$1997boobboo$1732boo267bobo$1732bobo267bo$
1732bo$1735bo$1735boo$1735boo$1734boo$1730booboo$1730bo4bo274boo$1730b
ob4o4boo267bobbo$1734boo3boobo267boo$1734boo4bo$1734boo4bobo$1736bobb
oobo274bo$1735boo279bobo$1735bo4bo3bo272bo$1736bo4bo4boo$1742bobo3boo$
1743bo5b3o265boo$1746b3o268boobboo$1748bo272bobo$1749bo3bo268bo$1748bo
32boo$1749bobbo27boo$1750bo23boo5bo$1773boo5boo$1775bo4bobobboo$1777b
oo3boob4o$1751boo24boo10bo240boo$1750boo37bo239bobbo$1752bo30bo246boo$
1785boo$$2037bo$2036bobo$2037bo3$2037boo$2037boobboo$1749boo290bobo$
1749bobo290bo$1749bo$1750boo$1750bobbo$1750bo$1752bobo$1756bo$1754bobb
o292boo$1754bobbo291bobbo$1756b3o291boo$1752b3ob3o$1748b3oboobb3o$
1748bo7boo299bo$1749bo6boo298bobo$1752b5o300bo$1754boo$1753boo$1753boo
302boo$1752bobo302boobboo$1751boo308bobo$1751bobo308bo$1750bo$1751boo
5$2070boo$2069bobbo$2070boo3$2077bo$2076bobo$1782boo293bo$1782bobo$
1782bo$1783boo292boo$1783bobbo290boobboo$1783bo297bobo$1785bobo294bo
285boo$1789bo577bobo$1787bobbo578bo$1787bobbo$1789b3o$1785b3ob3o$1781b
3oboobb3o$1781bo7boo299boo$1782bo6boo298bobbo$1785b5o300boo$1787boo$
1786boo57boo$1786boo45b3o9bobo249bo$1785bobo45bobb3o6bo9bo240bobo$
1784boo48bobo16boobo240bo$1784bobo52bo4boobbo3boobbo$1783bo53bo6boobbo
boobbo$1784boo53boboobo3b5o244boo$1798b3o47boo247boobboo$1798bo5boobo
32bobb6o252bobo$1801b3o3bo33b7o254bo$1798bo3b3o3bo34b3o$1799bobo3bo$
1800boboo$1802bobb3o$1792b3o3boob3o5boo$1792bobb4o3bobbo3boo64boo$
1793boob3o75boobo232boo$1792b3o4b3obb4o67bo233bobbo$1785bo14bo3bobo68b
obbo231boo$1784b6o12bo3boo67bo3bo$1784bo7boo12boo67bobbo$1785bo6bo8boo
314bo$1787bobobbo8boo5bo307bobo$1788bo4bo5boboo4b3o60boobobb3o238bo$
1793boo3b3o6bobo60boboobbobb3o$1793boo3bobo8boo59boboo6boo$1808boo61bo
245boo$1804b3o64boo244boobboo$1804bobbo63boo248bobo$1806bo56boobo3b3o
7boo240bo$1805boo3boo51bo3bobbobbo5boo$1805boo3bobo50bo4bo4boo5boo$
1805b3obbo54bobobbobbo3b3o$1810bo54boob4o3bob3o$1807boboob3o50boobobo$
1809boo5bo47bobo6boo8boo$1808b3o6bo46bobbobobobo9bobb3o241boo$1814bobo
52bo3b4o6bob4o240bobbo$1810boboo50boo3bo3boboobboo3bo3bobo239boo$1866b
o11boobbo9bo$1870boo7b4o7b3o$1870boo9bo4b7obo242bo$1886bo249bobo$1887b
obbo3bo242bo$1890bo3bo$1890bobbo$2137boo$1891bobo243boobboo$1892bo248b
obo$2142bo7$2150boo$2149bobbo$2150boo3$2157bo$2156bobo$2157bo3$2157boo
$2157boobboo$2161bobo$2162bo3$1868b3o$1868bo5boobo$1871b3o3bo$1868bo3b
3o3bo$1869bobo3bo294boo$1870boboo295bobbo$1872bobb3o292boo$1862b3o3boo
b3o5boo$1862bobb4o3bobbo3boo$1863boob3o42bobo263bo$1862b3o4b3obb4o32bo
265bobo$1855bo14bo3bobo32boobboobo260bo$1854b6o12bo3boo30bobboobobbo$
1854bo7boo12boo29bobbo3bo$1855bo6bo8boo34bo4bo10b3o251boo$1857bobobbo
8boo5bo28bo3b3obobo5bo253boobboo$1858bo4bo5boboo4b3o27bo5bob3o7bo255bo
bo$1863boo3b3o6bobo30bobobo5boobbo257bo$1863boo3bobo8boo27b3obboo4bobo
boo$1878boo35bo7boo$1874b3o37boboobo$1874bobbo47boo$1876bo39bo7b3o$
1875boo3boo33bo6boobo$1875boo3bobo13boo16boobo4boo4boo260boo$1875b3obb
o15bobb3o13bobo3bo5bo261bobbo$1880bo15bob5obo6b3obobobooboo4boo260boo$
1877boboob3o12bo6boo5bo7booboo$1879boo5bo10bo5b3o6booboo4boo$1878b3o6b
o9bobbobbo16bobo274bo$1884bobo13b4o18boo272bobo$1880boboo6boobobbo7bo
bbo15bo273bo$1890boboobboobo3bobbobo$1890boboo3bo5bobbobo$1891bo4bo5b
oo293boo$1891boo3bo3bobo294boobboo$1882boobbo4boo6bob3o297bobo$1881boo
4bobboo6b4o300bo$1883boobobb3o7boo3boo$1885boobbo9bobo$1892bo6bobobboo
bo$1889bobbo3boo6boobo$1890bo4boo9bo$1891bo5bo8bobo$1902boobbobo301boo
$1902bo306bobbo$1902bo307boo$1904b3o$1904b6o$1904bo312bo$1904boo3bo
306bobo$1904boobbo308bo$1905b3obb3o$1907bo4bobo$1907b4obobo302boo$
1907b4obobo302boobboo$1910bo310bobo$2222bo7$2230boo$2229bobbo$2230boo
3$2237bo$1837boo397bobo$1837bobo397bo$1837bo$1838boo$1838bobbo395boo$
1838bo398boobboo$1840bobo398bobo$1844bo397bo$1842bobbo$1842bobbo396boo
$1844b3o394bobo$1840b3ob3o396bo$1836b3oboobb3o$1836bo7boo$1837bo6boo$
1840b5o$1842boo$1841boo6b6o$1841boo6boob4o$1840bobo5bobboobo$1839boo6b
oo3bo11bo$1839bobo4b3o3bobo8boo$1838bo7b3obbobobobo5bobo$1839boo14bobo
6bo$1848bob3o3bo3b6o$1849b3ob3o5bo3bo$1849bo3boboobobob3o$1855boo7boo$
1855b3o6bobo$1863bo$1854boo6bobboo$1854boo5boboo3bo$1852boobobobboo5bo
$1851boobo4bo3bo4bo$1851bo3bobboo$1852bo6bo$$1861b3o$1862boo!

I have no idea yet how to make adjustments to the multiplication factor, or how to use different period input rakes. It is pure luck that the multiplication factor in this first example is a nice prime.

As a side observation, this mechanism should provide another way to send a signal forwards in a diagonal c/4 convoy. It is much cleaner than the previous glider-kickback crawling mechanism.

EDIT 2:

I investigated this, and it isn't so useful after all. Each different period rake needs a different convoy to re-ignite the fuse, and it gets ever more harder as the period is increased since gliders have to shifted further forwards to reach the fuse. It quickly becomes impractical.

So I will have to look for a better fuse after all.

Also, swapping the two shifting convoys does make the period 80 case look better since the output gliders pass just below the fuse instead of through it.

BCNU,
-dbell

[Sokwe]

Here's a partial c/7 that I found from searching ships with width 11 gutter symmetry:

Logical width 11 seems wide as a starting place for c/7. I don't think anyone's ever tried to find a gutter-symmetric c/7 orthogonal ship at logical width 10 (full width 21). Any such search would find two loafers side-by-side, but I'm not sure if there's anything else to find. If anyone completes such a search with qfind, let me know. Please also include the number of threads used and approximately how long the search takes.

I also don't think anyone has tried to find a second odd-symmetric c/7 orthogonal ship at logical width 10 (full width 19). 339P7H1V0 was found with zfind, so there may be a shorter ship that qfind or LSSS or LLSSS could find.