Oscillator Discussion Thread

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
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synperiplanar
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Re: Oscillator Discussion Thread

Post by synperiplanar »

WhiteHawk wrote: February 4th, 2026, 2:06 am I have done enough forum scanning to say I am pretty sure this unusual blocker-charity's p16 interaction isn't known. Since it may have some (unlikely) usage, I'll post it here. What's unusual here is that the low-clearance corner dot actually helps restore the blocker (advance 1 phase to see this)

Code: Select all

x = 16, y = 20, rule = B3/S23
10bo$2bo6bobo$bobo6bo$o3bo$bo3bo7bo$2bo3bo5bobo$3bo3bo2b2o2b2o$4bobo3b
2ob2o$5bo3b2ob3o$9b3o$10bobo$11b2o2$11bo$10bobo$10bo2bo$11bo2bo2$11bo
2bo$11b2o!
Some other blocker phases/coe's p8 can work here too

EDIT: Same thing with Coe's P8, actually (reacting phase shown)

Code: Select all

x = 16, y = 22, rule = B3/S23
10bo$2bo6bobo$b3o6bo$3obo$bo3bo7bo$2bo3bo4b2ob2o$3bob3o2bo4bo$4b3o$5b
o8bo2$9bo2bo$11b2o$11b2o$10b2o$9b4o$8bo$7b2o$9bo3$7b2o$7b2o!
other stuff

Code: Select all

x = 50, y = 119, rule = B3/S23
5bo7bo11bo7bo$4b2o6bobo9b2o6bobo$3bob2o6bo9bob2o6bo$2b3o2bo8bo5b3o2bo
8bo$4bobobo5bo3bo5bobobo5bo3bo$5bobobo4bo10bobobo4bo$6bo2b3o2bo3bo7bo
2b3o2bo3bo$7b2obo16b2obo$8b2o18b2o$8bo19bo$14b2o18b2o$13bobo18b2o$12b
3o$12b2o$15b2o15bobo$14b3o13bo2b2o$33bo$30b3o$14b2o$14b2o$30b2o$30b2o
6$13b2o3b2o19b2o3b2o$12bobo3b2o18bobo3b2o$9bobobo21bobobo$3b2o5bo18b2o
5bo$3b2o3b2o2bo16b2o3b2o2bo$9bobobo4bo16bobobo4bo$10b3o4b2obo15b3o4b2o
bo$11bo4bo2bo17bo4bo2bo$3b2o10b3o2bo8b2o10b3o2bo$3bobo2bo7bobo2bo7bob
o2bo7bobo2bo$4bo2bobo7bo2bobo7bo2bobo7bo2bobo$5bo2b3o10b2o8bo2b3o10b2o
$6bo2bo4bo17bo2bo4bo$5bob2o4b3o15bob2o4b3o$7bo4bobobo16bo4bobobo$13bo
2b2o3b2o16bo2b2o3b2o$15bo5b2o18bo5b2o$12bobobo21bobobo$6b2o3bobo18b2o
3bobo$6b2o3b2o19b2o3b2o3$5b3o23b3o$5b2o23bo$8b2o19b2o2bo$7b3o19bobo$6b
obo$6b2o$28b2o$28b2o5$15b2o25b2o$15b2o25bo2bo2$20b2o18bo7bo$18b3obo19b
o3b2obo$14bo2b5o17bo4b2o2bo$13bobob2o21bobobo$b2o8bo3b2o11b2o9b2ob2o$
2bo26bo5bobob2o$2bobo5bo8b2o8bobo3bobob2o5b2o$3b2o8bo5bobo8b2o5b2obob
o3bobo$21bo15b2obobo5bo$7b2o3bo8b2o11b2ob2o9b2o$5b2obobo22bobobo$2b5o
2bo19bo2b2o4bo$bob3o22bob2o3bo$2b2o25bo7bo2$7b2o23bo2bo$6bo2bo24b2o$6b
o27b2o$6bo26b2o$6bob2o22b4o$8b2o21bo$30b2o$32bo$7b2o$7b2o$30b2o$30b2o
4$6b2o25b2o$6b2o25b2o$2o11bobo11b2o11bobo$bo10bo15bo10bo$bobo9bo2bo11b
obo9bo2bo$2b2o9bobobo11b2o9bobobo$6b3o5bo2bo15b3o5bo2bo$5bo2bo6b2o15b
o2bo6b2o$5bob2o23bob2o$bo4bo21bo4bo$obo24bobo$bo26bo$15b2o25b2o$6b2o3b
4o4b2o12b2o3b4o4b2o$6b2o3b3ob2o2b2o12b2o3b3ob2o2b2o$16bo26bo2$5b3o24b
3o$5b2o24bo$8b2o20b2o2bo$7b3o20bobo$6bobo$6b2o$29b2o$29b2o!
4 mod 8 stuff also works albeit only with coe's p8., and 0 mod 8 stuff works with both of course
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Re: Oscillator Discussion Thread

Post by I6_I6 »

WhiteHawk wrote: February 4th, 2026, 2:06 am I have done enough forum scanning to say I am pretty sure this unusual blocker-charity's p16 interaction isn't known. Since it may have some (unlikely) usage, I'll post it here. What's unusual here is that the low-clearance corner dot actually helps restore the blocker (advance 1 phase to see this)

Code: Select all

x = 16, y = 20, rule = B3/S23
10bo$2bo6bobo$bobo6bo$o3bo$bo3bo7bo$2bo3bo5bobo$3bo3bo2b2o2b2o$4bobo3b
2ob2o$5bo3b2ob3o$9b3o$10bobo$11b2o2$11bo$10bobo$10bo2bo$11bo2bo2$11bo
2bo$11b2o!
Some other blocker phases/coe's p8 can work here too

EDIT: Same thing with Coe's P8, actually (reacting phase shown)

Code: Select all

x = 16, y = 22, rule = B3/S23
10bo$2bo6bobo$b3o6bo$3obo$bo3bo7bo$2bo3bo4b2ob2o$3bob3o2bo4bo$4b3o$5b
o8bo2$9bo2bo$11b2o$11b2o$10b2o$9b4o$8bo$7b2o$9bo3$7b2o$7b2o!
That gives a new way for multiple blockers and Coe's p8s to share blocks:

Code: Select all

x = 7, y = 28, rule = B3/S23
5b2o$5b2o3$4bo$5b2o$5bo$b4o$2b2o$b2o$b2o$bo2bo2$bo2bo$o2bo$obo$bo2$b2o
$b2o3$2obo$bobo$2bo$b2o$b2o$b2o!
It's not on the LifeWiki blocker article (which shows a different way for blockers and Coe's p8s to share blocks) so I'm assuming it's new.

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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Re: Oscillator Discussion Thread

Post by hotcrystal0 »

P28 pipsquirter made with the “P28 traffic-farm hassler”:

Code: Select all

x = 55, y = 75, rule = B3/S23
34b2o$33bo2bo2b2o$33bobo2bobo$31b2o2b4o$30bo2b2o4bo$30b3o2b3obo$33bob
o2bo$25b2ob4o4b2o$23bo2bobo2bob2obo$23b2obo5bobobo$26b2o7bob2obo$23b2o
4b2o3b2obob2o$22bo2b6o5bo$22bobo6bo2b2o$19b2obobo2b4o4bobob2o$19b2obo
bobo4b4o2b2obo$22bobobo2b2o3bobo$22bobobobo2bo3b2o$20b2ob2obob3o8bo$19b
obo3bobo7b5o$19bobo3bobob2o3bo$b2o4b2ob2o8bo5bo2bobobob2ob2o4b2o$2bo4b
ob2obo16bo2b2o2b2obo4bo$2bob2obo4bo15b2o4bo4bob2obo$2o2bobob4ob2o17b2o
b4obobo2b2o$bobo2bobo2bo3bo15bo3bo2bobo2bobo$o2bob2o2b3obobo6b3o6bobo
b3o2b2obo2bo$b2o3bo2b2o4b2o4bo3bo4b2o4b2o2bo3b2o$3b2o4b2ob2o3bo2bo5bo
2bo3b2ob2o4b2o$3bo5bo4bob2o2bo5bo2b2obo4bo5bo$4bo5b4o3bo2bo5bo2bo3b4o
5bo$3b2o8bob2o4bo3bo4b2obo8b2o$10b2obobo6b3o6bobob2o$11bobobo15bobobo
$9bobob2o17b2obobo$8bobo25bobo$8bo29bo$6b2obo13bo13bob2o$2b2obo2bo13b
3o13bo2bob2o$3bob2o15b3o15b2obo$3bo4b3o11b3o11b3o4bo$2b2o3bo3bo10b3o10b
o3bo3b2o$6bo5bo5b4obob4o5bo5bo$6bo5bo4b6ob6o4bo5bo$6bo5bo5b4obob4o5bo
5bo$3b2o2bo3bo10b3o10bo3bo2b2o4bo$2bobo3b3o11b3o11b3o3bobo2bobob2o$2b
o19b3o19bo2bob2obo$b2o5bo13b3o13bo5b3o$8bo14bo13bo2bo6b8o$7b3o36bo7bo
$37b2obobo3bobo3bo$39b2o3bo7b2o$7b2o31bo7bobo$6b3ob2o10b3o15bo2b3o3b2o
b2o$10bobo8bo3bo16bobob4o3bo$4b4o4bo7bo5bo17bo5b3o$11bo5bo2bo5bo2bobo
11bo2b3obo$10bo5bobobo5bobo2bo11b2obo2bo$11b3obobo3bo3bo6bo13bobo$13b
obobobo2b3o4bob4o11b2o$14bo3b2o$25b2o4bo3bo$18b4o3bo8bo2b2o$18bo2bo4b
3o3bob3obo$28bo5bo$28bob2o3bob4o$26b2obo5bobo2bo$25bo3bobobobobobo$26b
2obo4b2o2bo$27bobo3b2ob2o$26bo2bo6bo$26b2obob2obobo$29bo2bob2o$29b2o!
And just for good measures, here’s the “P28 traffic-farm hassler” with stable supports:

Code: Select all

 x = 53, y = 53, rule = B3/S23
24b2ob2o$24bo3bo$25b3o$22b3o3b3o$16bo5bo2bobo2bo5bo$16b3o4b3ob3o4b3o$
19bo13bo$18bo2b3o5b3o2bo$18b3o2bo5bo2b3o$21bo9bo$20bo11bo$20b2o4bo4b2o
$25bobo$26bo3$4b2o41b2o$5bo20bo20bo$5bob2o16bobo16b2obo$6bobo16bobo16b
obo$8bob2o13bobo13b2obo$7bobobo13bobo13bobobo$3b2o2bo17bobo17bo2b2o$3b
obob2o17bo17b2obobo$2obobo41bobob2o$obob2o6bo5b5o7b5o5bo6b2obobo$2bo8b
obo3bo5bo5bo5bo3bobo8bo$obob2o6bo5b5o7b5o5bo6b2obobo$2obobo41bobob2o$
3bobob2o17bo17b2obobo$3b2o2bo17bobo17bo2b2o$7bobobo13bobo13bobobo$8bo
b2o13bobo13b2obo$6bobo16bobo16bobo$5bob2o16bobo16b2obo$5bo20bo20bo$4b
2o41b2o3$26bo$25bobo$20b2o4bo4b2o$20bo11bo$21bo9bo$18b3o2bo5bo2b3o$18b
o2b3o5b3o2bo$19bo13bo$16b3o4b3ob3o4b3o$16bo5bo2bobo2bo5bo$22b3o3b3o$25b
3o$24bo3bo$24b2ob2o!
Edit: Nevermind the stable support version is known and on the wiki
Last edited by hotcrystal0 on February 4th, 2026, 6:54 pm, edited 1 time in total.
137 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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Re: Oscillator Discussion Thread

Post by I6_I6 »

WhiteHawk wrote: February 4th, 2026, 2:06 am I have done enough forum scanning to say I am pretty sure this unusual blocker-charity's p16 interaction isn't known. Since it may have some (unlikely) usage, I'll post it here. What's unusual here is that the low-clearance corner dot actually helps restore the blocker (advance 1 phase to see this)
...
It's also applicable to other periods.
Unices sharing a block:

Code: Select all

x = 15, y = 9, rule = B3/S23
b2o8b2o$b2o8bo2bo$b2o$bo$obo8bob2o$bobob3o2bobo$2bob3o4bo$3bo6bo$7bo2b
o!
(Edit: This is known; the catagolue page has a comment from 2019)

Two 121P7s sharing a block:

Code: Select all

x = 24, y = 44, rule = B3/S23
7b2o3b2o$8bo3bo$2b2o4bobobo$3bo2b2obobob2o$3bobobobobobobo$2obo2bobo2b
ob2obo$o2bo3b2o2b2o3bo$2bob2ob2o4b2obobo$b2o4b2ob2obobobobo$2bobo6bob
o3bo2bo$2bob7o2bobo2bob3o$3bo3bo2bobo5bo4bo$4bo4bo2b6o2b3o$3b2o5b2o5b
2obo$12b2o5bo$12bo$10bobo3b3o$10b2o5bobo$17bobo$18bo$17b2o$17b2o$17bo
2bo2$21bo$18bo$10b2o6b2o$10bobo2b3o$12bo2b3o$12b2ob2o$3b2o5b2o6bobo$4b
o4bo2b3o3bob3o$3bo3bo2bobo3bobo4bo$2bob7o2b2obobob3o$2bobo6bobo3bo2bo
$b2o3b3obo2bobobobo$2bob2obobo3b2obobo$o2bobobobo2b3obo$2obobobobob2o
3bo$3bobo3bobobobo$3bo2b2obobob2o$2b2o4bobobo$8bo3bo$7b2o3b2o!
2 copies of 48P9.2 sharing a block:

Code: Select all

x = 24, y = 16, rule = B3/S23
8b2o4b2o$8b2o4b2o$5bo12bo$5b5o4b5o$9bo4bo$5b3o9b2o$b2obo12bobob2o$b2o
bo14bob2o$4bobob2o7b2o$ob2o7bo6bob2obo$2obob3o7b4obob2o$3bobo6b3o5bo$
3bobob2o2b3ob2obobo$4b2obo8bob2o$7bo8bo$7b2o6b2o!
p39 pi hassler + Beluchenko's p13:

Code: Select all

x = 42, y = 32, rule = B3/S23
9b2o$8bobo$8bo$3bob2obo$3b2obob2o21b2ob2o$6bo2bo21b2o$6b2o3bo20bo2bo$
10bobo20bobo$10bobo21bo$10bobo19b2o$11bo18b3o5b2obo$22b2o3b6o4bo3bo$12b
5o5bobo3b2o6bobo$12b2o3bo5bo10b3o2b3o$2obo7bo5bo9bo6b2o4b2o$ob2o8b2o2b
o6bo2bo7b2o$12b4o8bo8b2o$13bo2bo7bo8b2o$14b3o16b2o$25b2o$25b2o$25b3o$
14b2o7b2obo$14b2o7b3o3bo$19b2o3bo3b4o$19b2o6bob3o$26b3o4b3o$27b2o3$25b
2o$25b2o!
Last edited by I6_I6 on February 5th, 2026, 6:54 am, edited 1 time in total.

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
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Re: Oscillator Discussion Thread

Post by hotcrystal0 »

hotcrystal0 wrote: February 4th, 2026, 4:13 pm P28 pipsquirter made with the “P28 traffic-farm hassler”:

Code: Select all

x = 55, y = 75, rule = B3/S23
34b2o$33bo2bo2b2o$33bobo2bobo$31b2o2b4o$30bo2b2o4bo$30b3o2b3obo$33bob
o2bo$25b2ob4o4b2o$23bo2bobo2bob2obo$23b2obo5bobobo$26b2o7bob2obo$23b2o
4b2o3b2obob2o$22bo2b6o5bo$22bobo6bo2b2o$19b2obobo2b4o4bobob2o$19b2obo
bobo4b4o2b2obo$22bobobo2b2o3bobo$22bobobobo2bo3b2o$20b2ob2obob3o8bo$19b
obo3bobo7b5o$19bobo3bobob2o3bo$b2o4b2ob2o8bo5bo2bobobob2ob2o4b2o$2bo4b
ob2obo16bo2b2o2b2obo4bo$2bob2obo4bo15b2o4bo4bob2obo$2o2bobob4ob2o17b2o
b4obobo2b2o$bobo2bobo2bo3bo15bo3bo2bobo2bobo$o2bob2o2b3obobo6b3o6bobo
b3o2b2obo2bo$b2o3bo2b2o4b2o4bo3bo4b2o4b2o2bo3b2o$3b2o4b2ob2o3bo2bo5bo
2bo3b2ob2o4b2o$3bo5bo4bob2o2bo5bo2b2obo4bo5bo$4bo5b4o3bo2bo5bo2bo3b4o
5bo$3b2o8bob2o4bo3bo4b2obo8b2o$10b2obobo6b3o6bobob2o$11bobobo15bobobo
$9bobob2o17b2obobo$8bobo25bobo$8bo29bo$6b2obo13bo13bob2o$2b2obo2bo13b
3o13bo2bob2o$3bob2o15b3o15b2obo$3bo4b3o11b3o11b3o4bo$2b2o3bo3bo10b3o10b
o3bo3b2o$6bo5bo5b4obob4o5bo5bo$6bo5bo4b6ob6o4bo5bo$6bo5bo5b4obob4o5bo
5bo$3b2o2bo3bo10b3o10bo3bo2b2o4bo$2bobo3b3o11b3o11b3o3bobo2bobob2o$2b
o19b3o19bo2bob2obo$b2o5bo13b3o13bo5b3o$8bo14bo13bo2bo6b8o$7b3o36bo7bo
$37b2obobo3bobo3bo$39b2o3bo7b2o$7b2o31bo7bobo$6b3ob2o10b3o15bo2b3o3b2o
b2o$10bobo8bo3bo16bobob4o3bo$4b4o4bo7bo5bo17bo5b3o$11bo5bo2bo5bo2bobo
11bo2b3obo$10bo5bobobo5bobo2bo11b2obo2bo$11b3obobo3bo3bo6bo13bobo$13b
obobobo2b3o4bob4o11b2o$14bo3b2o$25b2o4bo3bo$18b4o3bo8bo2b2o$18bo2bo4b
3o3bob3obo$28bo5bo$28bob2o3bob4o$26b2obo5bobo2bo$25bo3bobobobobobo$26b
2obo4b2o2bo$27bobo3b2ob2o$26bo2bo6bo$26b2obob2obobo$29bo2bob2o$29b2o!
Quick reduction by mixing in the stable support version:

Code: Select all

x = 47, y = 70, rule = B3/S23
34b2o$33bo2bo2b2o$33bobo2bobo$31b2o2b4o$30bo2b2o4bo$30b3o2b3obo$33bob
o2bo$25b2ob4o4b2o$23bo2bobo2bob2obo$23b2obo5bobobo$26b2o7bob2obo$23b2o
4b2o3b2obob2o$22bo2b6o5bo$22bobo6bo2b2o$19b2obobo2b4o4bobob2o$19b2obo
bobo4b4o2b2obo$22bobobo2b2o3bobo$22bobobobo2bo3b2o$20b2ob2obob3o8bo$19b
obo3bobo7b5o$19bobo3bobob2o3bo$b2o4b2ob2o8bo5bo2bobobob2ob2o4b2o$2bo4b
ob2obo16bo2b2o2b2obo4bo$2bob2obo4bo15b2o4bo4bob2obo$2o2bobob4ob2o17b2o
b4obobo2b2o$bobo2bobo2bo3bo15bo3bo2bobo2bobo$o2bob2o2b3obobo6b3o6bobo
b3o2b2obo2bo$b2o3bo2b2o4b2o4bo3bo4b2o4b2o2bo3b2o$3b2o4b2ob2o3bo2bo5bo
2bo3b2ob2o4b2o$3bo5bo4bob2o2bo5bo2b2obo4bo5bo$4bo5b4o3bo2bo5bo2bo3b4o
5bo$3b2o8bob2o4bo3bo4b2obo8b2o$10b2obobo6b3o6bobob2o$11bobobo15bobobo
$9bobob2o17b2obobo$8bobo25bobo$8bo29bo$6b2obo13bo13bob2o$2b2obo2bo13b
3o13bo2bob2o$3bob2o15b3o15b2obo$3bo4b3o11b3o11b3o4bo$2b2o3bo3bo10b3o10b
o3bo3b2o$6bo5bo5b4obob4o5bo5bo$6bo5bo4b6ob6o4bo5bo$6bo5bo5b4obob4o5bo
5bo$3b2o2bo3bo10b3o10bo3bo2b2o$2bobo3b3o11b3o11b3o3bobo$2bo19b3o19bo$
b2o5bo13b3o13bo5b2o$8bo14bo14bo$7b3o27b3o3$8b2o27b2o$5b2ob3o11b3o11b3o
b2o$4bobo14bo3bo14bobo$4bo4b4o7bo5bo7b4o4bo$5bo14bo5bo14bo$6bo10b2obo
5bob2o10bo$3b3o11bo3bo3bo3bo11b3o$3bo14bo3b3o3bo14bo$15b3o2bo5bo2b3o$
15bo2b3o5b3o2bo$16bo13bo$13b3o4b3ob3o4b3o$13bo5bo2bobo2bo5bo$19b3o3b3o
$22b3o$21bo3bo$21b2ob2o!
137 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 »

Is this quasi-"two blockers and two clocks hassling ship" and this p8 wick known?

Code: Select all

x = 17, y = 17, rule = B3/S23
9b2o$9b2o3$8b2o$8b2obo$11bo$11bo$4b2o5bo2bo$2o2b2o4bo4b2o$2o7bo3b2o$5b
4o6bo2$10bo$8bobo$9bobo$9bo!

Code: Select all

x = 34, y = 30, rule = B3/S23
26b2o$26b2o2$17bo$15bobo7b2o$16bobo6b2obo$16bo11bo$28bo$11bo9b2o5bo2bo
$12b2o3b2o2b2o4bo4b2o$10b2o4bobo7bo3b2o$12bo3b2o4b4o6bo2$7bo19bo$5bobo
7b2o8bobo$6bobo6b2obo7bobo$6bo11bo7bo$18bo$bo9b2o5bo2bo$2b2o3b2o2b2o4b
o4b2o$2o4bobo7bo3b2o$2bo3b2o4b4o6bo2$17bo$5b2o8bobo$5b2obo7bobo$8bo7bo
$8bo$5bo2bo$6b2o!
EDIT: Related p12 based on baker's dozen:

Code: Select all

x = 27, y = 27, rule = B3/S23
9bo$8bobo$8bobo$7b2ob2o$15b2o$5b4ob2o3b2o$5bo2bobo$3bobo$b3ob2o7b2o$o
12bo2bo6bo$b3ob2o7bobo6b2o$3bobo10bo$16bo2bobo2b3o$9bo6bo2b4obo$8bobo
4bo3b2o$4b2o2bo5bo$4b2o3b5o3$12b3o$13b2o$12b2o$13bo$9b2o$10bob2o$12bo$
12bo!
EDIT 2: Reduced:

Code: Select all

x = 27, y = 27, rule = B3/S23
9bo$8bobo$8bobo$7b2ob2o$15b2o$7b2ob2o3b2o$7b2obo$3bob2o$b3ob2o7b2o$o
12bo2bo6bo$b3ob2o7bobo6b2o$3bobo10bo$16bo2bobo2b3o$9bo6bo2b4obo$8bobo
4bo3b2o$4b2o2bo5bo$4b2o3b5o3$12b3o$13b2o$12b2o$13bo$9b2o$10bob2o$12bo$
12bo!
Last edited by Entity Valkyrie 2 on February 6th, 2026, 10:04 pm, edited 1 time in total.
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hotcrystal0
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Re: Oscillator Discussion Thread

Post by hotcrystal0 »

hotcrystal0 wrote: February 4th, 2026, 7:02 pm Quick reduction by mixing in the stable support version:

Code: Select all

x = 47, y = 70, rule = B3/S23
34b2o$33bo2bo2b2o$33bobo2bobo$31b2o2b4o$30bo2b2o4bo$30b3o2b3obo$33bob
o2bo$25b2ob4o4b2o$23bo2bobo2bob2obo$23b2obo5bobobo$26b2o7bob2obo$23b2o
4b2o3b2obob2o$22bo2b6o5bo$22bobo6bo2b2o$19b2obobo2b4o4bobob2o$19b2obo
bobo4b4o2b2obo$22bobobo2b2o3bobo$22bobobobo2bo3b2o$20b2ob2obob3o8bo$19b
obo3bobo7b5o$19bobo3bobob2o3bo$b2o4b2ob2o8bo5bo2bobobob2ob2o4b2o$2bo4b
ob2obo16bo2b2o2b2obo4bo$2bob2obo4bo15b2o4bo4bob2obo$2o2bobob4ob2o17b2o
b4obobo2b2o$bobo2bobo2bo3bo15bo3bo2bobo2bobo$o2bob2o2b3obobo6b3o6bobo
b3o2b2obo2bo$b2o3bo2b2o4b2o4bo3bo4b2o4b2o2bo3b2o$3b2o4b2ob2o3bo2bo5bo
2bo3b2ob2o4b2o$3bo5bo4bob2o2bo5bo2b2obo4bo5bo$4bo5b4o3bo2bo5bo2bo3b4o
5bo$3b2o8bob2o4bo3bo4b2obo8b2o$10b2obobo6b3o6bobob2o$11bobobo15bobobo
$9bobob2o17b2obobo$8bobo25bobo$8bo29bo$6b2obo13bo13bob2o$2b2obo2bo13b
3o13bo2bob2o$3bob2o15b3o15b2obo$3bo4b3o11b3o11b3o4bo$2b2o3bo3bo10b3o10b
o3bo3b2o$6bo5bo5b4obob4o5bo5bo$6bo5bo4b6ob6o4bo5bo$6bo5bo5b4obob4o5bo
5bo$3b2o2bo3bo10b3o10bo3bo2b2o$2bobo3b3o11b3o11b3o3bobo$2bo19b3o19bo$
b2o5bo13b3o13bo5b2o$8bo14bo14bo$7b3o27b3o3$8b2o27b2o$5b2ob3o11b3o11b3o
b2o$4bobo14bo3bo14bobo$4bo4b4o7bo5bo7b4o4bo$5bo14bo5bo14bo$6bo10b2obo
5bob2o10bo$3b3o11bo3bo3bo3bo11b3o$3bo14bo3b3o3bo14bo$15b3o2bo5bo2b3o$
15bo2b3o5b3o2bo$16bo13bo$13b3o4b3ob3o4b3o$13bo5bo2bobo2bo5bo$19b3o3b3o
$22b3o$21bo3bo$21b2ob2o!
Another reduction by using a P4 sparker on the left:

Code: Select all

x = 69, y = 80, rule = B3/S23
3$43b2o$42bo2bo2b2o$42bobo2bobo$40b2o2b4o$39bo2b2o4bo$39b3o2b3obo$42b
obo2bo$34b2ob4o4b2o$32bo2bobo2bob2obo$32b2obo5bobobo$35b2o7bob2obo$32b
2o4b2o3b2obob2o$31bo2b6o5bo$31bobo6bo2b2o$28b2obobo2b4o4bobob2o$28b2o
bobobo4b4o2b2obo$31bobobo2b2o3bobo$31bobobobo2bo3b2o$29b2ob2obob3o8bo
$17b2o2b2o5bobo3bobo7b5o$17bo2bobo5bobo3bobob2o3bo$14b2obob2o8bo5bo2b
obobob2ob2o4b2o$14b2obobo2bo15bo2b2o2b2obo4bo$16b2ob4o14b2o4bo4bob2ob
o$19bo21b2ob4obobo2b2o$18b2ob2o17bo3bo2bobo2bobo$18bo2b2o8b3o6bobob3o
2b2obo2bo$15bo2b2o4b2o4bo3bo4b2o4b2o2bo3b2o$15b2obo5b3o2bo5bo2bo3b2ob
2o4b2o$18bo2bo3b2o2bo5bo2b2obo4bo5bo$15b2obobobob3o2bo5bo2bo3b4o5bo$15b
obo2b3o2bo4bo3bo4b2obo8b2o$18b2o3b2o6b3o6bobob2o$20b2obo16bobobo$13b2o
5bo2bo17b2obobo$13bobo5b2o22bobo$15bo31bo$14bob2o14bo13bob2o$14bo2bo13b
3o13bo2bob2o$11b2ob2o15b3o15b2obo$12bo4b3o11b3o11b3o4bo$10bobo3bo3bo10b
3o10bo3bo3b2o$10b2o3bo5bo5b4obob4o5bo5bo$15bo5bo4b6ob6o4bo5bo$15bo5bo
5b4obob4o5bo5bo$12b2o2bo3bo10b3o10bo3bo2b2o$11bobo3b3o11b3o11b3o3bobo
$11bo19b3o19bo$10b2o5bo13b3o13bo5b2o$17bo14bo14bo$16b3o27b3o3$17b2o27b
2o$14b2ob3o11b3o11b3ob2o$13bobo14bo3bo14bobo$13bo4b4o7bo5bo7b4o4bo$14b
o14bo5bo14bo$15bo10b2obo5bob2o10bo$12b3o11bo3bo3bo3bo11b3o$12bo14bo3b
3o3bo14bo$24b3o2bo5bo2b3o$24bo2b3o5b3o2bo$25bo13bo$22b3o4b3ob3o4b3o$22b
o5bo2bobo2bo5bo$28b3o3b3o$31b3o$30bo3bo$30b2ob2o!
137 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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KtT
Posts: 601
Joined: December 17th, 2022, 9:29 am

Re: Oscillator Discussion Thread

Post by KtT »

KtT wrote: June 11th, 2024, 11:27 am P72 wick based on two blockers hassling R-pentomino:

Code: Select all

x = 57, y = 58, rule = B3/S23
39bo$38bobo$35b2o3b3obo$35b2o2bobo2bo$35b3o5b2o$25b2o10bo$25b2o9bo11b
2o$36b2o10b2o$37bo$24b2o$24b2obo7bo$27bo6bobo14b2o$27bo3b2o14b2o2b2o2b
2o$24bo2bo3bo15b2o2bo2bobo$25b2o9b2o15b3o$53b2o$32bobo6$35b2o$23bo12b
o$22b3o9b3o$21bo$20b2ob2obo4b2o$21bo9b2o$2b2o17b2o3bo$o2bo7b2o11bo$11b
2o$o2bo$bo2bo$2bobo$3bo24bo$8b2o14b2o2b2ob3o$2b2o4b2o14b2o4b4o$2b2o24b
2o5$12bo$10b2ob2o$10b2obobo2$10bo5bo$14bobo$2b2o7b3o2bo$2bo2bo2$2bo2b
o$bo2bo$bobo$2bo2$2b2o$2b2o!
Another way to make p72 wick based on two blockers hassling R-pentomino:

Code: Select all

x = 63, y = 59, rule = B3/S23
42b3o$46bo$43bo3bo$42bo3b2o$27b2o13bo5bo$25bo2bo13bo3b2o$44bob2o$25bo
2bo25b2o$26bo2bo24b2o$27bobo$28bo2$27b2o9b2o17b2o$27b2o8b2obo12b2obo2b
ob2o$36bobob2o11b2o2bo4bo$36b3o19bo$59bobo$36b3o$37bo7$33b2o$33b2o$17b
3o$17bo2bo$2b2o12b2o2bo$o2bo11b2o2b2o$15b5o$o2bo13bo11b2o$bo2bo24b2o$
2bobo$3bo$8b2o$2b2o4b2o22b2o$2b2o8b2o14b2obo2bob2o$11b3o14b2o2bo4bo$11b
o2bo18bo$12b2o20bobo8$2b2o$2bo2bo2b2o$8b2o$2bo2bo$bo2bo$bobo$2bo2$2b2o
$2b2o!
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hotcrystal0
Posts: 4568
Joined: July 3rd, 2020, 5:32 pm
Location: wherever you think I am

Re: Oscillator Discussion Thread

Post by hotcrystal0 »

hotcrystal0 wrote: February 5th, 2026, 5:02 pm Another reduction by using a P4 sparker on the left:

Code: Select all

x = 69, y = 80, rule = B3/S23
3$43b2o$42bo2bo2b2o$42bobo2bobo$40b2o2b4o$39bo2b2o4bo$39b3o2b3obo$42b
obo2bo$34b2ob4o4b2o$32bo2bobo2bob2obo$32b2obo5bobobo$35b2o7bob2obo$32b
2o4b2o3b2obob2o$31bo2b6o5bo$31bobo6bo2b2o$28b2obobo2b4o4bobob2o$28b2o
bobobo4b4o2b2obo$31bobobo2b2o3bobo$31bobobobo2bo3b2o$29b2ob2obob3o8bo
$17b2o2b2o5bobo3bobo7b5o$17bo2bobo5bobo3bobob2o3bo$14b2obob2o8bo5bo2b
obobob2ob2o4b2o$14b2obobo2bo15bo2b2o2b2obo4bo$16b2ob4o14b2o4bo4bob2ob
o$19bo21b2ob4obobo2b2o$18b2ob2o17bo3bo2bobo2bobo$18bo2b2o8b3o6bobob3o
2b2obo2bo$15bo2b2o4b2o4bo3bo4b2o4b2o2bo3b2o$15b2obo5b3o2bo5bo2bo3b2ob
2o4b2o$18bo2bo3b2o2bo5bo2b2obo4bo5bo$15b2obobobob3o2bo5bo2bo3b4o5bo$15b
obo2b3o2bo4bo3bo4b2obo8b2o$18b2o3b2o6b3o6bobob2o$20b2obo16bobobo$13b2o
5bo2bo17b2obobo$13bobo5b2o22bobo$15bo31bo$14bob2o14bo13bob2o$14bo2bo13b
3o13bo2bob2o$11b2ob2o15b3o15b2obo$12bo4b3o11b3o11b3o4bo$10bobo3bo3bo10b
3o10bo3bo3b2o$10b2o3bo5bo5b4obob4o5bo5bo$15bo5bo4b6ob6o4bo5bo$15bo5bo
5b4obob4o5bo5bo$12b2o2bo3bo10b3o10bo3bo2b2o$11bobo3b3o11b3o11b3o3bobo
$11bo19b3o19bo$10b2o5bo13b3o13bo5b2o$17bo14bo14bo$16b3o27b3o3$17b2o27b
2o$14b2ob3o11b3o11b3ob2o$13bobo14bo3bo14bobo$13bo4b4o7bo5bo7b4o4bo$14b
o14bo5bo14bo$15bo10b2obo5bob2o10bo$12b3o11bo3bo3bo3bo11b3o$12bo14bo3b
3o3bo14bo$24b3o2bo5bo2b3o$24bo2b3o5b3o2bo$25bo13bo$22b3o4b3ob3o4b3o$22b
o5bo2bobo2bo5bo$28b3o3b3o$31b3o$30bo3bo$30b2ob2o!
Yet another reduction by using another P4 sparker on the other side:

Code: Select all

x = 56, y = 76, rule = B3/S23
$39b2o$38bo2bo2b2o$38bobo2bobo$36b2o2b4o$35bo2b2o4bo$35b3o2b3obo$38bo
bo2bo$30b2ob4o4b2o$28bo2bobo2bob2obo$28b2obo5bobobo$31b2o7bob2obo$28b
2o4b2o3b2obob2o$27bo2b6o5bo$27bobo6bo2b2o$24b2obobo2b4o4bobob2o$24b2o
bobobo4b4o2b2obo$27bobobo2b2o3bobo$27bobobobo2bo3b2o$25b2ob2obob3o$13b
2o2b2o5bobo3bobo$13bo2bobo5bobo3bobob4o$10b2obob2o8bo5bobobo2bo2b2ob2o
$10b2obobo2bo14bo3bo2bobobo$12b2ob4o14b2o3b4o2bo$15bo26bobob2o$14b2ob
2o19b2o3bobo2bo$14bo2b2o8b3o8b2o3bobob2o$11bo2b2o4b2o4bo3bo4b2o8bo$11b
2obo5b3o2bo5bo2b3o7b2o$14bo2bo3b2o2bo5bo2b2o3bo$11b2obobobob3o2bo5bo2b
3obobo$11bobo2b3o2bo4bo3bo4bo2b3o2bo$14b2o3b2o6b3o6b2o3b3o$16b2obo17b
ob2o$9b2o5bo2bo17bo2bob2o$9bobo5b2o19bobobobo$11bo27bo5bo$10bob2o14bo
14b2obo$10bo2bo13b3o13bo2bo$7b2ob2o15b3o15b2ob2o$8bo4b3o11b3o11b3o4bo
$6bobo3bo3bo10b3o10bo3bo3bobo$6b2o3bo5bo5b4obob4o5bo5bo3b2o$11bo5bo4b
6ob6o4bo5bo$11bo5bo5b4obob4o5bo5bo$8b2o2bo3bo10b3o10bo3bo2b2o$7bobo3b
3o11b3o11b3o3bobo$7bo19b3o19bo$6b2o5bo13b3o13bo5b2o$13bo14bo14bo$12b3o
27b3o3$13b2o27b2o$10b2ob3o11b3o11b3ob2o$9bobo14bo3bo14bobo$9bo4b4o7bo
5bo7b4o4bo$10bo14bo5bo14bo$11bo10b2obo5bob2o10bo$8b3o11bo3bo3bo3bo11b
3o$8bo14bo3b3o3bo14bo$20b3o2bo5bo2b3o$20bo2b3o5b3o2bo$21bo13bo$18b3o4b
3ob3o4b3o$18bo5bo2bobo2bo5bo$24b3o3b3o$27b3o$26bo3bo$26b2ob2o!
 
137 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
User avatar
iNoMed
Moderator
Posts: 772
Joined: August 29th, 2020, 3:05 pm
Location: Scotland

Re: Oscillator Discussion Thread

Post by iNoMed »

Even more of a reduction (from 494 cells to 470 cells) by opting for a p7 support again:

Code: Select all

x = 45, y = 70, rule = B3/S23
33b2o$32bo2bo2b2o$32bobo2bobo$30b2o2b4o$29bo2b2o4bo$29b3o2b2o2bo$32bob
o2bo$24b2ob4obo2b2o$22bo2bobo2bo2bobo$22b2obo5bobobo$25b2o5bo3b2obo$
22b2o3bo5b2obob2o$21bo2b3o2b2o4bo$21bobo6bo2b2o$18b2obobo2b4o4bobob2o$
18b2obobobo4b4o2b2obo$21bobobo2b2o3bobo$21bobobobo2bo3b2o$19b2ob2obob
3o$18bobo3bobo$18bobo3bobob4o$19bo5bobobo2bo2b2ob2o$27bo3bo2bobobo$4b
2o21b2o3b4o2bo$4b2o4b3o8b3o12bobob2o$9bo6bo3bo3bo7b2o3bobo2bo$8b2obobo
2bo3bo3bo7b2o3bobob2o$4b3o6b3o13b2o8bo$3bo2bobob2o10bo5b3o7b2o$3bo6bo
10bobo4b2o3bo$7b3o4b2o6bo5b3obobo$14b2o13bo2b3o2bo$20bo3bo5b2o3b3o$20b
o3bo6bob2o$3b2o16b3o7bo2bob2o$3bobo26bobobobo$5bo27bo5bo$4bob2o14bo14b
2obo$4bo2bo13bobo13bo2bo$b2ob2o15bobo15b2ob2o$2bo19bo19bo$obo8b2o19b2o
8bobo$2o6bo4bo3b2o7b2o3bo4bo6b2o$7bobo3bo2bo2bo5bo2bo2bo3bobo$8bo4bo3b
2o7b2o3bo4bo$2b2o7b2o19b2o7b2o$bobo18bo18bobo$bo19bobo19bo$2o5bo13bobo
13bo5b2o$7bo14bo14bo$6b3o27b3o2$21b3o$7b2o11bo3bo11b2o$4b2ob3o10bo3bo
10b3ob2o$3bobo33bobo$3bo4b4o10bo10b4o4bo$4bo16bobo16bo$5bo10b2o4bo4b2o
10bo$2b3o11bo11bo11b3o$2bo14bo9bo14bo$14b3o11b3o$14bo2b2o7b2o2bo$15bo
5bobo5bo$12b3o4bobobobo4b3o$12bo5bo2bobo2bo5bo$18b3o3b3o$21b3o$20bo3bo
$20b2ob2o!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!
jeremydover
Posts: 45
Joined: April 6th, 2021, 9:56 am

Re: Oscillator Discussion Thread

Post by jeremydover »

iNoMed wrote: February 7th, 2026, 6:43 am Even more of a reduction (from 494 cells to 470 cells) by opting for a p7 support again:

Code: Select all

x = 45, y = 70, rule = B3/S23
33b2o$32bo2bo2b2o$32bobo2bobo$30b2o2b4o$29bo2b2o4bo$29b3o2b2o2bo$32bob
o2bo$24b2ob4obo2b2o$22bo2bobo2bo2bobo$22b2obo5bobobo$25b2o5bo3b2obo$
22b2o3bo5b2obob2o$21bo2b3o2b2o4bo$21bobo6bo2b2o$18b2obobo2b4o4bobob2o$
18b2obobobo4b4o2b2obo$21bobobo2b2o3bobo$21bobobobo2bo3b2o$19b2ob2obob
3o$18bobo3bobo$18bobo3bobob4o$19bo5bobobo2bo2b2ob2o$27bo3bo2bobobo$4b
2o21b2o3b4o2bo$4b2o4b3o8b3o12bobob2o$9bo6bo3bo3bo7b2o3bobo2bo$8b2obobo
2bo3bo3bo7b2o3bobob2o$4b3o6b3o13b2o8bo$3bo2bobob2o10bo5b3o7b2o$3bo6bo
10bobo4b2o3bo$7b3o4b2o6bo5b3obobo$14b2o13bo2b3o2bo$20bo3bo5b2o3b3o$20b
o3bo6bob2o$3b2o16b3o7bo2bob2o$3bobo26bobobobo$5bo27bo5bo$4bob2o14bo14b
2obo$4bo2bo13bobo13bo2bo$b2ob2o15bobo15b2ob2o$2bo19bo19bo$obo8b2o19b2o
8bobo$2o6bo4bo3b2o7b2o3bo4bo6b2o$7bobo3bo2bo2bo5bo2bo2bo3bobo$8bo4bo3b
2o7b2o3bo4bo$2b2o7b2o19b2o7b2o$bobo18bo18bobo$bo19bobo19bo$2o5bo13bobo
13bo5b2o$7bo14bo14bo$6b3o27b3o2$21b3o$7b2o11bo3bo11b2o$4b2ob3o10bo3bo
10b3ob2o$3bobo33bobo$3bo4b4o10bo10b4o4bo$4bo16bobo16bo$5bo10b2o4bo4b2o
10bo$2b3o11bo11bo11b3o$2bo14bo9bo14bo$14b3o11b3o$14bo2b2o7b2o2bo$15bo
5bobo5bo$12b3o4bobobobo4b3o$12bo5bo2bobo2bo5bo$18b3o3b3o$21b3o$20bo3bo
$20b2ob2o!
Two cells of stator reduction: one cell from a more efficient weld in the middle-left catalyst, and one cell from a slightly different backend for the P4 at right:

Code: Select all

x = 45, y = 70, rule = B3/S23
33b2o10b1$32b1o2b1o2b2o5b1$32b1o1b1o2b1o1b1o5b1$30b2o2b4o7b1$29b1o2b2o4b1o6b1$29b3o2b2o2b1o6b1$32b1o1b1o2b1o7b1$24b2o1b4o1b1o2b2o8b1$22b1o2b1o1b1o2b1o2b1o1b1o9b1$22b2o1b1o5b1o1b1o1b1o9b1$25b2o5b1o3b2o1b1o5b1$22b2o3b1o5b2o1b1o1b2o5b1$21b1o2b3o2b2o4b1o9b1$21b1o1b1o6b1o2b2o10b1$18b2o1b1o1b1o2b4o4b1o1b1o1b2o5b1$18b2o1b1o1b1o1b1o4b4o2b2o1b1o5b1$21b1o1b1o1b1o2b2o3b1o1b1o9b1$21b1o1b1o1b1o1b1o2b1o3b2o9b1$19b2o1b2o1b1o1b3o15b1$18b1o1b1o3b1o1b1o18b1$18b1o1b1o3b1o1b1o1b4o4b1o8b1$19b1o5b1o1b1o1b1o2b1o2b1o1b1o7b1$27b1o3b1o2b1o1b1o1b1o6b1$4b2o21b2o3b4o2b1o6b1$4b2o4b3o8b3o12b1o1b1o1b2o3b1$9b1o6b1o3b1o3b1o7b2o3b1o1b1o2b1o2b1$8b2o1b1o1b1o2b1o3b1o3b1o7b2o3b1o1b1o1b2o2b1$4b3o6b3o13b2o8b1o5b1$3b1o2b1o1b1o1b2o10b1o5b3o7b2o5b1$3b1o6b1o10b1o1b1o4b2o3b1o11b1$7b3o4b2o6b1o5b3o1b1o1b1o10b1$14b2o13b1o2b3o2b1o7b1$20b1o3b1o5b2o3b3o7b1$20b1o3b1o6b1o1b2o10b1$8b2o11b3o7b1o2b1o1b2o7b1$7b1o1b1o22b1o1b1o1b1o1b1o6b1$7b1o25b1o5b1o5b1$5b2o1b1o13b1o14b2o1b1o4b1$1b2o1b1o2b1o13b1o1b1o13b1o2b1o2b1o1b1$2b1o1b2o15b1o1b1o15b2o1b1o1b1o1$2b1o19b1o19b1o1b1o1$1b2o8b2o19b2o8b2o1b1$8b1o4b1o3b2o7b2o3b1o4b1o8b1$7b1o1b1o3b1o2b1o2b1o5b1o2b1o2b1o3b1o1b1o7b1$8b1o4b1o3b2o7b2o3b1o4b1o8b1$2b2o7b2o19b2o7b2o2b1$1b1o1b1o18b1o18b1o1b1o1b1$1b1o19b1o1b1o19b1o1b1$2o5b1o13b1o1b1o13b1o5b2o1$7b1o14b1o14b1o7b1$6b3o27b3o6b1$45b1$21b3o21b1$7b2o11b1o3b1o11b2o7b1$4b2o1b3o10b1o3b1o10b3o1b2o4b1$3b1o1b1o33b1o1b1o3b1$3b1o4b4o10b1o10b4o4b1o3b1$4b1o16b1o1b1o16b1o4b1$5b1o10b2o4b1o4b2o10b1o5b1$2b3o11b1o11b1o11b3o2b1$2b1o14b1o9b1o14b1o2b1$14b3o11b3o14b1$14b1o2b2o7b2o2b1o14b1$15b1o5b1o1b1o5b1o15b1$12b3o4b1o1b1o1b1o1b1o4b3o12b1$12b1o5b1o2b1o1b1o2b1o5b1o12b1$18b3o3b3o18b1$21b3o21b1$20b1o3b1o20b1$20b2o1b2o20b!
User avatar
hotcrystal0
Posts: 4568
Joined: July 3rd, 2020, 5:32 pm
Location: wherever you think I am

Re: Oscillator Discussion Thread

Post by hotcrystal0 »

hotdogPi wrote: January 20th, 2026, 11:13 am p60 gun

Code: Select all

x = 32, y = 29, rule = B3/S23
6bo$5b2o$5bobo2$2o$bo12b3o4b2o$bobo9bo3bo2b3o$2b2o8bo5bob4o$18bob3o$
13b2o3bo2b2o$15b2o2$2b2o$bobo$b2o26b2o$28bobo$28b2o2$15b2o$9b2o2bo3b2o
$9b3obo$8b4obo5bo8b2o$9b3o2bo3bo9bobo$9b2o4b3o12bo$30b2o2$24bobo$25b2o
$25bo!
Partial completion that just needs a suitable long boat spin and block corner:

Code: Select all

x = 40, y = 37, rule = B3/S23
5bo$5b3o$8bo$7b2o12b2o$22bo$3b2o17bobo3b3o$2bo2bo17b2o$2bob2o6bo15bo$
b2o3bo5b2o13bobo$o3b3o4bo2bo13bobo$b3o3bo6bo14b2o$4b3obo2b2o2b2o$3bo2b
ob2ob2o4bo$3b2o3b2obobo2b3o7b2o$7b2ob3o4bo8b2o6bo$9b3o3b2o15bobo$10b2o
2bo15bo2bo$10bobobo12bob3o$9b5o12b5o$8b3obo12bobobo$6bo2bo15bo2b2o$5b
obo15b2o3b3o$5bo6b2o8bo4b3ob2o$12b2o7b3o2bobob2o3b2o$22bo4b2ob2obo2bo
$23b2o2b2o2bob3o$9b2o14bo6bo3b3o$9bobo13bo2bo4b3o3bo$10bobo13b2o5bo3b
2o$11bo15bo6b2obo$15b2o17bo2bo$9b3o3bobo17b2o$17bo$17b2o12b2o$31bo$32b
3o$34bo!
Edit: Unrelated P28 long boat spin:

Code: Select all

x = 35, y = 30, rule = B3/S23
2$8b2o$8b2o2$23bobo3b2o$11b2o9bo2bo2bo2bo$10bobo8bo9bo$9bobo8b4o4bo2b
o$10bo7b2o3b4o3b2o$5b2o11bo2bo4b4o$4bobo11bo9bo$4bo13bo2bo2bo2bo$3b2o
5b3o6b2o3bobo$10bobo$10b3o$6b2o$5bobo$5bo$4b2o6b3o5b3o$12bobo$12b3o2$
9bo12b2o$8bob2o6bo3b2o$12bo4bobo$8bo2bobo4bo$10bo2bo$11b2o!
137 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
User avatar
hotcrystal0
Posts: 4568
Joined: July 3rd, 2020, 5:32 pm
Location: wherever you think I am

Re: Oscillator Discussion Thread

Post by hotcrystal0 »

P48 pi hassler based on a P49:

Code: Select all

x = 63, y = 51, rule = B3/S23
$35bo$34bobo$33bo2bo$34b2ob2o$35bo3bo$35bobobo9b2o$9b2o19bob2obo12bo2b
o$9bo2bo17b2obobo3bo9bo2bo$10b5o19b2o9bo6bo$7bo7bo19b2ob2o4bobo3bo2bo
$5b3ob7o20bo8b2o3b3o$4bo3b2o4bo21b4o$5b3o2bo3bo23bo6b2o3b3o$7bo2bo2bo
30bobo3bo2bo$11bo25b2o6bo6bo$10b2o21bo3b2o10bo2bo$b2o6bobo20bobo9bo3b
o2bo$o2bo2b2o20b2o2bo2bo4b2o3bo3b2o$3o2b4obo8b2o7b2o3b2o5bo$3b7o9b2o19b
o4bo$2bo$2b2o36bo3bo$40bo2bo$40b3o$19b3o$18bo2bo$17bo3bo36b2o$59bo$16b
o4bo19b2o9b7o$21bo5b2o3b2o7b2o8bob4o2b3o$11b2o3bo3b2o4bo2bo2b2o20b2o2b
o2bo$10bo2bo3bo9bobo20bobo6b2o$9bo2bo10b2o3bo21b2o$9bo6bo6b2o25bo$8bo
2bo3bobo30bo2bo2bo$9b3o3b2o6bo23bo3bo2b3o$22b4o21bo4b2o3bo$9b3o3b2o8b
o20b7ob3o$8bo2bo3bobo4b2ob2o19bo7bo$9bo6bo9b2o19b5o$9bo2bo9bo3bobob2o
17bo2bo$10bo2bo12bob2obo19b2o$11b2o9bobobo$22bo3bo$23b2ob2o$25bo2bo$25b
obo$26bo!
137 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
WhiteHawk
Posts: 1371
Joined: July 10th, 2024, 5:34 pm

Re: Oscillator Discussion Thread

Post by WhiteHawk »

Really weird period-doubling reaction with the p18 2-glider octomino hassler by Mitchell Riley using a different drifty eater 3 (p36)

Code: Select all

x = 19, y = 23, rule = B3/S23
5bo$4bobo$5bo2$3b5o8bo$2bo4bo6b3o$o2bobo7bo$2obob2o6b2o$3bo$3b4o$b2o3b
o4bo$o2b3o3b2ob2o3b2o$2obo5b2o6b2o$3bo4bo4bo$3b2o3bo$9bobo$10bo$5b2o$
4bobo$4bo7b2o$3b2o7bo$13b3o$15bo!
Found while attempting to reduce omnifrequent p18. It's also a shame that that spark can't be exposed

EDIT: Can work with the p18 gun to be more exposed, though it's size may render it's functions limited.

Code: Select all

x = 81, y = 64, rule = B3/S23
36bo4b2o$35bobo3bo19b2o$35bob3obo6bobo10bo3b2o$36bo3bo7b2obo10bo2bo$38b
o12bo3b2o4b2o3bo$37b3o6b4obob3obo2bo2b4o$40bo4bo4bobo4bo3bobo$35b3ob3o
4b2o2bo2b2obob4obob4o$33b2o3bo4b2obob3o2b2obo8bo2bo$31bo2b3o2bo3b2ob2o
3bo2bob2o2b2o$31b5obobo7bob2ob2obo3bobo$8bo27b2obob7o2bobo2b3o3bobo$5b
obobo16b2o3b4o2bob2o7b2o3b2o3b4ob3o$3b3obobo15bo2bobobo9b5o8bobo4bo3b
o$2bo3bobob2ob2o2b2o6bob2obo2b2o3b4o2bo2b2obo4bobo2bobo2b2o$2bo2bo2bo
2bob2o2b2o4b3obo2bo5bobo2bo5bob2o5bo3b2o$2ob2obobo2bo10bo6b2ob3obo$bo
bob2ob3o2b8o2b6o2b2o4bo$o2bobobo3bobo7b2o6bo2bo3bo5bo$2o2bo3bo2b2o2b2o
2bo3bob2obo4bo2bo3b3o9b2o2b2o$5bo2bo2bo3bo4bob2obobo2bo3bo4bo12bobo2b
o$4b3obob3obobo3bo4bo2b4o6bobo8b2obo2b2o3bo$3bobo2b2o2b2o3bo7bo7b2ob3o
bo7bo2bob2o2b6o$2bobo3bobo3b3o3bo2bob2o7bob4o8b2obo4bo6bo$3bo7b2obo2b
7obo7b2o16bo2b2ob3obo2bo$12bo2bobo7bobo3b2obo11b2o3bobo3bobob2obo$12b
ob2obo2b4o2bobobob4o2bo5b4o4b6obo3bo$11b2o2bobobo4b2o2bobo3bo3b2o3b2o
bo2bobobo4bobobo$13bo4bo3b2o2b2o2b7ob2o4b2o2b2obob2ob2o2b2o$13b2o4b2o
b3o3b2o3bo10b2o3bobobo3bobo$11b2o2bo6bo3b2o2b3o6b4o5bo2bo2b3o2bo$12bo
bo2b3o2b2o3bobo2bo5bo6bobo3bo4bobo$12bo2b2o2b3o5bob2ob2o4bobo2bobobob
ob2o4bo6bo$11b2obo7b5obo3bob3o4bobobob2obo2bo9bobo7b2o$10bo3b3o2b2o9b
2ob4ob3o2b2obo3bobobo7bobobo5bo2bo3b2o$11b3o3bo2b2o2b6obo4b3o2b2o3bo3b
o2bobo6bo3bo5bobobo2bo$13bobob2o12bobo4bobo2b3o3b2o4bo4b2ob3o5b2obo2b
obo$15b2o2b3ob4ob2ob2ob2ob2o2bo6bo6b2o2bobobo11bobob2o$11b4o3bo2b8obo
3b2o2b2obob3o2bo9bobo9b5o5bo$10bo4b2obo14bo7bobo2bob2o7b4o7b2o2bo2b2o
b2o$10b5o2bo13bo2bo3b2obobob2obo6b2o6bo3b2o2bo4bobo$8b2o6bo14bob4o6bo
bo2b2ob3o2bob2obobobo4bo5bobo$7bo2bobobob2o17b2ob2ob5o3bobo2bobo4bobo
b4obobo4bo$7b2obobobo2bo13b2o7bo4b2obo2bob2obob2obo2bo4bob2o$10bo2bob
2o8b2o5bo12b2o4bo3bobo2b2o3b3obo$10b2obo3bo6bobo5bo19b2obo2bo8bobo$12b
obob2o6bobo4bo22bob2o10bo$12bobobo7b2o10bo17bo$13bo4bo18bo15b2o$17b2o
16b3o4b2o$43bo$43bob2o$41b3o2bo$40bo3b2o$40b4o$43bo$40b2obob2o$41bobo
2bo$39bo4bo$39b5o2$41bo$40bobo$41bo!
This reaction only works at p18
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis
parrot
Posts: 28
Joined: January 11th, 2026, 5:05 pm

Re: Oscillator Discussion Thread

Post by parrot »

Probably found, a p4 variant of two eaters?

Code: Select all

x = 10, y = 12, rule = B3/S23
4b2o$4bo$6bo$2b5o$2bo$5b2o$5bobo$5bobo$2b2o2bo$bobo3b3o$bo7bo$2o!
User avatar
ElijahKen
Posts: 273
Joined: March 9th, 2024, 7:32 pm

Re: Oscillator Discussion Thread

Post by ElijahKen »

parrot wrote: February 11th, 2026, 10:58 pm Probably found, a p4 variant of two eaters?

Code: Select all

x = 10, y = 12, rule = B3/S23
4b2o$4bo$6bo$2b5o$2bo$5b2o$5bobo$5bobo$2b2o2bo$bobo3b3o$bo7bo$2o!
Yes, it is known. I haven't seen it before though. Nice!

(There are two "soups" on its object page on catagolue, xp4_178cwok46zwc88bq1zy032)

EDIT: Unrelated p64 beehive pusher:

Code: Select all

x = 27, y = 36, rule = B3/S23
9bo3bo3bo$8bobobobobobo$7bo2bobobobo2bo$7b3o2bobo2b3o$12bobo$7b5o3b5o
$6bo13bo$7b3o7b3o$9bo7bo$7b2o4bo4b2o$7bo4bobo4bo$5bobo4bobo4bobo$5b2o
6bo6b2o4$13bo$12b3o2$12b3o$4b2o5b2ob2o5b2o$5bo15bo$5bobo2bo5bo2bobo$6b
2o2bo5bo2b2o2$11b2ob2o$13bo$4b3o13b3o$7bo11bo$3bo3bo11bo3bo$2bobo2bo11b
o2bobo$o2bobo15bobo2bo$o3bo7bobo7bo3bo$o9b3ob3o9bo$b3o5bo7bo5b3o$9b2o
5b2o!
Engineering macro-spaceships is hard.
jeremydover
Posts: 45
Joined: April 6th, 2021, 9:56 am

Re: Oscillator Discussion Thread

Post by jeremydover »

ElijahKen wrote: February 12th, 2026, 11:08 am Unrelated p64 beehive pusher:

Code: Select all

x = 27, y = 36, rule = B3/S23
9bo3bo3bo$8bobobobobobo$7bo2bobobobo2bo$7b3o2bobo2b3o$12bobo$7b5o3b5o
$6bo13bo$7b3o7b3o$9bo7bo$7b2o4bo4b2o$7bo4bobo4bo$5bobo4bobo4bobo$5b2o
6bo6b2o4$13bo$12b3o2$12b3o$4b2o5b2ob2o5b2o$5bo15bo$5bobo2bo5bo2bobo$6b
2o2bo5bo2b2o2$11b2ob2o$13bo$4b3o13b3o$7bo11bo$3bo3bo11bo3bo$2bobo2bo11b
o2bobo$o2bobo15bobo2bo$o3bo7bobo7bo3bo$o9b3ob3o9bo$b3o5bo7bo5b3o$9b2o
5b2o!
Just a single cell stator reduction from a different weld in the top catalyst:

Code: Select all

x = 29, y = 36, rule = B3/S23
11b2o3b2o$10bo2bobo2bo$8bo2bobobobo2bo$8b3o2bobo2b3o$13bobo$8b5o3b5o$
7bo13bo$8b3o7b3o$10bo7bo$8b2o4bo4b2o$8bo4bobo4bo$6bobo4bobo4bobo$6b2o
6bo6b2o4$14bo$13b3o2$13b3o$5b2o5b2ob2o5b2o$6bo15bo$6bobo2bo5bo2bobo$7b
2o2bo5bo2b2o2$12b2ob2o$14bo$5b3o13b3o$8bo11bo$4bo3bo11bo3bo$3bobo2bo
11bo2bobo$bo2bobo15bobo2bo$bo3bo7bobo7bo3bo$bo9b3ob3o9bo$2b3o5bo7bo5b
3o$10b2o5b2o!
User avatar
hotcrystal0
Posts: 4568
Joined: July 3rd, 2020, 5:32 pm
Location: wherever you think I am

Re: Oscillator Discussion Thread

Post by hotcrystal0 »

P65 pipsquirter:

Code: Select all

x = 53, y = 61, rule = B3/S23
$35b2o$34bo2bo2b2o$34bobo2bobo$32b2o2b4o$31bo2b2o4bo$31b3o2b3obo$34bo
bo2bo$26b2ob4obo2b2o$24bo2bobo2bo2bobo$24b2obo5bobobo$27b2o5bo3b2obo$
24b2o3bo5b2obob2o$23bo2b3o2b2o4bo$23bobo3bo2bo2b2o$20b2obob7o4bobob2o
$20b2obobo6b4o2b2obo$23bobo4b2o3bobo$23bobobo4bo3b2o$21b2ob2obob3o$20b
obo3bobo$15bo4bobo3bobob2o$15b3o3bo5bo2bobo$18bo11bobo$17b2o12bo3$41b
2o$11b2o27bobo$4b2o5b2o19bo6bo$4bobo24bobo4bob2o3bo$7bo12bo11bo5bobo5b
o$bo3b2obo11b2o15b2ob3o3bo$o5bobo7bo3bo15bo2bob2o2bo$o3b3ob2o6bo20b3o
$bo2b2obo2bo5bo13bo5bo2bob2o2bo$7b3o20bo6b2ob3o3bo$bo2b2obo2bo15bo3bo
7bobo5bo$o3b3ob2o15b2o11bob2o3bo$o5bobo5bo11bo12bo$bo3b2obo4bobo24bob
o$7bo6bo19b2o5b2o$4bobo27b2o$4b2o3$28b2o$28bo$29b3o$21b2o8bo$21b2o!
137 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
User avatar
johamwit
Posts: 117
Joined: September 12th, 2021, 6:58 am

Re: Oscillator Discussion Thread

Post by johamwit »

ElijahKen wrote: February 12th, 2026, 11:08 am ...
Unrelated p64 beehive pusher:
...
We can just weld a c/2 wire there, so we get a c/2 injector:

Code: Select all

x = 141, y = 592, rule = LifeHistory
43.2E$42.E2.E.2E$42.E.2E.E.E$41.2E.E2.B.E$45.ECB.E.2E$41.3E.E.BCE2.E$
40.E2.E.E.B2.E$40.2E.E.B2C2E$41.E.E.B$41.E.B2C4E$38.2E.E.B5.E$34.2E.E
.E.B2C5E$30.2E.E.E.E.E.B$30.2E.E.E.E.B2C3E2.2E$33.E.E.E.B4.E2.2E$30.
2E.E.E.B2C4E$26.2E.E.E.E.E.B$26.2E.E.E.E.B2C3E.2E$29.E.E.E.B4.E.2E$
26.2E.E.E.B2C4E$22.2E.E.E.E.E.B$22.2E.E.E.E.B2C3E.2E$25.E.E.E.B4.E.2E
$22.2E.E.E.B2C4E$18.2E.E.E.E.E.B$18.2E.E.E.E.B2C3E.2E$21.E.E.E.A4.E.
2E$18.2E.E.E.BCD4E$6.A7.2E.E.E.E.E.B$5.A.A.2A4.E.E.E.E.B2C3E.2E$4.A2.
A.A5.E.E.E.E.B4.E.2E$4.3AB.A2.2A.E.E.E.B2C4E$7.B.A.A.A.E.E.E.B$4.5AB.
A.A.E.E.B2C3E.2E$4.A4.B.A.A.E.E.B4.E.2E$5.6AB.A.E.B2C4E$11.B.A.E.B$7.
6AB.B2C4E$7.A2.B.5B.B2.E$8.3A7BC2E$10.A7BC$8.2AB.2BC2B.B2E$8.A3.BCBCB
3.E$6.A.A3.BCBCB3.E.E$6.2A4.2BC2B4.2E$13.3B$11.7B$11.2B3C2B$10.2BC3BC
2B$11.B2CB2CB$12.BCBCB$11.7B$5.2E4.7B4.2E$6.E4.7B4.E$6.E.EB.3BC3B.BE.
E$7.ECB.2BCBC2B.BCE$9.3BC3BC3B$8.4BC3BC4B$6.2B.3BC3BC3B.2B$5.3B2.3BCB
C3B2.3B$5.3C6BC6B3C$4.B3C2B.7B.2B3CB$3.B.3CB2.7B2.B3C.B$.B3C.B6.3B6.B
.3CB$2B3CB7.E.E7.B3C2B$2B3C6.3E.3E6.3C2B$2.3B5.E7.E5.3B$2.2B6.2E5.2E
6.2B!
I remember seeing something similar elsewhere here; I was looking for it to cap one of the wires.

EDIT: It was known for some time:
C_R_116 wrote: April 4th, 2024, 9:24 pm ...
There's also this new injector...
I’ve cut off one of the antlers.

EDIT2: Simplified, to 14 cells/step. Perhaps this post would fit better in the "faster c/2 wire" thread.

Code: Select all

x = 653, y = 589, rule = LifeHistory
8$26.2E$26.E.E$23.2E.E2.E$19.2A.E.E2.3E$19.2A.E.E$22.E2.5E$13.2E4.2A.
E6.E$13.E2.E.A.A2.6E$14.3E.A.A$18.A2.5A.2A$5.E8.3E.A6.A.2A$4.E.E.2E3.
E2.E2.6A$3.E2.E.E.E.E.E.E$3.3E2.E.E.E.E2.5E.2E$8.E.E.E.E6.E.2E$.7E2.E
.E2.6E$.E8.E.E$4.6E3.6E$4.E13.E$5.3E7.3E$7.E3.A3.E$5.2E2.2A.2A2.2E$5.
E11.E$3.E.E11.E.E$3.2E13.2E!
Oh my God! -- it's full of search space!
User avatar
KtT
Posts: 601
Joined: December 17th, 2022, 9:29 am

Re: Oscillator Discussion Thread

Post by KtT »

P120 honey farm/wing hassler, a reduction of this oscillator that can be seen in the catforce_stdin at Catagolue:

Code: Select all

x = 54, y = 40, rule = B3/S23
11bo$10bobo$9bo3bo3b3o$9bo3bo4bo$9bo3bo4bo$9bo3bo4bo24b4o$9bo3bo4bo19b
2o7bo$9bo3bo3b3o18b2o2b2o3bo$10bobo29b2o2bo$11bo3$46b2o$45bo2bo$45bob
o2bo2bo$3b2o2bo36b2obob5o$3bo2bobo26b2o6bo3bo$4bobobo10bo13bo2bo6bo4b
ob2o$3b2obob2o8bobo11bo4bo5bo3b2o3bo$2bo3bo3bo6bo3bo10bo3bo6bo4bobobo
$bobobo4bo6bo3bo10bo3bo6bo3bo3bo$bo3b2o3bo5bo4bo11bobo8b2obob2o$2b2ob
o4bo6bo2bo13bo10bobobo$6bo3bo6b2o26bobo2bo$5obob2o36bo2b2o$o2bo2bobo$
5bo2bo$6b2o3$42bo$7bo2b2o29bobo$6bo3b2o2b2o18b3o3bo3bo$6bo7b2o19bo4bo
3bo$7b4o24bo4bo3bo$35bo4bo3bo$35bo4bo3bo$34b3o3bo3bo$41bobo$42bo!
User avatar
C_R_116
Posts: 864
Joined: April 15th, 2021, 2:49 pm
Location: At my home doing other random stuff.

Re: Oscillator Discussion Thread

Post by C_R_116 »

P54 lom hassler that uses a p.a. lom => 2 loaves reaction:

Code: Select all

x = 39, y = 40, rule = B3/S23
15b2o$14bobo$14bo$12b2ob4o$8b2obobobo2bo$8b2obo4bo2b2o$11bob2o2b2o2bo$
11bobob2o2b2obo$12bo5bo3bo$13b3obob3o$15bobobo13b2o$35bob2o$12b2o2b3o
12bo2bo2b2o$6bo5b2o17bobo$6b3o23bo$9bo$8b2o22b2o$32b2o$17b3o$17bo2b2o$
17b2o2bo$19b3o$5b2o$5b2o22b2o$29bo$6bo23b3o$5bobo17b2o5bo$2o2bo2bo12b
3o2b2o$2obo$4b2o13bobobo$17b3obob3o$16bo3bo5bo$16bob2o2b2obobo$17bo2b
2o2b2obo$18b2o2bo4bob2o$20bo2bobobob2o$20b4ob2o$24bo$22bobo$22b2o!
This is similar to the original reaction which uses V sparks:

Code: Select all

x = 85, y = 20, rule = B3/S23
80bo$79bob4o$58b2o18bobob3o$16bo35bo5b2o3bo13bobo$52b3o23bo$17b2o3bo2b
2o4b2o2bo19bo8b2o12b2o$16bo2bobo3b3o2b3o3bo17b2o7bo2bo11b2o$16bobo3bo
2b2o4b2o2bo27bobo12b2o$17bo46bo3$19bo46bo$bo2b2o4b2o2bo3bobo30b2o12bo
bo$o3b3o2b3o3bobo2bo30b2o11bo2bo7b2o$bo2b2o4b2o2bo3b2o31b2o12b2o8bo$52b
o23b3o$20bo30bobo13bo3b2o5bo$46b3obobo18b2o$46b4obo$50bo!
edit: p60 lom:

Code: Select all

x = 51, y = 28, rule = B3/S23
27b6o12b2o$26bo6bo11b2o$25bo8bo$26bo6bo9b4o$27b6o9bo4bo$41bob5o$18b2o
21bo2bo3b2o$12bo5b2o20b2obob3o2bo$12b3o28bobobob2o$15bo21b2o2b2obo2bo$
14b2o26bobob2o$40b2obobo$23b3o15bobobo$7b2o14bo2b2o13bo2bo$6bo2bo13b2o
2bo14b2o$5bobobo15b3o$5bobob2o$3b2obobo26b2o$3bo2bob2o2b2o21bo$2obobob
o28b3o$o2b3obob2o20b2o5bo$b2o3bo2bo21b2o$3b5obo$3bo4bo9b6o$4b4o9bo6bo$
16bo8bo$4b2o11bo6bo$4b2o12b6o!
edit2: p48 lom:

Code: Select all

x = 44, y = 28, rule = B3/S23
35bo3bo$4bo3bo24b2obobob2o$2b2obobob2o21bo3bobo3bo$bo3bobo3bo19bo3b2ob
2o3bo$o3b2ob2o3bo18bobo7bobo$obo7bobo19bo9bo$bo9bo$35b2ob2o$4b2ob2o25b
obobobo$3bobobobo25bo3bo$4bo3bo4$20b3o$22b3o$9b2o$9bo2bo$10bobo19b2o$
32bo$33b3o$28b2o5bo$28b2o$14bobo$13bo$8b2o2bo4bo$8b2obo2bob2o$12b2o!
User avatar
hotcrystal0
Posts: 4568
Joined: July 3rd, 2020, 5:32 pm
Location: wherever you think I am

Re: Oscillator Discussion Thread

Post by hotcrystal0 »

wwei47 wrote: May 6th, 2025, 12:38 pm EDIT: Completions from a different frontend:

Code: Select all

x = 1316, y = 132, rule = B3/S23
o3bo3bo3bo15b2o6b2o12bo3bo3bobobo16b2o6b2o11bo3bo3bobobo15b2o6b2o12bob
obo3bobobo15b2o6b2o20b2o6b2o21b2o6b2o11bobobo3bo3bo16b2o6b2o11bobobo3b
obobo16b2o6b2o11bobobo3bobobo15b2o6b2o12bobobo3bobobo15b2o6b2o12bobobo
3bo3bo15b2o6b2o12bobobo3bobobo15b2o6b2o12bobobo3bobobo15b2o6b2o21b2o6b
2o11bobobo3bobo17b2o6b2o20b2o6b2o12bobobo3bobobo16b2o6b2o11bobobo3bobo
bo15b2o6b2o12bobobo3bobobo15b2o6b2o12bobobo3bobobo16b2o6b2o11bobobo3bo
bobo15b2o6b2o12bobobo3bobobo15b2o6b2o20b2o6b2o14bobo5bobobo3bobo20b2o
6b2o11bobo5bobo5bobo17b2o6b2o14bobo5bobobo3bobobo15b2o6b2o20b2o6b2o14b
obo5bobobo3bobobo15b2o6b2o$26bo4bo2bo4bo37bo4bo2bo4bo35bo4bo2bo4bo36bo
4bo2bo4bo16bo4bo2bo4bo17bo4bo2bo4bo36bo4bo2bo4bo36bo4bo2bo4bo35bo4bo2b
o4bo36bo4bo2bo4bo36bo4bo2bo4bo36bo4bo2bo4bo36bo4bo2bo4bo17bo4bo2bo4bo
35bo4bo2bo4bo16bo4bo2bo4bo37bo4bo2bo4bo35bo4bo2bo4bo36bo4bo2bo4bo37bo
4bo2bo4bo35bo4bo2bo4bo36bo4bo2bo4bo16bo4bo2bo4bo49bo4bo2bo4bo43bo4bo2b
o4bo46bo4bo2bo4bo16bo4bo2bo4bo46bo4bo2bo4bo$o3bo3bo3bo9b2obo5bo2bo5bob
2o6bo3bo3bo14b2obo5bo2bo5bob2o5bo3bo3bo3bo9b2obo5bo2bo5bob2o6bo11bo9b
2obo5bo2bo5bob2o8b2obo5bo2bo5bob2o9b2obo5bo2bo5bob2o5bo7bo3bo10b2obo5b
o2bo5bob2o5bo7bo14b2obo5bo2bo5bob2o5bo11bo9b2obo5bo2bo5bob2o6bo7bo3bo
9b2obo5bo2bo5bob2o6bo7bo3bo9b2obo5bo2bo5bob2o6bo7bo13b2obo5bo2bo5bob2o
10bo3bo3bo9b2obo5bo2bo5bob2o9b2obo5bo2bo5bob2o9bo5bo11b2obo5bo2bo5bob
2o8b2obo5bo2bo5bob2o10bo3bo14b2obo5bo2bo5bob2o9bo3bo3bo9b2obo5bo2bo5bo
b2o6bo3bo7bo9b2obo5bo2bo5bob2o6bo3bo3bo14b2obo5bo2bo5bob2o5bo3bo7bo9b
2obo5bo2bo5bob2o6bo3bo7bo9b2obo5bo2bo5bob2o8b2obo5bo2bo5bob2o10bo5bo3b
o5bo14b2obo5bo2bo5bob2o7bo7bo7bo11b2obo5bo2bo5bob2o10bo9bo3bo13b2obo5b
o2bo5bob2o8b2obo5bo2bo5bob2o10bo9bo3bo3bo9b2obo5bo2bo5bob2o$22bo9b2o9b
o29bo9b2o9bo27bo9b2o9bo28bo9b2o9bo8bo9b2o9bo9bo9b2o9bo28bo9b2o9bo28bo
9b2o9bo27bo9b2o9bo28bo9b2o9bo28bo9b2o9bo28bo9b2o9bo28bo9b2o9bo9bo9b2o
9bo27bo9b2o9bo8bo9b2o9bo29bo9b2o9bo27bo9b2o9bo28bo9b2o9bo29bo9b2o9bo
27bo9b2o9bo28bo9b2o9bo8bo9b2o9bo41bo9b2o9bo35bo9b2o9bo38bo9b2o9bo8bo9b
2o9bo38bo9b2o9bo$obobo3bobobo10b3ob2o2bo2bo2b2ob3o7bobobo3bobobo11b3ob
2o2bo2bo2b2ob3o6bobobo3bobobo10b3ob2o2bo2bo2b2ob3o7bobobo3bobobo10b3ob
2o2bo2bo2b2ob3o10b3ob2o2bo2bo2b2ob3o11b3ob2o2bo2bo2b2ob3o6bobobo3bobob
o11b3ob2o2bo2bo2b2ob3o6bobobo3bobobo11b3ob2o2bo2bo2b2ob3o6bobobo7bo10b
3ob2o2bo2bo2b2ob3o7bobobo3bobobo10b3ob2o2bo2bo2b2ob3o7bobobo3bobobo10b
3ob2o2bo2bo2b2ob3o7bobobo3bobobo10b3ob2o2bo2bo2b2ob3o11bo3bo3bo10b3ob
2o2bo2bo2b2ob3o11b3ob2o2bo2bo2b2ob3o10bo5bo12b3ob2o2bo2bo2b2ob3o10b3ob
2o2bo2bo2b2ob3o11bo3bobobo11b3ob2o2bo2bo2b2ob3o10bo3bobobo10b3ob2o2bo
2bo2b2ob3o7bobobo3bobobo10b3ob2o2bo2bo2b2ob3o7bobobo3bobobo11b3ob2o2bo
2bo2b2ob3o6bobobo7bo10b3ob2o2bo2bo2b2ob3o7bobobo3bobobo10b3ob2o2bo2bo
2b2ob3o10b3ob2o2bo2bo2b2ob3o11bo5bo3bo5bo15b3ob2o2bo2bo2b2ob3o8bo7bo7b
o12b3ob2o2bo2bo2b2ob3o11bo5bobobo3bobobo10b3ob2o2bo2bo2b2ob3o10b3ob2o
2bo2bo2b2ob3o11bo5bobobo3bobobo10b3ob2o2bo2bo2b2ob3o$29b3o2b3o43b3o2b
3o41b3o2b3o42b3o2b3o22b3o2b3o23b3o2b3o42b3o2b3o42b3o2b3o41b3o2b3o42b3o
2b3o42b3o2b3o42b3o2b3o42b3o2b3o23b3o2b3o41b3o2b3o22b3o2b3o43b3o2b3o41b
3o2b3o42b3o2b3o43b3o2b3o41b3o2b3o42b3o2b3o22b3o2b3o55b3o2b3o49b3o2b3o
52b3o2b3o22b3o2b3o52b3o2b3o$4bo7bo10b2o6bo2bo6b2o11bo7bo11b2o6bo2bo6b
2o10bo3bo3bo10b2o6bo2bo6b2o11bo7bo10b2o6bo2bo6b2o10b2o6bo2bo6b2o11b2o
6bo2bo6b2o10bo7bo11b2o6bo2bo6b2o10bo3bo3bo11b2o6bo2bo6b2o10bo7bo10b2o
6bo2bo6b2o11bo3bo3bo10b2o6bo2bo6b2o7bo3bo7bo10b2o6bo2bo6b2o7bo3bo3bo3b
o10b2o6bo2bo6b2o11bo3bo3bo10b2o6bo2bo6b2o11b2o6bo2bo6b2o10bo5bo12b2o6b
o2bo6b2o10b2o6bo2bo6b2o11bo3bo3bo11b2o6bo2bo6b2o10bo3bo3bo10b2o6bo2bo
6b2o7bo3bo7bo10b2o6bo2bo6b2o7bo3bo3bo3bo11b2o6bo2bo6b2o6bo3bo7bo10b2o
6bo2bo6b2o11bo7bo10b2o6bo2bo6b2o10b2o6bo2bo6b2o11bo5bo3bo5bo15b2o6bo2b
o6b2o8bo7bo7bo12b2o6bo2bo6b2o11bo5bo7bo3bo10b2o6bo2bo6b2o10b2o6bo2bo6b
2o11bo5bo7bo3bo10b2o6bo2bo6b2o$23bo6bo4bo6bo31bo6bo4bo6bo29bo6bo4bo6bo
30bo6bo4bo6bo10bo6bo4bo6bo11bo6bo4bo6bo30bo6bo4bo6bo30bo6bo4bo6bo29bo
6bo4bo6bo30bo6bo4bo6bo30bo6bo4bo6bo30bo6bo4bo6bo30bo6bo4bo6bo11bo6bo4b
o6bo29bo6bo4bo6bo10bo6bo4bo6bo31bo6bo4bo6bo29bo6bo4bo6bo30bo6bo4bo6bo
31bo6bo4bo6bo29bo6bo4bo6bo30bo6bo4bo6bo10bo6bo4bo6bo43bo6bo4bo6bo37bo
6bo4bo6bo40bo6bo4bo6bo10bo6bo4bo6bo40bo6bo4bo6bo$4bo7bo8bobo3bo10bo3bo
bo9bo3bobobo9bobo3bo10bo3bobo8bo3bobobo8bobo3bo10bo3bobo5bobobo3bobobo
8bobo3bo10bo3bobo6bobo3bo10bo3bobo7bobo3bo10bo3bobo4bobobo7bo9bobo3bo
10bo3bobo4bobobo3bobobo9bobo3bo10bo3bobo4bobobo7bo8bobo3bo10bo3bobo5bo
bobo3bobobo8bobo3bo10bo3bobo5bobobo7bo8bobo3bo10bo3bobo5bobobo3bobobo
8bobo3bo10bo3bobo9bo3bobobo8bobo3bo10bo3bobo7bobo3bo10bo3bobo8bo3bobob
o7b2obo3bo10bo3bob2o5bobo3bo10bo3bobo9bo3bobobo9bobo3bo10bo3bobo8bo3bo
bobo8bobo3bo10bo3bobo5bobobo3bobobo8bobo3bo10bo3bobo5bobobo3bobobo9bob
o3bo10bo3bobo4bobobo7bo8bobo3bo10bo3bobo5bobobo3bobobo8bobo3bo10bo3bob
o6bobo3bo10bo3bobo7bobobo3bobobo3bobobo11bobo3bo10bo3bobo4bobobo3bobob
o3bobobo8bobo3bo10bo3bobo7bobobo3bobobo3bobobo8bobo3bo10bo3bobo6bobo3b
o10bo3bobo7bobobo3bobobo3bobobo8bobo3bo10bo3bobo$20bobo3bobob6obobo3bo
bo25bobo3bobob6obobo3bobo23bobo3bobob6obobo3bobo24bobo3bobob6obobo3bob
o4bobo3bobob6obobo3bobo5bobo3bobob6obobo3bobo24bobo3bobob6obobo3bobo
24bobo3bobob6obobo3bobo23bobo3bobob6obobo3bobo24bobo3bobob6obobo3bobo
24bobo3bobob6obobo3bobo24bobo3bobob6obobo3bobo24bobo3bobob6obobo3bobo
5bobo3bobob6obobo3bobo23bobo3bobob6obobo3bobo4bobo3bobob6obobo3bobo25b
obo3bobob6obobo3bobo23bobo3bobob6obobo3bobo24bobo3bobob6obobo3bobo25bo
bo3bobob6obobo3bobo23bobo3bobob6obobo3bobo24bobo3bobob6obobo3bobo4bobo
3bobob6obobo3bobo37bobo3bobob6obobo3bobo31bobo3bobob6obobo3bobo34bobo
3bobob6obobo3bobo4bobo3bobob6obobo3bobo34bobo3bobob6obobo3bobo$20bo2b
4o4bo2bo4b4o2bo25bo2b4o4bo2bo4b4o2bo23bo2b4o4bo2bo4b4o2bo24bo2b4o4bo2b
o4b4o2bo4bo2b4o4bo2bo4b4o2bo5bo2b4o4bo2bo4b4o2bo24bo2b4o4bo2bo4b4o2bo
24bo2b4o4bo2bo4b4o2bo23bo2b4o4bo2bo4b4o2bo24bo2b4o4bo2bo4b4o2bo24bo2b
4o4bo2bo4b4o2bo24bo2b4o4bo2bo4b4o2bo24bo2b4o4bo2bo4b4o2bo5bo2b4o4bo2bo
4b4o2bo26b4o4bo2bo4b4o7bo2b4o4bo2bo4b4o2bo25bo2b4o4bo2bo4b4o2bo23bo2b
4o4bo2bo4b4o2bo24bo2b4o4bo2bo4b4o2bo25bo2b4o4bo2bo4b4o2bo23bo2b4o4bo2b
o4b4o2bo24bo2b4o4bo2bo4b4o2bo4bo2b4o4bo2bo4b4o2bo37bo2b4o4bo2bo4b4o2bo
31bo2b4o4bo2bo4b4o2bo34bo2b4o4bo2bo4b4o2bo4bo2b4o4bo2bo4b4o2bo34bo2b4o
4bo2bo4b4o2bo$21b2o5b2o2b2o2b2o5b2o27b2o5b2o2b2o2b2o5b2o25b2o5b2o2b2o
2b2o5b2o26b2o5b2o2b2o2b2o5b2o6b2o5b2o2b2o2b2o5b2o7b2o5b2o2b2o2b2o5b2o
26b2o5b2o2b2o2b2o5b2o26b2o5b2o2b2o2b2o5b2o25b2o5b2o2b2o2b2o5b2o26b2o5b
2o2b2o2b2o5b2o26b2o5b2o2b2o2b2o5b2o26b2o5b2o2b2o2b2o5b2o26b2o5b2o2b2o
2b2o5b2o7b2o5b2o2b2o2b2o5b2o25b2o5b2o2b2o2b2o5b2o6b2o5b2o2b2o2b2o5b2o
27b2o5b2o2b2o2b2o5b2o25b2o5b2o2b2o2b2o5b2o26b2o5b2o2b2o2b2o5b2o27b2o5b
2o2b2o2b2o5b2o25b2o5b2o2b2o2b2o5b2o26b2o5b2o2b2o2b2o5b2o6b2o5b2o2b2o2b
2o5b2o39b2o5b2o2b2o2b2o5b2o33b2o5b2o2b2o2b2o5b2o36b2o5b2o2b2o2b2o5b2o
6b2o5b2o2b2o2b2o5b2o36b2o5b2o2b2o2b2o5b2o$22bob3o3b2o2b2o3b3obo29bob3o
3b2o2b2o3b3obo27bob3o3b2o2b2o3b3obo28bob3o3b2o2b2o3b3obo8bob3o3b2o2b2o
3b3obo11b3o3b2o2b2o3b3o32b3o3b2o2b2o3b3o30bob3o3b2o2b2o3b3obo27bob3o3b
2o2b2o3b3obo28bob3o3b2o2b2o3b3obo28bob3o3b2o2b2o3b3obo28bob3o3b2o2b2o
3b3obo28bob3o3b2o2b2o3b3obo9bob3o3b2o2b2o3b3obo25bobob3o3b2o2b2o3b3obo
bo8b3o3b2o2b2o3b3o31bob3o3b2o2b2o3b3obo27bob3o3b2o2b2o3b3obo28bob3o3b
2o2b2o3b3obo29bob3o3b2o2b2o3b3obo27bob3o3b2o2b2o3b3obo28bob3o3b2o2b2o
3b3obo8bob3o3b2o2b2o3b3obo41bob3o3b2o2b2o3b3obo35bob3o3b2o2b2o3b3obo
38bob3o3b2o2b2o3b3obo8bob3o3b2o2b2o3b3obo38bob3o3b2o2b2o3b3obo$20bo2bo
4bobob2obobo4bo2bo25bo2bo4bobob2obobo4bo2bo23bo2bo4bobob2obobo4bo2bo
24bo2bo4bobob2obobo4bo2bo4bo2bo4bobob2obobo4bo2bo6b3o4bobob2obobo4b3o
26b3o4bobob2obobo4b3o25bo2bo4bobob2obobo4bo2bo23bo2bo4bobob2obobo4bo2b
o24bo2bo4bobob2obobo4bo2bo24bo2bo4bobob2obobo4bo2bo24bo2bo4bobob2obobo
4bo2bo24bo2bo4bobob2obobo4bo2bo5bo2bo4bobob2obobo4bo2bo23bo2bo4bobob2o
bobo4bo2bo5b3o4bobob2obobo4b3o26bo2bo4bobob2obobo4bo2bo23bo2bo4bobob2o
bobo4bo2bo24bo2bo4bobob2obobo4bo2bo25bo2bo4bobob2obobo4bo2bo23bo2bo4bo
bob2obobo4bo2bo24bo2bo4bobob2obobo4bo2bo4bo2bo4bobob2obobo4bo2bo37bo2b
o4bobob2obobo4bo2bo31bo2bo4bobob2obobo4bo2bo34bo2bo4bobob2obobo4bo2bo
4bo2bo4bobob2obobo4bo2bo34bo2bo4bobob2obobo4bo2bo$20b2obo2b2o4b2o4b2o
2bob2o25b2obo2b2o4b2o4b2o2bob2o23b2obo2b2o4b2o4b2o2bob2o24b2obo2b2o4b
2o4b2o2bob2o4b2obo2b2o4b2o4b2o2bob2o5bo2bo2b2o4b2o4b2o2bo2bo24bo2bo2b
2o4b2o4b2o2bo2bo24b2obo2b2o4b2o4b2o2bob2o23b2obo2b2o4b2o4b2o2bob2o24b
2obo2b2o4b2o4b2o2bob2o24b2obo2b2o4b2o4b2o2bob2o24b2obo2b2o4b2o4b2o2bob
2o24b2obo2b2o4b2o4b2o2bob2o5b2obo2b2o4b2o4b2o2bob2o24bobo2b2o4b2o4b2o
2bobo5bo2bo2b2o4b2o4b2o2bo2bo25b2obo2b2o4b2o4b2o2bob2o23b2obo2b2o4b2o
4b2o2bob2o24b2obo2b2o4b2o4b2o2bob2o25b2obo2b2o4b2o4b2o2bob2o23b2obo2b
2o4b2o4b2o2bob2o24b2obo2b2o4b2o4b2o2bob2o4b2obo2b2o4b2o4b2o2bob2o37b2o
bo2b2o4b2o4b2o2bob2o31b2obo2b2o4b2o4b2o2bob2o34b2obo2b2o4b2o4b2o2bob2o
4b2obo2b2o4b2o4b2o2bob2o34b2obo2b2o4b2o4b2o2bob2o$23bobo2bo8bo2bobo31b
obo2bo8bo2bobo29bobo2bo8bo2bobo30bobo2bo8bo2bobo10bobo2bo8bo2bobo8b2ob
obo2bo8bo2bobob2o24b2obobo2bo8bo2bobob2o25bobobo2bo8bo2bobobo27bobo2bo
8bo2bobo30bobo2bo8bo2bobo30bobo2bo8bo2bobo30bobo2bo8bo2bobo30bobo2bo8b
o2bobo9bobobo2bo8bo2bobobo24b2obobo2bo8bo2bobob2o4b2obobo2bo8bo2bobob
2o28bobo2bo8bo2bobo29bobo2bo8bo2bobo30bobo2bo8bo2bobo29bobobo2bo8bo2bo
bobo27bobo2bo8bo2bobo30bobo2bo8bo2bobo10bobo2bo8bo2bobo43bobo2bo8bo2bo
bo37bobo2bo8bo2bobo40bobo2bo8bo2bobo10bobo2bo8bo2bobo40bobo2bo8bo2bobo
$23bo2bobo8bobo2bo31bo2bobo8bobo2bo29bo2bobo8bobo2bo30bo2bobo8bobo2bo
10bo2bobo8bobo2bo11bo2bobo8bobo2bo30bo2bobo8bobo2bo26bo3bo2bobo8bobo2b
o3bo25bo2bobo8bobo2bo27b2obob3o10b3obob2o24b2obob3o10b3obob2o27bo2bobo
8bobo2bo30bo2bobo8bobo2bo7bo3bo2bobo8bobo2bo3bo25bo2bobo8bobo2bo10bo2b
obo8bobo2bo28b2obob3o10b3obob2o26bo2bobo8bobo2bo27b2obob3o10b3obob2o
24bo3bo2bobo8bobo2bo3bo22b2obob3o10b3obob2o24b2obob3o10b3obob2o4b2obob
3o10b3obob2o37b2obob3o10b3obob2o31b2obob3o10b3obob2o34b2obob3o10b3obob
2o4b2obob3o10b3obob2o34b2obob3o10b3obob2o$21b2obobo4bo2bo4bobob2o27b2o
bobo4bo2bo4bobob2o25b2obobo4bo2bo4bobob2o26b2obobo4bo2bo4bobob2o6b2obo
bo4bo2bo4bobob2o9b4o12b4o30b4o12b4o26b2o2b4o12b4o2b2o23b2obobo4bo2bo4b
obob2o25b2obo2b3o8b3o2bob2o24b2obo2b3o8b3o2bob2o25b2obobo4bo2bo4bobob
2o29bobo12bobo8b2o2b4o12b4o2b2o25b4o12b4o10b4o12b4o28b2obo2b3o8b3o2bob
2o27bobo12bobo28b2obo2b3o8b3o2bob2o24b2o2b4o12b4o2b2o22b2obo2b3o8b3o2b
ob2o24b2obo2b3o8b3o2bob2o4b2obo2b3o8b3o2bob2o37b2obo2b3o8b3o2bob2o31b
2obo2b3o8b3o2bob2o34b2obo2b3o8b3o2bob2o4b2obo2b3o8b3o2bob2o34b2obo2b3o
8b3o2bob2o$22bobo2b4o4b4o2bobo29bobo2b4o4b4o2bobo27bobo2b4o4b4o2bobo
28bobo2b4o4b4o2bobo8bobo2b4o4b4o2bobo14b2o8b2o38b2o8b2o38b2o8b2o32bobo
2b4o4b4o2bobo29bo18bo30bo18bo29bobo2b4o4b4o2bobo31bo4bo4bo4bo17b2o8b2o
37b2o8b2o18b2o8b2o35bo18bo31bo4bo4bo4bo32bo18bo35b2o8b2o33bo18bo30bo
18bo10bo18bo43bo18bo37bo18bo40bo18bo10bo18bo40bo18bo$20bobobo16bobobo
25bobobo16bobobo23bobobo16bobobo24bobobo16bobobo4bobobo16bobobo8b3ob5o
2b5ob3o30b3ob5o2b5ob3o30b3ob5o2b5ob3o26bobobo16bobobo27b2o4bob4obo4b2o
30b2o4bob4obo4b2o27bobobo16bobobo30b3obo4bob3o14b3ob5o2b5ob3o29b3ob5o
2b5ob3o10b3ob5o2b5ob3o31b2o4bob4obo4b2o32b3obo4bob3o33b2o4bob4obo4b2o
31b3ob5o2b5ob3o29b2o4bob4obo4b2o30b2o4bob4obo4b2o10b2o4bob4obo4b2o43b
2o4bob4obo4b2o37b2o4bob4obo4b2o40b2o4bob4obo4b2o10b2o4bob4obo4b2o40b2o
4bob4obo4b2o$20b2o2b2o4bo4bo4b2o2b2o25b2o2b2o4bo4bo4b2o2b2o23b2o2b2o4b
o4bo4b2o2b2o24b2o2b2o4bo4bo4b2o2b2o4b2o2b2o4bo4bo4b2o2b2o7bobo3bo8bo3b
obo28bobo3bo8bo3bobo28bobo3bo8bo3bobo25b2o2b2o4bo4bo4b2o2b2o33b3o2b3o
42b3o2b3o33b2o2b2o4bo4bo4b2o2b2o27b3o14b3o10bobo3bo8bo3bobo27bobo3bo8b
o3bobo8bobo3bo8bo3bobo36b3o2b3o35b3o14b3o36b3o2b3o36bobo3bo8bo3bobo34b
3o2b3o42b3o2b3o22b3o2b3o55b3o2b3o49b3o2b3o52b3o2b3o22b3o2b3o52b3o2b3o$
24bo2bo3bo2bo3bo2bo33bo2bo3bo2bo3bo2bo31bo2bo3bo2bo3bo2bo32bo2bo3bo2bo
3bo2bo12bo2bo3bo2bo3bo2bo11bo3b2ob2o4b2ob2o3bo28bo3b2ob2o4b2ob2o3bo27b
o4b2ob2o4b2ob2o4bo28bo2bo3bo2bo3bo2bo36bo2bo2bo2bo40bo2bo2bo2bo36bo2bo
3bo2bo3bo2bo31bo2b3obob2obob3o2bo10bo3b2ob2o4b2ob2o3bo27bo3b2ob2o4b2ob
2o3bo8bo3b2ob2o4b2ob2o3bo35bo2bo2bo2bo34bo2b3obob2obob3o2bo35bo2bo2bo
2bo35bo3b2ob2o4b2ob2o3bo33bo2bo2bo2bo40bo2bo2bo2bo20bo2bo2bo2bo53bo2bo
2bo2bo47bo2bo2bo2bo50bo2bo2bo2bo20bo2bo2bo2bo50bo2bo2bo2bo$25b3o4b2o4b
3o35b3o4b2o4b3o33b3o4b2o4b3o34b3o4b2o4b3o14b3o4b2o4b3o13b3o2bob6obo2b
3o30b3o2bob6obo2b3o29b4o2bob6obo2b4o30b3o4b2o4b3o33b2o14b2o32b2o14b2o
33b3o4b2o4b3o33bo7b2o7bo12b3o2bob6obo2b3o29b3o2bob6obo2b3o10b3o2bob6ob
o2b3o32b2o14b2o31bo7b2o7bo32b2o14b2o32b3o2bob6obo2b3o30b2o14b2o32b2o
14b2o12b2o14b2o45b2o14b2o39b2o14b2o42b2o14b2o12b2o14b2o42b2o14b2o$22b
3o4bobo2bobo4b3o29b3o4bobo2bobo4b3o27b3o4bobo2bobo4b3o28b3o4bobo2bobo
4b3o8b3o4bobo2bobo4b3o13bob4o2b4obo36bob4o2b4obo36bob4o2b4obo31b3o4bob
o2bobo4b3o31bo2bobo4bobo2bo34bo2bobo4bobo2bo31b3o4bobo2bobo4b3o31b3o
10b3o16bob4o2b4obo35bob4o2b4obo16bob4o2b4obo36bo2bobo4bobo2bo33b3o10b
3o34bo2bobo4bobo2bo36bob4o2b4obo34bo2bobo4bobo2bo34bo2bobo4bobo2bo14bo
2bobo4bobo2bo47bo2bobo4bobo2bo41bo2bobo4bobo2bo44bo2bobo4bobo2bo14bo2b
obo4bobo2bo44bo2bobo4bobo2bo$22bo2b2obo8bob2o2bo29bo2b2obo8bob2o2bo27b
o2b2obo8bob2o2bo28bo2b2obo8bob2o2bo8bo2b2obo8bob2o2bo8b4o5b2o2b2o5b4o
26b4o5b2o2b2o5b4o26bob2o5b2o2b2o5b2obo26bo2b2obo8bob2o2bo30bo3bobo4bob
o3bo32bo3bobo4bobo3bo30bo2b2obo8bob2o2bo28b3o5b2o2b2o5b3o8b4o5b2o2b2o
5b4o25b4o5b2o2b2o5b4o6b4o5b2o2b2o5b4o30bo3bobo4bobo3bo29b3o5b2o2b2o5b
3o30bo3bobo4bobo3bo30b4o5b2o2b2o5b4o28bo3bobo4bobo3bo32bo3bobo4bobo3bo
12bo3bobo4bobo3bo45bo3bobo4bobo3bo39bo3bobo4bobo3bo42bo3bobo4bobo3bo
12bo3bobo4bobo3bo42bo3bobo4bobo3bo$23bobo3b2o4b2o3bobo31bobo3b2o4b2o3b
obo29bobo3b2o4b2o3bobo30bobo3b2o4b2o3bobo10bobo3b2o4b2o3bobo9bo2bob5o
4b5obo2bo26bo2bob5o4b5obo2bo26b2obob5o4b5obob2o27bobo3b2o4b2o3bobo31b
2o4b2o2b2o4b2o32b2o4b2o2b2o4b2o31bobo3b2o4b2o3bobo28bo3bobo2b2o2b2o2bo
bo3bo7bo2bob5o4b5obo2bo25bo2bob5o4b5obo2bo6bo2bob5o4b5obo2bo30b2o4b2o
2b2o4b2o29bo2bobo2b2o2b2o2bobo2bo30b2o4b2o2b2o4b2o30bo2bob5o4b5obo2bo
28b2o4b2o2b2o4b2o32b2o4b2o2b2o4b2o12b2o4b2o2b2o4b2o45b2o4b2o2b2o4b2o
39b2o4b2o2b2o4b2o42b2o4b2o2b2o4b2o12b2o4b2o2b2o4b2o42b2o4b2o2b2o4b2o$
22b2o2b4obo2bob4o2b2o29b2o2b4obo2bob4o2b2o27b2o2b4obo2bob4o2b2o28b2o2b
4obo2bob4o2b2o8b2o2b4obo2bob4o2b2o12b2o3b6o3b2o34b2o3b6o3b2o34b2o3b6o
3b2o30b2o2b4obo2bob4o2b2o28b2o18b2o28b2o18b2o28b2o2b4obo2bob4o2b2o28b
2obo2bob2o2b2obo2bob2o12b2o3b6o3b2o33b2o3b6o3b2o14b2o3b6o3b2o32b2o18b
2o30bo2bob2o2b2obo2bo31b2o18b2o32b2o3b6o3b2o30b2o18b2o28b2o18b2o8b2o
18b2o41b2o18b2o35b2o18b2o38b2o18b2o8b2o18b2o38b2o18b2o$24bobo2bo2b2o2b
o2bobo30bo2bobo2bo2b2o2bo2bobo2bo25bo2bobo2bo2b2o2bo2bobo2bo26bo2bobo
2bo2b2o2bo2bobo2bo6bo2bobo2bo2b2o2bo2bobo2bo156bo2bobo2bo2b2o2bo2bobo
2bo26bo3b2o2bo6bo2b2o3bo27bo2b2o2bo6bo2b2o2bo30bobo2bo2b2o2bo2bobo31bo
2b2o2bo4bo2b2o2bo139bo3b2o2bo6bo2b2o3bo30b2o2bo4bo2b2o31bo3b2o2bo6bo2b
2o3bo76bo3b2o2bo6bo2b2o3bo26bo3b2o2bo6bo2b2o3bo6bo3b2o2bo6bo2b2o3bo39b
o3b2o2bo6bo2b2o3bo33bo3b2o2bo6bo2b2o3bo36bo3b2o2bo6bo2b2o3bo6bo3b2o2bo
6bo2b2o3bo36bo3b2o2bo6bo2b2o3bo$24bobo3bo4bo3bobo30b2obobo3bo4bo3bobob
2o26bobobo3bo4bo3bobobo28bobobo3bo4bo3bobobo8bobobo3bo4bo3bobobo15b2o
6b2o40b2o6b2o40b2o6b2o33bobobo3bo4bo3bobobo28b3o2b3o6b3o2b3o29b2o2b3o
6b3o2b2o31bobo3bo4bo3bobo31bo4b2o6b2o4bo16b2o6b2o39b2o6b2o20b2o6b2o35b
3o2b3o6b3o2b3o33b2o6b2o34b3o2b3o6b3o2b3o35b2o6b2o31bo2b2o2b3o6b3o2b2o
2bo26b3o2b3o6b3o2b3o8b3o2b3o6b3o2b3o41b3o2b3o6b3o2b3o35b3o2b3o6b3o2b3o
38b3o2b3o6b3o2b3o8b3o2b3o6b3o2b3o38b3o2b3o6b3o2b3o$22b2o2b2o10b2o2b2o
30bo2b2o10b2o2bo29bo2b2o10b2o2bo30bo2b2o10b2o2bo10bo2b2o10b2o2bo11bo2b
o12bo2bo33bo12bo33bo2bo12bo2bo29bo2b2o10b2o2bo32b2obobo4bobob2o34b2obo
bo4bobob2o32b2ob2o10b2ob2o31b3obo2b4o2bob3o15bo12bo35bo12bo13bo2bo12bo
2bo33b2obobo4bobob2o32b3obo2b4o2bob3o33b2obobo4bobob2o36bo12bo30b2o2b
2obobo4bobob2o2b2o30b2obobo4bobob2o14b2obobo4bobob2o47b2obobo4bobob2o
41b2obobo4bobob2o44b2obobo4bobob2o14b2obobo4bobob2o44b2obobo4bobob2o$
21bobobo2bo8bo2bobobo29bobo2bo8bo2bobo27bobobo2bo8bo2bobobo26bobobo2bo
8bo2bobobo6bobobo2bo8bo2bobobo9b4obo3b2o3bob4o31b3obo3b2o3bob3o31b4obo
3b2o3bob4o27bobobo2bo8bo2bobobo25b4obo5bo2bo5bob4o29bo5bo2bo5bo31bo2bo
2bo8bo2bo2bo32bobo3b2o3bobo15b3obo3b2o3bob3o31b3obo3b2o3bob3o11b4obo3b
2o3bob4o28b4obo5bo2bo5bob4o26bo2bo2b2ob2ob2o2bo2bo27b4obo5bo2bo5bob4o
29b3obo3b2o3bob3o30bobo5bo2bo5bobo27b4obo5bo2bo5bob4o4b4obo5bo2bo5bob
4o37b4obo5bo2bo5bob4o31b4obo5bo2bo5bob4o34b4obo5bo2bo5bob4o4b4obo5bo2b
o5bob4o34b4obo5bo2bo5bob4o$21bo2bob14obo2bo27b2obob14obob2o25b2obob14o
bob2o26b2obob14obob2o6b2obob14obob2o16b2o2b2o37bo6b2o2b2o6bo37b2o2b2o
34b2obob14obob2o25bo2bobob2obo4bob2obobo2bo26b2obob2obo4bob2obob2o29bo
2b14o2bo36b3o2b3o17bo6b2o2b2o6bo29bo6b2o2b2o6bo17b2o2b2o35bo2bobob2obo
4bob2obobo2bo25bobobo12bobobo26bo2bobob2obo4bob2obobo2bo28bo6b2o2b2o6b
o29bobob2obo4bob2obobo27bo2bobob2obo4bob2obobo2bo4bo2bobob2obo4bob2obo
bo2bo37bo2bobob2obo4bob2obobo2bo31bo2bobob2obo4bob2obobo2bo34bo2bobob
2obo4bob2obobo2bo4bo2bobob2obo4bob2obobo2bo34bo2bobob2obo4bob2obobo2bo
$22bobo5bo4bo5bobo27bo3bo5bo4bo5bo3bo27bo5bo4bo5bo32bo5bo4bo5bo12bo5bo
4bo5bo14b5obo2bob5o32bo2b4obo2bob4o2bo28b9obo2bob9o28bo5bo4bo5bo33b3o
10b3o31bo2b3o10b3o2bo30b2o4bo4bo4b2o34bobo8bobo14bob5obo2bob5obo30b6ob
o2bob6o13b5obo2bob5o35b3o10b3o30bobob2o3b4o3b2obobo31b3o10b3o34b6obo2b
ob6o28b2o2b3o10b3o2b2o30b3o10b3o14b3o10b3o47b3o10b3o41b3o10b3o44b3o10b
3o14b3o10b3o44b3o10b3o$23bo2b2o3b4o3b2o2bo29b3o2b2o3b4o3b2o2b3o25b2obo
b2o3b4o3b2obob2o29bob2o3b4o3b2obo12bob2o3b4o3b2obo13bo6b4o6bo30b2obo5b
4o5bob2o27bo2bo6b4o6bo2bo28bob2o3b4o3b2obo32bo2b2obo4bob2o2bo32bo2b2ob
o4bob2o2bo34b2o3b4o3b2o36bobo2bo2bo2bobo12b2obo6b4o6bob2o35b4o19bo6b4o
6bo33bo2b2obo4bob2o2bo30b2obo4b4o4bob2o31bo2b2obo4bob2o2bo40b4o36bobo
2b2obo4bob2o2bobo30bo2b2obo4bob2o2bo12bo2b2obo4bob2o2bo45bo2b2obo4bob
2o2bo39bo2b2obo4bob2o2bo42bo2b2obo4bob2o2bo12bo2b2obo4bob2o2bo42bo2b2o
bo4bob2o2bo$24b2obo10bob2o33b3o12b3o29bo2bobo10bobo2bo31bobo10bobo14bo
bo10bobo14bo2b2o3b2o3b2o2bo32bob3o3b2o3b3obo35b2o3b2o3b2o35b2o12b2o33b
2obo2bo4bo2bob2o30bob2obo2bo4bo2bob2obo32bobo8bobo39b3o2b3o16bobo2b2o
3b2o3b2o2bobo31b3o3b2o3b3o14bo2b2o3b2o3b2o2bo33b2obo2bo4bo2bob2o33bo2b
o6bo2bo34b2obo2bo4bo2bob2o33b2ob2o3b2o3b2ob2o29bob2obo2bo4bo2bob2obo
30b2obo2bo4bo2bob2o12b2obo2bo4bo2bob2o45b2obo2bo4bo2bob2o39b2obo2bo4bo
2bob2o42b2obo2bo4bo2bob2o12b2obo2bo4bo2bob2o42b2obo2bo4bo2bob2o$21b3o
3b2o8b2o3b3o29bo3bo10bo3bo28bo4b3o6b3o4bo33b3o6b3o18b3o6b3o13b2obobo2b
o6bo2bobob2o29bobo2bo6bo2bobo34bo2bo6bo2bo36bo10bo38b2obo4bob2o32bobo
3b2obo4bob2o3bobo81bo2bobo2bobo2bo13bobobo2bo6bo2bobobo30bo3bo6bo3bo
12b2obo2bo6bo2bob2o35b2obo4bob2o36bobobo4bobobo37b2obo4bob2o34bo2bobob
o6bobobo2bo28bo3b2obo4bob2o3bo34b2obo4bob2o18b2obo4bob2o51b2obo4bob2o
45b2obo4bob2o48b2obo4bob2o18b2obo4bob2o48b2obo4bob2o$21bo2b2obob2o4b2o
bob2o2bo28bo2b3obo6bob3o2bo28b4o2bo6bo2b4o30b4o2bo6bo2b4o10b4o2bo6bo2b
4o10bobo2bo10bo2bobo28bob4o10b4obo32b2o10b2o32b4ob2o6b2ob4o31b3o5b2o5b
3o29bo2b3o5b2o5b3o2bo27b2o3b2ob2o2b2ob2o3b2o35b2ob2ob2o15b2obo2bo10bo
2bob2o25b2o2b3o10b3o2b2o9bo2bo10bo2bo33b3o5b2o5b3o32b2obo8bob2o33b3o5b
2o5b3o31b2obobo10bobob2o29b3o5b2o5b3o32b3o5b2o5b3o12b3o5b2o5b3o45b3o5b
2o5b3o39b3o5b2o5b3o42b3o5b2o5b3o12b3o5b2o5b3o42b3o5b2o5b3o$22bobo2bob
2o4b2obo2bobo29b3o3bobo4bobo3b3o32b2o8b2o33bo4b2o8b2o4bo8bo4b2o8b2o4bo
7bobobobo2bo6bo2bobobobo25bobo5bo6bo5bobo29b2o2bo2bo2bo2bo2b2o30bo4b2o
6b2o4bo30bo3b2obob2obob2o3bo29b2o3b2obob2obob2o3b2o28bobo6bo2bo6bobo
32bo12bo15bobo2bo6bo2bobo27bo2bobo2bo3b2o3bo2bobo2bo8bobo2bo6bo2bobo
32bo3b2obob2obob2o3bo28b2o2bobob2o2b2obobo2b2o29bo3b2obob2obob2o3bo33b
obo2b2o2b2o2bobo29b3o3b2obob2obob2o3b3o28bo3b2obob2obob2o3bo10bo3b2obo
b2obob2o3bo43bo3b2obob2obob2o3bo37bo3b2obob2obob2o3bo40bo3b2obob2obob
2o3bo10bo3b2obob2obob2o3bo40bo3b2obob2obob2o3bo$20bobo2bobo2bo4bo2bobo
2bobo30b2o2bo6bo2b2o33bo14bo32b3o14b3o10b3o14b3o7bobo2b2ob12ob2o2bobo
23bo2bob16obo2bo27bo2b2o2bob2obo2b2o2bo30bobo12bobo31b5o10b5o31b4o10b
4o32bo4b2o4b2o4bo37bo2b2o2bo18b2ob12ob2o27bobo2bobo2bob2obo2bobo2bobo
6bobob14obobo31b4o10b4o28bo2b2o3bo6bo3b2o2bo29b4o10b4o34bo2b2o6b2o2bo
29bo2b4o10b4o2bo29b4o10b4o12b4o10b4o45b4o10b4o39b4o10b4o42b4o10b4o12b
4o10b4o42b4o10b4o$20b2obobo2bob2o2b2obo2bobob2o27b2obo14bob2o28b3ob3o
6b3ob3o32bob3o6b3obo14bob3o6b3obo9bobobo6b6o6bobobo24b2obo5b6o5bob2o
28b4o2b3o2b3o2b4o29b2ob3obo4bob3ob2o28b2o4b2obo4bob2o4b2o27b2o3b2obo4b
ob2o3b2o30b2o3bo6bo3b2o33bo5bo2bo5bo12b2o6b6o6b2o26b2ob2obo3b4o3bob2ob
2o7b2obo4b6o4bob2o28b3o3b2obo4bob2o3b3o25b2obo5bo4bo5bob2o26b3o3b2obo
4bob2o3b3o29b2obobobob2obobobob2o28b2o3b2obo4bob2o3b2o27b3o3b2obo4bob
2o3b3o6b3o3b2obo4bob2o3b3o39b3o3b2obo4bob2o3b3o33b3o3b2obo4bob2o3b3o
36b3o3b2obo4bob2o3b3o6b3o3b2obo4bob2o3b3o36b3o3b2obo4bob2o3b3o$23bobob
o3bo2bo3bobobo30bo2bobo10bobo2bo27bo3bo4bo2bo4bo3bo32bo4bo2bo4bo16bo4b
o2bo4bo11b2ob7obo2bob7ob2o26bobo2b2obob2obob2o2bobo33b2o2b4o2b2o35bo3b
2o4b2o3bo29bobob2o5bo2bo5b2obobo25bo2b2o5bo2bo5b2o2bo32bo10bo34b3obo4b
2o4bob3o9bo2b3obob2o2b2obob3o2bo28bo5bo4bo5bo13bob3obo2bob3obo31bo2b2o
5bo2bo5b2o2bo28bo3b4o2b4o3bo29bo2b2o5bo2bo5b2o2bo30bo2bob2ob2ob2obo2bo
31b2o5bo2bo5b2o29bo2b2o5bo2bo5b2o2bo6bo2b2o5bo2bo5b2o2bo39bo2b2o5bo2bo
5b2o2bo33bo2b2o5bo2bo5b2o2bo36bo2b2o5bo2bo5b2o2bo6bo2b2o5bo2bo5b2o2bo
36bo2b2o5bo2bo5b2o2bo$23bobobobo6bobobobo32bob2o4b2o4b2obo30bo2bob2obo
2bob2obo2bo34b2ob2o2b2ob2o18b2ob2o2b2ob2o22bo4bo36bob3obo3b2o3bob3obo
28bob2obo3b4o3bob2obo30bob3o6b3obo29bobobo4b2o4b2o4bobobo26bobo4b2o4b
2o4bobo28b5o12b5o28bo4b2o8b2o4bo8bobo4bo8bo4bobo28bobo4bo2bo4bobo13bob
o2bo4bo2bobo34bo4b2o4b2o4bo31bob3o3b2o3b3obo32bo4b2o4b2o4bo33bo6b4o6bo
31bo4b2o4b2o4bo32bo4b2o4b2o4bo10bobo4b2o4b2o4bobo43bo4b2o4b2o4bo39bo4b
2o4b2o4bo42bo4b2o4b2o4bo12bo4b2o4b2o4bo42bo4b2o4b2o4bo$24bo3b2ob4ob2o
3bo32b2obo4b4o4bob2o30bobob2o6b2obobo36bobob2obobo20bobob2obobo18bo3b
3o2b3o3bo32bo2bobobo4bobobo2bo29b2obobo3b4o3bobob2o27b2obo14bob2o27bo
2bo16bo2bo26b2obo16bob2o27bo20bo29b3obobo6bobob3o10bobobobob2o2b2obobo
bobo26b2ob5ob2o2b2ob5ob2o9b2o2bob2o2b2obo2b2o31bobo16bobo30bo4bo4bo4bo
31bobo16bobo28b2ob2o6b2o6b2ob2o26bobo16bobo28bobo16bobo7b2obo16bob2o
40bobo16bobo35bobo16bobo38bobo16bobo8bobo16bobo38bobo16bobo$25b3o2bo4b
o2b3o30bo2bo2bo4bo2bo4bo2bo2bo28b2o3b2o2b2o3b2o36bo2bo4bo2bo18bo2bo4bo
2bo17b2o4bo2bo4b2o33b2obobobo2bobobob2o33bo2b4o2b4o2bo30bo2b2o12b2o2bo
30b2o2bo8bo2b2o32b2o2bo8bo2b2o33bo14bo34bobo2bo4bo2bobo13bo3bo2b2o2b2o
2bo3bo26bo2bo5bo6bo5bo2bo11b2obo4bob2o34b2o4bo8bo4b2o31b14o32b2o4bo8bo
4b2o28b2o9b2o9b2o26b2o4bo8bo4b2o28b2o4bo8bo4b2o10b2o2bo8bo2b2o43b2o4bo
8bo4b2o35b2o4bo8bo4b2o38b2o4bo8bo4b2o8b2o4bo8bo4b2o38b2o4bo8bo4b2o$22b
3o2b3o2b2o2b3o2b3o26bobobobo2b2o6b2o2bobobobo30b2o6b2o36bo2bobo6bobo2b
o12bo2bobo6bobo2bo20b4o40bobobob4obobobo34bo5bo2bo5bo32bo2bobo6bobo2bo
35bo2bo4bo2bo35bo2bo2bo4bo2bo2bo32bob4o6b4obo35b2o2bo2bo2b2o20b2obo2bo
b2o31b2obob5o6b5obob2o14bob2obo43bo8bo89bo8bo37b2ob2o8b2ob2o35bo8bo40b
o8bo16bo2bo3bo2bo3bo2bo49bo8bo47bo8bo50bo8bo20bo8bo50bo8bo$22bo2bo4b2o
2b2o4bo2bo27bo2bob2obo2bo2bo2bob2obo2bo28b4o8b4o33b3o2bobo2bobo2b3o12b
3o2bobo2bobo2b3o18bobo2bobo36bo2bo2bo6bo2bo2bo33b14o34b2o2b2o4b2o2b2o
33b3o4bo2bo4b3o33b2o4bo2bo4b2o33b2ob2obo4bob2ob2o34bo2bobo2bobo2bo20bo
bo2bobo35bobo3bo6bo3bobo14b4o4b4o87b4o6b4o86bobo10bobo113b2o5b2o5b2o$
25bob2o2bo2bo2b2obo33bo2bo2b3o2b3o2bo2bo31bo6b2o6bo36b5o2b5o18b5o2b5o
19b3obo2bob3o34b2obobo2b4o2bobob2o38b4o40bob3o4b3obo33bo4bo8bo4bo29b3o
3bo8bo3b3o35b2o4b2o38bob4o4b4obo17bo2bob2obo2bo33bo2b2obo6bob2o2bo14bo
2bo4bo2bo35bo2bob2o6b2obo2bo31bo14bo32bo2bob2o6b2obo2bo33bobobo6bobobo
31bo2bob2o6b2obo2bo30bo2bob2o6b2obo2bo15bo3b2o3bo48bo2bob2o6b2obo2bo
37bo2bob2o6b2obo2bo40bo2bob2o6b2obo2bo10bo2bob2o6b2obo2bo40bo2bob2o6b
2obo2bo$26b2ob2o4b2ob2o35bobo12bobo33bo2bob4obo2bo36bo4bo2bo4bo16bo4bo
2bo4bo17bo4bo2bo4bo36bob2obo2bob2obo36b2o3b4o3b2o35bo3bo4bo3bo33bo2b2o
bo2b2o2bob2o2bo29bo3b2obo2b2o2bob2o3bo36b6o39bo14bo17b2obob2obob2o34bo
bob3o4b3obobo16bobob2obobo36b4obo8bob4o29bo2bo3b2o2b2o3bo2bo30b4obo8bo
b4o31b2obobob6obobob2o29b4obo8bob4o30b4obo8bob4o12b4o8b4o45b4obo8bob4o
37b4obo8bob4o40b4obo8bob4o10b4obo8bob4o40b4obo8bob4o$76bo5b4o5bo32bob
4obo2bob4obo34bobobo4bobobo16bob2o6b2obo18b2obob2obob2o34b3o3bo6bo3b3o
33bo12bo32b2ob3obo4bob3ob2o28bobobo2b2o6b2o2bobobo28b3o2b2o6b2o2b3o37b
o4bo37b2ob2o10b2ob2o18bo4bo36b2obo2b3o2b3o2bob2o13bobob2o2b2obobo39bo
8bo34b3o2bobo4bobo2b3o35bo8bo37bobo3b6o3bobo35bo8bo40bo8bo17bo2bob2o2b
2obo2bo50bo8bo47bo8bo50bo8bo20bo8bo50bo8bo$82bo2bo37bobo6b2o6bobo31b2o
bobo6bobob2o12b2obobo6bobob2o17bobo4bobo35bo5bo6bo5bo31bobo3b2o2b2o3bo
bo30b2o16b2o28b2obob2o3bo2bo3b2obob2o31b2o3bo2bo3b2o41bo2bo39bobobo8bo
bobo16b2obob2obob2o36bo2bo2b2o2bo2bo14b3obo8bob3o34b7o2b7o34b2obob4obo
b2o35b7o2b7o34bobobo3b2o3bobobo32b7o2b7o34b7o2b7o15bobo8bobo48b7o2b7o
41b7o2b7o44b7o2b7o14b7o2b7o44b7o2b7o$123bo3bo10bo3bo32bobo10bobo12bobo
bo10bobobo16bobo4bobo40b2ob4ob2o36b2ob2o8b2ob2o33b4o6b4o34bobo2bo6bo2b
obo31b2obo2bo6bo2bob2o33b2o2b2o2b2o2b2o34bobob2o6b2obobo16bo2bob2obo2b
o36bo4bo2bo4bo13bo3bobo6bobo3bo33bo2b2o6b2o2bo33bo2bo2bo2bo2bo2bo34bo
2b2o6b2o2bo33b2obobob2o2b2obobob2o31bo2b2o6b2o2bo34bo2b2o6b2o2bo14b2ob
obo4bobob2o47bo2b2o6b2o2bo41bo2b2o6b2o2bo44bo2b2o6b2o2bo14bo2b2o6b2o2b
o44bo2b2o6b2o2bo$122b2o2b2o10b2o2b2o31bobobobo2bobobobo13bo2b2obo4bob
2o2bo14b2obo2bo2bo2bob2o38bobo2bobo40bo4b2o4bo33b2obo2bo6bo2bob2o31bob
obo2bo2bo2bobobo32bobobo2bo2bo2bobobo34bo2bobo2bobo2bo32bobobobobo4bob
obobobo16bo6bo39b4o4b4o15bo2bobo6bobo2bo35bo4bo2bo4bo34b3o3bo2bo3b3o
35bo4bo2bo4bo34bo2bobo2bo2bo2bobo2bo32bo4bo2bo4bo36bo4bo2bo4bo16bobob
2o2b2obobo49bo4bo2bo4bo43bo4bo2bo4bo46bo4bo2bo4bo16bo4bo2bo4bo46bo4bo
2bo4bo$176bo2bob4obo2bo17bobobo2bobobo18bobo8bobo39bob4obo40bo10bo33b
2o2bo2b2o2b2o2bo2b2o30b2ob4o6b4ob2o31bob4o6b4obo36b2o6b2o34b2obo4b2o2b
2o4bob2o15b2obo2bob2o35b3o3bo4bo3b3o13bobobob4obobobo33b3o14b3o34b3o4b
3o35b3o14b3o33bobobo6bobobo31b3o14b3o30b3o14b3o13bobo3b2o3bobo46b3o14b
3o37b3o14b3o40b3o14b3o10b3o14b3o40b3o14b3o$177b3o6b3o19b3o4b3o18bo2b2o
6b2o2bo37b2obo2bob2o36b2obob8obob2o33b2obobo2bobob2o35bo5bo2bo5bo34bo
5bo2bo5bo33b4o10b4o33bob2ob2o2b2ob2obo20bo4bo36bo3b3o6b3o3bo13bobobo4b
obobo34bo2b4ob4ob4o2bo30bobo12bobo31bo2b4ob4ob4o2bo32b2obo10bob2o30bo
2b4ob4ob4o2bo30bo2b4ob4ob4o2bo11b2obob8obob2o44bo2b4ob4ob4o2bo37bo2b4o
b4ob4o2bo40bo2b4ob4ob4o2bo10bo2b4ob4ob4o2bo40bo2b4ob4ob4o2bo$180b6o50b
2o12b2o37bo2b4o2bo36b2obo2b6o2bob2o36bobo2bobo38bob5o2b5obo35b6o2b6o
34bo3b2o6b2o3bo33bo2bo8bo2bo16b4obo2bob4o31bobobo2b2o4b2o2bobobo14bobo
b2obobo38bo5b4o5bo31bob2ob2o6b2ob2obo32bo5b4o5bo38b2o6b2o36bo5b4o5bo
34bo5b4o5bo12bobo14bobo45bo5b4o5bo41bo5b4o5bo44bo5b4o5bo14bo5b4o5bo44b
o5b4o5bo$179bo6bo21b2obo2bob2o72b2o4b2o40bo10bo39bo6bo39b2o10b2o38bo8b
o37bo2bob6obo2bo32b2obobobo4bobobob2o13bo3bobo2bobo3bo30bobob2o2bob2ob
o2b2obobo13bo2bob2obo2bo35bobobo10bobobo29bo4b2obo2bob2o4bo31b2ob2o8b
2ob2o38bo6bo38b2o10b2o36b2o10b2o13bo2b4obo2bob4o2bo46b2o10b2o43b3o8b3o
46b3o8b3o16b3o8b3o46b3o8b3o$179bobo2bobo21bob2o2b2obo74b4o42bob2o4b2ob
o38b2obo2bob2o42b2o2b2o38b3ob3o4b3ob3o34bobobob2obobobo32bo2bo2bo2bo2b
o2bo2bo2bo11bobo4b4o4bobo30b2o2bo2b2o2b2o2bo2b2o14b4o4b4o35b2obob2obo
2bob2obob2o30b3o12b3o31bo2bobo2bo2bo2bobo2bo37b8o39bobobo2bobobo38bobo
bo2bobobo15b2o3b3o2b3o3b2o48bobobo2bobobo46bo2bo2bo2bo50bo2bo2bo2bo20b
o2bo2bo2bo50bo2bo2bo2bo$180b2o2b2o106bo2bo41b2obo6bob2o37bo2b4o2bo38b
4obo2bob4o34bo2b2ob2o2b2ob2o2bo35bo10bo34bobobo2bo4bo2bobobo13bobo2b2o
2b2o2bobo33b2ob2o6b2ob2o19bo4bo41bo2b2o4b2o2bo35b5o4b5o33b2obob3o4b3ob
ob2o36b3o4b3o36bo2b3o4b3o2bo34bo2b3o4b3o2bo15b2o2bob2obo2b2o48bo2b3o4b
3o2bo44b3o4b3o50b3o4b3o20b3o4b3o50b3o4b3o$340bo6bo41b2o4b2o38bo4bo4bo
4bo34bo3bo6bo3bo37b3o4b3o36b2ob3o6b3ob2o16bo10bo35bo3b2o4b2o3bo16b4ob
2ob4o38bobo2bo2bo2bobo39b6o40bobo8bobo35bo2bobobo2bobobo2bo32b2obo8bob
2o34b2obo8bob2o15bo2b3o2b3o2bo48b2obo8bob2o41b2obo8bob2o44b2obo8bob2o
14b2obo8bob2o44b2obo8bob2o$340b2o4b2o43b4o40bob3o6b3obo33b2obobo6bobob
2o33b3o10b3o40b4o23b2o3b2o3b2o33bobo14bobo14bo2bob2obo2bo39b2o8b2o36b
2o10b2o36bob4o2b4obo35b4o2bo4bo2b4o35b4o2b4o35b2o3b4o2b4o3b2o10b2obobo
3b2o3bobob2o43b2o3b4o2b4o3b2o40bob4o2b4obo46bob4o2b4obo16bob4o2b4obo
44bobob4o2b4obobo$391bo2bo41b2o10b2o35bo14bo33bo3bobob2obobo3bo37b8o
23bobo2bobo35b2o16b2o15bobob2obobo42b2o4b2o37bo2bo8bo2bo32b2obobo8bobo
b2o37b2o4b2o37b3o10b3o31bo2b3o10b3o2bo9bo2b6o2b6o2bo42bo2b3o10b3o2bo
39bobo8bobo46bobo8bobo16bobo8bobo44bobobo8bobobo$485bob4o4b4obo34bo2bo
b6obo2bo37bo8bo20b2obo4bob2o39b2o4b2o20b2obo4bob2o37b3o10b3o33bobob3o
2b3obobo33bob2o10b2obo35b2o10b2o34bo2b2o6b2o2bo31b2o4b2o6b2o4b2o10b2o
5b4o5b2o43b2o4b2o6b2o4b2o38b2ob3o4b3ob2o44b2ob3o4b3ob2o14b2ob3o4b3ob2o
44bo2b3o4b3o2bo$483b2obo2b3o2b3o2bob2o33bob2o6b2obo38bo3b2o3bo21bo8bo
39b2obo2bob2o22bo4bo39bo2b2o8b2o2bo33bobob6obobo34bobobo2bo2bo2bobobo
34bo5bo2bo5bo34bo3b2o2b2o3bo37bo2b2o2b2o2bo17b3o3b2o3b3o50bo2b2o2b2o2b
o42bo2bo3b4o3bo2bo42bo2bo3b4o3bo2bo12bo2bo3b4o3bo2bo44b2o3b4o3b2o$483b
o2bo3bo4bo3bo2bo34bo10bo36b2obo8bob2o17bo2bo4bo2bo37bobobo2bobobo21bo
4bo39bo4bo6bo4bo35bobo4bobo35b2obob4o2b4obob2o33bobo3bo2bo3bobo35b4ob
2ob4o39b3ob2ob3o18bo2b3o2b3o2bo51b3ob2ob3o44bo2b10o2bo44bo2b10o2bo14bo
2b10o2bo47b10o$484b2o3bobo2bobo3b2o36b2o6b2o37b2obob2o2b2obob2o17b4ob
2ob4o38b2obo2bob2o19b2obob2obob2o37b5o6b5o36bo2b4o2bo37bobo10bobo32b2o
b2o4bo2bo4b2ob2o29b3o12b3o66bo2bo2bo2bo108b2o10b2o46b2o10b2o16b2o10b2o
46b2o10b2o$488bob2o2b2obo41bobo2bobo41bob2o2b2obo71bob4obo20bo2bo4bo2b
o40bo8bo35bob2obo2b2o2bob2obo33bo2b2ob4ob2o2bo33bo7bo2bo7bo30bo2b2o2b
4o2b2o2bo38b2o2b2o19bo2bo2bo2bo2bo2bo52b2o2b2o49bobo4bobo50bobo4bobo
20bobo4bobo47bo2bobo4bobo2bo$488bo8bo39bo3b4o3bo36b2obobo4bobob2o17b
12o37bo3bo2bo3bo19b2o6b2o38b2o5b2o5b2o32b2obob2o4b2obob2o34bobo8bobo
34bob2o12b2obo31bobob2o4b2obobo34b2o4bo2bo4b2o13bobo12bobo46b2o4bo2bo
4b2o44bobob2obobo50bobob2obobo20bobob2obobo47b2obobob2obobob2o$487b2o
8b2o38b4o4b4o36bobobo6bobobo17bo10bo35b3ob2o4b2ob3o14b3o2b6o2b3o35bo5b
4o5bo36bo8bo37b2obo2b4o2bob2o32b2obo5b4o5bob2o28bobobobob4obobobobo32b
o4b6o4bo13bo2b3o6b3o2bo46bo4b6o4bo41b2obo8bob2o44b2obo8bob2o14b2obo8bo
b2o45bobo8bobo$541bo2bo44bobo2bobo24bo4bo37bo16bo13bo2bobob2obobo2bo
33bobo4b6o4bobo35b3o2b3o38bo2bobo4bobo2bo36b2obo2b2o2bob2o32b2obo4b4o
4bob2o33bo3bo4bo3bo15b2o2b3o2b3o2b2o48bo3bo4bo3bo43bo2b2o4b2o2bo46bo2b
2o4b2o2bo16bo2b2o4b2o2bo46bo2b2o4b2o2bo$539bobo2bobo42bob4obo23bobo2bo
bo37b3ob2o4b2ob3o17bo3b2o3bo36b2o4bo2b2o2bo4b2o32b3o2bo2bo2b3o37bobo6b
obo42bob2obo39bobo8bobo31bo2bobo2b2o4b2o2bobo2bo12bob8obo45b2obobo2b2o
4b2o2bobob2o38bo12bo44bobo12bobo12bobo12bobo42bobo12bobo$539b2o4b2o41b
2obo2bob2o22bobo2bobo39bo3bo2bo3bo20b2o4b2o44b2o2b2o38bo2bo8bo2bo35b2o
10b2o86bobo2b4o2bobo31b4obobo2bo2bo2bobob4o10b2o2bo6bo2b2o43bob2obobo
2bo2bo2bobob2obo36b2ob4ob2ob4ob2o42b2ob4ob2ob4ob2o12b2ob4ob2ob4ob2o42b
2ob4ob2ob4ob2o$592b2o25b2ob4ob2o40bob4obo25b2o44b3o6b3o35bo2bob2o2b2ob
o2bo34bo2b2o6b2o2bo40bob2obo36b2obobob2o2b2obobob2o33b3o2bo2bo2b3o14bo
2b2obo4bob2o2bo47b3o2bo2bo2b3o41bo2bo4b2o4bo2bo45bo4b2o4bo18bo4b2o4bo
48bo4b2o4bo$618bo2bo4bo2bo38b2o6b2o19b5o2b5o39bo2b6o2bo36b2ob3o2b3ob2o
33bo2b2o3b4o3b2o2bo37b2ob2ob2o36bo2b2obo4bob2o2bo31b3o14b3o10bobo3bo6b
o3bobo42b2obo14bob2o38bobob3o2b3obobo46bob3o2b3obo18bob3o2b3obo48bob3o
2b3obo$619bo2bo2bo2bo41b2o2b2o21bo3bo2bo3bo40bo8bo38bo10bo34b2obo3b2o
2b2o3bob2o38bob2obo37bo4b2o4b2o4bo31bo2b3obo4bob3o2bo9bobob4o6b4obobo
41b2obob3o6b3obob2o37b2obo10bob2o42b2obo10bob2o12b2obo10bob2o42b2obo
10bob2o$620b2o4b2o42bo4bo24bo4bo44b8o38bo2b8o2bo36bo2bo6bo2bo40b2ob2ob
2o37b3obo6bob3o35bo3bo4bo3bo12bobobo2bo6bo2bobobo44bobo4b2o4bobo41bobo
bo6bobobo44bobobo6bobobo14bobobo6bobobo44bobobo6bobobo$671bo2bo25b2o2b
2o91b2o3b2o3b2o37bobo8bobo40b2o4b2o39bo3bo2bo3bo38b2o8b2o14bo3b2o8b2o
3bo45bo2bobo4bobo2bo41bobo4b2o4bobo44bobo4b2o4bobo14bobo4b2o4bobo44bob
o4b2o4bobo$670b2o2b2o74b2o4b2o41b2o4b2o38b2obobo4bobob2o38bo8bo39b2ob
4ob2o41b3o2b3o17b3o2b2o4b2o2b3o47bobobo4bobobo39b2obo2b2o6b2o2bob2o38b
2obo2b2o6b2o2bob2o8b2obo2b2o6b2o2bob2o38b2obo2b2o6b2o2bob2o$750bo6bo
39b2o2bo2bo2b2o35bo3bob2o2b2obo3bo38b3o2b3o44b2o43b2o2bo2bo2b2o18b2o8b
2o49b2obobo4bobob2o38b2ob2o2bo6bo2b2ob2o38b2ob2o2bo6bo2b2ob2o8b2ob2o2b
o6bo2b2ob2o38b2ob2o2bo6bo2b2ob2o$751bo4bo39bo2bobo2bobo2bo35bobo3bo2bo
3bobo36bo4b4o4bo35b6o2b6o36bo4bo2bo4bo16bo2b2o4b2o2bo50bobob4obobo48b
2o2b2o54b2o2b2o24b2o2b2o54b2o2b2o$750b2o4b2o39bobob4obobo37b2obobo2bob
ob2o37b14o34bo3bobo2bobo3bo34bob2o8b2obo15b2obob4obob2o50bobo2b2o2bobo
$798bo8bo40b2ob4ob2o43bo4bo36bo2b3o2bo2bo2b3o2bo31bo2bob8obo2bo17bob4o
bo51bobo10bobo44b3o4b3o51b2o4b2o22b2o4b2o52b2o4b2o$799b3o2b3o41bo2bo2b
o2bo38bob2o8b2obo31b2obo2b3o2b3o2bob2o31b2o5b4o5b2o14b2obo6bob2o47bobo
12bobo38b2o4bobo2bobo4b2o44b4o4b4o18b4o4b4o48b4o4b4o$801bo2bo42b2o8b2o
37b2obob6obob2o34bob2o6b2obo40bo4bo20bo2bob4obo2bo47bo2b5o2b5o2bo37bo
2bo2b2obo2bob2o2bo2bo$845bo2bob6obo2bo39bo2b2o2bo38b2o10b2o41b4o22bo3b
4o3bo49b2o3b2o2b2o3b2o38b3o16b3o$845b2o2bo6bo2b2o40bo4bo37b2o2b2o6b2o
2b2o35b2o2bo2bo2b2o16bobob2o4b2obobo49b3o6b3o43b6o4b6o49bo4bo24bo4bo
54bo4bo$851bo2bo47bo2bo39bo2b3o4b3o2bo37bo8bo16bobo12bobo48bobo6bobo
42bo3bob2o2b2obo3bo44bob3o4b3obo16bob3o4b3obo46bob3o4b3obo$850b2o2b2o
43b3o4b3o36bobobo6bobobo37bob2o2b2obo16bo2b4o4b4o2bo49bobo4bobo42bob2o
12b2obo43b2o10b2o16b2o10b2o46b2o10b2o$897bo2bo6bo2bo33b2ob2o8b2ob2o34b
2ob3o2b3ob2o13b2o5bo4bo5b2o44b2o3bobo2bobo3b2o38bobo5b4o5bobo46b2o4b2o
22b2o4b2o52b2o4b2o$897b2o3bo2bo3b2o86bo10bo16b4o8b4o46bobo12bobo36b2o
2bo4bo4bo4bo2b2o41b3ob2o2b2ob3o16b3ob2o2b2ob3o46b3ob2o2b2ob3o$901b2o2b
2o89bo2b8o2bo15bo2b4o2b4o2bo48bo4b4o4bo39bobo16bobo42bo2bo6bo2bo16bo2b
o6bo2bo46bo2bo6bo2bo$996b3o3b2o3b3o79b2o2bo4bo2b2o39bob2o2b3ob2ob3o2b
2obo43bo3bo2bo3bo18bo3bo2bo3bo48bo3bo2bo3bo$999b2o4b2o23b6o56bobo2bobo
43bo18bo41b3o3bo4bo3b3o12b3o3bo4bo3b3o42b3o3bo4bo3b3o$998bo2bo2bo2bo
21bobo2bobo52b2o3bo2bo3b2o41b8o2b8o42bo2b5o2b5o2bo12bo2b5o2b5o2bo42bo
2b5o2b5o2bo$999bobo2bobo22bobo2bobo51bo2bob2o2b2obo2bo103bo3bo2bo3bo
18bo3bo2bo3bo48bo3bo2bo3bo$998b2ob4ob2o20b2ob4ob2o50b2o4b4o4b2o42b4obo
2bob4o49b2o4b2o22b2o4b2o52b2o4b2o$998bo8bo20bo8bo108bo3bo4bo3bo45b4o2b
o2bo2b4o14b4o2bo2bo2b4o44b4o2bo2bo2b4o$999b3o2b3o22b3o2b3o54bob2o2b2ob
o48bo6bo47bo4b2o4b2o4bo12bo4b2o4b2o4bo42bo4b2o4b2o4bo$1001bo2bo26bo2bo
54b3ob2o2b2ob3o42bo2b2o6b2o2bo44b3o3b4o3b3o14b3o3b4o3b3o44b3o3b4o3b3o$
1088bo4b2o2b2o4bo40bobo3bo4bo3bobo45bobo6bobo18bobo6bobo48bobo6bobo$
1088bob2obo4bob2obo40bo2b5o2b5o2bo48bo4bo24bo4bo54bo4bo$1089bo2b2o4b2o
2bo39b2obobo3bo2bo3bobob2o$1090bo10bo40bo2bo2b4o2b4o2bo2bo44b3o4b3o20b
3o4b3o50b3o4b3o$1087b3o12b3o39bob2o10b2obo46bo2b4o2bo20bo2b4o2bo50bo2b
4o2bo$1087bo16bo40bo2b4o2b4o2bo44bo3bo6bo3bo14bo3bo6bo3bo48bo6bo$1147b
o2bo4bo2bo46b4o8b4o14b4o8b4o45b3o8b3o$1148bo8bo137bo14bo$1149b8o50b5o
2b5o18b5o2b5o46bo2b4o2b4o2bo$1150b6o50bo4bo2bo4bo16bo4bo2bo4bo44b2obo
3bo2bo3bob2o$1149bo6bo48bob3o6b3obo14bob3o6b3obo45bobobob2obobobo$
1147b3o6b3o46bobo2b2o2b2o2bobo14bobo2b2o2b2o2bobo45bobobo4bobobo$1146b
o4bo2bo4bo44b2obo3bo2bo3bob2o12b2obo3bo2bo3bob2o42b2o2bo2bo2bo2bo2b2o$
1147b3ob4ob3o45bo2b2o8b2o2bo12bo2b2o8b2o2bo43bobobo6bobobo$1149b2o4b2o
49bo2bo6bo2bo16bo2bo6bo2bo44bo2b2o8b2o2bo$1152b2o53b3o6b3o18b3o6b3o45b
3o3bo4bo3b3o$1148bob2o2b2obo52b2o2b2o18b3o3b2o2b2o3b3o45b5o2b5o$1148b
2obo2bob2o49b4ob2ob4o14bo3b4ob2ob4o3bo41b2obo10bob2o$1207bo10bo13bo2bo
bo10bobo2bo39bobo2bo8bo2bobo$1208b2ob4ob2o15b3o2b2ob4ob2o2b3o40bo2bobo
3b2o3bobo2bo$1203b2obobob2o2b2obobob2o13bobob2o2b2obobo44bobobo2bo2bo
2bobobo$1203bob2o3bo4bo3b2obo12bo2bobo4bobo2bo44b2o2b2o4b2o2b2o$1207b
2ob2o2b2ob2o16b3o2b2o2b2o2b3o46bobob4obobo$1204b2o14b2o73b2o2bob4obo2b
2o$1203bo2b14o2bo10b4ob4o2b4ob4o43bobo8bobo$1204b2o2bobob2obobo2b2o11b
o2bobob2o2b2obobo2bo43bobob2o2b2obobo$1206bobo3b2o3bobo20bo4bo48b2o2bo
b2o2b2obo2b2o$1206bobo8bobo17b2obob2obob2o46bobobo6bobobo$1205b2obo2bo
2bo2bob2o15bo4bo2bo4bo44bo2b2ob2o2b2ob2o2bo$1209b3o2b3o20b3obo2bob3o
46b2o12b2o$1212b2o25b2o4b2o50b2o8b2o$1211bo2bo82bo10bo$1212b2o84bo8bo$
1297b2o8b2o!
Some of those have a back that is a sparker by itself:

Code: Select all

x = 24, y = 55, rule = B3/S23
7bo8bo$7bo8bo2$2bo2bob2o6b2obo2bo$2b4obo8bob4o$7bo8bo$4b7o2b7o$4bo2b2o
6b2o2bo$5bo4bo2bo4bo$2b3o14b3o$2bo2b4ob4ob4o2bo$4bo5b4o5bo$5b2o10b2o$
6bobobo2bobobo$4bo2b3o4b3o2bo$4b2obo8bob2o$2b2o3b4o2b4o3b2o$bo2b3o10b
3o2bo$b2o4b2o6b2o4b2o$6bo2b2o2b2o2bo$7b3ob2ob3o2$9b2o2b2o$4b2o4bo2bo4b
2o$4bo4b6o4bo$5bo3bo4bo3bo$o2bobo2b2o4b2o2bobo2bo$4obobo2bo2bo2bobob4o
$5b3o2bo2bo2b3o$2b3o14b3o$2bo2b3obo4bob3o2bo$5bo3bo4bo3bo$6b2o8b2o$8b
3o2b3o$6b2o2bo2bo2b2o$5bo4bo2bo4bo$4bob2o8b2obo$3bo2bob8obo2bo$3b2o5b
4o5b2o$9bo4bo$10b4o$6b2o2bo2bo2b2o$7bo8bo$7bob2o2b2obo$5b2ob3o2b3ob2o
$6bo10bo$5bo2b8o2bo$5b3o3b2o3b3o$8b2o4b2o$7bo2bo2bo2bo$8bobo2bobo$7b2o
b4ob2o$7bo8bo$8b3o2b3o$10bo2bo!
I'm not sure how useful the sparker will be, though.
137 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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Entity Valkyrie 2
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Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 »

hotcrystal0 wrote: February 17th, 2026, 11:50 am
wwei47 wrote: May 6th, 2025, 12:38 pm EDIT: Completions from a different frontend:

Code: Select all

x = 1316, y = 132, rule = B3/S23
o3bo3bo3bo15b2o6b2o12bo3bo3bobobo16b2o6b2o11bo3bo3bobobo15b2o6b2o12bob
obo3bobobo15b2o6b2o20b2o6b2o21b2o6b2o11bobobo3bo3bo16b2o6b2o11bobobo3b
obobo16b2o6b2o11bobobo3bobobo15b2o6b2o12bobobo3bobobo15b2o6b2o12bobobo
3bo3bo15b2o6b2o12bobobo3bobobo15b2o6b2o12bobobo3bobobo15b2o6b2o21b2o6b
2o11bobobo3bobo17b2o6b2o20b2o6b2o12bobobo3bobobo16b2o6b2o11bobobo3bobo
bo15b2o6b2o12bobobo3bobobo15b2o6b2o12bobobo3bobobo16b2o6b2o11bobobo3bo
bobo15b2o6b2o12bobobo3bobobo15b2o6b2o20b2o6b2o14bobo5bobobo3bobo20b2o
6b2o11bobo5bobo5bobo17b2o6b2o14bobo5bobobo3bobobo15b2o6b2o20b2o6b2o14b
obo5bobobo3bobobo15b2o6b2o$26bo4bo2bo4bo37bo4bo2bo4bo35bo4bo2bo4bo36bo
4bo2bo4bo16bo4bo2bo4bo17bo4bo2bo4bo36bo4bo2bo4bo36bo4bo2bo4bo35bo4bo2b
o4bo36bo4bo2bo4bo36bo4bo2bo4bo36bo4bo2bo4bo36bo4bo2bo4bo17bo4bo2bo4bo
35bo4bo2bo4bo16bo4bo2bo4bo37bo4bo2bo4bo35bo4bo2bo4bo36bo4bo2bo4bo37bo
4bo2bo4bo35bo4bo2bo4bo36bo4bo2bo4bo16bo4bo2bo4bo49bo4bo2bo4bo43bo4bo2b
o4bo46bo4bo2bo4bo16bo4bo2bo4bo46bo4bo2bo4bo$o3bo3bo3bo9b2obo5bo2bo5bob
2o6bo3bo3bo14b2obo5bo2bo5bob2o5bo3bo3bo3bo9b2obo5bo2bo5bob2o6bo11bo9b
2obo5bo2bo5bob2o8b2obo5bo2bo5bob2o9b2obo5bo2bo5bob2o5bo7bo3bo10b2obo5b
o2bo5bob2o5bo7bo14b2obo5bo2bo5bob2o5bo11bo9b2obo5bo2bo5bob2o6bo7bo3bo
9b2obo5bo2bo5bob2o6bo7bo3bo9b2obo5bo2bo5bob2o6bo7bo13b2obo5bo2bo5bob2o
10bo3bo3bo9b2obo5bo2bo5bob2o9b2obo5bo2bo5bob2o9bo5bo11b2obo5bo2bo5bob
2o8b2obo5bo2bo5bob2o10bo3bo14b2obo5bo2bo5bob2o9bo3bo3bo9b2obo5bo2bo5bo
b2o6bo3bo7bo9b2obo5bo2bo5bob2o6bo3bo3bo14b2obo5bo2bo5bob2o5bo3bo7bo9b
2obo5bo2bo5bob2o6bo3bo7bo9b2obo5bo2bo5bob2o8b2obo5bo2bo5bob2o10bo5bo3b
o5bo14b2obo5bo2bo5bob2o7bo7bo7bo11b2obo5bo2bo5bob2o10bo9bo3bo13b2obo5b
o2bo5bob2o8b2obo5bo2bo5bob2o10bo9bo3bo3bo9b2obo5bo2bo5bob2o$22bo9b2o9b
o29bo9b2o9bo27bo9b2o9bo28bo9b2o9bo8bo9b2o9bo9bo9b2o9bo28bo9b2o9bo28bo
9b2o9bo27bo9b2o9bo28bo9b2o9bo28bo9b2o9bo28bo9b2o9bo28bo9b2o9bo9bo9b2o
9bo27bo9b2o9bo8bo9b2o9bo29bo9b2o9bo27bo9b2o9bo28bo9b2o9bo29bo9b2o9bo
27bo9b2o9bo28bo9b2o9bo8bo9b2o9bo41bo9b2o9bo35bo9b2o9bo38bo9b2o9bo8bo9b
2o9bo38bo9b2o9bo$obobo3bobobo10b3ob2o2bo2bo2b2ob3o7bobobo3bobobo11b3ob
2o2bo2bo2b2ob3o6bobobo3bobobo10b3ob2o2bo2bo2b2ob3o7bobobo3bobobo10b3ob
2o2bo2bo2b2ob3o10b3ob2o2bo2bo2b2ob3o11b3ob2o2bo2bo2b2ob3o6bobobo3bobob
o11b3ob2o2bo2bo2b2ob3o6bobobo3bobobo11b3ob2o2bo2bo2b2ob3o6bobobo7bo10b
3ob2o2bo2bo2b2ob3o7bobobo3bobobo10b3ob2o2bo2bo2b2ob3o7bobobo3bobobo10b
3ob2o2bo2bo2b2ob3o7bobobo3bobobo10b3ob2o2bo2bo2b2ob3o11bo3bo3bo10b3ob
2o2bo2bo2b2ob3o11b3ob2o2bo2bo2b2ob3o10bo5bo12b3ob2o2bo2bo2b2ob3o10b3ob
2o2bo2bo2b2ob3o11bo3bobobo11b3ob2o2bo2bo2b2ob3o10bo3bobobo10b3ob2o2bo
2bo2b2ob3o7bobobo3bobobo10b3ob2o2bo2bo2b2ob3o7bobobo3bobobo11b3ob2o2bo
2bo2b2ob3o6bobobo7bo10b3ob2o2bo2bo2b2ob3o7bobobo3bobobo10b3ob2o2bo2bo
2b2ob3o10b3ob2o2bo2bo2b2ob3o11bo5bo3bo5bo15b3ob2o2bo2bo2b2ob3o8bo7bo7b
o12b3ob2o2bo2bo2b2ob3o11bo5bobobo3bobobo10b3ob2o2bo2bo2b2ob3o10b3ob2o
2bo2bo2b2ob3o11bo5bobobo3bobobo10b3ob2o2bo2bo2b2ob3o$29b3o2b3o43b3o2b
3o41b3o2b3o42b3o2b3o22b3o2b3o23b3o2b3o42b3o2b3o42b3o2b3o41b3o2b3o42b3o
2b3o42b3o2b3o42b3o2b3o42b3o2b3o23b3o2b3o41b3o2b3o22b3o2b3o43b3o2b3o41b
3o2b3o42b3o2b3o43b3o2b3o41b3o2b3o42b3o2b3o22b3o2b3o55b3o2b3o49b3o2b3o
52b3o2b3o22b3o2b3o52b3o2b3o$4bo7bo10b2o6bo2bo6b2o11bo7bo11b2o6bo2bo6b
2o10bo3bo3bo10b2o6bo2bo6b2o11bo7bo10b2o6bo2bo6b2o10b2o6bo2bo6b2o11b2o
6bo2bo6b2o10bo7bo11b2o6bo2bo6b2o10bo3bo3bo11b2o6bo2bo6b2o10bo7bo10b2o
6bo2bo6b2o11bo3bo3bo10b2o6bo2bo6b2o7bo3bo7bo10b2o6bo2bo6b2o7bo3bo3bo3b
o10b2o6bo2bo6b2o11bo3bo3bo10b2o6bo2bo6b2o11b2o6bo2bo6b2o10bo5bo12b2o6b
o2bo6b2o10b2o6bo2bo6b2o11bo3bo3bo11b2o6bo2bo6b2o10bo3bo3bo10b2o6bo2bo
6b2o7bo3bo7bo10b2o6bo2bo6b2o7bo3bo3bo3bo11b2o6bo2bo6b2o6bo3bo7bo10b2o
6bo2bo6b2o11bo7bo10b2o6bo2bo6b2o10b2o6bo2bo6b2o11bo5bo3bo5bo15b2o6bo2b
o6b2o8bo7bo7bo12b2o6bo2bo6b2o11bo5bo7bo3bo10b2o6bo2bo6b2o10b2o6bo2bo6b
2o11bo5bo7bo3bo10b2o6bo2bo6b2o$23bo6bo4bo6bo31bo6bo4bo6bo29bo6bo4bo6bo
30bo6bo4bo6bo10bo6bo4bo6bo11bo6bo4bo6bo30bo6bo4bo6bo30bo6bo4bo6bo29bo
6bo4bo6bo30bo6bo4bo6bo30bo6bo4bo6bo30bo6bo4bo6bo30bo6bo4bo6bo11bo6bo4b
o6bo29bo6bo4bo6bo10bo6bo4bo6bo31bo6bo4bo6bo29bo6bo4bo6bo30bo6bo4bo6bo
31bo6bo4bo6bo29bo6bo4bo6bo30bo6bo4bo6bo10bo6bo4bo6bo43bo6bo4bo6bo37bo
6bo4bo6bo40bo6bo4bo6bo10bo6bo4bo6bo40bo6bo4bo6bo$4bo7bo8bobo3bo10bo3bo
bo9bo3bobobo9bobo3bo10bo3bobo8bo3bobobo8bobo3bo10bo3bobo5bobobo3bobobo
8bobo3bo10bo3bobo6bobo3bo10bo3bobo7bobo3bo10bo3bobo4bobobo7bo9bobo3bo
10bo3bobo4bobobo3bobobo9bobo3bo10bo3bobo4bobobo7bo8bobo3bo10bo3bobo5bo
bobo3bobobo8bobo3bo10bo3bobo5bobobo7bo8bobo3bo10bo3bobo5bobobo3bobobo
8bobo3bo10bo3bobo9bo3bobobo8bobo3bo10bo3bobo7bobo3bo10bo3bobo8bo3bobob
o7b2obo3bo10bo3bob2o5bobo3bo10bo3bobo9bo3bobobo9bobo3bo10bo3bobo8bo3bo
bobo8bobo3bo10bo3bobo5bobobo3bobobo8bobo3bo10bo3bobo5bobobo3bobobo9bob
o3bo10bo3bobo4bobobo7bo8bobo3bo10bo3bobo5bobobo3bobobo8bobo3bo10bo3bob
o6bobo3bo10bo3bobo7bobobo3bobobo3bobobo11bobo3bo10bo3bobo4bobobo3bobob
o3bobobo8bobo3bo10bo3bobo7bobobo3bobobo3bobobo8bobo3bo10bo3bobo6bobo3b
o10bo3bobo7bobobo3bobobo3bobobo8bobo3bo10bo3bobo$20bobo3bobob6obobo3bo
bo25bobo3bobob6obobo3bobo23bobo3bobob6obobo3bobo24bobo3bobob6obobo3bob
o4bobo3bobob6obobo3bobo5bobo3bobob6obobo3bobo24bobo3bobob6obobo3bobo
24bobo3bobob6obobo3bobo23bobo3bobob6obobo3bobo24bobo3bobob6obobo3bobo
24bobo3bobob6obobo3bobo24bobo3bobob6obobo3bobo24bobo3bobob6obobo3bobo
5bobo3bobob6obobo3bobo23bobo3bobob6obobo3bobo4bobo3bobob6obobo3bobo25b
obo3bobob6obobo3bobo23bobo3bobob6obobo3bobo24bobo3bobob6obobo3bobo25bo
bo3bobob6obobo3bobo23bobo3bobob6obobo3bobo24bobo3bobob6obobo3bobo4bobo
3bobob6obobo3bobo37bobo3bobob6obobo3bobo31bobo3bobob6obobo3bobo34bobo
3bobob6obobo3bobo4bobo3bobob6obobo3bobo34bobo3bobob6obobo3bobo$20bo2b
4o4bo2bo4b4o2bo25bo2b4o4bo2bo4b4o2bo23bo2b4o4bo2bo4b4o2bo24bo2b4o4bo2b
o4b4o2bo4bo2b4o4bo2bo4b4o2bo5bo2b4o4bo2bo4b4o2bo24bo2b4o4bo2bo4b4o2bo
24bo2b4o4bo2bo4b4o2bo23bo2b4o4bo2bo4b4o2bo24bo2b4o4bo2bo4b4o2bo24bo2b
4o4bo2bo4b4o2bo24bo2b4o4bo2bo4b4o2bo24bo2b4o4bo2bo4b4o2bo5bo2b4o4bo2bo
4b4o2bo26b4o4bo2bo4b4o7bo2b4o4bo2bo4b4o2bo25bo2b4o4bo2bo4b4o2bo23bo2b
4o4bo2bo4b4o2bo24bo2b4o4bo2bo4b4o2bo25bo2b4o4bo2bo4b4o2bo23bo2b4o4bo2b
o4b4o2bo24bo2b4o4bo2bo4b4o2bo4bo2b4o4bo2bo4b4o2bo37bo2b4o4bo2bo4b4o2bo
31bo2b4o4bo2bo4b4o2bo34bo2b4o4bo2bo4b4o2bo4bo2b4o4bo2bo4b4o2bo34bo2b4o
4bo2bo4b4o2bo$21b2o5b2o2b2o2b2o5b2o27b2o5b2o2b2o2b2o5b2o25b2o5b2o2b2o
2b2o5b2o26b2o5b2o2b2o2b2o5b2o6b2o5b2o2b2o2b2o5b2o7b2o5b2o2b2o2b2o5b2o
26b2o5b2o2b2o2b2o5b2o26b2o5b2o2b2o2b2o5b2o25b2o5b2o2b2o2b2o5b2o26b2o5b
2o2b2o2b2o5b2o26b2o5b2o2b2o2b2o5b2o26b2o5b2o2b2o2b2o5b2o26b2o5b2o2b2o
2b2o5b2o7b2o5b2o2b2o2b2o5b2o25b2o5b2o2b2o2b2o5b2o6b2o5b2o2b2o2b2o5b2o
27b2o5b2o2b2o2b2o5b2o25b2o5b2o2b2o2b2o5b2o26b2o5b2o2b2o2b2o5b2o27b2o5b
2o2b2o2b2o5b2o25b2o5b2o2b2o2b2o5b2o26b2o5b2o2b2o2b2o5b2o6b2o5b2o2b2o2b
2o5b2o39b2o5b2o2b2o2b2o5b2o33b2o5b2o2b2o2b2o5b2o36b2o5b2o2b2o2b2o5b2o
6b2o5b2o2b2o2b2o5b2o36b2o5b2o2b2o2b2o5b2o$22bob3o3b2o2b2o3b3obo29bob3o
3b2o2b2o3b3obo27bob3o3b2o2b2o3b3obo28bob3o3b2o2b2o3b3obo8bob3o3b2o2b2o
3b3obo11b3o3b2o2b2o3b3o32b3o3b2o2b2o3b3o30bob3o3b2o2b2o3b3obo27bob3o3b
2o2b2o3b3obo28bob3o3b2o2b2o3b3obo28bob3o3b2o2b2o3b3obo28bob3o3b2o2b2o
3b3obo28bob3o3b2o2b2o3b3obo9bob3o3b2o2b2o3b3obo25bobob3o3b2o2b2o3b3obo
bo8b3o3b2o2b2o3b3o31bob3o3b2o2b2o3b3obo27bob3o3b2o2b2o3b3obo28bob3o3b
2o2b2o3b3obo29bob3o3b2o2b2o3b3obo27bob3o3b2o2b2o3b3obo28bob3o3b2o2b2o
3b3obo8bob3o3b2o2b2o3b3obo41bob3o3b2o2b2o3b3obo35bob3o3b2o2b2o3b3obo
38bob3o3b2o2b2o3b3obo8bob3o3b2o2b2o3b3obo38bob3o3b2o2b2o3b3obo$20bo2bo
4bobob2obobo4bo2bo25bo2bo4bobob2obobo4bo2bo23bo2bo4bobob2obobo4bo2bo
24bo2bo4bobob2obobo4bo2bo4bo2bo4bobob2obobo4bo2bo6b3o4bobob2obobo4b3o
26b3o4bobob2obobo4b3o25bo2bo4bobob2obobo4bo2bo23bo2bo4bobob2obobo4bo2b
o24bo2bo4bobob2obobo4bo2bo24bo2bo4bobob2obobo4bo2bo24bo2bo4bobob2obobo
4bo2bo24bo2bo4bobob2obobo4bo2bo5bo2bo4bobob2obobo4bo2bo23bo2bo4bobob2o
bobo4bo2bo5b3o4bobob2obobo4b3o26bo2bo4bobob2obobo4bo2bo23bo2bo4bobob2o
bobo4bo2bo24bo2bo4bobob2obobo4bo2bo25bo2bo4bobob2obobo4bo2bo23bo2bo4bo
bob2obobo4bo2bo24bo2bo4bobob2obobo4bo2bo4bo2bo4bobob2obobo4bo2bo37bo2b
o4bobob2obobo4bo2bo31bo2bo4bobob2obobo4bo2bo34bo2bo4bobob2obobo4bo2bo
4bo2bo4bobob2obobo4bo2bo34bo2bo4bobob2obobo4bo2bo$20b2obo2b2o4b2o4b2o
2bob2o25b2obo2b2o4b2o4b2o2bob2o23b2obo2b2o4b2o4b2o2bob2o24b2obo2b2o4b
2o4b2o2bob2o4b2obo2b2o4b2o4b2o2bob2o5bo2bo2b2o4b2o4b2o2bo2bo24bo2bo2b
2o4b2o4b2o2bo2bo24b2obo2b2o4b2o4b2o2bob2o23b2obo2b2o4b2o4b2o2bob2o24b
2obo2b2o4b2o4b2o2bob2o24b2obo2b2o4b2o4b2o2bob2o24b2obo2b2o4b2o4b2o2bob
2o24b2obo2b2o4b2o4b2o2bob2o5b2obo2b2o4b2o4b2o2bob2o24bobo2b2o4b2o4b2o
2bobo5bo2bo2b2o4b2o4b2o2bo2bo25b2obo2b2o4b2o4b2o2bob2o23b2obo2b2o4b2o
4b2o2bob2o24b2obo2b2o4b2o4b2o2bob2o25b2obo2b2o4b2o4b2o2bob2o23b2obo2b
2o4b2o4b2o2bob2o24b2obo2b2o4b2o4b2o2bob2o4b2obo2b2o4b2o4b2o2bob2o37b2o
bo2b2o4b2o4b2o2bob2o31b2obo2b2o4b2o4b2o2bob2o34b2obo2b2o4b2o4b2o2bob2o
4b2obo2b2o4b2o4b2o2bob2o34b2obo2b2o4b2o4b2o2bob2o$23bobo2bo8bo2bobo31b
obo2bo8bo2bobo29bobo2bo8bo2bobo30bobo2bo8bo2bobo10bobo2bo8bo2bobo8b2ob
obo2bo8bo2bobob2o24b2obobo2bo8bo2bobob2o25bobobo2bo8bo2bobobo27bobo2bo
8bo2bobo30bobo2bo8bo2bobo30bobo2bo8bo2bobo30bobo2bo8bo2bobo30bobo2bo8b
o2bobo9bobobo2bo8bo2bobobo24b2obobo2bo8bo2bobob2o4b2obobo2bo8bo2bobob
2o28bobo2bo8bo2bobo29bobo2bo8bo2bobo30bobo2bo8bo2bobo29bobobo2bo8bo2bo
bobo27bobo2bo8bo2bobo30bobo2bo8bo2bobo10bobo2bo8bo2bobo43bobo2bo8bo2bo
bo37bobo2bo8bo2bobo40bobo2bo8bo2bobo10bobo2bo8bo2bobo40bobo2bo8bo2bobo
$23bo2bobo8bobo2bo31bo2bobo8bobo2bo29bo2bobo8bobo2bo30bo2bobo8bobo2bo
10bo2bobo8bobo2bo11bo2bobo8bobo2bo30bo2bobo8bobo2bo26bo3bo2bobo8bobo2b
o3bo25bo2bobo8bobo2bo27b2obob3o10b3obob2o24b2obob3o10b3obob2o27bo2bobo
8bobo2bo30bo2bobo8bobo2bo7bo3bo2bobo8bobo2bo3bo25bo2bobo8bobo2bo10bo2b
obo8bobo2bo28b2obob3o10b3obob2o26bo2bobo8bobo2bo27b2obob3o10b3obob2o
24bo3bo2bobo8bobo2bo3bo22b2obob3o10b3obob2o24b2obob3o10b3obob2o4b2obob
3o10b3obob2o37b2obob3o10b3obob2o31b2obob3o10b3obob2o34b2obob3o10b3obob
2o4b2obob3o10b3obob2o34b2obob3o10b3obob2o$21b2obobo4bo2bo4bobob2o27b2o
bobo4bo2bo4bobob2o25b2obobo4bo2bo4bobob2o26b2obobo4bo2bo4bobob2o6b2obo
bo4bo2bo4bobob2o9b4o12b4o30b4o12b4o26b2o2b4o12b4o2b2o23b2obobo4bo2bo4b
obob2o25b2obo2b3o8b3o2bob2o24b2obo2b3o8b3o2bob2o25b2obobo4bo2bo4bobob
2o29bobo12bobo8b2o2b4o12b4o2b2o25b4o12b4o10b4o12b4o28b2obo2b3o8b3o2bob
2o27bobo12bobo28b2obo2b3o8b3o2bob2o24b2o2b4o12b4o2b2o22b2obo2b3o8b3o2b
ob2o24b2obo2b3o8b3o2bob2o4b2obo2b3o8b3o2bob2o37b2obo2b3o8b3o2bob2o31b
2obo2b3o8b3o2bob2o34b2obo2b3o8b3o2bob2o4b2obo2b3o8b3o2bob2o34b2obo2b3o
8b3o2bob2o$22bobo2b4o4b4o2bobo29bobo2b4o4b4o2bobo27bobo2b4o4b4o2bobo
28bobo2b4o4b4o2bobo8bobo2b4o4b4o2bobo14b2o8b2o38b2o8b2o38b2o8b2o32bobo
2b4o4b4o2bobo29bo18bo30bo18bo29bobo2b4o4b4o2bobo31bo4bo4bo4bo17b2o8b2o
37b2o8b2o18b2o8b2o35bo18bo31bo4bo4bo4bo32bo18bo35b2o8b2o33bo18bo30bo
18bo10bo18bo43bo18bo37bo18bo40bo18bo10bo18bo40bo18bo$20bobobo16bobobo
25bobobo16bobobo23bobobo16bobobo24bobobo16bobobo4bobobo16bobobo8b3ob5o
2b5ob3o30b3ob5o2b5ob3o30b3ob5o2b5ob3o26bobobo16bobobo27b2o4bob4obo4b2o
30b2o4bob4obo4b2o27bobobo16bobobo30b3obo4bob3o14b3ob5o2b5ob3o29b3ob5o
2b5ob3o10b3ob5o2b5ob3o31b2o4bob4obo4b2o32b3obo4bob3o33b2o4bob4obo4b2o
31b3ob5o2b5ob3o29b2o4bob4obo4b2o30b2o4bob4obo4b2o10b2o4bob4obo4b2o43b
2o4bob4obo4b2o37b2o4bob4obo4b2o40b2o4bob4obo4b2o10b2o4bob4obo4b2o40b2o
4bob4obo4b2o$20b2o2b2o4bo4bo4b2o2b2o25b2o2b2o4bo4bo4b2o2b2o23b2o2b2o4b
o4bo4b2o2b2o24b2o2b2o4bo4bo4b2o2b2o4b2o2b2o4bo4bo4b2o2b2o7bobo3bo8bo3b
obo28bobo3bo8bo3bobo28bobo3bo8bo3bobo25b2o2b2o4bo4bo4b2o2b2o33b3o2b3o
42b3o2b3o33b2o2b2o4bo4bo4b2o2b2o27b3o14b3o10bobo3bo8bo3bobo27bobo3bo8b
o3bobo8bobo3bo8bo3bobo36b3o2b3o35b3o14b3o36b3o2b3o36bobo3bo8bo3bobo34b
3o2b3o42b3o2b3o22b3o2b3o55b3o2b3o49b3o2b3o52b3o2b3o22b3o2b3o52b3o2b3o$
24bo2bo3bo2bo3bo2bo33bo2bo3bo2bo3bo2bo31bo2bo3bo2bo3bo2bo32bo2bo3bo2bo
3bo2bo12bo2bo3bo2bo3bo2bo11bo3b2ob2o4b2ob2o3bo28bo3b2ob2o4b2ob2o3bo27b
o4b2ob2o4b2ob2o4bo28bo2bo3bo2bo3bo2bo36bo2bo2bo2bo40bo2bo2bo2bo36bo2bo
3bo2bo3bo2bo31bo2b3obob2obob3o2bo10bo3b2ob2o4b2ob2o3bo27bo3b2ob2o4b2ob
2o3bo8bo3b2ob2o4b2ob2o3bo35bo2bo2bo2bo34bo2b3obob2obob3o2bo35bo2bo2bo
2bo35bo3b2ob2o4b2ob2o3bo33bo2bo2bo2bo40bo2bo2bo2bo20bo2bo2bo2bo53bo2bo
2bo2bo47bo2bo2bo2bo50bo2bo2bo2bo20bo2bo2bo2bo50bo2bo2bo2bo$25b3o4b2o4b
3o35b3o4b2o4b3o33b3o4b2o4b3o34b3o4b2o4b3o14b3o4b2o4b3o13b3o2bob6obo2b
3o30b3o2bob6obo2b3o29b4o2bob6obo2b4o30b3o4b2o4b3o33b2o14b2o32b2o14b2o
33b3o4b2o4b3o33bo7b2o7bo12b3o2bob6obo2b3o29b3o2bob6obo2b3o10b3o2bob6ob
o2b3o32b2o14b2o31bo7b2o7bo32b2o14b2o32b3o2bob6obo2b3o30b2o14b2o32b2o
14b2o12b2o14b2o45b2o14b2o39b2o14b2o42b2o14b2o12b2o14b2o42b2o14b2o$22b
3o4bobo2bobo4b3o29b3o4bobo2bobo4b3o27b3o4bobo2bobo4b3o28b3o4bobo2bobo
4b3o8b3o4bobo2bobo4b3o13bob4o2b4obo36bob4o2b4obo36bob4o2b4obo31b3o4bob
o2bobo4b3o31bo2bobo4bobo2bo34bo2bobo4bobo2bo31b3o4bobo2bobo4b3o31b3o
10b3o16bob4o2b4obo35bob4o2b4obo16bob4o2b4obo36bo2bobo4bobo2bo33b3o10b
3o34bo2bobo4bobo2bo36bob4o2b4obo34bo2bobo4bobo2bo34bo2bobo4bobo2bo14bo
2bobo4bobo2bo47bo2bobo4bobo2bo41bo2bobo4bobo2bo44bo2bobo4bobo2bo14bo2b
obo4bobo2bo44bo2bobo4bobo2bo$22bo2b2obo8bob2o2bo29bo2b2obo8bob2o2bo27b
o2b2obo8bob2o2bo28bo2b2obo8bob2o2bo8bo2b2obo8bob2o2bo8b4o5b2o2b2o5b4o
26b4o5b2o2b2o5b4o26bob2o5b2o2b2o5b2obo26bo2b2obo8bob2o2bo30bo3bobo4bob
o3bo32bo3bobo4bobo3bo30bo2b2obo8bob2o2bo28b3o5b2o2b2o5b3o8b4o5b2o2b2o
5b4o25b4o5b2o2b2o5b4o6b4o5b2o2b2o5b4o30bo3bobo4bobo3bo29b3o5b2o2b2o5b
3o30bo3bobo4bobo3bo30b4o5b2o2b2o5b4o28bo3bobo4bobo3bo32bo3bobo4bobo3bo
12bo3bobo4bobo3bo45bo3bobo4bobo3bo39bo3bobo4bobo3bo42bo3bobo4bobo3bo
12bo3bobo4bobo3bo42bo3bobo4bobo3bo$23bobo3b2o4b2o3bobo31bobo3b2o4b2o3b
obo29bobo3b2o4b2o3bobo30bobo3b2o4b2o3bobo10bobo3b2o4b2o3bobo9bo2bob5o
4b5obo2bo26bo2bob5o4b5obo2bo26b2obob5o4b5obob2o27bobo3b2o4b2o3bobo31b
2o4b2o2b2o4b2o32b2o4b2o2b2o4b2o31bobo3b2o4b2o3bobo28bo3bobo2b2o2b2o2bo
bo3bo7bo2bob5o4b5obo2bo25bo2bob5o4b5obo2bo6bo2bob5o4b5obo2bo30b2o4b2o
2b2o4b2o29bo2bobo2b2o2b2o2bobo2bo30b2o4b2o2b2o4b2o30bo2bob5o4b5obo2bo
28b2o4b2o2b2o4b2o32b2o4b2o2b2o4b2o12b2o4b2o2b2o4b2o45b2o4b2o2b2o4b2o
39b2o4b2o2b2o4b2o42b2o4b2o2b2o4b2o12b2o4b2o2b2o4b2o42b2o4b2o2b2o4b2o$
22b2o2b4obo2bob4o2b2o29b2o2b4obo2bob4o2b2o27b2o2b4obo2bob4o2b2o28b2o2b
4obo2bob4o2b2o8b2o2b4obo2bob4o2b2o12b2o3b6o3b2o34b2o3b6o3b2o34b2o3b6o
3b2o30b2o2b4obo2bob4o2b2o28b2o18b2o28b2o18b2o28b2o2b4obo2bob4o2b2o28b
2obo2bob2o2b2obo2bob2o12b2o3b6o3b2o33b2o3b6o3b2o14b2o3b6o3b2o32b2o18b
2o30bo2bob2o2b2obo2bo31b2o18b2o32b2o3b6o3b2o30b2o18b2o28b2o18b2o8b2o
18b2o41b2o18b2o35b2o18b2o38b2o18b2o8b2o18b2o38b2o18b2o$24bobo2bo2b2o2b
o2bobo30bo2bobo2bo2b2o2bo2bobo2bo25bo2bobo2bo2b2o2bo2bobo2bo26bo2bobo
2bo2b2o2bo2bobo2bo6bo2bobo2bo2b2o2bo2bobo2bo156bo2bobo2bo2b2o2bo2bobo
2bo26bo3b2o2bo6bo2b2o3bo27bo2b2o2bo6bo2b2o2bo30bobo2bo2b2o2bo2bobo31bo
2b2o2bo4bo2b2o2bo139bo3b2o2bo6bo2b2o3bo30b2o2bo4bo2b2o31bo3b2o2bo6bo2b
2o3bo76bo3b2o2bo6bo2b2o3bo26bo3b2o2bo6bo2b2o3bo6bo3b2o2bo6bo2b2o3bo39b
o3b2o2bo6bo2b2o3bo33bo3b2o2bo6bo2b2o3bo36bo3b2o2bo6bo2b2o3bo6bo3b2o2bo
6bo2b2o3bo36bo3b2o2bo6bo2b2o3bo$24bobo3bo4bo3bobo30b2obobo3bo4bo3bobob
2o26bobobo3bo4bo3bobobo28bobobo3bo4bo3bobobo8bobobo3bo4bo3bobobo15b2o
6b2o40b2o6b2o40b2o6b2o33bobobo3bo4bo3bobobo28b3o2b3o6b3o2b3o29b2o2b3o
6b3o2b2o31bobo3bo4bo3bobo31bo4b2o6b2o4bo16b2o6b2o39b2o6b2o20b2o6b2o35b
3o2b3o6b3o2b3o33b2o6b2o34b3o2b3o6b3o2b3o35b2o6b2o31bo2b2o2b3o6b3o2b2o
2bo26b3o2b3o6b3o2b3o8b3o2b3o6b3o2b3o41b3o2b3o6b3o2b3o35b3o2b3o6b3o2b3o
38b3o2b3o6b3o2b3o8b3o2b3o6b3o2b3o38b3o2b3o6b3o2b3o$22b2o2b2o10b2o2b2o
30bo2b2o10b2o2bo29bo2b2o10b2o2bo30bo2b2o10b2o2bo10bo2b2o10b2o2bo11bo2b
o12bo2bo33bo12bo33bo2bo12bo2bo29bo2b2o10b2o2bo32b2obobo4bobob2o34b2obo
bo4bobob2o32b2ob2o10b2ob2o31b3obo2b4o2bob3o15bo12bo35bo12bo13bo2bo12bo
2bo33b2obobo4bobob2o32b3obo2b4o2bob3o33b2obobo4bobob2o36bo12bo30b2o2b
2obobo4bobob2o2b2o30b2obobo4bobob2o14b2obobo4bobob2o47b2obobo4bobob2o
41b2obobo4bobob2o44b2obobo4bobob2o14b2obobo4bobob2o44b2obobo4bobob2o$
21bobobo2bo8bo2bobobo29bobo2bo8bo2bobo27bobobo2bo8bo2bobobo26bobobo2bo
8bo2bobobo6bobobo2bo8bo2bobobo9b4obo3b2o3bob4o31b3obo3b2o3bob3o31b4obo
3b2o3bob4o27bobobo2bo8bo2bobobo25b4obo5bo2bo5bob4o29bo5bo2bo5bo31bo2bo
2bo8bo2bo2bo32bobo3b2o3bobo15b3obo3b2o3bob3o31b3obo3b2o3bob3o11b4obo3b
2o3bob4o28b4obo5bo2bo5bob4o26bo2bo2b2ob2ob2o2bo2bo27b4obo5bo2bo5bob4o
29b3obo3b2o3bob3o30bobo5bo2bo5bobo27b4obo5bo2bo5bob4o4b4obo5bo2bo5bob
4o37b4obo5bo2bo5bob4o31b4obo5bo2bo5bob4o34b4obo5bo2bo5bob4o4b4obo5bo2b
o5bob4o34b4obo5bo2bo5bob4o$21bo2bob14obo2bo27b2obob14obob2o25b2obob14o
bob2o26b2obob14obob2o6b2obob14obob2o16b2o2b2o37bo6b2o2b2o6bo37b2o2b2o
34b2obob14obob2o25bo2bobob2obo4bob2obobo2bo26b2obob2obo4bob2obob2o29bo
2b14o2bo36b3o2b3o17bo6b2o2b2o6bo29bo6b2o2b2o6bo17b2o2b2o35bo2bobob2obo
4bob2obobo2bo25bobobo12bobobo26bo2bobob2obo4bob2obobo2bo28bo6b2o2b2o6b
o29bobob2obo4bob2obobo27bo2bobob2obo4bob2obobo2bo4bo2bobob2obo4bob2obo
bo2bo37bo2bobob2obo4bob2obobo2bo31bo2bobob2obo4bob2obobo2bo34bo2bobob
2obo4bob2obobo2bo4bo2bobob2obo4bob2obobo2bo34bo2bobob2obo4bob2obobo2bo
$22bobo5bo4bo5bobo27bo3bo5bo4bo5bo3bo27bo5bo4bo5bo32bo5bo4bo5bo12bo5bo
4bo5bo14b5obo2bob5o32bo2b4obo2bob4o2bo28b9obo2bob9o28bo5bo4bo5bo33b3o
10b3o31bo2b3o10b3o2bo30b2o4bo4bo4b2o34bobo8bobo14bob5obo2bob5obo30b6ob
o2bob6o13b5obo2bob5o35b3o10b3o30bobob2o3b4o3b2obobo31b3o10b3o34b6obo2b
ob6o28b2o2b3o10b3o2b2o30b3o10b3o14b3o10b3o47b3o10b3o41b3o10b3o44b3o10b
3o14b3o10b3o44b3o10b3o$23bo2b2o3b4o3b2o2bo29b3o2b2o3b4o3b2o2b3o25b2obo
b2o3b4o3b2obob2o29bob2o3b4o3b2obo12bob2o3b4o3b2obo13bo6b4o6bo30b2obo5b
4o5bob2o27bo2bo6b4o6bo2bo28bob2o3b4o3b2obo32bo2b2obo4bob2o2bo32bo2b2ob
o4bob2o2bo34b2o3b4o3b2o36bobo2bo2bo2bobo12b2obo6b4o6bob2o35b4o19bo6b4o
6bo33bo2b2obo4bob2o2bo30b2obo4b4o4bob2o31bo2b2obo4bob2o2bo40b4o36bobo
2b2obo4bob2o2bobo30bo2b2obo4bob2o2bo12bo2b2obo4bob2o2bo45bo2b2obo4bob
2o2bo39bo2b2obo4bob2o2bo42bo2b2obo4bob2o2bo12bo2b2obo4bob2o2bo42bo2b2o
bo4bob2o2bo$24b2obo10bob2o33b3o12b3o29bo2bobo10bobo2bo31bobo10bobo14bo
bo10bobo14bo2b2o3b2o3b2o2bo32bob3o3b2o3b3obo35b2o3b2o3b2o35b2o12b2o33b
2obo2bo4bo2bob2o30bob2obo2bo4bo2bob2obo32bobo8bobo39b3o2b3o16bobo2b2o
3b2o3b2o2bobo31b3o3b2o3b3o14bo2b2o3b2o3b2o2bo33b2obo2bo4bo2bob2o33bo2b
o6bo2bo34b2obo2bo4bo2bob2o33b2ob2o3b2o3b2ob2o29bob2obo2bo4bo2bob2obo
30b2obo2bo4bo2bob2o12b2obo2bo4bo2bob2o45b2obo2bo4bo2bob2o39b2obo2bo4bo
2bob2o42b2obo2bo4bo2bob2o12b2obo2bo4bo2bob2o42b2obo2bo4bo2bob2o$21b3o
3b2o8b2o3b3o29bo3bo10bo3bo28bo4b3o6b3o4bo33b3o6b3o18b3o6b3o13b2obobo2b
o6bo2bobob2o29bobo2bo6bo2bobo34bo2bo6bo2bo36bo10bo38b2obo4bob2o32bobo
3b2obo4bob2o3bobo81bo2bobo2bobo2bo13bobobo2bo6bo2bobobo30bo3bo6bo3bo
12b2obo2bo6bo2bob2o35b2obo4bob2o36bobobo4bobobo37b2obo4bob2o34bo2bobob
o6bobobo2bo28bo3b2obo4bob2o3bo34b2obo4bob2o18b2obo4bob2o51b2obo4bob2o
45b2obo4bob2o48b2obo4bob2o18b2obo4bob2o48b2obo4bob2o$21bo2b2obob2o4b2o
bob2o2bo28bo2b3obo6bob3o2bo28b4o2bo6bo2b4o30b4o2bo6bo2b4o10b4o2bo6bo2b
4o10bobo2bo10bo2bobo28bob4o10b4obo32b2o10b2o32b4ob2o6b2ob4o31b3o5b2o5b
3o29bo2b3o5b2o5b3o2bo27b2o3b2ob2o2b2ob2o3b2o35b2ob2ob2o15b2obo2bo10bo
2bob2o25b2o2b3o10b3o2b2o9bo2bo10bo2bo33b3o5b2o5b3o32b2obo8bob2o33b3o5b
2o5b3o31b2obobo10bobob2o29b3o5b2o5b3o32b3o5b2o5b3o12b3o5b2o5b3o45b3o5b
2o5b3o39b3o5b2o5b3o42b3o5b2o5b3o12b3o5b2o5b3o42b3o5b2o5b3o$22bobo2bob
2o4b2obo2bobo29b3o3bobo4bobo3b3o32b2o8b2o33bo4b2o8b2o4bo8bo4b2o8b2o4bo
7bobobobo2bo6bo2bobobobo25bobo5bo6bo5bobo29b2o2bo2bo2bo2bo2b2o30bo4b2o
6b2o4bo30bo3b2obob2obob2o3bo29b2o3b2obob2obob2o3b2o28bobo6bo2bo6bobo
32bo12bo15bobo2bo6bo2bobo27bo2bobo2bo3b2o3bo2bobo2bo8bobo2bo6bo2bobo
32bo3b2obob2obob2o3bo28b2o2bobob2o2b2obobo2b2o29bo3b2obob2obob2o3bo33b
obo2b2o2b2o2bobo29b3o3b2obob2obob2o3b3o28bo3b2obob2obob2o3bo10bo3b2obo
b2obob2o3bo43bo3b2obob2obob2o3bo37bo3b2obob2obob2o3bo40bo3b2obob2obob
2o3bo10bo3b2obob2obob2o3bo40bo3b2obob2obob2o3bo$20bobo2bobo2bo4bo2bobo
2bobo30b2o2bo6bo2b2o33bo14bo32b3o14b3o10b3o14b3o7bobo2b2ob12ob2o2bobo
23bo2bob16obo2bo27bo2b2o2bob2obo2b2o2bo30bobo12bobo31b5o10b5o31b4o10b
4o32bo4b2o4b2o4bo37bo2b2o2bo18b2ob12ob2o27bobo2bobo2bob2obo2bobo2bobo
6bobob14obobo31b4o10b4o28bo2b2o3bo6bo3b2o2bo29b4o10b4o34bo2b2o6b2o2bo
29bo2b4o10b4o2bo29b4o10b4o12b4o10b4o45b4o10b4o39b4o10b4o42b4o10b4o12b
4o10b4o42b4o10b4o$20b2obobo2bob2o2b2obo2bobob2o27b2obo14bob2o28b3ob3o
6b3ob3o32bob3o6b3obo14bob3o6b3obo9bobobo6b6o6bobobo24b2obo5b6o5bob2o
28b4o2b3o2b3o2b4o29b2ob3obo4bob3ob2o28b2o4b2obo4bob2o4b2o27b2o3b2obo4b
ob2o3b2o30b2o3bo6bo3b2o33bo5bo2bo5bo12b2o6b6o6b2o26b2ob2obo3b4o3bob2ob
2o7b2obo4b6o4bob2o28b3o3b2obo4bob2o3b3o25b2obo5bo4bo5bob2o26b3o3b2obo
4bob2o3b3o29b2obobobob2obobobob2o28b2o3b2obo4bob2o3b2o27b3o3b2obo4bob
2o3b3o6b3o3b2obo4bob2o3b3o39b3o3b2obo4bob2o3b3o33b3o3b2obo4bob2o3b3o
36b3o3b2obo4bob2o3b3o6b3o3b2obo4bob2o3b3o36b3o3b2obo4bob2o3b3o$23bobob
o3bo2bo3bobobo30bo2bobo10bobo2bo27bo3bo4bo2bo4bo3bo32bo4bo2bo4bo16bo4b
o2bo4bo11b2ob7obo2bob7ob2o26bobo2b2obob2obob2o2bobo33b2o2b4o2b2o35bo3b
2o4b2o3bo29bobob2o5bo2bo5b2obobo25bo2b2o5bo2bo5b2o2bo32bo10bo34b3obo4b
2o4bob3o9bo2b3obob2o2b2obob3o2bo28bo5bo4bo5bo13bob3obo2bob3obo31bo2b2o
5bo2bo5b2o2bo28bo3b4o2b4o3bo29bo2b2o5bo2bo5b2o2bo30bo2bob2ob2ob2obo2bo
31b2o5bo2bo5b2o29bo2b2o5bo2bo5b2o2bo6bo2b2o5bo2bo5b2o2bo39bo2b2o5bo2bo
5b2o2bo33bo2b2o5bo2bo5b2o2bo36bo2b2o5bo2bo5b2o2bo6bo2b2o5bo2bo5b2o2bo
36bo2b2o5bo2bo5b2o2bo$23bobobobo6bobobobo32bob2o4b2o4b2obo30bo2bob2obo
2bob2obo2bo34b2ob2o2b2ob2o18b2ob2o2b2ob2o22bo4bo36bob3obo3b2o3bob3obo
28bob2obo3b4o3bob2obo30bob3o6b3obo29bobobo4b2o4b2o4bobobo26bobo4b2o4b
2o4bobo28b5o12b5o28bo4b2o8b2o4bo8bobo4bo8bo4bobo28bobo4bo2bo4bobo13bob
o2bo4bo2bobo34bo4b2o4b2o4bo31bob3o3b2o3b3obo32bo4b2o4b2o4bo33bo6b4o6bo
31bo4b2o4b2o4bo32bo4b2o4b2o4bo10bobo4b2o4b2o4bobo43bo4b2o4b2o4bo39bo4b
2o4b2o4bo42bo4b2o4b2o4bo12bo4b2o4b2o4bo42bo4b2o4b2o4bo$24bo3b2ob4ob2o
3bo32b2obo4b4o4bob2o30bobob2o6b2obobo36bobob2obobo20bobob2obobo18bo3b
3o2b3o3bo32bo2bobobo4bobobo2bo29b2obobo3b4o3bobob2o27b2obo14bob2o27bo
2bo16bo2bo26b2obo16bob2o27bo20bo29b3obobo6bobob3o10bobobobob2o2b2obobo
bobo26b2ob5ob2o2b2ob5ob2o9b2o2bob2o2b2obo2b2o31bobo16bobo30bo4bo4bo4bo
31bobo16bobo28b2ob2o6b2o6b2ob2o26bobo16bobo28bobo16bobo7b2obo16bob2o
40bobo16bobo35bobo16bobo38bobo16bobo8bobo16bobo38bobo16bobo$25b3o2bo4b
o2b3o30bo2bo2bo4bo2bo4bo2bo2bo28b2o3b2o2b2o3b2o36bo2bo4bo2bo18bo2bo4bo
2bo17b2o4bo2bo4b2o33b2obobobo2bobobob2o33bo2b4o2b4o2bo30bo2b2o12b2o2bo
30b2o2bo8bo2b2o32b2o2bo8bo2b2o33bo14bo34bobo2bo4bo2bobo13bo3bo2b2o2b2o
2bo3bo26bo2bo5bo6bo5bo2bo11b2obo4bob2o34b2o4bo8bo4b2o31b14o32b2o4bo8bo
4b2o28b2o9b2o9b2o26b2o4bo8bo4b2o28b2o4bo8bo4b2o10b2o2bo8bo2b2o43b2o4bo
8bo4b2o35b2o4bo8bo4b2o38b2o4bo8bo4b2o8b2o4bo8bo4b2o38b2o4bo8bo4b2o$22b
3o2b3o2b2o2b3o2b3o26bobobobo2b2o6b2o2bobobobo30b2o6b2o36bo2bobo6bobo2b
o12bo2bobo6bobo2bo20b4o40bobobob4obobobo34bo5bo2bo5bo32bo2bobo6bobo2bo
35bo2bo4bo2bo35bo2bo2bo4bo2bo2bo32bob4o6b4obo35b2o2bo2bo2b2o20b2obo2bo
b2o31b2obob5o6b5obob2o14bob2obo43bo8bo89bo8bo37b2ob2o8b2ob2o35bo8bo40b
o8bo16bo2bo3bo2bo3bo2bo49bo8bo47bo8bo50bo8bo20bo8bo50bo8bo$22bo2bo4b2o
2b2o4bo2bo27bo2bob2obo2bo2bo2bob2obo2bo28b4o8b4o33b3o2bobo2bobo2b3o12b
3o2bobo2bobo2b3o18bobo2bobo36bo2bo2bo6bo2bo2bo33b14o34b2o2b2o4b2o2b2o
33b3o4bo2bo4b3o33b2o4bo2bo4b2o33b2ob2obo4bob2ob2o34bo2bobo2bobo2bo20bo
bo2bobo35bobo3bo6bo3bobo14b4o4b4o87b4o6b4o86bobo10bobo113b2o5b2o5b2o$
25bob2o2bo2bo2b2obo33bo2bo2b3o2b3o2bo2bo31bo6b2o6bo36b5o2b5o18b5o2b5o
19b3obo2bob3o34b2obobo2b4o2bobob2o38b4o40bob3o4b3obo33bo4bo8bo4bo29b3o
3bo8bo3b3o35b2o4b2o38bob4o4b4obo17bo2bob2obo2bo33bo2b2obo6bob2o2bo14bo
2bo4bo2bo35bo2bob2o6b2obo2bo31bo14bo32bo2bob2o6b2obo2bo33bobobo6bobobo
31bo2bob2o6b2obo2bo30bo2bob2o6b2obo2bo15bo3b2o3bo48bo2bob2o6b2obo2bo
37bo2bob2o6b2obo2bo40bo2bob2o6b2obo2bo10bo2bob2o6b2obo2bo40bo2bob2o6b
2obo2bo$26b2ob2o4b2ob2o35bobo12bobo33bo2bob4obo2bo36bo4bo2bo4bo16bo4bo
2bo4bo17bo4bo2bo4bo36bob2obo2bob2obo36b2o3b4o3b2o35bo3bo4bo3bo33bo2b2o
bo2b2o2bob2o2bo29bo3b2obo2b2o2bob2o3bo36b6o39bo14bo17b2obob2obob2o34bo
bob3o4b3obobo16bobob2obobo36b4obo8bob4o29bo2bo3b2o2b2o3bo2bo30b4obo8bo
b4o31b2obobob6obobob2o29b4obo8bob4o30b4obo8bob4o12b4o8b4o45b4obo8bob4o
37b4obo8bob4o40b4obo8bob4o10b4obo8bob4o40b4obo8bob4o$76bo5b4o5bo32bob
4obo2bob4obo34bobobo4bobobo16bob2o6b2obo18b2obob2obob2o34b3o3bo6bo3b3o
33bo12bo32b2ob3obo4bob3ob2o28bobobo2b2o6b2o2bobobo28b3o2b2o6b2o2b3o37b
o4bo37b2ob2o10b2ob2o18bo4bo36b2obo2b3o2b3o2bob2o13bobob2o2b2obobo39bo
8bo34b3o2bobo4bobo2b3o35bo8bo37bobo3b6o3bobo35bo8bo40bo8bo17bo2bob2o2b
2obo2bo50bo8bo47bo8bo50bo8bo20bo8bo50bo8bo$82bo2bo37bobo6b2o6bobo31b2o
bobo6bobob2o12b2obobo6bobob2o17bobo4bobo35bo5bo6bo5bo31bobo3b2o2b2o3bo
bo30b2o16b2o28b2obob2o3bo2bo3b2obob2o31b2o3bo2bo3b2o41bo2bo39bobobo8bo
bobo16b2obob2obob2o36bo2bo2b2o2bo2bo14b3obo8bob3o34b7o2b7o34b2obob4obo
b2o35b7o2b7o34bobobo3b2o3bobobo32b7o2b7o34b7o2b7o15bobo8bobo48b7o2b7o
41b7o2b7o44b7o2b7o14b7o2b7o44b7o2b7o$123bo3bo10bo3bo32bobo10bobo12bobo
bo10bobobo16bobo4bobo40b2ob4ob2o36b2ob2o8b2ob2o33b4o6b4o34bobo2bo6bo2b
obo31b2obo2bo6bo2bob2o33b2o2b2o2b2o2b2o34bobob2o6b2obobo16bo2bob2obo2b
o36bo4bo2bo4bo13bo3bobo6bobo3bo33bo2b2o6b2o2bo33bo2bo2bo2bo2bo2bo34bo
2b2o6b2o2bo33b2obobob2o2b2obobob2o31bo2b2o6b2o2bo34bo2b2o6b2o2bo14b2ob
obo4bobob2o47bo2b2o6b2o2bo41bo2b2o6b2o2bo44bo2b2o6b2o2bo14bo2b2o6b2o2b
o44bo2b2o6b2o2bo$122b2o2b2o10b2o2b2o31bobobobo2bobobobo13bo2b2obo4bob
2o2bo14b2obo2bo2bo2bob2o38bobo2bobo40bo4b2o4bo33b2obo2bo6bo2bob2o31bob
obo2bo2bo2bobobo32bobobo2bo2bo2bobobo34bo2bobo2bobo2bo32bobobobobo4bob
obobobo16bo6bo39b4o4b4o15bo2bobo6bobo2bo35bo4bo2bo4bo34b3o3bo2bo3b3o
35bo4bo2bo4bo34bo2bobo2bo2bo2bobo2bo32bo4bo2bo4bo36bo4bo2bo4bo16bobob
2o2b2obobo49bo4bo2bo4bo43bo4bo2bo4bo46bo4bo2bo4bo16bo4bo2bo4bo46bo4bo
2bo4bo$176bo2bob4obo2bo17bobobo2bobobo18bobo8bobo39bob4obo40bo10bo33b
2o2bo2b2o2b2o2bo2b2o30b2ob4o6b4ob2o31bob4o6b4obo36b2o6b2o34b2obo4b2o2b
2o4bob2o15b2obo2bob2o35b3o3bo4bo3b3o13bobobob4obobobo33b3o14b3o34b3o4b
3o35b3o14b3o33bobobo6bobobo31b3o14b3o30b3o14b3o13bobo3b2o3bobo46b3o14b
3o37b3o14b3o40b3o14b3o10b3o14b3o40b3o14b3o$177b3o6b3o19b3o4b3o18bo2b2o
6b2o2bo37b2obo2bob2o36b2obob8obob2o33b2obobo2bobob2o35bo5bo2bo5bo34bo
5bo2bo5bo33b4o10b4o33bob2ob2o2b2ob2obo20bo4bo36bo3b3o6b3o3bo13bobobo4b
obobo34bo2b4ob4ob4o2bo30bobo12bobo31bo2b4ob4ob4o2bo32b2obo10bob2o30bo
2b4ob4ob4o2bo30bo2b4ob4ob4o2bo11b2obob8obob2o44bo2b4ob4ob4o2bo37bo2b4o
b4ob4o2bo40bo2b4ob4ob4o2bo10bo2b4ob4ob4o2bo40bo2b4ob4ob4o2bo$180b6o50b
2o12b2o37bo2b4o2bo36b2obo2b6o2bob2o36bobo2bobo38bob5o2b5obo35b6o2b6o
34bo3b2o6b2o3bo33bo2bo8bo2bo16b4obo2bob4o31bobobo2b2o4b2o2bobobo14bobo
b2obobo38bo5b4o5bo31bob2ob2o6b2ob2obo32bo5b4o5bo38b2o6b2o36bo5b4o5bo
34bo5b4o5bo12bobo14bobo45bo5b4o5bo41bo5b4o5bo44bo5b4o5bo14bo5b4o5bo44b
o5b4o5bo$179bo6bo21b2obo2bob2o72b2o4b2o40bo10bo39bo6bo39b2o10b2o38bo8b
o37bo2bob6obo2bo32b2obobobo4bobobob2o13bo3bobo2bobo3bo30bobob2o2bob2ob
o2b2obobo13bo2bob2obo2bo35bobobo10bobobo29bo4b2obo2bob2o4bo31b2ob2o8b
2ob2o38bo6bo38b2o10b2o36b2o10b2o13bo2b4obo2bob4o2bo46b2o10b2o43b3o8b3o
46b3o8b3o16b3o8b3o46b3o8b3o$179bobo2bobo21bob2o2b2obo74b4o42bob2o4b2ob
o38b2obo2bob2o42b2o2b2o38b3ob3o4b3ob3o34bobobob2obobobo32bo2bo2bo2bo2b
o2bo2bo2bo11bobo4b4o4bobo30b2o2bo2b2o2b2o2bo2b2o14b4o4b4o35b2obob2obo
2bob2obob2o30b3o12b3o31bo2bobo2bo2bo2bobo2bo37b8o39bobobo2bobobo38bobo
bo2bobobo15b2o3b3o2b3o3b2o48bobobo2bobobo46bo2bo2bo2bo50bo2bo2bo2bo20b
o2bo2bo2bo50bo2bo2bo2bo$180b2o2b2o106bo2bo41b2obo6bob2o37bo2b4o2bo38b
4obo2bob4o34bo2b2ob2o2b2ob2o2bo35bo10bo34bobobo2bo4bo2bobobo13bobo2b2o
2b2o2bobo33b2ob2o6b2ob2o19bo4bo41bo2b2o4b2o2bo35b5o4b5o33b2obob3o4b3ob
ob2o36b3o4b3o36bo2b3o4b3o2bo34bo2b3o4b3o2bo15b2o2bob2obo2b2o48bo2b3o4b
3o2bo44b3o4b3o50b3o4b3o20b3o4b3o50b3o4b3o$340bo6bo41b2o4b2o38bo4bo4bo
4bo34bo3bo6bo3bo37b3o4b3o36b2ob3o6b3ob2o16bo10bo35bo3b2o4b2o3bo16b4ob
2ob4o38bobo2bo2bo2bobo39b6o40bobo8bobo35bo2bobobo2bobobo2bo32b2obo8bob
2o34b2obo8bob2o15bo2b3o2b3o2bo48b2obo8bob2o41b2obo8bob2o44b2obo8bob2o
14b2obo8bob2o44b2obo8bob2o$340b2o4b2o43b4o40bob3o6b3obo33b2obobo6bobob
2o33b3o10b3o40b4o23b2o3b2o3b2o33bobo14bobo14bo2bob2obo2bo39b2o8b2o36b
2o10b2o36bob4o2b4obo35b4o2bo4bo2b4o35b4o2b4o35b2o3b4o2b4o3b2o10b2obobo
3b2o3bobob2o43b2o3b4o2b4o3b2o40bob4o2b4obo46bob4o2b4obo16bob4o2b4obo
44bobob4o2b4obobo$391bo2bo41b2o10b2o35bo14bo33bo3bobob2obobo3bo37b8o
23bobo2bobo35b2o16b2o15bobob2obobo42b2o4b2o37bo2bo8bo2bo32b2obobo8bobo
b2o37b2o4b2o37b3o10b3o31bo2b3o10b3o2bo9bo2b6o2b6o2bo42bo2b3o10b3o2bo
39bobo8bobo46bobo8bobo16bobo8bobo44bobobo8bobobo$485bob4o4b4obo34bo2bo
b6obo2bo37bo8bo20b2obo4bob2o39b2o4b2o20b2obo4bob2o37b3o10b3o33bobob3o
2b3obobo33bob2o10b2obo35b2o10b2o34bo2b2o6b2o2bo31b2o4b2o6b2o4b2o10b2o
5b4o5b2o43b2o4b2o6b2o4b2o38b2ob3o4b3ob2o44b2ob3o4b3ob2o14b2ob3o4b3ob2o
44bo2b3o4b3o2bo$483b2obo2b3o2b3o2bob2o33bob2o6b2obo38bo3b2o3bo21bo8bo
39b2obo2bob2o22bo4bo39bo2b2o8b2o2bo33bobob6obobo34bobobo2bo2bo2bobobo
34bo5bo2bo5bo34bo3b2o2b2o3bo37bo2b2o2b2o2bo17b3o3b2o3b3o50bo2b2o2b2o2b
o42bo2bo3b4o3bo2bo42bo2bo3b4o3bo2bo12bo2bo3b4o3bo2bo44b2o3b4o3b2o$483b
o2bo3bo4bo3bo2bo34bo10bo36b2obo8bob2o17bo2bo4bo2bo37bobobo2bobobo21bo
4bo39bo4bo6bo4bo35bobo4bobo35b2obob4o2b4obob2o33bobo3bo2bo3bobo35b4ob
2ob4o39b3ob2ob3o18bo2b3o2b3o2bo51b3ob2ob3o44bo2b10o2bo44bo2b10o2bo14bo
2b10o2bo47b10o$484b2o3bobo2bobo3b2o36b2o6b2o37b2obob2o2b2obob2o17b4ob
2ob4o38b2obo2bob2o19b2obob2obob2o37b5o6b5o36bo2b4o2bo37bobo10bobo32b2o
b2o4bo2bo4b2ob2o29b3o12b3o66bo2bo2bo2bo108b2o10b2o46b2o10b2o16b2o10b2o
46b2o10b2o$488bob2o2b2obo41bobo2bobo41bob2o2b2obo71bob4obo20bo2bo4bo2b
o40bo8bo35bob2obo2b2o2bob2obo33bo2b2ob4ob2o2bo33bo7bo2bo7bo30bo2b2o2b
4o2b2o2bo38b2o2b2o19bo2bo2bo2bo2bo2bo52b2o2b2o49bobo4bobo50bobo4bobo
20bobo4bobo47bo2bobo4bobo2bo$488bo8bo39bo3b4o3bo36b2obobo4bobob2o17b
12o37bo3bo2bo3bo19b2o6b2o38b2o5b2o5b2o32b2obob2o4b2obob2o34bobo8bobo
34bob2o12b2obo31bobob2o4b2obobo34b2o4bo2bo4b2o13bobo12bobo46b2o4bo2bo
4b2o44bobob2obobo50bobob2obobo20bobob2obobo47b2obobob2obobob2o$487b2o
8b2o38b4o4b4o36bobobo6bobobo17bo10bo35b3ob2o4b2ob3o14b3o2b6o2b3o35bo5b
4o5bo36bo8bo37b2obo2b4o2bob2o32b2obo5b4o5bob2o28bobobobob4obobobobo32b
o4b6o4bo13bo2b3o6b3o2bo46bo4b6o4bo41b2obo8bob2o44b2obo8bob2o14b2obo8bo
b2o45bobo8bobo$541bo2bo44bobo2bobo24bo4bo37bo16bo13bo2bobob2obobo2bo
33bobo4b6o4bobo35b3o2b3o38bo2bobo4bobo2bo36b2obo2b2o2bob2o32b2obo4b4o
4bob2o33bo3bo4bo3bo15b2o2b3o2b3o2b2o48bo3bo4bo3bo43bo2b2o4b2o2bo46bo2b
2o4b2o2bo16bo2b2o4b2o2bo46bo2b2o4b2o2bo$539bobo2bobo42bob4obo23bobo2bo
bo37b3ob2o4b2ob3o17bo3b2o3bo36b2o4bo2b2o2bo4b2o32b3o2bo2bo2b3o37bobo6b
obo42bob2obo39bobo8bobo31bo2bobo2b2o4b2o2bobo2bo12bob8obo45b2obobo2b2o
4b2o2bobob2o38bo12bo44bobo12bobo12bobo12bobo42bobo12bobo$539b2o4b2o41b
2obo2bob2o22bobo2bobo39bo3bo2bo3bo20b2o4b2o44b2o2b2o38bo2bo8bo2bo35b2o
10b2o86bobo2b4o2bobo31b4obobo2bo2bo2bobob4o10b2o2bo6bo2b2o43bob2obobo
2bo2bo2bobob2obo36b2ob4ob2ob4ob2o42b2ob4ob2ob4ob2o12b2ob4ob2ob4ob2o42b
2ob4ob2ob4ob2o$592b2o25b2ob4ob2o40bob4obo25b2o44b3o6b3o35bo2bob2o2b2ob
o2bo34bo2b2o6b2o2bo40bob2obo36b2obobob2o2b2obobob2o33b3o2bo2bo2b3o14bo
2b2obo4bob2o2bo47b3o2bo2bo2b3o41bo2bo4b2o4bo2bo45bo4b2o4bo18bo4b2o4bo
48bo4b2o4bo$618bo2bo4bo2bo38b2o6b2o19b5o2b5o39bo2b6o2bo36b2ob3o2b3ob2o
33bo2b2o3b4o3b2o2bo37b2ob2ob2o36bo2b2obo4bob2o2bo31b3o14b3o10bobo3bo6b
o3bobo42b2obo14bob2o38bobob3o2b3obobo46bob3o2b3obo18bob3o2b3obo48bob3o
2b3obo$619bo2bo2bo2bo41b2o2b2o21bo3bo2bo3bo40bo8bo38bo10bo34b2obo3b2o
2b2o3bob2o38bob2obo37bo4b2o4b2o4bo31bo2b3obo4bob3o2bo9bobob4o6b4obobo
41b2obob3o6b3obob2o37b2obo10bob2o42b2obo10bob2o12b2obo10bob2o42b2obo
10bob2o$620b2o4b2o42bo4bo24bo4bo44b8o38bo2b8o2bo36bo2bo6bo2bo40b2ob2ob
2o37b3obo6bob3o35bo3bo4bo3bo12bobobo2bo6bo2bobobo44bobo4b2o4bobo41bobo
bo6bobobo44bobobo6bobobo14bobobo6bobobo44bobobo6bobobo$671bo2bo25b2o2b
2o91b2o3b2o3b2o37bobo8bobo40b2o4b2o39bo3bo2bo3bo38b2o8b2o14bo3b2o8b2o
3bo45bo2bobo4bobo2bo41bobo4b2o4bobo44bobo4b2o4bobo14bobo4b2o4bobo44bob
o4b2o4bobo$670b2o2b2o74b2o4b2o41b2o4b2o38b2obobo4bobob2o38bo8bo39b2ob
4ob2o41b3o2b3o17b3o2b2o4b2o2b3o47bobobo4bobobo39b2obo2b2o6b2o2bob2o38b
2obo2b2o6b2o2bob2o8b2obo2b2o6b2o2bob2o38b2obo2b2o6b2o2bob2o$750bo6bo
39b2o2bo2bo2b2o35bo3bob2o2b2obo3bo38b3o2b3o44b2o43b2o2bo2bo2b2o18b2o8b
2o49b2obobo4bobob2o38b2ob2o2bo6bo2b2ob2o38b2ob2o2bo6bo2b2ob2o8b2ob2o2b
o6bo2b2ob2o38b2ob2o2bo6bo2b2ob2o$751bo4bo39bo2bobo2bobo2bo35bobo3bo2bo
3bobo36bo4b4o4bo35b6o2b6o36bo4bo2bo4bo16bo2b2o4b2o2bo50bobob4obobo48b
2o2b2o54b2o2b2o24b2o2b2o54b2o2b2o$750b2o4b2o39bobob4obobo37b2obobo2bob
ob2o37b14o34bo3bobo2bobo3bo34bob2o8b2obo15b2obob4obob2o50bobo2b2o2bobo
$798bo8bo40b2ob4ob2o43bo4bo36bo2b3o2bo2bo2b3o2bo31bo2bob8obo2bo17bob4o
bo51bobo10bobo44b3o4b3o51b2o4b2o22b2o4b2o52b2o4b2o$799b3o2b3o41bo2bo2b
o2bo38bob2o8b2obo31b2obo2b3o2b3o2bob2o31b2o5b4o5b2o14b2obo6bob2o47bobo
12bobo38b2o4bobo2bobo4b2o44b4o4b4o18b4o4b4o48b4o4b4o$801bo2bo42b2o8b2o
37b2obob6obob2o34bob2o6b2obo40bo4bo20bo2bob4obo2bo47bo2b5o2b5o2bo37bo
2bo2b2obo2bob2o2bo2bo$845bo2bob6obo2bo39bo2b2o2bo38b2o10b2o41b4o22bo3b
4o3bo49b2o3b2o2b2o3b2o38b3o16b3o$845b2o2bo6bo2b2o40bo4bo37b2o2b2o6b2o
2b2o35b2o2bo2bo2b2o16bobob2o4b2obobo49b3o6b3o43b6o4b6o49bo4bo24bo4bo
54bo4bo$851bo2bo47bo2bo39bo2b3o4b3o2bo37bo8bo16bobo12bobo48bobo6bobo
42bo3bob2o2b2obo3bo44bob3o4b3obo16bob3o4b3obo46bob3o4b3obo$850b2o2b2o
43b3o4b3o36bobobo6bobobo37bob2o2b2obo16bo2b4o4b4o2bo49bobo4bobo42bob2o
12b2obo43b2o10b2o16b2o10b2o46b2o10b2o$897bo2bo6bo2bo33b2ob2o8b2ob2o34b
2ob3o2b3ob2o13b2o5bo4bo5b2o44b2o3bobo2bobo3b2o38bobo5b4o5bobo46b2o4b2o
22b2o4b2o52b2o4b2o$897b2o3bo2bo3b2o86bo10bo16b4o8b4o46bobo12bobo36b2o
2bo4bo4bo4bo2b2o41b3ob2o2b2ob3o16b3ob2o2b2ob3o46b3ob2o2b2ob3o$901b2o2b
2o89bo2b8o2bo15bo2b4o2b4o2bo48bo4b4o4bo39bobo16bobo42bo2bo6bo2bo16bo2b
o6bo2bo46bo2bo6bo2bo$996b3o3b2o3b3o79b2o2bo4bo2b2o39bob2o2b3ob2ob3o2b
2obo43bo3bo2bo3bo18bo3bo2bo3bo48bo3bo2bo3bo$999b2o4b2o23b6o56bobo2bobo
43bo18bo41b3o3bo4bo3b3o12b3o3bo4bo3b3o42b3o3bo4bo3b3o$998bo2bo2bo2bo
21bobo2bobo52b2o3bo2bo3b2o41b8o2b8o42bo2b5o2b5o2bo12bo2b5o2b5o2bo42bo
2b5o2b5o2bo$999bobo2bobo22bobo2bobo51bo2bob2o2b2obo2bo103bo3bo2bo3bo
18bo3bo2bo3bo48bo3bo2bo3bo$998b2ob4ob2o20b2ob4ob2o50b2o4b4o4b2o42b4obo
2bob4o49b2o4b2o22b2o4b2o52b2o4b2o$998bo8bo20bo8bo108bo3bo4bo3bo45b4o2b
o2bo2b4o14b4o2bo2bo2b4o44b4o2bo2bo2b4o$999b3o2b3o22b3o2b3o54bob2o2b2ob
o48bo6bo47bo4b2o4b2o4bo12bo4b2o4b2o4bo42bo4b2o4b2o4bo$1001bo2bo26bo2bo
54b3ob2o2b2ob3o42bo2b2o6b2o2bo44b3o3b4o3b3o14b3o3b4o3b3o44b3o3b4o3b3o$
1088bo4b2o2b2o4bo40bobo3bo4bo3bobo45bobo6bobo18bobo6bobo48bobo6bobo$
1088bob2obo4bob2obo40bo2b5o2b5o2bo48bo4bo24bo4bo54bo4bo$1089bo2b2o4b2o
2bo39b2obobo3bo2bo3bobob2o$1090bo10bo40bo2bo2b4o2b4o2bo2bo44b3o4b3o20b
3o4b3o50b3o4b3o$1087b3o12b3o39bob2o10b2obo46bo2b4o2bo20bo2b4o2bo50bo2b
4o2bo$1087bo16bo40bo2b4o2b4o2bo44bo3bo6bo3bo14bo3bo6bo3bo48bo6bo$1147b
o2bo4bo2bo46b4o8b4o14b4o8b4o45b3o8b3o$1148bo8bo137bo14bo$1149b8o50b5o
2b5o18b5o2b5o46bo2b4o2b4o2bo$1150b6o50bo4bo2bo4bo16bo4bo2bo4bo44b2obo
3bo2bo3bob2o$1149bo6bo48bob3o6b3obo14bob3o6b3obo45bobobob2obobobo$
1147b3o6b3o46bobo2b2o2b2o2bobo14bobo2b2o2b2o2bobo45bobobo4bobobo$1146b
o4bo2bo4bo44b2obo3bo2bo3bob2o12b2obo3bo2bo3bob2o42b2o2bo2bo2bo2bo2b2o$
1147b3ob4ob3o45bo2b2o8b2o2bo12bo2b2o8b2o2bo43bobobo6bobobo$1149b2o4b2o
49bo2bo6bo2bo16bo2bo6bo2bo44bo2b2o8b2o2bo$1152b2o53b3o6b3o18b3o6b3o45b
3o3bo4bo3b3o$1148bob2o2b2obo52b2o2b2o18b3o3b2o2b2o3b3o45b5o2b5o$1148b
2obo2bob2o49b4ob2ob4o14bo3b4ob2ob4o3bo41b2obo10bob2o$1207bo10bo13bo2bo
bo10bobo2bo39bobo2bo8bo2bobo$1208b2ob4ob2o15b3o2b2ob4ob2o2b3o40bo2bobo
3b2o3bobo2bo$1203b2obobob2o2b2obobob2o13bobob2o2b2obobo44bobobo2bo2bo
2bobobo$1203bob2o3bo4bo3b2obo12bo2bobo4bobo2bo44b2o2b2o4b2o2b2o$1207b
2ob2o2b2ob2o16b3o2b2o2b2o2b3o46bobob4obobo$1204b2o14b2o73b2o2bob4obo2b
2o$1203bo2b14o2bo10b4ob4o2b4ob4o43bobo8bobo$1204b2o2bobob2obobo2b2o11b
o2bobob2o2b2obobo2bo43bobob2o2b2obobo$1206bobo3b2o3bobo20bo4bo48b2o2bo
b2o2b2obo2b2o$1206bobo8bobo17b2obob2obob2o46bobobo6bobobo$1205b2obo2bo
2bo2bob2o15bo4bo2bo4bo44bo2b2ob2o2b2ob2o2bo$1209b3o2b3o20b3obo2bob3o
46b2o12b2o$1212b2o25b2o4b2o50b2o8b2o$1211bo2bo82bo10bo$1212b2o84bo8bo$
1297b2o8b2o!
Some of those have a back that is a sparker by itself:

Code: Select all

x = 24, y = 55, rule = B3/S23
7bo8bo$7bo8bo2$2bo2bob2o6b2obo2bo$2b4obo8bob4o$7bo8bo$4b7o2b7o$4bo2b2o
6b2o2bo$5bo4bo2bo4bo$2b3o14b3o$2bo2b4ob4ob4o2bo$4bo5b4o5bo$5b2o10b2o$
6bobobo2bobobo$4bo2b3o4b3o2bo$4b2obo8bob2o$2b2o3b4o2b4o3b2o$bo2b3o10b
3o2bo$b2o4b2o6b2o4b2o$6bo2b2o2b2o2bo$7b3ob2ob3o2$9b2o2b2o$4b2o4bo2bo4b
2o$4bo4b6o4bo$5bo3bo4bo3bo$o2bobo2b2o4b2o2bobo2bo$4obobo2bo2bo2bobob4o
$5b3o2bo2bo2b3o$2b3o14b3o$2bo2b3obo4bob3o2bo$5bo3bo4bo3bo$6b2o8b2o$8b
3o2b3o$6b2o2bo2bo2b2o$5bo4bo2bo4bo$4bob2o8b2obo$3bo2bob8obo2bo$3b2o5b
4o5b2o$9bo4bo$10b4o$6b2o2bo2bo2b2o$7bo8bo$7bob2o2b2obo$5b2ob3o2b3ob2o
$6bo10bo$5bo2b8o2bo$5b3o3b2o3b3o$8b2o4b2o$7bo2bo2bo2bo$8bobo2bobo$7b2o
b4ob2o$7bo8bo$8b3o2b3o$10bo2bo!
I'm not sure how useful the sparker will be, though.
This means that something like this (supporting with a P6 pipsquirter and a P6 thumb) will also work:

Code: Select all

x = 28, y = 55, rule = B3/S23
9b2o6b2o$7bo4bo2bo4bo$3b2obo5bo2bo5bob2o$3bo9b2o9bo$4b3ob2o2bo2bo2b2ob
3o$10b3o2b3o$4b2o6bo2bo6b2o$4bo6bo4bo6bo$2bobo3bo10bo3bobo$bobo3bobob
6obobo3bobo$bo2b4o4bo2bo4b4o2bo$2b2o5b2o2b2o2b2o5b2o$3bob3o3b2o2b2o3b
3obo$bo2bo4bobob2obobo4bo2bo$b2obo2b2o4b2o4b2o2bob2o$4bobo2bo8bo2bobo$
b2obob3o10b3obob2o$b2obo2b3o8b3o2bob2o$4bo18bo$4b2o4bob4obo4b2o$10b3o
2b3o$9bo2bo2bo2bo$5b2o14b2o$6bo2bobo4bobo2bo$5bo3bobo4bobo3bo$5b2o4b2o
2b2o4b2o$3b2o18b2o$2bo3b2o2bo6bo2b2o3bo$3b3o2b3o6b3o2b3o$6b2obobo4bobo
b2o$b4obo5bo2bo5bob4o$bo2bobob2obo4bob2obobo2bo$6b3o10b3o$5bo2b2obo4bo
b2o2bo$5b2obo2bo4bo2bob2o$8b2obo4bob2o$5b3o5b2o5b3o$4bo3b2obob2obob2o
3bo$4b5o10b5o$ob2o4b2obo4bob2o4b2obo$2obob2o5bo2bo5b2obob2o$3bobo4b2o
4b2o4bobo$3bobo16bobo$4bo4bo8bo4bo$8bo9bo$7bo4bo$7b3o3bo3bobo$5b2o4b3o
2bobob2o$6bobo8bobo3b2o$6bob9o2b5obo$7bo9b2o3bo2bo$9bob6o2b2o3bo$8b2ob
o2bo2bobo5b3o$17bobo7bo$18bo!
Bx222 IS MY WORST ENEMY.

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PK22
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Re: Oscillator Discussion Thread

Post by PK22 »

siffrin normal found a p9 T-nose tetramer on February 11th, which can be reduced to the following monomer:

Code: Select all

x = 21, y = 11, rule = B3/S23
10bo$10bo$6bob5obo$5bob2o3b2obo$6bo2bobo2bo$2b2o3bobobobo3b2o$bobo5bo
bo5bobo$bo6b2ob2o6bo$2o7bobo7b2o$7bobobobo$7b2o3b2o!
As far as I know, this is the first p9 T-nose.
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hotdogPi
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Re: Oscillator Discussion Thread

Post by hotdogPi »

There's also this p18:

Code: Select all

x = 37, y = 37, rule = B3/S23
10bo15bo$10b3o11b3o$13bo9bo$12b2o9b2o4$16b2ob2o$16bo3bo$17b3o$2o33b2o$
bo33bo$bobo29bobo$2b2o11bo2bo2bo11b2o$15b7o$13b2o7b2o$7b2o5bob2ob2obo
5b2o$7bobo4bob2ob2obo4bobo$9bo3b2o7b2o3bo$7bobo4bob2ob2obo4bobo$7b2o5b
ob2ob2obo5b2o$13b2o7b2o$15b7o$2b2o11bo2bo2bo11b2o$bobo29bobo$bo33bo$2o
33b2o$17b3o$16bo3bo$16b2ob2o4$12b2o9b2o$13bo9bo$10b3o11b3o$10bo15bo!
Is this p16 known?

Code: Select all

x = 25, y = 25, rule = B3/S23
4bo15bo$3bobo13bobo$3bobo13bobo$b3ob3o9b3ob3o$o7bo7bo7bo$b3ob2obo7bob
2ob3o$3bobo4bobobo4bobo$3bo3b11o3bo$4b2obo9bob2o$7bob7obo$6b2obo5bob2o
$7bobo2bo2bobo$6b2obobobobob2o$7bobo2bo2bobo$6b2obo5bob2o$7bob7obo$4b
2obo9bob2o$3bo3b11o3bo$3bobo4bobobo4bobo$b3ob2obo7bob2ob3o$o7bo7bo7bo$
b3ob3o9b3ob3o$3bobo13bobo$3bobo13bobo$4bo15bo!
Two p9 partials completed via new T-nose

Code: Select all

x = 26, y = 26, rule = B3/S23
16bo$11b2o2bobo$11bo3bobo$12b3obob2o$14bobobobo$2bo12b2o4bo$2b3o10bob
4o$5bo5b2o4bo$4b2o5bobo3bob2o$12b6obo2bo$7bo5b4o2bob2o$6bobo10bo$2o3bo
bo10b2o$o2bo3b2o$b6obo3b3o$8b3obobo$b6obo3b3o2b2ob2o$o2bo3b2o9bobo$2o
3bobo9bo2bobo$6bobo8b3ob4o$7bo10bo6bo$17b2ob2ob2o$4b2o13bobobo$5bo11b
2obo2bo$2b3o15bobo$2bo16b2ob2o!

Code: Select all

x = 24, y = 26, rule = B3/S23
17bo$12b2o2bobo$12bo3bobo$13b3obob2o$15bobobobo$16b2o4bo$16bob4o$12b2o
4bo$12bobo3bob2o$13b6obo2bo$14b4o2bob2o$9b3o8bo$9bobo7b2o$9b3o2$10bo$
10bo$6bob5obo$5bob2o3b2obo$6bo2bobo2bo$2b2o3bobobobo3b2o$bobo5bobo5bob
o$bo6b2ob2o6bo$2o7bobo7b2o$7bobobobo$7b2o3b2o!
Edit 2 hours later

Here is a p10. This is a great opportunity for a high-clearance dot fountain; just change the supports on the edge.

Code: Select all

x = 56, y = 31, rule = B3/S23
8b2o11b2o$8b2o11b2o2$12b2o3b2o26b2o3b2o$12bobobobo26bobobobo$7bo6bobo
6bo23bobo$8b2o4bobo4b2o18b2o4bobo4b2o$5bo2bo2bo3bo3bo2bo2bo15bo2bo3bo
3bo2bo$2o4b2o3bo7bo3b2o4b2o13bo7bo$2o4bo5b2o3b2o5bo4b2o14b2o3b2o$13b5o
28b5o$7b2o13b2o$3b2o4bo11bo4b2o$3bo5b2o9b2o5bo$4b3o3bo9bo3b3o$7bo2bo9b
o2bo$4b3o3bo9bo3b3o$3bo5b2o9b2o5bo$3b2o4bo11bo4b2o$7b2o13b2o$13b5o$2o
4bo5b2o3b2o5bo4b2o$2o4b2o3bo7bo3b2o4b2o$5bo2bo2bo3bo3bo2bo2bo$8b2o4bob
o4b2o$7bo6bobo6bo$12bobobobo$12b2o3b2o2$8b2o11b2o$8b2o11b2o!
p46 twin bees variant

Code: Select all

x = 43, y = 43, rule = B3/S23
b2o$b2o8$b3o3b3o$o2bo3bo2bo$2obo3bob2o11$8b2o$8b2o$13bo$11bo2bo$10bo$b
2o7bo$b2o7bo6bo$11bo6bo2$7b3o3bo3bo$14b3o14b2o$11bo7b2o10bobo$11bo7b2o
12bo$11bo19b3o4$31b3o$14b2o17bo7b2o$14b2o15bobo7b2o$31b2o!
p7 possibly useful sparker

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x = 14, y = 14, rule = B3/S23
6b3o$2b2obo$3bobo3bo$3bobo3bo$2obo6b2o$obo10bo$3b4o6bo$7bo5bo$3b2o2bo
2b3o$3bobobo$4b2obob4o$8bo3bo$9bo$8b2o!
p8 needs an octopus-related name

Code: Select all

x = 29, y = 29, rule = B3/S23
6bo15bo$6b3o11b3o$9bo9bo$8b2o9b2o2$10b3o3b3o$2o7bo3bobo3bo7b2o$bo7bo3b
obo3bo7bo$bobo9bobo9bobo$2b2o2b2o2b2obobob2o2b2o2b2o$5bo3bo2bo3bo2bo3b
o$5bo3bobo5bobo3bo$5bo4bo7bo4bo$6b4o9b4o2$6b4o9b4o$5bo4bo7bo4bo$5bo3bo
bo5bobo3bo$5bo3bo2bo3bo2bo3bo$2b2o2b2o2b2obobob2o2b2o2b2o$bobo9bobo9bo
bo$bo7bo3bobo3bo7bo$2o7bo3bobo3bo7b2o$10b3o3b3o2$8b2o9b2o$9bo9bo$6b3o
11b3o$6bo15bo!
p8 (obvious reduction: keep only two figure eights and only one dependent quadrant)

Code: Select all

x = 35, y = 35, rule = B3/S23
10b2o11b2o$9bo2bob2o3b2obo2bo$9b2obobobobobobob2o$12bo3bobo3bo$12bo3bo
bo3bo$13bobo3bobo3$13bo7bo$b2o9bobo5bobo9b2o$obo8bo3bo3bo3bo8bobo$o9bo
3bo5bo3bo9bo$b4o4bo3bo7bo3bo4b4o$5bo2bo3bo9bo3bo2bo$b2o6bobo11bobo6b2o
$bo3bo4bo13bo4bo3bo$2b3o25b3o2$2b3o25b3o$bo3bo4bo13bo4bo3bo$b2o6bobo
11bobo6b2o$5bo2bo3bo9bo3bo2bo$b4o4bo3bo7bo3bo4b4o$o9bo3bo5bo3bo9bo$obo
8bo3bo3bo3bo8bobo$b2o9bobo5bobo9b2o$13bo7bo3$13bobo3bobo$12bo3bobo3bo$
12bo3bobo3bo$9b2obobobobobobob2o$9bo2bob2o3b2obo2bo$10b2o11b2o!
p11 not quite billiard table

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x = 17, y = 17, rule = B3/S23
7b2o$7bobo$9bo2bo$8b2obobo$11b2o$8b3o$7b2o2b2o2b2o$2o4bo3bo2bo2bo$o2bo
b2o3bo2bobo$b3obo4bo2bob2o$5bob3ob2o$3b2obo3bo$2bobobo3bo$3bo3b3o2$6bo
b2o$6b2obo!
First seminatural baker's dozen

Code: Select all

x = 39, y = 39, rule = B3/S23
15b2o5b2o$15b2o5b2o3$15b3o3b3o$15bobo3bobo$10bo4b2o5b2o4bo$9bobo15bob
o2$7bo3b2o3b2o3b2o3b2o3bo$6bo5bo3b2o3b2o3bo5bo$7bobo19bobo$9b2o17b2o3$
2o2b3o25b3o2b2o$2o2bobo2b2o17b2o2bobo2b2o$4b2o3b2o17b2o3b2o4$4b2o3b2o
17b2o3b2o$2o2bobo2b2o17b2o2bobo2b2o$2o2b3o25b3o2b2o3$9b2o17b2o$7bobo19b
obo$6bo5bo3b2o3b2o3bo5bo$7bo3b2o3b2o3b2o3b2o3bo2$9bobo15bobo$10bo4b2o
5b2o4bo$15bobo3bobo$15b3o3b3o3$15b2o5b2o$15b2o5b2o!
User:HotdogPi/My discoveries

Periods discovered:

All evens ≤128 except 52,58,78,82,92,94,98,104,118,122

5-15,㉕-㉛,㉟㊺,51,63,65,73,75
1㊳㊵㊹㊼㊽,54,56,72,74,80,90,92
217,240,300,486,576

Guns: 20,21,32,54,55,57,114,117,124,126
SKOPs: 32,74,76,102,196
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