B2e3-a/S12-i3-a7

[drc]

B2e3-a/S12-i3-a7 is a rule that has many promising attributes. To start, here is the main stunning feature, a (7,6)c/58 puffer, that produces 1 domino every 2 cycles:

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x = 3, y = 4, rule = B2e3-a/S12-i3-a7
o$o$obo$bo!

That isn't the only knightpuffer, there's this one, which produces a period 4 oscillator and a spaceship (the most common one) every cycle:

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x = 4, y = 12, rule = B2e3-a/S12-i3-a7
2b2o$3bo7$o$o$obo$bo!

There are also several c/2 puffers based off of an engine which I will get to later.

Here's the most common glider, it is around 63-64% less common than the first puffer, but that isn't much on the relative scale, considering soups throw off a decent amount of objects (74.4 as compared to CGOL's 21.5):

Code: Select all

x = 4, y = 4, rule = B2e3-a/S12-i3-a7
bo$2b2o$3bo$4o!

Other spaceships can be made by rubbing the sparks and debris of two puffers together, as seen in this natural occurrance (For reasons unknown, this is labeled as ov_p0 on catagolue, rather than xq116_###:

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x = 16, y = 16, rule = B2e3-a/S12-i3-a7
obobbbobboooboob$
bbbbobbobooobboo$
bbobooobobbbobbo$
oboboobobooobooo$
oboooooooooobobo$
oobobboooooobobb$
bobboobbbooboooo$
obbbobobbooobboo$
oooboooobobboobb$
oooooooooobobobo$
obbooobboobboobo$
bbbbboobobbobbbb$
oobboobobboboobb$
oobooboobbboobbb$
bbbbooboobboobob$
bboobboobobboobb!

Most c/2 puffers and spaceships use this front end, or a related one. It is a failed replicator and becomes two p288 puffers and some other debris by itself:

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x = 2, y = 7, rule = B2e3-a/S12-i3-a7
2o$bo$2o2$2o$bo$2o!

Here are some c/2 spaceships:

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x = 73, y = 61, rule = B2e3-a/S12-i3-a7
7bo$bo6bo$2ob2ob2o2$2ob2ob2o$bo6bo$7bo6$3b2o$bo2bo$o2b2o3$o2b2o$bo2bo$
3b2o11$7b3o$o5bo2bo$o5bob2o2$o5bob2o$o5bo2bo$7b3o12$3o$obo63bobo$2o26b
obo21b3o10bo$27b2obob2o2b2o12bo4bo15bo$bo24bo6bo23bo10bo3bo$obo8b2o14b
2ob2obo23bo10b4o2$obo8b2o14b2ob2obo23bo10b4o$bo24bo6bo23bo10bo3bo$27b
2obob2o2b2o12bo4bo15bo$2o26bobo21b3o10bo$obo63bobo$3o!

And some c/2 puffers:

Code: Select all

x = 52, y = 63, rule = B2e3-a/S12-i3-a7
2o$6b2o$3bo3bo$2o2bob2o2$2o2bob2o$3bo3bo$6b2o$2o10$bo$o2bo$o3bo$4o2$4o
$o3bo$o2bo$bo16$5bo$3bobo$4bo8b3o$16b2o$11bo5b2o$8b3o6b3o8b2o$8bo2bob
2o4b2o10b2o$8b2obobo5b2o7b2ob4o2b5obo2bo3b2o$o10bob3o18bo2bo5bo2b2o3bo
$o10b2obobo12b2ob3o2b3o8bob2o2$o10b2obobo12b2ob3o2b3o8bob2o$o10bob3o
18bo2bo5bo2b2o3bo$8b2obobo5b2o7b2ob4o2b5obo2bo3b2o$8bo2bob2o4b2o10b2o$
8b3o6b3o8b2o$11bo5b2o$16b2o$4bo8b3o$3bobo$5bo!

Here are some hasslers of the failed replicator, at periods p32, p64, and p68. Note that some of these could possibly be chained to shoot the period 6 c/2 glider or something:

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x = 110, y = 60, rule = B2e3-a/S12-i3-a7
6bo3bo37bo31b2o26b2o$o5bo4bo6bo28bobo2bo3bo$2o6b3o6b2o21bo6bo4bo4bo12b
o23b2o$40b2o5b3o4b3o12b2o22bo2bobo$2o6b3o6b2o75b2ob2o$o5bo4bo6bo21b2o
5b3o4b3o12b2o9bo28bo$6bo3bo29bo6bo4bo4bo12bo9bo13b2ob2o6b2o2bo$47bobo
2bo3bo36bo2bobo7bo$48bo45b2o2$82b2o22b2o3$16b2o$o12bobo2bo5bo$2o11b2ob
2o5b2o2$2o11b2ob2o5b2o$o12bobo2bo5bo$16b2o6$8bo40bo$7bo10b3o2b2o23bobo
2bo3bo$7b3o8bo5bo15bo7bo4bo4bo13bo$5bo12b3o2b2o15b2o6b3o4b3o13b2o$4b3o
$3b2o13b3o2b2o15b2o6b3o4b3o13b2o$4bo13bo5bo15bo7bo4bo4bo13bo$b2o15b3o
2b2o23bobo2bo3bo$obo46bo$2bo$27b3ob3o$27bobobobo3$27bobobobo$27bobobob
o$27b3ob3o2$b3ob3o$bobobobo$bobobobo3$bobobobo$b3ob3o$32bo$32bobo$10b
2o2b3o15b2o$10bo5bo13bo$10b2o2b3o13b2o$28b3o$10b2o2b3o12bo$10bo5bo8b3o
$10b2o2b3o10bo$26bo!

Here are some p2, p3, p4, p6, p10, and p44 oscillators to add to the f-rep hasslers above:

Code: Select all

x = 60, y = 122, rule = B2e3-a/S12-i3-a7
2o4b2o4b2o6b2o16b2ob2o5b2o4b2o2b2o$38bo7bo2bo$2b2o4b2o4b2o6b2o17bobo2b
ob4o4b2o$7b2o6b2o6b2o16bobo5bobo$6b2o8b2o6b2o21bo6b2o2b2o$49b2o$26b2o$
27b2o$28b2o2$30b2o$31b2o$32b2o2$34b2o6$o8bo3bo3bo$2o6b3o2b2o2bo$bo3bo
8bo$bo3bo2b3o3bo2bo$b2o7bo6bo$2bo4b2o15$36bo$26b2o5bo2bo$2b3o6b3o7b3o
2bo6bo$2bobo6bobo7bobo7b2o3bo$2b3o6b3o2bo4b3o2bo9bo$16bo9b2o$30b2ob2o
14$b2o2$bo2bo$bo2bo2$3b2o15$5b2o$o$o2bo$4bo$2bobo$7bo$7bo$b2o13$10bo2$
10bo$7bobobobo$10bo2$10bo3$3o5bo$obo5bo7b3o$3o5bo6b5o$13bob2ob2o$10bo
4b5o$11bo4b3o3$8bo$7bobo$6bo3bo$7bobo$8bo!

There's also an uncommon 11-cell 49c/250 breeder that sometimes shows up, although surprisingly apgluxe handles it quite well:

Code: Select all

x = 7, y = 7, rule = B2e3-a/S12-i3-a7
bo2b2o$6bo$o4bo2$2o$bobo$2bo!

[Goldtiger997]

I found some spaceships, but only more c/2s, a glide-symmetric c/3, and some 2c/5s:

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x = 108, y = 56, rule = B2e3-a/S12-i3-a7
76b2o5b2o$77b2o3b2o$77b2o3b2o$77bobobobo$74b2obo5bob2o$75bobobobobobo$
77bobobobo$76b3o3b3o$75bo3bobo3bo$74b2o3bobo3b2o$77bobobobo$74b2obobob
obob2o$76b2ob3ob2o$77b2obob2o$75bo9bo$75b2o7b2o$75bo2bo3bo2bo$76bobo3b
obo$73b4obo3bob4o$73b2ob3o3b3ob2o$73b4obo3bob4o$73b2obo7bob2o$74bobo7b
obo$75b2o7b2o$78b2ob2o2$78b2ob2o$79bobo$76b2obobob2o$77bo5bo$76b2obobo
b2o$78b2ob2o$79bobo$78b2ob2o$77bobobobo$77bobobobo$79bobo$74bo5bo5bo$
73bobo4bo4bobo$53bo11bo13bobo$52bobo4bo4bobo6bo4bo3bo4bo$58bobo18bobo$
52bo4bo3bo4bo6b2o4bobo4b2o$58bobo17b5o$52b2o4bobo4b2o6b2ob9ob2o$57b5o
14bo3bo3bo$52b2ob9ob2o6b2obobobobobob2o11bo$38bob2ob2obo8bo3bo3bo14b2o
b2o16b2o2bo$3bobo20b2obo22b2obobobobobob2o6b2o3bo3bo3b2o7b3o2b2o2bo2bo
$3bobo31b2o2bobo2b2o9b2ob2o10b2o5bobo5b2o5bo3bo3bo3bo$20b3obobo4bo7b3o
b3o6b2o3bo3bo3b2o5b2ob5ob5ob2o5b5o3b5o$b2o3b2o12bo3b2o2bo9bobo3bobo4b
2o5bobo5b2o5bob2o7b2obo8bo7bo$2obobob2o11bobo5bobo7b3o3b3o4b2ob5ob5ob
2o6bo11bo$3bobo15bo7bo22bob2o7b2obo$bobobobo45bo11bo$2bo3bo!

I also found an extensible 2c/5 wickstretcher and wickeater, which I can spot at least 3 different faces in:

Code: Select all

x = 41, y = 137, rule = B2e3-a/S12-i3-a7
29b4o$26bob2o2b2obo$5b8o11b3obob2obob3o$2b3obob2obob3o8bobo3b2o3bobo$
2bobob2o2b2obobo7bo3b3o2b3o3bo$3b2o8b2o9bo2b2ob2ob2o2bo$3b3o6b3o12b2o
4b2o$8b2o20b2o$3bo10bo10b2o8b2o$8b2o18b6o$3b2obo4bob2o$5bo2b2o2bo$5bob
o2bobo14bo6bo$28bob2obo$6bo4bo17bo2bo$28b6o$6b6o16b2o2b2o2$8b2o20b2o$
29bo2bo$28b2o2b2o$6b6o15bo6bo$5bo6bo14bobo2bobo$4b2o6b2o12b2obo2bob2o$
3bobobo2bobobo9bo4bo2bo4bo$b5obo2bob5o6bobobobo2bobobobo$bo14bo8bo10bo
$bo3bo6bo3bo8bo10bo$b2o3b6o3b2o$3bo10bo14bo2bo$25b2obo4bob2o$4b4o2b4o
12b10o$3b4o4b4o13bo4bo$8b2o15b2obob2obob2o$3b2o2bo2bo2b2o10b3o6b3o$4bo
8bo12bo3b2o3bo$30b2o$29b4o$6b6o14bobo4bobo$3b4o4b4o9bobobo4bobobo$2bob
o8bobo7b2obo8bob2o$2bo3b6o3bo7b4o8b4o$2bo3bo4bo3bo7b2obo3b2o3bob2o$5bo
6bo$3bo4b2o4bo11b2o2b2o2b2o$25b2o8b2o$3b2o3b2o3b2o15b2o$3b5o2b5o$5bob
4obo17b2o$5b8o$6bo4bo18b2o2$6bob2obo18b2o$6bo4bo$30b2o$8b2o$30b2o$7b4o
$5b2o4b2o17b2o$5bob4obo$3bobo6bobo15b2o$7bo2bo$bobobobo2bobobobo13b2o$
2obob2o4b2obob2o$2o3b8o3b2o$b3ob2o4b2ob3o10b2o4b2o$2b2o3b4o3b2o11bobo
2bobo$4b3o4b3o9bo14bo$7bo2bo11bob2obo6bob2obo$3bo4b2o4bo6b2ob3o8b3ob2o
$6b6o9b2o6bo2bo6b2o$3b2o2b4o2b2o7b2o6b2o6b2o$4bo8bo14bo4bo2$7b4o17bo4b
o$4bob2o2b2obo$2b3obob2obob3o11bob4obo$2bobo3b2o3bobo10b2ob4ob2o$bo3b
3o2b3o3bo10bobo2bobo$2bo2b2ob2ob2o2bo8b2obobo2bobob2o$5b2o4b2o10bo14bo
$8b2o13bob12obo$3b2o8b2o9b3o8b3o$6b6o2$28b2o2b2o$5bo6bo12b3o6b3o$6bob
2obo14bo8bo$7bo2bo14b2o2b4o2b2o$6b6o18b2o$6b2o2b2o15bo6bo2$8b2o$7bo2bo
16b8o$6b2o2b2o12b3obob2obob3o$5bo6bo11bobob2o2b2obobo$5bobo2bobo12b2o
8b2o$4b2obo2bob2o11b3o6b3o$2bo4bo2bo4bo14b2o$bobobobo2bobobobo8bo10bo$
3bo10bo15b2o$3bo10bo10b2obo4bob2o$27bo2b2o2bo$7bo2bo16bobo2bobo$3b2obo
4bob2o$4b10o14bo4bo$6bo4bo$3b2obob2obob2o7b3o3b6o3b3o$3b3o6b3o7bobobo
8bobobo$4bo3b2o3bo8bo7b2o7bo$8b2o12b2o3b2o4b2o3b2o$7b4o12bo14bo$4bobo
4bobo12b3o4b3o$2bobobo4bobobo8bo2bo6bo2bo$b2obo8bob2o6b2obo8bob2o$b4o
8b4o6bo5bo2bo5bo$b2obo3b2o3bob2o6b3o10b3o$23bo14bo$4b2o2b2o2b2o9b2o12b
2o$3b2o8b2o13bo4bo$8b2o15bo3bo2bo3bo$25b3obo2bob3o$8b2o14bo3bo4bo3bo$
24bob2o6b2obo$8b2o15bo3bo2bo3bo$26bo8bo$8b2o15b4o4b4o$25b3o6b3o$8b2o
15bobo6bobo$24bo12bo$8b2o12b3o12b3o$22b2o2bo8bo2b2o$8b2o2$8b2o2$8b2o!

FYI, I have searched for period 3 c/3s up to width 16, c/4s up to width 12, and c/5s up to width 10. Also some diagonal searches but I didn't record the widths. Currently running searches for more spaceships.

I also searched for oscillators with osrc. Mostly boring, but I a found a p5 (none found with apgsearch), which is slighly sparky:

Code: Select all

x = 172, y = 109, rule = B2e3-a/S12-i3-a7
150bo12bo$150bo2b3o2b3o2bo$152b10o$152bob6obo$153bo2b2o2bo$150b3o2bo2b
o2b3o$152bob2o2b2obo$152bo8bo$151b2o8b2o2$45b2o3b2o33b2o3b2o$46b5o35b
5o38bo5bo$67b2o3b2o51bo13bo$68b5o52bo2b2obobob2o2bo12bo$85b2obo38bo3bo
bo3bo18bo6b2o3b2o$46b5o15bo7bo11bo4bo34bo3bo3bo3bo11bob2o2bo7b5o$45b2o
3b2o14b2o2bo2b2o13b4o34bob4ob4obo11bo3bo10bobo$68b2ob2o13bobo36b3obo5b
ob3o11bo3bo$66b4ob4o11b2ob3o33bo5bobo5bo10b4obo7b3ob3o$69bobo18bo36b3o
bobob3o12bobob3o4b3o2bo2b3o$66b2o5b2o11b2o37bo2bo7bo2bo16bo4bo2b2ob2o
2bo$45b2o3b2o16b2ob2o13bobo2bo33bo3b3ob3o3bo10bo3b2o8bobobo$46b5o37b4o
36b2o5b2o13bob2ob2o$67bo5bo12bo64bo4bo7bo3bo$44bo7bo14bo5bo12b6o38bo3b
o15b2o12bobobo$44b2o5b2o16bobo16bobo37b2o5b2o13bob2o11bobo$46b5o16bo5b
o12b3o40bobobobo28b2ob2o$48bo20bobo14bobo2bo35bob3ob3obo12bo13bobobo$
44b2o5b2o16bobo16b4o35bo2bo3bo2bo12bob2o$44bobo3bobo14bobobobo12bo43bo
3bo16bo12bo3bo$46bobobo16b2o3b2o12bobob2o33b4ob2ob2ob4o10b2o12bobobo$
44bobobobobo15bo3bo17bo34bo2bo7bo2bo10bob2o11bobo$44bob5obo14bobobobo
12bobo39b4ob4o27b2ob2o$67bo5bo12bo4bo38bo3bo15bo13bobobo$45b3ob3o36b4o
34bo2bo5bo2bo11bob2o$47bobo17bobobobo12bobo38bobobobobobo13bo12bo3bo$
67b2o3b2o12b2ob3o34b2obobobobob2o11b2o12bobobo$68bo3bo17bo34b2obo7bob
2o10bob2o11bobo$46bo4bo15bobobobo12b2o43bobo30b2ob2o$42bo12bo11bo5bo
12bobo2bo38bo3bo15bo13bobobo$42bo3b2o2b2o3bo32b4o38b2ob2o15bob2o$44bob
2o2b2obo13bobobobo12bo42b2o3b2o15bo12bo3bo$44bo2bo2bo2bo13b2o3b2o12b6o
38bo3bo15b2o12bobobo$48b2o18bo3bo15bobo38bo5bo14bob2o11bobo$67bobobobo
12b3o42bobo30b2ob2o$43bo2bo4bo2bo12bo5bo12bobo2bo39bobo16bo13bobobo$
42b14o32b4o58bob2o$45bo6bo14bobobobo12bo64bo12bo3bo$42b2o10b2o11b2o3b
2o12bobob2o58b2o12bobobo$6bo37bob6obo14bo3bo17bo59bob2o11bobo$42b2ob2o
4b2ob2o11bobobobo12bobo75b2ob2o$4bo3bo34bobo6bobo12bo5bo12bo4bo37b3o2b
3o13bo13bobobo$4bo3bo33bo2bo6bo2bo32b4o36b10o12bob2o$5b3o34b2ob2o4b2ob
2o11bobobobo12bobo41b6o15bo12bo3bo$47b4o16b2o3b2o12b2ob3o34bo2bo2b2o2b
o2bo10b2o12bobobo$3bob3obo32b3obo4bob3o12bo3bo17bo35bobo2bo2bo2bobo10b
ob2o11bobo$43bo2bo4bo2bo12bobobobo12b2o40b4o2b4o26b2ob2o$4b2ob2o36bob
4obo14bo5bo12bobo2bo35b2o8b2o11bo13bobobo$3bo5bo33bobo6bobo33b4o38b2o
2b2o14bob2o$o3b2ob2o3bo30bo10bo12bobobobo12bo40b2o8b2o12bo12bo3bo$o4bo
bo4bo31b4o2b4o13b2o3b2o12b6o38b2o2b2o14b2o12bobobo$4b2ob2o33bobo8bobo
12bo3bo15bobo35bob3o4b3obo10bob2o11bobo$5bobo34bo5b2o5bo11bobobobo12b
3o37b2obo6bob2o24b2ob2o$o11bo31b4o2b4o13bo5bo12bobo2bo58bo13bobobo$o
11bo30b2obo4bob2o33b4o34b3obo4bob3o10bob2o$2bo7bo37b2o17bobobobo12bo
39bo3bo4bo3bo11bo12bo3bo$2bob5obo36b4o16b2o3b2o12bobob2o36b2o6b2o12b2o
12bobobo$b2o7b2o33bobo2bobo15bo3bo17bo35bo2b2o4b2o2bo10bob2o11bobo$6bo
37bobob2obobo13bobobobo12bobo37bo2bo6bo2bo24b2ob2o$b2o2b3o2b2o55bo5bo
12bo4bo58bo13bobobo$2b2o5b2o31bo12bo32b4o34bobob2o2b2obobo10bob2o$2bob
2ob2obo31bobobob2obobobo11bobobobo12bobo37bo2b2o4b2o2bo11bo12bo3bo$o2b
o5bo2bo31bobo4bobo13b2o3b2o12b2ob3o35bobo6bobo11b2o12bobobo$o4b3o4bo
30bo3bo2bo3bo13bo3bo17bo35b2o10b2o10bob2o11bobo$3b2obob2o34b2obo2bob2o
13bobobobo12b2o41b3o2b3o27b2ob2o$42bobo8bobo11bo5bo12bobo2bo34b2o3b4o
3b2o10bo13bobobo$42bo2b2o4b2o2bo32b4o36b2o2b2o2b2o12bob2o$3b3ob3o34bob
ob2obobo13bobobobo12bo41bob6obo13bo12bo3bo$2obobobobob2o30b2ob2o2b2ob
2o12b2o3b2o12b6o37b3o2b3o13b2o12bobobo$68bo3bo15bobo37b10o12bob2o11bob
o$5bobo34bob2o6b2obo11bobobobo12b3o40bo2b2o2bo27b2ob2o$6bo35b2o10b2o
11bo5bo12bobo2bo34bo4b4o4bo10bo13bobobo$2o2bobobo2b2o32b8o35b4o34bob4o
2b4obo10bob2o$3b2o3b2o32b2obo6bob2o11bobobobo12bo40b2o8b2o12bo12bo3bo$
2o9b2o30bo2bo4bo2bo12b2o3b2o12bobob2o34b2obobo2bobob2o10b2o12bobobo$
45b3o2b3o15bo3bo17bo35bobo3b2o3bobo10bob2o11bobo$43bobo6bobo12bobobobo
12bobo41b2o2b2o28b2ob2o$5bobo35bo10bo12bo5bo12bo4bo35b2obo4bob2o11bo
13bobobo$5bobo34b2obobo2bobob2o32b4o36b2obo2bob2o12bob2o$2bob2ob2obo
32bobo6bobo12bobobobo12bobo41b2o2b2o15bo12bo3bo$2bo2bobo2bo34bob4obo
14b2o3b2o12b2ob3o34bo2b2o4b2o2bo10b2o12bobobo$3bo5bo33bo3bo2bo3bo13bo
3bo17bo35bobo2bo2bo2bobo10bob2o11bobo$3o7b3o29b3ob2o2b2ob3o11bobobobo
12b2o40b4o2b4o26b2ob2o$2bob5obo34bo6bo14bo5bo12bobo2bo35b2o8b2o11bo13b
obobo$2bo7bo31b3obo4bob3o32b4o38b2o2b2o14bob2o$3bobobobo33bo10bo12bobo
bobo12bo40b2o8b2o12bo12bo3bo$3o2bobo2b3o32b8o14b2o3b2o11b7o38b2o2b2o
14b2o12bobobo$o2b2o3b2o2bo30bobo6bobo13bo3bo15bobo35bob3o4b3obo10bob2o
11bobo$bo3bobo3bo31bo3bo2bo3bo12bobobobo11b3o38b2obo6bob2o24b2ob2o$2ob
3ob3ob2o31b3o4b3o13bo5bo11bo2bo2bo58bo13bobobo$2bo7bo31bobo2b4o2bobo
31b2ob2o34b3obo4bob3o10bob2o8bobo3bobo$2bob5obo31bo4bo2bo4bo11bobobobo
14b3o35bo3bo4bo3bo11bo10bo7bo$b2o3bo3b2o31bo10bo12b3ob3o15bo38b2o6b2o
12b2o9b2ob5ob2o$2bo7bo31b2o10b2o10b2o5b2o13bo37bo2b2o4b2o2bo10bob2o9bo
bobobo$66bo7bo15b2o35bobo6bobo13bo8b2o2bobo2b2o$126b2o10b2o10bo12b2o3b
2o$127b2ob2o2b2ob2o11b2o9b2o2b3o2b2o$126b2o10b2o23bo2bo2bo$126bo12bo
23b2o3b2o!

[praosylen]

The 2c/5 pseudo-wickstretcher can be reduced:

Code: Select all

x = 16, y = 9, rule = B2e3-a/S12-i3-a7
6b4o$3bob2o2b2obo$b3obob2obob3o$bobo3b2o3bobo$o3b3o2b3o3bo$bo2b2ob2ob
2o2bo$4b2o4b2o$7b2o$2b2o8b2o!

[AbhpzTa]

p48:

Code: Select all

x = 14, y = 17, rule = B2e3-a/S12-i3-a7
13bo$13bo3$10bo$6b2o2bo2bo$13bo$5b2o$6b2o2$o$o2bo$3bo3$o$o!