Oscillator Discussion Thread

[2718281828]

a small asymmetric p4 sparker (right the corresponding symmetric version from jslife):

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x = 57, y = 37, rule = B3/S23
3$12bo24bo2$9b2o3b2o18b2o3b2o$9b7o2b2o14b7o$19bo$9bo7b2o15bo5bo$8bobo
5bo13b2obobo3bobob2o$7b2o3b4ob2o11bo4b2ob2o4bo$7b2ob4obobo9b2obob2ob2o
b2ob2obob2o$10bo4bobo9bo2bo2bo7bo2bo2bo$12b3o2b2o9bo2b2o9b2o2bo$11bobo
3bo11b2o4bo3bo4b2o$9bo9bo10bob4o3b4obo$9bo2bobo3b2o10bobo9bobo$7bo2b3o
b2o12b2o2bo2bobobo2bo2b2o$14b2o13bobo3bobobo3bobo$7b2o3b2ob3o10bo2b3o
3bo3b3o2bo$12bo3bobo10b2o2bo2b3o2bo2b2o$8b3obo5bo12b2ob2o3b2ob2o$11bo
6b2o11bo2bo5bo2bo$9bobobo14b2obob2o5b2obob2o$8bo4bobo2b2o8bobob2ob2ob
2ob2obobo$8b3o5bo2bo10bo4bo3bo4bo$11b6obo11b2obobo3bobob2o$8b2o7bo17b
2ob2o$8bob3o2bo13bob2obo5bob2obo$12bo2b2o12b2obobo5bobob2o$33bo7bo!

[2718281828]

Two different p6 hassler of a related spark (and a combination - right), might be known (but is not in jslife):

Code: Select all

code

The reaction in the middle is found three years ago.
The reaction in the left is not known to me.

A similar p6 hassler of a different spark:

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x = 36, y = 52, rule = B3/S23
4$19b2o$13bob2obobo$13b2obobo$18b2o$17b2o$19bo3bo2b2o$19bo2bobo2bo$18b
o2bo2bobo$19bo2bo2bo$13b2o4b3ob2o$13bobo4bo$15bo3b2ob3o2bo$15b2o2b2o3b
4o$18bobobo$13b8ob4o$12bo12bo$13b3ob4ob3o$15b8o4$19bo$19b3o$19b3o2$21b
2o$19bo4bo2$18bo6bo$16b3ob2obob3o$15bo3bo3bo4bo$15b3ob2o2b5o$22bo$13b
4obo5b2o$13bo2b2o7bo$19b3o3bobo$16b6o4b2o$15bo4b3o$14bobo$13bo2bob2o$
13b2o2bo3bo$22b2o$21b2o$22bobob2o$20bobob2obo$20b2o!

[77topaz]

Is this p16 known? It appears in two C4_4 soups from Carybe from October and November, and I don't see it in DRH-oscillators.

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x = 20, y = 20, rule = B3/S23
10b2o3b2o$10b2o3b2o$6bo$2o3b2o$2o2bo10bo$5bo3b2o2b2obo$5bo3bo6b2o2$2o$2o3bo7b
2o$5b2o7bo3b2o$18b2o2$2b2o6bo3bo$3bob2o2b2o3bo$4bo10bo2b2o$13b2o3b2o$13bo$3b
2o3b2o$3b2o3b2o!

[2718281828]

Is this p16 known? It appears in two C4_4 soups from Carybe from October and November, and I don't see it in DRH-oscillators.

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x = 20, y = 20, rule = B3/S23
10b2o3b2o$10b2o3b2o$6bo$2o3b2o$2o2bo10bo$5bo3b2o2b2obo$5bo3bo6b2o2$2o$2o3bo7b
2o$5b2o7bo3b2o$18b2o2$2b2o6bo3bo$3bob2o2b2o3bo$4bo10bo2b2o$13b2o3b2o$13bo$3b
2o3b2o$3b2o3b2o!

Yes, known from the mentioned soup:
viewtopic.php?f=2&t=1452&p=65255&hilit=p16#p65255

[Sokwe]

Is this p16 known? It appears in two C4_4 soups from Carybe from October and November, and I don't see it in DRH-oscillators.

DRH-oscillators is not a good source for what is currently known, as it only includes patterns up through about 1999. You should check jslife and the osc supplementary collection which covers almost everything up through the end of 2014. Most results after 2014 are in this thread, but there are some exceptions. In fact, if you search this thread for "p16" the oscillator you're asking about should be in the last result before your post.

[Entity Valkyrie]

Any p17 oscillator that can eat gliders like this and the reaction does not extend past this?

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x = 3, y = 8, rule = B3/S23
o$obo$2o2$bo$o$o$bo!

THe reason is this, and see if you can find one that can weld with the dot spark shown in gen 73? (attempt to make a p51 gun)

Code: Select all

x = 24, y = 20, rule = B3/S23
7bo$7b3o$10bo$9bo12b2o$9bo3b3o6b2o$14b4o$11bob2ob2o$13bo2bob2o$12b2obo
3b2o$12b2obobobo$16b3o$2o15bo$b2o3bo$2o4bobo$o5b2o2$7bo$6bo$6bo$7bo10b
o!

[Sokwe]

Any p17 oscillator that can eat gliders like this and the reaction does not extend past this?

I don't think so. Here are all of the known p17 oscillators:

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x = 91, y = 25, rule = B3/S23
54bo$53bobo$54bo2b2o$58bo$52b6o18bo11bo$34bo16bo6b3o15b3o7b3o$5bo19bo
7bobo15b3o3bo3bob2o14bo5bo$4bobo17bobo6bobo22bo2bobobo12bo6b2o$4bobo3b
2o12bobo5b2o2b2o13b7obobobobo2bo10bo$b2obob2o3bo9b2obob2o3bo2bobo13bo
6bobobo3bobobo12b2o$2bobo6bob2o7bobo6bob2o2bo12bo2b3o2b2obo3bo2bo13b2o
$o2bobob3obo2bo5bo2bobob3obo3bobo9b2obobo2bo5bo3bo$2obobo4bobo7b2obobo
4bo2b2obo10bobobob2o5b2obobobo15b2o$3bobo2b2o2b2o9bobo2b2o4bo14bo3bo5b
o2bobob2o15b2o$3bobo3bobo11bobo3bobo2bo11bo2bo3bob2o2b3o2bo22bo$4b2obo
bobo12b2obobob3o11bobobo3bobobo6bo15b2o6bo$6bobobo15bobo17bo2bobobobob
7o17bo5bo$6bobo17bo2b3o17bobobo2bo21b3o7b3o$7b2o16b2o4bo18b2obo3bo3b3o
14bo11bo$54b3o6bo$57b6o$56bo$56b2o2bo$59bobo$60bo!

[2718281828]

Any p17 oscillator that can eat gliders like this and the reaction does not extend past this?

Code: Select all

x = 3, y = 8, rule = B3/S23
o$obo$2o2$bo$o$o$bo!

THe reason is this, and see if you can find one that can weld with the dot spark shown in gen 73? (attempt to make a p51 gun)

Code: Select all

x = 24, y = 20, rule = B3/S23
7bo$7b3o$10bo$9bo12b2o$9bo3b3o6b2o$14b4o$11bob2ob2o$13bo2bob2o$12b2obo
3b2o$12b2obobobo$16b3o$2o15bo$b2o3bo$2o4bobo$o5b2o2$7bo$6bo$6bo$7bo10b
o!

Beluchenko's p51 can do the job, but unfortunately, it takes too much space for the 'standard' eater to support the full p51 herschel track:

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x = 67, y = 63, rule = LifeHistory
2$33.2A4.A11.A4.2A$33.2A3.3A9.3A3.2A$37.A3.A7.A3.A$30.2A7.4A5.4A7.2A$
30.2A7.4A5.4A7.2A$38.A3.A5.A3.A$41.2A5.2A$32.A8.2A5.2A8.A$31.A3.A19.A
3.A$30.2A.2A21.2A.2A$31.A.2A21.2A.A$32.3A.2A15.2A.3A$33.5A15.5A6$33.
5A15.5A$32.3A.2A15.2A.3A$31.A.2A21.2A.A$30.2A.2A21.2A.2A$31.A3.A19.A
3.A$32.A8.2A5.2A8.A$41.2A5.2A$38.A3.A5.A3.A$30.2A7.4A5.4A7.2A$30.2A7.
4A5.4A7.2A$10.A26.A3.A7.A3.A6.D$8.3A22.2A3.3A9.3A3.2A3D$7.A25.2A4.A
11.A4.AC$7.2A48.2D4$17.A$17.3A$20.A$19.2A11.2A11.C$32.2A9.3C$23.3A17.
C.C$21.2A20.C$21.2A.A.2A$21.4A2.A$22.A4.A$23.4A$23.2A$7.2A48.2A$7.2A
35.2A11.2A$45.A$42.3A$42.A4$32.2A$32.A$33.3A$35.A!

However, maybe we can find a p3 (or even a different still life) which does the same job.

[Entity Valkyrie]

Any p17 oscillator that can eat gliders like this and the reaction does not extend past this?

Code: Select all

x = 3, y = 8, rule = B3/S23
o$obo$2o2$bo$o$o$bo!

THe reason is this, and see if you can find one that can weld with the dot spark shown in gen 73? (attempt to make a p51 gun)

Code: Select all

x = 24, y = 20, rule = B3/S23
7bo$7b3o$10bo$9bo12b2o$9bo3b3o6b2o$14b4o$11bob2ob2o$13bo2bob2o$12b2obo
3b2o$12b2obobobo$16b3o$2o15bo$b2o3bo$2o4bobo$o5b2o2$7bo$6bo$6bo$7bo10b
o!

Beluchenko's p51 can do the job, but unfortunately, it takes too much space for the 'standard' eater to support the full p51 herschel track:

Code: Select all

x = 67, y = 63, rule = LifeHistory
2$33.2A4.A11.A4.2A$33.2A3.3A9.3A3.2A$37.A3.A7.A3.A$30.2A7.4A5.4A7.2A$
30.2A7.4A5.4A7.2A$38.A3.A5.A3.A$41.2A5.2A$32.A8.2A5.2A8.A$31.A3.A19.A
3.A$30.2A.2A21.2A.2A$31.A.2A21.2A.A$32.3A.2A15.2A.3A$33.5A15.5A6$33.
5A15.5A$32.3A.2A15.2A.3A$31.A.2A21.2A.A$30.2A.2A21.2A.2A$31.A3.A19.A
3.A$32.A8.2A5.2A8.A$41.2A5.2A$38.A3.A5.A3.A$30.2A7.4A5.4A7.2A$30.2A7.
4A5.4A7.2A$10.A26.A3.A7.A3.A6.D$8.3A22.2A3.3A9.3A3.2A3D$7.A25.2A4.A
11.A4.AC$7.2A48.2D4$17.A$17.3A$20.A$19.2A11.2A11.C$32.2A9.3C$23.3A17.
C.C$21.2A20.C$21.2A.A.2A$21.4A2.A$22.A4.A$23.4A$23.2A$7.2A48.2A$7.2A
35.2A11.2A$45.A$42.3A$42.A4$32.2A$32.A$33.3A$35.A!

However, maybe we can find a p3 (or even a different still life) which does the same job.

It is impossible for a p3 to eat a glider using this spark.
If we could find a much smaller p51 that can eat gliders, or a alternate stabilisation of the Honey Thieves to include this block reaction, then it would be enough for a gun.

Like the p52, we also need to weld another oscillator that liberates a glider on. (By the way, the p52 gun is the p13-assisted gun.)

[BlinkerSpawn]

Beluchenko's p51 can do the job, but unfortunately, it takes too much space for the 'standard' eater to support the full p51 herschel track:

Code: Select all

rle

However, maybe we can find a p3 (or even a different still life) which does the same job.

It is impossible for a p3 to eat a glider using this spark.
If we could find a much smaller p51 that can eat gliders, or a alternate stabilisation of the Honey Thieves to include this block reaction, then it would be enough for a gun.

I was under the impression that 2718281828 meant that there could potentially be a p3 that could fit closer to the conduit than the original eater that the p51 gets in the way of.

[2718281828]

I was under the impression that 2718281828 meant that there could potentially be a p3 that could fit closer to the conduit than the original eater that the p51 gets in the way of.

Yes, BlinkerSpawn. That's what I wanted to point out.

[Entity Valkyrie]

I was under the impression that 2718281828 meant that there could potentially be a p3 that could fit closer to the conduit than the original eater that the p51 gets in the way of.

Yes, BlinkerSpawn. That's what I wanted to point out.

But the oscillator must be this to get a glider:

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x = 29, y = 30, rule = B3/S23
o$3o$3bo$2b2o11b2o11bo$15b2o9b3o$26bo$26bo4$bo$bobo$b3o$3bo6$3bo6bobo$
3b3o7bo$6bob2obo3bo$5bo6b2obo$5b2o3b3o4bo$5b2obo3b2obo2bo$4b3obo2bo3bo
b2o$10bo2bob2o$11b2obo3b3o$9bobo2bobobo2bo$9b2o2b2ob2o2b2o!

[Bullet51]

Could it be monomerized?
(P10 sparker)

Code: Select all

x = 29, y = 23, rule = b3/s23
2o17b2o$o4b2o12bo4b2o$b3o2bo13b3o2bo$3bobo16bobo$5b2o17b2o$o2bo3bo11bo
2bo4bo$6o2bo10b6o$6b3o15bo3bo$2b4o15b2o$2bo3bo2b3o9bo5bo$3b3o2bo3bo9b
4o$8bo2b2o$3b3o2bo3bo9b4o$2bo3bo2b3o9bo5bo$2b4o15b2o$6b3o15bo3bo$6o2bo
10b6o$o2bo3bo11bo2bo4bo$5b2o17b2o$3bobo16bobo$b3o2bo13b3o2bo$o4b2o12bo
4b2o$2o17b2o!

[Sokwe]

P10 sparker

Code: Select all

x = 29, y = 23, rule = b3/s23
2o17b2o$o4b2o12bo4b2o$b3o2bo13b3o2bo$3bobo16bobo$5b2o17b2o$o2bo3bo11bo
2bo4bo$6o2bo10b6o$6b3o15bo3bo$2b4o15b2o$2bo3bo2b3o9bo5bo$3b3o2bo3bo9b
4o$8bo2b2o$3b3o2bo3bo9b4o$2bo3bo2b3o9bo5bo$2b4o15b2o$6b3o15bo3bo$6o2bo
10b6o$o2bo3bo11bo2bo4bo$5b2o17b2o$3bobo16bobo$b3o2bo13b3o2bo$o4b2o12bo
4b2o$2o17b2o!

This is great! Here is a stator reduction and a skewed form:

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x = 51, y = 14, rule = B3/S23
6bo7bo21bo$4bo3bo3bo3bo17bo3bo$44bo$3bo5bobo5bo15bo5bo2bo3bo$b3ob2o2bo
bo2b2ob3o11b3ob2o2bo$o4bo3bobo3bo4bo9bo4bo3bobo5bo$b5obobobobob5o11b5o
bobobo2b2ob3o$6b2obobob2o21b2obobo3bo4bo$3b2o5bo5b2o15b2o4bobobob5o$3b
o13bo15bo5bobob2o$5bo9bo19bo4bo5b2o$4b2o9b2o17b2o11bo$45bo$45b2o!

The skewed form gives a bit more room around the spark.

I think this is the first p10 sparker capable of triggering the block-and-pond reaction:

Code: Select all

x = 37, y = 24, rule = B3/S23
6bo$5bobo$5bobo$2b2obob2o19bo$o2bobo4bo16bobo$2o3b3o19bobo$4bo2bo3bo
14b2obob2o$4b2o8b2o8bo4bobo2bo$10bo3b2o11b3o3b2o$4b5o14bo3bo2bo$3bo25b
2o$4b5o5b2o4b2o2bo$10bo2bo2bo2bo2bo3b7o$4b2o7bo2bo2bo2bo10bo$4bo2bo3bo
2b2o4b2o6b5o$2o3b3o18bo$o2bobo4bo20b2o$2b2obob2o11b2o3bo3bo2bo$5bobo
12b2o7b3o3b2o$5bobo18bo4bobo2bo$6bo21b2obob2o$29bobo$29bobo$30bo!

This oscillator can interact with a block in two different ways:

Code: Select all

x = 21, y = 14, rule = B3/S23
7b2o4b2o$7b2o4b2o2$7bo5bo$4b3obo3bob3o$3bobo3bobo3bobo$b3o3bobobobo3b
3o$o4bo3bobo3bo4bo$b5obobobobob5o$6b2obobob2o$3b2o5bo5b2o$3bo13bo$5bo
9bo$4b2o9b2o!

One of these is compatible with Noam Elkies' rotor interaction, giving oscillators of periods 60, 70, and 80:

Code: Select all

x = 110, y = 38, rule = B3/S23
6bo39bo39bo$5bobo37bobo37bobo$5bobo37bobo37bobo$2b2obob2o33b2obob2o33b
2obob2o$o2bobo3bo30bo2bobo3bo30bo2bobo3bo$2o3b5o30b2o3b5o30b2o3b5o$4bo
3bo35bo3bo35bo3bo$4b5o35b5o35b5o$8bo39bo39bo$4b4o36b4o36b4o$3bo39bo39b
o$4b4o36b4o36b4o$b3o4bo3b2o27b3o4bo3b2o27b3o4bo3b2o$bo2b5o3b2o27bo2b5o
3b2o27bo2b5o3b2o$2bobo3bo8b2o23bobo3bo8b2o23bobo3bo8b2o$b2o2b5o8bo22b
2o2b5o8bo22b2o2b5o8bo$3bobo3bo4bobo4b2o20bobo3bo4bobo4b2o20bobo3bo4bob
o4b2o$3bobob2o4bob3o4bo20bobob2o4bob3o4bo20bobob2o4bob3o4bo$4b2obo5bo
6bo23b2obo5bo6bo23b2obo5bo6bo$7bo4b6o2b2o25bo4b6o2b2o25bo4b6o2b2o$7b2o
3bo5bobo2bo23b2o3bo5bobo2bo23b2o3bo5bobo2bo$9bo3b2o2b2o3b2o25bo3b2o2b
2o3b2o25bo3b2o2b2o3b2o$7b2o2bobo5bo27b2o2bobo5bo27b2o2bobo5bo$8bob2o2b
5o29bob2o2b5o3b2o24bob2o2b5o$8bo2bo13bo22bo2bo10bo25bo2bo$9b2o3b2ob2o
4b3o23b2o3b2ob2o5bo24b2o3b2ob2o4b2o3b2o$15bob2o3bo32bob2o4b2o30bob2o4b
3o2b2o$13bo9bo29bo7bo31bo7b2obo$13b2o4bo3bo29b2o4bo3b4o26b2o4bo3bo$19b
o38bo8bo30bo4bo$18bo3bo35bo4bobobo30bo3bo$13b2o3bobobo36bobo3b2o32bo$
13bo2bobobo41b2o$15b2obobobo40b4o$16bobo2b2o36b2o3bo2bo$16bobo39bobo5b
2o$17bo40bo$57b2o!

It is slightly shorter than the heavyweight volcano, so I was able to use it to shave a row off the p260 gun:

Code: Select all

x = 67, y = 56, rule = LifeHistory
5.2A6.B18.B6.2A$4.B2AB4.3B2.2B8.2B2.A2B4.B2AB$5.3B3.11B2.7BA3B3.3B$4.
B.B3.20BA5B3.B.B$.B.6B.14B2A10B.6B.B$2A8B.12BA2BA8B.2B2A4B2A$2AB.2B3A
15B2A11BA2BAB.B2A6.2A$.B2.2B3A11B2A16BABAB2.B8.A2.2A$5.B2AB.10B4A12B.
2BAB12.A.A2.A$5.4B.9BA4BA11B.4B11.2A.ABA.A.2A$3.A2B2AB.10BABABA11B.5B
A10.A.A.A.2A.A$2.A.A2.B3.9B2A3BA9B3.B2.A.A7.A3.3B$2.2A8.10BA11B8.2A6.
A.3A.A.4A$50.A3.B3AB3.A$2.2A8.10BA11B17.3A.3A.3A$2.A.A2.B3.9B2A3BA9B
18.7A$3.A2B2AB.10BABABA11B18.5B$5.4B.9BA4BA11B18.5B$5.B2AB.10B4A14B
18.2B7.2A$.B2.2B3A11B2A17B2.2B8.2B2.3B3.2A2.A$2AB.2B3A15B2A20B2.10B3.
A.A.A$2A8B.12BA2BA32B3.B.A$.B.6B.14B2A9BABA6BA15B.2B$4.B.B3.22B2AB2A
6BA15B.2BAB$5.3B3.11B2.8BA3BA6B2A16BA.A$4.B2AB4.3B2.2B8.2B.3B3A8B7A
10B.A$5.2A6.B15.17BA2B3A8B3.3A$28.17BAB2A2BA8B5.A$11.A15.4B3.11BABA
12B$11.3A12.4B5.10B2AB2A9B$7.2A5.A10.4B7.10B4A8B$7.A5.2A9.4B$4.2A.A.
3B11.4B9.10B4A8B$4.A2.A.2A2B2A7.4B9.10B2AB2A9B$6.2A.A.2B2AB5.4B9.11BA
BA12B$9.A.4B5.4B10.11BAB2A2BA8B5.A$9.2A.4B3.4B3.2A2.A3.12BA2B3A8B3.3A
$12.3BA6B4.A2.A.A.11B7A10B.A$3.2A7.2BABA4B6.2A.A.A10B2A16BA.A$3.A8.3B
A4B8.A.BA2B.8BA15B.2BAB$2A.A.B3.10B9.A2.2B.10BA15B.2B$A2.3AB.2B2A7B7.
A.2A.B3.24B3.B.A$.2A2.BA3B2A7B6.A.A2.A.A3.10B2.10B3.A.A.A$3.4A12B6.A
2.A2.2A3.3B2.2B8.2B2.3B3.2A2.A$3.A.2B3.7B.B2A2.2A.2A9.B18.B8.2A$4.3AB
2.7B.BA.A2.A10.5B14.5B$7.A4.4B5.2A.A4.B5.5B8.B5.3ABA$2.5A5.4B5.A2.2A.
5B2.4B3A5.5B2.B2ABABA$2.A10.4B6.A3.5B2.2A2BA.3A3.AB3A2.ABA2B.3A$4.A9.
4B6.5A4B.A.A.B4.A.ABAB2AB.A.B.A4.A$3.2A10.4B7.A.A2B2A.A.A.2A.2A.2A.2B
ABA.A.A.5A$16.4B8.B.A.A2.2A.A3.A4.A.B.A.A.2A$17.4B6.2A.A.A5.A3.A.4A.A
.A.A4.2A$18.3BA6.A.2A6.2A3.A4.2A2.A.4A.A$19.3BA5.A15.3A3.A.A2.A$20.3A
B3.2A17.2A.2A.2A!

Edit: It gives a much smaller support for the p20 pre-pulsar hassler than the previous p5 solution:

Code: Select all

x = 46, y = 23, rule = B3/S23
22b2o6b2o4bo4bo$23bo2b2o2bo2bobobo2bobo$6bo16bobo2bobob2obobo2bobo$5bo
bo14b2ob2obobo4bobob2ob2o$5bobo13bo8bob2obo8bo$2b2obob2o11b3ob2ob2ob2o
2b2ob2ob2ob3o$o2bobo3bo10b3o2bob2o2bo2bo2b2obo2b3o$2o3bob2o5b3o3b2o8b
2o2b2o8b2o$4bo3bo5bobo4b2o3b2ob2o4b2ob2o3b2o$4b4o6b3o4b3obo14bob3o$7bo
18b2o10b2o$4b4o$3bo22b2o10b2o$4b4o6b3o4b3obo14bob3o$7bo6bobo4b2o3b2ob
2o4b2ob2o3b2o$4b4o6b3o3b2o8b2o2b2o8b2o$4bo3bo11b3o2bob2o2bo2bo2b2obo2b
3o$2o3bob2o11b3ob2ob2ob2o2b2ob2ob2ob3o$o2bobo3bo11bo8bob2obo8bo$2b2obo
b2o13b2ob2obobo4bobob2ob2o$5bobo15bobo2bobob2obobo2bobo$5bobo15bo2b2o
2bo2bobobo2bobo$6bo15b2o6b2o4bo4bo!

[Sphenocorona]

p14 oscillator formed by a known eater chomping on a recovering copy of itself, back and forth:

Code: Select all

x = 18, y = 13, rule = B3/S23
7b2o3b2o$6bobo3bobo$2b2o2bo7bo$2bobob2o5b2ob2o$4bo3bo5bobo$4bob2o3b3o
2bo$2b2o2b2o2bo3b2o$bo2b2o4b2obo$bobo9bo$2obo6b2obobo$3bo7bo2b2o$3bobo
3bobo$4b2o3b2o!

Discussion in the Discord server failed to find existing references to it, so it appears to be new.

[praosylen]

p14 oscillator formed by a known eater chomping on a recovering copy of itself, back and forth:

Code: Select all

x = 18, y = 13, rule = B3/S23
7b2o3b2o$6bobo3bobo$2b2o2bo7bo$2bobob2o5b2ob2o$4bo3bo5bobo$4bob2o3b3o
2bo$2b2o2b2o2bo3b2o$bo2b2o4b2obo$bobo9bo$2obo6b2obobo$3bo7bo2b2o$3bobo
3bobo$4b2o3b2o!

Discussion in the Discord server failed to find existing references to it, so it appears to be new.

Sorry to spoil the fun, but I found it about a year and a half ago.

[Sphenocorona]

Sorry to spoil the fun, but I found it about a year and a half ago.

No worries; the reaction is pretty straightforward and the eater was already known, so I initially figured somebody had found it previously.

[Hunting]

How to find middle-period oscillator(Like p17 or something)? I really wanna know. I can only find absolutely useless and really boring p2 and p3s.

[Entity Valkyrie]

Oscillators of my interest:

Code: Select all

x = 231, y = 2363, rule = B3/S23
67b2o25b2o28b2o26b2o$61bob2obobo19bob2obobo22bob2obobo20bob2obobo$61b
2obobo21b2obobo24b2obobo22b2obobo$66b2o25b2o28b2o26b2o$65b2o25b2o28b2o
26b2o$67bo3bo2b2o18bo3bo2b2o21bo3bo2b2o19bo3bo2b2o$67bo2bobo2bo18bo2bo
bo2bo21bo2bobo2bo19bo2bobo2bo$66bo2bo2bobo18bo2bo2bobo21bo2bo2bobo19bo
2bo2bobo$67bo2bo2bo20bo2bo2bo23bo2bo2bo21bo2bo2bo$61b2o4b3ob2o15b2o4b
3ob2o18b2o4b3ob2o16b2o4b3ob2o$35b2o3b2o3b2o14bobo4bo19bobo4bo22bobo4bo
20bobo4bo$34bo2bobo2bobo2bo15bo3b2ob3o2bo14bo3b2ob3o2bo17bo3b2ob3o2bo
15bo3b2ob3o2bo$34bo2bobo2bobo2bo15b2o2b2o3b4o14b2o2b2o3b4o17b2o2b2o3b
4o15b2o2b2o3b4o$35b2o3b2o3b2o19bobobo22bobobo25bobobo23bobobo$61b8ob4o
14b8ob4o17b8ob4o15b8ob4o$35b2o23bo12bo13bo12bo16bo12bo14bo12bo$34bo2bo
23b3ob4ob3o15b3ob4ob3o18b3ob4ob3o16b3ob4ob3o$34bo2bo25b8o19b8o22b8o20b
8o$35b2o2$35b2o3b2o3b2o$34bo2bobo2bobo2bo18b2o26b2o27b2o27bo$34bo2bobo
2bobo2bo20bo27bo28bo26b3o$35b2o3b2o3b2o19b2o26b2o27b2o27b3o2$35b2o8b2o
20b2o27b2o27b2o27b2o$34bo2bo6bo2bo17bo4bo23bo4bo23bo4bo23bo4bo$34bo2bo
6bo2bo$35b2o8b2o17bo6bo21bo6bo21bo6bo21bo6bo$62b3ob2obob3o17b3ob2obob
3o17b3ob2obob3o17b3ob2obob3o$35b2o3b2o3b2o14bo3bo3bo4bo15bo3bo3bo4bo
15bo3bo3bo4bo15bo3bo3bo4bo$34bo2bobo2bobo2bo13b3ob2o2b5o16b3ob2o2b5o
16b3ob2o2b5o16b3ob2o2b5o$34bo2bobo2bobo2bo20bo28bo28bo28bo$35b2o3b2o3b
2o12b4obo5b2o16b4obo5b2o16b4obo5b2o16b4obo5b2o$59bo2b2o7bo16bo2b2o7bo
16bo2b2o7bo16bo2b2o7bo$65b3o3bobo20b3o3bobo20b3o3bobo20b3o3bobo$62b6o
4b2o17b6o4b2o17b6o4b2o17b6o4b2o$61bo4b3o21bo4b3o21bo4b3o21bo4b3o$60bob
o26bobo26bobo26bobo$59bo2bob2o22bo2bob2o22bo2bob2o22bo2bob2o$59b2o2bo
3bo20b2o2bo3bo20b2o2bo3bo20b2o2bo3bo$68b2o27b2o27b2o27b2o$67b2o27b2o
27b2o27b2o$68bobob2o23bobob2o23bobob2o23bobob2o$66bobob2obo21bobob2obo
21bobob2obo21bobob2obo$66b2o27b2o27b2o27b2o40$59b2o10b2o20b2o$35b2o3b
2o3b2o9b2o2bo10bo2b2o14b2o2bo$34bo2bobo2bobo2bo11bo12bo20bo$34bo2bobo
2bobo2bo11bo12bo20bo8b2o$35b2o3b2o3b2o8bo20bo12bo12bo$59b2o10b2o20b2o
5bobo$35b2o8b2o10b2ob2o8b2ob2o16b2ob2o4b2o$34bo2bo6bo2bo13b2o6b2o24b2o
$34bo2bo6bo2bo13b3o4b3o24b3o$35b2o8b2o14b2o6b2o24b2o$57b2ob2o8b2ob2o
16b2ob2o4b2o$35b2o3b2o3b2o12b2o10b2o20b2o5bobo$34bo2bobo2bobo2bo7bo20b
o12bo12bo$34bo2bobo2bobo2bo11bo12bo20bo8b2o$35b2o3b2o3b2o12bo12bo20bo$
56b2o2bo10bo2b2o14b2o2bo$45b2o12b2o10b2o20b2o$44bo2bo$44bo2bo$45b2o2$
35b2o3b2o3b2o$34bo2bobo2bobo2bo25b2o11b2o$34bo2bobo2bobo2bo24bo2bo11bo
7b2o9b2o$35b2o3b2o3b2o28b2o10bobo3bo4bo4b2o2bo$56b2o17b2o11b2o2bo6bo6b
o$57bo16b3o14bo8bo5bo8b2o$57bobo15b2o14bo8bobo12bo$58b2o2bo2bo4bo2b2o
16bo8bo5b2o5bobo$61bo4bo2bo13b2o3b2o2bo6bo4b2ob2o4b2o$61bo4bo2bo2bo10b
obobobo3bo4bo9b2o$61bo4bo2bo15bobo20b3o$58b2o2bo2bo4bo2b2o8bobobobo3bo
4bo9b2o$57bobo15b2o6b2o3b2o2bo6bo4b2ob2o4b2o$57bo16b3o14bo8bo5b2o5bobo
$56b2o17b2o14bo8bobo12bo$75b2o14bo8bo5bo8b2o$72bo2bo12b2o2bo6bo6bo$73b
2o12bobo3bo4bo4b2o2bo$87bo7b2o9b2o$86b2o20$123b2o4b2o$64bo7bo22bo27b2o
4b2o$18b2o3b2o10b2o3b2o3b2o15bo3bo3bo3bo18bo3bo$17bo2bobo2bo8bo2bobo2b
obo2bo55bo19bo5bo$17bo2bobo2bo8bo2bobo2bobo2bo13bo5bobo5bo16bo5bo2bo3b
o14b3obo3bob3o$18b2o3b2o10b2o3b2o3b2o12b3ob2o2bobo2b2ob3o12b3ob2o2bo
20bobo3bobo3bobo$58bo4bo3bobo3bo4bo10bo4bo3bobo5bo10b3o3bobobobo3b3o$
23b2o10b2o8b2o12b5obobobobob5o12b5obobobo2b2ob3o7bo4bo3bobo3bo4bo$22bo
2bo8bo2bo6bo2bo16b2obobob2o22b2obobo3bo4bo7b5obobobobob5o$22bo2bo8bo2b
o6bo2bo13b2o5bo5b2o16b2o4bobobob5o13b2obobob2o$23b2o10b2o8b2o14bo13bo
16bo5bobob2o15b2o5bo5b2o$62bo11bo18bo5bo5b2o12bo13bo$23b2o10b2o8b2o14b
2o11b2o16b2o12bo13bo11bo$22bo2bo8bo2bo6bo2bo57bo13b2o11b2o$22bo2bo8bo
2bo6bo2bo57b2o$23b2o10b2o8b2o2$23b2o10b2o8b2o$22bo2bo8bo2bo6bo2bo$22bo
2bo8bo2bo6bo2bo$23b2o10b2o8b2o2$18b2o3b2o3b2o5b2o3b2o3b2o$17bo2bobo2bo
bo2bo3bo2bobo2bobo2bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$18b2o3b2o3b2o
5b2o3b2o3b2o3$150b2o5b2o20b2o5b2o$150b2o5b2o20b2o5b2o4$168b2o$150b3o3b
3o7bo4bo7b3o3b3o$150bo7bo6bo6bo6bo7bo$149bo2bo3bo2bo4bo8bo4bo2bo3bo2bo
$148b2ob2o3b2ob2o3bo8bo3b2ob2o3b2ob2o$149bobo5bobo4bo8bo4bobo5bobo$
150bo7bo6bo6bo6bo7bo$166bo4bo$150b2o5b2o9b2o9b2o5b2o$150b2o5b2o20b2o5b
2o$122b2o5b2o35b2o2b2o$122b2o5b2o35b2o2b2o$18b2o3b2o10b2o8b2o103b2o5b
2o20b2o5b2o$17bo2bobo2bo8bo2bo6bo2bo102b2o5b2o9b2o9b2o5b2o$17bo2bobo2b
o8bo2bo6bo2bo16b2o27b2o5b2o64bo4bo$18b2o3b2o10b2o8b2o12b2o2b2obo5b2o
19b2o5b2o9b2o37bo7bo6bo6bo6bo7bo$59b2o3bobo5b2o35bo4bo7b3o3b3o18bobo5b
obo4bo8bo4bobo5bobo$23b2o10b2o8b2o19bo26bo7bo6bo6bo6bo7bo17b2ob2o3b2ob
2o3bo8bo3b2ob2o3b2ob2o$22bo2bo8bo2bo6bo2bo20bo23bobo5bobo4bo8bo4bo2bo
3bo2bo17bo2bo3bo2bo4bo8bo4bo2bo3bo2bo$22bo2bo8bo2bo6bo2bo43b2ob2o3b2ob
2o3bo8bo3b2ob2o3b2ob2o17bo7bo6bo6bo6bo7bo$23b2o10b2o8b2o21bo23bo2bo3bo
2bo4bo8bo4bobo5bobo18b3o3b3o7bo4bo7b3o3b3o$66bo26bo7bo6bo6bo6bo7bo37b
2o$23b2o10b2o3b2o3b2o12b2o3bobo5b2o19b3o3b3o7bo4bo$22bo2bo8bo2bobo2bob
o2bo11b2o2b2obo5b2o37b2o9b2o5b2o$22bo2bo8bo2bobo2bobo2bo16b2o56b2o5b2o
$23b2o10b2o3b2o3b2o103b2o5b2o20b2o5b2o$150b2o5b2o20b2o5b2o$23b2o20b2o
46b2o5b2o$22bo2bo18bo2bo45b2o5b2o$22bo2bo18bo2bo$23b2o20b2o2$18b2o3b2o
3b2o15b2o$17bo2bobo2bobo2bo13bo2bo$17bo2bobo2bobo2bo13bo2bo$18b2o3b2o
3b2o15b2o$132bo$58b2o5b2o20b2o5b2o34b3o$58b2o5b2o9b2o9b2o5b2o33bo$74bo
4bo49b2o$58bo7bo6bo6bo6bo7bo14b2o5b2o20b2o5b2o$57bobo5bobo4bo8bo4bobo
5bobo13b2o5b2o9b2o9b2o5b2o$56b2ob2o3b2ob2o3bo8bo3b2ob2o3b2ob2o28bo4bo$
57bo2bo3bo2bo4bo8bo4bo2bo3bo2bo13bo7bo6bo6bo6bo7bo$58bo7bo6bo6bo6bo7bo
13bobo5bobo4bo8bo4bobo5bobo$58b3o3b3o7bo4bo7b3o3b3o12b2ob2o3b2ob2o3bo
8bo3b2ob2o3b2ob2o$76b2o31bo2bo3bo2bo4bo8bo4bo2bo3bo2bo$110bo7bo6bo6bo
6bo7bo$110b3o3b3o7bo4bo7b3o3b3o$128b2o$58b2o5b2o20b2o5b2o$58b2o5b2o20b
2o5b2o2$110b2o5b2o20b2o5b2o$110b2o5b2o20b2o5b2o19$101b2o$101b2o3$102bo
bo$102b2o2bo$103bo$104b3o3$70b2o5b2o3b2o14b2o5b2o3b2o$68bo4bo3b2o3bo2b
o10bo4bo3b2o3bo2bo$18b2o3b2o10b2o3b2o3b2o26bo27bo$17bo2bobo2bo8bo2bobo
2bobo2bo19bo6bo5bo5bo8bo6bo5bo5bo$17bo2bobo2bo8bo2bobo2bobo2bo19b2o4bo
5bo6bo8b2o4bo5bo6bo$18b2o3b2o10b2o3b2o3b2o26bo2b2o2bo20bo2b2o2bo$70bob
o3b2o3b2ob2o12bobo3b2o3b2ob2o$23b2o10b2o34bo11bo15bo11bo$22bo2bo8bo2bo
29b2o26b2o$22bo2bo8bo2bo29b2o3b2o6b2o13b2o3b2o6b2o$23b2o10b2o35b2o6b2o
3b2o13b2o6b2o3b2o$85b2o26b2o$23b2o10b2o3b2o3b2o23bo11bo15bo11bo$22bo2b
o8bo2bobo2bobo2bo20b2ob2o3b2o3bobo12b2ob2o3b2o3bobo7b2o$22bo2bo8bo2bob
o2bobo2bo25bo2b2o2bo20bo2b2o2bo10b3o$23b2o10b2o3b2o3b2o20bo6bo5bo4b2o
8bo6bo5bo4b2o2bo2bobo$67bo5bo5bo6bo8bo5bo5bo6bo2b2o2b2o$23b2o10b2o8b2o
33bo27bo8b2o$22bo2bo8bo2bo6bo2bo20bo2bo3b2o3bo4bo10bo2bo3b2o3bo4bo$22b
o2bo8bo2bo6bo2bo22b2o3b2o5b2o14b2o3b2o5b2o$23b2o10b2o8b2o2$18b2o3b2o3b
2o5b2o3b2o3b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$17bo2bobo2bobo2bo3bo
2bobo2bobo2bo$18b2o3b2o3b2o5b2o3b2o3b2o28$74bo$18b2o3b2o10b2o3b2o3b2o
23b4obo$17bo2bobo2bo8bo2bobo2bobo2bo22b3obobo$17bo2bobo2bo8bo2bobo2bob
o2bo27bobo$18b2o3b2o10b2o3b2o3b2o29bo$75b2o$23b2o10b2o8b2o28b2o$22bo2b
o8bo2bo6bo2bo27b2o$22bo2bo8bo2bo6bo2bo$23b2o10b2o8b2o$80b2obo$23b2o10b
2o3b2o3b2o29b2o3b3o$22bo2bo8bo2bobo2bobo2bo28b2o4bo$22bo2bo8bo2bobo2bo
bo2bo38bo4b2o$23b2o10b2o3b2o3b2o38b3o3b2o$85bob2o$23b2o10b2o8b2o$22bo
2bo8bo2bo6bo2bo$22bo2bo8bo2bo6bo2bo44b2o$23b2o10b2o8b2o45b2o$92b2o$18b
2o3b2o3b2o5b2o3b2o3b2o45bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo43bobo$17b
o2bobo2bobo2bo3bo2bobo2bobo2bo44bobob3o$18b2o3b2o3b2o5b2o3b2o3b2o46bob
4o$94bo27$73bo39b2o11b2o$72bobo39bo11bo$18b2o3b2o3b2o5b2o3b2o3b2o25bob
o38bo13bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo19bob2obob2o37b2o5bo5b2o$
17bo2bobo2bobo2bo3bo2bobo2bobo2bo19b2obobo4bo38b2obobob2o$18b2o3b2o3b
2o5b2o3b2o3b2o25b3o36b5obobobobob5o$71bo2bo3bo31bo8bobo8bo$28b2o5b2o8b
2o24b2o38b3ob2ob2ob2ob2ob3o$27bo2bo3bo2bo6bo2bo29bo35b2o11b2o$27bo2bo
3bo2bo6bo2bo23b5o61bo$28b2o5b2o8b2o23bo16b2o47bobo$71b5o11b2o7bo39bobo
$18b2o3b2o3b2o5b2o8b2o30bo17bobo37b2obob2obo$17bo2bobo2bobo2bo3bo2bo6b
o2bo23b2o22bobo28b2ob2o2bo4bobob2o$17bo2bobo2bobo2bo3bo2bo6bo2bo23bo2b
o3bo2b2o4b2o5b2obob2obo23b2ob2o5b3o$18b2o3b2o3b2o5b2o8b2o25b3o5bo2bo2b
o2bo2bo4bobob2o29bo3bo2bo$67b2obobo4bo2bo2bo2bo2bo5b3o40b2o$18b2o15b2o
8b2o20bob2obob2o5b2o4b2o2bo3bo2bo34bo$17bo2bo13bo2bo6bo2bo24bobo22b2o
36b5o$17bo2bo13bo2bo6bo2bo24bobo17bo47bo$18b2o15b2o8b2o26bo7b2o11b5o
36b5o$81b2o16bo33bo$18b2o3b2o3b2o5b2o3b2o3b2o47b5o39b2o$17bo2bobo2bobo
2bo3bo2bobo2bobo2bo44bo39bo3bo2bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo49b
2o37b3o$18b2o3b2o3b2o5b2o3b2o3b2o44bo3bo2bo34bo4bobob2o$95b3o37b2obob
2obo$92bo4bobob2o33bobo$94b2obob2obo33bobo$95bobo39bo$95bobo$96bo10$
72bo2bo$72b4o11bo$18b2o3b2o3b2o5b2o3b2o28b2o13b3o6b2o$17bo2bobo2bobo2b
o3bo2bobo2bo23b2obobob2obo7bo5b2o2bo2bo4bobo$17bo2bobo2bobo2bo3bo2bobo
2bo23b2obob3ob2o7b2o4bobobob2o3bob2o$18b2o3b2o3b2o5b2o3b2o27b2o21bobo
6bo$66b3o18b2o2b2obob2o2b2ob4o$28b2o10b2o23bo2bo11b2o6b5obobobo4bo3bo$
27bo2bo8bo2bo22b3o13bobobo2bobob2o2bob2ob2o2bobo$27bo2bo8bo2bo20b2o2bo
7b3o2b2o2b2o2bobo3bobo2bobob4o$28b2o10b2o22bob2o7bobo2b2o6bo8bo$64bobo
8b3o2b2o2b2o2bobo3bobo2bobob4o$18b2o3b2o3b2o10b2o21b2o2bo13bobobo2bobo
b2o2bob2ob2o2bobo$17bo2bobo2bobo2bo8bo2bo23b2o12b2o6b5obobobo4bo3bo$
17bo2bobo2bobo2bo8bo2bo44b2o2b2obob2o2b2ob4o$18b2o3b2o3b2o10b2o33bo16b
obo6bo$74b2ob2o5b2o4bobobob2o3bob2o$18b2o20b2o32b5o5bo5b2o2bo2bo4bobo$
17bo2bo18bo2bo31b2o9b3o6b2o$17bo2bo18bo2bo32bo11bo$18b2o20b2o$73bobo$
18b2o3b2o3b2o5b2o3b2o3b2o27bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$17bo2b
obo2bobo2bo3bo2bobo2bobo2bo$18b2o3b2o3b2o5b2o3b2o3b2o18$18b2o3b2o3b2o
5b2o3b2o3b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$17bo2bobo2bobo2bo3bo2bo
bo2bobo2bo18b2o18b2o$18b2o3b2o3b2o5b2o3b2o3b2o18bo2bo2b2o8b2o2bo2bo$
66b2o2bobo8bobo2b2o$28b2o15b2o21b2o14b2o$27bo2bo13bo2bo20bo16bo$27bo2b
o13bo2bo17b2obo8b3o5bob2o$28b2o15b2o18bo2bob2o5bobob3obo2bo$67b2ob2o5b
3ob3ob2o$18b2o3b2o3b2o5b2o3b2o3b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$
17bo2bobo2bobo2bo3bo2bobo2bobo2bo$18b2o3b2o3b2o5b2o3b2o3b2o20b2ob2o5b
3ob3ob2o$65bo2bob2o5bobob3obo2bo$18b2o15b2o28b2obo8b3o5bob2o$17bo2bo
13bo2bo30bo16bo$17bo2bo13bo2bo30b2o14b2o$18b2o15b2o29b2o2bobo8bobo2b2o
$65bo2bo2b2o8b2o2bo2bo$18b2o3b2o3b2o5b2o3b2o3b2o19b2o18b2o$17bo2bobo2b
obo2bo3bo2bobo2bobo2bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$18b2o3b2o3b2o
5b2o3b2o3b2o18$18b2o3b2o3b2o5b2o3b2o3b2o$17bo2bobo2bobo2bo3bo2bobo2bob
o2bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo67bo12bo$18b2o3b2o3b2o5b2o3b2o3b
2o69bo10bo$113bo2bo10bo2bo$28b2o15b2o66b3o12b3o$27bo2bo13bo2bo64bo18bo
$27bo2bo13bo2bo63bo20bo$28b2o15b2o65bob2o12b2obo$114bob2o8b2obo$18b2o
3b2o3b2o15b2o56bo10bob2o8b2obo$17bo2bobo2bobo2bo13bo2bo55b3o11bo8bo$
17bo2bobo2bobo2bo13bo2bo58bo7bob2o8b2obo$18b2o3b2o3b2o15b2o58b2o7bob2o
8b2obo$112bob2o12b2obo$18b2o25b2o61bo2bo20bo$17bo2bo23bo2bo26bo7bo24bo
bo2bo18bo$17bo2bo23bo2bo23bo13bo17b2o2b2o4b3o12b3o$18b2o25b2o24bo4bo3b
o4bo17b2o8bo2bo10bo2bo$76bo3bo35bo10bo$18b2o3b2o3b2o15b2o23bob2obo5bob
2obo28bo12bo$17bo2bobo2bobo2bo13bo2bo22b2o3b2o3b2o3b2o18b2o$17bo2bobo
2bobo2bo13bo2bo28b5o25b2o$18b2o3b2o3b2o15b2o30b3o25bo$78bo32bobo$112b
2o$112bo2$98b3o$78bo21bo$77b3o19bo19bo$76b5o39bo$70b2o3b2o3b2o3b2o31b
3o$70bob2obo5bob2obo$76bo3bo11bo100b2o$71bo4bo3bo4bo6b2o35b2o5b2o55bo
2bo$71bo13bo5bobo35b2o5bo$74bo7bo42bo8bobo$126b2o6b2o55bo4bo$83bo41b2o
3b2o59bo2b2o$82bobo45bobo58b2o$83b2o3b2o41bo55b2o$79b2o6b2o98b3o6bobo$
78bobo8bo42bo7bo45bo3bo8b2o$78bo5b2o35bobo5bo13bo45b3o2b2o3b2o$77b2o5b
2o35b2o6bo4bo3bo4bo35bo2bo3bo3bo4bobobo22b2o$122bo11bo3bo44bo4b2o6b3o
23bo$128bob2obo5bob2obo33bo4bo4bo8bo3b3o15b2obo$94b3o31b2o3b2o3b2o3b2o
33b2o21bo15bo3bo$94bo39b5o45bo21b2o7bo$95bo19bo19b3o44b3o3bo8bo4bo4bo
6bobo3bo$114bo21bo50b3o6b2o4bo12b2o8b2o$114b3o69bobobo4bo3bo3bo2bo8bo
4bo3bobo$185b2o3b2o2b3o22b2o3bo$102bo82b2o8bo3bo7b2o13b3o$101b2o84bobo
6b3o8bo4bo8bo3b2o$101bobo32bo60b2o12b2o8b4o2bo$109bo25b3o55b2o12bo3bob
o10bob2o$107b2o25b5o51b2o2bo17bo8b2obo$108b2o18b2o3b2o3b2o3b2o44bo4bo
11bo3bo11bobo$86bo12bo28bob2obo5bob2obo60bob2o11bobob2o$87bo10bo35bo3b
o66bo14b2o$84bo2bo10bo2bo8b2o17bo4bo3bo4bo45bo2bo11b2o$84b3o12b3o4b2o
2b2o17bo13bo47b2o$83bo18bo2bobo24bo7bo$82bo20bo2bo$83bob2o12b2obo$85bo
b2o8b2obo7b2o$85bob2o8b2obo7bo$88bo8bo11b3o$85bob2o8b2obo10bo$85bob2o
8b2obo$83bob2o12b2obo$82bo20bo$83bo18bo$84b3o12b3o$84bo2bo10bo2bo$87bo
10bo$86bo12bo17$94b2o$86b2o5bob2o2b2o$86b2o5bobo3b2o$93bo$91bo2$91bo$
93bo$86b2o5bobo3b2o$86b2o5bob2o2b2o$18b2o3b2o3b2o5b2o3b2o3b2o23b2o5b2o
15b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo22b2o5b2o$17bo2bobo2bobo2bo3bo
2bobo2bobo2bo$18b2o3b2o3b2o5b2o3b2o3b2o$70bo7bo$28b2o5b2o8b2o22b3o5b3o
$27bo2bo3bo2bo6bo2bo21bo9bo5b2o5bobo$27bo2bo3bo2bo6bo2bo22b3o3b3o7b2o
5b2o6b2o5b2o$28b2o5b2o8b2o38bo7bo7b2o5b2o$73bobo$18b2o3b2o3b2o5b2o3b2o
3b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$17bo2bobo2bobo2bo3bo2bobo2bobo
2bo56bobo$18b2o3b2o3b2o5b2o3b2o3b2o23b2o5b2o7bo7bo$70b2o5b2o6b2o5b2o7b
3o3b3o$18b2o15b2o8b2o38bobo5b2o5bo9bo$17bo2bo13bo2bo6bo2bo52b3o5b3o$
17bo2bo13bo2bo6bo2bo53bo7bo$18b2o15b2o8b2o2$18b2o3b2o3b2o5b2o3b2o3b2o
54b2o5b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo36b2o15b2o5b2o$17bo2bobo2bo
bo2bo3bo2bobo2bobo2bo31b2o2b2obo5b2o$18b2o3b2o3b2o5b2o3b2o3b2o32b2o3bo
bo5b2o$86bo$88bo2$88bo$86bo$79b2o3bobo5b2o$79b2o2b2obo5b2o$84b2o34$18b
2o3b2o3b2o5b2o3b2o3b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$17bo2bobo2bob
o2bo3bo2bobo2bobo2bo$18b2o3b2o3b2o5b2o3b2o3b2o2$28b2o5b2o8b2o$27bo2bo
3bo2bo6bo2bo$27bo2bo3bo2bo6bo2bo$28b2o5b2o8b2o2$18b2o3b2o3b2o5b2o8b2o$
17bo2bobo2bobo2bo3bo2bo6bo2bo17bo$17bo2bobo2bobo2bo3bo2bo6bo2bo16bobo$
18b2o3b2o3b2o5b2o8b2o17bobo$62b3ob2o$28b2o5b2o8b2o14bo$27bo2bo3bo2bo6b
o2bo14b3ob2o$27bo2bo3bo2bo6bo2bo16bob2o$28b2o5b2o8b2o27b2o$74bobo$18b
2o3b2o3b2o5b2o3b2o3b2o22b2o6bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo17b2ob
o2bo2bo2bo7b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo17b2o2b2o6bo7b2o$18b2o
3b2o3b2o5b2o3b2o3b2o27bobo$74b2o17$84b2o$84b2o2$92b2o$91b2obo$90bo3bo$
90bob2o$86b2o3b2o$85bobo17b2o$85bo18b2o$84b2o20bo3$89bo$87b2o$88b2o$
112b3o$112bo$18b2o3b2o3b2o5b2o3b2o71bo$17bo2bobo2bobo2bo3bo2bobo2bo$
17bo2bobo2bobo2bo3bo2bobo2bo82bo8b2o$18b2o3b2o3b2o5b2o3b2o38bo44b3o6b
2o$80bobo45bo$28b2o10b2o38b2o39bo5b2o$27bo2bo8bo2bo77b2o$27bo2bo8bo2bo
77bobo$28b2o10b2o87b2o$128bo2bo$18b2o3b2o3b2o10b2o86b2ob2o$17bo2bobo2b
obo2bo8bo2bo29bobo54bo2bo$17bo2bobo2bobo2bo8bo2bo29b2o56b2o$18b2o3b2o
3b2o10b2o31bo2$28b2o10b2o$27bo2bo8bo2bo$27bo2bo8bo2bo$28b2o10b2o2$18b
2o3b2o3b2o5b2o3b2o3b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$17bo2bobo2bob
o2bo3bo2bobo2bobo2bo78bo$18b2o3b2o3b2o5b2o3b2o3b2o21b2o56b2o$67bo2bo
54bobo$67b2ob2o$68bo2bo$69b2o$77bobo$78b2o$71b2o5bo39b2o$71bo45bobo$
64b2o6b3o44bo$64b2o8bo2$86bo$87bo$85b3o$110b2o$111b2o$110bo3$93bo20b2o
$94b2o18bo$93b2o17bobo$107b2o3b2o$106b2obo$105bo3bo$105bob2o$106b2o2$
114b2o$114b2o8$66b2o5b2o3b2o$64bo4bo3b2o3bo2bo$69bo$63bo6bo5bo5bo$63b
2o4bo5bo6bo$69bo2b2o2bo$66bobo3b2o3b2ob2o$67bo11bo$18b2o3b2o3b2o5b2o3b
2o3b2o16b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo15b2o3b2o6b2o$17bo2bobo2b
obo2bo3bo2bobo2bobo2bo20b2o6b2o3b2o$18b2o3b2o3b2o5b2o3b2o3b2o34b2o$66b
o11bo$28b2o15b2o17b2ob2o3b2o3bobo$27bo2bo13bo2bo21bo2b2o2bo$27bo2bo13b
o2bo15bo6bo5bo4b2o$28b2o15b2o16bo5bo5bo6bo$76bo$18b2o3b2o3b2o5b2o3b2o
3b2o17bo2bo3b2o3bo4bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo18b2o3b2o5b2o$
17bo2bobo2bobo2bo3bo2bobo2bobo2bo34b2o$18b2o3b2o3b2o5b2o3b2o3b2o34bo2b
o2b2o$81bo2bo2b2o$28b2o5b2o45b2o$27bo2bo3bo2bo$27bo2bo3bo2bo$28b2o5b2o
45b2o$77b2o2bo2bo$18b2o3b2o3b2o5b2o3b2o3b2o30b2o2bo2bo$17bo2bobo2bobo
2bo3bo2bobo2bobo2bo34b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo38b2o5b2o3b
2o$18b2o3b2o3b2o5b2o3b2o3b2o37bo4bo3b2o3bo2bo$89bo$83bo6bo5bo5bo$83b2o
4bo5bo6bo$89bo2b2o2bo$86bobo3b2o3b2ob2o$87bo11bo$83b2o$83b2o3b2o6b2o$
88b2o6b2o3b2o$101b2o$86bo11bo$84b2ob2o3b2o3bobo$89bo2b2o2bo$83bo6bo5bo
4b2o$83bo5bo5bo6bo$96bo$84bo2bo3b2o3bo4bo$86b2o3b2o5b2o18$18b2o3b2o3b
2o5b2o3b2o3b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$17bo2bobo2bobo2bo3bo
2bobo2bobo2bo$18b2o3b2o3b2o5b2o3b2o3b2o2$28b2o15b2o$27bo2bo13bo2bo$27b
o2bo13bo2bo22bo4b2o16bo$28b2o15b2o22bobo4bo15bobo$70bo2bo18bo2bo$18b2o
3b2o3b2o5b2o3b2o3b2o27bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo26bob3o16bo
4bobo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo29b2o14b3o6b2o$18b2o3b2o3b2o5b
2o3b2o3b2o45bobo7b3o$92b2o8bo$28b2o15b2o33b2o14b2o$27bo2bo13bo2bo26bo
4b4o13b2o4bo$27bo2bo13bo2bo24b2o4bo3bo19bo$28b2o15b2o26bobo3b3o5bo13bo
bo$74bo5bo5b3o3b2o7b2o$18b2o3b2o3b2o5b2o3b2o3b2o38bo3bo12bo$17bo2bobo
2bobo2bo3bo2bobo2bobo2bo37b4o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo38b2o$
18b2o3b2o3b2o5b2o3b2o3b2o58bo$105b2o$92b2o10bobo$95bo9bo$92bobo10bo4b
2o$93bo16b2o$88b2o15bo8b2o$89bo13b3o7bobo$86b3o15b2o6b3o$86bo18bobo4bo
2$112bo2bo$113bobo$95b2o17bo$95b2ob2o$99bobo$100bobo$102bo$102b2o30$
153b3o$154b2o$128b2o23b2o15b2o$78b2o49bo24bo15bo$78b2o49bobo18b2o16bob
o14bo$18b2o3b2o3b2o5b2o3b2o3b2o83b2o10bo8bob2o13b2o14bobo$17bo2bobo2bo
bo2bo3bo2bobo2bobo2bo93b2o10bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo31bo
60b2obo9bo30bo$18b2o3b2o3b2o5b2o3b2o3b2o31b3o60bobo19bo20b2o$78bo2bo
60b2o19b2o16b5o$28b2o5b2o42b2o70b2o9bobo16b2ob2o$27bo2bo3bo2bo113bobo
19b2o9bo$27bo2bo3bo2bo103bo9bob2o17b2o$28b2o5b2o42bo61bo10b2o19b2o$78b
obo59b2obo8bo21bo$18b2o3b2o3b2o5b2o3b2o3b2o30bo9bo55b2o18b2o17bo$17bo
2bobo2bobo2bo3bo2bobo2bobo2bo28bo5bo3bobo51bo41b2o$17bo2bobo2bobo2bo3b
o2bobo2bobo2bo16b2o3b2o4bo7bo2bob2o2b2o46b2o41b2o$18b2o3b2o3b2o5b2o3b
2o3b2o17b2o2b2obo2bo7bo4b2o3b2o45b2o19b4o8bo9b2o$69bobo3bo5bo57b3o17bo
4bo6b2ob2o18b2o$28b2o5b2o8b2o23bo9bo77bobo3bo6b5o18bobo$27bo2bo3bo2bo
6bo2bo29bobo77bobo3bo7b2o23bo$27bo2bo3bo2bo6bo2bo30bo78bo14bo23b2o$28b
2o5b2o8b2o110bo$157bo2bo9bobo$18b2o3b2o3b2o5b2o3b2o3b2o30b2o79b2o11bo$
17bo2bobo2bobo2bo3bo2bobo2bobo2bo28bo2bo$17bo2bobo2bobo2bo3bo2bobo2bob
o2bo29b3o$18b2o3b2o3b2o5b2o3b2o3b2o31bo3$78b2o$78b2o25$197b2o6b2o$191b
ob2obobo6bobob2obo$191b2obobo10bobob2o$123bo26bo46bo8bo$122bobo24bobo
44b2o8b2o$122bobo24bobo44b4o4b4o$117bob2obob2o22b2obob2obo42bo4bo$117b
2obobo3bo20bo3bobob2o42b6o$122b5o20b5o$121bo3bo22bo3bo41b2o12b2o$121b
5o22b5o41b2ob2o6b2ob2o$85b2o38bo22bo49b8o$77bo7b2o34b4o24b4o46b6o$18b
2o8b2o5b2o3b2o3b2o29bo2bo13bobo24bo32bo24bo21b4o20bo$17bo2bo6bo2bo3bo
2bobo2bobo2bo27bo3bo11b3ob2o24b4o24b4o24bobo43bobo$17bo2bo6bo2bo3bo2bo
bo2bobo2bo27bo3bo15b3o27bo22bo28bobo43bobo$18b2o8b2o5b2o3b2o3b2o28bo
45b5o22b5o19bob2obob2o41b2obob2obo$80bo40bo3bo11b2o2b2o5bo3bo19b2obobo
3bo39bo3bobob2o$18b2o8b2o5b2o8b2o29bo45b5o6b2o8bo3b5o25b2ob3o32b3o2b3o
b2o$17bo2bo6bo2bo3bo2bo6bo2bo33bo35b2obobo3bo5b2o7b2o4bo3bobob2o19bo2b
ob2o17b3o12bobo2b2obo2bo$17bo2bo6bo2bo3bo2bo6bo2bo29bo3bo7b3o25bob2obo
b2o7b2o13b2obob2obo19b2o2b3o17bobo12b3o2b3o2b2o$18b2o8b2o5b2o8b2o30bo
3bo8b2ob3o26bobo9bo3bo10bobo29bo18b3o18bo$77bo2bo10bobo28bobo13bo10bob
o24b5o41b5o$18b2o3b2o3b2o5b2o8b2o23b2o7bo20b2o21bo7bo5bo4bo7bo24bo51bo
$17bo2bobo2bobo2bo3bo2bo6bo2bo22b2o28b2o28bobo8bobo32b5o41b5o$17bo2bob
o2bobo2bo3bo2bo6bo2bo83bo10bo38bo18b3o18bo$18b2o3b2o3b2o5b2o8b2o129b2o
2b3o2b3o12bobo17b3o2b2o$134b6o36bo2bob2o2bobo12b3o17b2obo2bo$28b2o5b2o
8b2o86bo6bo36b2ob3o2b3o32b3ob2o$27bo2bo3bo2bo6bo2bo124b2obobo3bo39bo3b
obob2o$27bo2bo3bo2bo6bo2bo84b2o6b2o30bob2obob2o41b2obob2obo$28b2o5b2o
8b2o84bo4b2o4bo34bobo43bobo$130b2o10b2o33bobo43bobo$28b2o5b2o3b2o3b2o
83b2o10b2o34bo20b4o21bo$27bo2bo3bo2bobo2bobo2bo83b2o8b2o55b6o$27bo2bo
3bo2bobo2bobo2bo80b2o2bo2bo2bo2bo2b2o51b8o$28b2o5b2o3b2o3b2o83bo4b4o4b
o49b2ob2o6b2ob2o$127bob5o6b5obo46b2o12b2o$127bo5b8o5bo$128b5o2bo2bo2b
5o52b6o$132bo8bo56bo4bo$130bo12bo51b4o4b4o$130b2o10b2o51b2o8b2o$196bo
8bo$190b2obobo10bobob2o$190bob2obobo6bobob2obo$196b2o6b2o22$137bo6bo$
136bo7b2o3b2o$136b2o5bobo3b2o$140bob3o$140b3o2$140b3o$140bob3o$136b2o
5bobo3b2o$87bo15bo32bo7b2o3b2o$87b3o12bob4o29bo6bo$90bo10bobob3o$89b2o
9bobo$101bo$77b2o22b2o$76bo2bo13bo7b2o$76bo15b3o6b2o32bo$18b2o8b2o5b2o
3b2o3b2o29bo15bo42b2o$17bo2bo6bo2bo3bo2bobo2bobo2bo28bobo3bo51bobo$17b
o2bo6bo2bo3bo2bobo2bobo2bo29bobo3bo10bobo17b2o29bobo$18b2o8b2o5b2o3b2o
3b2o31bo4bo11b2o17b2o30b2o$79b4o12bo18b2o30bo$18b2o8b2o15b2o67bo$17bo
2bo6bo2bo13bo2bo65bobo$17bo2bo6bo2bo13bo2bo66bobob3o$18b2o8b2o15b2o39b
3o26bob4o$88bo27bo$18b2o3b2o3b2o5b2o3b2o3b2o35b2o3bo$17bo2bobo2bobo2bo
3bo2bobo2bobo2bo34bo44b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo34b3o20bo
21bobo26bo$18b2o3b2o3b2o5b2o3b2o3b2o59b2o21bo27b2o13b2o$78b2o25b2o20bo
bo26b2o14bo$28b2o5b2o40bobo41b2o4b2o41bobo$27bo2bo3bo2bo39bo14b2o26bob
o20b2o25b2o$27bo2bo3bo2bo38b2o13b2o27bo21b2o$28b2o5b2o56bo26bobo21bo
20b3o$121b2o44bo$28b2o5b2o3b2o3b2o115bo3b2o$27bo2bo3bo2bobo2bobo2bo85b
o27bo$27bo2bo3bo2bobo2bobo2bo81b4obo26b3o$28b2o5b2o3b2o3b2o82b3obobo$
134bobo$135bo$103bo30b2o18bo12b4o$102b2o30b2o17b2o11bo4bo$102bobo29b2o
17bobo10bo3bobo$113bobo51bo3bobo$113b2o42bo15bo$114bo32b2o6b3o15bo$
147b2o7bo13bo2bo$147b2o22b2o$148bo$147bobo9b2o$142b3obobo10bo$105bo6bo
29b4obo12b3o$99b2o3b2o7bo32bo15bo$99b2o3bobo5b2o$105b3obo$107b3o2$107b
3o$105b3obo$99b2o3bobo5b2o$99b2o3b2o7bo$105bo6bo23$133bo$132bobo$132bo
bo$130b3ob2o44b2o$129bo50bobob2obo$130b3ob2o46bobob2o$132bob2o46b2o$
141bo21bo$139bo3bo17bo3bo$144bo21bo18b2o$139bo4bo16bo4bo18b2o$140b5o
17b5o13bo$18b2o8b2o5b2o8b2o131b2o$17bo2bo6bo2bo3bo2bo6bo2bo131b2o$17bo
2bo6bo2bo3bo2bo6bo2bo$18b2o8b2o5b2o8b2o$132bo$18b2o8b2o5b2o8b2o81bo3bo
3b2o7b2o$17bo2bo6bo2bo3bo2bo6bo2bo79bo7bobo7bo$17bo2bo6bo2bo3bo2bo6bo
2bo79b2o2bo3bobo5bobo$18b2o8b2o5b2o8b2o75bo8bo4bo6b2o$97b2o6b2o15b3o$
18b2o3b2o3b2o5b2o3b2o3b2o50b2o6b2o18bo43bo$17bo2bobo2bobo2bo3bo2bobo2b
obo2bo76b2o41b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo91b2o27b2o$18b2o3b2o
3b2o5b2o3b2o3b2o90bo2bobo$135b2o2bobo$28b2o15b2o90bo9b2o$27bo2bo13bo2b
o33b2o29b2o32bobo$27bo2bo13bo2bo32bobo29b2o32bobob2o$28b2o15b2o33bobob
2o61bobobo$81bobobo63bo$28b2o15b2o36bo27b3o34bo2bo$27bo2bo13bo2bo33bo
2bo29bo12b2o4b2o13bo9bo$27bo2bo13bo2bo36bo13b2o4b2o5bo2b2o2b2o6bobo4bo
bo12bo3bo3b2o$28b2o15b2o33bo3bo12bobo4bobo8bo2b2o6bo8bo12bo3bo4b2o$80b
o3bo12bo8bo6b2o2bo8bobo4bobo12bo$84bo12bobo4bobo6b2o2b2o2bo5b2o4b2o13b
o2bo$81bo2bo13b2o4b2o12bo30bo$83bo35b3o25bobobo4bo3b2o$81bobobo61b2obo
bo2bobo3bo$80bobob2o64bobo2b2o3bo$80bobo37b2o28b2o7bo$81b2o37b2o33b5ob
o$108bo46bo4bobo$106b2o2bobo44bo2bobo$108bo2bobo42b2o3bo$110b2o$95b2o
27b2o8b2o$96bo28bo8b2o2b2o$93b3o26b3o13bobo$93bo8bo4bo6b2o6bo17bo$98b
2o2bo3bobo5bobo23bobo$98bo7bobo7bo24b2o$99bo3bo3b2o7b2o$103bo2$147b2o$
146b2o$148bo$111b5o17b5o$110bo4bo16bo4bo16b2o$115bo21bo16b2o$110bo3bo
17bo3bo$112bo21bo$103bob2o44b2o$101b3ob2o44bobob2o$100bo48bobob2obo$
101b3ob2o42b2o$103bobo$103bobo$104bo15$96bo2bo2bo$96b7o2$96b7o$96bo2bo
2bo5$18b2o8b2o5b2o3b2o3b2o$17bo2bo6bo2bo3bo2bobo2bobo2bo49bo2bo$17bo2b
o6bo2bo3bo2bobo2bobo2bo45b2o2bo2bo$18b2o8b2o5b2o3b2o3b2o46b2o2bo2bo7b
2o$108b2o$18b2o8b2o5b2o$17bo2bo6bo2bo3bo2bo78b2ob2o$17bo2bo6bo2bo3bo2b
o70b3o6bobo$18b2o8b2o5b2o80bobo$81b2ob2o30b2ob2o$18b2o3b2o3b2o5b2o3b2o
3b2o35bobo23b3o6bobo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo34bobo6b3o23bobo
$17bo2bobo2bobo2bo3bo2bobo2bobo2bo33b2ob2o30b2ob2o$18b2o3b2o3b2o5b2o3b
2o3b2o35bobo$82bobo6b3o$28b2o15b2o34b2ob2o$27bo2bo13bo2bo$27bo2bo13bo
2bo44b2o$28b2o15b2o45b2o7bo2bo2b2o$101bo2bo2b2o$28b2o5b2o3b2o3b2o54bo
2bo$27bo2bo3bo2bobo2bobo2bo$27bo2bo3bo2bobo2bobo2bo$28b2o5b2o3b2o3b2o
3$99bo2bo2bo$99b7o2$99b7o$99bo2bo2bo18$91b2o$91bo$85b2ob2obo$84bobobob
o$84bo4bo13bo$83b2o16b3o$79b2o8b2o9bo$80bo8b2o9b2o$80bobo5bo$18b2o8b2o
5b2o3b2o3b2o34b2o6b2o$17bo2bo6bo2bo3bo2bobo2bobo2bo22b2o17b2o8b2o$17bo
2bo6bo2bo3bo2bobo2bobo2bo23bo27b2o$18b2o8b2o5b2o3b2o3b2o24bobo$72b2o2b
2o$18b2o8b2o5b2o39b2o$17bo2bo6bo2bo3bo2bo$17bo2bo6bo2bo3bo2bo52bo$18b
2o8b2o5b2o52b3o$88bobobo5b2o3bo9b2o$18b2o3b2o3b2o5b2o3b2o3b2o41bobobo
6bo2bobo8bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo41b3o5bo4bobo9bo$17bo2bob
o2bobo2bo3bo2bobo2bobo2bo18bo23bo6b5obo9b2o$18b2o3b2o3b2o5b2o3b2o3b2o
19b3o13b2o2b2o13bo$69bo5b2o5b6o9b2o3bo19b2o$28b2o5b2o8b2o21bobo5b2o4b
2o2b2o9bobo3bo17bobo$27bo2bo3bo2bo6bo2bo20b2o5b2o21bo3b2o17bo$27bo2bo
3bo2bo6bo2bo72b2o$28b2o5b2o8b2o21b2o44bo$68bo44bo6b2o$28b2o5b2o3b2o3b
2o22b3o31bo2bo6bo2bobo2bo$27bo2bo3bo2bobo2bobo2bo23bo30b2o2b2o5b2o5bo$
27bo2bo3bo2bobo2bobo2bo26b2o23b2o2bo2bo14b3o$28b2o5b2o3b2o3b2o28bo21bo
2bo22bo$72b3o23b2o$72bo5$112b2o$112b2o2b2o$116bobo$118bo$118b2o25$95bo
$18b2o8b2o5b2o3b2o3b2o46b3o8b2o$17bo2bo6bo2bo3bo2bobo2bobo2bo35b2o7bo
11b2o$17bo2bo6bo2bo3bo2bobo2bobo2bo36bo7b2o$18b2o8b2o5b2o3b2o3b2o37bob
o15b6o$85b2o14bo6bo$18b2o8b2o5b2o8b2o32b2o21b2o3b2o$17bo2bo6bo2bo3bo2b
o6bo2bo30bobo23bo$17bo2bo6bo2bo3bo2bo6bo2bo30bobob2o$18b2o8b2o5b2o8b2o
32bobobo19b3o$81bo21b3o2bo$18b2o3b2o3b2o5b2o3b2o3b2o33b2o21b3obobo$17b
o2bobo2bobo2bo3bo2bobo2bobo2bo31b3o21b3o2bo$17bo2bobo2bobo2bo3bo2bobo
2bobo2bo28bo2b3o8b3o10b3o$18b2o3b2o3b2o5b2o3b2o3b2o28bobob3o8bo12b2o$
76bo2b3o8b3o10bo$28b2o5b2o8b2o32b3o19bobobo$27bo2bo3bo2bo6bo2bo53b2obo
bo$27bo2bo3bo2bo6bo2bo32bo23bobo$28b2o5b2o8b2o29b2o3b2o21b2o$76bo6bo
14b2o$28b2o5b2o3b2o3b2o30b6o15bobo$27bo2bo3bo2bobo2bobo2bo43b2o7bo$27b
o2bo3bo2bobo2bobo2bo31b2o11bo7b2o$28b2o5b2o3b2o3b2o32b2o8b3o$89bo27$
107b2o6b2o$101bob2obobo6bobob2obo$101b2obobo10bobob2o$107bo8bo$106b2o
8b2o$106b4o4b4o$109bo4bo$109b6o2$104b2o12b2o$104b2ob2o6b2ob2o$108b8o$
76bo32b6o$75bobo32b4o$75bobo68bo$70bob2obob2o66bobo$18b2o3b2o3b2o5b2o
3b2o3b2o23b2obobo3bo34bo30bobo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo27b2ob
3o33bo29b2obob2obo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo26bo2bob2o33bo7b3o
18bo3bobob2o$18b2o3b2o3b2o5b2o3b2o3b2o27b2o2b3o41bobo12b3o2b3ob2o$79bo
30b3o3b3o3b3o12bobo2b2obo2bo$18b2o15b2o8b2o27b5o58b3o2b3o2b2o$17bo2bo
13bo2bo6bo2bo25bo34bo5bo28bo$17bo2bo13bo2bo6bo2bo26b5o29bo5bo29b5o$18b
2o15b2o8b2o32bo28bo5bo34bo$74b2o2b3o2b3o58b5o$18b2o3b2o3b2o5b2o8b2o27b
o2bob2o2bobo12b3o3b3o3b3o30bo$17bo2bobo2bobo2bo3bo2bo6bo2bo27b2ob3o2b
3o12bobo41b3o2b2o$17bo2bobo2bobo2bo3bo2bo6bo2bo22b2obobo3bo18b3o7bo33b
2obo2bo$18b2o3b2o3b2o5b2o8b2o23bob2obob2o29bo33b3ob2o$75bobo30bo34bo3b
obob2o$28b2o5b2o8b2o28bobo66b2obob2obo$27bo2bo3bo2bo6bo2bo28bo68bobo$
27bo2bo3bo2bo6bo2bo61b4o32bobo$28b2o5b2o8b2o61b6o32bo$107b8o$18b2o3b2o
3b2o5b2o3b2o3b2o56b2ob2o6b2ob2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo55b2o
12b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$18b2o3b2o3b2o5b2o3b2o3b2o61b6o
$108bo4bo$105b4o4b4o$105b2o8b2o$106bo8bo$100b2obobo10bobob2o$100bob2ob
obo6bobob2obo$106b2o6b2o21$80bo5bo$78b2ob2ob2ob2o$72bo3bobobo5bobobo3b
o$71bo3bob2o9b2obo3bo$71bo5bo11bo5bo$72bo4b2o9b2o4bo$68b2o4b2o15b2o4b
2o$18b2o3b2o3b2o5b2o3b2o25bo2bo5b3o9b3o5bo2bo$17bo2bobo2bobo2bo3bo2bob
o2bo33b3o2bo3bo2b3o$17bo2bobo2bobo2bo3bo2bobo2bo28bo9bo3bo9bo$18b2o3b
2o3b2o5b2o3b2o26bo2bo9bo3bo9bo2bo$67bo4b2o4b2o7b2o4b2o4bo$18b2o20b2o
26b3ob2o5bo7bo5b2ob3o$17bo2bo18bo2bo23b3obob2o2bo4bo3bo4bo2b2obob3o$
17bo2bo18bo2bo23bo9b2o2b2o3b2o2b2o9bo$18b2o20b2o23bobo11bo7bo11bobo$
66bo6b3o2b2o7b2o2b3o6bo$18b2o3b2o3b2o10b2o24bo33bo$17bo2bobo2bobo2bo8b
o2bo$17bo2bobo2bobo2bo8bo2bo23bo33bo$18b2o3b2o3b2o10b2o24bo6b3o2b2o7b
2o2b3o6bo$65bobo11bo7bo11bobo$28b2o10b2o24bo9b2o2b2o3b2o2b2o9bo$27bo2b
o8bo2bo23b3obob2o2bo4bo3bo4bo2b2obob3o$27bo2bo8bo2bo25b3ob2o5bo7bo5b2o
b3o$28b2o10b2o25bo4b2o4b2o7b2o4b2o4bo$68bo2bo9bo3bo9bo2bo$18b2o3b2o3b
2o5b2o3b2o3b2o24bo9bo3bo9bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo28b3o2bo
3bo2b3o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo19bo2bo5b3o9b3o5bo2bo$18b2o3b
2o3b2o5b2o3b2o3b2o21b2o4b2o15b2o4b2o$72bo4b2o9b2o4bo$71bo5bo11bo5bo$
71bo3bob2o9b2obo3bo$72bo3bobobo5bobobo3bo$78b2ob2ob2ob2o$80bo5bo8b2obo
2bo$95b2ob4o2$95b5o$94bo5bo$95b2o2b2o$93bobobo$92bobo2b4o$92bo2b2o3bo$
91b2o4b2o$97bo$98bo$97b2o11$18b2o3b2o3b2o5b2o3b2o3b2o$17bo2bobo2bobo2b
o3bo2bobo2bobo2bo37b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo36bo2bo$18b2o
3b2o3b2o5b2o3b2o3b2o36bobobo$83bo2bo$18b2o25b2o35bo$17bo2bo23bo2bo27b
2o6bobo$17bo2bo23bo2bo26b3o$18b2o25b2o26bob2o$72bobo5bo4b2ob2o$18b2o3b
2o3b2o5b2o3b2o3b2o25bo2bo4b2o2b3ob2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo
25b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo32b2o$18b2o3b2o3b2o5b2o3b2o3b2o
33bo$88b2o$28b2o5b2o51b2o$27bo2bo3bo2bo57b2o$27bo2bo3bo2bo42b2ob2o3b2o
4bo2bo$28b2o5b2o43b2ob2o3b2o3bobobo$92b3obo$18b2o3b2o3b2o5b2o3b2o3b2o
45b3o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo30bo$17bo2bobo2bobo2bo3bo2bobo
2bobo2bo29bob2o$18b2o3b2o3b2o5b2o3b2o3b2o34bo$77bo2bobo$79bo2bo$80b2o
31$18b2o3b2o3b2o5b2o3b2o3b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$17bo2bo
bo2bobo2bo3bo2bobo2bobo2bo$18b2o3b2o3b2o5b2o3b2o3b2o$71b2o5b2o22b2o5b
2o$18b2o15b2o34b2o5b2o4b2o16b2o5b2o$17bo2bo13bo2bo46b2o$17bo2bo13bo2bo
$18b2o15b2o65bo7bo$74bobo17bo6b3o5b3o$18b2o3b2o3b2o5b2o3b2o3b2o46b2o6b
o9bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo23b3o3b3o12b2o4bo3b3o3b3o$17bo2b
obo2bobo2bo3bo2bobo2bobo2bo22bo9bo12b2o4bo$18b2o3b2o3b2o5b2o3b2o3b2o
23b3o5b3o24bobo$71bo7bo$28b2o5b2o8b2o$27bo2bo3bo2bo6bo2bo47bobo$27bo2b
o3bo2bo6bo2bo23b2o5b2o16b2o4b2o5b2o$28b2o5b2o8b2o24b2o5b2o22b2o5b2o2$
18b2o3b2o3b2o5b2o3b2o3b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$17bo2bobo
2bobo2bo3bo2bobo2bobo2bo$18b2o3b2o3b2o5b2o3b2o3b2o28$65b2o12b2o$63bo2b
o12b2o2$80bo$63b2obo12bobo88b2o11b2o$65bobo2b2o2b2o2bo2bo89bo11bo$66bo
4bo2b2obo92bo13bo$67bo10b2o90b2o5bo5b2o$67bo2bo102b2obobob2o$168b5obob
obobob5o$167bo6bobobobo6bo$73bo94b3obob3ob3obob3o$72b3o33bo7b2o7b2o43b
ob2o7b2obo$18b2o3b2o3b2o5b2o3b2o3b2o25bob2o28b2obob2obo5bo6b2o44bo11bo
$17bo2bobo2bobo2bo3bo2bobo2bobo2bo56b2obo3bobobo$17bo2bobo2bobo2bo3bo
2bobo2bobo2bo59bo4bo3b2o5b4o$18b2o3b2o3b2o5b2o3b2o3b2o24bo35b2o14bo3bo
$71bo54bo$18b2o15b2o8b2o67bo11bo$17bo2bo13bo2bo6bo2bo65b3o9bo30b2o5b2o
11bo$17bo2bo13bo2bo6bo2bo76bobo29b2o5b2o9b3o$18b2o15b2o8b2o78bo48bobo$
104b3o53b2o12bo$18b2o3b2o3b2o5b2o8b2o58b3o52b2o$17bo2bobo2bobo2bo3bo2b
o6bo2bo76b3o$17bo2bobo2bobo2bo3bo2bo6bo2bo65b3o9b3o$18b2o3b2o3b2o5b2o
8b2o59bo7bo$105bobo75b2o$18b2o8b2o5b2o8b2o59bo63bo12b2o$17bo2bo6bo2bo
3bo2bo6bo2bo33bo23bo62bobo$17bo2bo6bo2bo3bo2bo6bo2bo33bo23bo62b3o9b2o
5b2o$18b2o8b2o5b2o8b2o57bo3bo14b2o43bo11b2o5b2o$105b4o5b2o3bo4bo$18b2o
3b2o3b2o5b2o3b2o3b2o30b2obo35bobobo3bob2o$17bo2bobo2bobo2bo3bo2bobo2bo
bo2bo30b3o24b2o6bo5bob2obob2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo31bo25b
2o7b2o7bo$18b2o3b2o3b2o5b2o3b2o3b2o$171b2o9b2o$82bo2bo84bob4o3b4obo$
73b2o10bo82b3obobobobobobob3o$75bob2o2bo4bo80bo4bobobobobobo4bo$71bo2b
o2b2o2b2o2bobo80b5obobobobob5o$71bobo12bob2o83b2obobob2o$72bo97b2o5bo
5b2o$170bo13bo$72b2o12bo2bo81bo11bo$72b2o12b2o82b2o11b2o30$82b2o5b2o3b
2o$80bo4bo3b2o3bo2bo$85bo$79bo6bo5bo5bo$79b2o4bo5bo6bo$85bo2b2o2bo$82b
obo3b2o3b2ob2o$83bo11bo$79b2o$79b2o3b2o6b2o$84b2o6b2o3b2o$97b2o$18b2o
3b2o3b2o5b2o8b2o35bo11bo$17bo2bobo2bobo2bo3bo2bo6bo2bo32b2ob2o3b2o3bob
o$17bo2bobo2bobo2bo3bo2bo6bo2bo37bo2b2o2bo$18b2o3b2o3b2o5b2o8b2o32bo6b
o5bo4b2o$79bo5bo5bo6bo$18b2o15b2o8b2o45bo$17bo2bo13bo2bo6bo2bo32bo2bo
3b2o3bo4bo$17bo2bo13bo2bo6bo2bo34b2o3b2o5b2o$18b2o15b2o8b2o$93bo5bo$
18b2o3b2o3b2o5b2o3b2o3b2o45b3o3bobo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo
43b5o3bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo39bob3o3b2o5bo$18b2o3b2o3b2o
5b2o3b2o3b2o40bo2b2o3b3o4bo$87bob3o3b2o5bo$18b2o8b2o15b2o44b5o3bo$17bo
2bo6bo2bo13bo2bo44b3o3bobo$17bo2bo6bo2bo13bo2bo45bo5bo$18b2o8b2o15b2o$
94b2o5b2o3b2o$18b2o3b2o3b2o15b2o45bo4bo3b2o3bo2bo$17bo2bobo2bobo2bo13b
o2bo49bo$17bo2bobo2bobo2bo13bo2bo43bo6bo5bo5bo$18b2o3b2o3b2o15b2o44b2o
4bo5bo6bo$97bo2b2o2bo$94bobo3b2o3b2ob2o$95bo11bo$91b2o$91b2o3b2o6b2o$
96b2o6b2o3b2o$109b2o$94bo11bo$92b2ob2o3b2o3bobo$97bo2b2o2bo$91bo6bo5bo
4b2o$91bo5bo5bo6bo$104bo$92bo2bo3b2o3bo4bo$94b2o3b2o5b2o24$182bo$181b
2o$180bob2o$153b4o22b3o2bo$152bo4bo23bobobo$152bo3bobo23bobobo$153bo3b
obo6b2o15bo2b3o$159bo5bobo16b2obo$159bo5bo19b2o$156bo2bo5b3o17bo$157b
2o2$157b2o$156bo2bo5b3o17bo$159bo5bo19b2o$159bo5bobo16b2obo$153bo3bobo
6b2o15bo2b3o$152bo3bobo23bobobo$137bo9bo4bo4bo23bobobo$137b2o7b2o5b4o
22b3o2bo$96b2o38b2obo5bob2o31bob2o$97bo37bo2b3o3b3o2bo31b2o5b2o11b2o$
97bobo34bobobo7bobobo31bo4bo2bo9bo2bo$98b2o33bobobo9bobobo35bo15bo$
103b3o25b3o2bo11bo2b3o33bo15bo$103bobo26bob2o13b2obo22bo11bobo3bo3bo3b
obo$103bo29b2o15b2o24b2o10bobo3bobo3bobo$104bo29bo15bo24b2o12bo4bobo4b
o$190b4o3b4o$157bo$101bo55b2o$18b2o3b2o3b2o5b2o3b2o3b2o55bo53bobo$17bo
2bobo2bobo2bo3bo2bobo2bobo2bo52bobo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo
52b3o$18b2o3b2o3b2o5b2o3b2o3b2o59b2o83b3o3b3o$106bobo81bo2bo3bo2bo$28b
2o15b2o61bo81b2obo3bob2o$27bo2bo13bo2bo60b2o$27bo2bo13bo2bo39b3o$28b2o
15b2o44bo45b2obo3bob2o$88bo3bo44bo2bo3bo2bo$28b2o5b2o3b2o3b2o40bo3b2o
45b3o3b3o$27bo2bo3bo2bobo2bobo2bo39bo5bo$27bo2bo3bo2bobo2bobo2bo39bo3b
2o$28b2o5b2o3b2o3b2o42bob2o86bobo$99b2o78b2o$28b2o5b2o62b2o79bo$27bo2b
o3bo2bo99b4o3b4o$27bo2bo3bo2bo98bo4bobo4bo12b2o24bo15bo$28b2o5b2o47bob
o10b2o36bobo3bobo3bobo10b2o24b2o15b2o$83bo13bobob2o31bobo3bo3bo3bobo
11bo22bob2o13b2obo$28b2o5b2o3b2o3b2o31b2o2bo4bo7bobob2obo31bo15bo33b3o
2bo11bo2b3o$27bo2bo3bo2bobo2bobo2bo30b2obo2bob2o7b2o37bo15bo35bobobo9b
obobo$27bo2bo3bo2bobo2bobo2bo34b2o50bo2bo9bo2bo4bo31bobobo7bobobo$28b
2o5b2o3b2o3b2o88b2o11b2o5b2o31bo2b3o3b3o2bo$154b2obo31b2obo5bob2o$153b
o2b3o22b4o5b2o7b2o$152bobobo23bo4bo4bo9bo$151bobobo23bobo3bo$149b3o2bo
15b2o6bobo3bo$150bob2o16bobo5bo$151b2o19bo5bo$152bo17b3o5bo2bo$179b2o
2$179b2o$152bo17b3o5bo2bo$151b2o19bo5bo$150bob2o16bobo5bo$149b3o2bo15b
2o6bobo3bo$151bobobo23bobo3bo$152bobobo23bo4bo$153bo2b3o22b4o$154b2obo
$155b2o$155bo31$18b2o3b2o3b2o5b2o3b2o3b2o$17bo2bobo2bobo2bo3bo2bobo2bo
bo2bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$18b2o3b2o3b2o5b2o3b2o3b2o83b2o
$81b2o15b2o25b2o3b2o15b2o$18b2o8b2o5b2o8b2o29b2o3b2o10b2o3b2o22b3obo
15b2o3b2o$17bo2bo6bo2bo3bo2bo6bo2bo25b3obo12b3obo24b2obobobo12b3obo$
17bo2bo6bo2bo3bo2bo6bo2bo22b2obobobo9b2obobobo24bo2bobobo9b2obobobo$
18b2o8b2o5b2o8b2o23bo2bobobo9bo2bobobo23b2o2bobob2o3b2o3bo2bobobo$69b
2o2bobob2o3b2o2b2o2bobob2o22b3obo2b3o2bo4b2o2bobob2o$18b2o3b2o3b2o5b2o
8b2o22b3obo2b3o2bo4b3obo2b3o23b3o2bob3o4bob3obo2b3o$17bo2bobo2bobo2bo
3bo2bo6bo2bo22b3o2bob3o4bo2b3o2bob3o22b2obobo2b2o2b2o3b3o2bob3o$17bo2b
obo2bobo2bo3bo2bo6bo2bo22b2obobo2b2o2b2o3b2obobo2b2o23bobobo2bo8b2obob
o2b2o$18b2o3b2o3b2o5b2o8b2o24bobobo2bo9bobobo2bo24bobobob2o9bobobo2bo$
71bobobob2o9bobobob2o24bob3o12bobobob2o$18b2o8b2o5b2o8b2o24bob3o12bob
3o22b2o3b2o15bob3o$17bo2bo6bo2bo3bo2bo6bo2bo18b2o3b2o10b2o3b2o25b2o15b
2o3b2o$17bo2bo6bo2bo3bo2bo6bo2bo18b2o15b2o47b2o$18b2o8b2o5b2o8b2o2$18b
2o3b2o3b2o5b2o3b2o3b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$17bo2bobo2bob
o2bo3bo2bobo2bobo2bo$18b2o3b2o3b2o5b2o3b2o3b2o22$86b2o4b2o4b2o$85bo2bo
bo4bobo2bo$85b3o10b3o$88b2o6b2o$87bo2b6o2bo$87b2o8b2o4$18b2o3b2o3b2o5b
2o3b2o3b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo22bo12bo32bo$17bo2bobo2bob
o2bo3bo2bobo2bobo2bo20b2obo12bo30bob2o$18b2o3b2o3b2o5b2o3b2o3b2o20bo
14b2o35bo$66bobo2bo10bobo30bo2bobo$18b2o8b2o5b2o8b2o19bo2bo47bo2bo$17b
o2bo6bo2bo3bo2bo6bo2bo19b2o6b3o5bobo32b2o$17bo2bo6bo2bo3bo2bo6bo2bo27b
o2bo5bo$18b2o8b2o5b2o8b2o29b2o6bo7b3o$91bo3bo$18b2o3b2o3b2o5b2o3b2o3b
2o44b2ob2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo$17bo2bobo2bobo2bo3bo2bobo
2bobo2bo$18b2o3b2o3b2o5b2o3b2o3b2o2$18b2o8b2o5b2o8b2o44b2ob2o$17bo2bo
6bo2bo3bo2bo6bo2bo43bo3bo$17bo2bo6bo2bo3bo2bo6bo2bo28b2o6bo7b3o$18b2o
8b2o5b2o8b2o28bo2bo5bo$67b2o6b3o5bobo32b2o$18b2o3b2o3b2o5b2o3b2o3b2o
19bo2bo47bo2bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo18bobo2bo10bobo30bo2bo
bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo19bo14b2o35bo$18b2o3b2o3b2o5b2o3b
2o3b2o21b2obo12bo30bob2o$70bo12bo32bo5$87b2o8b2o$87bo2b6o2bo$88b2o6b2o
$85b3o10b3o$85bo2bobo4bobo2bo$86b2o4b2o4b2o11$102bo$101bobo$101bobo$
100b2obob2obo$99bo3bobob2o$99bob3o$104bo$99b2ob3o$100bo$101b4o$105bo$
18b2o3b2o3b2o5b2o3b2o3b2o52b6o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo50bo$
17bo2bobo2bobo2bo3bo2bobo2bobo2bo23bobo2bobo18b2ob3o$18b2o3b2o3b2o5b2o
3b2o3b2o20b2obo2bo2bo2bob2o19bo$71bobo2bobo18bob3o$18b2o8b2o5b2o8b2o
50bo3bobob2o$17bo2bo6bo2bo3bo2bo6bo2bo43b2o5b2obob2obo$17bo2bo6bo2bo3b
o2bo6bo2bo42bobo6bobo$18b2o8b2o5b2o8b2o42b2o8bobo$90b2o8bo$18b2o3b2o3b
2o5b2o8b2o$17bo2bobo2bobo2bo3bo2bo6bo2bo$17bo2bobo2bobo2bo3bo2bo6bo2bo
$18b2o3b2o3b2o5b2o8b2o2$28b2o5b2o8b2o43b2o$27bo2bo3bo2bo6bo2bo41b2o$
27bo2bo3bo2bo6bo2bo42bobo$28b2o5b2o8b2o44b2o5b2o$72bo6bo18b2o$18b2o3b
2o3b2o5b2o3b2o3b2o27bo2bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo26bo2bo$17b
o2bobo2bobo2bo3bo2bobo2bobo2bo26bo2bo$18b2o3b2o3b2o5b2o3b2o3b2o25bo6bo
$98bo$98bo$97bobo$72b8o16b2ob2o$72bob4obo15bo5bo$72b8o18bo$95b2o3b2o3$
97bo$97bo$96bo3$98b2o$98b2o10$149bo$96b2o10b2o39b3o$96bo12bo42bo$98bo
8bo43b2o$94b5o2bo2bo2b5o$93bo5b8o5bo$18b2o3b2o3b2o5b2o3b2o3b2o46bob5o
6b5obo39b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo48bo4b4o4bo42b2o$17bo2bob
o2bobo2bo3bo2bobo2bobo2bo46b2o2bo2bo2bo2bo2b2o30b2o$18b2o3b2o3b2o5b2o
3b2o3b2o50b2o8b2o34bo$96b2o10b2o33bobo$18b2o8b2o15b2o21b2o26b2o10b2o
34b2o2b2o$17bo2bo6bo2bo13bo2bo19bobo27bo4b2o4bo39b2o$17bo2bo6bo2bo13bo
2bo20bo29b2o6b2o$18b2o8b2o15b2o$99bo6bo$18b2o3b2o3b2o5b2o3b2o3b2o18b2o
9b2o2bo4b2o2b2o9b6o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo17b2o9bob2o6b2ob
2o95b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo29bo6bobo99bo$18b2o3b2o3b2o5b
2o3b2o3b2o30b3o4b2o21bo30bo48bo$106bob2o28b3o7b2o10bobo23b2o$28b2o5b2o
40b3o4b2o24bo30bo6bobo10b2o$27bo2bo3bo2bo39bo6bobo19bo2bobo28bobo7bo
10bo33b2o$27bo2bo3bo2bo27b2o9bob2o6b2o20bo2bo28b2o6bobo43bobo$28b2o5b
2o28b2o9b2o2bo4b2o22b2o37b2o44bo$140b2o51b2o$18b2o3b2o3b2o5b2o3b2o3b2o
93bo44b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo20bo69bobo43bobo6b2o$17bo2b
obo2bobo2bo3bo2bobo2bobo2bo19bobo68b2o44bo7bobo$18b2o3b2o3b2o5b2o3b2o
3b2o21bobo113bobo6bo$70bo76b2o36b2o7b3o$70b2o21b3o3b3o6b2o37bo48bo$92b
o3bobo3bo5bo39bo$91bo3b2ob2o3bo5b3o35b2o$91bob2o5b2obo7bo$93bo7bo2$
107b2o$106bobo76b2o$106bo78b2o2b2o$85b2ob2o15b2o82bobo$83bo2bobobo13bo
86bo$83b2obo2bo15b2o84b2o$86bo6b2o5b2o4bo74b2o$86b2o5b2o5b2o4bobo72b2o
$84b2o2bobo16b2o$83bo2bo2b2o$84b2o96b2o$182bo$183b3o$185bo16$145b2o$
144bobo$104b2o32b2o4bo$103bobo30bo2bo2b2ob4o$97b2o4bo32b2obobobobo2bo$
95bo2bo2b2ob4o31bobobobo$95b2obobobobo2bo31bobob2o$98bobobobo35bo$98bo
bob2o$99bo53b2o$144b2o7bo$112b2o30b2o5bobo$103b2o7bo38b2o$103b2o5bobo$
110b2o25bo$136bo$136b3o2$18b2o3b2o3b2o5b2o8b2o48bo17bo7b2o$17bo2bobo2b
obo2bo3bo2bo6bo2bo45b2o18b3o5b2o18b2o$17bo2bobo2bobo2bo3bo2bo6bo2bo46b
2o20bo25bo19b2o$18b2o3b2o3b2o5b2o8b2o53b2o13b2o22b3o20bo$76bo24bo37bo
24bo$18b2o8b2o5b2o8b2o29b3o19b3o43b2o14b5o$17bo2bo6bo2bo3bo2bo6bo2bo
31bo18bo18bo27bo13bo$17bo2bo6bo2bo3bo2bo6bo2bo30b2o36bob2o25bobo12b3o$
18b2o8b2o5b2o8b2o69bo2bo26b2o15bo$117b3o4bo35b4o$18b2o3b2o3b2o5b2o3b2o
3b2o23b2o50bo2bo24b2o3b2o3bo3b2o$17bo2bobo2bobo2bo3bo2bobo2bobo2bo22bo
36b3o13b2o24bobo3b2o4b3o2bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo19b2obo
36b3o41bo11bob2o$18b2o3b2o3b2o5b2o3b2o3b2o20bo2b3o4b2o29bo54bo$68b2o3b
o3b2o29bo53b2o$28b2o15b2o23b4o33b3o$27bo2bo13bo2bo22bo15b2o19b3o$27bo
2bo13bo2bo23b3o12bobo65b2o$28b2o15b2o27bo13bo46bo18bo$69b5o14b2o43b3o
19b3o$18b2o3b2o3b2o15b2o22bo24bo37bo24bo$17bo2bobo2bobo2bo13bo2bo23bo
20b3o22b2o13b2o$17bo2bobo2bobo2bo13bo2bo22b2o19bo25bo10bo$18b2o3b2o3b
2o15b2o37bobo4b2o18b2o5b3o8bo$85b2o24b2o7bo6b3o$85bo3$122b2o$121bobo5b
2o$81b2o38bo7b2o$80bobo5b2o30b2o$80bo7b2o$79b2o53bo$130b2obobo$93bo35b
obobobo$89b2obobo31bo2bobobobob2o$88bobobobo31b4ob2o2bo2bo$85bo2bobobo
bob2o32bo4b2o$85b4ob2o2bo2bo30bobo$89bo4b2o32b2o$87bobo$87b2o24$81b2o$
81b2obo15bo$85bo13bobo$77bo4bo11bo$76bobo4bob2o5b3o4bo7b2o$18b2o3b2o3b
2o5b2o3b2o3b2o38b2o4bo7b2o6bobo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo30bo
12b2o3b5o3b2obobo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo29b2o17b2ob2o3bobob
o$18b2o3b2o3b2o5b2o3b2o3b2o30b5o17bo6bo$70b2o5b2ob2o22bo2bo$18b2o8b2o
5b2o32bobo6bo28bo$17bo2bo6bo2bo3bo2bo31bobob2o28bo3bo$17bo2bo6bo2bo3bo
2bo32bobobo12b3o8bobo2bo3bo$18b2o8b2o5b2o35bo14bobo8bo2bo5bo$71bo2bo3b
obo6b3o8bobo3bo2bo$18b2o3b2o3b2o5b2o3b2o3b2o24bo5bo2bo25bo$17bo2bobo2b
obo2bo3bo2bobo2bobo2bo23bo3bo2bobo23bobobo$17bo2bobo2bobo2bo3bo2bobo2b
obo2bo23bo3bo28b2obobo$18b2o3b2o3b2o5b2o3b2o3b2o24bo28bo6bobo$71bo2bo
22b2ob2o5b2o$28b2o5b2o8b2o25bo6bo17b5o$27bo2bo3bo2bo6bo2bo22bobobo3b2o
b2o17b2o$27bo2bo3bo2bo6bo2bo21bobob2o3b5o3b2o12bo$28b2o5b2o8b2o22bobo
6b2o7bo4b2o$70b2o7bo4b3o5b2obo4bobo$18b2o3b2o3b2o5b2o3b2o3b2o37bo11bo
4bo$17bo2bobo2bobo2bo3bo2bobo2bobo2bo29bobo13bo$17bo2bobo2bobo2bo3bo2b
obo2bobo2bo30bo15bob2o$18b2o3b2o3b2o5b2o3b2o3b2o49b2o15$82b2o11b2o$83b
o11bo$82bo13bo$82b2o5bo5b2o$85b2obobob2o$80b5obobobobob5o$79bo6bobobob
o6bo$80b3obob3ob3obob3o$82bob2o7b2obo$83bo11bo4$93bo$93bo$93bo$b2o3b2o
10b2o3b2o3b2o5b2o3b2o3b2o65bo$o2bobo2bo8bo2bobo2bobo2bo3bo2bobo2bobo2b
o41b3o3b3o13bobo$o2bobo2bo8bo2bobo2bobo2bo3bo2bobo2bobo2bo63bobo$b2o3b
2o10b2o3b2o3b2o5b2o3b2o3b2o22bo23bo16b2obob2obo$68bobo22bo15bo3bobob2o
$6b2o10b2o8b2o5b2o8b2o21bobo22bo14b3ob2o$5bo2bo8bo2bo6bo2bo3bo2bo6bo2b
o15bob2obob2o36b2obo2bo$5bo2bo8bo2bo6bo2bo3bo2bo6bo2bo15b2obobo3bo35b
3o2b2o$6b2o10b2o8b2o5b2o8b2o21b2ob3o2b3o30bo$67bo2bob2o2bobo12b3o16b5o
$6b2o10b2o8b2o5b2o8b2o20b2o2b3o2b3o12bobo21bo$5bo2bo8bo2bo6bo2bo3bo2bo
6bo2bo24bo18b3o6b3o7b5o$5bo2bo8bo2bo6bo2bo3bo2bo6bo2bo19b5o37bo$6b2o
10b2o8b2o5b2o8b2o19bo31bo5bo3b3o2b2o$67b5o26bo5bo3b2obo2bo$6b2o10b2o8b
2o5b2o8b2o25bo25bo5bo3b3ob2o$5bo2bo8bo2bo6bo2bo3bo2bo6bo2bo19b2o2b3o
35bo3bobob2o$5bo2bo8bo2bo6bo2bo3bo2bo6bo2bo19bo2bob2o26b3o7b2obob2obo$
6b2o10b2o8b2o5b2o8b2o21b2ob3o14bo22bobo$63b2obobo3bo15bo22bobo$b2o3b2o
3b2o5b2o3b2o3b2o5b2o3b2o3b2o16bob2obob2o16bo23bo$o2bobo2bobo2bo3bo2bob
o2bobo2bo3bo2bobo2bobo2bo20bobo$o2bobo2bobo2bo3bo2bobo2bobo2bo3bo2bobo
2bobo2bo20bobo13b3o3b3o$b2o3b2o3b2o5b2o3b2o3b2o5b2o3b2o3b2o22bo$88bo$
88bo$88bo4$86bo11bo$85bob2o7b2obo$83b3obob3ob3obob3o$82bo6bobobobo6bo$
83b5obobobobob5o$88b2obobob2o$85b2o5bo5b2o$85bo13bo$86bo11bo$85b2o11b
2o27$93bo$92bobo$90bo2bobo$89bob2o2b3o$85b2o2bo3b2o3bo$85b2o3b3o2b3o$
93bobo$92bobo$93bo3$b2o3b2o10b2o3b2o3b2o5b2o8b2o56b2o$o2bobo2bo8bo2bob
o2bobo2bo3bo2bo6bo2bo55b2o$o2bobo2bo8bo2bobo2bobo2bo3bo2bo6bo2bo27b2o$
b2o3b2o10b2o3b2o3b2o5b2o8b2o28b2o14b3o7b6o$91bobo6bo3bo2bo$6b2o20b2o5b
2o8b2o26b6o11bo2bo7b2o3b2o$5bo2bo18bo2bo3bo2bo6bo2bo24bo6bo10bobo9bo$
5bo2bo18bo2bo3bo2bo6bo2bo24b2o2b3o11b3o9bobo$6b2o20b2o5b2o8b2o48bo6bob
o$76bo17bo6bo5bo$6b2o10b2o3b2o3b2o5b2o3b2o3b2o29bo2bo15b2o4bo4bobo$5bo
2bo8bo2bobo2bobo2bo3bo2bobo2bobo2bo24bo3bo19bo4bo5bo$5bo2bo8bo2bobo2bo
bo2bo3bo2bobo2bobo2bo23bobo2bo2bo22bobo$6b2o10b2o3b2o3b2o5b2o3b2o3b2o
25bo3bo25bobo$76bo2bo22bo$6b2o10b2o25b2o29bo24b2o3b2o$5bo2bo8bo2bo23bo
2bo52bo3bo2bo$5bo2bo8bo2bo23bo2bo24b2o2b3o22b6o$6b2o10b2o25b2o25bo6bo$
73b6o24b2o$b2o3b2o3b2o5b2o3b2o3b2o15b2o56b2o$o2bobo2bobo2bo3bo2bobo2bo
bo2bo13bo2bo27b2o$o2bobo2bobo2bo3bo2bobo2bobo2bo13bo2bo27b2o$b2o3b2o3b
2o5b2o3b2o3b2o15b2o2$86bo$85bobo$84bobo$82b3o2b3o3b2o$81bo3b2o3bo2b2o$
82b3o2b2obo$84bobo2bo$85bobo$86bo!

[77topaz]

You put the p31 sign too close to the oscillator; the sign interferes with and breaks the oscillator.

[mniemiec]

Oscillators of my interest: ...

Also, the P40 and P46 lines contain isolated eaters that are never used.

[Entity Valkyrie]

Fixed.

EDIT: I suddenly found that the P50 was P40.
Also fixed.

[Rhombic]

Here's a p6 180deg reflector based on this idea (slightly different spark) used in a p84 glider loop.

Nice! Removing one of the blocks gives a fairly strong glider --> LoM converter:

Code: Select all

x = 37, y = 17, rule = B3/S23
bo$obo6b2o3b2o$bo8bo4bo2b2o$10bob3o3bo4b2o3b2o4bo$7b2obobo6bo3bobobo2b
o2bobo$7bobo8b2o5bob3o3bo2bo$2o22b2o4b3obobo$2o9b2o4bo6bob3o3bob2o$6bo
3b2obo3b2o2b3obo4b3o$5bob2obo2b2o4bobo4b3o3bob2o$5bob2o10bo2b4o4b3obob
o$3o10bob2o2bobo3bob3o3bo2bo$o10bo2bobo2bobob2o2bo2bo2bobo$bo9b3o2b4ob
obo3bobo4bo$14b2o4bo2bo4bo$13bo3bo2bobo$13b2ob2o3bo!

Can we get anything out of this with sparkers or catalysts? The minimum possible period of the resulting glider shuttle is 60, so a new gun period seems unlikely.

Did you try any other sparker periods? It looks like p5 should work.

Sorry for a bit of a necro-post, but as far as I can tell, this inserted LoM works with the 5c/9 signal injector?
I currently have no access to Golly to check, unfortunately.

[dvgrn]

...as far as I can tell, this inserted LoM works with the 5c/9 signal injector?
I currently have no access to Golly to check, unfortunately.

Not sure, but it doesn't look too hopeful to me:

Code: Select all

x = 178, y = 52, rule = LifeHistory
115.2A$108.A6.A$107.A.A7.A$106.A2.3A4.2A$106.A.A3.A2.A2.2A$10.2A93.2A
.A.2A.A2.A.A$3.A6.A94.A2.A2.A.4A.A$2.A.A7.A93.A2.A.A6.A.2A$.A2.3A4.2A
94.2A2.A.4A.A.A2.2A$.A.A3.A2.A2.2A96.A.A3.A2.A3.A$2A.A.2A.A2.A.A93.4A
2.A.A4.A.A$A2.A2.A.4A.A93.A3.3A.5A.A.4A$.A2.A.A6.A.2A93.A3.A6.A.A3.A$
2.2A2.A.4A.A.A2.2A88.A2.2A2.2A.4A4.2A$6.A.A3.A2.A3.A88.2A.A4.A.B3.A2.
A2.2A$2.4A2.A.A4.A.A93.A2.A.A.4A.A2.A.A$2.A3.3A.5A.A.4A89.A.A.2A.A2.A
.4A.A$5.A3.A6.A.A3.A89.2A5.2BA2B4.A.2A$3.A2.2A2.2A.4A4.2A91.6A.A.4A.A
.A$3.2A.A4.A.B3.A2.A2.2A89.A6.ABA.B.AB.A$6.A2.A.A.4A.A2.A.A93.4A2.A.A
.B2.A.2A$6.A.A.2A.A2.A.4A.A93.A3.3A.5A.A2.A$7.2A5.2BA2B4.A.2A93.A3.A
2.B.B.A.2A$9.6A.A.4A.A.A92.A2.2A2.2AB4A$9.A6.ABA.B.AB.A92.2A.A4.A.A3.
3A$12.4A2.A.A.B2.A.2A92.A2.A.A.AB2A2.A$12.A3.3A.5A.A2.A91.A.A.2A.A2.A
B9.A$15.A3.A2.B.B.A.2A88.2A.A.A4.A.AB9.A.A6.2A3.2A$13.A2.2A2.2AB4A91.
A2.A.A.2A.A.2A4B5.BAB7.A4.A2.2A$13.2A.A4.A.A3.3A89.2A3.A.A.A2.A5B4.2B
8.A.3A3.A4.2A3.2A4.A$16.A2.A.A.AB2A2.A96.A.2A2.11B5.2A.A.A6.A3.A.A.A
2.A2.A.A$16.A.A.2A.A2.AB9.A24.A63.A5.11B5.A.A8.2A5.A.3A3.A2.A$13.2A.A
.A4.A.AB8.3A23.A.A6.2A3.2A47.A.A4.10B2A2B4.B.2B.B4.B5.2A4.3A.A.A$13.A
2.A.A.2A.A.2A4B3.A25.2BAB7.A4.A2.2A43.2A4.11B2A2B3.4B2A2B.BAB3.2BA.3A
B2.A.2A$14.2A3.A.A.A2.A5B2.2A25.2B8.A.3A3.A4.2A3.2A4.A35.14B2.A3B2A.A
3B2A.B3ABAB2.B3AB$21.A.2A2.9B24.3B5.2A.A.A6.A3.A.A.A2.A2.A.A34.2B3D
10BA.2ABA2B2AB.2BA.AB3.3AB2.A.2A$21.A5.7B25.4B5.A.A8.2A5.A.3A3.A2.A
33.2BDBD9B.AB2A10BA2B4A4.3A.A.A$19.A.A4.9B24.2B2A2B4.B.2B.B4.B5.2A4.
3A.A.A34.BD2BD4B3C2B2.2B2.2BAB2A2BABA3.A.3A3.A2.A$19.2A4.10B22.B.2B2A
2B3.4B2A2B.BAB3.2BA.3AB2.A.2A35.2BDBD4BC2B7.BA2.ABA2.A.A.2A2.A2.A2.A.
A$26.11B17.11B2.C3B2A.A3B2A.B3ABAB2.B3AB37.2B3D5BCB8.3A2.4A.A.A3.A.A
4.A$26.2B3D6B16.3D10BCB2CBA2B2AB.2BA.AB3.3AB2.A.2A36.10B12.2A4.A2.A4.
A$26.2BDBD5B2.B14.DBD9B.CB2C10BA2B4A4.3A.A.A35.5B.4B11.A3.A2.A.A$25.
3BD2BD6B2A13.D2BD4B3C2B2.2B2.2BAB2A2BABA3.A.3A3.A2.A42.4B10.2A.2A3.A$
24.3C2BDBD6B2A14.DBD4BC2B7.BA2.ABA2.A.A.2A2.A2.A2.A.A44.4B$23.3BC2B3D
7B15.3D5BCB8.3A2.4A.A.A3.A.A4.A46.4B$22.3BC2.7B2C2B20.4B12.2A4.A2.A4.
A$21.4B3.5B.2C2B21.4B11.A3.A2.A.A$20.4B6.B.B2.BC2B21.4B10.2A.2A3.A$
20.3B6.3B4.4B21.4B$29.B2AB4.4B21.4B$30.2A6.3B$39.B!

The 2c/3 signal insertion happens all right, but there's a leftover spark from the insertion that is going to need a lot of attention to keep it from colliding with the 180-degree reflector mechanism.

There's certainly some room to the south to affect the other half of the LOM, and maybe bounce something back to suppress that spark. But I don't think you can really say it "works" until someone finds an improbable workable catalyst.

[BlinkerSpawn]

...as far as I can tell, this inserted LoM works with the 5c/9 signal injector?
I currently have no access to Golly to check, unfortunately.

Not sure, but it doesn't look too hopeful to me:

I wouldn't worry too much, unless you're looking for a reasonable period:

Code: Select all

x = 73, y = 72, rule = LifeHistory
10.2A$3.A6.A$2.A.A7.A$.A2.3A4.2A$.A.A3.A2.A2.2A$2A.AB2A.A2.A.A$A2.A2.
A.4A.A$.A2.ABA2B4.A.2A$2.2AB.A.4A.A.A2.2A$6.ABA.B.AB.A3.A$2.4A2.A.A.B
2.A.A$2.A3.3A.5A.A.4A$5.A3.A2.B.B.A.A3.A$3.A2.2A2.2AB4A4.2A$3.2A.A4.A
.A3.A2.A2.2A$6.A2.A.A.AB2A.A2.A.A$6.A.A.2A.A2.A.4A.A$7.2A5.ABA2B4.A.
2A$9.5AB.A.4A.A.A$9.A6.ABA.B.AB.A$12.4A2.A.A.B2.A.2A$12.A3.3A.5A.A2.A
$15.A3.A2.B.B.A.2A$13.A2.2A2.2AB4A$13.2A.A4.A.A3.3A$16.A2.A.A.AB2A2.A
$16.A.A.2A.A2.AB9.A$13.2A.A.A4.A.AB9.A.A6.2A3.2A$13.A2.A.A.2A.A.2A4B
4.2BAB7.A4.A2.2A$14.2A3.A.A.A2.A6B3.2B8.A.3A3.A4.2A3.2A4.A$21.A.2A2.
11B5.2A.A.A6.A3.A.A.A2.A2.A.A$21.A5.11B5.A.A8.2A5.A.3A3.A2.A$19.A.A4.
10B2A2B4.B.2A.B4.B5.BA4.3A.A.A$19.2A4.11B2A2B3.2B5AB.3B3.A2B.AB2A2.A.
2A$24.16B2.3A3B.BA2BAB.A2B3AB2.2A2BA$23.5B3D16BA3BA.A2B.2B3.AB2A2.A.
2A$24.4BDBD9B.2B5A4B2A3BAB3A4.3A.A.A$26.2BD2BD9B2.BA2.2BA2B2A3BA3.A.
3A3.A2.A$26.3BDBD8B6.BA2.A2B2.B.A.2A2.A2.A2.A.A$26.3B3D9B6.3A2.4A.A.A
3.A.A4.A$27.15B8.2A4.A2.A4.A$27.11B.4B6.A3.A2.A.A$28.11B.4B5.2A.2A3.A
$28.5B3.4B.4B$27.3B7.4B.4B$26.4B8.4B.4B$24.8B7.4B.4B$24.8A8.4B.B3C$
20.A2.A.A.2A.A.A8.4B.C2B$20.4A.2B2.2B.3A7.4B.C$25.AB2ABA4.A7.4B$22.4A
4B4A.A8.4B$22.A2.2B2.2B2.A.2A8.4B$23.5A4BA4.A8.4B$20.3A2.4B.A.A.3A10.
4B$20.A2.A3B.AB.A2.A13.3B$21.A.A2.BA.A.A.A15.2B$22.A3.3AB.A.2A$26.4B.
A$26.3BA.A$25.B5A$21.2A.B4A$21.A2.A.BA$22.3AB3.A2.2A$26.A3BA2.A$22.3A
.A3B.2A$21.A2.A2B3A.A$21.2A6.A.A$23.8A$23.A2.A$28.A$27.2A!