Rules with interesting dynamics

For discussion of other cellular automata.
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LaundryPizza03
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Re: Rules with interesting dynamics

Post by LaundryPizza03 » August 20th, 2019, 2:13 am

This rule is almost certainly immortal — that is, there are no finite patterns that vanish. (I have checked all configurations up to 50*50.) Although many immortal rules, like B3/S0123 and rules with B1c, have no spaceships, this one does. And it's much smaller than the ones in the semitotalistic rules with B345/S013.

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x = 64, y = 64, rule = B2c3ajr/S012cek3aejr4aikrtz5inqry6ai
b2obobob2obo2b5o2bo5b5ob3o3bo2b2obo2bob2obob2o3b3o$3bobo2b3ob4o3bob2ob
obo2b8obo5b5o2bobo3b4ob2o$2bob2o2bo4bobo3b2ob2o7bo2b2ob3ob3o2b4o2b3o2b
2o3b2o$3bo3bobo4b2o2b2ob2o2b2o2bo2bo8b2obo2bo2b2o4b4ob2o$b2ob3obob3ob
2ob2ob5ob2ob3o4bo2b2ob3o2b2obob3ob2o2b4o$o2b3o2bo2bo2bo2b4ob2o2bobob2o
bobo3bobob2obob2o2b5obob3o$bo2bo4b3o3bobo4b3o3b2o3bo4b5ob2o2bo2bob2obo
3bo2bo$4obo5b5o2b3o2bo2bo2bo2b2o3bobo4b2o2b4o2b3ob3o$2ob7o4b2o2bo2bobo
3b2ob5obob2o5b2ob5obo2bo3b3o$2o3bob6obo2bo2b7obob2ob2obobob4obo6bo2bob
ob3obo$o2b4ob3ob2ob2ob2ob2o4b4obob2o2bob2o2bob3o10bo2bo$b4obobo2b4obob
2obobobo2bobo2b3obo2bo6b4obo5b2o$2bo7bo3bo2bo3b3o2b3o4bobobob2o7b2o2bo
2b3o2b3o$2obobo2bo3bo3b3obob3o2bo4bobo3b2o4b2o4bo2b3o3b2obo$5obo2b2o2b
obobo5bo2bobo2bo3b4o3bo3bobobob2ob2obob2o$b6o4bob3obo2bob2ob2obobo3b2o
bo4b2o7bob2o2b2o$2obo4b3obo2bob4obo3bo3bob2o2bo2bo4b3obob7ob2o2bo$2bo
4bobob3o3b5obob2o3bo3bobo2bo3bobo3b4o2bo6b2o$obo2b2o3b3obob4o3bo2b4o3b
2o2b2o4bo6b2ob2o2bob3o$3o2b2obo4b2ob2o2b2obo3b2obob2o2bob2obob2o5b2ob
3o2bo2bobo$6b4obo3bo2b2obob2o4b2obob3o2b2o3bob2o4b2o2b2o3bobo$bob2obo
3bobo2bo5b2obo7bo2bo2b5obo3b3obobo3b3o$2ob4o2bo3bo3bobobo3bob4ob2ob3o
3bo3b2obob3o7bob2o$5bo2bo4bo5b2o2bobo2bo2b3obob4o2bob2o3b3o2b4o3b2o$5b
o3bobob2ob3obo2b6ob2ob2o4b2o5bo2bo2bo7bo$obo3bo2b2o2b4obo3bobo4b2o2b2o
2bob2obob3ob6ob2o2b4o$5b4ob2o2bob3ob2o2bo2bob2obo6bobob2obobo4b5o2b4o$
2b2ob2o2bob2ob2obob4obo2b4obo2bobob4o3bobo3bo2bob2obo2bo$3ob3o3bo3bobo
6b2ob3obob4obobob4o2bo2b4ob2obo2bo$2b3ob2o4b2o3b2obob2o6b3obo2bo2b2ob
2obo2b2o2b7obobo$2bo2bob2obob2obob2o3b2obo4b3ob2o2bo2b2o2b3o2b2o3bo2b
2obobo$2b4o2b2obobo3bob6o5b2ob3obo4bo4b2obobo4b2o2bobo$o4b3obobob6o3b
2o2bo2b2o5bob2o4bo4bob7ob4o$b2o2bob7ob2obob2ob3o2b2obobo3b4obo2b2o2b2o
bob2ob7o$o5bo2bob2o3b3o2bo3b5ob2ob2ob2o3bo4bo2b3o2bo3bob2o$bo2bobo6bob
3ob5ob3obo2b3o2b2o2b2o3bo2b2o2bo2bo2b2o$obobo3bobobob5o2bob3ob4obobob
2o2bo2b4obo2b9ob2o$3bo4b3ob5ob2o3b3ob8obob3obob2ob2o2b2ob3ob5o$bo2b2ob
o2bo3bo2b2o3bo2b3ob4ob7o3bobo4b2obo2bob3obo$4o7bobob2o2b2o3bob2o2bo2b
3ob2o5bobob3o4b2o3bo2bo$5o4b2ob4o10bobob2ob2o3b2obo2b7ob2ob5ob2o$2bo3b
obob2o3bobo2bob3o4bo3b3o4b2obo4bo5b2o6bo$3b4o2bo3b3obobo6bobo4bobo2bob
ob7obo2bob3obo2b2o$2b3ob5ob3o2b2o2bob3o2b3o2bo2bo4b6o6b6o3bo$5bob6obob
obo3bo2bobo2b3obo3bob2ob2ob2obo2b4obob4o$2ob2obobo3b2obob2o7b2ob3ob2ob
o2bo2b2o2b3o4b2o5bobo$obo3b2ob4o2bob2o2b2ob3obobob4o4b5o8b3obob5o$2bo
3bo3b2ob3o2bo4bob3obo2bobobob2o2b2o2b5obobobob2o2b2o$o3bo4bob2ob2obo2b
3o3b3obo2b4ob3o3b3obobo2b2obob3o$o2bob2ob2o2b2o4b2ob2o3bob2ob2o2bo2bo
2bo5b2obobob2obo4b2o$6o2bo2bobobo3bo2b3o2bob4ob2obo3b7obo2bob2obob2o2b
o$bobobob2o3bobobo2bob4obob2ob3o5b2o2b2o3b3ob2ob5o$2bobo3b7o2bobob3o2b
3ob2o2b2ob2o4bob5o3bob3o3bobo$bobobobo2b3o3b3o5bo3b2obo2b7ob3ob4o3b6ob
2obo$o2b2o3bobo2b4o7b3o5b3obo2bo2b4o2bo4b3ob7o$o5bobobob2obo2bob2ob2ob
o2b2o8b2ob2o3bobo5b2o3b4o$bob2ob3obob2ob3obo2b3ob2o2b5obobo5bob4obo3bo
3bobobo$o3b4obobob2o3b3o4bob2o2bob3obob2obob4o2bob2obo2b2ob3o$o4b2obob
2obo6bo2bo2b2ob2ob4o6bob2o4bobo3b4o2bo$3b3o2b3o3bo3bo8b2ob2o3bob2ob4ob
4ob4o2bo2bo3bo$bobobo5b6ob3o2b2o3bob2o7b3obo2b4o3bo4bobo$2o3bo3b2ob7o
3b3o2b2obobo3bobob3obob2obob2o5b3obo$obob2o3b2obo4b2o2bob4o2bo4bob2o3b
4ob2obo2bo3bo2b2ob2o$bo4b3o2b2obobob2obo4bo2bo2b3obo2bob2ob3o4b2obo2b
4obo!
Correspondingly, B2c3ajr/S2ain3-aejr4cejnqwy5acejk6-ai78 (the rule with matching birth conditions and opposite survival conditions) has no still lifes.

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x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 31150 spaceships and 1205 oscillators from outer-totalistic rules. You are invited to help!

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Moosey
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Re: Rules with interesting dynamics

Post by Moosey » August 24th, 2019, 7:51 am

Interesting gun-related behavior:

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x = 30, y = 30, rule = B3-y5ci/S23-aq4aei
bo2bo2bobo3b2o3bo2bobo2b3o$3ob2ob2obo3b2obo3b2o3b2o$2b5o3bo2bobo4b2o5b
o$b2ob2obo4b4obobobo2b2obo$o2b2obob3ob3ob6obo2bob2o$5o2bobob7o2b2o2b3o
$3b2ob4o4bo6b3ob3obo$b5ob2o2bo3b2o2b3o3b2ob2o$b2obo2bo2b2obo2b2o2b2o3b
o2bo$2o2bo4bo6b2obob5obo$3bo3b2o2bo3bob2ob2obob2o$2bo5bob3obobo2b3ob2o
b3o$ob2o2b2o2b2o4bo3b4o2b2obo$3bo2b2o2b2o3b2o2bob5o$2ob5obo7bo2bob2obo
bobo$2obo4bo2bo4bo3bo2bo2b4o$4obo3b2obobob2ob2obo2b2o$o2b3obo2b2o2b3ob
2ob2o3b3o$obo2bo5b3ob2obob2obo4b2o$2b5o2b3o2bobobob2o2bo2b2o$obo2b3ob
3obo2b2o3b2obo4bo$obobobo3b2ob2o7bo2b2o$2b4obobo2b4obob2obobo3b2o$4o2b
3obo3b2obo2b3ob6o$2o3b2o3bob2ob4o2b3obobobo$ob2o2bob2o5b4ob2o2b3ob2o$
2b2o2b6ob2o4b4ob2obobo$b3ob3o3b2o4b4obo3b4o$2b6obobob3o3bobob2obo2bo$
2ob2o4b2ob3o2b5o2b2o2bo!
Run a large soup and you'll see what I mean.
This distant relative may be fun to search:

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x = 5, y = 5, rule = B3-y4eijt5cik6i7c/S23-aq4aei
2b2o$bob2o$4bo$o2bo$2o!
Or this closer one:

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x = 23, y = 17, rule = B3-y4e5cik/S23-aq4aei
2b2o$o2bo$2b2o2$19b2o$19bo2bo$19b2o6$5b2o$3bo2bo$2bo$2b2obo$3b2o!
Or this one, which has interesting, though near explosive, behavior:

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x = 91, y = 49, rule = B3-y4e5acik/S23-aq4aeiz
51b2o4bo4bobob3o3b3obo5bob4o2bo$52bobobob3o4b2ob7obo5bo3bobo$51bob2o2b
6obobobob2ob2o2b2o3bobobob2o$52b3obobo5b4obob2o3bobo2b6o2bo$51b3ob6obo
2b2o2b5o2b3o3bo4b2obo$52b2ob5o3bo2b3o3b2o2b2ob2ob3o4bo$51b3obobo2bo2bo
b4obo2b3o2b2obo2bob2ob2o$52b4ob3o3b3ob3o3b4o3b2obo6bo$51bobobo3b2o3b3o
bobobo2bo4bobo3bob3o$54bo2bobobob2o2b2o2bo2bob2o2b6o2b3o$53bo4b2o2bob
5o2bobobob2o2b2obo3b2o$56b2ob2o4b2obob3o2b5obo3b2ob2o$51b5o3b2o6bo3bob
6o2b3o3b2obo$53b2ob4obo2b4o2bo4bo3bob4obobobo$53bobobo2bobo4b3ob2ob2ob
2ob2obobo2b3o$55bobob3obobob3obo3b5obob8o$51bobo4b2o4b3obob3obo3b2o2bo
bo2bo2bo$52b3o2bo2b2ob5o3b4ob3obobo2b5o$53b3obobobob3ob3o2bo3b4ob2o2b
2o2bo$51b2o2b5ob2o5b3ob6ob2o2bobob3o$54b2o2bo2bo3bo2bo4bo2bobo2bobob2o
$52bo2b2obo3bo8bobo2b2obo4bo5bo$51bobobo3b3o3b4obo3bob2obobobob6o$51b
4ob3o3bob3o3bob2o2b2obobobob6o$53bo2b3ob7obobob2o3b2ob4o2bobobo$51b3o
3b2ob5obob2ob3ob2obo2b2obobob2o$52b2ob8o4b4ob3obo2bo5b2obobo$52bo3bo2b
6ob2o4b3ob4obo2bob3obo$53b4o4bo2b4obobob2obob2o2bob3ob3o$51bobob2ob4o
3bob6ob3o2b3ob4obobo$52bob2o2b4obo2bob7o3bo4b2obo$51bobobo2bo4b3o7b3ob
obobob4ob3o$51b3o4b3ob4o6b3ob2obobob2o2b2o$53bo6b3o3b2o2bobob3o3b2ob4o
$51bob2o2bob2ob2o3bo3bobo2bobo2b2o4bo$51bobo6bo2bob2o2b2ob2obo2b5o3bo
3bo$51bob4ob2o2b7o8bo6bo2b4o$54b3ob6ob3o2b2ob3o2bobo2bo2b2o2bo$51bo3bo
b2obob4o2bob2o3bo2b2o4bo2b3o$52b2ob2obo2b6o6bo2bobo3bob2obob2o6$5o$o3b
o$bobo$2bo!
EDIT:
after a search, an RRO thing:

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x = 18, y = 14, rule = B3-y4e5acik/S23-aq4aeiz
4b3o10bo$7o9bo$2o3bo9bobo$2bob2o9bobo$5bo10bo$4bo2b2o$3bo4bo$4bo$4b4o2$11b4o$
11bo2bo$11bo2b2o$13b2o!
P4 tagalong:

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x = 6, y = 5, rule = B3-y4e5acik/S23-aq4aeiz
5bo$2o2bo$o3b2o$2o2bo$5bo!
P5 sparker:

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x = 4, y = 5, rule = B3-y4e5acik/S23-aq4aeiz
2b2o$bobo$2o$bobo$2b2o!
c/62d:

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#C this has some enormous sparks that probably make it near-indestructible.
x = 6, y = 5, rule = B3-y4e5acik/S23-aq4aeiz
bobo$o2b2o$5bo$2bo2bo$3b3o!
Osc:

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x = 8, y = 8, rule = B3-y4e5acik/S23-aq4aeiz
3o$obo$2o3$6b2o$5bobo$5b3o!
Bullet tagalongs:

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#C to be fair, the first isn't really a tagalong since it interacts with the bullet.
x = 19, y = 8, rule = B3-y4e5acik/S23-aq4aeiz
2bo6bo7bo$b3o4b3o5b3o$b3o4b3o5b3o2$2bo$2o7b2o5bobo$9bo6b3o$8bobo5b3o!
And, of course, the 2c/23o and c/4d that make this rule fascinating:

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x = 9, y = 18, rule = B3-y4e5acik/S23-aq4aeiz
5b2o$4b2obo$4bo$5bo2bo$7b2o9$2b2o$bobo$o2bo$bobo$2b2o!
Obviously, there are infinitely many c/2s, though many can be separated into ship + tagalong.

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x = 6, y = 30, rule = B3-y4e5acik/S23-aq4aeiz
2b3o$2bobo2$3bo2$2b3o$bo3bo2$3bo2$2b3o$bo3bo2$3bo2$2b3o$bo3bo2$3bo2$2b
3o$bo3bo2$2bobo$2bo$2bo2$b2o$o$bo!
The eater is a little odd but it still works:

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x = 11, y = 12, rule = B3-y4e5acik/S23-aq4aeiz
9bo$8bo$8b3o6$2b2o$3bo$3o$o!
EDIT:
ran a large soup, looks explosive. this may be the first rule which explodes on large-ish scales but not on small scales--it's searchable, albeit slowly:

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b3-y4e5aciks23-aq4aeiz/C1: 7758 soups completed (19.355 soups/second current, 13.758 overall).
b3-y4e5aciks23-aq4aeiz/C1: 7825 soups completed (4.186 soups/second current, 13.494 overall).
b3-y4e5aciks23-aq4aeiz/C1: 7853 soups completed (2.279 soups/second current, 13.261 overall).
b3-y4e5aciks23-aq4aeiz/C1: 7970 soups completed (9.142 soups/second current, 13.174 overall).
b3-y4e5aciks23-aq4aeiz/C1: 8121 soups completed (12.907 soups/second current, 13.169 overall).
b3-y4e5aciks23-aq4aeiz/C1: 8330 soups completed (18.136 soups/second current, 13.260 overall).
b3-y4e5aciks23-aq4aeiz/C1: 8449 soups completed (11.900 soups/second current, 13.239 overall).
b3-y4e5aciks23-aq4aeiz/C1: 8450 soups completed (0.711 soups/second current, 13.211 overall).
b3-y4e5aciks23-aq4aeiz/C1: 8526 soups completed (6.601 soups/second current, 13.094 overall).
b3-y4e5aciks23-aq4aeiz/C1: 8625 soups completed (6.158 soups/second current, 12.927 overall).
b3-y4e5aciks23-aq4aeiz/C1: 8773 soups completed (14.510 soups/second current, 12.951 overall).
b3-y4e5aciks23-aq4aeiz/C1: 8963 soups completed (18.881 soups/second current, 13.038 overall).
I know the rule is explosive because enormous blobs producing massive amounts of ships are a telltale sign of explosions, and this is a 4500x4500 blob produced by 331x256 soup which shows no indication of stopping:
the white bit in the center is the 4500x4500 blob. Including escaping ships, it's probably 40000x40000ish
the white bit in the center is the 4500x4500 blob. Including escaping ships, it's probably 40000x40000ish
large soup explosion.png (15.92 KiB) Viewed 5429 times
EDIT:
piplicator but dirtier:

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x = 3, y = 3, rule = B3-ckq/S2-c34ci5e6n
b2o$2o$bo!
I am a prolific creator of many rather pathetic googological functions

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FWKnightship
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Re: Rules with interesting dynamics

Post by FWKnightship » August 24th, 2019, 9:49 am

P112 bullet guns:

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x = 478, y = 66, rule = B3-y4e5acik/S23-aq4aeiz
176bo$175b3o$175b3o$79bo$3o75b3o362bo$obo75b3o361b3o$442b3o$bo7b2o$25b
2o$8b2o13bo3bo$9bob2o9bobob3o300bo60bo$9bo2b2o10b2obo144bo71b3o81b3o
58b3o$10b3o8bo3b2o143b3o71bobo80bobobo56bobobo$11bo9bo2bo145bob2o153b
2o2bo56b2o2bo$23bo147bob2o70bo16bo63bob2o40bo16bob2o$103bo66b2ob2o86b
3o61bo4bo38b3o14bo4bo$102b3o62b2o4b2o85bobobo64bo39b3o18bo$12b2o87bobo
bo58b2o2b3o2b2o85b2o2bo61b2o59b2o$101b2o2bo58b2o2b3ob3o84bob2o$100bob
2o65b2o87bo4bo$15b2o82bo4bo65b2o90bo$12b2o89bo67bo87b2o$11bob2o85b2o
217bo60bo$11bo2bo304bo60bo$12b3o300b3o58b3o38bo15bobo$315bob2o3bo5bo
47bob2o3bo5bo25bo3b2o12b3o$252bo62bo2bo3bo4b3o46bo2bo3bo4b3o24b2o13b3o
bo$93bo73bo84bo63b2o8b2obo47b2o8b2obo24bo3b2o9bo2b2o$93bo73b2o3b2o74b
3o76bo4bo55bo4bo23bo12bo$89b3o71b2o6b3o74bob2o3bo5bo66b3obo56b3obo24b
2obo9b3o$89bob2o3bo5bo59b2obo4bo2bo74bo2bo3bo4b3o67bo60bo$9b3o77bo2bo
3bo4b3o59b3o4bo78b2o8b2obo$11bo78b2o8b2obo60bobo3b2o88bo4bo$8bob3o48b
5o35bo4bo154b3obo$7b3o3b2o45b6o9b3o24b3obo156bo$8b3o3bo43b3o4bo9b2o27b
o$13b2o44bob2o4b2o7bo2bo212b5o$10bobo46b2obob4o9b3o211b6o9b3o119bob2o$
11bo52b3o109b3o44b2o64b3o4bo9b2o45b2obo72bo2bo$63b3o9bo99bo2bo43bob3o
63bob2o4b2o7bo2bo40bo2b4o10bo59b2ob2o$63bo10b2o99bob2o42b2o4b2o9bo51b
2obob4o9b3o40bo7bo7b3o59b3o$79bo96b2o45bobo2bo8b3o55b3o53b5obobo10bo
59bo$64b2o11b2o100b2o43bob3o7bobobo53b3o9bo45bo6bo10b2o$64b2o10bob2o
143b3o10bo2bo54bo10b2o50b2o9bo$12bo63b3o145bo10b3o2bobo67bo44b2o10bo$
10bo3bo62bo98b2o59b2o3b2o51b2o11b2o44bo11bo109b2o$8b2o4b2o212bo66b2o
10bob2o56bo3b2o101bo2bo$8bo4bobo210b2o10bobo66b3o46bo13bo105b2o$8bo3bo
3bo170bo38bo11b3o67bo47b2o10bobo65b3o$12b2o3bo157bo9bo2bo179b3o64bo2bo
$12bo3bo157b3o8bo3b2o244bob2o$14b3o156bo2b2o10b2obo244b2o$173bob2o9bob
ob3o246b2o$172b2o13bo3bo$189b2o$173b2o261b2o3$447bo$435bo9bo2bo$434b3o
8bo3b2o$433bo2b2o10b2obo$433bob2o9bobob3o$432b2o13bo3bo$449b2o$433b2o!
P112 glider guns:

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x = 553, y = 43, rule = B3-y4e5acik/S23-aq4aeiz
261bo$260b3o$39b3o217bobobo$40bo218b2o2bo$38bo3bo215bob2o172bo$37bo
105bo113bo4bo64bo105b3o$37bobobo54bo45b3o116bo64b3o10b3o90bobobo$39bob
o53b3o10b3o32bo114b2o64bo2b2o10bo92b2o2bo112bo$37bo55bo2b2o10bo215bobo
bobo7bo92bob2o113b3o$93bobobobo7bo38bo177b3o4bo98bo4bo111bobobo$93b3o
4bo225bo3bo6bo3b3o90bo112b2o2bo$95bo3bo6bo3b3o214bobo10bobo88b2o82b2o
29bob2o$74bo21bobo10bobo139bo75b3o8b2o4bo170bobo27bo4bo$72bob3o19b3o8b
2o4bo137bo87b2o3bo170bo33bo$72bo4bo30b2o3bo133b3o91bob2o201b2o$27bobo
45bob2o8b2o21bob2o133bob2o3bo5bo81bo$26b3o46b3o4bo3bo2bo21bo135bo2bo3b
o4b3o162bo$2bo22b2o2bo8b3o35bo5bo3b2obo158b2o8b2obo162bo$ob3o21b2obo7b
o2bo46b3o169bo4bo155b3o$o4bo21b2o8bo2bo44bo70b2o102b3obo38bo116bob2o3b
o5bo105bo$3bob2o8b2o20bobob2o42bo58bo9bo3bo103bo38bob3o114bo2bo3bo4b3o
104bo$3b3o4bo3bo2bo21b3o62bo38b3o8b2o2bo142bo4bo114b2o8b2obo100b3o$4bo
5bo3b2obo23b2o62bo36b3obo7bo3bo62b3o80bob2o8b2o114bo4bo97bob2o3bo5bo$
15b3o85b3o37b2ob2o7b3o61b2o14bo68b3o4bo3bo2bo114b3obo69b2obo24bo2bo3bo
4b3o$13bo127bo2bo80bo10bo68bo5bo3b2obo116bo69bo2b4o10bo13b2o8b2obo$13b
o63b2o62bo2b2o34bo36bo6b2o8bo81b3o186bo7bo7b3o23bo4bo$75bo65b2o35b3obo
38b3o2b2o6bo3bo75bo190b5obobo10bo23b3obo$74bo4bo97bo4bo35b2obo5bo8b3o
75bo84bo106bo6bo10b2o24bo$75b2obo87b2o8b2obo46bo10bo109bo49b3o111b2o9b
o$73bo2b2o87bo2bo3bo4b3o42bob2o7b2o110bobo49b3o109b2o10bo$5b2o66bobobo
87bob2o3bo5bo43bo10b2o111b2o53b2o9bo95bo11bo$3bo70b3o88b3o55bo13bo161b
2obo9bo108bo3b2o$2bo4bo67bo93bo66bo69b2o87bob6obo7bo2bo94bo13bo$3b2obo
162bo65bo2bo24bo40bo92b2o5bo8bobo94b2o10bobo$bo2b2o229bo2bo22bobo39bo
4bo93b2o9b3o106b3o$bobobo229b3o24b2o40b2obo92bobo$2b3o297bo2b2o92bobo$
3bo298bobobo242bo$303b3o107b2o132bobo$304bo107b3o133b2o$411b3obo$412b
3o$413bo!
P224 bullet gun:

Code: Select all

x = 45, y = 33, rule = B3-y4e5acik/S23-aq4aeiz
41bo$40b3o$24b3o12bobobo$24bobo12b2o2bo$38bob2o$25bo11bo4bo$41bo$38b2o
4$b2o$2ob3o25bo$2bobobo9bo14bo$6b2o7b3o9b3o$2bo4bo6bo3bo8bob2o3bo5bo$
2bo10b3ob3o7bo2bo3bo4b3o$3b3o8bobobo9b2o8b2obo$17bo21bo4bo$40b3obo$42b
o10$2b3o$2b3o$2b3o!
EDIT:
Moosey wrote:EDIT:
piplicator but dirtier:

Code: Select all

x = 3, y = 3, rule = B3-ckq/S2-c34ci5e6n
b2o$2o$bo!
P114:

Code: Select all

x = 42, y = 28, rule = B3-ckq/S2-c34ci5e6n
15b2o$15b2o13b2o$30b2o$8b2o$8b2o3$3b2o$3b2o$23b3o2$2b3o21b3o$2bo25bo
11b2o$3b2o21b3o11b2o$2o$2o4$37b2o$37b2o3$32b2o$32b2o$10b2o$10b2o13b2o$
25b2o!
I'm too shy to talk to other members.
But I want to upload my apgsearch results to Catagolue like others.

Code: Select all

x = 12, y = 1, rule = JvN29
FWKNIGHTSHIP!

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Moosey
Posts: 3394
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Re: Rules with interesting dynamics

Post by Moosey » August 24th, 2019, 10:35 am

let's call the bullet rule bulletinlife. Because why not?
For some reason, when I try to make simple heisenburp triggers for the 2c/23 it tends to launch the output into the ship

Code: Select all

x = 34, y = 53, rule = B3-y4e5acik/S23-aq4aeiz
2o$obo$b2o4$4b2ob2obo4b2o$5bobob2o4bobo$5bobo8b2o$6b2o4$b2o$bo$2o8bo9b
2o$10b3o8bo$12b3o6b2o$14b3o$16b3o$18b3o$20b3o9b2o$22bo8bobo$30bo2bo$
31bobo$32b2o23$22b2o7b2o$21bobo6bobo$21bo7bo2bo$20b2o8bobo$31b2o!
3G 2c/23, which I believe is minimal unless I missed a 2G collision cleanly producing it:

Code: Select all

x = 128, y = 21, rule = B3-y4e5acik/S23-aq4aeiz
125bo$124b3o$125bo$123bo3bo$123b2ob2o3$16bo70bo$14b2o69b2o$7bo7b2o61bo
7b2o$5bobo68bobo$6b2o69b2o3$111b3o$113bo$112bo2$2o$b2o$o!
Anyone wanna clean up the 2G synth collection?

Code: Select all

#C my typical crummy contribution
x = 334, y = 369, rule = B3-y4e5acik/S23-aq4aeiz
109bo36bo18bo$13bo18bo19bo16bo19bo18bo19bo16bo18bo36bo$12bo18bo19bo16b
o19bo19b3o16bo17b3o16b3o15bo17bo$12b3o16b3o17b3o14b3o17b3o36b3o51bo18b
3o$181b3o4$145bo$13b3o17b3o89bo18b2o55bo$13bo19bo20bo17bo20bo13b2o15b
2o18bobo14b2o20bo16b2o$14bo19bo18b2o16b2o19b2o13bobo14bobo34bobo18b2o
16bobo$53bobo15bobo18bobo12bo53bo20bobo7$270bo$224bo22bo21bo62bo$185bo
15bo21bo22bo22b3o18bo22bo17bo$184bo15bo22b3o20b3o40bo22bo18b3o$41bo16b
o17bo16bo16bo15bo17bo16bo22b3o13b3o86b3o20b3o$21bo18bo16bo17bo16bo16bo
15bo17bo16bo$20bo19b3o14b3o15b3o14b3o14b3o13b3o15b3o14b3o$20b3o4$179b
3o15b3o59b2o$31b3o16b3o16b3o15b3o15b3o14b3o16b3o15b3o19bo17bo11b2o23b
2o20bobo20b2o40b2o$9b3o21bo18bo18bo17bo17bo16bo18bo17bo18bo17bo13b2o
23b2o21bo21b2o12b2o26b2o$11bo20bo18bo18bo17bo17bo16bo18bo17bo50bo24bo
44bo15b2o24bo$10bo285bo23$61bo157bo$29bo30bo157bo38bo$28bo15bo15b3o
155b3o14bo20bo$28b3o12bo190bo21b3o$43b3o188b3o5$260b3o$63b2o173bo21bo$
63bobo146b2o23b2o22bo$21b2o21b2o17bo149b2o22bobo$20bobo21bobo165bo$22b
o21bo17$39bo15bo39bo153bo24bo19bo$17bo20bo15bo39bo120bo16bo15bo24bo19b
o$16bo21b3o13b3o15bo21b3o17bo99bo16bo16b3o22b3o17b3o$16b3o52bo41bo100b
3o14b3o$71b3o39b3o5$74b3o$9b3o62bo17b2o16bo103bo35b2o35b2o$11bo21b2o
15b2o23bo16bobo14b2o102b2o16b2o17bobo11b2o22b2o$10bo23b2o15b2o39bo16bo
bo101bobo15bobo16bo14b2o20bo$33bo16bo180bo32bo6$28b2o19b2o$29bo20bo
152b2o$204bo7$19bo233bo$18bo20bo194bo17bo$18b3o17bo166bo27bo18b3o$38b
3o163bo28b3o$204b3o2$268b2o$269bo$211b2o$212bo$35bo$13b2o19b2o169bo42b
2o$12bobo19bobo167b2o13b2o26bobo$14bo189bobo13b2o27bo$219bo14$207b2o
24b2o$208bo25bo$213bo15bo$212bo15bo26bo$16bo195b3o13b3o23bo$15bo238b3o
$15b3o215bo24b3o$232b2o24bo$232bobo24bo$210b2o37b2o$209bobo38bo$211bo
4$8b2o$9b2o$8bo18$12bo207bo$11bo207bo$11b3o205b3o6$14b3o$14bo203bo$15b
o201b2o$217bobo17$22bo$21bo$21b3o$252bo$251bo$251b3o6$13b2o239bo$12bob
o238b2o$14bo238bobo16$14bo$13bo$13b3o264bo$279bo$279b3o4$12bo$11b2o
266b3o$11bobo265bo$280bo11$260b2o$261bo9$10bo16bo237bo$9bo16bo237bo$9b
3o14b3o235b3o5$265b3o$265bo$28bo237bo$5b2o20b2o$6b2o19bobo$5bo21$33bo
239bo$32bo239bo$32b3o237b3o6$32b3o$32bo$33bo$263b2o$262bobo$264bo7$
270b2o$271bo6$67bo13bo$66bo13bo$66b3o11b3o8$62b2o21b2o195bo$62bobo20bo
bo193bo$62bo22bo195b3o7$279bo$278b2o$278bobo7$24bo$23bo$bo21b3o34bo$o
58bo$3o56b3o5$2b3o$2bo24b2o17b3o$3bo23bobo18bo$27bo19bo!
Dang repeat time!

Code: Select all

x = 83, y = 98, rule = B3-y4e5acik/S23-aq4aeiz
78bo$78b2o$75bobo2bo$39b3o32b3o2b2o$40bo34bobobo$38bo3bo27b2o4bo2bo$
37bo33bo4bobo$37bobobo30bo3b3o$39bobo$37bo5$74bo$74b3o$27bobo43b2o2bo$
26b3o41b2obo2b3o$2bo22b2o2bo8b3o29bo4bobo$ob3o21b2obo7bo2bo29b2o2bobo$
o4bo21b2o8bo2bo$3bob2o8b2o20bobob2o30b2o$3b3o4bo3bo2bo21b3o31bo$4bo5bo
3b2obo23b2o34b2o$15b3o59b2o$13bo62b3o$13bo61b2o3b2o$73bob3ob4o$73b2obo
b4o$73bo4b2o$75bo$5b2o70bo$3bo$2bo4bo$3b2obo$bo2b2o$bobobo$2b3o69bo$3b
o69b3o$72bo2b2o2bobo$72bo2b2o3b2o$72bob2obo$50bo20b2obob2o$48b2o21bo2b
ob2o$41bo7b2o22b2o$39bobo30b2o$40b2o6$11b2o$10b2o22b2o$7b2obo2bo21b2o$
7b2obob2o20bo$7bob2obo$3b2o3b2o2bo$3bobo2b2o2bo$9b3o$10bo6$7bo$9bo$5b
2o4bo$3b4obob2o$2b4ob3obo$3b2o3b2o$6b3o$6b2o$6b2o$11bo$10b2o2$8bobo2b
2o$7bobo4bo$6b3o2bob2o$7bo2b2o$8b3o$10bo7$6b3o3bo$6bobo4bo$5bo2bo4b2o$
5bobobo$4b2o2b3o$4bo2bobo$5b2o$6bo!
edgy:

Code: Select all

x = 114, y = 48, rule = B3-y4e5acik/S23-aq4aeiz
74bo$73b3o$74bo2$39b3o35bo$40bo$38bo3bo$37bo$37bobobo$39bobo$37bo4$87b
2o$75bo9bo3bo$74b3o8b2o2bo22b2o$27bobo43b3obo7bo3bo20b3o$26b3o45b2ob2o
7b3o19bobob2o$2bo22b2o2bo8b3o31bo2bo22b2o8bo2bo$ob3o21b2obo7bo2bo31bo
2b2o20b2obo7bo2bo$o4bo21b2o8bo2bo31b2o22b2o2bo8b3o$3bob2o8b2o20bobob2o
54b3o$3b3o4bo3bo2bo21b3o56bobo$4bo5bo3b2obo23b2o$15b3o$13bo$13bo3$108b
o$110bobo$5b2o101bobobo$3bo104bo$2bo4bo101bo3bo$3b2obo104bo$bo2b2o104b
3o$bobobo$2b3o$3bo3$74bo$72b2o$73b2o$41bo$39bobo$40b2o!
2G U (bullet, abbreviated) and 2U G:

Code: Select all

x = 14, y = 20, rule = B3-y4e5acik/S23-aq4aeiz
5bo$4bo$4b3o$o$b2o$2o8$11b3o$11b3o$12bo2$b2o$2bo$b2o!
pseudo p56 Gun:

Code: Select all

x = 271, y = 164, rule = B3-y4e5acik/S23-aq4aeiz
238b3o$237bo4bo$236bo5bo$236bobobo7bo$237b2o$245b3o$245b3o$246bo6$238b
4o$238b3o$238b5o$234b4obo$234bob3ob2o4$264bo$261b3ob3o$259bo6b2o$260bo
4b2o$259bo4bo$260bo$236bo24b2o$235bo$235b3o3$254b3o$254bobo2$254b2o6b
3o$262b2obo$260bo4bo$260bob3o$262b2o$262bo18$210b3o$210b3o$211bo10$
265b2o$267bo2$267b2o$264bobobo$267bo$257bo8bo$257b3o$257b3o$258bo$239b
o$238b2o$238bobo$264bo$263b2o$262b2o4bo$262b2o5b2o$263b3ob2obo$265b3o$
265b5o3$240bo$237b3ob3o$237b2o6bo$238b2o4bo$240bo4bo$175b3o66bo$173bo
4bo63b2o$173bo5bo$167bo7bobobo$177b2o$168b3o$87b2o79b3o77b3o$86b3o80bo
78bobo$73b2o11bobo$22b2o48bo2bo9bo3bo150b3o6b2o$23bo47b2ob2o12bo150bob
2o$22b2o12b2o32b3ob2o7bo4bo150bo4bo$22b2o11bo2bo44bo4bo151b3obo$22bob
3o8b2o2bo32b2o10bobo87b4o63b2o$23b4o12bo45bobo87b3o64bo$22bob3o9bo2bo
133b5o$22bobobo149bob4o$24bo12b2o38b2o95b2ob3obo28b3o$75bo2bo131b3o$
75bob2o132bo$33b2o$32b3o116bo$33b2o113b3ob3o$36bo111b2o6bo$149b2o4bo$
107bo43bo4bo$104b2o49bo$3b2o98b3o47b2o24bo$104b2o74bo$2bo3bo171b3o$2bo
2b2o$6bo88bo12b2o$93bobobo61b3o$93bob3o9bo2bo48bobo$2bo12b2o77b4o12bo$
b2o11bo78bob3o8b2o2bo40b3o6b2o$ob2o9b2ob2o63bo11b2o11bo2bo40bob2o$2o
11bo4bo62bobo9b2o12b2o41bo4bo$b3o12bo64b2o11bo56b3obo$2b3o8b2obo10bobo
63b2o57b2o$3b2o8b2obo11b2o123bo$16bo11bo$16b2o22$58b2o54b2o54b2o$56bo
2bo52bo2bo52bo2bo$58b2o54b2o54b2o!
2c23 gun:

Code: Select all

x = 277, y = 270, rule = B3-y4e5acik/S23-aq4aeiz
189b2o$189bo2b2o$92b2o95bo2bo$90b3o98b2ob2o7b3o$88bobob2o96b3obo7bo3bo
51b2o$78b2o8bo2bo99b3o8b2o2bo49b3o$24bo52b2obo7bo2bo100bo9bo3bo47bobob
2o$22bob3o49b2o2bo8b3o112b2o38b2o8bo2bo$22bo4bo49b3o163b2obo7bo2bo$25b
ob2o8b2o39bobo161b2o2bo8b3o$25b3o4bo3bo2bo203b3o$26bo5bo3b2obo204bobo$
37b3o$35bo$35bo6$173bobo$106bo65b3o$106bo64b2o2bo8b3o$108b3o61b2obo7bo
2bo6bo78bo$97bo5bo3b2obo62b2o8bo2bo7b2o76bo$10bo3bo73bo7b3o4bo3bo2bo
72bobob2o4b2o79b3o$9bobo76bobo5bob2o8b2o75b3o75bo5bo3b2obo$7bo80b2o3bo
4bo88b2o65bo7b3o4bo3bo2bo$6b2o5b2o78bob3o156bobo5bob2o8b2o$7b4obo5b3o
5bobo66bo158b2o3bo4bo$8bo9bo2bo5b2o230bob3o$18b2ob3o3bo233bo$20bobo$
21bo18$221bo$222b2o$60bo160b2o$60bobo$60b2o164bo$226bobo$54bobo169b2o$
55b2o$55bo13$202bo$200b2o$81bo119b2o$79bobo$80b2o52$146bo$144b2o$137bo
7b2o$135bobo$136b2o7$130b2o$131b2o$130bo54$74b2o$75b2o$74bo15$49b2o$
48bobo$50bo2$54b2o$53b2o$55bo20$15bo$13b3obo$12bo4bo3b2o$b2o8b2obo5bob
o$o2bo3bo4b3o7bo65b2o$ob2o3bo5bo75b3o$3o79b2o4b2obobo$4bo76b2o7bo2bo8b
2o$4bo78bo6bo2bo7bob2o$90b3o8bo2b2o$102b3o$101bobo9$30bobo$31b3o$19b3o
8bo2b2o$19bo2bo7bob2o$19bo2bo8b2o38b2o$17b2obobo47bo3bo9bo$18b3o49bo2b
2o8b3o$17b2o51bo3bo7bob3o$71b3o7b2ob2o$84bo2bo$83b2o2bo$86b2o!
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

User avatar
dani
Posts: 1004
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA
Contact:

Re: Rules with interesting dynamics

Post by dani » August 24th, 2019, 12:46 pm

This would be a nice spaghetti relative if stable ends didn't keep showing up... I can't really get rid of them without destroying the rule's dynamic though:

Code: Select all

x = 100, y = 2, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
o96bobo$100o!
she/her
moose#0915

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Moosey
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Re: Rules with interesting dynamics

Post by Moosey » August 24th, 2019, 1:48 pm

danny wrote:This would be a nice spaghetti relative if stable ends didn't keep showing up... I can't really get rid of them without destroying the rule's dynamic though:

Code: Select all

x = 100, y = 2, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
o96bobo$100o!
Something which could work for a frontend or a backend:

Code: Select all

x = 21, y = 3, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
18obo$o$21o!
That rule looks like it simulates some sorta TC 1DCA thing -- perhaps one can encode infinite growth or similar? Or possibly get it to compute a fast-growing function and reach a ridiculous population?
Especially since cleavage of the tape is an unusual but available option (and this also features an eater, which is unrelated of course)

Code: Select all

x = 90, y = 13, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
38b3o$38bobo$38bobo$38b3o6$37bo$2o34bobo49b2o$o7bo28bobo45bo3bo$90o!
Stabilization after ~35K gens

Code: Select all

x = 1000, y = 2, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
999bo$1000o!
Perhaps it could hit the boxes it leaves behind with sparks or other boxes to cleave the line?

EDIT:
Neat relative which I believe is more closely related to spaghetti:

Code: Select all

x = 55, y = 3, rule = B2ce3ar4aeir5jnq6k7/S123-acik4eikrtyz5nq6ack7e
obo9b4o8b4o8b4o11b4o$bo13bo11bo11bo14bo$bo10b4o8b4o8b4o11b4o!
I vote we call this particular relative "bolts".

Code: Select all

x = 24, y = 3, rule = B2ce3ar4aeir5jnq6k7/S123-acik4eikrtyz5nq6ack7e
3o17b4o$obo20bo$3o17b4o!
Kinda weird backend:

Code: Select all

#C/5
x = 4, y = 17, rule = B2ce3ar4aeir5jnq6k7/S123-acik4eikrtyz5nq6ack7e
3bo$bobo$bobo$bobo$bobo$bobo$bobo$bobo$bobo$bobo$bobo$bobo$b3o$3bo$4o$
o$2o!
EDIT:
despite the fact that the linear growth patterns are far too frequent for comfort, the rule searches very rapidly:

Code: Select all

Running 10000000 soups per haul:
Linear-growth pattern detected: yl7_1_1_35b6d6bfb27dabc47451920843b7c0ee
Linear-growth pattern detected: yl7_1_1_35b6d6bfb27dabc47451920843b7c0ee
Linear-growth pattern detected: yl4_1_2_a7de11ada1a2a64323ee77ac02a09557
Linear-growth pattern detected: yl4_1_2_a7de11ada1a2a64323ee77ac02a09557
Linear-growth pattern detected: yl7_1_1_35b6d6bfb27dabc47451920843b7c0ee
Linear-growth pattern detected: yl4_1_2_a7de11ada1a2a64323ee77ac02a09557
Linear-growth pattern detected: yl4_1_2_a7de11ada1a2a64323ee77ac02a09557
Linear-growth pattern detected: yl7_1_1_35b6d6bfb27dabc47451920843b7c0ee
Linear-growth pattern detected: yl4_1_2_a7de11ada1a2a64323ee77ac02a09557
Linear-growth pattern detected: yl4_1_2_a7de11ada1a2a64323ee77ac02a09557
Linear-growth pattern detected: yl4_1_2_a7de11ada1a2a64323ee77ac02a09557
Linear-growth pattern detected: yl4_1_2_a7de11ada1a2a64323ee77ac02a09557
Linear-growth pattern detected: yl4_1_2_a7de11ada1a2a64323ee77ac02a09557
Linear-growth pattern detected: yl4_1_2_a7de11ada1a2a64323ee77ac02a09557
Linear-growth pattern detected: yl7_1_1_35b6d6bfb27dabc47451920843b7c0ee
b2ce3ar4aeir5jnq6k7s123-acik4eikrtyz5nq6ack7e/C1: 3657 soups completed (365.700 soups/second current, 365.700 overall).
Linear-growth pattern detected: yl7_1_1_35b6d6bfb27dabc47451920843b7c0ee
Linear-growth pattern detected: yl7_1_1_35b6d6bfb27dabc47451920843b7c0ee
Linear-growth pattern detected: yl7_1_1_35b6d6bfb27dabc47451920843b7c0ee
Linear-growth pattern detected: yl7_1_1_35b6d6bfb27dabc47451920843b7c0ee
Linear-growth pattern detected: yl7_1_1_35b6d6bfb27dabc47451920843b7c0ee
b2ce3ar4aeir5jnq6k7s123-acik4eikrtyz5nq6ack7e/C1: 7042 soups completed (338.500 soups/second current, 352.082 overall).
hauls are huge too.

EDIT:
c/7o frontend:

Code: Select all

x = 4, y = 6, rule = B2ce3ar4aeir5jnq6k7/S123-acik4eikrtyz5nq6ack7e
4o$3bo$2b2o2$obo$3o!
p10:

Code: Select all

x = 6, y = 6, rule = B2ce3ar4aeir5jnq6k7/S123-acik4eikrtyz5nq6ack7e
6o$o2bobo$o4bo$4obo$5bo$3b2o!
p11:

Code: Select all

x = 16, y = 10, rule = B2ce3ar4aeir5jnq6k7/S123-acik4eikrtyz5nq6ack7e
11b3o2$7b4ob4o$11bo$b3o3b2o$3bo4bo$3bo4bo$2o3b2o$o5bo$7o!
p13:

Code: Select all

x = 10, y = 17, rule = B2ce3ar4aeir5jnq6k7/S123-acik4eikrtyz5nq6ack7e
4bo$4bo$4bo$4bo$4bo$4b6o$6bo2bo$9bo3$4o$o2bo$o2bo$o2bo$o$o$o!
All prime periods up to 13 are known.
for more information, see https://catagolue.appspot.com/census/b2 ... q6ack7e/C1

This soup has the largest strict SL yet:

Code: Select all

x = 16, y = 16, rule = B2ce3ar4aeir5jnq6k7/S123-acik4eikrtyz5nq6ack7e
bobobbobooobbobo$
bboboooooobbbbbb$
booobbbobobobobb$
bobobobbbboobobb$
boooobooooobbobo$
booobbobobbbbooo$
obbbooboooboooob$
boboboobbbboobob$
booobbobobbbobob$
bbooooobooooooob$
obobbobooooobobo$
bbboobbobooobbbb$
oobbobbooboobbob$
bbbboooobbbbbooo$
oobbbbbbbbbobbob$
bbobbobbbobooobo!
there are more than 1700 natural 15-bit SLs in the first haul I made alone!
https://catagolue.appspot.com/census/b2 ... 7e/C1/xs15

EDIT:
PATHOLOGICAL:

Code: Select all

x = 16, y = 16, rule = B2ce3ar4aeir5jnq6k7/S123-acik4eikrtyz5nq6ack7e
oobbbbbobbbooobb$
oobbobbbooboooob$
oobobooobbbbbbbb$
bbbobbbobbobbbob$
obbobooboboobbbo$
oboooobooboobobo$
obbobboobobboobo$
obbbbbbbboobbobo$
oobbbobbobbbbobo$
booboobooobobbob$
boboobboobbboobo$
obooooooboboobob$
obbobboboooboobo$
ooobobooobooobbo$
booooobbboobboob$
booboooooobboooo!
Anyone wanna find a c/7o wickeater with ntzfind?
Either bolts or this rule:

Code: Select all

x = 31, y = 21, rule = B2ce3ar4aeir5jnq6k7c/S123-acik4eikrtyz5nq6ack7e
18b3o$18bobo$11b3o$11bobo3b2o$b3o13bo$bobo6b2o5b12o$10bo$2o8b18o$o$28o
2$b28o$bo$b2o5b22o$8bo$2bobo3b2o7b14o$2b3o12bo$9bobo5b2o$9b3o$18bobo$
18b3o!
EDIT: after looking over tens of rules, a c/7o wickeater remained elusive. One of the most frustrating results is below:

Code: Select all

x = 32, y = 15, rule = B2ce3aer4aceirtz5ejknq6eik7c8/S123-acik4eirtwyz5q6ack8
b3o$bobo2$2o$o$30o$31bo$29b3o$31bo$30o$o$2o2$bobo$b3o!
You cannot pass! But I won't let you kill me from my carelessness either:

Code: Select all

x = 12, y = 12, rule = B2ce3ar4aeir5jnq6k7/S123-acik4eikrtyz5nq6ack7e
11bo$11bo$6o3bo$obo2bo3bo$o2bobo$4obo$5bo$3b3o$7bobo$7bobo$7bobo$7b3o!

EDIT:
A ship can be added to Dani's rule without damaging its dynamics:

Code: Select all

x = 100, y = 24, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
29bo$28bo$29bo20$o96bobo$100o!
Extends significantly:

Code: Select all

x = 86, y = 5, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
3o$obo$2bo$2bo45bo36bo$2b47o!
Timebomb:

Code: Select all

x = 55, y = 5, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
3o$obo$2bo$2bo51bo$2b53o!
Growing tape demo:

Code: Select all

x = 23, y = 5, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
18b4o$18bo3bo$21bo$o21bo$22o!
Large stack of p2s early on:

Code: Select all

x = 65, y = 5, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
58b6o$58b2o3bo$13b5obo13bo5b18o5b3o$o18bo11bo3bo2bo19bo4bo$64o!
It's unfortunate the rule is explosive.
Last edited by Moosey on August 24th, 2019, 4:16 pm, edited 1 time in total.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

AforAmpere
Posts: 1125
Joined: July 1st, 2016, 3:58 pm

Re: Rules with interesting dynamics

Post by AforAmpere » August 24th, 2019, 4:16 pm

C/7:

Code: Select all

x = 6, y = 28, rule = B2ce3ar4aeir5jnq6k7c/S123-acik4eikrtyz5nq6ack7e
3bo$4obo$o2bobo$o4bo$obob2o$o$obo$o$2o$o$2o2b2o$o2b3o$o3b2o$ob2obo$2ob
3o$ob2obo$b3obo$bo3bo$bo2b2o$b2o2bo$b2ob2o$2b2obo$bobobo$obo2bo$obob2o
$4obo$4b2o$3b3o!
Another wickstretcher:

Code: Select all

x = 6, y = 27, rule = B2ce3ar4aeir5jnq6k7c/S123-acik4eikrtyz5nq6ack7e
3bo$4obo$o2bobo$o4bo$obob2o$o$obo$o$2o$o$2o2b2o$o2b3o$o3b2o$ob2obo$2ob
3o$ob2obo$3bobo$3bobo$3bobo$3bobo$3bobo$3bobo$3bobo$3bobo$3bobo$3bobo$
3b3o!
Wildmyron and I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

User avatar
Gustone
Posts: 618
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Re: Rules with interesting dynamics

Post by Gustone » August 24th, 2019, 4:32 pm

wickstretcher "intagalong"

Code: Select all

x = 7, y = 5, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
6o$o5bo$2obobo$o5bo$6o!
related

Code: Select all

x = 5, y = 5, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
b3o$bobo$5o$bobo$b3o!
My favourite oscillator of all time

Code: Select all

x = 15, y = 13, rule = B3/S23
7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o
4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o!

User avatar
Moosey
Posts: 3394
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Re: Rules with interesting dynamics

Post by Moosey » August 24th, 2019, 4:52 pm

Gun

Code: Select all

x = 2, y = 7, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
o$2o$o$o$o$2o$o!
Can anyone find a stable version of the rule that keeps the lines with weird, unpredictable behavior?


EDIT:
This eater is just stupid.

Code: Select all

x = 18, y = 15, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
15b3o$15bobo$15bobo$15bobo$15bobo$15bobo$bo13bobo$o14bobo$bo13bobo$15b
obo$15bobo$15bobo$15bobo$15bobo$15b3o!
It's basically just this:

Code: Select all

x = 14, y = 9, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
11b3o$11bobo$11bobo$bo9bobo$o10bobo$bo9bobo$11bobo$11bobo$11b3o!
Note: it can perturb stuff:

Code: Select all

x = 26, y = 24, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
24b2o$25bo$22b2o$23bo$20b2o$21bo$18b2o$19bo$16b2o$17bo$12b4o$12bo2bo$
12b4o3$11b3o$11bobo$11bobo$bo9bobo$o10bobo$bo9bobo$11bobo$11bobo$11b3o
!
Get a signal out of burning fuse:

Code: Select all

x = 34, y = 30, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
32b2o$33bo$25b2o4bo$23bo2bo5bo$23b2o4b2o$25b3o2bo$24bo3bo$25bo$22b2o$
23bo$20b2o$21bo$18b2o$19bo$16b2o$17bo$12b4o$12bo2bo$12b4o3$11b3o$11bob
o$11bobo$bo9bobo$o10bobo$bo9bobo$11bobo$11bobo$11b3o!
P13:

Code: Select all

x = 35, y = 7, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
12b20o$12bo19b3o$10o4b18o2bo$o9bo3bo17bo$32o$33bo$32b2o!
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

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Hdjensofjfnen
Posts: 1571
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Rules with interesting dynamics

Post by Hdjensofjfnen » August 24th, 2019, 5:49 pm

Stator reduction to p13:

Code: Select all

x = 14, y = 7, rule = B2cei3aer4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
6b5o$6bo4b3o$4o4b3o2bo$o3bo3bo2bo$11o$12bo$11b2o!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Moosey
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Re: Rules with interesting dynamics

Post by Moosey » August 25th, 2019, 11:17 am

In Dani's original rule:

Code: Select all

x = 119, y = 2, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
o115bobo$119o!

Code: Select all

x = 125, y = 2, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
o121bobo$125o!

Code: Select all

x = 131, y = 2, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
o127bobo$131o!

Code: Select all

x = 138, y = 2, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
o134bobo$138o!

Code: Select all

x = 141, y = 2, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
o137bobo$141o!

Code: Select all

x = 142, y = 2, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
o138bobo$142o!

Code: Select all

x = 167, y = 2, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
o163bobo$167o!
Almost wholly leaves boundingbox:

Code: Select all

x = 148, y = 2, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
o144bobo$148o!
Are there any ships?
Edit:
Strange:

Code: Select all

x = 175, y = 2, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
o171bobo$175o!
This is ridiculous.

Code: Select all

x = 180, y = 2, rule = B2cei3ar4aeir5nqr7c/S1c23eqry4eikry5qy6ack7e
o176bobo$180o!
EDIT:
Unpredictable explosion in unrelated rule:

Code: Select all

x = 30, y = 30, rule = B012-c3-ajr4567/S012cek3aejr4aikrtz5inqry6ai
2bobo4b4ob6ob2ob4o$obob8ob3obob4obobob2o$5bob2o2b4o5b2ob6o$b2o3bob2ob
3obo2bo2bo5b2o$b12ob2obo2bobo4b2o$2b4o2b2ob3obo2b3o2b3obobo$b2ob4o2bob
obo2b3o3bob4o$bob2o3bo5bobo2bo2b8o$b3obobobobo5bobo2b2o3b3o$3b2obob2o
4bo2b3ob6obo$obo3b2obo2bobo2bob2obobo2bobo$b2o7bobobobobo7bobo$3ob2o2b
o2b6o4b2o2b2obo$obob8obo7bo2bo3bo$b3ob8ob6o2b2ob2obo$2bobobo3b5obo2bob
3o2bo2bo$obo2bo3bobobobob2obo2b5obo$4bo3b3obo3b3obob2obob2o$bo3bo2b5ob
obo2bob4o2bobo$obobob2obo2b3obob2obob2obo$2obobo2bobo3b2o2b3obo3b4o$ob
2o2bobob3ob4ob4o3b2obo$2o2bo3bobobo3b2obob4o$o3bobo4b2obo8b2obobo$3bob
obobo5bob3o3bob3obo$3o2bobo2bo3b2obob2o2b2obobo$o3bo4bo4b3obo$obo2bob
2ob2o3bob3o2b2obob2o$bo3b3obob2o3bob2obobo5bo$bobo2b2ob2obo3bo3b8o!
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

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Moosey
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Re: Rules with interesting dynamics

Post by Moosey » August 29th, 2019, 6:16 pm

In this rule, the margolus oscs are usually very fragile, but some-- like this p30-- can withstand collisions:

Code: Select all

x = 39, y = 19, rule = B3/S23-a5i8
37bo$37b2o$37bo16$31o!
Interestingly, boats can be turned into tubs with sparks:

Code: Select all

x = 42, y = 15, rule = B3/S23-a5i8
31o$31o$31o$31o$31o$31o9bo$31o8bobo$31o8b2o$31o$31o$31o$31o$31o$31o$
31o!
La:

Code: Select all

x = 82, y = 82, rule = B3/S23-a5i8
34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$
34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$
34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$34b15o$
34b15o3$51b31o$31o20b31o$31o20b31o$31o20b31o$31o20b31o$31o20b31o$31o9b
o10b31o$31o8bobo9b31o$31o8bo2bo8b31o$31o9b2o9b31o$31o20b31o$31o20b31o$
31o20b31o$31o20b31o$31o20b31o$31o3$33b15o$33b15o$33b15o$33b15o$33b15o$
33b15o$33b15o$33b15o$33b15o$33b15o$33b15o$33b15o$33b15o$33b15o$33b15o$
33b15o$33b15o$33b15o$33b15o$33b15o$33b15o$33b15o$33b15o$33b15o$33b15o$
33b15o$33b15o$33b15o$33b15o$33b15o$33b15o!
EDiT:
Unrelated:

Code: Select all

x = 8, y = 8, rule = B3/S2-i34ac5i
6b2o$6bo$4bobo$2o2b2o$obo$2bo$obo$2o!

EDIT:
This rule may be interesting:

Code: Select all

x = 4, y = 8, rule = B3/S2-i34c5i
2bo$bo$b3o3$b2o$o2bo$b2o!
Eater 3 modification:

Code: Select all

x = 17, y = 17, rule = B3/S2-i34c5i
5b2o$6bo$5bo3b2o$5b2o3bo$8bo$5b5o$5bo4bo2b2o$8bo2bo2bo$8b2ob2o$5bo5bo$
4bobo4bobob2o$4bo2bo2b2ob2obo$5b2o2$3o$2bo$bo!
Relative, may be fun to search:

Code: Select all

x = 4, y = 3, rule = B34e/S2-i34c5i8
3o$o2bo$b2o!

Code: Select all

x = 41, y = 14, rule = B34e/S2-i34c5i8
37bo$2bo16bo16bo$bo16bo17b3o$b3o14b3o7$bo36b2o$2o16b2o18bobo$obo15bobo
17bo$18bo!
C/15 in close relative:

Code: Select all

x = 3, y = 3, rule = B34e/S2-i34cy5i7e8
bo$3o$obo!
EDIT:
Another circuit diagram rule:

Code: Select all

x = 12, y = 11, rule = B2ce3ai4a5a/S13-a4567c8
5b2o$4b4o$3b6o$2b3ob4o$b10o$12o$b10o$2b8o$3b6o$4b4o$5b2o!
Relative may harbor enormous figseeds:

Code: Select all

x = 11, y = 12, rule = B2ce3ai4a5a/S1c3-a4567c8
2bobo4bo$b2ob3o2bo$b7obo$b9o$b3ob6o$b10o$11o$11o$b10o$b2ob7o$b2o2b6o$b
o3bo3bo!
Population goes from 49 to 1200-ish:

Code: Select all

x = 10, y = 10, rule = B2ce3ai4a5a/S1c3-a4567c8
2obob2ob2o$2bo3bobo$ob4obobo$2bo3b2obo$o2bob3obo$8bo$o2bob2o2bo$2b3ob
3o$b2o3bobo$3obo2b2o!
From 48 to several thousand:

Code: Select all

x = 10, y = 10, rule = B2ce3ai4a5a/S1c3-a4567c8
2o3b2obo$o3bobo2bo$ob2obo$o3b2o2bo$2obobob2o$2b2obo2b2o$bo2b2o$b4o3bo$
obo2bob3o$2b6o!
From 57 to 5000ish:

Code: Select all

x = 10, y = 10, rule = B2ce3ai4a5a/S1c3-a4567c8
2b4obobo$ob3o2b2o$obobob2o$3obo2bobo$o3b3ob2o$o4b4o$3b2o2bobo$obobo3b
2o$3obo2b3o$ob3ob2obo!
From 50 to 10K:

Code: Select all

x = 10, y = 10, rule = B2ce3ai4a5a/S1c3-a4567c8
2obobob3o$6obobo$obo4bo$o4bob2o$b2o5b2o$bobobobobo$2obob2ob2o$obobo$2o
6b2o$obo2bob2o!
Cool & almost broke current record for final population of 10x10 soups but unfortunately becomes infinite growth.

Code: Select all

x = 10, y = 10, rule = B2ce3ai4a5a/S1c3-a4567c8
4b2o2b2o$2b3ob2o$o2b2ob3o$b4ob2o$o2b3obobo$2b5obo$o4b4o$2o3b5o$b5o2b2o
$bo6b2o!

EDIT:
Ah, 700K-ish!

Code: Select all

x = 10, y = 10, rule = B2ce3ai4a5a/S1c3-a4567c8
2o2bo2b2o$o2bob4o$6o$b3obobo$2o3bob2o$ob3o2b3o$2o2bo2b3o$ob3o2bobo$4o
2bo2bo$8b2o!
What is its fig index?


EDIT:
May be interesting rulespace to investigate.

Code: Select all

x = 3, y = 3, rule = B2ikn3aijn5ce7e8/S2ae3aijnr4aer5ain6-en7c8
2o$3o$2o!
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

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FWKnightship
Posts: 559
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Location: 我不告诉你

Re: Rules with interesting dynamics

Post by FWKnightship » September 6th, 2019, 7:26 am

An explosive rule with a 4c/22d switch engine

Code: Select all

x = 7, y = 7, rule = B3-cq/S2-i3ijnqr4ai
4b3o$3bo2bo2$bo$o$o$2o!
p2,p6,p9,p30:

Code: Select all

x = 59, y = 58, rule = B3-cq/S2-i3ijnqr4ai
obobo14bo$2ob2o12b2o2bo12bobo$20bo11bo2bo15bo5bo$2ob2o11bo2b2o10bobo
16bobo3bobo$obobo15bo30b2o2b3o$17b2o2bo30bo$19bo$56bo$51b3o2b2o$ob2obo
44bobo3bobo$2o2b2o45bo5bo2$2o2b2o$ob2obo5$2o2b2o$obo2bo$4bo$bo$o2bobo$
2o2b2o5$4b2o$3bo2bo$4bobo$bo2b2o$ob2o$o2bo$b2o5$2o$obo$2bo$2bo$3b3o$6b
o$5b2o5$2o$bo$bob2o$2bo2bo$5bo$4bo$5b3o$7bo!
c/2,7c/14,18c/36,32c/64,4c/10:

Code: Select all

x = 124, y = 20, rule = B3-cq/S2-i3ijnqr4ai
10b3o18b2o32bo3bo33b2o15bo$10bobo16b2o2b2o29b3ob3o30b2o2b2o12bobo$28bo
6bo28bobobobo29bo5bo11bo3bo$9b2ob2o14bo6bo26b2obo3bob2o27bo4bo12b2ob2o
$27b2obo2bob2o24b2o9b2o25bo2bo2b2o15b2o$28b2o4b2o26bobo5bobo27b2o$63bo
7bo$64bo5bo$10b4o$10bo2bo$56bo21bo$9b2o2b2o39b5o17b5o$53bo4bo17bo4bo$
53bo4bo3bo9bo3bo4bo$53bo2b2o3b3o7b3o3b2o2bo$54b2o5bo2bo5bo2bo5b2o$b4ob
3ob4ob3ob4o41bo5bo$bo2bobobobo2bobobobo2bo$4bobobobo2bobobobo42b2o7b2o
$2o20b2o38b2o7b2o!
28c/56 18c/36 backrake:

Code: Select all

x = 7, y = 2, rule = B3-cq/S2-i3ijnqr4ai
3ob3o$obobobo!
10-engine 8c/44d glider backrake:

Code: Select all

x = 95, y = 95, rule = B3-cq/S2-i3ijnqr4ai
62b3o$61bo3bo$61bo3bo$60b2o3b2o$61b2ob2o9b2o$75bobo$57bo17bob2o$55b4o
16b3o$54bo3bo12b2o3bo$54bo16b4o$54bo3bo14bo$55b4o$57bo$48b3o15b2o5b2o$
47bo3bo13bo2bo3bo2bo11b2o$47bo3bo12b2o9b2o10b2o2bo$46b2o3b2o10bo2bo7b
2o14b4o$47b2ob2o10b2o22bo2b2o3bo$61bo2bo20bob2obo3bo$43bo17bo23bo4b5o$
41b4o17bo23bobobobo$40bo3bo41b2o2b2o$40bo48b2o$40bo3bo$41b4o$43bo10b2o
$53bo2bo$35b3o14b2o$34bo3bo12bo2bo$34bo3bo11b2o$33b2o3b2o9bo2bo$34b2ob
2o10bo$50bo$30bo62bo$28b4o59bobo$27bo3bo60b2o$27bo$27bo3bo10b2o$28b4o
9bo2bo$30bo9b2o$21b3o15bo2bo$20bo3bo13b2o$20bo3bo12bo2bo$19b2o3b2o11bo
$20b2ob2o13bo2$16bo$14b4o$13bo3bo$13bo16b2o$13bo3bo11bo2bo$14b4o10b2o$
16bo10bo2bo$26b2o$8b3o14bo2bo$7bo3bo13bo$7bo3bo14bo$6b2o3b2o$7b2ob2o2$
3bo$b4o13b2o$o3bo12bo2bo$o15b2o$o3bo10bo2bo$b4o9b2o$3bo9bo2bo$13bo$14b
o3$8b2o$8b2o4bo$9b2o2bo$9bo3bo2bo$4b4o6b3o$4bo2b2o6bo$5b3o$6bo7$18b2o$
17bo2b2o$14b2o2bo2bo$14b2o2bobo$17bo4bo$16b7o$15b2o2bobo12bo$16bo2b2o
14bo$16bo2bo13b3o$17b3o!
EDIT:A glide-symmetric 18c/36:

Code: Select all

x = 24, y = 32, rule = B3-cq/S2-i3ijnqr4ai
10bo3bo$9b3ob3o$8bo2bobo2bo$8b3o3b3o$9bo5bo$5b2o11b2o$4b2o2bob2ob2obo
2b2o$3b2o2bo3bobo3bo2b2o$4b2obo2b2ob2o2bob2o$8bo7bo5$3b3o$6b3o$3b2o18b
o$bob2o3bo$o4b2o$bo2bobo$2bo4$20bo$22bo$17bobo2b2o$17bo4bo$16bob3obo$
17bo3bo$17bo2bo$18b3o!
10-engine 8c/44d spaceship:

Code: Select all

x = 80, y = 80, rule = B3-cq/S2-i3ijnqr4ai
59b2o5b2o$58bo2bo3bo2bo$57b2o9b2o$56bo2bo7b2o$55b2o$54bo2bo$54bo$55bo
2$66bo$65b3o6b2o$64bo3bo6bo$55bobo6b2ob2o$45b2o30b3o$44bo2bo4bo26bo$
43b2o15b2o13bo3bo$42bo2bo6bo6bobo13b4o$41b2o15b2o16bo$40bo2bo15bobo$
40bo19b2o$41bo$54bo$53b3o$52bo3bo$52b2ob2o$41bobo2$32b2o14b2o$31bo2bo
4bo7bobo$30b2o14b2o$29bo2bo6bo7bobo$28b2o18b2o$27bo2bo$27bo13bo$28bo
11b3o$39bo3bo$39b2ob2o3$28bobo4b2o$18b2o14bobo$17bo2bo4bo7b2o$16b2o16b
obo$15bo2bo6bo9b2o$14b2o$13bo2bo$13bo15bo$14bo13b3o$27bo3bo$27b2ob2o3$
14bobo6b2o$22bobo$5b2o14b2o$4bo2bo4bo9bobo$3b2o18b2o$2bo2bo6bo$b2o14bo
$o2bo12b3o$o14bo3bo$bo13b2ob2o3$11b2o$bo8bobo$o8b2o$o2bo6bobo$b3o7b2o$
2bo5$10bo$10b2o3b2o$16b2o$13bo2bo$13bo2bo$13b3o!
I'm too shy to talk to other members.
But I want to upload my apgsearch results to Catagolue like others.

Code: Select all

x = 12, y = 1, rule = JvN29
FWKNIGHTSHIP!

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toroidalet
Posts: 1124
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Re: Rules with interesting dynamics

Post by toroidalet » September 6th, 2019, 8:00 pm

Moosey wrote:EDIT:
Ah, 700K-ish!

Code: Select all

x = 10, y = 10, rule = B2ce3ai4a5a/S1c3-a4567c8
2o2bo2b2o$o2bob4o$6o$b3obobo$2o3bob2o$ob3o2b3o$2o2bo2b3o$ob3o2bobo$4o
2bo2bo$8b2o!
What is its fig index?
With a final population of 774,177 (all sufficiently large odd generations; 1 higher on evens) and time to stabilisation 5,395 generations and an initial population of 54 (some cells can probably be trimmed), the fig index is about 2.657.

This one (final population 1,789,214-1,789,223) has a fig index of about 4.93:

Code: Select all

x = 10, y = 10, rule = B2ce3ai4a5a/S1c3-a4567c8
bobo2bo$b7o$o2b2o$2o2b2o2bo$2b3ob3o$2b2o3b3o$ob2o2b2obo$bobobobobo$b6o
bo$b4ob2obo!
FWKnightship wrote:10-engine 8c/44d spaceship:

Code: Select all

x = 80, y = 80, rule = B3-cq/S2-i3ijnqr4ai
59b2o5b2o$58bo2bo3bo2bo$57b2o9b2o$56bo2bo7b2o$55b2o$54bo2bo$54bo$55bo
2$66bo$65b3o6b2o$64bo3bo6bo$55bobo6b2ob2o$45b2o30b3o$44bo2bo4bo26bo$
43b2o15b2o13bo3bo$42bo2bo6bo6bobo13b4o$41b2o15b2o16bo$40bo2bo15bobo$
40bo19b2o$41bo$54bo$53b3o$52bo3bo$52b2ob2o$41bobo2$32b2o14b2o$31bo2bo
4bo7bobo$30b2o14b2o$29bo2bo6bo7bobo$28b2o18b2o$27bo2bo$27bo13bo$28bo
11b3o$39bo3bo$39b2ob2o3$28bobo4b2o$18b2o14bobo$17bo2bo4bo7b2o$16b2o16b
obo$15bo2bo6bo9b2o$14b2o$13bo2bo$13bo15bo$14bo13b3o$27bo3bo$27b2ob2o3$
14bobo6b2o$22bobo$5b2o14b2o$4bo2bo4bo9bobo$3b2o18b2o$2bo2bo6bo$b2o14bo
$o2bo12b3o$o14bo3bo$bo13b2ob2o3$11b2o$bo8bobo$o8b2o$o2bo6bobo$b3o7b2o$
2bo5$10bo$10b2o3b2o$16b2o$13bo2bo$13bo2bo$13b3o!
6 engines:

Code: Select all

x = 53, y = 53, rule = B3-cq/S2-i3ijnqr4ai
34bobobobo$33b2o5b2o$32b2o7b2o2$30bo5bobo$29b2o6bo$28b2o2$28bo3bo$33bo
$28bo3bo$39b3o5b2o$28b2o9bobo5bob2o$18b2o5b2o2b2o8bobo5bobobo$17bo2bo
3bo2bo2bo21bo$17bo2bo3bo2bo21bobo$17b2o7b2o6b3o12b2o$14b3o17bo$13bo2bo
17b3o$13bo$14b2o4$14b2o15bo$13bo16b3o$13bo2bo12b2ob2o$14b3o$6bobobobo$
5b2o5b2o12bo$4b2o7b2o10b2o$24b2o$2bo5bobo14b2o$b2o6bo16bo$2o14b3o$16bo
bo$o3bo11bobo$5bo$o3bo$11b3o$2o9bo$b2o8b3o$2bo5$11b3o$11bo$12b2ob2o$
12bo3bo$13bobo$14bo!
In accordance with this being a numbers post (as in one containing lots of numbers outside of rles), this is my 1,000th post!
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

melwin22
Posts: 31
Joined: September 9th, 2017, 5:40 am

Re: Rules with interesting dynamics

Post by melwin22 » September 8th, 2019, 3:07 pm

Smaller Fig index (about 1.67), but MUCH more complex behaviour

Code: Select all

x = 10, y = 10, rule = B2ce3ai4a5a/S1c3-a4567c8
6o2bo$3ob6o$b9o$4o2b4o$4ob5o$ob7o$2b5ob2o$3ob2obobo$2ob7o$b2ob6o!
Also, "Fig index" seems to be a parameter created and used only on this forum, only on one topic. Why does it matter?


melwin22
Posts: 31
Joined: September 9th, 2017, 5:40 am

Re: Rules with interesting dynamics

Post by melwin22 » September 9th, 2019, 4:55 am

Yeah, that page... Contains very little information though. All pages in "learn more" section don't exist. Fig index is used only here, in "Non-totalistic CA Growth Challenge" and nowhere else. Why?

Also, how high Fig index a pattern should have to consider it "worth noticing"?

User avatar
testitemqlstudop
Posts: 1366
Joined: July 21st, 2016, 11:45 am
Location: in catagolue
Contact:

Re: Rules with interesting dynamics

Post by testitemqlstudop » September 9th, 2019, 9:01 pm

Why?
Because of little publication.
Also, how high Fig index a pattern should have to consider it "worth noticing"?
Record-breaking, I guess?

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Hdjensofjfnen
Posts: 1571
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Rules with interesting dynamics

Post by Hdjensofjfnen » September 16th, 2019, 8:14 pm

This rule isn't explosive? Say what?

Code: Select all

x = 4, y = 3, rule = B3-cny5ek6n8/S2-i3-ce4iz6n
2bo$b3o$2obo!
However, this rule is. And most of the rules surrounding this one.

Code: Select all

x = 4, y = 3, rule = B3-cny5k/S2-i3-ce4iz6n
2bo$b3o$2obo!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

User avatar
Moosey
Posts: 3394
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

Re: Rules with interesting dynamics

Post by Moosey » September 29th, 2019, 10:14 am

What's the inverse of this rule?

Code: Select all

x = 50, y = 50, rule = B2c3an4ace5acir6ac78/S01c2aen3aij4aejrwz5-ejkr6ac7c8:T50,50
50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$
37ob12o$50o$50o$50o$50o$50o$50o$32o3b15o$31obo3b14o$32o4b14o$50o$50o$
50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$
50o$50o$50o$50o!
EDIT:
This is the most unusual eating reaction I've ever seen.

Code: Select all

x = 50, y = 51, rule = B2c3an4ace5acir6ac78/S01c2aen3aij4aejrwz5-ejkr6ac7c8:C50,51
50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$
50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$
50o$50o$15o2b33o$15o3b32o$15o3b32o$15obob32o$16ob15o3b15o$32obob15o$
32o3b15o$50o$50o$50o$50o$50o$50o$50o$50o!
Linky linky link!

Code: Select all

x = 50, y = 51, rule = B2c3an4ace5acir6ac78/S01c2aen3aij4aejrwz5-ejkr6ac7c8:C50,51
50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$
50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$15o3b32o$15obob32o$15o3b32o$
50o$50o$50o$50o$50o$50o$15o2b33o$15o3b13o5b14o$15o3b13obobob14o$15obob
13o5b14o$16ob33o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o!
Why am I doing this on a cross surface

Infinitely many bubbles:

Code: Select all

x = 50, y = 50, rule = B2c3an4ace5acir6ac78/S01c2aen3aij4aejrwz5-ejkr6ac7c8:T50,50
50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$
50o$50o$50o$50o$50o$50o$31o2b17o$30o4b16o$29o6b15o$28o8b14o$27o10b13o$
26o12b12o$26o12b12o$26o12b12o$26o12b12o$26o12b12o$26o12b12o$26o12b12o$
26o12b12o$26o12b12o$25o6bo6b12o$25o5bobo5b12o$25o4bobobo4b12o$25o3bobo
bobo3b12o$25o3b2obob2o3b12o$25o3b3ob3o3b12o$25o3b7o3b12o$25o3b7o3b12o$
25obob7obob12o$26ob9ob13o$50o$50o$50o!
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

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GUYTU6J
Posts: 1131
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA!

Re: Rules with interesting dynamics

Post by GUYTU6J » September 29th, 2019, 12:49 pm

Code: Select all

x = 534, y = 309, rule = B2kn3-ekq4i/S23ijkqr4ikr
168b5o3bobobo4b3obo5b2ob3obo2b4obo4b2obo2b2ob2o4bo3b5o3bo3bo2bob3obob
2ob2o2b2o3bo4bo2b2o4bobo2bo3b3o4b3o3bo3b3ob2o4b2o2b3o2b2ob4ob4o2b4o3b
2o12b2o6b2ob2obo4bobob5o3b2ob4o3b2o2b2ob3o4b2obob2o2b3o2bo5bob3obo3b3o
bo2bo2bo3b2obo2bo4bobob2o2bo5bobo2b4obobobo3b3obo6bo5bob7o$168b2obo3bo
bobob2o3bo2bo6bobo4bobobobob4ob2ob3o2b2ob4o3b2ob4ob3o2b2o3b3o2b2ob3ob
8ob2o3bo2b3ob2obob2o2bo2bob6o3b5ob2obob2obob4o2b2o2b3o2bo2b2o3b3obobo
2b2ob2obo2b2obobob4obo2bob3ob3o2bo4b3ob2ob3o2bo2bo3bo3b2o2b2ob3obo2bob
o4bo2b2o3b2o2b3o2bob4obo2b2ob2ob5ob3ob2obo2bo2b2ob2o3b2o3b5ob2o2bobo4b
2o2bobo3bo$168b2o2b4o3bobob4o2bobo2b3o2bobobo3bo4b3o2bob3ob4o2b2o2b4o
5b2ob2o2b2o2bobo3bo2bob2obobo2b5o2b3o3bo5b3obo3bo2b5obo3b2ob3obobo6bob
o2b2o5b2ob2o4bobobob5obob2o2bo4b4obobobo3bobo5bobo3b2o2b2ob2ob3o3b5o4b
3ob5obo3bobobob2obobobobob3obo2b4o3b2o2b2o3bobobo2b4ob2o2b2ob2obo4bo5b
o2b4o3b2o2bo2b2ob2o$170b7o2bo2bob4o2bobo3b2o5bo2bobob2o3bobo2b2ob5obo
2b4ob2ob3ob3ob5o4b2o4b3o3b2obobob3o4bo2bob3o3b11ob2ob2o3b3o3b2o2b2o5b
3o2bo2b4o3bo2b8obo2bo2b3o3bo2bo3b5obob2o3bob2obob2o2bo3b3obobo3bobo3bo
3bobobo4bo4bo2bo7b3o5bo4bo3b4ob3o2b6ob3o2bo3b2ob2obo10b3o2bob3obobo2b
5obo$167b2ob2o6b8o2b2o4bob3o2bob9ob2o2bob2o7bobo2b4ob2o3b2o3b3obo2b2ob
2o6b7o2bob2ob2obo3b4o2b5obo2bo2b4o4bobo2b3o4b2ob3o3b6obob3obo2b7ob4ob
2o2bobo3b2o3b2obobo8b3obo3bo3bobob2o2b2obo2bobobobo2b2obo9b4obo4b2obo
2b2obob4o2bo2b2ob4o3b2ob2ob3o4bo2b2o3b3o6bobobob4ob4o3b2obo$168bobobo
2bobo2bo2bo4b2o2b5o2b2obo2b2o9bob2o5b2obo4bob3ob2obobo3b4obobo2b2obobo
2bo2bobobob2o5bob6ob2o2b2ob2obob4o3b2obob2o2b4o2b2obo3bo3b2ob3obobob2o
bob2o2bo4bob4ob4ob2obobobo6b5o6bo3bo2b3o3bo8bobobo2b2o2b2o4bo2bo2b3o4b
4o2bo4b3obob2obobo2b8o3bo4b2o4b3o2bob4o6bo2b2o3b3o2bobobobo$173b2obobo
bo3b3obo4b2ob2ob2ob3o2b2o4bo2b2o3b3o2bo2bobob3o2bobo2b4o2b4o3bobobo2bo
2bo5bob2obob2ob4ob2obobobobob3ob6o2b5ob3ob3ob4o2b3o3bob3o2bo4bo4bo2bo
3bob2obo3bo3b2o2b3ob2obob2o2bo2b2ob2o2bobo3bo2b3o2b7obo2bo3bobo2bo6b2o
3bobob2o2b3obo2b3obobobob2o2b2o2b2o2b2o2bo3b2ob4o5b2ob4o2bo2bobo2b6o3b
2o$167b4o2b2o9b2o2bo2b2o2bo3b4ob3o3bo3b5o2b2obo3bobo3bo2bob5o2bobob2ob
obo3b4obob2o2bo2bo2b2o2bob2o2b2o3bo2b8o3bob5ob3o2b8ob3o4b4o4bob4o2bob
2ob2obo4bo4bob4o2bobo2bo2bob2obobobobob4o3b2o2b2ob5ob2o3b2o3b2o2bo2bo
2b3o5bobo3bob2ob2o3b2o5b6o4bo4b2o3bo2b2obo3bo2bobob2obo7b2o4bo5bob2obo
$167b2obo5bob4o2b2o5b2o2bo4bo4b2ob2o3b2obob2ob4obo2b4o2bo4b3o3b4o3bob
2o4bob3o2b4obobo3b2o2b3o2bob3o2bo4b4ob2o2bo5b3o2bob5ob3obobobob4ob3o8b
ob2obo3bob2obobobo3b2o2b4ob2o2bo3b5o2b4obo4b2o2b3o2b3o7b3o3bo2b2obob2o
5bob8obo3bobo5bobo5b3ob2ob2ob2o2bo2b3o2b2ob2o2bob3o4b2o2bo3b3o2bo$167b
2o3bobob3obob3o4b2o2b6obo2b4obobo4b2o2bo2bobo2bobob2ob3ob5o8bo2bo2bo2b
2o2b2o3bo2bob2o3bob4o4b4o3bo5b5obo4b2ob2o3b2o2b2o2b2o2b2ob2obob2o2b2ob
obo2b3obobob3obo2b3o2bob2ob2ob2o6b2o2b5o2b5o3b7o2bo6bo2b2o2b3ob2obo2b
4o2bobob5o2bo3bo2bo3bobo3b4ob2o2b2ob3obo2bobob2ob5o4b9o4bobo2b2o3bo$
167bo3bo2b6o4bo3b2ob5o3b6o3bobob7ob4ob3obobo2bob2o2b2obo4bo4b2ob5ob2o
3bobobobo3bobo5b2o2bo2bo2b2obobobo2b2o4b2o2b2o2bob4obo6bobo4b2ob3obobo
bobob4o3bobob2obo3bo3b2o2b2o4b3o3b2obo6b5obo3bo5b2o2bo3bobo3bo2bobo3bo
5b2o3b3o3b2o4b2o2bob4ob2obobob2ob2ob2obobob2obob2ob2o2bo3b2o3bobo2b4o
2b2obo$169b2ob2o2b2ob2o2b5o2bo2b2obo3bobo8bob2o2b3o3bob3o3b3o2bobob2o
3bo3b2ob3o7b4ob4obo8bob4o4bo5bo3bob2obo2bobo2b2o2b5o3bob2o2b2obob3ob2o
bo2b2o6b2o2b2o2bob2o3bo3bob2o3bo7bo2b2o3b2o2bo2b2o3b2o3b4o2b4o2bo2bob
2o2bo2b4o4b4obobo2b2obob4o3bob2ob4o2bob2o3bo2bobo2b8ob4ob2o2bobob3ob2o
3b3o3b2o$169b2o9b3obo3b5obo2b2o2b10ob2ob2obo3bobo3b4o3bo3b4o2b2ob7o2bo
2bo5b2o3bo2bo3bo3bob4o4b5ob2obobo2bo2b3o2bo2bobob2obo3bob2obo4b2o6bobo
b6obob2o3b3ob2obo2b2o3b2o3b3ob2ob5ob2obob2o2b4obo2bo5b3ob3o3b2o2b2o3bo
bob3o3b2ob3obo2b7ob3obo5bo2bo2b5o2b3obo2b3ob2ob2obobobo3b3o5b2o2bo5bo$
167b3o2bob3o3b6o2bobo3bo3bobobo2bo2b3o2bobobobobob4ob2o5b2obo11bo3bo2b
2ob3ob3obob2o2b4o2b4ob4ob4o3b3o4b4obo3bo3b5o3b5o2bo2b6o3bo2bobo2b3obo
4b2o2b3obobobo4bo3b2o2b2obobo2bobob5o6bo2b5ob3ob2o2bo2b2obo7bob4o2bobo
2bo3bob2ob4o2bob3ob3obo3bo3bo4b2o3b3obo2bo3b3o5b2o4b2obobob4o$167bo3b
2ob6o3b2ob2o3b3obob2ob2o2b3ob2o4b2obo2b2obo2bo2bobob5ob2ob2ob3o6b2o2bo
3bob2obob4ob3ob2o3bo2b7o2bo4bo2bo6b2o2b2ob3ob2o3bo3b2obo4b2o4bob3o5b2o
3b2obo2bob3o3b4o2b2o4bobo2b3o6b3o2b2o4b4obo2b6o2bo2b3obob2obo2bob2ob3o
2b2o3b2o3b2ob5obob2obobo3bo2b2o2b3o3b2o4bob2obobob2ob2obo2bo2bo2bobobo
bob2o$167b2o3b4obobobo3bob5o2bobobo2b6obo3b2obo2bob2ob2ob2o2b2o2b3o3bo
3bo2b3o4b4obobo3bo4b2o2bob2ob2ob2o2b2o3b2ob5o3b3o2b6obo5b2o2b3ob3ob2ob
o2bo3b2obo2bobo2bo4bobo2bo2bo2b2o2b2ob4ob2obobo3b3o2bob2ob2o5bo2bobo5b
ob2o4b2o2bobobo2b2o5b3ob3o5bo2bobo3b3o2b2o6bo2b4ob4ob2o2bobobo4bobobo
4bobo2bobobo2b2ob4o$168bob2obo2bobob2ob4ob2o7b2o3b3ob2o2b3ob6o2b5obo2b
ob2o6b2obo3bo2bo2b4obob2ob2o5b2ob2obo2bobob3ob2obo3b6ob7obobo3bo2bob
10ob2o4bob2o2b3o2b5o3bo2bobobo2bobo4b2ob2obobo2b2o2bobob2obob3o2bo2bo
5b2o2bobo2bob2ob2ob2o2bo2bo3b2o6bo2b2o4bo2bob2obo4b2o5bobo2b3o2bo2b4ob
ob2o2bo2b4ob4ob2obobo2b3obo4b2o$167bo8bo2b2o4bo2bo2bo3bobobo2bob3ob3ob
2ob7o4b3obobo2b6obobobobobob2obob7o3b2ob6obob2o3bo5b2o2b3o3b2ob4obo2bo
4bo2b2obob2ob4o2bob3ob5ob2o3bob2o4bob2o2bobo5b2o6bob5obobob7ob5o4bobob
2ob3o3bobo2bob3ob4o3b3o4b4o3bobo7bobobo3bo2bob4o3b2o3b3obob2obobo2bobo
b2o2bo2bobob2obo3b4obobo$167b2obob5obobob3o4bobob2o4b3o5bo2bo2bobo2b9o
b2ob5obo2b3ob3o2bobo8b2ob2ob5ob3obo2b3o2bo3b2ob2o3b2ob2obo2bo2b3o2bobo
5bo4b2ob2obo4b2obob2o3b2obobo3b2o4b2o2b2obobo6b3o2b5o2bo3b4o2bo5bob5ob
2ob2o2bob6o4bob2obobo2b2ob2ob2obob4o4b2obo2bobobobo3bo2bo2bob5o6bo6bo
2b4o2b3ob3ob2ob3o5b2o$169b2o3bobo4b2o3bo2bobo3b2o2b3obob4o6bo2bo2bo5b
2ob4o3bobobo8b2o4b2ob2o6bo2b5obo2bo2bobo2b4o2b2o2b6ob3ob6ob2o2b2ob5obo
b2obo2bo3b4ob4ob2obobo4b2ob2ob4ob3o3b7obob5ob2ob3obo4b5ob2ob5o5bob2o6b
3o2bo2b3obobo2bobobo2bo2bob3ob2o5bo2b2o2b2o6bob3o3bo4b5o4bobo2bobo2b5o
b7o$169b4obo3b3ob3o2b2ob5obob3obob2o4b2o2b3obobo3bo5bo2b2obo3bob3o2bob
o3bobobo3b2obob2o2bo3bobob4obo3b2o2bo2bob2ob3obobobob4o6b2ob3o2b3obob
5o3b2o2b7ob2ob5o5bob3o4b2o7b2o3b4obobo3b2obo2b3o4b6ob4o2b5obobo2bob2ob
2ob3o7bo3bo3b3o2b2obo2b2o3b2o5bob2o5bo5b4o2bobobo6b6ob2o3b4o$167b2ob3o
3b3o3bob2o5b2obob3o2bobo2b5o4bobo2bob2o4bo2bob3obob2o3bo2bob3o2b2o2b4o
b5ob2o2b2o2b3o2bobobo2b9obob2o2bobobobob3obo4bobob5o2b2o2bo3b2o4bobo2b
o2b3o2bo4bo4bo2b2obo6b3o4b2obob5ob2ob3obo2b3ob2ob5o4b2o2bo3bobobobo2bo
b2o2bo3b2o2bobobob2ob4o2bobo2b3o2b3obo9bo2bo6bo2b4obo2b3o3b2obob5o$
168b2ob7obob2o2bo5b2obob8obo2bo2b3ob2obo2b5o2b2o2b3o2bobo3b2o3bo3bob2o
5b2o2b3o2bobo3b5o2bob6obobobo3b2obo2bo4bo2b3obo2bo3b7obobo2b4o2b4o2bo
2bo5b2o2b2o2bob3o3bobo7bobob4o2bobo3bob2o2bo2bobobob2obobobobobob2ob3o
bob3o3bo3b4o2bob7obo2bob2obo4bob2o2bob5obob2ob2o3bo2b2o2b2o3b2o2b11ob
5o$169bobobo2bob3o2b6obobobo2bo4bo6bob6o2bobo2bo5bo5b5o2b5obo3b2ob3ob
4o3bob2o2bob3o3bob5ob4obobo2b2ob2o4bobo2bob4obob4o2b2ob2obob2o2bob5ob
2obo5bob4o2bob4ob2obobo2b2ob8o4bo2bo3b3o2bo2b5o2bobobob2o3b2ob4obo2b3o
bo3bobo2b3ob6o7b2ob2obobo8bobob3o2bob2o3b3ob8ob2o2bobob2o4bo2bo$167bob
o3b6o2b2ob2obobob2o2b2obo2b3o3bob4ob7o3b2o6b6ob3o2bo2b3o10b3ob2o3bo2bo
bo2b2ob7obobob2o6bo2bob5obo2bobobo5b2obo4bo3b2o2b3o3b3ob3ob3obob2o2bo
3bob2obo2bo2b3o3b2o2b2obo3b2o2bobo2bo3bobo3bo3bob2o5bo4bob10ob2o2bobo
2b4o2bo3b3o3bo2bobobobobo3b4o4b2obob2ob4ob2ob3o2b2o5bo2b4o2b3o$167bob
2o2bobob3obo7b2o2bo3bobob4obo2b2o2b2obo2bo5b3ob2o2b2ob2o2bo5b2ob3ob2o
2bo3b6o3bo2b2ob2ob2o2b2ob2o2bob4o4bobob2ob2o8b2ob2o2b3o2b4ob3obo2bobo
2bob8ob3obobobob3ob2o2bob3ob7o3bob2o4b2o4b4ob3ob2ob3obob2o2b2obo4bo4b
2obobo3bo2b2obo7bobo3b2o2bobob5ob8ob2obob2o2b4ob4ob2o3b2o2bo3bo2bo3b3o
$167bobo6bo2bo7b2obo2b3o3bo4bobo2b3obob4ob2o4bob3obo4bob2obo3b2ob3ob5o
b6o2bob2obobo5b2obobo3bo4bo2bo2b3ob2o5bobo6b2ob2o2bo2bo3bob2obobob3obo
bo5bo2b2o3b3ob3o8b7o2bo2b5ob2ob3o2b2ob2ob2o9bob2obobobobo2bo5bob2ob2ob
o3b3o2bobo5b2ob4o4bobob2o2bo3b2obobo5b4ob4o2b2o2b3o2bobob7o$167b4o2b3o
2bobobob4ob7o2bob2o2bob3obobobo2b2obobo2bobo4bobob2o4b2obob2o2bo2bo2bo
bob3o2bo2b2o5b3obo3bo3b2ob2obobobo3bo2bobob3o3b3ob6o3bob2o2b5ob2o5b2ob
o4b2o2b2obob3ob2o2b2ob2ob5obob2obo2b5o2bo5bo2b8o2bobobo2bobo2bo2b5ob2o
b2o2bob4o3b2o2bo2bobobo2bobo2b4ob2ob2ob2obo7b8ob2o2b2obob3o2b2o3b2ob2o
2b3o$169b2o2b2ob4o4b3obo3bobob2o5bo2bo3bobo6b6ob2obo2bo3bob2o4bob5o5bo
b3o3b5o2bo2b6o2bo4bo4bo2bob2ob2obobob4o3bob3o3b2obo3b2ob3obobo3b2obob
2ob2ob3o3bob3obo4b2ob4o2b2ob2o2bo2b3ob4obobo2b4o3b3ob2obo2bo4b3o2b4ob
4obo5bobobob5o2bo4b2o5bob2o3bobob2o3bo5bob2o4bo3b5o3b3o2b2o2b4o3b2o2bo
$167bo4b4o2bo2bo2bob3o3bo2b2o2b2o3b4o7b2o6bo3b2obo3bobob8o3bo2bo2b2obo
b2o3bobo2bo4b2ob8ob2ob3obobobobobo5bo2b2o2b6ob3o4b6obobobo4b2ob5o4bo3b
obo2bob3o4bo2b2o5b2obo2bobo3bo2bo2b2ob2ob4o4bob2obo8bo3bobobob2o2bob3o
b2o4bo2b2obo2b2ob3ob3o2b3o3bobo3b2obo3b4o2b2o2bo4b2o7b3ob8o$167b3obo2b
obo3bob5o3b2ob4ob4ob3o3b6o2b2o4b6o3bo3b2o2b3ob8ob3o2bob3o2b3ob2o2bob2o
b2obo2b4ob5o4b2o4b2o2bo2b6o5bo2bobo3b2o3bo3b3o2b2o2b3obob2o5b2obo3bo2b
2obob2ob3ob3ob2o4b2o2bo2bobo2bo3bo2b3ob2o4b4o2b5o3bo3bo2bo2bob3o2bob3o
2bobo3bo3b2o4b3obob2obobo3b2o5b2obo2bo4b4obo2b9obob3o$167b2ob3o6bobo4b
2o3b2o2b2ob3o2bobo2b2obo4b3o4bo3b3obo4b2obobob2obo3b2o2b3o2bo3b3o3b2ob
2obob3ob2ob2ob2o2bobo4bob2o2b7ob2ob2ob3ob3obob2o2b2ob2ob2o4bo2b3o3bo6b
4o2b2ob5o6bob8o4b4o3b5o6b2o4b3obo4bo2b7ob8o3bob2obob2o3b3obo5bo3bob2ob
3ob2o4b3o2b2ob2o2bobo2bobobob5o2b2ob2o2bobobobo$167bo2b2o4b2ob3o2bo13b
3obo2bob2ob3obo2bobo2bob6ob5ob7obob5o3b3ob4o3bob3obo2b2obob4ob4o2b2o2b
o2bo3b2obo4b4obob4obob2ob4o3b4o4b3obob4ob2obobob3o3b7ob2o4b2obobo3b2ob
2obo5b4obobo2bo3b2ob2obob3o2b3ob6o2b2ob4o3b4obobo2b6ob4ob2obo2bob4o2bo
bo3bo3bo3bo2bo2b2o2bob3o4b2o2b5obo2b2o$168bo3bo4b2o2b3obobob3obobo2b2o
2b3o2bo5b4o4b4obo3b3obo2bo2b3o4bo3bob3obo2b2ob7o3bo2bo3bo2b2obo2bobo2b
3o5b3obobo3b4obo2bo4bobobob2o2bob3o3b4o2bobo7bobob2o2b2obo2bo2bobobobo
3bob6o4b2o3b3ob3ob3obobob2o2bob2ob2obob2o2b2o5bob3obo2bo3b2o2b2ob3o6bo
3bo2bob2o7b2ob2obobobo2bo2b2ob2obo2bob4ob4o3bo$167bo4bobob2ob3obo2b2ob
2obobobob3ob3ob2o3b2obo2b2o4b2ob2obobob2ob2ob2ob3ob2obo2b4ob3ob4obo2bo
5b2ob3obo4bob4o2bo6bo2bo2b2o2bobo2b2o2bobob4ob3obo2bob2obob5o3bo2b2o3b
2ob2o3bo2b4o2b2ob4o5b3o4b3o2bob3o2bob3ob2o5b2obo4bo2b3o3b3o3bob4o2b2o
3b2o3bo5b3ob2obo8bobo2b4o4b5ob3obo4b3obobo3b3obobo4bo$167b3o5bo2bob2o
2bo6bobobob2obo2bo2b2obo2b2o3b2o4bob3obobobo5bobob4obobob2obob11obo2bo
b4o3b2ob3ob3o3b2o2bo2bo2b3o5bo4b2ob2o3bob2ob4o2b2o3b2obo3bobo2b2obob2o
2bo5bo9bo2b7ob4o2bo2bob6o3bobo3bo6bo3b2o3b5o2bo2b3obob2ob3o5b3o4b6ob5o
bo2b6o3bob3obo2bobo3b2ob2o4bob5o4b2o2bo3bo$168b2obo2b5o2b2o2bobobo2b2o
3bo8b3o3bo2b2o2b3o2bobobo2b3o2bo2b3ob2ob6o4b3o3bob4o3bo2bo4bob3ob2ob2o
3b2o5b4o2bob2o2b2o2b3obobo2b3ob2o3b3o5bobob2o2b6o5b2o5b4ob3obob5ob7ob
2o3b3obo3b2ob2ob2ob2ob2obo7bo2bo2bobo3b3ob4o2bo2b2obo2b3obo3bob5o2bo2b
2o4b2ob5ob4o2bo2b3o2bob5ob4ob2ob2obobo$169b3o2b2o2bob2obo2bo3bo2bobo3b
5obo2b3o3b4o2bob4ob2o2bob3o2bo3bo3b4o2b4obobob3ob2o6bob4o2bob2o3bo5bob
2ob2ob2obo3b2o6b3o2b3o5b3o2bo2bo2b4ob3o6bo4bo6b2obobob9ob2ob3o4b2ob3o
5b5ob4o3b3obob2o3bob2ob2o5b2o2bob6o2b3o4b5o2b2o2bo2b2o3b3o2b2ob6ob7ob
3o3bo2b2obob2o3b2obob5o$170b2o2b2obo2bo2b3obob2o9bo5b2o3bob3obo2b3ob2o
b8obob7o4bo3b3obobobobo2bo2b2ob2o2bo2bob2o4b2ob5obo2b3ob2ob4ob2ob2o2b
2obobo4b2ob2ob2ob3o2b2o2bobob4obo2b2o2b5o3b2o3bo2bob3obobobobob2o2bobo
bo2b2o6b2ob11o2b2o3bobo3bob2obob4ob5o2bob2o2b7o5bo2bob3obo3bob2ob2obob
2ob3ob3o10b2ob2obo3b3obo$167bobo2bobo2b2ob5ob2o3b2o3b2o3bobob2o2bo2b3o
2bo4bobob2o3bobob7ob3ob2obo2bo4bo4bob2o2b2obob2o3b3o4b3o4bob6o2bobobo
3bob2obobo3bobobobo2b2o2bo2bo2bo2bobo3b2ob2ob2ob5obo2b2o3b3o2b3ob3ob5o
2bo2bo3b2obob2o2b7ob3obo2bo3b4o3bobob3ob2o2b4ob2obob2ob2obob4ob2obob6o
bo2bob3ob3o2bobo3b2o5bobo4bobobo4b2o2bo$168bobo4bobobobo5bob3o3bo4b3ob
o4bo3bobob2ob5o2b5ob2ob4o3bob4obobobo3b4obo3b2o4bo2b2obo3bob3ob3obobo
2b13ob2o2b3obo2bo2bobo11b2o3bo2bo2bob6obob2o2bobob2o2b4ob3obo2bobo2bob
3obo2bo2b3obob3obo2b2ob2o2bob3o2b2o2bo2b3ob3ob2ob3obobo2bob3o2bo3b3o3b
2o5b3o2b2ob2o2bobob2o2bo3b2ob2o3b3obob4o6b2obo$171bobobobobob3o2bo4bo
2bo7b2o3b2obob3o2b6obo2b2ob2o2bobob2o2bob6o2bobo2bobo3bob3ob2ob2ob4ob
4o2bobobo3bo3b3ob2o2bobob3o3b4o4bo2bo3b5ob2o3bob2o5b2ob2o2bob4o2bo2bob
2o3bob3o6bo2bob2o6b3o2b3obo3bobo4bobob11o2b2o2b3ob2ob2obo2b2obo4bobo2b
2o2bo2bo4bob4ob6o3bobobobob5o2b3obo5b3o8b3o$167bo2b2ob3o2bobobob2o2b2o
b2obob2o3bo2bob3o2b2o3bo2b9o4bo2b2o3b4o3bo2bo3b4ob7ob5obob2obobo3b2o3b
ob2obobob2ob6obob5o4b2o2b2o3b4o2b2o5b3o3bo4b2o3b2obo2b2ob3o4bo3b2o2b3o
b3ob5ob2o3bo2b2o2b3obo3bobob4o2b3ob3o2bob3ob3o3b2ob4o4bob2ob2o2bo4b3o
2b4o7bo2b2o2bobo4bobobob2ob2o2bo2bobo2bobobobo3b2o$167bo3bo7bob3ob3ob
2o5bob3ob2obo2b2o2b2obob3ob2ob2o2b6o4bobo2b6o4bo5b2obo3b3obo2bo3bob2o
4b3ob2o2bo2bobo3bob4obo5b2obo2b2obob2ob4o2b2o2bo2b3obob2ob2o3b2ob4ob2o
bo2b4o6b5o2b2o2b2o2b2obobo3bobo3bo2b2obo3bo2bob3ob3o3b2ob3ob3o3b2o2b2o
2b2o2bo6b5obob2obo4b2o2bo2b2o2bobo2b3o2b3ob7obob2obo2b2ob2o2bobo$167b
2o2b6o2bobobo2bobo2b2ob3o3b2o3b7obo2bo4bo5b3ob3o3b2o4bob6o5b4o7b8ob3o
2bo3b4obob2o4bobo3b2o4b2o3bo2b3o2b3o2b5o2b2o3bobo3b9o3bobo2bobob2o2b3o
2bo2b2ob5o2bo2b3o3bo2b3obob4o2bob2obob3o3bo2b2ob2obo3b2obobobobobo4b2o
bobo3b3obo4b5ob2obob4o4b3ob2o6bob2ob5obo2bo2bo2bob4ob2o$170bo2b3o3b2o
4b2o5b4o2bo5b3ob8o3b2o3b2ob5ob2obob3obo5b2o3b2obobo7bob2ob2obob3o4b2o
6bo4b2obo3b2obob3ob2o3b2o2b4o3b4o4bob3o2b3o3bob2ob2obo5bo2bob2ob4ob2ob
2o2b3o4b4ob2ob3o3bo2bobo2bo4bo2b2o3bobob3o8b7ob2o3bo3bo2b2ob3o2b2o2bob
o2b4o4bo2bobo2bobo2b2obo6b3o2bob5ob4obo2b5o$170bob3o3b7o3bob2o2bo3b3o
4b3obob3obo2bo3b4o3b2obo4bobo5bo5b5obob4obob2ob2o4b2ob2obo2bobo2b2o8b
4o2bobobo2bo5b3ob3o3b2ob5o3b2o3bo3bobo2bo2b2o5bobobo7bo2bo2b3o6b4o5bo
2b2o2b2o3b9o5b3o2b3ob2o2bobo2bobobo2b2o4b3obobo4bo2b2o2bob2o2b2o2bo2b
2obobob3ob2ob2obo2bob2ob3o4bo2bo3b5ob2o$169b2o2b2obo2bob5obobo3bo2b5o
6b2o5bo2b3o2b2o2bo2bob2ob3o2b2obob2o3b2o4bo2b3o2bobo3bobo3b2o3bo2b2o2b
ob3obo4b2obo3bo5b2obo3bo2b2ob4obo4b2obobob2ob2ob2o2b3ob2o3b4o4bo3bob2o
b2ob2o2b3ob2o2b3o4bo4bo3b3ob4o6b2obob3ob6o3b3ob4o3bo3b5obob5o2b2o2bo2b
ob2obo4bo2bob2obo2b4o5bo3b7o2bo3b2o2b2o3bo$167bo2bob2o4b2obob3obob5obo
2b2o5b2o4bobobo2b2o5bob2obo2bobob2o2b2ob2ob4o2b2ob3o2bob3o2bob2o3b2ob
2o5bo2bob2obob2ob5o2b2ob2ob2obobo2b2o2b4obobo5b6o2bobob3obobo6b2ob2o2b
ob2obob3obo2b2o3b3obo3bob2o2bo8bo4b3o3b2obo7bo4bo2bo2b8obo5b3ob2o7b2ob
obobo2bob6o2b3obob4ob2o3b2ob4obo8bo2b3ob3o$169b3o3bobo3b3ob2obobobobob
ob2o2b5obobob2obo2bob2ob2o7b3o2bo2bob5ob3o3bob2o2b2o3b2obo2bob2ob3o2b
4o4bob3ob3o2bobob3obobo2b2ob4ob6o2b3obobo2bob2o2b6o3b3o3b8obobobob2obo
4b5o2bobob2o3b2obob3obob3ob4o2b3obob3ob2o2b3o3b3obob2obo2bobo4bob2obob
ob2obo3b2o3b5o4bo2b2o3bobo2b2o2b2obobo6b9obobo2b2o$167b2ob2o2b2ob2ob4o
4b2o2b3o4b2o2b2o3b2o3bob4ob4obo2bob2o2b5o3b4o2b3o2b3o6bob2obo2bob5o2b
2o3b2obo5bob2obob2ob4o2bo4bob2o2b2obob2obobobo2bob2obobob2ob2o2b2o2bob
4o5bob4o2bob3obo2b5ob3obo4bo4b2o5bobob4obob6o2bo2b2o2bo3bob6o2bo3b2o2b
o2bobobobobobo3bo5bobob2o2bo2b2o2bob3o3bobo2b3ob3ob2o2bobob3o2b3o$167b
3o3bo3b2ob2obobobob2o3bob8o2b4ob2o2b2o5bob2obobobo3bob6ob3ob3o2bo2bo3b
ob4ob4o3b4o3b2ob2o3bo4bo11b2o5bo2bob3o6b3obo2b2ob3o2bo3bob2obob2obo2b
3o3b2ob4obob3ob2obobob4obo4bo2bobobo2bo2bob2ob3o2bo3bobo3b3o5bob2o2bo
7bob3ob3o2b6ob3obobo3bob3ob6o2bo3b2o3b2ob4obobob2o2bobobob2ob2o4bo$
169b7o3bob2ob2o3b4ob2ob2o4b2o5bob2obo6bo5bob10ob2o4bo4b4o4b2ob3obo5bob
o3bob3o3bo6b2o4bob2o2b2ob4ob2o4b7o4b3ob2o4bob2o2b3o3bobob2o5b2ob4o3b2o
bo2b2o3b6o5b3o4b3o3b3o2bobo2bob3o13bob3o4bo3b4o4bo2b3o2b6o2bo2bobob6ob
o2b5ob2obob2obo2b3o2bo3bo5bobob4ob2o$167b4o6bo3b3obo3b2obobo5b4obo6bo
6b2o6bo2b2o2bo3b2o9b5obo2bobo2bo2b5o3b6obob3o2bo3b5ob2ob2o2bobob2o2b2o
b3obobo3bo6bo2bob6o2b2o2bo2bob2ob2obo4b2o2bo3b4obobob2obo2bo4b4ob3obob
obobob3o3bo2bo3bob2o3bo2bobo2b3obo7b2o2b2o2b3ob4o4bob3o3bo6b2o4bo2bob
4o3bo2bo2bo2b2o3bo10bobobo$167bobo2b2obo2b4obo4bobobo4b3ob2ob2ob2o2bo
3b2obob2ob2obobob2ob3o3b2o2bob2o4b2o2b3o2b4o2b3o3b3o3bo7bo3b2obob3o2bo
bob5o2bobobob5ob3o2bo3b7ob6ob2o4bo4bo3b5obobobo2bo2bobob2o3b2obo2b8o2b
3o2bob4o6bo2b4obo3b5o3bo6bo2bo2b4o7bo3bo4bo4bo2b3obobo3b2o2b2o5b2o2b4o
bo6b2o2bo2bo2bo3bo$168b3o4bob5o2bob4ob3o2bo3b2o3b2o2bo2bo3b2obo3bo3bo
3b3ob3o9bob2o4b2o3bo2b2ob3o4b2o3bobob3obob2obo8bobob2o3b3o3b3ob2ob4o4b
2obob4o3bob2o3bo2b2o2bo4bo3b2o6b2o2b2obo3b3obo2b2ob2ob5obobob2ob2o5b4o
2b4ob4o3b2ob3o3bo4bobob2o6bo2b2o2bo4bob2o3bo4bo2b2o2bob2o2bo2bobob4ob
4obobo2b3ob2o2bob4o$169b4o2bobobo2b3ob3obobob4o2b6o5b4obobobobob3ob2o
2b3o2bo3bob5o2bo2bob4o3b4ob2ob3ob2o2bobobobob2o2bo4b2obo2b2ob2ob2o2b4o
b2o2b2o2bobo2b3obob2o4b2ob2obob2o4bob6o3b4ob2ob3o2b2o4b5o3b6ob2o4b2o2b
ob4obobobo6bobo2b4obob2ob4ob2o2b5o2bo2b2ob2ob2o2b4o6b4o2b4obob2o2b4ob
3ob5ob2o4b2o2b5obo2bo$170b2obo5b4o5b2o7bo3bo2b2obo7b3ob5o2bo2bo2b3o2b
7o5bob3o2bob2o3bo4b3o4bobo4bo3b2o3bo6bob3o8b2obo2b2o3b3o5bo2bo3bobo2b
3o4b2ob3ob2o2bobobob6o2bob4o8bobo3bo3bo3bob2o4bo2b3o4bo2b2obob4o3b2obo
bob3obobob2obobo4b2o2bobobo3bob3ob2obo2b2o3b3o2b2o3b2obo2bobo2b2obo2b
3o3b3ob2o2bo2bo$172b2o2bo4bob5o6bobo3bo2b3o2bo3b2o4b3ob6obob4o2b2obob
2o2b2o2bo3bob4obobo3bo2bobobobo2b2o2bo2bobo2b2ob2o3bo2b5o3b4o3b2ob2ob
2ob6o2b3o3b2o3b2ob3ob3obo3bob2o4bobo2bo2b3o2b2o4b8o4b3o2b2o2bob4obo5bo
bo2bob3obobob2ob4obobobo6bob2obob2o3bobobo3b4o2bob7obobob2o2bo4b8ob5o
2bo3b2o3bob3o$167b2obo2b2o3b4o2bo2b3o2b4o2b2ob2ob3obob2obo3bo2b3obo3bo
b2o6bo5b2o2b2obob2o2bo2bo2b4o2b2ob3obob4o3b2o7bobob3o5bob2obo2b6ob2o5b
o2b3o2b2obo8b2obobo2b2o3b2o2b6o3b2obobo3bob7ob2o2bob5o2bob3o6b6o2b12o
2bo4bo2bo3bo2b8ob3o2b3ob2obobo2bo2b2o3b3o3bo3bo2bo2bo5b3o3b3o2b2obob2o
b4o$167b3ob2ob2o2b5o3bobobob2obob2obo3bob2o3bobo2bo2bob3o2bo3bo4bob3ob
o2bo3b2ob2obo2b2ob2ob2obobobo3bo2b3ob3ob2ob3o2bo4bo2b5ob5obo3b2ob3ob2o
bobo2b2obo5bobobobob4ob3o2b4o2b2o2b2o2b2ob2ob4o2b3o6bo2b2o4bob7obobo3b
4o2bobobob7obo4b2o5b2o3bo3b2o3bob3o2b2o3bo2b3ob2o2b4o7b2ob2obo2b3o4bob
2o3b2o5bo2bo$167b6o2b2o2b7ob2obo5b2o2bobobobobo10bo2bo2bobo2bo2b4ob3o
4b3ob5obob2o2b2ob2obo2b2o3bo2bo2bob2ob5o2bo2bo2bo3b6obob3obo2b2ob3o3b
8o2bob2ob2obobo4bobo2bo7bo2b6obo2b3ob3obob2o4bob2o2b3o8bobob3ob4o2bobo
b2ob2o2b5ob3ob7o2b2obob3o4b7ob2ob2ob2ob6o2bob3ob4o5bo2b2obo3bobobobo2b
3obobo$168b2o2b3obo3bobob3obo4b2o3b2obob2ob2obob3o2b4obob2ob4o3bobobo
2bo2b4obo2b3ob2obobob3o4bo3b2obobob3o2bo2bo3bobo4bo2b2o4b2o3b5o3bo3bo
3b2o2b2ob3obo6b3ob2ob4o3bo4bobobo3b2o2bo4b2ob4obo2bo2b3o3b2obob3o2bo2b
2obo6b3ob2ob3ob4ob2o3bo2b2obo2bo2b3o3b3o2bob4obo2b4obo2bobob2ob3ob6obo
bob3o2b4o3bo4bo4b2o$169b2ob3o2b6o3bo2bobo2bob4o2b6o3b2obo2b2obo2b6obob
obobob5o5bo2b4o5b4o5bo3bobob2o2b6o4b4ob5obob6obo3bobob3obo4bob10ob7o2b
2obobo2bo2bo2b2o4bo2bobo9b2obobob4o2b2o3b3o3b2obo2bo2bob2o2bo2b2ob3obo
b4obob2ob3obo2b2obo2b3obo2b2ob2obo2b4o4bo3b4ob2o3b2ob3obo2bobobob3ob4o
bo2b2obo2bo$167bo2bo2bo3b2obo5bobob4o3b3obobob3obo2b6o3b2obo4b2o3b4o2b
obob3o3b4o4b3obob4obo3bo2bo4b2o2bo2b2obo2b2obo2bo2b4obo2bobo3b2o3b5o2b
7ob2o3bob2obob6o2b2o2bo3b2obob2obob3ob2ob4ob3obob2o2b2o2b2o6bo2bo4b2o
7bo6bo2b8o4b3o10b2ob2obo5b6o2bob2obobob4o2b3o3bo3b3o9b4o2b3o2bob2o$
171b2o2b2ob4ob2o3bo2b7ob4obo3b3obo5bobobob4o4b3o9bo2b2obo4b3o4b3obob2o
4b4ob2obo5bo2b2o2bob2ob3o3b3obo2bo4b4o2bo3b2o4bob3o2bo3b3o3bob3o2b7o2b
4o2bo2b2ob3o2b2ob2obob2o6b6o7bo2bo3bo2b2o2b4ob3o3b2ob2o4b3ob2o2b2obo3b
2obob2ob2ob2ob4ob2obob2ob3o2b3o2bobo2bo2bob4o2bo2b2o2b2o3bo2b2obo$169b
o2b2o2bo2bo2b3o3bobobob2o3b2obobo4b2o5bo5b2obo2bob3ob2ob2ob2o7b2o4bo2b
o3b3obob2obo4bobobo2b4ob4o3b3o3bo3b4obo5b3o2b2o4b2o2b4o2b5obo4bobo3bob
o3bobobo2b2ob2o2bob4o5b4o2bo4b3obo3b2o3b2o2bobo3bobobo3bo2bo2b5ob3ob2o
b7o2b2ob3o2bob2o2bo2b5obo2bo4b2o10b2obob2o5b4o2bo5b2o2bo2b3o$169b2o5bo
b5obo2b3ob2ob4o2bo2b2ob2obob2obo2bobo2bobob2o3bo2bobo8b2obo7b2o2bo3b2o
b2o2b3ob2ob6o4b3o2bo3b3ob5obo4b2ob2ob3obob3o2b4o2bo3bo3b2o2bobo6bo3bob
3o2b2o3b4obob2obo2b4o2b4ob2o2bob5ob3o2b5ob2obo2bo3bobobobobobobo7b7obo
bobo2b2ob3ob3o3b2o2bo3bobobo2bo2bo2b2obob3ob2ob2ob4obobobo2bob2ob4o$
167b2o4b4ob6o4b3obobob2ob3obo3bo2b2o2b3o6b2o2bob2o2b4o2bob2obo3b3o2b3o
5b2ob2o5b2o3bobo3b4o2bobo6b3o2b3o3b2o2b6o3bob3o2bo4b2ob2o3bo2b4ob4o2b
3ob2obobo2bo4bob3obobo3b2o5bobob8o2b4obob3ob6o2b2ob4o2b3o2b7o3bo4b2o2b
o2b2o2b2ob2o10b2obob2ob3obobobob3obob2o2b2ob2obo2bob2obo3bobo3b2o$167b
2o2bo3bo3bo2bob3o2bo4bob4obo3b2obo2b2obob2o3b3ob2obob2o2bob3ob3o3b5o4b
2ob3ob3o4bo4b3o2bo2b3o3b4ob2obo3bob3obo2b2obo6b2o5bo2bo4bo7bob3o2bo2b
2obobo4b7o2b2o2b2ob3obo2b2obob2ob2obo2bo2bo2b2o2bob2o2b2o2bo2bo2b3obob
7o3bob6o2b2obobo4bo2bobo3bo4b3ob9obob2obob2ob3o2b2o2b3obobobo2b3ob3o3b
o2bo$167bo3b2obo4bo2b2o2bobo2b4ob2o2b2o2bobo2bo3b4obo2bobo2b2o3b2obob
2o2b2obo2bobo3bo3bo5b2o2b3obo3b3ob3ob3obo2bo2bob7o3bob5ob3ob2o4bo2bobo
6b2o2b2obo3bo2bob2o4b2ob5o2b8o6b3o3bo2bob3obo3bob3o3bo2b3ob3ob2obob2o
2bo2b3obob2ob2o2bo2bobobobo2bo4bobo3bo2bob3ob3ob5obob2obo2bo4b2ob3ob2o
b2o6bo6bob2obo3bo$167b2o2bo5b3o7b2o3bob2ob2o3b2obob2obob2o3b3o2b2ob2ob
o11b5o3b3obobob2o2bobo3b2obob2obob2o2bo2b3obo3b2o3b7ob4ob2obobo2b2ob2o
2b2ob5ob3o3bobo3b3obo3bobo2b2o3b4o3bob2ob5o3bob2o8b2o2b5obob2ob3o3b2o
4bo3bob2obob2ob3o7bobo2bob2ob3obo5b5o3bob2obob4ob3o2bo3bob3obob2o3b2o
6b3obob7o2b3o$167bobo2b3obob2o2bobo2b3o3b2o2b5obo2bo2bo5bob2ob3o2b2ob
5o2b3o3b2ob2o7b3obob4o4bobo3b3o2bo2b2ob2o3bo3bobobobo2bo3b3ob5ob2obo2b
o4bo2b6ob2o2b6ob2obo4bo3b2ob2obobo5bobo5b3ob4o2b2obo3bo5b3o2bo2b2ob3ob
ob4ob3o2bo2b3obo5b2ob4o3b4o6b3obo4b3o4bobo5bo3bobo2bobo3bo2b2o3bo2b3o
2bo2bo3b4o$168bo2b2ob3o2b4o3bo2b2o4b2obob5obobob2o2b2obobo4b3o6b5ob3o
5b2o2b2obob2obo2b7obo6b3obob4ob2obobobo2bo3bo2bobobobo3b2o2b4o3bobobo
2bo3b2o2bo5b2o3bob3ob4ob5o2b2ob2o3b2o2bobob2obobo4bob2o2b3o9b2ob3o2b2o
b2o5bob2obobobobo3bo3b6o7bobob2o4bo3bo2bo2bobo2b5o2bob2obo2bo4bob3o3bo
6b2o2b2obobo$168bobo2b6ob2obob6o6bo2b6obo2b6o5b4ob3obob7obobo3bo5b2o3b
2obo2bobobobob5o3bo2b2o5b5o2bobob2obobobo2b4o2bob3o2bo4bo2b9obo2bo2b2o
b2ob2obob2obo2b5o2b3obo6bo2b2o2b2obo2b3o4bo3b3o2b2ob3obo4bobo2b3o3bob
3ob2ob2ob3o4bo2b4obob2o3bobob3o5bobob2o4bobobob3o4b2ob2obobobob7o2bob
3ob2o$167bo4bobobob5o7bob3ob6o2bo2b5o3bob3obo2bo3b3o3bob2ob3obo3b5ob2o
bob3o5bo2bo3bob2o2b2o4bo2b2ob3o3b2obo4b4obo7b2o2b6o2bobo3b4ob4o2b2o3bo
2bo3b3obo2bo2bo2bo3b4obo2b2ob2ob3obo2bo2b5o2b2ob3o3bo2b3obob3o3bo2b4o
3b2o2b2ob4ob3o2b2ob6ob2o2bo3bo2b2o2bo2bob2ob2o2bo2b4o4b4obobob5ob5ob2o
4bo$168bo2bo3bo2b2ob6ob2o3bo4b2obo3b2o4b3obob2ob3o2bo4b2o4b2obobobobo
2bobobob4ob2obobob2obob2o3bobobo2b2obobo7b3obo2bo4b2ob4o3bo2b2o2b3o2bo
b2o4b3o4bobo2b2o2bo3b2ob3obo4b2o2bob2ob8o3bo2b2ob2ob2ob3o2b2o4b4obo2b
2o2b3o4b3o3b2o2b3o2b6o2bo2bob2ob2ob2obob2ob2ob3ob2o5bo2b3o2b4o2bo2b3ob
2o4bob3obo3b6obo$168bo6bo2bobobob3o4b2o2bob4ob3ob2obob4o3b2o3bobobob2o
b2o2bo6bobobo3b2obo2b2obob2o2bo2b4ob2ob2o2b2ob2o3b2o2bo2bo2bobob2o3bob
2o2bobo2b3o4b2obo4bo2bo2b4o2bo3bob2obobo3bo3bobob6obob4o2b2o2bob2o4b3o
6b2obo3bob2ob2ob2o2bob4o4b3ob5ob3ob2ob2o2bo2bo2bo2b2ob2o2bo3bobo2b2o3b
o6b3obobo4b3ob3o2b2o2b2o2b3o2b3o$168b4obo4bobob4o2b3obob2o3bobo4b3ob3o
bo2b4obo3b4obobobob6ob3o3b2obobobo2bobobo5b2o9bo3bob2o2bob4obobobobo2b
ob3o2bobo3b2o2bob3o2bob4obo2b4obo3bobob4o2bo2b2o2b2o4b2obob3o2b5o2b2ob
o2bo2bo4bob2o2bob2o2b2obo2b5ob2o2b2ob2o3bo3b8ob2ob2obo3b3ob2obo3bob2ob
2o2bo2b5ob4o3bobob2ob2o2b2ob3ob3ob5obo2bo$167bobob2o2b3o2b3obobobobo2b
3o3bobo2bo4b3obobobob2o2bo5b2o3b5obob2o2bob2o2b3ob2o4b2ob2ob2o2b2o2bob
ob2ob4o5b8obob3ob3obo4bobob3ob2o2bobobo2b5ob3o2bo2b2obobo3b2o2b2o4bobo
bo5bo2b2o2bo3bo6bob2o2bob3obo3bo3bobob4o2b4o2bo4bob2o4b3obobo3b2ob3ob
4o3bobo6bobo5bob2ob2o2bo2bob5o2bob3o3b2o4bob2o3b4o$171b2ob2ob2ob2ob3ob
o3bo2bob5obob3ob2o2b6o3bo2bo2bo2bobobobobo4bob3o2bo6bobo2b2o3bobobob3o
bobo9bob2ob4o2b2o2bobo2b7obobobobob2obo2b5o2b2o2bo2b4obo2bob2o2b6o3b2o
bo3b2obo2bo3b3obobo3b8o2bob2obobo4b3obo2bo4b2obo4bobo3bo2bo4bob2o4bob
2obobo2b4obo3bobo2bo2bo4bob5ob2o3bo5bob4o2bo4bobo3bo3bo$167bob3o3bobo
4b2o4bobob3o3bob3obo2b4ob2o4b3o2b2o5bobobob2ob2o3bob3ob2obo2b2o3b2o4b
3o3bo6b2ob5o2b2o2b2o2b2ob2o4bobob2o2bobobob2o2b2ob2ob3o6bobo2b3o4bobo
3b6o3b3obo2bobo6b3ob3o2bo2bobo2b2ob2o2bo6b2obob2o2b4o2bobo2b4ob5obobo
3b2obobobo2bob5o2bo2bobo2bo2b2o3bo2bobo5b3obo2bobobo3b3obobob2obobob2o
bo$167bob2o2bob4obobo3bo3b3ob2o3bo2bo2b4o8b2o2b2o3bo4bo2b4ob2o2bobob3o
2bobobobobob2obob3o2bo2bo2bob5ob2obobo2bo4bo2bob4obo4bob2obo2bo2bob3ob
o2bo2bo2b4ob2o4b2o2bob2ob2obobobo2b4o3bobo2bob3o3b5obo6b3obo2bob3o2b2o
2bob5o6bobo2b2obo2b2o4bo3bo4bo3bobo5bob4o3bo5b2o2bobob3o2b5obo5bo4bo3b
3obo2bobob2o$173bo2bo2b2o2bo5b2o2bo4bobob2obo2bobob2o2b2o5bo2bob2ob2ob
o3b3ob5obobobob3ob2obo2b3o2b2obobo3bo2bob3o2b2obobo2b6obo2bo2b4o2b2o2b
3o2b2obo5b2ob3o3b3ob3o2bob2o3b2o6b2o3bob5o2b5o2b3obob2o2b2obo5b4ob3o2b
o4bob3ob5obo2bob2o3b2ob2o5b2obo2bobo9b4obob2ob5obo7bob3o3bo3bo2bob2ob
4o2bobo3b3ob2o$167bob5obo4b3obo7bobo2bo2bo2b3obo2b5o2b2o2bobob3ob2o5b
3ob2o3b2obobobobob5ob2ob2obo3b2ob2o4b2ob3ob3obob4obo5b3o2b2o2b2o3b2obo
b4obo3b3o3b4ob2o3b2o4bobo2b5o2bobo2bob2obobo2bobob2o2bo2bobob4o3b2o2b
2ob3ob2ob2o2b2obo2bob3o2bob4obo2b4o3b2ob7ob4o4b2o3b3o2b4o3bob5ob2ob5o
2bo2bo4bob2o2bobo2b2obob2o$171b3obobob2ob2o3b3obobo3b2o2b5ob5ob2ob4o2b
3o4bo2b3o3b3o2bo2bobo4b2o3b3o4bo7bob2o7b2o2bob4obob2o4b2o3b6ob2o3bobob
o2bo4b4o3bo6bobob3o2bob4obo5bo2b3ob3obo2bo2b2o4b3obobo2b2obo5b3ob2ob3o
4bobob2ob3obo2b2obo2b2obobo4b4o2b3o3bo4b3ob3o2b3obo2bo3b2o2b4ob2o2bob
7o2b2ob3o5bobo2b2o$169bo2bobo6b5o2b2ob2ob3obo2bo4bo2b3ob2o4bob5o4b3ob
2o4bob2obo2b2o3bo2b2o7bo3bo2bo2b4ob2o2b2o2b2o5bo3bo2b2ob6o2bob2o6bob3o
bobo3b3o4b2o5b3o5bobobob2o5b3o2b3o4bob2obo4b2o2bobo2b2o2b3obo3b8o4bo2b
3ob2o3bo2b2o2bob3obo4bobo4bobo3bo2b5obob3o4bo3b2obob4obo2b2o3b5ob5ob2o
b2ob2o3b3o$168b5ob2obo2b2o2bob3obo3bobob4obo4bo2b3ob4o2b5ob2o3b3ob2obo
bobob2o3b3o4bob2o3b2ob4obo6b2o2bob5o2bo2b3o3b4ob2obo3b2obobo5b2ob3o2bo
b2obo4b2ob4o6b6ob3ob3obo2b2obobob2obo3bo2bobob2o2bo2b3o2b4o5bo5bobobo
3b2o2b2ob2obo2b3obobo3bo4b3ob3ob2obo5b3o4bob3o3bo3b4obob2o2b4obobo4b3o
2bob3o2bobobo$167b5o2b2o3bo6b3ob5obob2obobob3o4b3ob4o3b2obob3obo2bo7b
2o7b2o2bob4ob3ob3ob2ob6o2bo4b3ob3o2bobob2ob4o2bo2bo2b3ob4o2bob3obo2b2o
5b6obo3bo2bobo4b2ob2o2b4ob2obob2ob2o2bo2b2obo4bobobob2obo2bob4o2b3ob2o
bobo6bobobo3b2o3b2obo3bo2bo4bo2bob3ob3o2bo3b2obo2bobob2o2bobobo7bo3b2o
2bob2o4b3ob5obo$168b2o3b2o4bo12b2ob2obo3bobobob2o5bo4bobo3bobo2b3ob2ob
obobob3obo2bo3bo5b3o2bo2bobo2b2o2bobob3o2bob4o2b2ob2ob4obobob3ob10o3bo
bobo2b4o4b7o2bo3bo3b3obo2bobo4b5obobobobobob2ob3o2b4ob2ob2o5b2obo5bob
4obo2bo2bob3obo3b2o2b2o2b3obo4b10o3b3o2bo4bo2b2o2b2ob4o2bob2o2b3o3bobo
b2o2bo2bobo4b2obo$167b4ob2o2b2o3b4ob2obo7bobo4b2obo5bo2b3o2bob4obob3o
3bob4ob2o2b2o2b2ob4o3bo2bob2o2bo2b4obobob3obo2bo2bob3ob4o3bobobo4bob2o
4bo3bobo2bo3bo3bo2b6o4b5o8b4o2b2ob2obob2o3b2ob3o5bo2bo4bobo4bob3o2b7ob
o2b3o2bo4bo2bo2b2o4bobobo2bo4b6ob3obo2b2o2b5o2bo2bobob2o4b6o2b5ob2obob
ob2ob3obobob2o$167b3obob2o2bo3bob5ob4o3b4obobob2o5b4obob5obo8b5obo4bo
3bo2b3o2b2o3b2obo4b4o2bo3bobob3o8b2o3b4obob2obobobobob2o5bobo2bobob2o
2b2ob2o2b2ob3o4bo3b4ob2obobo2bo10b4ob2o3bo6bobobo2bob2obobo2bobob7o3bo
2bo2bobo2b2o2b4obobobo2b4o2b3o3bo4bo3b4ob4ob2obobo3b3o7b2obo6bo2b3o4bo
2bo$168bo3bo4bobobob2ob2o2bo2b3ob2o4b2o4bobob2o2bob2obobob4o3bob4o2bob
o5b2o2b2o2b2o3b3obob2obo2b2o2bobo5b3ob2o3b5o2b3o2b2ob6obo2bo2b2ob2obo
2b3o3b4obo2bob2ob2ob2o7bobobo9b2o5b2o2bo2b6o2b2o3b8o4b3obo2bobobo2bo2b
o2bob8o5bo2b2o3b2obob2o3bobobob2o3bo2b2ob4o5bobo4bob4o2b4o2bo2bobo2bob
3obobo$171b2obo2b2obo6b6ob2o2b2obobo2bo3bob2ob4o3bob2o2b2ob2o7bobo3b6o
b3o2bo2b2o3b3obo2bobo2bob8o2b2obobo5b6ob3o4bobob2obobo2b4o4bo3b2o2bo2b
3ob4ob3o2bo9b6o3b2ob3obobobob2ob8obo4bobobobob4o4bob2o2bob8o2b2o2bo2bo
3b2o2b2o2b2ob3obo3b3ob2ob2obo2bob7o8b5ob2obo3b2ob9o2b3o$167b2o2b3o2b4o
b2obo4bo4b2o8b2o3bob2o2bobo4b2obobo2b2o2bo3bo3bobobo3b2ob2obobob4o2bob
7o2b5o2b3obo2bo2bob2o9bo4b3o2bo5bobob2o3b3ob3o4b2obobobob2obobob8o3b5o
b2o3bobobo2b2ob2obo3b3o2bobo2bo4b6ob2o2b2o3b2o2b2ob2obob3ob4obo2bo3bob
2ob3o4bo8bobo2b3o2b6o2bobob2ob3obo2b2o2b2obo4bob3o2bobo$167b3o4b2ob2ob
3ob4o2b3obo4bobobo2b3obo4bob4o2bob2o2b4o3b3ob2obo2b2o2b2o2b2obobo7b3o
4bo2b4o2bo2b2ob2o2bo3bo2b2ob3o2b3obo3bo3b5o2bobo2b3obobo2b2obobob4o2b
2obob3obob3o2b2o2b3ob4o3b2obo6bo2bo3bobo2b4ob4o2bo2bo3b3ob2obo5b6obo3b
2obobo4b4o2b2o6bob4ob2ob2o2b2o10b2o3b2o2bo2bobo2bob2ob2obobob4o$169b4o
bob3ob4o2bob2obobob2o2bo6b5o2bobo2b4obo2bob2o3b3o3bo2b5obo2b4o6bo2b2ob
o2b2o2b3ob3obob3o2bob3ob2obobo3bo3b4ob3o3b3ob4ob5o2b2o3bo4bo2b2o6bob2o
2b3o6b4o3bobo3b2ob3ob3obobob2o3b2o2b5o2b2o2b2o5b2o3bobob2ob3ob4ob2obo
4b2o3bob2o5bo2bobob2o3bo2b3o2bobo3b3o2bob3o3bob2obo5b3o2b2obo5bo$167b
2ob2obo2bo2bobobo2b2obo3bobo2bo2b2o2b2ob2obobo5bo2bo5bob2ob2ob9o2bo3b
2o5bob3obo5bo3b4obo3bob2ob2obo4b3o2b5obo3bo2bo5b3ob2o3bo2b2o3b2ob5o2bo
2b4ob5o2bob2o2bobo6b5o2b2o3bobo7b3o4b6obob2o4bo4b3o2bob2ob2o2bo3b2o3b
2o3bo2b2ob4obob3ob2obo2b2obobo2b8obob3ob3o4bo2b2o4b2o3b5ob3ob3o$168bob
2obob2o2bobo2bob8obo2b2o5bo3b3ob3o2bo4b2obo2b3o4bob8o3b3o3b4o2b3obobo
3b7obo2b3o4b2o2b2o3bo3b2ob5o2b5o3bob2ob2o5b2ob9o2bo2b3o2bob3o4b2o2b3o
2b5o5b4o2b2o2b5obobo4bo2b2o4bobo3b2ob8o2bo3b2o2bobobo12bob3obo3b3o2b2o
bo4b3o2b4o2bobo5bo5b2obo3b2ob3o3b2o2b2o3bo$168b2ob2o2b2o4b2o2bo2b3obob
2o2bob6o3bo2b2o5bo4b4o2bo2b2obo4b3o2bo2bobobob2o2b3obob2o2b3o3bo2bo6bo
b3o2b2obob6o5bobo2b2obobo2bo2b3o3b5ob2obo2bo2bobob2obob7o3bo2bo2bo2bo
2bob3ob3ob2o2b2o2b2o5bobobob2o3b4ob3o2bo3bobobo2bob2obo3b2obo2bobo2b2o
b6obobo4b3o2bob2o4b2ob2o2bo2bo2bob3ob3o2b3o3b4o5bo2b2o4bobo$170bo2bo2b
2obo4b2o2b2obo3bo4bob2o4bob3o2b2ob2obobobob3obobobobobobo4b2obo2bob5o
4b2o4bobobo2bo2bo2b2obob2ob2obob2o2b8o2b3ob4ob2o5bob3ob2obob4o2bo6bob
3ob4o2bo2b4obob4ob2o4bo5b7obo3b3o2b2ob2o3bobob2obo2bo2bo2bobo2bobob3ob
2ob2ob2obobobob2obobo2b2obobobo3bobob2o2b2o2bo5b4o3b2ob2obo2b3o6bob2ob
o2b2o4bo$167b4obo9bo2bob2o2b3ob3o2bobo2b4o3bobob2ob2o2bobo2bobob2o2b2o
bob3obo2b2ob5o4b4obo7b2o2b3o2b6ob4obo2bobobob2ob3o2bobo2b3ob4o2b2o2b2o
bobobob2o2b5obobob2o3bo2bob3obobob2o2b2obob2obo2b2ob7o2bo2bob4o3bo5b2o
bo2b2o4bob3ob2o2b5obob2obobobobobob4ob2ob2o4bo3b2ob2o4bo3b2obobo3bob2o
b2ob3o2b3obo5bob2ob7o$169bobo2b2ob2obobo2b2o2bo3bob2o9bo3bob2ob2ob8o2b
ob2o2b3ob2o2b2o2b2ob3ob2o2b3ob2o2b4obo2bo2bobo2b2o2b4ob2ob4ob2o2b3obo
3bo2bobob2obob4obobob3obobo2bob5o5b2obobobo3bo3bob2o3bobo4bo2bo3b3o3b
2o2b2ob2ob2o4bo5b2ob2o3bobo2bo3b2o4bo5bob2ob2o4b3o3bo2b2obo2b3o3bo2bob
2o3bo2b3o4b9obo2bobo2b3o4bo2b2ob2o$167b2ob2obo3bob2ob6ob3o2b2obo3b4o4b
obo3b3o2b2ob2o4bo3b2o2b4o4b2ob2obo3bobo4bo4b5ob4obo2bo2b2o3bob3o6bob2o
b4ob9ob2ob2obo5bobobo2bob5o3bo3b4obob2o4bo2bo2bobobob2ob2obob2o2bob3o
2bo5b2obo2b3obo2b2o4b3ob3obo2bo2bob3obo2b2obo2bo3bo2bo4bo2bob4o2bob2o
3b2o5b2o2b2obo2b2ob3o2bo3b3o3b7o3bob3o$168bob3obobo4b2obo4b3ob3ob3ob3o
2bo7bo2b2obobo3b3ob5obo4bobobobobobo3bo3b3o2b2o3b4ob2o4b2o4bob3o4bo2b
2obob2o3bob2o2b2obob2o2bo2b2obob2o6b2o2b2o2b3obo2b2o4b2o3bo4b2o3b2obo
6b4ob2o3bob4obo2b4o3bobo2bo2b2o3b2obo2b2ob2obo3b3ob3o3b2obo2b3ob2obobo
b12o2bobobobo2bo2b2o9b3o5b3obobobo4b2obo$167b2ob2o3bob3obo2bo2b3o2bob
2o2bobo2b2obob2obob7obobob3obo2bo2b5obo7b2o3bo3bo2b2obo2bo3b2o2bo3bo3b
obobob4o2b2ob2o2b4ob2obo3bobob4o2bo3b4obobobob3obobo3bob4ob2o3b3ob3ob
3obob4o2bo4b2ob2obobo2b3ob2ob2o3b2o4bob4o3bo4bo4bo4b2obo4b2o5b2o4b9o2b
2obo2bob3o3bob2o2bo2bob4o2bo3b2obobobo2bo2b6o2bobobobo$168bo2bob6ob2o
2b2o2b3o3bob5ob2o3b4o3b4ob2obobo2bob5o6bo4bo3bo4bob2obo3bob2obobo4bo2b
obobo2b3o3b2obo2bo2bo2b2o2bo2bo4bobobobo2bo2bob2o2bob5ob2obo2bob2o5b3o
b2o2bo2bo2bobo2bo3b2o3b3ob2ob3ob3o3bobobob2o2bob2ob2o3bob2ob2o2b2o2bo
4bo2b2o2bo2b2o2b11o3b2o5b2ob2ob3o4b2obobo2b4obo2bob3o2b2ob4ob2obob3obo
$2b3o162bo3b2o2bo7b2obobobo3bob3obobo5bo2bo2bo3bo3bo3bo2bo5b6ob9o2bo9b
2o5bo2bo2bo2b6o3bo2bob2obo2bobo3b2o2bo2bo5bo5bob2o2b4ob3obo2bob2o2bo2b
ob3obo3b2o2b2obo3b5o3b2obo2b3o5b7o6bo2b2o2b2obo2bobob2o4bobo4b2o3bo2bo
2b3ob2obobo3b2ob4o2bobo2bobo2b2o3bobobob2o4bob3o3b3o2bo2b2obob4o4b2o2b
o$2bobo163bo3bo2b2o2b2obo2bo4b5ob2ob2ob2o2bo2b2obob2o2bob3o2b2o3b4obob
2o2bob2o3bob3o2bo2b4o2bo2b2ob7o5b2ob5o5b4ob2obobo3bob3o2b2o3bobo3b2ob
2ob2o2bobo2b5ob3obobobo4b2obo2bo5b4o2bob2ob2obobo7b3o6bo2b3obo5bo3b3o
4bo4b5ob2obo6b2ob5o3b2o3b2o2b2o2bob2ob2ob4obo6b4obo3bo3b2o4b3ob2ob2o3b
obobo$169bobo3bobobobobo3bob7obob3obob2o3b3o2b4o2b2o2b2o3bob2obob2obob
o2bo7bo2b3o3b6o3bob3o2bobo2bobob4o7bo2bo2bo2b3obobo7bo2b3o9b2o4b5ob2ob
3ob2obo5bo2b2o2b2obo3b4ob2o3b4o2b3obob2obobob4o2bo4b2o4b5obob3o2b2o2b
2ob2o2b6o2b2o2b2obo3b3o3b2o3b6obob2o3b3obob2obo2b2obobobob3ob5ob4o3bo
2bo$bo2b3o160b3obo4b4obo6b2obo5bob2obobo2bob3o3bob2o2bo2b2o2b2o2bob2o
2bo2b3o2bo4b4ob2obo2b2o2bo2bobo2bobo3bobobo2b2ob8o5b3o3b3o2b2obo3bo5bo
2bo2bo2b4o2b2obobo2b3o3b5ob3o2b3o2b3ob3obob4o5b3o4b8o2b2ob3o4bobob2o2b
obo4b2ob3o3bo2bobo6bob4obobob3o4b2o2bo4b2o2b2ob2o2b2ob2obo4b2ob5ob5o2b
3obo6b3o$2o4b2o159b2o3b3ob2o3bo4b5o2bob2ob2ob2o2b3o2bob2obobobob3obob
2ob7o2bo2b2ob2ob3o3bob5obob2o4bo2b3obobobo2b2o2b3ob3ob7ob2o5b2obobob4o
4bo2bo2b3o5bobo4bo4bob2ob2obo2bo3bobob2obob2ob2obob2obob2obobob4obo2bo
bo2b2obo5bo2bobo4bo2bob2ob6o3b2o7b2o7b2ob3obo3b3o2b2o2bobobob4ob5o3bo
3bo2b3o3b3o2bob5o4bobo$2bob3o161b2o5bo5bobob2o2bob3o4bo5b3o2b3obobo6bo
2bo2bob5o5b3o2b3o2bo4bob2o2b5o3b2obobob2ob2obo2bo3bo2bo4bob2obo4bo3b2o
b2o3bo2b2ob3o2b3o2bob7obo3bob2ob2ob2ob2obob2o2b2o4b2ob3obob2ob2o2b2o2b
ob4o2b2o5bob4o2bo5bo2bo4b3o2b2o2bo2b5o2bo2bo3bobobo4b2ob3o2b2ob2obobo
2b3ob4o4bo3b2o2b3ob2ob2ob2o2b4o2bo2bobobo$167bobo2bob3obo2b4o4bo2bo2b
3ob4o2b2obob3ob4ob2ob2ob2obobobobo2bobo3bo2bob5o2b2ob2obo2bob2obob3o2b
obo2b4ob2ob2obob3o5b2o2b2obo5bo2bo2b2obob4obob2o4b2ob2o3bo2b4ob2obo2bo
2b2o3b3ob2ob2o5b2o3b2o6b2ob3o6b2ob3ob2o2b4obobo8b2o2bobobob4ob2ob2o2bo
3b3o2b3ob3obo2bo2b3o3b3o4b2ob2o3b3o2bo4b2o7b4ob6ob2o$167bob2o3b3ob2o2b
ob2obo4b4o4b2o2bo2bob2obobo3bob2o2bob6ob2ob3o2bobob2obob10o2bob2ob4ob
2obo2bo5bo2b5o3bob5o6b4obobo2b2o2b2o2bo3bobobob6o2b4o2bo4b7o2b6o3bobob
2ob2obob2obobo4bobob2obo2bo5b2obob2o2b5o2b2obo3b2o3b2o4bobob4o4bob3o2b
2ob2ob2o2bo4b2ob4o2bob4o3b4o3bobo2bobo3b4ob5o4bo$168b5o2bo2bo3bo2bob7o
2b3obo2b6ob2o3bob2ob3o4bob3ob3o3bo6b6o3b4obobo3bob2o2bobob2obobob2ob3o
3bob2ob2ob2o2b2obob4o4bo2bob2obobobob2obob2ob4o4b4o2bob4o3bobo3bo2bo2b
6obo2bobobo2b2o2b2ob2o5b3o2bob2o2b4obo3b2obo2b2ob2ob2o3bo3bo2b3o2bo2bo
2b3obobob2o5b4o4b6obob3o3b4o4b2ob2o2b2obo3bo2b2obo2b4o$168bo2bo2bob7ob
6o4bo5b2obobobob2o4bob3ob3obobo3bo3bobobob2o2bo3bo2b4ob3ob2o2bo5bobo4b
o3bo4bo3b2ob4o5bob8o3bob2ob9o2b4o3bob3o3bobob2o5b2ob2o4b2o4bobo2b5o3bo
2b2o2bob2o3b3o3bob2o3bo2b4o4bo3bo2bo5b2o2b2o2bobo8bo2bob3ob6o5b6ob2o2b
o4b2o2bob2o2b2o2b2ob5o5bo2bobobo2b3obo$167b3obo3bobob4o2b2o2b5obob5ob
4o11bobo4bobob2obo10bo2bo2b2o7b9o3b2ob3o2b2ob2o3bo3b2obobo2bo3b2o2b3o
2bob2obo3b4o2bo3bo2b3o2b2obobo3bobo2bobo3b3o2b7obobo2bo4b2obobo6b2obob
3obob6obo2b3o2b4o2bo5bo2b4o2bobobobo4bo2b3ob3obo5bo5b2ob4ob4o2b2obo3bo
b2o2b2o2bo2bo2b3obobobo7bobo3bo$168bo2bob9o3bo6b2ob2o3bo7b7o3b4o2b5obo
b6o2b5o6bo2bob3obobob2o2b2o3bo2bobobobobobo4bo2b5obo2b3obobob2o2b6ob2o
bo2bo2b3obobob3o4b3o3b2o2bobo5b6o3bo2bob4o2b3o2b4obo4bo3bo3b5obo2bo3b
3obob3o6b2ob3ob3ob8obo2b3obobob2o7bo3bo2b2ob2ob4ob2obo2b2o3b3o5bob4o2b
o4b2ob2o$169b2obobobo2b3ob2ob4ob5obobo2bobo2b2o2bob3o2b2obob2o2b3o6b4o
2bo4bobo2b2o2b3obo3bo2b4o2bobo2bo2bobob3o2bob3o2bobobob5o3b3ob2ob2obob
obobo2bo2b2obo2b3o5b2ob2obo3bo4bo3b4ob4ob3obo3b3o2bob5o4b2ob5ob5o2bo9b
o2b6obo2b2ob2o2b2o2bobob2o7bob2obob3ob2ob2ob2o2bo3bob2o2bobo2b2ob2ob4o
2bob4o3b2o7b3obo$167b3o4b2ob4o3b2obo3bobobo2b2obobo2bo2bobobo3b4ob2ob
3o2b2ob2ob2o3b2obo2bo2bobobo2b2obobob2obo2bo3b2o2bob2o2b2o2bo3b3o2bo5b
o4b4o3b2ob3obo2b3ob4o3bo3b2obob3ob2obobob2obobobo2bo4b3o4b2ob4ob3obo4b
obo2bo2b3obobobobo4b4o2bob6o2b2ob2ob5obobob3obobo2bob2o2b3ob2obo4b4o3b
o2b3o7b5obobo3bo3b3o2b2o3b2o3b2o2bo$167b2ob2obo2bo2bobo2b6o3bo4b2o2bo
2bob2ob2ob2o3b4obobo8bob4obo2b3o3bo2bo5bo3bob2o2b4o2bob4obo2b2obo3bob
3o2bo11bo2bobobo3b2ob3o2b3obo3b2o2bob2obo4b8ob4ob2o4bo2bo4bo3b2o2bob3o
4bo2b3o2b2obo2b5o2b2obobobob2obo3bo3b3o6b2obob4obo3b10o3bo2b2o3b2ob5o
2bob3o5bo5bo2bo3b3o6b5o2b3o$172b3ob2o2b6o2bo2b2ob2ob3obo7bo4b2o2bo3bob
2o5bobob2o2bob2o4bo3bo2b3o2bob3o2bob2o3bo2bobobo2b2ob3ob2o2b4obob3o2bo
4bo2b2o3b3o4b2obobobobob2obo2b2o2b5o3b2ob5o3bo2b3obobobo2b2obob3obo2b
3o2b2o2bobo2b2obo2bobob4o3bobo2b5o7bob3o4b5obob2o2bob2ob3o3b3ob3o2bob
2ob2o3b2o2b2obo3bo7b5o2bo4b3o2b3o2bo$170bob2ob3obob2o2b3obo2bo3bob2obo
2b4obo2b2o2bo2bo2b4obob2o2b2obo2b3ob2o3bo5bo2b2o2b2ob3o2bob4ob2o3bo3bo
b2o2bo2b7ob3o3b2ob2ob4obob5o6bob3ob2o4b4o2bob2o2b2obo2bo2bo2bobo2bo4b
2o2bobo3b2o3b2o2bob2ob2o2bob2obo3bo2bob2obobo5bob2o2bob3o2b2obobo3b2ob
o3bo2b2o7b2o4bo2bo3bo3b2ob7o4bo3bo2b2obo2bo2b3obob3o2bobo$168b7ob5obo
2bob4ob2o3b3o2bo3b3o2bo4bob3ob2o6b2obo4bo2b2o2bo3bo4b3o7b4obobob2o3bob
o6b3o2b3o2bo2b2o2bob3ob2obobo2bo2bobob4ob4o2b2ob4ob2o2bob5o2bob5o2bob
3obo4b4obobo3b6o2bo2b9obobob2ob3o2bo3bob3o2b3o3bob3o5b6obo4bo2bob2ob4o
2b3o4b2o2bo5bob2o2bo2b3ob4ob2obo2b2ob2o2b3o3b4obo$167b2obo2b2ob9o5b2o
5bob2o3b3obob2obobob6o8bo2b5obo5b5ob7o4bobo2bo2b2ob3ob2obo2b4obo3bobob
ob6o2b6ob2obo2b5o2bo2bo2bo3b2o2b3o3b4obob3o2b2ob3ob3ob2ob5o2b8o2b2obob
4o2bo3b2o4bobo3b2obo4b2ob2ob8obobo2b2obob3obo5b3o2bo4bob2obo4b2ob2o3b
3obo2b4o4b2o4b2obobo3bo2bo2bo2bob2o$168bob2obobo2bobobobo2bob2obo2bo8b
2o3bobo3b3ob2o5b4obobo5b3ob5ob2o5bo4bo2bobobobob2obobob3obobob3o2b3o2b
3obob5obo3b3obob2ob3ob4o2b2obo2b3obobo4b4o3bo4bo6bo3bo3bobo2b2o2b3obob
4o4b4o3b2ob2obo2bo2bo3bobo3bo3bobo4bo4bo2b2ob4ob2o4bob2obo2bobo2b9ob4o
bob2ob2obobo2bob3o4b3ob2ob2o3b4o2b4o$170b3obob2o2b2ob3o2b3o3b4ob3obo5b
o2b3o2bo2bobo2bobob2o3b2ob2o3bobob3ob4o2b6o5b3ob3obo4b2o3bo2b2o3b2obob
2o2bo3bo3b2o9b3o2b4o5b2obob3o7bo7bobobo2b2ob3obob2obo2b3obo5b3ob2o2b2o
4b4obo3bob4o2bo2b2ob2ob2o2bo2b2o3b2obobobo2b2ob3o2b4obo3b2ob2ob2ob2o3b
3o3b3obobob2obobo10b4o2bob2ob3obob3o$168bo6bo2b2obo3bobo4bo3b2ob3ob3ob
3obo4b3o4bobobob4o7bob2o2bo4b3ob5o2bo4b4o2bo3b2o7b3o3bobob3obo2bobo3b
5obo6b2o2bobob2o2b2o2b4o4bo3b2ob2o3bob2obobobo2bobobo3b3o5bo5b2obo3b2o
bobobo2b4o6b3o2b7o3b2obobo2b2obo4bob2o2bo4bob3o2b2obo2bo3bobobobob3ob
2ob3ob2o3b2o3b4obob5obo3b4ob2o$167bobo4b2ob5obo2bob2obo4b3o3b2obobo3b
2o6bo3b2ob3obob2obo3b2obob2ob2o2b3o2b3o2bo2b2o3b4ob2o3b3ob2ob2ob2o3bob
o9bo2bobob2obo4bobobob3ob2ob4o2bobob2o4bobob2ob3ob3o9b2obo3b4ob6obob3o
4bob2ob2o4b4obobobobobobo4b2o3bobob5o3bo5bo5bo2bo2bo4bobo2b6o2bo2bobo
2bobo2bobobobob2ob5obo2bo5b7obo$167bobo4bo2bo4bo3b3obobo3b2ob2o5b2o3bo
3b3o4b3ob2obobob10obobo2b2ob3obo4b3o4bo3bobobob2o5bobobobobob3o2bobo2b
3obobo5bo2bobob2o2b2obob4o4bobobobo2bob4o3b2o3bo2bo3bobo2bobo4b5obobob
2obo2bob4o3b4obob2o2b2o3bob2obob2obobob4o4bo2b2o5b4ob3o4bo4b5obob3ob2o
2b2ob2obo4bob3obo2b3o2b2ob4o2bobobob2ob2o$167b2o2b2obo7bob3ob2obo3b2ob
5o2b5obobob2o2bo2b2o3bo6b2o2bo3b4obobo2b2o2b2o3b2o2b2ob3o9b2obobobob3o
bo2bob3obo2b2obo2b2obob2ob2o2b2o2bob3ob3o5bo3b3obobobob3ob5o2bob2o3b2o
b2obob4obobobobo2bo7b5ob2obob2o2bobo2b2o2bo2b8o2b5o2b2ob3o2b3o2b5o2bob
2obo3bob3ob4o2b2o5b2ob3o3b3o2bo2b3obobo2b5o2b3ob2o$172bo3b3ob4ob2obo3b
6ob4ob4ob2o2bob2obob6o2bob3o7bob3o2b2o5b5obo4bobob6o3bobob3o3b5obob3o
2b4o2bob2o3bobobobo2b2o3b4obo2bobo3bo2b3o2bob2o5b6o2bobo2b2ob3ob3o2bo
2bo3bob2ob2o3b4ob4ob2ob2o6bobo2bobo4b2obo3bob2obo4bobo4bo2b2o2b2o2b5o
3b2o2b5o3bo2bo2bo7bo6b2o2bob2o2bobo2b2ob3o2bo$169b2o3bob2obo4b2o3b3o3b
3ob3ob7o3b2ob2ob4ob2ob2o2bo2b2o3b4ob3ob2o4b2ob5o3b2o3bob3o3bob2o2b2o3b
obob2obo2bo4bo2bob2o2bob2o2bob6ob4obob4o4bo3b3o3b2obo2bob2o2bo3bob2ob
7o2bobo6b3ob3obobo3b4o3bob3ob4o2b4o3bobobob3obo3b2o3b4ob2o5b2obo2bo2bo
bo2b4o3bob4obob2ob2ob2ob2o4b4o3bobob2o4b2ob6o$167bob5ob4o4bob4o3b11o2b
o2b3o2bo6b2ob2o2bo3bo4b3ob2o2b2o2bobob6ob2ob5ob2o2b2ob3o2b2o2bo2bobobo
3b6o2bo2bo2bobo3b2o8b2o2bo6b3o4b2o2b2o2b3o4b2o3b3ob2o2bo2b2ob3obobo3b
2o3b3o3bob5obob4ob2o2bob3obob2o2b2obo2b2ob3o6b2ob2o2b2obob3o3b2ob3ob2o
bob2obo3b5ob2o2b6o2bo2bobobo3bobobo2bo2bo2bo4bo$170bobo2bo4bo3b2obob2o
2b4o4bo2b2o6b3o4bo2bobobo4bob3o2b2o2b3o5b6o3b5o2bobo4b3o4b2o2b3o2b2obo
b3ob2ob2o2b5ob5o2bo6bo2b4obo2bo2bob2ob2o6b3ob2o2b4obobobo2bob2obo6bobo
bob2o3b2o2bobo2bo4b2obobobo2bob2obobo3b3ob2ob3ob4o3b2o2bo3b2o5bo2bobob
2obo2b2obobob2obob6o3b2o2b6o3bobo4bob8o3bo2bo$167b6obobob3o3bob2obo3b
4o2bo3b4obobobo2bo2b7o2b3obobo2bobobo3b2o2bob2obobo3b2obob4o13b5o3bo2b
2obo4bo2b2o4b3ob2obo2b2o2b5o2bo2bo2bob2obob2o2bobo6b8o3b2o2bob2obobobo
b2ob2ob3ob4ob2o2bob4o5bobo2b10o2bob2ob6ob2o2b2o3b2o3b5obob3ob3o2bob2o
3b2ob6obob4obob2o3bo2bobob2o2bo2b2o2bobob2ob2o3bo$169bo4bo4b2obo5bo3b
4obob3obobo2bo3b6o2b2ob3o3b2o2bobobo2b3ob2obobo3bob2ob2ob5o4b2ob2o2b3o
b3o6b2obo2b2o2b3ob2obo4b5o2bo2bobob2ob3o2b7o2b2o3b2o2b3o4bo3b2ob5o2b2o
2bob3ob2ob2ob3obo2b5obo2bobo4b2ob2o3bo3bo3bob2o4b2ob4obobob2o2b2o2bobo
2bobo2bo5bo4bobobob2o2bob4o3b2o2bo4bo2b5o3b4ob2obob4ob2o$168bob3o5b2o
2b4obob2o2bob2ob2o2b2ob4o2b2o5bo2bo2bo4b3o2bobo2b4obobo3bobo6bo3b6obo
2b3o2b2o3bob2ob2o2b2o3b3o2b2ob5ob2o3b2ob4o6bo2b3o2bo5b2o3bo3bo7bob2o2b
2o2bo4b2ob2obo6b3o2bo2b3ob3o2bo6bob2o3bobo2b2ob2o4bo2bo2b5o4b2o2b2ob4o
b2o4bob2o2b2obo2bo2bob4o3b5o2bo2bo2b2ob4o2b3o2bo2b2o3b5o2b2o$167b2o2b
3o2b3obo2b2ob5ob2obo2b2ob2o3b2o2bo2bo3bobob5o6b2o3bo2bo3bob3o2bobobo2b
2o2b3o2bob2ob3o3b3o4b2obo2bob2o6bob2ob2ob4ob2ob3o2b2o2b3o3bo2b2obo2b4o
4b6o2b4obob2obo2bo4bob3o2b2obo2bob2o2b2o2bob2obo2bob3o2bobo3bob5o2bo4b
5ob2obo5bob4obo2b2obo8b3o3bo2bo3b4o3bob2ob4ob2ob2obo2bob5obobob3o2bobo
b2o$170b2obobob3o2b3ob7o3bo2bob3o2bo2b3obobo2b3ob2obob2obob2obobobo2bo
5bo2bob2o4b2ob3obo2b3ob2obobobo3b2o3bo3bob3obob2o3bobobob3ob2o4b2o2b4o
2b3ob8obo3b3obob3o2b3ob4o5b2o3b8o2b2ob2ob2ob3o6b2o2b2obo3bo4bobo2b2o2b
7obob2obo4b4o2bo2bo3b3o4bo2bobobob6obob2o3b2ob3ob2obobo2bob2o2bo2bob2o
3bo2b2o4bo$168b7o4bo5bob8o2b7o2bob2o6bob3ob2ob2obob5obob2ob2ob3o2b2o2b
ob2obobob3obo2b2o3b3o2b2obob2o2b3obo4b2o3b4obo2b2obo3b3obo2bo5b3obo2bo
3bo3b6ob2o3bob2o4b4obo2b2ob3o2b5o2bob2ob2o2bo2bob2obobo3b2o2b2obob2o9b
2ob5ob2o2b2o2bobob3o3b2ob3ob5ob2o2b2ob2o2b4o2bob2obo3b2o4bo2b5o3b3o3bo
2b2obo2bo2b2o$168b4obobob2o2b2ob5o2b2ob2o2b2o2bobobo4bob5o3bo2bobob3ob
ob2o2bobo2bob2o2b6o4b3o2b4ob3o2b2o2b5obobob2o2bo3b2ob2o4b6o2bobo5b4obo
5b2ob2o4b3ob2obo6bob2o4b2o4bo3b4obob2o2b2o4b3obob2ob2o2b2o2bobob2ob2o
2bob2o2bob7obo4b2o2bobo6bobob2o3b2obob2obobo4b2o4bo3bo2b3o3bo2b4o2bob
4o3b2o3b4obobob2ob2obo$168bo2bo3bobo5b2o3b2o2bob2o4bob2obobob2o2b2ob2o
b4ob3obo7bobo2b4o3b2o4b3o2bobo5b2ob2obo2b4ob3o3bobo3bo2bob2obob10obo2b
4ob2ob2ob8o3b3o2b2o4bo2b2o3bob2obob4obo2bob2ob2ob2obo2b3o3b7ob3o2b3ob
3o3bo2bo3b2obo4b6ob3o2b2o4b4ob2o2b2obo2bo4bob2o3bo2b4o2bo4b2o4bo3b2o3b
obobo2b3ob5o2b2o6bobo$168bo2bobo2bo2bob2obobobo2b4obobo2bo6b7o3b7o3bob
ob2obob2o3bobo3b2o2bob2obo2b2ob3obo2b2ob2o4b4o2b3obobob3o3b2ob2o2b2o3b
o5bobob3obob3o2b3ob3obobob3o2bobobo6b2obobo2b2o2bo4b3obob2obob2ob4obob
3ob3ob4obobo3b2ob3o2bob4o4bo3b2o4bo3bobobo4bo3b3obo2b3o5bobobo2bobob2o
bobo2b4obo2bob2obob3o3bo3b3o3bo5bo$167b2o2bobob2obobobobobo2b2o2bo6b3o
4b4obo2bobobo3b2o3bo2b2ob2obo4bob2ob7o2b2o2bo4bob2obobobobo2bo3b3ob3ob
ob2obo3b4o2bob2ob2obo2bo3bob7obob2o3bob2ob3obo2bo2bobobobo3b3obo2bo2b
2obob3o4bo6bo3b2obo2b6obo3bobo2b5ob2o5bob2o3bo2bo2b2o2bobo2b4o2b3ob2ob
ob2o2bobo6bo5b3o6b2o2bo2bobob2o2bobob2ob2obobobobo2b3o$170bo2b2o4bob3o
b3ob2o3bob3ob2obobobo2bob2ob2ob2o2bob2ob4ob3ob5o3b2obo3bobo2b2o5bobo3b
ob2ob2obobo2bo3bob2ob2ob4o2bobob2o2bobo4b2o2bobobo2b2o4b7o2b3obo3bo2b
2obo4bobo2bo2b2o3bo2bo2b3o2bobo4b4o3bobo3bo3b2o3b2obob3ob2obob2o2bo4bo
b2o2b2obob2ob2o2bob2o3b2obob2o2b3o3bob3ob2obo2bob5o2b4o2b2o4b4ob2o7b2o
5b2o$169b6obo3b6o2bo3bobo2b8obo3bobob2o8bob3ob2o5bobob2o2b5o3bob2o3b2o
2b4o2b2ob2obobob3ob8o4bobobob3o2bo2b3ob2o3bobo3b2o4bob2obobo7bobob2o2b
3ob5obobo3bo2b2o2bo2bob2o2bo2b2o3b3obob3obobo2b2o4b2o3b5obob3ob2o4bob
2o2bo3bobo5b2o2bobo2bobobobo2bob3o2bob2o2bo2bob2o2b2o3bo3b5o4b2o4bo2b
2o2b2ob3o$167bob4obo6bobo2bo2bob5o4bobobo3b2ob2o3b7o4b9o2bo2bo9bo2bobo
2b2obo5bob2o3b2ob3o3b4o5bo2b8o2bobobob2ob3ob2o3b2o3bo2b2ob2o3bob2o2bob
2ob2obo2b2o4b2o2bo2bo4bo2bo2b2o2bo5b3obo2b2o3bo3b5obo6b5ob5o5b3ob2o2b
2ob3obo2bo2b2o2bo2bo2bob2obob2obobo2b2obobo6bo3b3o2bo2b2ob2o9b2ob3o2b
2o2bo$169bo2bo2b2o2b2ob3ob2o3b3o2bob2o2bo6b5o3b2o2b3ob2o5bob3obob4o2b
6o3b4o4b2obobobobob2o3bo2bobo3bo2b2obob2o2bo3b2ob3o2bobo2bob2o6bo8bo4b
ob3o4b3o4bo5bo2b2ob3o2bobo2bob7o3b5ob3ob2o2b2o3b2ob4o2b5ob3ob2ob2ob4o
2bob3o3b2o2bob4o2b2o4b3o2b2o8b5o3b2obo4b3ob3obo2bo2b3obo2b4obob2o2b2o$
171bobob4o2b3o4b4o4bo3bo2bob3o4b3o2bob2o2bob4obobob2ob3ob3obo2b4o2bo3b
obo2bo4b5o3bo2bo2bo2bo2b7obobo2bo3bo2b2obob6o2bo2b5o3bobo4bobo2b3obo2b
2o2bob6obo2b2o3bo2bo2bobo3b2obo2b2o2b2ob3o3bob2obobo5bob3ob3obo2bob3ob
6obob2o2bo6bo3b2o2bobo6b3o4b4ob3o2bob2o2bobobo2b3obo3b3o2bob2o2bob4obo
$167b4ob7ob3o2b2o4b2obo4bobob2o5b3o2b2ob4o2b4o2b2obob4o2b2obo2bob3o7bo
6b3obob2obo2b4o3bo2b2o4b2obob2o2bo3bobobo5bobo2b8o2bo5b2o2b4o2bobob2o
4b2o2bo2b2o3bobobobo2bobo2b2o6bob2o3bob2o3bobobo4b3o4bo4bo2bob3o3bobob
o3b3o3b3obo2b3obobobo2bob4o2b2obob3ob2o2bobo2b2o3bob2obobo3b2ob2o2bo2b
o4bobobo$169bobob2obo6b2o3bo2b2obobob2o5bobo3b2o2b3obobob5o3b2obob2o2b
obo3b2o2bo6bobo4b2ob4obo2b4obobo4b3ob2obob4ob3o2b3ob2o2bobobob3o3b3ob
3o3bobobobob2ob2obo2b3ob2o7bob7obobo3b2o2b2obo2b2obob2o3bo2bo2b2o3b2ob
ob2o4b12o2bob2obobob2obobob2obob2ob5obobobo3b5ob2obo2b2o3bo3bo5b3ob3ob
6obobob3obo2b2obo$167bob2o2b2o3b3o2b2o2bobo2b3o2b3obob2o6bo3b4o3bob2o
2bob4o5bob2obo2b2ob2o2b2obo4b3ob3obo2b4obob4o8b2obo4bo5bob2obob5o3bo3b
5ob5obobo2b3o3bob3o2b2ob2o2bo5bo2bob2o3bobob4o7bob3obobo3b7ob3o3bo3b2o
2bo2b5obob2o2b2obob2ob2o2bobobob3ob3o2b5o3bo2bob2o2bobobobobo3bob2ob3o
4bob4o4b2o2bo3bo2bobo$167b3obob2o3b2o2bo2bobob2o2bo2bo2b2o2b2ob3o3b2ob
4obobo4bo2bo4bobobo3b2o2bobob5o3b2obo2bob2o2bobo3bobo2bo2b3o3bob4ob3ob
6o2bo3bo6b2ob2o2bob2ob2ob3o2bo2b2ob6o2bo3bo2b2o3b3obob3o3bo4bo5bobo2bo
2b3obo2b2o2bo5bob3obo2b3obo2bo2bo6b2o2b2ob6o2b3o2b2obo2bo3bo2bobobo3b
3o2b2o2b5ob2obo2bo4bo2b2o2b2o2b3obobobobo2bo$167bobo2b3o4b3ob3o2b2ob2o
2bob3o2b2o2b2o2b2o4bo2b3o3b2o3b2o2bo2bo3b5obob2o2bobob3obob2o3bo8b2o2b
obo3bo2bobobobo2bob2o3b3o5b4obobo3b2ob2o4b4ob3o3b2o3b2ob2o5b7obobo3bob
2obo3bob3obo7bo3b3o3b6o3b3ob2ob5obo3bobo3bob3obo2b3o3bob5obob4o3b2obo
4bo2b2obob2ob2obo2bo2bo2bo5b2ob2o2b4obobo2b3ob2o$167bo2bo2bo6b2o2b4o6b
obobo2bo2b3o2b2obobo4b3o3b3o3b6o3bo2b2o3bo3b2obobo3b5obo3b2obob4ob5ob
2ob2o3bobob2o3b2obobo6b4ob2o4bob4obo2b2ob4obo6bo2bobo2b4o2bo3b2o2b6ob
2o3bo2bob2o2bobo2b4o4b2ob2ob2ob4o4b5ob3ob4obob3o2b3obob2obo2bo2bob5o5b
3o2bob2o3bob2obobo2b2obo4b3ob2o2bobo2bo2b2ob4obobob2o$167b3ob2obob3ob
2o2b2o2bob2o2b4ob2ob2obo3bobo9bo2bobo2b5ob2o5b7obobob3obobo5bob3o2bobo
2b5o2bobobob2obo2bob2ob7o16bobo3bob2obo3b4o2b3o3bobob6obo2bo3bo2b3o3bo
bo2b3obo3bobo2bo3b3obo2b5o7b4obob2o3bobo3b2obobob4o2bo2b3o3bobobo7bob
2obob4obo4b4o2b2o3bo2b2o3b4o2bobo2b3ob2ob2o2b3o$167b2o3bo2bo4bobob4o3b
o4b4ob2ob4o9bo5bobobo2bo2bo2bo2b3ob3ob2ob4o2b2ob4o5bob3o2bo2b3ob3o3b4o
2b3o2bo2bo6b2obo2b3o2bo3b3o2bobob2o3bobo2bo2bobo2bobobo2b2ob2obobob2ob
obobobo2bobo2b2ob2o4bo4bo2bob3o2bo5b2o2b2ob5ob3obobob3o6b7obob4ob2o2bo
2b2o2b3o3b3o3b2o2bo2b3o4b2ob2ob4ob2o2b5ob3o3bobob2o$168bo2b3o2bo2bob2o
bob2o2bo2b5ob4o5bo3bob2o2b4o2bo5b6ob5obo2bo3b3o4b2ob4o3bo3b5o2bobobob
4ob3obo2bobo3bobobobo2b3o2bob7ob2ob3o2b3ob4ob2ob2o2bo5b2obob3obo4bob2o
8bo2bob2o2b4o3bobob2o2b3obo2bo2bobob6o2bob3obo5b2o4b3ob2obob5ob3ob3obo
bo3b2o2b3ob7obo4b4o3bo2bob4obo2bobob3obobo2b2o2bo$168bobo3bo2b3o5bob5o
3bob3o2bo2b2o2b2ob2o3b3ob5o2bobo3b3o2bobobobo2bo2bo3b2obo2b4o3bo2bo3bo
2b3obob2ob14ob3o3bo5b3o2bo2b3o5b4o4b2obob3obo3bo2bobob3o2b2obo3bo2b3o
2b4o4b4o5bo4bob6o4bo2bob6o3bo2bobobo2b2o6bob5ob3o3b2ob2o3bo3bo3b5o4bo
5b4ob3o2b2o2bobobo2b3ob2obob2ob4o2b3obo$167b3obobo3b4o3bo2b5obo3b4o3bo
2b2ob4o3b4o4b2ob2o2bobobo5b2o2bo3bobobo4bo2b3ob2o2bo2bobo2bo5b6ob2obo
2bob2ob3obo4bobob2o3bo2bo4bo4bobobo2b5ob3ob2o5bo2b4o2b3ob3obobo4b3o4bo
8b2o3bo3bo2b3ob5o3b3o4bobo2b3o2b2ob3o3bo2bo4bo2bob3o2bobo2bo2b3ob6obo
2b3obob5o2bobobob2ob2obob2o2b3ob3o2b2o4bo$167bobobob2o2b6obo2b2o2bobo
2bob4obob2o2bobo3b2o4b2ob2o2bo3b2ob2o4bo2b3o3b2o4b2o2b5obobo6b2o3bobob
o3bo2b2ob2obobobobo2b4o3b3ob2o3bobo4bobob3obo3bob4o4b2o3b2ob2o2bobobo
2bo2b2obo5b2o4bo3b3ob3obob3obo4bob2obob3o4b2obo2bo3b4obo2bob3obobobo4b
o5bo2b2obobo3bo2b5o3b2o2bo5bo4b2o2bo3bobobobob2ob3obobobob2o$170bo2bo
2b4o2bo2b2o4bo2b4o4b3o7b2obob4ob2ob3o7bob3ob5o2bob2ob2o2b2o2bobob3o2bo
b2obobob2ob2ob2o4bo2b3obo2bo2bo2b2o2b2ob2obo2bo3bo3bo4bob2obobo2b4ob5o
b5o2bo5b5ob2o4b2obo3b2o4b2obob2o2bobob3o2bo4b2o2b2obobo2b2o3bo2b2obob
3o5b2ob3obobobobobo2b2o2bobob2ob2o2b2obob2obobo4bo2bobo2bo3b3o2b4obo2b
3o2b2o4b2o$167bo5bobobo5bo3b4o2b2obo2b2ob3obobo3bob2obob2o3bo4b2o2b2ob
3obob2o2bo2b2obo2b3obo2bo2b3obob4o4b2o4b3o4bob2o3b3o3bob3ob2o2bo2b3ob
2obo5bob2ob2obob2o2bo2b3ob2ob2o2b2o2b2ob2o4b2obo2b3obobo2bo2bo2bob3o2b
obob2obobo3b4o4bo2bobo5bob2ob4obobob2ob9o2b2obo2b2o6bob6ob2o2b4obob2o
2bob4ob2o2b2o2bo4bo4b3obo2bo$171bob2ob2ob4o3bob2o3bo2bobobo2b2o2bobo2b
4o2bo3bo3bob3ob2obo2bobob3o3bob3obo5b2o5b2o2b3o4b2ob2obo2b2o3b4ob4o3b
2obo2b3o3b2o2b4ob3o3bob3ob2o2b2o2bo3b2ob2o6bob2o3bobob2ob3o2b2o2bo3bob
5o2b2ob3ob2ob2obo6bo3b5obobo2b3o2b3ob4obo2bob3ob2o3b3o4bob4obo3bo2b2o
3b2o3b2o4b5ob2ob3o2bo5b2o2bob3o2b4ob2o$167bo3b2ob2ob3obo4b4ob3o2b3obob
3ob2ob3o3b2ob2o2bo3b4obobo3bob2obob6o2b2o3bo2bobo3bo2bob4o2bo3b4obobo
2b3o2b2ob3ob3ob2o3b5obo5bob2o2bo2bobo2bobobo2b2o2b2o4b5ob2o5bo2b4ob2ob
2o2b8ob7ob2ob2ob2obob3o2b3obo6bobob2o2b2obobo3bob3ob3obo4b4o2b5ob5ob2o
bobobob3ob5o3b3o2bobobo2b2obob2ob2ob4ob4o3bo$167bo6b2o3bob8o3b2ob6o2bo
bob2ob4o2bobobo2bob2ob2o2b2o2bobo2bo3b2o4bo3b2obobo4bo3bo3b2o2bob3ob6o
bo3bo2b5o3b6o4b2obob9obo4b3o2bob3o2bo2bob2o7bobob4o2b2o3b4ob4ob2ob10ob
5ob2obo2bo3b2ob3o10b2o4bobo4bo4bob2o2bobo9b2ob2o2b2o5b2o6bo3b2o2bo2b3o
bobobobobob3o2bobo2bo5bo$168bobobo2bob4o2b2ob2ob4o2bob4obobo3bobobob4o
2b2o6b2o2bo3bobob2o2b2obobob2o2bo2bo2bo3bobob2obob2o2b3obob3o3b2o2b5o
5bobobob3o2b7obob4obo3bob2o3b3o3b5obo4bobob2obobobo3bo3bobo2bob3o2bob
2o3b2ob2obobo3b6obo5b3o2bobobob3o2bo4b2obo3b3obob2o9bo2bo5bo2bob2obob
3obob2o2bob2ob6o3b6ob3o2bob3ob2o2b3o$167bobob2o3b3o2b2o2bob2obob2ob2o
3bo2b3ob2obo2bo2b2o6b3obo3bobobobobo3bob3ob2o4b3obo2bo5b2obob2o2b3obob
obo3b3obo4bo2b3o2bo3b3ob2ob3obob4obo2bob4o5bo2bo4bo2b2ob2ob2ob3o4b2obo
bo2b2obobobobobob5ob4o3b2o4bobo5bob3obo5b11obob2o3b3ob4o2b2ob2ob2o2bob
o2bo3b2o3bobo2b2obobobo3bo3bo4b2obobobobo2bob8obobo$167bo2bobo7b2o2bob
obobo2bobob3o3bo2bobob2o2bob2o2bo3b3o2b2o2b2obobobo2bobobo4b3o4bob5o2b
2o3b3obob2o8b4o2bobo2bo2bo2b2ob2o2bob5o9bo3b2o2b2o5bob2obob3o3b4ob3obo
bobobob2o2b2obobob3obo2b2ob5ob2obobob6ob2obob2o3bobo2b3o3b2ob3o2bob2ob
o3b2obobo4b2o3b3obob3o2bobo3b3o2bobo4bo2bo3b2o2bo2bobo2bobo2b2o2bo2b4o
$168b2obob3o4b2o10b2obobo3bo3b3ob5o2b3o2b3ob3obo2bobobob4obo4b2ob3o2b
3ob2o2b2ob2ob3o2b3obo3bo3b2obob7ob2obob2ob5obobo3bo3bo2b3o4bob2ob5obo
3b2ob2ob4o2b2o2bo4bo3bo2bobobo2b2o2b2ob4obo3b3obo2b2ob2o2bo10b2obob2o
2bo3b4o2b3ob2o6b9o2b2o5b3ob2o2bo2b2o2bob3obo3b2obobo6bobobobo2b5ob2obo
2bo$168b5ob3o5bobobobo2b5o7b2o4b2ob2obob5ob8o4bobo4bo2b2ob2o3bo2b3o3bo
bo3b2obo2b2ob2ob2o3b2ob3obo2b2o2bo2bo5b2obob4o2bo3bo3bo2b2o3b2o5b2o2bo
b4o4bobobo2bob2o2b2ob3obob3obobo2bo3b3obobob2o3bo3b7ob6o4b2o7bob3o2b5o
b2obo2bo6bo4b3ob6o2bob2o3bo4bob2obo4b2obo2b4obo2b5ob2o2bo4bobo$168b3ob
o4b2obo2bob4obo4b2o4bobo2bob2obobo3bo3b2o2b2obo3b2obo2bo3bob2o2bobob2o
2bob5ob3o2b2o3b4o2b4o2b4o2bob3obo2b3o2bob2o4bob3ob2o3b2ob2o2bobob4ob4o
3bobo2b2o2bo2b2ob4obo9b4ob4o2bo2bobob5obo2b2o4bo3b5obobo3bob2o3bobo3b
7ob3o2b3o6b4o4bo2b5o2bob2o2bo2bob2obo4bo3bob3ob3o3b2o9bo4bo$173b2o2b2o
3bo3b3ob3o2bobo3bob2o3b3o2b3o3b2o3bo2bob2obobo2b3ob5obo2b2o2b2o5bobo2b
o4b2o5bo3b2ob4ob5obobo3b2o2bo2bob2o2bo3bo3bobobobo3b2o2bobo2bobob6o2bo
2b5obob2ob2o2b2obo2bobo2bo2bobo2bob2obobob2ob2obo3bobo2b2o3bob2o2bo2b
2ob4ob3o2b3obo2b2ob2ob2o2b3obo3bobobob2obo2bo2b3ob3o4bob2obobo4bobob2o
3bob7o3bo2b3o$167bobob3obob3obo3b3obo2b3o6b3obo2b4obo8b2o3bobo2bob4o2b
2o2b2o2b2obo2b4obobo2bo4b2o3bo3bo8b3o4bo2b2o2b3o2bobob4o2bob3ob3obo2b
3ob2o2bob2o2b3obo4b3o2b4obobobob3o5bob3o4bob2o3b3o6bobobo2b2o3b2ob5o3b
ob3o2b5obo3b2o3b2o2b2o2b2obob2ob2obo5b3o2b2o7bo4b5obob2o3bo4b2ob2obob
2o4b9o2bo$168bob2o2b2obo2bo2bob4obob5obo2bo2b4o2b2ob3obob2obob3o2bo2b
2obo3bo2bobobobo3bobob2o2bob5obobo3b2obob2o2b2o3b3ob3obobobob2ob2ob2o
2bo3bo2bob3obo2bobob2obobo2b2ob6o2bo3bobo2bobo3bob2o2bo3b2o3bobob3ob2o
b5o2bo2bobobo4bobobobo2b2obob2o2b2o2b5o4b3obo3bo3bo6b2obo11b2o2b4o2bob
o3b3o2bobobo3b6ob4o2b2ob2o2bo3b2obo$172bo2b2obo6bo3bob3o3b2obo3bobobob
2o6bo2b2o4b3ob4o6bo5b2obo5bo4bobo2bobobo2b4o2b3obo3b3ob3obo2b2obo2b2ob
8ob7o8bo2bobo2bobobo2bo3b2ob4obo3bobob2o3bo4bo2bo2b2ob4obo2bo6b6o4b2o
2b2obobob2obob2o3b2o2b2obo3bob2obo2bo3bob2obobob2obobob2o10b4o2bo2bo
12bo3b2o4b4ob4ob2o2b3o2bo$167bo2b3ob2o2bo3b4o5bobobobo3bobob4ob2ob2obo
3b3obob3o6b2o2bobo7b2o4b2obob3o5bo2b2o2b6obobobobobob3o2b5obo3bo2b2o2b
2obo3bob2obo2b2o3bo3bob4o3b4ob3o3bob2ob2ob3o2b2ob2o4bo2b2obobobo3b2ob
3ob6o3bo3b3obob2o5b3obo5b2ob4o7b3ob4o3bobobo3bo2b2o5bobo7bo2b3ob2ob2ob
2obo2b2obo5b7o3bob4o$168bob2obob2o2b5o3bob3ob3obo2bo2bo5b4ob4obo2b2obo
3b4o3bo3b6o3bobo2b2ob4obobobo2b2obo4b5o2bo2bo3b2ob2o2bob3o7bobo2bo3b2o
bo4bo2bo2bo4bobobo2bo7b2o3bo3b3ob2o6bo3bobob2o6bobobob6ob2o4bob3obobo
4b2obo3bo2bobob2obo3b3ob3ob3obob2o7b6ob3o2b2o4b3obo2bobo3b2o3bo3bo2b3o
b2o3b3o3bo2bo5bo$170b2o3bo4bobo2b4o4b2obob2ob2ob2ob2o4b3obo3b2obob2o5b
2ob2ob5o3bo2b2ob2ob6o2bo6b2o4b4obobobob2obob3ob2o2bobo2b2obo3bob2o2b2o
b2obob4obo11bo4b2obob7obob3o2bo4bo5bo4bobo4b3o5bobob3ob3o4bo2b2o3b4obo
bob3o4b2o3bo2b2obo5bob2obobo5bobo2bo2bo2b3o3b2o2b2obo2b2obo3bobo5bo5bo
bo2b3o6b2o$169b6obobo2b2o2bob3obob3obo3b2o3bob3o4bob4ob4ob3o2b2obob4ob
2o4bobobob3o4bo8b2o2b3o2bo3b2o2b2ob8o4b2o4b2ob4o2bobo2bo6bo2b2o3b3o2b
2obo2b2ob4ob3ob4obo2bo2b3ob2o3bob2ob2obo4b3ob4o8bo8bobob2ob5o3bo3bo2b
2o2bo2b2obob3obo2bo2b5ob2obobo2bobo4bo3b2o2bo3b2obo3b4o3b2o3b3ob2o5b2o
b4o$167b3o4bo3bobob2obobo3bobobo4b3o3bob2o2bo2bo3bo5b2o2b2ob5ob4o3bobo
b2o4b3ob3o2b2o2bo2b3obob2obo4bobo2bobob3o2bo2bo11bo2bob4o3bo2b3o2b3ob
3o5bo2bobobo3bo4b3obob5o2bobobo2b2ob4ob2obo3b4obobob5obo2bo4bo9bob4o2b
o2b4obo2bo3bobobob2o2b2o3bob2o2b4obo4b2ob2o3bobo2b2ob2ob2obo3b4ob2ob3o
2bo2b4o2bo$167b4ob2o5bobobobobo2bo2b2o3bo2bobo2bobo2bo4b6o2bo3b2obo3bo
b3ob2o2b3o2bo3b6ob5obo2b2ob2obobobo3b4ob3ob2ob4obo2bo2bob4o3bo4b4o2bob
3obobo3b2o2bo2bo2b3o5b2ob4o2b2obo3bob4obobob4obo3bob4o2b2obobo8bo2bo2b
2o2bo2b2ob2o3bobo4b4obob4obobobobo2b2ob2o4b3obo4b4o2b2o4bob6o4b5obobob
o5b4obo2b2obo$169b5ob3o2b2o2b4o5bo3b4ob2o2bo2b3obobo4b5o3b2ob4o5bob2o
3b2o4b6ob9o2bobo2bobo3bo4b4o2bo2b2o2b2o4bo2bo3b2o3b4o4bo2bo3b2ob5o4b2o
bobo6bobobob6obobobo4b3obobobob2o2bob2o6b2ob2o4b6ob4o2bob4obob3ob2ob2o
b2o2b2obob2ob2o2b3o2bob5o3bo2bobob4o3bobob2obobobob2o4b3o2bobob2obobob
4o5bo$168bobob2ob4o3bobo4bobo3bob3o3b2ob4ob2o5b2o2bo2b4obob8o3b6o2b2o
2b2ob4obobob2ob4ob3ob2o2bo4b2obo2b3ob2o3bob4ob4obo2b2o2bo2bobo2bo3bo3b
o2bobo2b5o2bob2ob2obo2bob5ob3o2b4o5b2ob3ob3o2b6obobo2bob2o2bo4bo3b4o4b
3o2b2o3b3obobobo3b5ob2obob3o4b3o7b2o5b5o3b3o7b3ob2o2b2o3b2ob2ob2o3b2o$
167bob3ob3o2b4o2bobobobo3bo2bo4bobo2b3o2b2obob8o2b6o4b2o4b5o4b2o3b3ob
4ob4ob3o3bobob4o2bobobob4ob4o3b4o3b2ob3o3bo2bo2bo3b4ob5o3b2obob2ob3ob
3ob3obob5o2b2o3b2ob2obo3b3o2b7o2bo4bobobob2ob2o2bo2bobo4b2ob2o4bob3ob
2o2b2ob2obo2b4ob5obo5bobobob4o2b2obo3bo2bob2ob2ob2ob7obobo5bo4b3obo$
167bobobo2b2ob2ob2obo3bo4b2o2b6o7b4o4b2o2b4o3bob4o4b6o3b4o10bo2bo2bo4b
4o2b2ob6o4b5obo5b2o2bo5b4o4bob2o2b2o2b3obo3bob3o5b2o2bobo6b2o3b2o2bob
3ob3ob2ob2obo2bobo2bo2b2o3b2obo4b2o2bo2bobo4b2o2bo4b2o3b2obob2ob2obobo
2b3o2bobo4bobobobo2b2o10b3obob2obo2b3ob8obob2ob3ob3ob2o2bob2o$169bo3bo
4bo2b6obo5bob2obo5b4obob2o2bo3bo3bobobobo3b2o2bob3ob4o2b3o2bo4b2obo2b
2ob5o4bo2b3obo3b3ob3o4bo2bob2ob2o2bobobo2b2obobobob3o5bobo3bo5b2ob5o2b
2o3bob3obo2bobob2obo4bo3bo3b2o2b3o2b2o2b3obobo5b3obo5b3o2bo2bob2o4b5ob
o2b7o2bob2o3bo3b4obob5o5b3obo2bo2b4obob2o6bo5b3ob6o2bo$167bo5bobo3b3o
4b7ob3ob3obo3b2o3bobo3bobob3o2b4obob3ob2o3bo3bo3b3ob5o2bob6obo2bo3b2o
2bob2o3b2obobo4bo2b3ob2o6bo2b3ob2o5bo2b2ob4obob3ob2obo3bo3b2o2bob2o2bo
5b2o2b6o2b2o2b2ob2obob2o3bo3bobob6o2bo2bob2o2bobo2bob5ob3o2b2o6bob4o2b
2o3bob2o3b3o4bo2bo4bo5bobobobob2o3b2ob2ob2obobo2b3o3b3o5bo$167bo2b3o3b
ob3obo3bobob3ob2o2bo2bo2b9obob3ob2o2bo2bobo3b4obo6b2o2bobo2b2obo7b3obo
4b4ob2ob3obo2b4o2b2o2bo2bo2b3obob2o2b2obo4b3o2b6ob4o2b2o2b3obobo2b2ob
2o2b2o2b2ob2o7b3o4bo2bo2b2o2bob3ob3o2b3o2b3o2bobo2bobobob3ob3o3b9o2bo
3bob2obo2bob3o2bob3ob4o5bobobo3b2o6b3o2b3ob3ob3o2bo9bo2b5o$167bob3o4bo
4b2ob2ob2ob3obo2bo3bob2o2bobo3bobobo2bo4bob2o3bo4bo2bobob2obobo3bo3bob
o2bobo5bo2b3ob3ob4ob2o3bobob3obob2ob2o2b4o2bo5bo2b2o2bo3bob5o2b5o2bo2b
2o2bobo4b2o2b2ob2obob2ob2o3bo3b3ob4o5b3obobo5b2obo3bo6bo3b2ob3o2b4ob2o
b2obo3b3o2b8o3b2o3b2ob5ob2o3bobo4bob2o2b3ob2o2bobob3obob2ob2ob2obo2bob
obo$171b2o3bob2o3b2o4b6obo3b6obo2bob2obo3b3obobobo2b2obob2obo3bo3b2obo
2bobo2b4o3b3o2bobob3o3b3o4b2obo2bo4bob3o3b7ob4o2b3o4b2o3b2o3bo3b3obob
3ob2ob2o3b2obob2obo2b2obobo4bob5o4bobo3b3obo2bo6b2o5bob2o4bob3ob2ob5o
2bo2b5o3bo4bob2o6b2obob2o2b3ob4o3b5ob3o3bo3b4o3b2o3bo2b2obo2b2o3bo2bo$
167bob3o4b2o3b2o2b2ob4o2b5obo2b2ob3ob3ob2obo2b3o2bo2b2o3bobo5b7o5bo2b
7o2bo2bo4b5ob3o2b7obob2obo4bo2bo2bobob3obobo2b6o3bob2o5bob2ob2ob2o3b
12ob2ob4ob5o2bob3o5bo2bobob4ob7o2bobo6bo2bo5bo4bo2b2o3bo3b4obo2bo2bo2b
o3b2obo2b4obo2bo3bo2bo3bo2b4obobobobobobo2bob2ob2o2bo2b2obobobobobo$
168bob8o2bob2obo2b2ob2ob4o4b2obo4bob2o3bo6b5ob2o5bo2bo3b4o3bobo5bobobo
b4o7bo5bo3b2o2b2o4b2ob2o2bo2bobob2o2b4obobob6ob2ob2obo3bo2b2o2b3obobob
obo2bo3bobob2o3b2ob4o3bo2bobob2obobo2bo2bo2b4obob2obob2obo3bob2obo2b2o
2bo6bo3bo2bob3obo2b2ob2o3b5obob3o5b2o2bobob2o3b7o3bob4o2bo2bo2bob6o3b
2obo$167bob2ob2ob3ob2obob2o2b5o4b6o4bobo2b4o2b2obob2o2bob2o4bo3bobobob
o5bob3obo2b3o4b2ob4o3b4obobob2o3b6ob3ob2o2bo2b2o6b3o2bobobobo2bo5b2o2b
o3bo2bo3b11ob6ob5ob8o2bo2b3o2b5o2bob3o3bo3b2ob2ob2o2b2o4bo2b2o2b2obobo
2b2ob2obobobo2bob2o3bo5bobo2bo4bobobob2ob3o2bo4b3o2bo4bo3bo2b2obo2bob
2o2bobo$167bo3b2o2bob6ob4o2bobo2bobo2b3ob4o3bob4obo2b2o2b2ob5o2b2o2bo
3b3o2bo2b2o4bo2b4o3b3obo2bo3b2o4bob2ob2o4b4obobo2b2o3bo2bo3bobo2bobo3b
o2bo2bo7bobo2bobo4bo2b3o5bo2bo5bobobobo4bo2bob5o2b4ob2ob2ob3obo2bo2bo
5bob3o2bo3bo6b2o2b4o3b2o5bob2ob2ob2ob2obo2bobo3bobobobo3b2ob2ob2obobob
2obo2b3o3b2obo3b2ob3ob2o$169bo6bob2ob2obob3o2b3o5b2ob2o5bo2bobob2ob2ob
2ob2o2b2ob2obobobobob3obobo5b2o3bo2bobob2ob3obob2ob3o2bob2ob2o4bob2ob
5o3bo2b2o4bo4b2o3bo2b2o3b2o2b5obob4ob4ob4o2b4o5bobob2o2bobo3b4ob3o2b2o
3bob3obobo8b2obo2b2o2bobo4bo10b3o3b2o5b3obob2o6b2o2b3obo2bob2ob3o4b2ob
2obo2bo3bobo3b2ob2o3bo3bo3bo$169bobob5o2b2ob2o2bo3bob5obo6bob2ob4ob2ob
3o3bo2b3ob2o3bobobo3b2o6bobobob3ob2ob4ob3o4bo2b2obo2bob4ob2obob4o2bob
4ob3obo3bo3b2ob2obob2o2b2ob2ob4o3b2o2bobob3o3bo3bob3o2bo5bob3ob2o2b2o
5b3o2bob4ob2obo3bo7bo3b3o2bo2bob2o3bo3b6o2b2o2b2ob2o3bo3bo3b2o3bo2b3o
2b3obob2o3b2o2bobob2ob3obob4o4bo3b3o2bo$167b2ob2obobo4b2obob3obo3b2obo
3b4ob2o3bo2bo3b2o3b4o2bo3b2obo3b2ob2o5bo2b2o3b10ob5o7bobob2obob3obobob
o2b2o4b4o2b3obob2obo2b3o5bobo2b2o2bob3obo3b2o2b6o2bo2bobo5bobob4o5bob
2obo3bo3bobobo2bo5bo2bo2b2o3bo6bobobo3bob5obo3b2o2b4o3b3o2b2ob2o3bob2o
2bob2o2b3o2b3o2b3ob2obo5b3obobo3b2obob2ob3ob2o$167b3ob3o4b3o2bo2b2obo
4b4o2bob2o4b3o3bobo2bo2bob2o2bo3bobobo2b2o3bo3b3o2bob2ob2o2b4o2bob2o4b
2ob2o3bob4o4bobo4bo3b3o10bo4b3ob3obo2b4ob3ob2o2b2o2bob3obobob5o11bobob
2o2bo2bo2bobo2bo6bo2bob2o4bo6b2o2b3obo5bo3bob2o2bob2o2bob2ob2obo6bo4b
2obo3bo3bo7b3o3bobo3bo2b3ob2o2bo2b2o2bo4b4o3bo$167bob3o2bob5obob7o3bob
3o4b3o2bob2o2b3obo6bo3bobobo3b2obo2b3o2bo3bobob3o3b4obob3ob3o2bo4bo3b
3obo2b2ob9o2b2ob2o2bob8o2b3o5bo3b2ob3ob3o3b2o3bob3o2bo3b2o3b5o3b10obob
obob7o7b4obo4bob2o4bo2b2ob2o2b5o2b8o2bobob3obo4bo3bo7b2ob9o4b3o5b3ob2o
2bo3b5ob2o2b2o3bo$167b5ob4o4bo3b3o3b2ob3obo4b3o4b2ob4o2b2obo3bobobobob
ob3o2bo3bo2bo2b2o2bo4b5o4b2ob3ob4ob5o2bobo3b6obo3bob2obo2b3ob3o3bob4ob
3ob3ob4ob2obo3b3o2bo2b3o4b4ob2ob3o2bobo2bo3b2o3b2ob2o3bo2bo2b2o4b2o5bo
2b5o5bo6bo4bo4bob2o3bo2b3o2bo2b2o4b3ob7obo2b4ob2obob3ob5o2b3ob2ob2ob2o
6b4o2bo$167b3ob4ob2o2bo2b2obob2obo2bob2obo5b3o7b2obo3b4ob3o2bobobo2b6o
bo4bobo2bobobobob2o5bo3b3obo2bo4bobo2b5obob5ob3obobobo2bobo2b2ob2o2b3o
2b2ob2obo4b2obobo4b2o2b2ob2obo4bo2bo2bo2bob2ob2o3b2o5b5obobobo3bobob4o
b2o2b3o3bob2ob2ob4ob2o2bo2b2obo2bob2o2b2o2b2o2b2obobob5o3bob2o2bob3o3b
obo3b3ob3ob3o2bo3bo3b4obo2bo$170b2obobob2ob4o3b2o2bo2b3obo2bobo3b2o2b
2ob2o3bo4b2o5b3o4bo2b5obobo3bo4bob3ob5o2b2o3bo3bo2bob2ob3o3b2ob4o3b3ob
2obob2o4b5ob3o3bobo2b2ob2ob2o2b4o2b2o6bo5b4ob3obobobo2bob5o3b2ob3o4bob
5o2b5ob2o2bo2bo3bo2b2o5b3ob2obo2b2obobob4ob7o4bobob2o2bo4b3ob2o5b3ob2o
b2ob2ob3obo2bob2o2bobo2b2obo2bo$168b2o2b4o6bo2b2o2b2ob2o2bob2o3b2o4bo
2bo2b2obo2b3o2b2obo2bobo4bobo2bobob7o4bo2bob3o3bo2b2obo4bo2bob2o2b3ob
3o2b2obo7b16ob3o4b8o3bobobo5b3o3bo3b2o3bobob2obo2b2o4b2obo4b2o4bobob2o
2bobobob2o2bob2ob2obobobo2bob3o4b3o3b3o3b4ob2o4bob4o2bobo4bo3b2o2b2obo
2b4ob2o3bo2b6ob2o2bo2b6o2bo2b2o$172bobobobo2bo2bo2b3obobob4obo4b2o3b3o
4b2o5bo8bo2b2ob5ob2o3bo7b2o2bo4b2obo2b2obo2b5obob3o2bob3o2b4o6bobobobo
5b5obobo3b7o3b2ob3obo4b4ob4obo2b6o2b2o3b3obob5ob3o3bo3b2o8bobo3bob2o2b
2o3b2o6b2ob3ob2o2b2ob3o5b2obob3o3bo2b3o3bo2bo2b2ob3o2bo7bo4b2o3bob2o2b
3ob3ob2o2bobo$167b5o5bo4b2ob2o2bobobo2b5obob3o2bo4b2o2bob4o2b3obobo2b
5ob2ob3o4bo2b2ob2o2bo2b2obo3b2o4bo4bobobob3ob4ob2obobo3b2obob5o3b2o7bo
2bo4b3o4b4o2b3obo6bo3b4ob2ob6o5b2obob2o3b2obo3b4o3b3obo2b3obobob4obob
5o4bo4b2obo2bobobo6bob5o2bobo2b3o2bo2b4o3bo4bob6ob10obo3b2o2bo2bo4bo2b
o$167bob3o3b4o3bobo3b4ob3ob3o2b5o2b2ob2o4bo2bo5bob6o3bobo3b6o4b2ob3o2b
3obo2b3o6bo2b2obob2ob3o2b3o2bob3o3bobo2b2obob2o2bo2b3o2bo2b4ob4o3bo3bo
4b2obo3bo3b2ob2o2bobob4obo9b2o8bobob2ob2o2bobobo4b2o2b2ob2obob2ob4o2b
2o2b3o3bobobo3bo2bo3b4obobo2b3o5bo3bo4b3o4bo2bob3o4bobob3o2b2obobo4bo$
171b2obob6obo3b2obobob2obob3o2b2o2bo2b4o2b5o3b2ob3o2b3o4b3o2bo4bo4b2o
5bo8bo2b2o3b2ob2ob2obo3b2ob4obo2bobo2bo2b2obobo8b2o2b2ob3ob3obo3b2ob2o
6b2o3b3o2b2o2b2ob9o3b5o2bo4bo2bob4ob2ob2obobo4bobobob2o2b2ob4o2bobo2bo
bob3o3b4obo2b8obob2o3bo5bobo3bo2bob2o3b2obo3bo4b2o2b2obob2o3b2ob2obobo
$168bo4b2o2b2ob2o3b3o3b2o2bo2bo2bo2b2ob2o3b2o7b3ob2obob2o3b2o2bobo2b2o
2b2o4b2obo2b3obob4obo5bob2obo2bo4bob4o2bobobo2b3obobo9b3obobo3b2o2bobo
2bo2bo4bo2b3obob2o5bo2b2obobo2b2ob2o3b3o6bo5b4o2bo2b3ob3ob2o2bo3bo2b2o
b6o3b2obob3o3bo2b3o3bo4bo2b2ob3obo3b2ob3ob2obob2o2b2o2bo2bob3o4bob2ob
4ob2o10b2o$170bo2b5ob3o3b2obobo6b2ob3o6bobob2o3b2o4bob3o2bo2b2ob3ob6ob
3o2bo5bob4o2b2o2b3o2b3o2bob3o2b2o2b3o4b2ob3o6bo4bo4b4o5b2o6bo4b2o7bob
3ob2ob3ob4obob2obo3b2o3b3obob2o2bob2obo3bo2bo2b2o2bo2b3o4bo2b2o3b3obo
7b4o4b2obob2o4bobobob3o4b2o6bo4bobo4bob2o6bob2o5bo2bo2b4obobo3bo$167bo
3b2ob2o2bob2o3b2obobobo2bo3bob3obo5bo6bo2bo5b4ob2obo2bobobo2bob2ob3o3b
ob3ob2o4b2o3b4obo2bo7bo2b2ob3ob2obo2bob3obo4b4o3bo3b2o2bob5obob4o2bobo
bo2b2o3bobob2o2bo2b2ob3o2bo3bob2o3bo3b3ob4obobo2bo5bobo2b3obo3b2ob2o2b
2obob3o3b2obo5bo2bob4o3b3obob4obob3obob2obo3b2o8b5o2b2o2b3ob4ob3o2bo2b
2o$167b2ob4o2bo2bo2b2o2bob4obo3bo3bob2o2bob2ob3ob2ob2o4bo3bob2obobo3b
5obobo3bo3b2ob4o2b2obob3ob2o2b2obobo2b3ob2obob4o2bob4o2b2o4bo2b3obo5b
2obo3bobo8b4o2bobobo3b5o4bo5b2obob3obobo3b4ob4obobo3b3o3b3o2b2o2bo2bo
4bo2b6obobo4b4ob3o2bob2o5bo2bobobo4bobobo7b4obo2b3o4b2o3b3o2bobo3bo2b
3o7bo$167b3obobobob3ob4o2bo3bobob3o2b3ob4ob2o2b3obobob2ob4o6bo4b2ob3o
6b2o2b2o3bobob4o4bo6bob3ob3obobo3b2obo4b3obo2b2obob3obo4b3o2b2o2bo2bob
o3bo3bobo2b2o3bo2b2o4bo3b2obo4b2obob2obob2o2bo5b2ob4obo3b2ob2o4bobobob
3o4b2obobo2bobo2bobo3b3o4b2obob5ob4ob2o3bo2bo2bo2bo2bo2b2ob2o2b3o2b3o
4b7obob8o2b2o$167b4obobo4b2ob2o3bo4b3o5bo2bobo2b4obobo3b2o3b4ob3ob4ob
5obo3b2ob2o3bo5b3obobo3b2o3b4obo2bob2o2b3obob8o5b8o3b4obo2b2ob5o2bobo
2b2obo3b2obo4b3ob3ob3ob6o2bo2b2o8b2ob3o3bo4bo2bo2b6obob2ob7ob2o4b2o2bo
3b4obo3bo2b4o3b2o4b3ob3o2bob2obobo3bob3ob4obob2ob4ob4obobo2b4obobo2bo$
167b2o4b3o7b2o2bo3bo2b3o2b2obo2b3ob3ob2o2b2o2bo3b3o4b4o2bob2o2b5o5bo2b
4o3b6o2b2o2b4obo2b3ob2o6b3ob8o6b8o2bobo2b2o4b2o2bo5b3o2b2o3bob3ob5o3b
2obo2b4obo3bo3bo6b2o3b3ob3ob4obo2b2obob5obob2o2bo2b4obo2bobobo2b2o2b3o
2b2ob4o6b2o5b5o2bo2b2obo3bob2obo2b3o2bo3bo5b2o2b2o2b2o3bo$167bob4ob4ob
2o3bobo3b3ob3o2bo3bo4bob3ob2o2b2obo3bo4b6obo2b7obob3obobob3obob4o2b3ob
2obo2bo2b3o2b2o5bo2b2o2b2o3b6o3bob5o4bo9b5obo2bobobob5o2bo3bob3ob3obo
3b4obo3bobo2bob3ob2ob2o2bobobob2o7b2ob2o4bobob4obo3bobob7obo2bobo2bo2b
obo2bobobobobobobo3bobo2b2obo2b4obobob2o2bob2obo5b2o2b2ob2obo2bo$168bo
b2o3bo3bobobob5o3b6o3bobo2b2o6b5obobo2b2o2b3o4b5ob2o3b2o2b4o3bo2b3obob
obo4bo5bob4o2b3o5bobo2bo7bo2b2obobo3bo2b2o2b2obo3bob2o3bob2ob3o4bob5o
2b5o3bo2bobob2o5bobobobo2bob7ob3obo4bo2b3o2b5o4b2obobo2b3o2bob2ob2o2bo
4bobo3bob2ob2o3bobo4b2obo2bob3obo3b5obobob2obo2bob4o2bo4b2o3b2o$167b3o
bob5o3b2ob2ob2obo2b4o5b6o3bo3bobo2b2o5b2o5b2obo3bob3ob4ob2o3b2ob4o2b2o
2b3obo4b5o3b2ob3obo2bo2bo3b2o2b2obob2o3bobob2o6bo4bob2o2b3ob2ob3obobo
2bo3bo8bob3obob2ob7ob2obo3b2o5bobob2o2bo3bob2ob2o5bob6o2bo4b3obo3b2o2b
2o2bob2obo3b3o2b4o2bobobo5bo2b6obobo2bo2b3o2b2o3b4o2bob2ob2obob2o$169b
o4b4o2bo2b3o2bobob4o2b2o3b2o3b2ob2obobo2bob2o2bob3o2bobob4o6bob3o2bob
2obo3b3obo2bo2bo2bob3o9bo2bob3ob2obo2bo3b3obo2b2o2bo4bobo4b5o3b3ob2obo
b2o3b2obo3b3obob3obo3b2ob2obo2bob2obobo2bob2ob2obo2bo2bo2bob3ob2o5bo6b
3obobobob2o3b4o7b4o2b5obobob2obob3o3b2ob3o4bob3o5bob2ob2ob3obob2o2b3ob
obobo2b2o$167bo2bob2o3bo2bo2b3o3bob4ob2obob3o6b8o2b4o2bo2bob2ob2o2b3o
2b3obob2o2b2obob2ob4obo3bobobobo2b3o2bobo2b4o2b2o3bo2bo3b3o4b5o2bobob
2o2b3obobob4o2bobo2bo5bo4bo2b3ob4ob2o2b2o3bo3b2obobob4o2b3obo4bo2b3ob
3o2b6obob7o3bobo2b3o2bob2o2b3ob2o2b3o7bobo2b5obob4o2bob7o2bo2b4o2b4o4b
2ob3ob9o$167bob2ob3o4bo2b3obo3b5o2b2o2b2obo3b4obobo5b5o4bo2bobo3bo8b2o
bob2o5b3ob2ob2ob3ob2o3bo4bo3b4o2bobob3obo2b2o5bo2bo2bob13o3bo2bo2b2ob
2o4bo4bo4b5obobob2o2bo4bobo3b2obo3b2ob3obo2bob4o2bobo4bo7b2o5bobobobob
3o2b2obo5bob2o2bobobo6b2o2bobo2b2o2b4o3b2o4b3o2b2o3bo2bo3bo2b3o2b2o4bo
bo$167bobo5bobob2o2b4o3b14ob3obob3o3b3obob2ob4o3b2o2b3o2b4obobobob3o2b
7o2bo2bo2b4o2bo5bo2b6ob2ob3o2bob2o3b3o4bobob4o5bob3o3bo2b3o8b3o4b5ob2o
4b2ob4o2b4obo3b3o2b2o3b4o2bobo4b2ob2ob2o3bob3o3b4o3bo2bo2bo5b2obob2ob
2obob2ob2o5b4ob2obob2o2b6ob4ob4obo2bobobob4obobo3bo2b3ob3o$167bo2bo2b
3obo2b2ob3o3bobobobo2b2o3b6ob3o2bob6o8bobo4bo3b3ob2ob2obo3b2obob4obobo
bobo2bob2obobo2bob2obo3bob5o2bobob2o10bo3bobo2b4obobo5b2o2bobobob2obo
5bob6ob2o3bob2o2bob3o2b6ob2ob3o2b2o3b6ob3o2b2o2bobobo2bobo4b4o3bobob2o
bob2o2bobo2bobo2b3ob2o2b2o3b3o5bobo3bo3bobob2o2bobob2o5bo2bobob4obo2bo
$168bo2b4ob2ob3ob2ob3obob2o8bob2ob5o4bobo3b2obob4ob2o3b8ob3o2b2obob2o
5bo2b2o3bob3o2b2o9b2ob3o2b3obobo3b2ob3o2b2o4b3obobobob3o4b2o2bo2bobob
4o2bo2b2o3bo3b2o2b2o2bo2bob4ob2o3b2ob2o11bo3b3o2bob3ob3ob5o2bo3bob2ob
3ob2obo3b3obobobo2bob5ob3o4bo3b4o2b3o2b3o4bobob3o4bob3o5bob5o2b4o$167b
2o5bo4bob4o2bobo3bob2o6bo4b3ob6obo3bo2b4o3bob3o3b5o3b2ob4ob2o2b2obobo
2bob4obobobobobo4bo3b3obobob4ob2o2bob3obob2o3b2o2bob2obobo2b3obo3b5ob
5ob5o2b2obob4o4b4o3b6ob4ob5o3bobobob2o2bobo6bob2ob3o3b2o4bob2ob2o2b2o
4b3o2b2ob2ob4o5b2o2b4ob2ob2ob2obo2bo4b2o2b4o4b2o2bo2bob5o2b2o2bo$167bo
b2o2b3ob6obob2o6bo2b4obo3bob4o2b2obo3b2obo2bob5o3b2obobobo9bob3o2b3ob
2ob7o2b2o2b3o3b3ob2o2b2o2bobobob4o2bob2o2bo4b2ob3o3b2o4bob3obob3o2bo2b
o2bo2b2o2b3obobobobob4ob3o3bo5b3o9bobo8bobob2obobo4b2o4b2obo2bo2b5ob2o
bob3obo5bob3o2b4obobo2bo5bo6b3ob3o2b2o4bobob3ob3o3bobobob2obo$168bo2b
3obo3bo4b2o3b4ob4o2b3o4b2ob2o2b2ob3o3b3o2bo4b2obo2b2o2bo2b2obob2obo4b
2ob2obobob4obo2b3ob3obo2b4obob4obobobobo2bo2b3o2bo4b4obobob4obo2b4obo
3bo3bob3obobo2b3ob3obo2b5o5b2o12b2ob6o2b2o2bo2b2o6bob3ob4ob3ob4o2bob2o
bob2o2bob4ob3ob3ob2obobobob5ob4o2bobob2o2b4ob2ob2ob2ob2o2b3o3b2obo2bo$
167b3o7bo5bobo4b8obobobob4ob4o4bob4ob2ob2o2b3obobobo3bo2bob3o2b3ob2o2b
3obo2b7o2b2ob4ob2obo4b2o4b2o2bob2o2bobo2b2o5b2ob3obob2o5b2o3b2ob2o3bob
3ob2obobobob2o2b2o2bobo2bo2b2obob2o3bo2bob2ob3obo2b2o4bo2b2o2b3obo2bo
2bob3o2b3obo5bo6b2o4bo2bob2obo3bo7b9o2b2obo2bo2bo14bob2obo3b2o2b4o$
168bob5o4bo2bo3bobo2bo6b2obobob2obo5b3obob3o4b2o6bo2bob2ob2o4bo4b2o2bo
bob2ob6obob2o3bobobo2bo3b4obob3o2bo2b4obobo2bob3obo7bobo4b2ob4obobo2bo
b2o2bobo3b5ob2obob3o5b2o2bo2bob2o2bobobo3bo3b2o2bobob2ob4obob2o3bob7ob
obo2bo4b3o2b3obo2b3ob2o2b2o3bo4b3o3bobobo2bobobo2b2o2bob2o2bob2ob2obob
obob3obo2b2o2bo$170b3o3bo6bob2o5bob2obob3o2bo3b3o3bob2o3bobob2o2b4o2bo
2bobob2obob3ob7o4b3ob2ob4ob2o3b3o6b6obo2b2obobo2bo6b3obob6o4bob2o2b8o
4bo2b2o2b5o2b3o3bo6bobo2bobo2b2ob5o4b3o4bo2bo3b4o2b5obo4b3obobo3b4ob3o
b2o2bobo2b3obo4b4obo3b3obob3o2b2obo2bob4o2bob2ob3ob5o2bob3obobo2b2obo
3bo$169bo8bobob3o2b2ob3ob3o3b2obobo4b4o2bo3b2o2bobo2b2ob4obo3bo3b5o2b
2o4bo2b4ob2o2bobo3b3o4b7o3b2o7b2o5b3ob3obobo2b3o3b3ob3obo2b7o5b3ob4o4b
2obo2bo2bob3ob2obo3bo2b3obo2bobo2bo3bo4bob5obo2b3o3bob8ob5o2b3o3b3ob2o
b5o3bo2b2o3bob2ob2obob2obo3b4o2bo2b4o2bob2obo5b3o2bo4b7o$167bobobo7bob
obo4b2obob2obo3b6obob5o5bob4o4b3ob2o4bobobobobob3o2b5o2bo3b5ob3obo2bob
obo2bo2b2ob2obo3b6o2bo6bobobob8obo3b4o2b2ob2o2bo3bob4ob5o2b2o3b5o2bobo
b3ob7obob2obobob4o2bob2o3bobobo4bo2bo2bobob5ob3o2bob2o3bo4bob2o2bo3bo
2bobo4bo2bobobo3b2obo2bo5bobob4o3bobobo2b2obo4bo4b2o$167b4obob5obob2o
2b2o4bobo2bobob3obo2b11o5b2o2b6o2b2o2bo3bo2b3o2b3o2bo3b3o3b2o2bo3b2obo
b2ob3o3b4o2b2ob8o3b5ob2ob2o4bob2o4b4o2b2o3b4o2bo2bob3o3b2obo2b2o2bobo
3bobobo3bo6bobobo2bo2bo2bo2bob3o3bo2b3ob3ob3o4bo3bo3b2ob2o9bob2o2bo3bo
bo3b7obobobob2ob6ob3obo3bo3b4o2b3o3b2o2b2ob2o3b2o$169bo3bobob5ob2ob3ob
ob4ob2ob2ob2o5b3o4bobob4ob2o2bobo2b3o7bo2bob2o7b4o2b2o2bobo6b4o2b2obo
2b3o2bo3bobo2bobo3b3o2bob2ob3obob2obobo2bo2b3ob10ob3obobo3bob3ob4o4b2o
bobob2o2bobo3b2ob4ob3o2bobo2b3ob2o4bobob5ob2o6b2o3b3o3bo2bo3b2o5bobo5b
4o3bobo2b3obo2b2o2bobo2b2obob2o2b2o2bo3b2o3bob2obob2o$167bo2bob2o4bob
3ob2o8bob2o8b3o2bobo2b3ob2o2bob2o4bo2b2ob2ob2obo5bobo7bob2o2b4o3bob5ob
3o2b3o2b2obo2bobob3obob3ob2o2bo3bo2b2o2bob5obo2bo2bo2bob3ob4ob3o2b2ob
7o4bob2ob2o2bob2obo3bob4obo2bob4obo7bob2obobobobob4ob2obob4obo2bo2bo2b
o4b2o2bobob2o4b8obob5ob2o2bo6b2ob5ob3o2bo2bobob3o2bob4obo$167bo2b2o3b
2o3bo2b5ob3obob5o2b2ob3obo2bobo3bo2b2o2bo2bo4bob2o2bo6bo2bob3o3bob5o3b
obobo3b3ob2ob2ob2obo2b2o3b2o2bo2bobo3bo3bo3b2o2b2ob3ob2o2b5obob3o6bo5b
3o4bob3o3bobo3b3o4b2o4b3ob9o4bob3ob2o4b3obo2b3obo4b2o2bobob2o2bobob2o
3b2ob3obob4o2bo4bobo2b2ob4o5bobobo2bo2bob9o2bob2o2b3o3b4ob2o$168b4ob3o
2bo2bo3bob2obobobob2o6bo3b5obo2b3ob2o2b2o3bo5b2obobob2obobo3bo2b8o2b4o
b2obo2bobo2bo6b2ob3ob2ob2ob2o3b2o7bob2o2b2o3bob3obo2bo3bobo2bo3bobobo
2b4o2b4o4bobobo3bob2o2b2o2b2o2b5ob2o2bobobo2bo3bobo8b2obo3bo4bo2bobob
3o3bo2b2ob10o2bobobo3b3obo3bo2bob3o2b2o2b3o3bob3obob4ob2ob3o2bo3bo5bo$
167b3obo3bob4o5b2ob3o3bobob4ob2obo3b2ob2obo2b4obobobo5bo2b3o3b2o3b3o4b
2o6bo2bo5b2o3b4o3bo2b2o3bobo2bo4bo4b2ob2ob3obobo2bobo5b4ob4o2bo2b2obo
17b3ob4obobob4o2bobo5bo2b3o2bo2b2obo9bob2obob3o2bobo2bob6ob3o2bobo3bob
obo3bo2bobobo2bobo3bobo2b4obo2b3obo3bo2b3obo3b4ob2obo3bob3o2bo2bo$169b
o5b5o2b2obo2bob7o2bob2ob8o3b2o2bobob5obo4b2o3b3o2bobobo2bob4ob2o2bobo
2b2o4bo2b3ob2ob6obobob2obobobo5b3o3b2o2bob2o2b2o2bobob4ob3o4bo3b4ob2o
2b3o3bo2b2ob2ob2obob2ob3o2bo2bo2b2o2bob4o3bo2b4ob2obobob5ob2o2bo3bobob
2o3b2ob7ob2o2bobobo2b2o4bo8b7ob6o3b4o2bob2o2b5o4b2obobob2obo5b2o$168bo
2b4ob2ob2o2b2o2bobo2bobob5ob2obo2b3o3bo3b3o2b2ob4o3b3o7b3obo3b5o3b2o2b
3obob2o2bo2bo3b2ob4ob3ob2ob3ob2o5bobobob3o3bobo3bob3obob2ob5ob2o2b8ob
2o4b3ob2obobob3obo2bob3obobobo3b4o2b3o2bobo2bob7o2bobobo2b4ob2obo4bo3b
2o2bobob3obo8bo2bo3b2o3bob2o4bobo2bobob4o2b5ob4o2b4o4b3ob2o5b2obo$167b
ob2obo2bob4o3bo4bo2b2o3b2o2b3o3bob3o5b2o2bo3b3obob3o4bo2b2obobo2b2o6bo
bobob4ob2obob6ob4o2b2ob2ob3obob2o3bob2o3bo2b4ob2ob3obob3obo4b4obob2ob
3o2bob2obo2b3o2bobob3obobob4o2bo4bo2bo6bo3b6o4bo2bo2b2obo2bo7bo4b3o2bo
b2o3b2o6bo2b2o5bob3o2bo3b2ob4ob2ob3ob3o2b2o4b6o2b2o2bo2bobo3b2o3bo2bo$
167bob5ob2ob4obo4bobo3b2o7b3o2b3o2b4o9bo2bob5ob2ob2o3b2o2b3o3bo3bobo3b
2o2b2o2bo2b2ob3obo2bo2bob2obob4obob2o4b2o2bob2o2bob3o2bo4bob2o6b2ob2o
3bobo2bob2o3bo2bob4o3bob4obo4bobob2obob2obobo3b2obob2o2bo2bo5bobobobob
obo4bo2b5o8b3o2bobob3o2bobob4obobobobo2bob2ob2ob2obo2b3o3bobo5bobo3b2o
2bo2b2obobob2o$169b4obo4b6obob3ob3o2b2o2b3o2bo4b6o2bo2bo2bo2b2ob2o2bo
3bo3bob3o3bo2b2obob5ob2o2b2o2b9o3b2o2b2obo5b3obobobobob5o3b2o3bo3b2o4b
o3b5o2b2o3bob10ob2o2b2o3bobobo2b4o3b2o2b5ob4o2b5o3bo5bo2b3o2bo5bobo4bo
4bob2o4b2o4bobo4b3o2b2obo2bobob4ob2obo5b7o3bo2b2obo4b7ob4obo4bo$167b5o
bo4b5obob2obo3bobobobob3ob2o2bob2o4bo5bo2bob2o2b2o3bob2o3bo3b2o5bo2b2o
bo2b8o3bob2ob3o5bob3o3b7obo3b2o2bob2obo4b5ob2o4bo2bob4ob2obob2ob3o2b2o
bo5bo3bob3o3bobo2b8o3bo2b4obo3b2ob3ob3obobob4ob2o4bo2bo2b4o2bob3o2bo4b
o2bob2o4bo2b2o3bo2b4o5b6ob3o7bobob5o6b2o7b2obobo$167bo2b2o2b2ob2o2b3ob
obo3bobo4b3obobobobo2bob3o6b2ob2ob2obo3bobo2bob2ob4ob4o3bo2bo5bobobo7b
obo2b2ob3ob2ob2o3b2o5b2o4bo2bobo2bo5b4o2bo2bob3ob3o6b7ob2o2b2o9b4obo4b
obo2bo7bob5obobobo2b8o3bobo3bob3obo2b2obo2bobobo2b7o3b2obobo4b2ob3ob6o
2b6o2bo2bobo2bo5b4obo7b3o2b3ob3o$167bo3b2o3bo2b4o2bo2b2o10bob4o2b3obob
ob3obo3b3o3b4obob2o2b2obo2bo3b2ob2o3b2o3b3o2bo4b3o3b2o2b2ob5o2bo3b2ob
3ob2o3b2o2b6o2b2o3b3o4bo2bob6obo5bobo2b4o2bo3bo3b2o4bo2b2o3bobo2b3o2bo
bo3b2ob2ob3obo4b3o5bobo3b4ob6obo3b2o2b2o3bob5o2b4obobobobob3obob4o4bob
ob2ob2obo7bo2bobo3b2ob2obobob2obobo$168bo2b2ob10ob3ob3obob4o2bo2b3o5b
4o2b2o2bo3b2ob2ob2ob2obobob2o3b4obo2b3o2b2o6bo3b2o3bo3bob2obo2b3ob2o2b
o3bo2b2o3b2o3b2o6bo2bobob4obob2o2b2ob6o4bob2obob3ob2o6b2o4b3o4bob3o2b
2o3b4obobo2bo2bob2ob2ob2obob2o3bo2bo2bobobobobo2bo3bo2b3ob3o3bo3b8obo
2b3obobobo3bobobo2bobob2o2bobo5b3o2b6ob2o4bo$167b3o2bob2o5bo2bo2b2ob4o
b2o2bob2ob4o2bobob6o2b2obob2o3bo2bo2bob5ob6o2bobobobob2ob2ob2o2bobobob
o2bob3o2b5obo4b2o3b2o4b3o2b2obob2ob5o5bob2o11b6o2b3ob2o2bobo4b2o3bo5b
2o3b2ob4o3b4o7bo2b6o3b2o5bo2b5o2b2o2b3ob3o5b4o3bob4o2b2obobo2bob2ob2o
4bobobobob3o2bob5o3b5o2bo2bo2bo2b4ob3o$169bo2bobob2obo2b2o3bob5ob2o2bo
b3o2b2ob3obo3b6ob4o2bo4b4obo3b4ob2ob2o4bob3o2b3o2b2o3b4ob5obob3o3b2o3b
2obobo2bobob3obobo2b6o2b2obo4b2ob2o2bo5b2ob3ob2o2bo2b2obobobobo2b2ob4o
bo4bo3bo5b3obobo3bo4b3o2b2obobo2bo2b3obobo2bo2bob2o5bo3bob3obo2bob5o8b
4o3b2obobo2b2o2bo2bob2obo7bobo3bo3b3o2bo2b3o$167b3obob4o3b3o2b2o4b2ob
3o3bobo6b2o2bob10obo3bo2bob2ob2o2bob2ob2obob2o2bobob5ob6o2b2o2bo4b2o2b
o2b3o2bobobo2bob2obobobo2bo2b2o5bo2b3o2bo2bo2bo2b2o6bo2b3obobob2o4b3ob
ob2o4bob2o2b2o2bo3bobo2bob4o3b2o4bob2ob3obob2o4bobobobo3b4ob2ob3obo2bo
bo3bob3o2bobob5obob3obob6o3bo2b4obo2bo2b3o2b3obob3o2bob2o4bo$167b3ob2o
2bo2bobo3bo2b8obob2ob4obo7bo2b2obob2o2bobo3b2obo2b2obo3bo5bo9bo2bob2ob
o6b3ob2obobo4bobobo2bo3bobo2b5obo4b2ob5o3bob3o2bobo2b3obo2b2o5bo3b2o2b
o2b3o2b3o2bo2b2o5bo3b8o2b3ob4o2bob2ob2o2b3obo2b3ob2ob3ob6ob2ob2o4b3obo
2bo4bo3b2ob3obo2bob2o4bobobob2o2bob2o2bo2b3ob2obob3o8bo3b2o2bo$168b4ob
2o2b2ob3obo3b2o2b3obobob2o7b2obo2b3ob2o9bo4b3ob2obo2b2obo3bobo3bobo2b
2o2b7ob3ob6obo2bob7obo2b2o3b5o2bobo8b2o3b6obob6ob3ob3o3b2o2b7ob3o2bo2b
obob2obo2bo3b2obob2ob4o2b5o2bobobob3o2bo4b5o4bobob2ob2o2bo3bo2bo3b3o2b
3ob2obo2b6ob2obo3bo4bobob5ob3o3bobo4bob2o2b3ob3ob2o$167bo2b3ob2o3bob2o
3b3o4b2ob2obo4bobobobob2o3bobo2bobob3o2b2o2bob3ob3obo3bo2bo4b3o2b3obo
2b2o3b4o4b3o2b4obobo3b2obo4bobo5b2obobo2bobo2b4ob3o3b2o2b2o4b2o3b4obo
3bo9b3o3b2o3bo2b2ob3ob2o3bobob4obo3bob3o2bo7bobob6obo3b3o2b4o3b6ob3ob
2o2bobo3bobo2b2o4bo4bobo2b2ob6ob4ob4o2b2o2bobo3bob2ob3o$167bo3bo3bo3bo
bo4b4ob4obo2b2obo2bob3o3b2o2bob2ob2o2b2o2b2obo4b6obobob2o3bobo3b2obobo
b2ob2obo2b2o3b2o3bobob3ob2ob6ob2o3b2ob2ob2o3bob2o3b3o4bobobobob10o4bob
3ob4obob2ob2ob4ob3o2bo8bo3b5o2bo6bob3ob4o4bob3o7bob2o2b4o2bobobobo2b2o
b2ob2ob2o5bo3b3o5b2obobo4bob3obob6ob4obob6o2bob2obo$167bo2bob2o2b2o3bo
b5o4bob6o2b3o3b7ob4o4bo2b2o2b4o4bo3bob5obob2o3bob13o2b2ob2o4b3o2b2ob6o
2b5ob5obo2bobobob2o4bob3o2b5obob2ob3ob2o2b3o2b8o2b3ob2o2b2obo2bo3bob3o
b4o3bob3o4bo3b2o3b8o2bobo2b3obob4o2b2obo2b2o3bo2bobobobobo2bo2b2o6bo2b
2obo3bobobo5bob6o2b4ob2o3bo2b4ob4o$167bo3b2o2bo6bo2b2ob2o3bo2b2ob2ob2o
4bobo3b4obo2b2obob3o3b2o2b2o2bobo2bobobo2b4o2b2o2b2obobobo2bobo3bo3b4o
3b6o2bo3bob2ob2obo3bo4bobo3bo3b2ob4obob2o2b2o3bob2obobo2b3ob2o5b2obo3b
2o2bo3bo3bobo6bobobo2bobo2b3ob3o2b3o2b2o2b3o2b3o2b3ob3ob2o4bob4o3b2o4b
obob2obobob5ob3o2bo2b4o2bobo3bo3bob3obo2bo2b2obob4obo3bo$168b2o2bo3b6o
5bob4o2b3obob2o4bo2b2obo7bobobob2o2b2obo3b3o4bo3bobob3obobo2b2o2b2ob3o
b2obobob2ob2ob2o4bobo3bob3obo4b3ob4o2bobo5b2obob2obob5ob2ob3o2b2ob2obo
b7o3bo2bob3ob2o3bobo6bob2o2bo2b2ob3o6b2o3bob4obob2ob2o4bobob2obobobobo
3bob3obobo4b2ob3o4bo2bo2bo2bo3bob2o2b3obobo3bob3o2b5o3b3ob2obo2bobo$
167bo2bob3obo4b2obo5bob2o4b2o2b4o7bobo3b4obobo5b2o2b2obo7bobo2bo2b4obo
b2obo3b2ob2ob2o2b3o2bo4bo2b4o3b8obobob2obo7bob3o3b3obo2b2obo6b2ob3ob2o
bobo2bobo3bob4obobo2bo3b2o2bobo7b2ob4ob2o2b2o4b2o2b4obobobo2b2o2bo2b2o
2b2o2b2o2bo8bobobo2b2obob3o5bobobo2b2ob2o2bo3b2ob2o4b2o2bobo2bo3b2o2b
4ob2obo$167b4obobobo3b4ob2obobo2bo2bobo2bo7bo3b5o2bo3bo2b3o2b2obo6bobo
2b4o3b2obobo2b5o3b2o3b2obobo2b2obob2ob2o2bob2o4b2obo2b2obo5b3o3bo2bo2b
ob2o2b3o2b3ob3obobo2bob3ob2o2b2o2bo3bob5o2b2obobob3ob2o3bobobob2o4bob
2o3b2ob4o2b3o3bobobobobob5o3bobobo2b2ob3o3bobo2b2o3b2o3b3ob2o4bo8bobo
6bob2o3b3o2b4obo2bo2bo$168b2ob2ob4o3bob2o3bo4bob3o2bo2bo5bo2b3o4b4obob
2obobo3bob6ob3obo2b2o3bobobob2o3b2o2b2o3bo3b8o2b2o3bo3bo3bo2bo2bobo2b
2obobo2b2ob2ob3o2bo5b2ob2o2bo3b2obob2o4bo3bo2b2o3bob3o5bo2bob4obob3obo
bo7b5o2b2o2bo2bo3b6o4bobob3o3b2o2bo2bobo3bobobo9b5obo2bobo5b3o2b2ob6o
3bob2o3b3o2bo2bo5bo$168bo2bo3bobo2bobob2obo2b4ob5ob4obobob4ob2obob2o2b
obobob3obobo2b2o8b3ob2ob3obob2o4bob2o3bobobo2bo2b4obo4bob2ob3obob10o2b
2ob3o13bobobo4bo2bobobob2o3bob2o5bob2ob8o2bo2b2o2b2obo3bob4o2bobo3bob
2ob4ob5o4bobo2bob2obo2b6o2bo3bo7b2obobo2bob2o4b4o2bo5bob3o2bo3b3o2b5o
2b4ob2o4b2obo3bo$167bo5b3obo4b3ob2ob3obo2b3o5b2o2bob2obo2bo2bo5b4ob6o
2b6o2bobobo2bo3b5obob2ob3o3bo2bo2bobo2bob2obo4bo3b2o3bo3b10ob8obob5o3b
3o3bo2bobo2b4o2b2obobo3b3obo2bo2bobobobobo2bo5b2ob3o3b8ob2ob2o3bo2b2ob
3o2bob4obo4bo6b4ob3o2b4o2bo2bo3bobob2o7bob2o2b2o2b2ob3ob2o2b3ob2ob5obo
6bob3o$167bo2b2o2b3obo3b7o3b2o3b3o4b4ob2ob3obobo7bo3b2o4bob6ob3o4b3obo
4b5o3b3o2bo5b6obobob2ob3o3b4o2b3o2bob3o2b3ob2o7b3o2b3o3bobo5b3ob2obob
3o3bo4bobo3b3o2bobob3obo2b2ob4obob2obob3o3b2obob3o2bob3obo2b3obo7bo2b
4o2b2o2b2o7bob2o3b2obobo2b4o2b2ob7o5b3o4bo4b2o2bob3obo2bo2bo2bo$170b4o
bob2o3bob3o5b2o3bob2o3bo3bob3o4bobobobobobo4b2obo3b2o2b2ob3o2b2o3b5o2b
obo8b2o2b3o2bo2b2o3b3obo2bobo4b4o2bo2bobobob5ob2o8b5o4b2o2bo5bob2o2b2o
3b8o2bo2b3o3b2o3b2ob5o2bobo3b3ob2o3b3o3bo2bobo2b6ob3o3bob2o3bobob5o5bo
bobob3obob2o3b4o2b2o2b3ob2o2b2ob3o4bo3b2o5bob2o3bo2b2obo$167bo3bo2bob
2ob3o2b3obobob4o2bo3bob2obo2b2obobo2bo3b3o7bobo6bo2b3o2bo2b2obo4bo3b2o
2b2o4bo3bo2b6obo4bo6b2o2bob2obo3b3o5bob3o3b2obo2b2ob2obob2ob2obo7b3ob
2obo3b3ob2obo5b2obo3bobo2bob3o2b5ob3obob5o5b2obo4bo4b2ob2o2b3o3b8o3bob
obo2bo2b3obob4obo2bob2ob3o3b3ob3o2b3ob4ob2o2b3o2bob2o7b2o$167b2o2b2o2b
3obob5o3bob5o2b2ob4obo4b2obo2b2o7bob4obob2o3b2obo2bobo4bob2obo2bobo3bo
bo2b4o2bobob3obob2o2bob4ob6ob2o4b2obo2bo2b3o6bo3bobob2o2bo3b2obo7bo2bo
bo2b4o2bobo2b5obob5o2bobob2o2bo2bob4obobob5obob3o6b2o2b6o4bo2bo2bob2o
3b3obo3b3o2bo3b2ob3obo2b3o2b2ob2o5bo4bobo2bo6bo3b2o2b3o2b2ob2o$167b3o
5b3o2bo4bob2o3bo3b2ob4obo3bobo4bob2obobo3b2o2b6ob3o5b4obo3bo2bo4bo3b2o
bob4ob3ob4obo6b3o8b3obobo2b5o2b2obo3b2o5b2o3bo2b2ob2obo2b2o2b8o4b3obo
2bo4b2o2b2ob2obobob4obobobobo2bo3b4ob4o5b4obo2bob3obob2ob6ob4obo6b3obo
bo2bobo3bob2o3bo5b2o7b2o3bo3bob7o2b2o3bobo3b2o$168b3obobo2bo4bo5bobo2b
o2bo3b2o2bo2b3o2b3obo4b3o2bo2bo4b2o3b4ob2ob2obo2bobo3bobo4bob4obobo3bo
3b3obobobob2o2bo2bob2o2bob4o2b2o2b2obo2bobo3b4o2b3ob2o4bob4ob2o2bob3o
3b3ob2obo3b4o2b2o2b4ob2o5bo3b3o2b3obob2o2bo3bob3ob2ob3ob2o2b2obo3b2ob
3ob3ob4obob2o3b3ob2obo2bo5bob4o2bo3bo4b2o2bo2b3o2b3ob3ob5o3b2o2bo$167b
o3bo2bob2o3b3o6bobobo2b2o4b2obobob2ob4o5b2o2b3obo2b2ob2o3b2o3b3obob6o
3b3o2b3o2bob4o2bobobobob3o3bobobob3o3b2o3b4o2b2o2b2o7bo2b2o2b3o3bobob
3o2bobob6obobob3o2b2obo3b2o2b3o3bobo2b6obo3b2o2b2o2bobo3b6obobo3bo2b2o
2bobo3b2obo3b2ob2obob2o2b4obob4o4bob5o3bob2o2bo3b3ob3o2b2o3bo3bob2o2bo
bo4bobo$169b2ob8o2b4o2b3ob4obo4b3ob3o3bob4ob2o2b2o2b3o3b2ob2o2bo4b4o2b
o2bo3b5o2bo2bo4bobo2bo2bobo4bo5bobob6ob4obob10obo2bo3bo8b2o5b2o3bob2ob
obo4b2obob3obo3b3ob6ob3o3b3ob3o2bobo4b5o4b2o2bo3b3o3b7obo5bob2o4b3o3b
2ob4o3bobo2b2o2bo2bobobob4ob2obo2b8ob2o3b3obobo2bo2bo4bobo$167b8o2bo3b
o3b2obo2b2obo3bob2o5b2o2bo3bob4o2b4obo2b2obobo3bo2bobo3b2obo3b2o3b3ob
2ob2o2bo3bo2b2ob2obo2b2o3b4ob4o2bob3ob6o2bobo3bobo3bob3obob2o2b2o5b2ob
obob2o3bob3o5bo2b3obob3o2b2ob4ob2o3bob5o2b3o3b3o3b5o2b10o2bo4b2ob2o4bo
b2ob3o5b5o3bo9bo2bobo2bob2obo2b2ob2ob2o2b6o3b3obo3bobo2bobo$168b3o3b9o
bob2o2bo2bo2bobobo3bo2b2o2b2obo2bob4o2bo3bo2bobo3bo2b2o3bo2b2o4b3ob2o
3bobobob4obo2b2ob2o2bobo2b2obo3bo3b3o3bo2bo5bo3b2o2bob8o2bo2b4obob2o3b
obobobob4o5bo5bob4obobo2bob2obobobo3bo4bo2bobo7bob2o2b2o2bobo2bo2b2ob
2ob3obo2b2obob3obobo2bo2b3obo3bobo2bo3bo2bob2o2b4o2bo3b2ob5o2bobob3o3b
o2b6ob2o$170bo2b3o2bo3bo2b2ob4obo2bo2bob3ob3o2bo3b3o4bobo3b4o2b2o2b2ob
3o2bob2ob2ob2obob2ob2o2b2obo2b8obob2ob2o3b2ob3o2b2obob10o4b2o4b3obobo
4b4o2b3o2b3o3b2ob2ob4o3b4o3bobob2ob3o2bo5b2o3bo5b4ob2ob2o5bob2o2b2obob
3ob2obo8b2o2bo4b5ob4o5bo3bobobob6o2bo2b2obobo2bo3bo2bo3bo3bobo4b3obob
2obo3b2o$167bob4o2b2ob2obobobo2b2o2b2o2bo3bobob3o2bo2bo2bob2obo4b2obob
o2bo4bobo5b4ob5o3b5o3bo3b3obo6b6obo3b4ob3o2bob4obo2b6obo4b2obobo3b3o2b
o2bob4o2b3obo2b2obobo4b3obo3b2o4b2o3bob3o2b2ob4o2b2o3bo2bob2o5bob2o2bo
bo3bobo2b2o2b3o3b3ob5o3bob2o3b2o11bob6o2bo4bo2bo2b2obobo2b4o2bob2o3bo
3b2o3b3obo$167b2ob2o2bob2ob2obo2b6ob2o2b2ob3o2b3o3bobob2o4bob3ob3o2b2o
bobob3o2bob2obob2ob4obo3b4o3bobob7o2b3o2bo2bob3o2b3o3b2obo2bob3o4b3obo
bo2bo2bob3ob2o4bo2b2ob2o3b2o4bo5bo3bo2bo7b3ob2obobo3bobo6b4o5bo3bo2bo
5b7o3bob5o2b3obo4b2ob3o2bo2b2o4b3ob2obobobo13b4obob3obobob4o2bobo3b2o
2b2ob2ob3o$167bob2o2b2ob2ob2ob2obob2o2b3ob7o2b2ob5ob2ob2o2b5o6bobo2bo
2b2ob2o2b4o3bo2bobo3b2ob3ob2ob2obob2o2b2ob2o6bo2bo2bo4b4ob3o4bo4b2ob3o
b2o3bo2b3obob3o3bob6ob2o3bobo3bo4b2o5b2o4bobo6b2obob7o2b4ob2obo2b2ob2o
bob2ob3obob4obo3b2o3b2obo3bob3obo2bo3b2ob3o2b2o3b3ob4o3bo8bo2bobobobob
o3bobob2ob2ob2ob3o$168b2o4bob4o5b2o3b2o2bo2bo4bo2bobo2bobo2b2o2b3o3b2o
bo3bobob2obo3b3o8bob3o9b2obo2bo3bo2b4o2b3obo4b2obo4b2o3bobob2o3b6o2b5o
b2o3b2obo3b3o10b4o2b5obob3ob2o3bob6o2b2ob2ob5o2b2ob2o5b2o2bobo3bo2b5ob
o3bob2obob3o3b2obob2obo3b3o2b4o2b4o3bo3bo2bobo3b3o2bob3o5b2o3bo3bob2ob
7obob2o$168bobobo2bo3b3ob2o2b2o2bobobob2o2b3ob2obobob2o5b3o2b2o5bobobo
2b4ob3obo5b3o4b2ob5ob2o3bo2b4o4b2obobob2o4b3o2bob4o3bob3o3bobo4b3ob2o
2bo7b2obob3o3b2o2bobob5ob2o2b3o2b4obobob3obob4ob9ob4ob2ob2o2bob2o2b2ob
o3bob3ob3ob2ob2o4b2o2bo2bobobo2bo4b2obob3ob2ob2o2bo2bo6bo2b2ob3o5b2o5b
ob3ob2o2bo2bo$168b2obo4b2o4bob3o3b3obobob2ob8o2bo4bo2b3obo2bo4bo5b2o4b
o3b9obobo3bo4bobo2b2o6b3o2b2ob2ob2ob4o2b3obobob3obobob3obobob5o2bob2o
2b4ob3o3b3o2bobo2b2obobob3o4bo7b3o5b2obob2o2bob4o2b3o2b2o3bob2obo2bobo
bob3o3b2o5b3o2bobo7bo3bo2bo3bo2b2o2b5o9b2o7b4ob3o5b3o5b3o2b3o3bo$168bo
bo2bo3b3o2b2obo2bob2o5bob2o3bob2ob2ob4o2bo5bob2o3bob2o3bob3o3b4ob4o2b
4ob2ob2o3b3ob4obob2ob5o2b4obob4o3bob3ob2o2b2ob4obo7bobo2bob3obo3bob2ob
3o2bo3bo3b3o3bobobob3obo2b3o2bob2obobobo2bob2obobo2b2obob2o3b2o3bob6ob
3o3bo2b4obo2bob2obo2bob2ob5obob3o2b2o5b3o2b5obo2bobo2b2o3bobo2b2o2bobo
3b2ob5obo$167bo5bobo2b2o2bob2ob3ob2obob2o2b4o2bobo2bob3o2b4o2b2ob2obo
3bobobob2ob2obo2b2obob3o2bo2bo2b4o2bo2bo3bo2b3o2b2o2bob6ob3ob3o4bo2b4o
bo2bo5b2ob3o2b2obo2b4obo4b3ob2obo2bo2b2o4b2o3bobo3bob2ob3ob5ob10o2bo2b
5ob2o2bo2b2obobo2bo3b4ob2o3b4o3bob2o3bo4bo3bobo3b2obo2b2ob2o4bob2obob
3o2bob2ob2ob5obo3b4o3bo2b4o$167b4o2b2o2b5obo4b3obob2o2bo3bo2b2ob3ob3o
4bobob2ob2obo2bo3bo2bobobobobo4b3o3b4obob2ob2o2bobobo4bo4b2ob2o2b2o2b
2ob2o4bo5bo2bobo4bo4b2obob3o2b2o6b6o2b2obobo2b5o5b7o2bob5ob2o2b4ob4o2b
o6bo2bo2b3o3bobobo2bo2b2obo4bobob2obo6b2o2bobo2bo4b3o3b2obobobo2bo3bob
o2bo3b8o3bob2o4b4o2b2ob2o3bo$169bo4bobo3bob3ob3obobo2b6ob2obo7b4ob2obo
3b3o3bo4bo3bo2b2o2b4o2bob3ob2o2b4obo4bo4b3ob2o3bo2bobob2obobo2b2obo3bo
b2o2b2o2b5ob2obobob3o3bob3ob4o2b2o2bob3o3b2obob2obob2o2bo3bo3bob2obo3b
3ob3o2b6obob2obobo6b3ob4o4b2obob2obo8b2o2bobo4b2ob2ob4ob2ob5o3b4o3b3ob
2ob5obo2b2o3b5ob5o2b2ob2obo$167b3ob2o2b5o4bo4bob2o2bo2b5o2bo2bob4obob
2obo3b2o2bob3o2b3o2bob2ob3o2bobob3o4b2o4b2o3b3o3b4o6b2obob6o2b5o2b2o5b
obo2b3o2bo3bo2bo2b2obobo3bobobob2obo4bobobob4obobo3bobob2obob2obob2o5b
ob4o3b2o3b4o2b4o2b2ob2obo3bo2b3o3bob6obo2bo2b3o2b2o12bobo2b2ob2o2b2o4b
4obo5b2obo4b3obo2b4ob2o2b5o$167b2o2b2ob2o2b2o3b3ob5ob2o4bobobob2obobo
2b4o5bo4bo2bob3o6b3o2b2obo2bobo9b3o2b6obo2bo2bo2b4o2bo2b2o4b5obobo2b2o
b4obob4obob2obob2o4bo4bo7bob4o2b5obobobo2bobob2ob2o3bobo4b3obo2b2obo2b
obobo2bob2obo2b2ob2o2bobob4ob2o2bo2bo3b2o3b3o2bobobo2bo3b4o3b2ob3obo2b
3ob2o2bobob3ob2ob2obo8bob2ob5ob3o$168bo2b3o3bo4b2ob2ob4o2bob3obo3b4o2b
o2bo2b2o2b2o2b2o4b2obob2obo5b2o2bo6b4obobob3o2bobob2ob2obob4o3b2o3b3o
4bobo2bobo5b2ob4o2bo6bo4b4ob2ob2o2b2o2bo3bo2bo2b2ob2o6bob4obo2b2o3bob
2obo4bo4b2o3b2o3b3o7b2obo2bobo6bobo2b6o4b3obo2bobo3bo7b2o2bo2b2ob2o2bo
b2o3bo3b2ob4ob5ob4ob2obob2o2bob2ob2o$171b7obob2o4b2o7bo4bo3bo6b2o3b2o
2bo2bob3o3bobobo4b3ob2o4bo2b3obob3o9b2obob2o2bob3obob3o2bo6bo2b3ob7o3b
ob3ob3ob2o2bob2o6b3o2bo2b4ob2o4b2ob4o2b2o2bo2b3o2b3o2b2o2bob2obo2bob2o
3bo2b4obo2bo2b2o3bo5bo4bo3b3o4b5obo6bo3bo3bo2b2ob5o2b2o2bobo3b2o3b2obo
4bo5b2obobo2bob4o3b2ob3o$167bo4bobobob2ob2obo3bo6bob3ob4obo5b2ob2o2bob
3o2bo2bobo6bobo4b4o2b2obobo5b2o5bo2b4ob3ob2obo2b5ob3ob2obo17bob2o5bobo
3bo3bobo4bo2b3o11bobobobo2bobo3bo3b5ob5o3bob2o2b3o2bo4b2o3b2ob5o3bob3o
2bobo4b7obobo2bo4b2obo3b2obob4ob3o2bo2bob2obo2bob4o3b2obo5bo2bo3b2o2b
3ob2ob3o3bo$167b6o4b3ob2o2bo3bobo2b4ob2obob3obob3obobo2b2o3bo2b4o3bob
3obobob3o2bob3obo2b3o4bobo2bo5bo2bo4bob2o2b3o7bob2obo5b2o2bobob4ob2ob
2o5bobo5bo2bo8bo2bo2bo2bo2b2ob4o7bob3o4b2ob3obob4obob2o2b3ob3o3b2obob
2o2b3ob2o4b3o2bob3o3b2o3b2o4bobo2bobobob2o3bo2bobo3bobobo2b4o2bo4b2o
12bo2bobobobo2b2o$167b2obobo2b2o3b2o4bo2b6obobo3bo4b5obo5bo5b2o3bo2bob
obo2b2o2b3o3b2obob2ob6o3bobobo2bob3ob3ob2o4bobo3b2obobo2bo2b3o3b2obob
5o3b4o4b5o6b2obo3bo4b2obo3bo3bo2bob4o3bob2obo3bobo2b2o5bob2ob7o5b2ob2o
b3ob2ob3o2b2ob3o4bo2b2o2bobob2ob3obo2b4o2b2ob4o3bobobobobo4b3o2b4obo4b
ob2o6b2ob2obobobo$168b2o2b4o3b2obob2ob4o3bob2o2bo2b2ob5o4b2obo4b3o2b2o
5b4o2b5o2b2o2bob2obobob2o3b3ob2ob3o2bobo4b3o3bobob7ob2o2b6obob3o7b4o2b
o4bob2ob2o3bo2bob2ob2o3b4o3bobob2obo2bobob3o2b3ob6o4bobob2ob2o2b2o2bo
3bob4o2b2o4b2ob2o3bo3b6obobo2b2o2b2ob3o5bo3b6o2b4o4b4o2bo3bob2o2bob2ob
o2b2o3b2o2bo2b2o2bo$168b3o4b2ob7o3b2o2b3o2b4o2b3ob3ob3obob2ob2o3bob2o
4bob2o5b4o3bobo4bo3b3obob2o2b2o2bobo2b5o3bo3bo5b3o2bobo2b3o2b2o2bob2ob
5ob2o3b2o4b3obo2bob2ob2obob2o2b3o2b2o2bo2b2o3bo2bob3o5b2ob3ob5o2b3o2bo
2b5obo3b4o5b3o3b3ob2o5b2ob3o2bo4b8obo3b2obo2bo2b2o2bob2o3bo5b5ob2o5b2o
b2o2b5o5bo2bo$167bo4b3o8b4ob6o2b2o2b4ob2ob2obo5bo3bo3bo4bobo2b2o2bob5o
2b2ob2o2b4o2bob5ob3o5b2obob3obob2o2b3o2b2o2bobob3o2bobobo2bo4bo4b2o2bo
2b9obob6o2bo6b2obo2b4o5bo4bo2b2o2b2o3bo2b5ob2obob5ob2obob2ob4o2b4obo3b
3o3b2o3bobob3obobob2ob3ob2ob2o6bo2b5obobo2b3obo3b2ob3obob3o3b2o2b2o2bo
2b2o5bo$167bobo2bo4bob2ob15o6b2o2b5ob3ob2ob2ob3o4b3o3b2o6b2obobo5bobo
4b4ob3ob2ob5o2bob2o4b2o2b2o9bob5ob3ob3o4b2o2b3ob2ob4ob3o2bobob5obob2ob
obobob4o2b3o3b4ob4o2b2o2b3o2bobo2bobo3bo2b2obobo3bo3b3ob2ob2o5b3o5bobo
bob9o2b3o2bob5ob4obob2o3bo4b2obo3b3obo3b3ob2o3bo5b2o4b2o$168b2ob3ob2o
3bo2bo4bob4o3bo2b8o3b4obob2obo3bobobob2o2b2obo3b2ob3ob2o2b2ob2ob2o2b2o
2b2obobo2b3o3b2o2b2ob5o4bo4bo3bobo2b3ob2o2bob9obobobo2bob2o5b2ob2o3b5o
bo2b2o2bobo3b8obo2bob2obo4bo3bo3b3obo2b5o2bob3o3b2o8bo2b3obobobob3ob2o
2bo2bobob4o2bo4b3ob2ob2o4b2obo5b2o2b2ob2ob3ob5obobo2b2ob3o2b3o$168b4o
2bob3o5bo3bobob2obo2b2o3bob5ob2obobo4bo4bobobobo2bo3bob2o2bo4b2ob2ob3o
bo2b3ob2ob2o4b2o3b2o8bo7bob2ob2ob3ob2o4b3obobobobob2ob3o2b4ob2o2b3obo
4b2ob4o2b3o2bob2o6b2o2b2o3b2obo3bo4b2o2b2obob2obobobobo3bo5b3o2b2ob2ob
2o2b5o2b3ob5ob3o4bo4b2o2b3ob2o3bo4b3ob2o4bobobobo3b2obo3bob3o2b2ob2o2b
2o$171bob2obob2o3b2obo2bob6obo6b2o2b3o2b3o2bo2bo3bobobo2bob2obo2b2ob2o
b4ob3obobobo2b4o2b3ob2obob2o2bo2bobob3obo3b2ob3o2b3obo3bo2b3ob3obob4ob
2obo3bo2b3o2b3ob2obobo3b8ob3o2bo2b6o2bo3b11ob2o3bobob2ob6ob8o3b2ob5obo
b2ob2obobo2bo2bo2b2o3bob3o2b2o2bo2b5o3b2ob2o2bo2b4o3bobobo2b4obo3bo3b
2obo2bob3o$168bobobo5b2o4b2o3b3ob2obob2o3b3o2b3o3bob2ob2o2bob2o5bo3bob
2ob2o2b2ob2obo2bobobob2ob3o3b2o4bo2b2ob6obo2bo2b2o2bo3bo2bo3b3o2b2obo
2bob6o3bo2bobo2bobobobo5b3ob3o2bo4b2o2bobob8obo2bo4bobo4b3obobo4bo3bo
2bo2bo2b4obobo5b3o2b2obob3o2bo3b5obobob2obo2b3o2bob5o2b2o2b4o2b2o3b4ob
o2b2o3b3o4b3o3b3obobobo$172b2o2b3o3b2o2bo2b4o4bobo5b4ob3ob4obob4ob2ob
3obo3b4ob6o5bo2bob2o2b2ob4o4b4obo6b2o2bo2bo2b2o2b2ob2obo3b3o4b2ob2o5bo
b4ob3obo2b3obo4bobo9bob2o3bob5ob3ob2obo2bo2bo3bob3ob2obob5o2bob2ob2o2b
3o2bo3bobob2o3b4o3bob3o4bob2o3b2obo3bob5obo3bob2o3bob4obo2b2ob2o2bo3b
3ob2ob4o2bobob3ob2ob2o$167b7ob2obobo3bo3b4o2bo2b3obo2bobo3bo3b3o2b3obo
bob2obobob3o3b2o5bobo6b3ob5o4b2o3b3o6b3ob3ob3o4bo3bobo2bo2bo2b2o2b2o2b
ob3ob2obob2o2bobo3bo3b3o2bob2o3bob2obob2obob2o2bob3ob2o2b4obo2b2o2b3ob
o2bobo2bobo2b3obo4b5obob2o3b5ob2o3bob2o2b2o4bob3o3b2obo4b2o4bo2b2o2bo
2b2ob2obo2b7ob2o3bobob4o4b3o2b3o$167bo5bo2bo2b3ob9o2bob2obobo2b4o2bob
3ob2o2bob2o4bobo2bob2o2b5o7b3obo3b2o2bo3b2o3b5o3bo2b6o3bo3bobo2bob4obo
bo2bo5bobob2obo5b3obobob2o2bo7bobob3obobob4ob2obo2b3o3bo2b2o2bo2bob3o
3b2obob4o2b3o3bobobo6b4o2bo2bob2obob2o4bob2obobo2b5o3bob2o2b2o2b2o2b2o
2b2ob3obob8obo2bobob3o5bob6ob2o3bo$167b2ob3o2bob2obo2b3obo2bo3b3o2b3o
5bob2o5b3o3bobo4bo2bobobo4b6o2b3obobo5bo3b3obo2bobo4bobobo5b4o2b2ob6o
2bo3bo2bobobobobob3ob3obo2bo3b2o2bob2o4b2o2bo2bob3obo4b2o3b2o4b3o2b2o
3b2ob2obobobo3bob2o2bo2b2obob2o2b7o4b7ob2obob6o2b8ob4ob2ob3obo2bobo3b
3o2bobo3b3obo3b2o2bob2o2bo2bo6b2obo2bo2bobo$170b2ob3o5bo2b3ob2o2bob3o
5bobo3bob2o5bobobo2bobo2bobobob3o2b5o2bob4obo2bobob2ob2obo2bo2b2obob3o
5b4o2b2o3bob3o5bo3b2o2bob2ob4obob2o2b2obob5o2bo2b2ob3ob4o3b3o2b3ob2o2b
5o2b2obo3bo2b3obob5o2bobobobo2bo2b3ob2ob2ob5obobo2b4o3bo2b2ob3ob4ob2ob
o3b2obobo3bo2bo3bo4bobo2bob4o2b2ob2o3bo10b3obo2b2o4bo$167bo2bobob2o2bo
bobo3bo4b2ob6o2bo3bob2ob2o6bo2b2ob5o2b3ob3o2b2o2bo2b3o2bob3obob3o3b2o
2b4ob3o3bo3bo2b2ob2ob7ob2o4b2o2bo5b2obo3b2o2bobobob2obo4b2o2bobobob2ob
3obo5b3obo2b2obobo4b3ob2ob3o2bo2b3o3b2o2b3o2b3o2b2o3bob2o2b5ob3o2bo3bo
6bo2bob2ob2ob2ob3o4b2obo3b2ob6obobo4bobo2b2ob5o2bo2bobobo3b3obobo3bo$
168b3ob2o2bo2bobob5ob3o4b2o3bob5o2bo4b2o2bo4b2o2bobo2b4obobo4bobobo2bo
4b4obo2b2ob2obo2b3o6bo4b2o2b2ob4obo2bo4bo2b2ob2o3b5o3b2obobobo2bo5bobo
b2ob4o2bob3o6bob2obob3ob2ob3ob2obobob3ob2o2bo3b3obo4b7o3b2o6bo2b3o5bob
2obo6bo2bo2bobobo4b3ob3ob5ob2ob8o3b2ob3obo2b3obo2b2o3bo3bob2obobobo$
167bo2bobob5ob8obob2ob3ob2ob2ob2ob5ob2obobo5b2o4b2ob2o3b4o4bob4obobo2b
o4b2ob2ob2o2bobo2b2ob2o2b2ob4o2b2o3bobob2o4b2ob2o2bob2obobobob2obob3o
3b2ob2obobo2bob2ob2obobobo3bo4b2o3bo2bo2b6ob2obo2bob5o4b2o2b4o3bo2bo2b
3ob3obob2o2b2obo4b3obo3b2obobo2b6ob4o6b5o9bo2b2ob3obo2b2ob3obo6b3o7bob
o2bo$168bob3ob2o2b3o3bo3bobobobo6b4o3b2ob2o2b3o4b4o4b3o3bobobobo2bobob
2obo2bob2ob2o2bob8obobo3b14o3b3ob3ob2ob2obo4b6o4b2o2bo9bo2bob3o2b5obob
o2bo6bo3bo2b3ob4obob2o3bobob3ob2o2b2obobobo4bob2obo6b3obob2o2bo4bo5bo
4bo4bo2b2ob2o3bob2ob3obo2b2o2b2o2b3o4b3obobo3bo2bob2o2bo6b2obob4obo!
The failed reflectorless rotating gun makes the rule interesting.

Code: Select all

x = 33, y = 19, rule = B3/S23
4b2o$4b2o8bobo11b2o$15b2o11bobo$15bo14bo$30b2o$15b2o10b2obo$14bo2bo8bo
bobobo$15bobo9bo3b2o$16bo4$3bob2o$b3ob2o13b2o$o19b2o$b3ob2o6b2o$3bobo
7b2o$3bobo$4bo!
#C [[ PASTET 31 PASTE o$o! 15 -11 ]]

User avatar
FWKnightship
Posts: 559
Joined: June 23rd, 2019, 3:10 am
Location: 我不告诉你

Re: Rules with interesting dynamics

Post by FWKnightship » September 30th, 2019, 1:07 am

Moosey wrote:What's the inverse of this rule?

Code: Select all

x = 50, y = 50, rule = B2c3an4ace5acir6ac78/S01c2aen3aij4aejrwz5-ejkr6ac7c8:T50,50
50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$
37ob12o$50o$50o$50o$50o$50o$50o$32o3b15o$31obo3b14o$32o4b14o$50o$50o$
50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$
50o$50o$50o$50o!

Code: Select all

x = 53, y = 53, rule = B1e2-ac3ejkr4eijkrtw5-aij6cik7e/S2-ac3-aci4-ace5-an6-c78
46b2o$45b4o$44b6o$43b8o$42b10o$41b12o$41b12o$41b12o$41b12o$41b12o$41b
12o$20b2o19b12o$20b3o18b12o$20b3o18b12o$20bobo17b6ob6o$21bo18b5obob5o$
40b4obobob4o$40b3obobobob3o$40b3o2bobo2b3o$40b3o3bo3b3o$b3o36b3o7b3o$b
obo36b3o7b3o$b3o36bobo7bobo$41bo9bo5$20b3o$b2o17bobo$b3o16b3o$b3o$bobo
$2bo17$5o$obobo$5o!
I'm too shy to talk to other members.
But I want to upload my apgsearch results to Catagolue like others.

Code: Select all

x = 12, y = 1, rule = JvN29
FWKNIGHTSHIP!

User avatar
Moosey
Posts: 3394
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

Re: Rules with interesting dynamics

Post by Moosey » October 4th, 2019, 3:23 pm

Methusy rule:

Code: Select all

x = 20, y = 20, rule = B2-ak3-ijnq4cn5y6ai/S01c2-c3ai4atz5aij6ace78
3bo2bob2obo2bob2o$b2o2bobo5bo2bobo$2ob2obo3bo3bo$4obobo3b5obobo$ob5o6b
2o2b3o$2obob3o3bob7o$obo2b2ob2obobo3bo$2o2b3obob3obo3b2o$b2o3b2o2b8o$b
4ob2ob2obob3o2bo$3bobob2o5bobo$obo2b2o4b3ob2o2bo$2bo2b5ob5obobo$4b2obo
bo2bo3b2obo$3obo6bobobob3o$10ob3o$3obo5bob4o2b2o$ob2o2bob6obo2bo$4b3ob
3o5bob2o$o5b2ob7o2bo!
Run a large soup and you'll see why I find it interesting: it goes pretty far but always stabilizes

Relative with c/11 smossl:

Code: Select all

x = 6, y = 10, rule = B2-ak3-ijnq4cen5iy6ai78/S01c2-c3ai4atz5aij6cei78
3bo$ob2obo$3bo5$3bo$2b2obo$3bo!
Unfortunately that rule is explosive but this one isn't:

Code: Select all

x = 6, y = 19, rule = B2-ak3-ijnq4cen5iy6ai78/S01c2-c3ai4at5i6ci7e8
2bo$ob2obo$2bo4$2bo$ob2o$2bo8$2bo$3bo$2bo!
(Btw the puffer is a failedrep)

And this one doesn't even have much linear growth:

Code: Select all

x = 11, y = 11, rule = B2-ak3-ijnq4cen5iy6ai7c8/S01c2-c3ai4act5i6ci7e8
2bo$ob2o$2bo6$2bo$ob2o6bo$2bo!
This one also has it and is pretty cool:

Code: Select all

x = 5, y = 6, rule = B2-ak3-ijnq4cenq5iy6ai7c8/S01c2-c3ai4acqt5i6ci7e8
2bo2$o3bo$b3o$b3o$b3o!
In this one ships are more common:

Code: Select all

x = 42, y = 17, rule = B2-ak3-ijnq4cejnq5iy6ai7c8/S01c2-c3ai4acqty5i6ci7e8
41bo$28b2o10bo$28b2o11bo$27bo$o13b13o$bo12b13o$o13b13o8$38bo$32bo4bo$
38bo!
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

User avatar
Gustone
Posts: 618
Joined: March 6th, 2019, 2:26 am

Re: Rules with interesting dynamics

Post by Gustone » October 8th, 2019, 5:19 am

Code: Select all

x = 42, y = 13, rule = B3ai/S1e2eik3i4i
3bo11bo22bo$bobo11bobo20bobo$bo15bo14bo7bo$32bo2$15bo22bo$2o13bob2o8b
2o9bob2o$15bo22bo2$32bo$bo15bo14bo7bo$bobo11bobo20bobo$3bo11bo22bo!

Code: Select all

x = 8, y = 7, rule = B3ai/S1e2eik3i4i
3b2ob2o2$3bo$2obo$3bo2$3b2ob2o!

Code: Select all

x = 22, y = 15, rule = B3ai/S1e2eik3i4i
3bobo$3bobo12bo$18bobo$20bo3$5bo$2b2obo14b2o$o4bo$o2$20bo$18bobo$3bobo
12bo$3bobo!

Code: Select all

x = 9, y = 29, rule = B3ai/S1e2eik3i4i
b2o5$5bo$5bo$o4bo2bo$o7bo$4bo$4bo7$4bo$4bo5$5bo$5bo$o4bo2bo$o7bo$4bo$
4bo!

Code: Select all

x = 9, y = 16, rule = B3ai/S1e2eik3i4i
6bo$6bo5$o$o$5b3o$4bo3bo$4bo3bo$4bo3bo$5b3o2$6bo$6bo!

Code: Select all

x = 8, y = 19, rule = B3ai/S1e2eik3i4i
b2o3b2o2$3bo$2obo$3bo2$b2o3b2o2$3bo$2obo$3bo2$3b2ob2o2$3bo$2obo$3bo2$
3b2ob2o!
My favourite oscillator of all time

Code: Select all

x = 15, y = 13, rule = B3/S23
7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o
4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o!

User avatar
Moosey
Posts: 3394
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

Re: Rules with interesting dynamics

Post by Moosey » October 9th, 2019, 3:21 pm

Why does this rule not explode?

Code: Select all

x = 3, y = 15, rule = B34ei8/S23-kq
bo$obo$bo10$bo$obo$bo!
EDIT:
Relative with RRgun:

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x = 3, y = 4, rule = B2i34ei8/S2-i3-kq4q
b2o$obo$obo$bo!
Leading to this p160 gun:

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x = 23, y = 23, rule = B2i34ei8/S2-i3-kq4q
21b2o$21bo$19bobo$19b2o10$14b2o$13bobo$13bobo$14bo3$2b2o15b2o$bobo15bo
$bo18b3o$2o20bo!
EDIT:

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x = 26, y = 8, rule = B2i34ei8/S2-i3-kq4q
b2o14b2o$obo13bobo$2bo15bo2$24bo$7b3o13b2o$7bo15bobo$8bo!
Rule with lots of ships--both the term and the SL:

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x = 6, y = 6, rule = B2i34ceqt6e8/S2-i3-ak4eiq5ck6c7c8
bo$3o$obo$3b2o$4b2o$3b2o!
Eater for the 2c/16:

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x = 9, y = 12, rule = B2i34ceqt6e8/S2-i3-ak4eiq5ck6c7c8
8bo$6b3o$5bo$5b2o3$bo$3o$obo$3b2o$4b2o$3b2o!
3 common ships:

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x = 10, y = 11, rule = B2i34ceqt6e8/S2-i3-ak4eiq5ck6c7c8
5bo$4b3o$4bobo$7b2o$o7b2o$2o5b2o$o2bo$2bo$6bobo$6b2o$7bo!
Cool oscs in barely-explosive rule:

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x = 53, y = 18, rule = B2i34ct6e8/S2-i3-ak4eiqy5cjk6c7c8
5b2o20b2o17b2o$6bo21bo18bo$4bo21bo18bo$2b4o18b4o15b4o$bo4bo16bo4bo13bo
4bo$obo2bobo2b2o6b2o2bobo2bobo7b2o2bobo2bobo$b2o2b2obo2bo6bo2bob2o2b2o
bo6bo2bob2o2b2obo$8b2o10b2o8bo8b2o5b2obo$8bo12bob2o5b2o8bob2o5b2o$5b2o
bobo10bob2o2b2obo2bo6bob2o2b2obo2bo$5bobobobo10bobo2bobo2b2o7bobo2bobo
2b2o$5bobobobo11bo4bo13bo4bo$5b2obobo13b4o15b4o$8bo16bo18bo$8b2o13bo
18bo$5b2obo2bo11b2o17b2o$5bobo2b2o$6bo!
A rule with a metastable stripes agar, and rivers:

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x = 2048, y = 311, rule = B3-eq4aintw5er6aik7/S2-ik3acjnr4acntyz5er6i
2048o309$332b2o$332b2o!
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

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