Oscillator Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Sokwe
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Posts: 2011
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Re: Oscillator Discussion Thread

Post by Sokwe » July 19th, 2021, 8:03 pm

MathAndCode wrote:
July 19th, 2021, 4:12 pm
hotdogPi wrote:
July 19th, 2021, 8:35 am
p30 traffic light hassler
There is an alternative pentadecathlon placement (which results in an oscillator whose minimum population is four cells lower).
Nice! The bounding box and minimum population can be reduced further by replacing the other pentadecathlons with fumaroles:

Code: Select all

x = 22, y = 32, rule = B3/S23
7b2o4b2o$7bobo2bobo$9bo2bo$8bo4bo$8b2o2b2o$10b2o2$bo$bo$obo$bo$bo7bo$b
o5b2ob2o$bo7bo$obo$bo18bo$bo18bo$19bobo$12bo7bo$10b2ob2o5bo$12bo7bo$
20bo$19bobo$20bo$20bo2$10b2o$8b2o2b2o$8bo4bo$9bo2bo$7bobo2bobo$7b2o4b
2o!
It can also be supported entirely by fumaroles:

Code: Select all

x = 24, y = 32, rule = B3/S23
8b2o4b2o$8bobo2bobo$10bo2bo$9bo4bo$9b2o2b2o$11b2o3$2o2bo$o2b2o$b5o$10b
o$8b2ob2o$b5o4bo$o2b2o$2o2bo$19bo2b2o$19b2o2bo$13bo4b5o$11b2ob2o$13bo$
18b5o$19b2o2bo$19bo2b2o3$11b2o$9b2o2b2o$9bo4bo$10bo2bo$8bobo2bobo$8b2o
4b2o!
-Matthias Merzenich

hotdogPi
Posts: 458
Joined: August 12th, 2020, 8:22 pm

Re: Oscillator Discussion Thread

Post by hotdogPi » July 19th, 2021, 8:10 pm

p63 skewed pulsar hassler

Code: Select all

x = 61, y = 55, rule = B3/S23
40bo$26b2o6bo5bo$26bo6bobo$18b2o3b2obo7bo3bobobo$18bo4bobo12b2o$19b3ob
o12b2obo3b2o$21bob2o13bob2obobo$29b3ob2o2bo$30b2ob2obo$31bob2ob2o$30bo
2b2ob3o$22bobob2obo13b2obo$23b2o3bob2o12bob3o$28b2o12bobo4bo$3bo21bobo
bo3bo7bob2o3b2o$2bobo27bobo6bo$2bobo10bo3b2o6bo5bo6b2o$2o2b2o8bobobobo
6bo$bobo6b2o2bobobo$o2b3o4bobobobob2o6b3o$obo3b2o3b2obo2bo2bo5b2obo$bo
b5o6bo4b3o6bo$3bo10b2o3b3o$3bo10b2o3b3o35bo$bob5o6bo4b3o34bobo$obo3b2o
3b2obo2bo2bo5b2obo4bobo3b2o3bo10bobo$o2b3o4bobobobob2o12bo7bobobobo8b
2o2b2o$bobo6b2o2bobobo10bobo10bobobo2b2o6bobo$2o2b2o8bobobobo7bo12b2ob
obobobo4b3o2bo$2bobo10bo3b2o3bobo4bob2o5bo2bo2bob2o3b2o3bobo$2bobo34b
3o4bo6b5obo$3bo35b3o3b2o10bo$39b3o3b2o10bo$32bo6b3o4bo6b5obo$31bob2o5b
o2bo2bob2o3b2o3bobo$32b3o6b2obobobobo4b3o2bo$42bobobo2b2o6bobo$33bo6bo
bobobo8b2o2b2o$19b2o6bo5bo6b2o3bo10bobo$19bo6bobo27bobo$11b2o3b2obo7bo
3bobobo21bo$11bo4bobo12b2o$12b3obo12b2obo3b2o$14bob2o13bob2obobo$22b3o
b2o2bo$23b2ob2obo$24bob2ob2o$23bo2b2ob3o$15bobob2obo13b2obo$16b2o3bob
2o12bob3o$21b2o12bobo4bo$18bobobo3bo7bob2o3b2o$25bobo6bo$20bo5bo6b2o$
20bo!
User:HotdogPi/My discoveries

Periods discovered: 6,8,10-16,18,20,21G,22,24,25,27-31,32SG,35,36,40,42,45,48,50,54G,55G,57G,60,63-66,70,74S,75,76S,84,96S,100,117G,120,126,128S,138,147,156,196S,217,486,576

S: SKOP
G: gun

Sokwe
Moderator
Posts: 2011
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Re: Oscillator Discussion Thread

Post by Sokwe » July 19th, 2021, 9:06 pm

hotdogPi wrote:
July 19th, 2021, 8:10 pm
p63 skewed pulsar hassler
I believe this is the first engine-based p63. Very nice! The short p9 domino sparker works just as well in this case:

Code: Select all

x = 39, y = 55, rule = B3/S23
29bo$15b2o6bo5bo$15bo6bobo$7b2o3b2obo7bo3bobobo$7bo4bobo12b2o$8b3obo
12b2obo3b2o$10bob2o13bob2obobo$18b3ob2o2bo$19b2ob2obo$20bob2ob2o$19bo
2b2ob3o$11bobob2obo13b2obo$12b2o3bob2o12bob3o$17b2o12bobo4bo$5bo8bobob
o3bo7bob2o3b2o$4bobo14bobo6bo$4bobo9bo5bo6b2o$2b2o2b2o8bo$3bobo2bo$2bo
2b5o5b3o$2bobo4bo5b2obo$3bob2o2b2o6bo$5bo3b2o$5bo3b2o22bo$3bob2o2b2o
21bobo$2bobo4bo5b2obo4bobo6bobo$2bo2b5o11bo9b2o2b2o$3bobo2bo9bobo9bo2b
obo$2b2o2b2o9bo11b5o2bo$4bobo6bobo4bob2o5bo4bobo$4bobo21b2o2b2obo$5bo
22b2o3bo$28b2o3bo$21bo6b2o2b2obo$20bob2o5bo4bobo$21b3o5b5o2bo$30bo2bob
o$22bo8b2o2b2o$8b2o6bo5bo9bobo$8bo6bobo14bobo$2o3b2obo7bo3bobobo8bo$o
4bobo12b2o$b3obo12b2obo3b2o$3bob2o13bob2obobo$11b3ob2o2bo$12b2ob2obo$
13bob2ob2o$12bo2b2ob3o$4bobob2obo13b2obo$5b2o3bob2o12bob3o$10b2o12bobo
4bo$7bobobo3bo7bob2o3b2o$14bobo6bo$9bo5bo6b2o$9bo!
Edit: from the gun discussion thread we have a new p60 traffic light hassler completed by calcyman based on a partial result by hotdogPi:

Code: Select all

x = 32, y = 34, rule = B3/S23
10bo6bo$9b2o6b2o$8b3o6b3o$9b2o6b2o$bo8bo6bo$b3o$4bo$3bobo$4bo4b3o$9bo$
10bo$5b2o$5b2o$25b2o$25b2o$bo10b3o11bo$o3b3o5bobo2b3o4b5obo$bob5o4b3o
2bobo5b3o3bo$5bo11b3o10bo$5b2o$5b2o$25b2o$25b2o$21bo$22bo$20b3o4bo$26b
obo$27bo$28b3o$14bo6bo8bo$13b2o6b2o$12b3o6b3o$13b2o6b2o$14bo6bo!
-Matthias Merzenich

hotdogPi
Posts: 458
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Re: Oscillator Discussion Thread

Post by hotdogPi » July 20th, 2021, 9:59 am

Here are two alternate forms of the co-discovered p40. Is a monomer possible, with a catalyst or low-period oscillator to convert the phi spark (and ship or beehive in the version below) instead of another copy?

Code: Select all

x = 49, y = 55, rule = B3/S23
24b3o$21b3o2bo$20b2o3bo4b2o$21bobobo4b2o$21b2ob2o$22bobo$23bo5$23bo$
22bobo$21b2ob2o$15b2o4bobobo$15b2o4bo3b2o$2b2o16bo2b3o$2b2o16b3o3$21bo
$21bo$2o12b2o4b3o10b2o$2ob2o8bobo17b2o$2bobo8bobo$2bobo8b2ob2o$2b2o12b
2o2$31b2o12b2o$31b2ob2o8bobo$33bobo8bobo$14b2o17bobo8b2ob2o$14b2o10b3o
4b2o12b2o$27bo$27bo3$26b3o16b2o$23b3o2bo16b2o$22b2o3bo4b2o$23bobobo4b
2o$23b2ob2o$24bobo$25bo5$25bo$24bobo$23b2ob2o$17b2o4bobobo$17b2o4bo3b
2o$22bo2b3o$22b3o!

Code: Select all

x = 52, y = 51, rule = B3/S23
21b2o8b2o$23bo7b2o$20bo$21bob2o$23b2o5$24b2o$24b2obo$28bo$16b2o7bo$16b
2o8b2o$3b2o$3b2o2$21bo$2b2o$2o14b2o3b3o$o5bo6b2o6bobo11b2o$6b2o4b2obo
5b3o11b2o$o2bob3o4b3obo2bo$4bob2o4b2o$5b2o6bo5bo14b2o$2b2o14b2o12b2o
14b2o$16b2o14bo5bo6b2o$38b2o4b2obo$32bo2bob3o4b3obo2bo$15b2o11b3o5bob
2o4b2o$15b2o11bobo6b2o6bo5bo$28b3o3b2o14b2o$48b2o$30bo2$47b2o$47b2o$
24b2o8b2o$26bo7b2o$23bo$24bob2o$26b2o5$27b2o$27b2obo$31bo$19b2o7bo$19b
2o8b2o!
User:HotdogPi/My discoveries

Periods discovered: 6,8,10-16,18,20,21G,22,24,25,27-31,32SG,35,36,40,42,45,48,50,54G,55G,57G,60,63-66,70,74S,75,76S,84,96S,100,117G,120,126,128S,138,147,156,196S,217,486,576

S: SKOP
G: gun

MathAndCode
Posts: 4913
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Re: Oscillator Discussion Thread

Post by MathAndCode » July 20th, 2021, 1:36 pm

hotdogPi wrote:
July 20th, 2021, 9:59 am
Here are two alternate forms of the co-discovered p40. Is a monomer possible, with a catalyst or low-period oscillator to convert the phi spark (and ship or beehive in the version below) instead of another copy?
Yes.

Code: Select all

x = 37, y = 54, rule = B3/S23
9b2o$9bo$11bo2bo$7b8o$6bobo6b2o$6bo4bobo2bo$5b2ob2obob3o$4bo2b5o$4b2o
6b4o$10b2obo2bo$10b2o3b2o$7b2o$6bobo2bo$6bo4bo$3b2obobo6bo$4bobobob2o
2bobo$3bo2bo2bo4bo2bob2o$b3obobobo5b3obo$o4bob4ob3o5bo$b2obo2b2o2bo3b
ob3o$2bob4ob2ob4obo$2bo6b2o6bo$3b3obo4bob3o$5bobob2obobo5b2o$6bobo2bo
bo6b2o3$18b2o$17b3o$17b2o4b2o4b5o$32bo$14bo6bo3bo2bo3bo$13bob2o4bo$12b
o3bo3b5o4b2o4b2o$13bobo18b3o$15bo18b2o3$32b2o$32b2o$10bo8b2o$9b2o8b2o
$10b3o$10b3o$10b3o5$12b3o$12b3o$12b3o$4b2o8b2o$4b2o8bo!


Edit: I reduced the population.

Code: Select all

x = 35, y = 54, rule = B3/S23
7b2o$8bo$3bo2bo$3b8o$b2o6bobo$bo2bobo4bo$2b3obob2ob2o$6b5o2bo$2b4o6b2o
$bo2bob2o$b2o3b2o$9b2o$6bo2bobo$6bo4bo$2bo6bobob2o$bobo2b2obobobo$o2b
o4bo2bo2bo$3o5bobobob3o$3b3ob4obo4bo$2bo3bo2b2o2bob2o$2b4ob2ob4obo$7b
2o6bo$4obo4bob3o$o2bobob2obobo5b2o$4bobo2bobo6b2o3$16b2o$15b3o$15b2o4b
2o4b5o$30bo$12bo6bo3bo2bo3bo$11bob2o4bo$10bo3bo3b5o4b2o4b2o$11bobo18b
3o$13bo18b2o3$30b2o$30b2o$8bo8b2o$7b2o8b2o$8b3o$8b3o$8b3o5$10b3o$10b3o
$10b3o$2b2o8b2o$2b2o8bo!


Another edit: Here is a solution that uses a slightly different type of spark:

Code: Select all

x = 40, y = 61, rule = B3/S23
9b2o4b2o$9bo6bo$6bo3bo4bo3bo$6b4obo2bob4o$4b2o5b4o5b2o$3bo2bob2o6b2ob
o2bo$2bobobo3b6o3bobobo$bo2bo4bo6bo4bo2bo$b2o2b2o2bob4obo2b2o2b2o$9bo
bo2bobo$8b2o6b2o$4b2o2bo8bo2b2o$2b3ob2o2bo4bo2b2ob3o$bo22bo$2b4ob2ob2o
2b2ob2ob4o$5bob2o3b2o3b2obo$2b2obo3bob4obo3bob2o$2bobob3o2bo2bo2b3obo
bo$6bobo8bobo$6bo5b2o5bo$4bob14obo$3bobo3bo6bo3bobo$3bobo2bo3b2o3bo2b
obo$b2o2b2obo3b2o3bob2o2b2o$o2b2o3bobo4bobo3b2o2bo$b2o2b2o12b2o2b2o$3b
o4b10o4bo$3bobo3b2o4b2o3bobo$4b2o3bo6bo3b2o$8bobob2obobo$9bob4obo6b2o
$8bo8bo5b2o2$10bo4bo$12b2o8b2o$20b2o14b2o$20bo5bo6b2o$26b2o4b2obo$20b
o2bob3o4b3obo2bo$16b3o5bob2o4b2o$16bobo6b2o6bo5bo$16b3o3b2o14b2o$36b2o
$18bo2$35b2o$35b2o$12b2o8b2o$14bo7b2o$11bo$12bob2o$14b2o5$15b2o$15b2o
bo$19bo$7b2o7bo$7b2o8b2o!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

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cvojan
Posts: 280
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Location: Look behind you

Re: Oscillator Discussion Thread

Post by cvojan » July 20th, 2021, 8:12 pm

Reduction of a P3 sparker in JSLife:

Code: Select all

x = 44, y = 21, rule = B3/S23
13b2obo21bo$12bo2b2o20bob2o$11bobo3b2o18bo2bobo$11bobob2o2bo11b3o4bo2b
2o$10b2o4bob2o11b2o2b2o$9bo3b4obo9bob2ob4o2bo$6bob3o5bobo12bo2bo3bobob
2o$10bo3bobob2o8bo7b2o2bob2o$6bo3bo3bobo3bo6b2o3b2ob2o3bo$5b2o3b2o2b2o
b4o5bob2o2b3o3bobo$4bob5o6bo7bo4b2o3b2ob2o$2b3o4bo2bo2bo3b2o4bobo2bo3b
o2bo$bo9bo2bo2bo2bo5bo4bo3bobo$ob2obo8bo2bobo3b3o10bo$o4bob3o2b2ob3ob
2o2bo4b3o$bobobo3bobo2bo5bo$2ob6o5bo2b3o$2bo6b2ob3obo$2bob4obo6bob2o$
3b2o2bobobob2obob2o$8b2ob2ob2o!
Transparent catalyst enjoyer

Check out my rules:
Tubular
B34jknz5j7e/S234cy6ein8
B2e3-cnqr5e78/S1c23-q4eqz6

JP21
Posts: 1522
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Location: PH

Re: Oscillator Discussion Thread

Post by JP21 » July 20th, 2021, 8:25 pm

I also have these:

Code: Select all

x = 32, y = 86, rule = B3/S23
15b2o5bo$9b2o3bo2bo2b3o$8bo2bo7bo$8bobo3bo5bo$7b2o2bo3b2obobo$4bob2o2b
2ob2obo4b2o$7bob2o6bob2o2bo$3bo2bo2bobob2obo3bobo$3b2o4b2o2b2obob2o2b
2o$8b2o7bobobo$20b2o3$9b2o5b2o$8bo2bo4bo$8bobo7bo$7b2o2bo2b4obo$4bob2o
2b2obo3bobo$7bob2o3b4ob2o$3bo2bo2bobob2o2bobo$3b2o4b2o2bo2bo2bo$8b2o4b
obobo$13bo2bob2o$14b2o3$8b2ob2o$8b2obobob2o$6b2o3bobobo$4bo2b3o3bobo2b
o$8bob2ob3obobo$4bobo6b2o2bobo$2b3o5bo3bo4b2o$bob2o5bobobob3o$4b2o4bo
4bo3b2o$obo3bo6b2o2bobo$o2bo2bo2bo4bob2o2bo$b4obobobo3bo4b2o$5bo2bobo
2b2o$3bo4b2o$3b2o3$10bo$9bobobo$8bo2bob3o$7bo3bo4bo$7b4ob2obobo2bo$4bo
b2o4bob2ob4o4bo$7bo3bo9b2obobo$4bo4bo2bob7o2b2obo$3b2o3bobobobo6bo4b2o
$2bob2o2b2obo3bo3bo2b4o$bo4b2obob2o6bo4bob2o$bobo2bo3bob2obobo2bo3bo3b
o$2o7b2o6bobob2obobobo$2bobo2bobo2b8o7bo$2bobobo3b2o8b7o$3bo2bob2o2b4o
b2obo2bo2bobo$6b2obo2bo2bobobo7b2o3$17bo2bo2bo$17bo2bo2bo$17bob2o2b2ob
o$15bo9bobo$13b3o3bo6bo$14bo2bobo$9b3o3b2o3bo$13b2o2b3o$8b2obo2bobo3b
3o4bo$4bob4ob4obob2o2bo3bobo$7bo6bobo2bobo4bobo$4bo3b2obo2bo2bobob2o2b
2ob2o$3b2o2b3o3bobo3bo3bo5bo$2bob2o4b2ob2ob2obob3ob3o$bo5bo2b2o4b2o4b
4o2b4o$bobo3bo4b3ob2obo4b2obo3bo$2obo8bo3b2obobo5bobo$2bob4o2b4o5bo4bo
4b2o$2bo7bo2bobo4bobobobo4bo$b2o3b2o2bo3b2o2bo3bobobobobo$5bo2bo8bob3o
b2obob2o$6bobo5b3o8bo$5b2obobo3bo2b4ob3o$9b2o6bo2bobo!

Sokwe
Moderator
Posts: 2011
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Re: Oscillator Discussion Thread

Post by Sokwe » July 20th, 2021, 11:08 pm

MathAndCode wrote:
July 20th, 2021, 1:36 pm
hotdogPi wrote:
July 20th, 2021, 9:59 am
Here are two alternate forms of the co-discovered p40. Is a monomer possible, with a catalyst or low-period oscillator to convert the phi spark (and ship or beehive in the version below) instead of another copy?
Yes.

Code: Select all

x = 37, y = 54, rule = B3/S23
9b2o$9bo$11bo2bo$7b8o$6bobo6b2o$6bo4bobo2bo$5b2ob2obob3o$4bo2b5o$4b2o
6b4o$10b2obo2bo$10b2o3b2o$7b2o$6bobo2bo$6bo4bo$3b2obobo6bo$4bobobob2o
2bobo$3bo2bo2bo4bo2bob2o$b3obobobo5b3obo$o4bob4ob3o5bo$b2obo2b2o2bo3b
ob3o$2bob4ob2ob4obo$2bo6b2o6bo$3b3obo4bob3o$5bobob2obobo5b2o$6bobo2bo
bo6b2o3$18b2o$17b3o$17b2o4b2o4b5o$32bo$14bo6bo3bo2bo3bo$13bob2o4bo$12b
o3bo3b5o4b2o4b2o$13bobo18b3o$15bo18b2o3$32b2o$32b2o$10bo8b2o$9b2o8b2o
$10b3o$10b3o$10b3o5$12b3o$12b3o$12b3o$4b2o8b2o$4b2o8bo!
Neat! A p4 domino sparker can also work. Here's a fairly small custom example, although there may be something even smaller:

Code: Select all

x = 33, y = 39, rule = B3/S23
7bo6bo$6bobobob3o$5bo2bob2o$5bobobo3b4o$6b2obob2o3bo$9b2o2b2o$12bo$3b
8ob3o4b2o$3bobo5bobo5b2o$5bo6bo$6bo$2b2o4b2o10bo2bo$3bo16bo2bo5b2o$3o
7b2o7bo5b3o2bo$o8bo9b2ob10o$9bo10bo10bo$14bo5b10ob2o$12bob2o5bo2b3o5bo
$10b2o9b2o5bo2bo$28bo2bo3$31b2o$12b2o17b2o$12bobo3b2o$11b2ob2o2b2o$14b
o$12b2o$12b2o$13bo$12bo$10bo$9bo$9b2o$9b2o$8bo$3b2o2b2ob2o$3b2o3bobo$
9b2o!
-Matthias Merzenich

hotdogPi
Posts: 458
Joined: August 12th, 2020, 8:22 pm

Re: Oscillator Discussion Thread

Post by hotdogPi » July 21st, 2021, 1:48 pm

more partials

p12 (has been partially completed on Discord)

Code: Select all

x = 16, y = 15, rule = B3/S23
2b2o8b2o2$4bo6bo$3bobo4bobo$obo3bo2bo3bobo$o2bobo4bobo2bo$4bo6bo2$4bo
6bo$o2bobo4bobo2bo$obo3bo2bo3bobo$3bobo4bobo$4bo6bo2$2b2o8b2o!
p13

Code: Select all

x = 13, y = 11, rule = B3/S23
bo9bo2$2b3o3b3o$2bobo3bobo$ob3o3b3obo2$ob3o3b3obo$2bobo3bobo$2b3o3b3o
2$bo9bo!
p15

Code: Select all

x = 20, y = 24, rule = B3/S23
3b6o$2bo6bo$bo8bo$2bo6bo$3b6o4$7bo$6bobo$5bo3bo$3bo2bobo4bo3bo$3bo3bo
4bobo2bo$11bo3bo$12bobo$13bo4$12b6o$11bo6bo$10bo8bo$11bo6bo$12b6o!
unrelated p15

Code: Select all

x = 39, y = 7, rule = B3/S23
17bo3bo2$15b3o3b3o$14bo2bo3bo2bo$2bo4bo23bo4bo$2ob4ob2o3b2o2bo3bo2b2o
3b2ob4ob2o$2bo4bo7b3o3b3o7bo4bo!
p24

Code: Select all

x = 42, y = 15, rule = B3/S23
7b2o24b2o$6bo2bo22bo2bo$5bobobo12bo9bobobo$5bobob2o20b2obobo$3b2obo3bo
8b4o8bo3bob2o$3bo2bob2o9b4o9b2obo2bo$2obobobo2bo8b4o8bo2bobobob2o$o2bo
bobob2o20b2obobobo2bo$b2o6bo9bo12bo6b2o$3b5obo22bob5o$3bo4bo24bo4bo$4b
4o26b4o$5bo30bo$3bo34bo$3b2o32b2o!
unrelated p24

Code: Select all

x = 21, y = 35, rule = B3/S23
3bo13bo$2b2o13b2o$bob2o11b2obo$3o2bo9bo2b3o$2bobobo7bobobo$3bobobo5bob
obo$4bo2b3ob3o2bo$5b2obo3bob2o$6b2o5b2o$6bo7bo4$7bo5bo3bo$3bo2bobo3bob
o2bo$3bobo3bobo3bo$6bobo3bobo2$6bobo3bobo$3bobo3bobo3bo$3bo2bobo3bobo
2bo$7bo5bo3bo4$6bo7bo$6b2o5b2o$5b2obo3bob2o$4bo2b3ob3o2bo$3bobobo5bobo
bo$2bobobo7bobobo$3o2bo9bo2b3o$bob2o11b2obo$2b2o13b2o$3bo13bo!
p37 gun — the white cells are the sparks

Code: Select all

x = 105, y = 56, rule = LifeHistory
86.A$84.3A$83.A$83.2A$80.A$71.2A6.A.A$71.2A6.2A$83.2A$79.A4.A$28.A49.
A2.2A.A$26.3A49.A5.A$25.A52.5A.A3.2A$25.2A48.2A.A3.A5.2A$22.A51.3A.4A
16.2A$13.2A6.A.A51.2A.A3.A15.2A$13.2A6.2A46.2A7.5A.A$25.2A42.2A13.A6.
A$21.A4.A54.2A2.A4.3A$20.A2.2A.A31.2A17.2A3.4A4.3A$20.A5.A32.A15.2A9.
A$20.5A.A3.2A24.C2.A.A3.5A3.2A.A.2A4.A.A2.7A$17.2A.A3.A5.2A28.2A3.A
10.A3.A3.A4.A.A.A2.A.2A$16.3A.4A16.2A11.3A11.A.2A.2A.2A6.A5.A.A.A4.A.
A$17.2A.A3.A15.2A5.3A2.A.2A.A5.A3.A.A.A.A.A11.A.A.A.A.A3.A$11.2A7.5A.
A24.A4.A2.A2.A.A4.A.A.A5.A6.2A.2A.2A.A$11.2A13.A6.A17.A.A2.A6.2A.A2.A
.A.A4.A3.A3.A10.A3.2A$23.2A2.A4.3A17.A3.A10.7A2.A.A4.2A.A.2A3.5A3.A.A
$2A17.2A3.4A4.3A22.A.A16.A9.2A15.A$.A15.2A9.A16.A.A22.3A4.4A3.2A17.2A
$.A.A3.5A3.2A.A.2A4.A.A2.7A10.A3.A17.3A4.A2.2A$2.2A3.A10.A3.A3.A4.A.A
.A2.A.2A6.A2.A.A17.A6.A13.2A$9.A.2A.2A.2A6.A5.A.A.A4.A.A2.A2.A4.A24.A
.5A7.2A$5.A3.A.A.A.A.A11.A.A.A.A.A3.A5.A.2A.A2.3A5.2A15.A3.A.2A$4.A.A
4.A.A.A5.A6.2A.2A.2A.A11.3A11.2A16.4A.3A$5.2A.A2.A.A.A4.A3.A3.A10.A3.
2A28.2A5.A3.A.2A$9.7A2.A.A4.2A.A.2A3.5A3.A.A2.C24.2A3.A.5A$18.A9.2A
15.A32.A5.A$12.3A4.4A3.2A17.2A31.A.2A2.A$12.3A4.A2.2A54.A4.A$13.A6.A
13.2A42.2A$20.A.5A7.2A46.2A6.2A$5.2A15.A3.A.2A51.A.A6.2A$5.2A16.4A.3A
51.A$15.2A5.A3.A.2A48.2A$15.2A3.A.5A52.A$20.A5.A49.3A$20.A.2A2.A49.A$
20.A4.A$20.2A$24.2A6.2A$23.A.A6.2A$24.A$20.2A$21.A$18.3A$18.A!
p39

Code: Select all

x = 90, y = 19, rule = B3/S23
o$o$o74bo$37bo8bo$36b3o6b3o28b3o6b3o$35b5o4b5o26bo3bo4bo3bo$35b2ob3o2b
3ob2o31bo2bo$3o6b3o24bo2bo4bo2bo2bo29bo2bo5bo$obo6bobo25b2o6b2o3bo24b
2o3bo2bo3b3o$3o6b3o65b2o6b2o$33bo3b2o6b2o$33bo2bo2bo4bo2bo29b2o6b2o$
35b2ob3o2b3ob2o25b3o3bo2bo3b2o$35b5o4b5o25bo5bo2bo$11bo24b3o6b3o32bo2b
o$11bo25bo8bo28bo3bo4bo3bo$11bo64b3o6b3o2$88bo!
p56

Code: Select all

x = 102, y = 22, rule = B3/S23
13b2o13b2o$9b2obo2bo3b2ob2o3bo2bob2o14bo$10bob3obo2b2ob2o2bob3obo39b2o
13b2o$7b3o6bo9bo6b3o13b3o16b2obo2bo3b2ob2o3bo2bob2o$7bo2b3ob2ob9ob6o2b
o13bobo17bob3obo2b2ob2o2bob3obo$2bo7bo2bobobo7bo7bo15bo2bo13b3o6bo9bo
6b3o$bo9bo2b3o3b3o4b3o2b2o8bo7bobo13bo2b6ob9ob2ob3o2bo$o10bo2bo3bo3bo
5b4o6b2o3bo6b3o15bo7bo7bobobo2bo7bo$bo5bo2b5o6bo11bo5bo3bo15bo8b2o2b3o
4b3o3b3o2bo9bo$2b4o3bobobo3bo3bo11b2ob2obo3bo14bo3b2o6b4o5bo3bo3bo2bo
10bo$2b4o3bobobo3bo3bo11b2ob2obo3bo14bo3bo5bo11bo6b5o2bo5bo$bo5bo2b5o
6bo11bo5bo3bo14bo3bob2ob2o11bo3bo3bobobo3b4o$o10bo2bo3bo3bo5b4o6b2o3bo
14bo3bob2ob2o11bo3bo3bobobo3b4o$bo9bo2b3o3b3o4b3o2b2o8bo15bo3bo5bo11bo
6b5o2bo5bo$2bo7bo2bobobo7bo7bo15b3o6bo3b2o6b4o5bo3bo3bo2bo10bo$7bo2b3o
b2ob9ob6o2bo13bobo7bo8b2o2b3o4b3o3b3o2bo9bo$7b3o6bo9bo6b3o13bo2bo15bo
7bo7bobobo2bo7bo$10bob3obo2b2ob2o2bob3obo17bobo13bo2b6ob9ob2ob3o2bo$9b
2obo2bo3b2ob2o3bo2bob2o16b3o13b3o6bo9bo6b3o$13b2o13b2o39bob3obo2b2ob2o
2bob3obo$53bo14b2obo2bo3b2ob2o3bo2bob2o$72b2o13b2o!
p63; 104P9 works for any individual spark, but the sparks are too close together (p7 could also work)

Code: Select all

x = 47, y = 22, rule = B3/S23
33b2o8b2o2$5bo10bo14b2o12b2o$4b2o10b2o13b2o3bo4bo3b2o$35b3o2b3o$8b2o2b
2o20bo2bo2bo2bo$4bobob2o2b2obobo16bobo4bobo$ob2obob2o4b2obob2obo12bobo
4bobo$o5bo8bo5bo13b2o4b2o5$o5bo8bo5bo13b2o4b2o$ob2obob2o4b2obob2obo12b
obo4bobo$4bobob2o2b2obobo16bobo4bobo$8b2o2b2o20bo2bo2bo2bo$35b3o2b3o$
4b2o10b2o13b2o3bo4bo3b2o$5bo10bo14b2o12b2o2$33b2o8b2o!
p82

Code: Select all

x = 16, y = 25, rule = B3/S23
7b2o$7b2o3$4bo6bo$3bobo4bobo$2bo3bo2bo3bo$o2bobo4bobo2bo$o3bo6bo3bo8$o
3bo6bo3bo$o2bobo4bobo2bo$2bo3bo2bo3bo$3bobo4bobo$4bo6bo3$7b2o$7b2o!
p90; rotates after 45 generations

Code: Select all

x = 15, y = 21, rule = B3/S23
5b2ob2o2$3b3o3b3o$3b3o3b3o$5bo3bo$2b3o5b3o$2o11b2o$o3bo5bo3bo$b4o5b4o
4$b4o5b4o$o3bo5bo3bo$2o11b2o$2b3o5b3o$5bo3bo$3b3o3b3o$3b3o3b3o2$5b2ob
2o!
p65+; any odd number works

Code: Select all

x = 69, y = 24, rule = B3/S23
2bo10bo2$b2o10b2o$o2bo8bo2bo$obo10bobo36b3o8b3o$bo3bo4bo3bo36bo3bo6bo
3bo$5bo4bo38bobo3bo6bo3bobo$bo3bo4bo3bo36bo3bo6bo3bo$obo10bobo36b3o8b
3o$o2bo8bo2bo$b2o10b2o3$b2o10b2o$o2bo8bo2bo$obo10bobo36b3o8b3o$bo3bo4b
o3bo36bo3bo6bo3bo$5bo4bo38bobo3bo6bo3bobo$bo3bo4bo3bo36bo3bo6bo3bo$obo
10bobo36b3o8b3o$o2bo8bo2bo$b2o10b2o2$2bo10bo!
p90+; any multiple of 3 works

Code: Select all

x = 65, y = 38, rule = B3/S23
54b2o3b2o2$54bo5bo$54bo5bo$54b2o3b2o2$50b3o2b2ob2o2b3o$52bobobobobobo$
54b2o3b2o2$54b2o3b2o$52bobobobobobo$6bo7bo35b3o2b2ob2o2b3o$6bo7bo$6bo
7bo39b2o3b2o$3bo13bo36bo5bo$2bobo11bobo35bo5bo$obob2o9b2obobo$o2bobo9b
obo2bo3$54bo5bo$54bo5bo$o2bobo9bobo2bo33b2o3b2o$obob2o9b2obobo$2bobo
11bobo31b3o2b2ob2o2b3o$3bo13bo34bobobobobobo$6bo7bo39b2o3b2o$6bo7bo$6b
o7bo39b2o3b2o$52bobobobobobo$50b3o2b2ob2o2b3o2$54b2o3b2o$54bo5bo$54bo
5bo2$54b2o3b2o!
User:HotdogPi/My discoveries

Periods discovered: 6,8,10-16,18,20,21G,22,24,25,27-31,32SG,35,36,40,42,45,48,50,54G,55G,57G,60,63-66,70,74S,75,76S,84,96S,100,117G,120,126,128S,138,147,156,196S,217,486,576

S: SKOP
G: gun

hotdogPi
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Re: Oscillator Discussion Thread

Post by hotdogPi » July 21st, 2021, 8:54 pm

p84 interchange hassler

Code: Select all

x = 46, y = 60, rule = B3/S23
17bo10bo$16bobo8bobo$16bobo8bobo$13b2obobob2o2b2obobob2o$13bo2bobo2bo
2bo2bobo2bo$15bobobo6bobobo$14b2obob2o4b2obob2o$13bo2bobo2bo2bo2bobo2b
o$13b2o5b2o2b2o5b2o$14bobobobo4bobobobo$14bob3obo4bob3obo$15b5o6b5o2$b
2o5b2o26b2o5b2o$b2o5b2o26b2o5b2o$16b3o8b3o$17bo10bo$3o5b3o6bo10bo6b3o
5b3o$obo5bobo24bobo5bobo$o2bo3bo2bo24bo2bo3bo2bo$b2o5b2o26b2o5b2o$2b2o
3b2o28b2o3b2o4$17b3o6b3o$b2o5b2o7bobo6bobo7b2o5b2o$b2o5b2o7b3o6b3o7b2o
5b2o5$b2o5b2o7b3o6b3o7b2o5b2o$b2o5b2o7bobo6bobo7b2o5b2o$17b3o6b3o4$2b
2o3b2o28b2o3b2o$b2o5b2o26b2o5b2o$o2bo3bo2bo24bo2bo3bo2bo$obo5bobo24bob
o5bobo$3o5b3o6bo10bo6b3o5b3o$17bo10bo$16b3o8b3o$b2o5b2o26b2o5b2o$b2o5b
2o26b2o5b2o2$15b5o6b5o$14bob3obo4bob3obo$14bobobobo4bobobobo$13b2o5b2o
2b2o5b2o$13bo2bobo2bo2bo2bobo2bo$14b2obob2o4b2obob2o$15bobobo6bobobo$
13bo2bobo2bo2bo2bobo2bo$13b2obobob2o2b2obobob2o$16bobo8bobo$16bobo8bob
o$17bo10bo!
User:HotdogPi/My discoveries

Periods discovered: 6,8,10-16,18,20,21G,22,24,25,27-31,32SG,35,36,40,42,45,48,50,54G,55G,57G,60,63-66,70,74S,75,76S,84,96S,100,117G,120,126,128S,138,147,156,196S,217,486,576

S: SKOP
G: gun

User avatar
bubblegum
Posts: 951
Joined: August 25th, 2019, 11:59 pm
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Re: Oscillator Discussion Thread

Post by bubblegum » July 21st, 2021, 9:17 pm

hotdogPi wrote:
July 21st, 2021, 8:54 pm
p84 interchange hassler
reducible with 25-bit T-nosed p4s, as iNoMed and I pointed out on the Discord

Code: Select all

x = 46, y = 50, rule = B3/S23
12bo20bo$12b3o16b3o$15bo14bo$14bo16bo$13bo4b4o2b4o4bo$13bobo14bobo$14b
2ob3o6b3ob2o$17b2o8b2o$b2o5b2o26b2o5b2o$obo5bobo24bobo5bobo$16b3o8b3o$
17bo10bo$3b2ob2o9bo10bo9b2ob2o$4bobo32bobo$3b2ob2o9b3o6b3o9b2ob2o$2b2o
3b2o8bo2bo4bo2bo8b2o3b2o$2obo3bob2o5bo4bo2bo4bo5b2obo3bob2o$b2o5b2o5b
2o4bo2bo4b2o5b2o5b2o$16bo4bo2bo4bo$18bo8bo$22b2o$b2o5b2o9b8o9b2o5b2o$b
2o5b2o9b2o4b2o9b2o5b2o5$b2o5b2o9b2o4b2o9b2o5b2o$b2o5b2o9b8o9b2o5b2o$
22b2o$18bo8bo$16bo4bo2bo4bo$b2o5b2o5b2o4bo2bo4b2o5b2o5b2o$2obo3bob2o5b
o4bo2bo4bo5b2obo3bob2o$2b2o3b2o8bo2bo4bo2bo8b2o3b2o$3b2ob2o9b3o6b3o9b
2ob2o$4bobo32bobo$3b2ob2o9bo10bo9b2ob2o$17bo10bo$16b3o8b3o$obo5bobo24b
obo5bobo$b2o5b2o26b2o5b2o$17b2o8b2o$14b2ob3o6b3ob2o$13bobo14bobo$13bo
4b4o2b4o4bo$14bo16bo$15bo14bo$12b3o16b3o$12bo20bo!
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
sonata wrote:
July 2nd, 2020, 8:33 pm
conwaylife signatures are amazing[citation needed]
anything

Sokwe
Moderator
Posts: 2011
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Re: Oscillator Discussion Thread

Post by Sokwe » July 22nd, 2021, 5:19 am

bubblegum wrote:
July 21st, 2021, 9:17 pm
hotdogPi wrote:
July 21st, 2021, 8:54 pm
p84 interchange hassler
reducible with 25-bit T-nosed p4s, as iNoMed and I pointed out on the Discord
One of the T-nosed p4s can be replaced by an eater:

Code: Select all

x = 46, y = 50, rule = B3/S23
12bo$12b3o$15bo$14bo$13bo4b4o$13bobo$14b2ob3o$17b2o$b2o5b2o26b2o5b2o$o
bo5bobo21bo2bobo5bobo$16b3o11b3o$17bo11bo$3b2ob2o9bo11b2o7b2ob2o$4bobo
32bobo$3b2ob2o9b3o6b3o9b2ob2o$2b2o3b2o8bo2bo4bo2bo8b2o3b2o$2obo3bob2o
5bo4bo2bo4bo5b2obo3bob2o$b2o5b2o5b2o4bo2bo4b2o5b2o5b2o$16bo4bo2bo4bo$
18bo8bo$22b2o$b2o5b2o9b8o9b2o5b2o$b2o5b2o9b2o4b2o9b2o5b2o5$b2o5b2o9b2o
4b2o9b2o5b2o$b2o5b2o9b8o9b2o5b2o$22b2o$18bo8bo$16bo4bo2bo4bo$b2o5b2o5b
2o4bo2bo4b2o5b2o5b2o$2obo3bob2o5bo4bo2bo4bo5b2obo3bob2o$2b2o3b2o8bo2bo
4bo2bo8b2o3b2o$3b2ob2o9b3o6b3o9b2ob2o$4bobo32bobo$3b2ob2o9bo11b2o7b2ob
2o$17bo11bo$16b3o11b3o$obo5bobo21bo2bobo5bobo$b2o5b2o26b2o5b2o$17b2o$
14b2ob3o$13bobo$13bo4b4o$14bo$15bo$12b3o$12bo!
Unfortunately, I wasn't able to find a small replacement for the other T-nosed p4. The symmetrically placed eater doesn't work.
-Matthias Merzenich

User avatar
iNoMed
Posts: 212
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Location: Scotland

Re: Oscillator Discussion Thread

Post by iNoMed » July 22nd, 2021, 7:16 am

Here's a sizable reduction to the period-9 honey farm hassler originally found by JP21 earlier this year, as a result of the usage of smaller 41-cell period-3 sparkers (Instead of the 52-cell sparkers used by JP21):

Code: Select all

x = 31, y = 17, rule = B3/S23
o9bo$o9b3o$o12bo9b2o$bo10bo9bobo4bo$ob2o3b2o3bo3bo5bo5bobo$bo4bobo11bo
b2o4b2o$2b2o2b2o5bo2bo6b2o3b2o$3bo10b2o6b2o3b2o$3bo4b2o11b2o4bo$2b2o3b
2o6b2o10bo$b2o3b2o6bo2bo5b2o2b2o$b2o4b2obo11bobo4bo$obo5bo5bo3bo3b2o3b
2obo$bo4bobo9bo10bo$6b2o9bo12bo$18b3o9bo$20bo9bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

Sokwe
Moderator
Posts: 2011
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Re: Oscillator Discussion Thread

Post by Sokwe » July 22nd, 2021, 7:21 am

hotdogPi wrote:
July 21st, 2021, 1:48 pm
p15

Code: Select all

x = 20, y = 24, rule = B3/S23
3b6o$2bo6bo$bo8bo$2bo6bo$3b6o4$7bo$6bobo$5bo3bo$3bo2bobo4bo3bo$3bo3bo
4bobo2bo$11bo3bo$12bobo$13bo4$12b6o$11bo6bo$10bo8bo$11bo6bo$12b6o!
This can be completed with a rarely used pentadecathlon spark:

Code: Select all

x = 23, y = 24, rule = B3/S23
4b6o$3bo6bo8b3o$2bo8bo$3bo6bo7bo3bo$4b6o8bo3bo2$19b3o2$8bo$b3o3bobo9b
3o$6bo3bo$o3bo2bobo4bo3bo3bo$o3bo3bo4bobo2bo3bo$12bo3bo$b3o9bobo3b3o$
14bo2$b3o2$o3bo8b6o$o3bo7bo6bo$11bo8bo$b3o8bo6bo$13b6o!
hotdogPi wrote:
July 21st, 2021, 1:48 pm
p12 (has been partially completed on Discord)
I would appreciate it if the Discord results (even the partial results) would get mirrored on the forums. Things tend to be quickly buried and forgotten on Discord.

Edit: the only other use I can immediately see for the above pentadecathlon "spark" is to slightly reduce the bounding box and minimum popluation of Raucci's p45 pi hassler:

Code: Select all

x = 24, y = 33, rule = B3/S23
3bo11bo$3b3o7b3o$6bo5bo$5b2o5b2o7bo$21bo$20bobo$2o19bo$bo19bo$bobo17bo
$2b2o17bo$13bo6bobo$11bo2bo6bo$12bo3bo4bo$12b2o$13bo2bo$15bo2$8bo$7bo
2bo$10b2o$2bo4bo3bo$2bo6bo2bo$bobo6bo$2bo17b2o$2bo17bobo$2bo19bo$2bo
19b2o$bobo$2bo$2bo7b2o5b2o$11bo5bo$8b3o7b3o$8bo11bo!
-Matthias Merzenich

hotdogPi
Posts: 458
Joined: August 12th, 2020, 8:22 pm

Re: Oscillator Discussion Thread

Post by hotdogPi » July 22nd, 2021, 10:06 am

Here's my updated partial RLE (previously last updated June 19):

Code: Select all

x = 1773, y = 730, rule = B3/S23
1203bo2$1179bo21b2o$1179b3o18bobo$1182bo19bo$1181b2o14bo$1196bo2bo$
1127b2o4b2obo6b2obo48b2ob2o$1128bo4bob2o6bob2o49bobobo12b2o$1127bo3b2o
4b2o2b2o10b2o2b2o2b2o34bo2b2o11bo$1127b2o2bo5bo3bo11b2o2b2o2b2o35b2obo
9bobo$1132bo5bo3bo45bo12bo2bo6b2o$1127b2o2b2o4b2o2b2o46bo10b2o2bo$
1128bo2bo5bo5b2obo14b2o23bo2b2o10bo$1127bo4bo5bo4bob2o14b2o15b2o6bo2bo
12bo$1127b2o2b2o4b2o2b2o4b2o28bobo9bob2o$1131bo5bo3bo5bo29bo11b2o2bo$
1127b2o3bo5bo3bo5bo8b2o17b2o12bobobo$1128bo2b2o4b2o2b2o4b2o8b2o32b2ob
2o$1127bo5b2obo6b2obo44bo2bo$1127b2o4bob2o6bob2o46bo14b2o$1188bo19bo$
1188bobo18b3o$1188b2o21bo2$1187bo16$1210bo$1217bo$1207b3o7b2o$1206bo3b
o6bo$1205bo5bo5bo$1128b2o4b2obo6b2obo38b3o15bo3bo3bo4b2o$1129bo4bob2o
6bob2o37bo3bo14bo2bobo2bo4bo$1128bo3b2o4b2o2b2o4b2o4b2o2b2o2b2o20bo5bo
13bo3bo3bo$1128b2o2bo5bo3bo5bo5b2o2b2o2b2o19bo3bo3bo13bo5bo$1133bo5bo
3bo5bo28bo4bo2bobo2bo14bo3bo$1128b2o2b2o4b2o2b2o4b2o27b2o4bo3bo3bo15b
3o$1129bo2bo5bo5b2obo14b2o14bo5bo5bo$1128bo4bo5bo4bob2o14b2o14bo6bo3bo
$1128b2o2b2o4b2o8b2o27b2o7b3o$1132bo5bo9bo29bo$1128b2o3bo5bo9bo8b2o25b
o$1129bo2b2o4b2o8b2o8b2o$1128bo5b2obo6b2obo$1128b2o4bob2o6bob2o10$
1573b2o4b2o$1573bobo2bobo$1575bo2bo$1574b2o2b2o$1573b3o2b3o$1166b2o31b
2o365b4o5bo2bo$1166b2o31b2o364bob2obo$1565b2o2b2o5bo$1565b2o2b2o$1565b
ob2obo3b3o$1566b4o4bobo$1574b3o2$1170b2o23b2o$1169b3o23b3o$1167bo4bo
21bo4bo$1166bo5b2o19b2o5bo171b2o$877bo287bo2b3ob2o19b2ob3o2bo37b3o$
1130b2o2b2o2b2o3b2o20b2o5b3o17b3o5b2o30bo3b4o130b2o$837bob2o6b2obo26b
3o251bo3bo2b2o3b2o18bo6bobobo17bobobo6bo28bo2b2obo130bo2bo$837b2obo6bo
b2o25bo2bo250bo3bo28bo9bo19bo9bo30b2o115b2o9bo$841b2o2b2o4b2o23bo3b2o
248b2o2b2o2b2o3b2o28bo19bo41bo7b2o107bo7b2o2bo3b2o225b2o$842bo2bo5bo
23bo2b3ob5o251bobobobo25b2o23b2o39b5o7b3o101bobo5bo4bo2b2o$841bo4bo5bo
22bo2b2o2bobob2o242b2o2b2o4bobo94b4o7b4o101b2o4b2ob4obobobobo221bo17b
2o4b2o$841b2o2b2o4b2o23bo2b4o3bobo242bo3bo3b2obo27b2o23b2o41b3o7b5o94b
o10bo2bo3bo3bobo2bo6bo193b3o17bo17bobo2bobo$839b2o4bo5bo25bobo3b4o2bo
240bo3bo8b2o28bo19bo50b2o7bo93b3o11bo3b2obobo7bo2bo193bobo7b2o9b2o17bo
2bo$840bo5bo5bo25b2obobo2b2o2bo239b2o2b2o8bo18bo9bo19bo9bo49b2o95bo8b
2ob2ob2o2bo3b2o4bo195b3o7b2o10bo5b2o9b2o2b2o$839bo5b2o4b2o26b5ob3o2bo
252bo19bo6bobobo17bobobo6bo46bob2o2bo92b2o11b3o7bo6bo152b2obo6b2obo6b
2obo33b3o4bobo3bo2bo7b3o2b3o$839b2o4bo5bo32b2o3bo240b2o2b2o7b2o20b2o5b
3o17b3o5b2o47b4o3bo105b3ob2o3bob4obo153bob2o6bob2o6bob2o41bo5b2o10bo2b
o5b4o$559b2o33b2o241b2o7bo5bo33bo2bo241bo3bo8bo20bo2b3ob2o19b2ob3o2bo
45b3o117bo4bo2b2o159b2o2b2o4b2o2b2o4b2o38b2o25bob2obo$560bo33bo243bo6b
2o4b2o33b3o241bo3bo8bo22bo5b2o19b2o5bo167b2o4bo161bo3bo5bo3bo5bo18bo
19bo27b2o2b2o$554b2o2bo37bo2b2o236bo9b2obo279b2o2b2o7b2o22bo4bo21bo4bo
94b2o4bob2o6b2obo37bo17bob2o164bo3bo5bo3bo5bo17bo19bo27b2o2b2o$554bo2b
ob4o29b4obo2bo236b2o8bob2o37bo280b3o23b3o97bo4b2obo6bob2o36bo2bo8b2o7b
5o160b2o2b2o4b2o2b2o4b2o17bo42bo4bob2obo$547b2o2b2obob2o4bo29bo4b2obob
2o2b2o562b2o23b2o97bo3b2o8b2o4b2o32b3o2bo8b2o5b2o3bobo155b2obo4bo5bo3b
o5bo61bo5b4o$524bo22bo2bobobo4b2o6b2o17b2o6b2o4bobobo2bo686b2o3bo8bo5b
o33bo2b2o11b2o3b3o2bo157bob2o5bo5bo3bo5bo13b3o3b3o38bo$522b3o23bobobob
2o4bobo29bobo4b2obobobo691bo10bo5bo6b2o2b2o2b2o15bo2bo2b3o3b2o3b2o3b3o
2bo2bo152b2o8b2o4b2o2b2o4b2o$521bo24bobobo4bob2o4bo5b4o9b4o5bo4b2obo4b
obobo685b2o2b2o8b2o4b2o6b2o2b2o2b2o18bo2b3o3b2o11b2o2bo153bo9bo5bo3bo
5bo18bo38b3o3b3o$521b2o22bobo6bo3b4o5b6o9b6o5b4o3bo6bobo685bo4bob2o6b
2obo34bobo3b2o5b2o8bo2b3o154bo9bo5bo3bo5bo8b4o5bo$513b2o30bo2b5obo3bo
2bo4b3o17b3o4bo2bo3bob5o2bo684bo5b2obo6bob2o35b5o7b2o8bo2bo155b2o8b2o
4b2o2b2o4b2o7bob2obo4bo42bo$462bo23b2o58b2o18b2o7bo3bo7b2o18b2o685b2o
8b2o8b2o14b2o20b2obo17bo158b2obo6b2obo6b2obo9b2o2b2o27bo19bo$462bo4b2o
15b2o2bo26b3o31b2ob2o7bo2bo2b3o4bobobobo4b3o2bo2bo7b2ob2o560b2o31b2o
104bo8bo15b2o18bo4b2o175bob2o6bob2o6bob2o9b2o2b2o27bo19bo$457bo2bo6b2o
14bo4bo24bo3bo5b3o2bo21bobo8b2o5b7obobob7o5b2o8bobo561b2o31b2o93b2o8bo
10bo32b2o2bo4bo207bob2obo25b2o$423b2o3b2o4b2obo19bo2b2o21b2ob2o2bo15b
2o5bo3bo10bo21bobo15b9ob9o15bobo690bo8b2o8b2o30bob4obo3b2ob3o203b4o5bo
2bo10b2o5bo$423b2o3b2o4bob2o21b2o46bo5bo2bo5bo3bo24bo51bo690bo5bob2o6b
2obo12b2o17bo6bo7b3o11b2o197b3o2b3o7bo2bo3bobo4b3o$432b2o4b2o40bo2b2ob
2o19bobo5bo7bo2bo376b2o7bo381b2o4b2obo6bob2o12b2o17bo4b2o3bo2b2ob2ob2o
8bo199b2o2b2o9b2o5bo10b2o7b3o$423b2o3b2o2bo5bo43bo4bo20b2o14b3o376b2o
5b3o430bo2bo7bobob2o3bo11b3o197bo2bo17b2o9b2o7bobo$423bobobobo3bo5bo
42bo2b2o422bo433bo6bo2bobo3bo3bo2bo10bo195bobo2bobo17bo17b3o$425bobo4b
2o4b2o20b2o21b2o66bo51bo305b2o440bobobobob4ob2o4b2o201b2o4b2o17bo$424b
2obo4bo5bo21b2o88bobo15b9ob9o15bobo295b2o453b2o2bo4bo5bobo$428b2o3bo5b
o72b3o14b2o19bobo8b2o5b7obobob7o5b2o8bobo277b2o471b2o3bo2b2o7bo224b2o$
429bo2b2o4b2o72bo2bo7bo5bobo17b2ob2o7bo2bo2b3o4bobobobo4b3o2bo2bo7b2ob
2o276b2o15bob2o459bo9b2o$428bo3bo5bo73bo3bo5bo2bo5bo14b2o18b2o7bo3bo7b
2o18b2o228bob2o6b2obo46b2ob2ob2o447bo2bo$428b2o3bo5bo70bo10bo3bo5b2o
12bo2b5obo3bo2bo4b3o17b3o4bo2bo3bob5o2bo227b2obo6bob2o48b3ob2o2bo305b
2o138b2o$429bo2b2o4b2o70bo2b3o5bo3bo19bobo6bo3b4o5b6o9b6o5b4o3bo6bobo
231b2o2b2o4b2o4b2o2b2o2b2o22bo12b2o2bobo304bo$428bo5b2obo83b3o22bobobo
4bob2o4bo5b4o9b4o5bo4b2obo4bobobo233bo2bo5bo5b2o2b2o2b2o21bobo2b2o12bo
303bobo137b2o$428b2o4bob2o110bobobob2o4bobo29bobo4b2obobobo234bo4bo5bo
36bo2b2ob3o301bo11b2o$524b2o21bo2bobobo4b2o6b2o17b2o6b2o4bobobo2bo233b
2o2b2o4b2o39b2ob2ob2o230b2o2b2o$516b2o29b2o2b2obob2o4bo29bo4b2obob2o2b
2o231b2o4bo5bo13b2o27b2obo15b2o216bo3bo4b2obo56b3o$517bo36bo2bob4o29b
4obo2bo239bo5bo5bo12b2o46b2o215bo3bo5bob2o55bo3bo$514b3o37b2o2bo37bo2b
2o238bo5b2o4b2o42b2o233b2o2b2o2b2o8b2o2b2o2b2o41b2ob2o413b3o$514bo45bo
33bo244b2o4bo5bo34b2o250bo9b2o2b2o2b2o41bo3bo10bobo400bobo4b4o$559b2o
33b2o241b2o7bo5bo8b2o24bo242b2o2b2o3bo60b3o10bo3bo15b2o382b3o3bob2obo$
838bo6b2o4b2o8b2o21b3o5b2o237bo3bo2b2o50b3o7bo5bo7bo2bo15b2o388b2o2b2o
$459bo3bo373bo9b2obo33bo7b2o236bo3bo5b2obo12b2o15b2o15bo2bo7bo5bo7b3o
399bo5b2o2b2o$837b2o8bob2o279b2o2b2o4bob2o12b2o15b2o15bo3bo10b3o415bob
2obo$457b3o3b3o672b2o4b2o45bobo10bo3bo406bo2bo5b4o$1130b2o2b2o2bo5bo
59b2ob2o404b3o2b3o$452bo2bob2obobob2obo2bo660bo3bo3bo5bo6b2o50bo3bo
148b2o255b2o2b2o$452bobobo3bobo3bobobo659bo3bo3b2o4b2o6b2o51b3o407bo2b
o$386b2o66bo2b2o5b2o2bo661b2o2b2o4b2obo211b2o256bobo2bobo$387bo67b5o3b
5o672bob2o51b2o11bo145bobo256b2o4b2o$387bobo18bo785bobo157b3o$388b2o
16b3o75b2o708bo$397bo7bo787b2o165b2o$405b2o15b2o3b2o4b2obo49bo384b2o9b
2o2b2o9b2o$393b4o25b2o3b2o4bob2o45bo2b3o384bo9bo4bo9bo410b2o2bob2o6b2o
bo32bo$323b2obo6b2obo55b2obobobo37b2o43bob2ob2o382bo11bo2bo11bo410bo2b
2obo6bob2o32bo5bo9b2o203bo$323bob2o6bob2o34bobo21bobo3bo20b2o3b2o8bo
47b3o383b2o9b2o2b2o9b2o409bo7b2o8b2o30b2o5b3o6bobo$327b2o2b2o4b2o32bo
2bo16bobo3bobob2o19bobobobo9bo47bo385bo4bo4bo4bo4bo4bo410b2o7bo8bo7bo
20b3o8b2o6b3o203b3o$327bo3bo5bo33bobo20bo3bo3bo21bobo10b2o430b3ob9ob4o
b9ob3o415bo10bo5bobo19b3o6bob2o10bo200bob2o$328bo3bo5bo30bo8bo9bo2b3o
6b3o20b2obo6b2obo431bo2bo3bobobo3bo2bo3bobobo3bo2bo406b2o6b2o8b2o5bobo
19bo5bo2bo3b3o7bo155b2obo4b2o2b2o3b2o25bo2bob2o$327b2o2b2o4b2o51bo11bo
24b2o4bob2o431b2o30b2o407bo4b2o6b2obo5b2o3b2o16bo2b3o4bo3bo165bob2o5bo
2b2o3b2o25b3ob3o$323b2obo4bo5bo31bo8bo11b3o6b3o2bo23bo2b2o441b2o3b2o8b
2o3b2o412bo6bo6bob2o4bo7bo33bo165b2o2bo34b2o2bo2bo$323bob2o5bo5bo35bob
o13bo3bo3bo28bo3bo23b5o3b5o19bo820b2o4bo5b2o9b2o3b2o27bo6bo165bo3b2o2b
2o3b2o24b5obo$327b2o2b2o4b2o34bo2bo13b2obobo3bobo25b2o3bo21bo2b2o5b2o
2bo17b3o383b2ob2ob2ob2o4b2ob2ob2ob2o416b2o4bo12bobo15bo6bo180bo6bobobo
bo23bo2bo2bo$327bo3bo5bo36bobo14bo3bobo30bo2b2o19bobobo3bobo3bobobo14b
2ob2obo379bo5bo5bo2bo5bo5bo409b2o2b2o7bo11bobo15bo186b2o2b2o4bobo26b2o
7bo$328bo3bo5bo54bobobob2o26bo5b2obo15bo2bob2obobob2obo2bo15b3o2bo379b
2obo5bob2o2b2obo5bob2o410bo3bo6b2o12bo20bo3bo4b3o2bo164b2obo5bo3b2obo
34bobo$327b2o2b2o4b2o57b4o27b2o4bob2o50bo820bo3bo9b2obo19bo7b3o3bo2bo
5bo165bob2o4bo8b2o32bobo$323b2obo6b2obo49b2o69b3o3b3o411bo14bo289bo20b
o104b2o2b2o8bob2o19bo10b2obo6b3o163b2o8b2o8bo33bo$323bob2o6bob2o50bo7b
o92b2o692b3o16b3o143b3o6b2o8b3o163bo18bo13bo$384b3o16b2o54bo3bo420b2o
299bo14bo146bobo6b3o5b2o167bo8b2o7b2o11bobo$384bo18bobo477bo2bo297b2o
14b2o146b2o9bo5bo166b2o9bo8bo11bobo$405bo471bobo4b2o4bobo472bo168b2obo
4bo8bo13bo7b2o$405b2o471bo12bo642bob2o4b2o7b2o16bo2bo2bo$878bo12bo470b
2o204bob5o$1127b2o2b2o2bob2o428bo2bo2b2o$873b2o20b2o231bo3bo2b2obo50bo
6bo170b3o197b3ob3o$873bobo18bobo230bo3bo7b2o38bo2b2o4bobo4bobo4b2o2bo
160bobo197b2obo2bo$457b2o5b2o408b2o18b2o231b2o2b2o7bo38bobo2bo2bo3bo2b
o3bo2bo2bobo160b2o200b2obo$363b2o92b2o5b2o464b2o207bo42b2o4bobo4bobo4b
2o365b3o$321b2obo6b2obo29bo565bo196b2o2b2o6b2o48bo6bo168b2o$321bob2o6b
ob2o29bobo2b2o554bob2obo197bo3bo4b2o47bo12bo372bo$325b2o2b2o4b2o28b2o
21bo497b2o37b2obob2o195bo3bo6bo46b2o12b2o$325bo3bo5bo35bo14b3o498b2o
238b2o2b2o4bo46b3o12b3o$326bo3bo5bo10bo22bobo12bo70b2o7b2o21bo394bob2o
bo40b3o205b2o$325b2o2b2o4b2o9bobo21bobo12b2o68bo2bo5bo2bo21bo347bob2o
6b2obo30bo2bo4bo38bo2bo195b2o2b2o2b2o$321b2obo4bo5bo10bobo22bo48b2o3b
2o2b2obo20bob2obo5bob2obo19bo347b2obo6bob2o29bob6ob2o37b2o5b2o191bo3bo
3bo$321bob2o5bo5bo7b2o3b2o69b2o3b2o2bob2o19b2o3b3o3b3o3b2o13bo356b2o8b
2o27bo6bo3bo43b2o190bo3bo3bo$325b2o2b2o4b2o6bo7bo30bo50b2o16bo2bo4b2ob
2o4bo2bo11bobo356bo8bo28bo6bo3bo43bo191b2o2b2o2b2o47b3o12b3o$325bo3bo
5bo8b2o3b2o16b2o12bobo36b2o3b2o6bo15bo2bo17bo2bo9b2o6b3o2bo344bo10bo
25bo10b3o42bobo248b2o12b2o$326bo3bo5bo9bobo19bo12bobo36bobobobo7bo14bo
23bo16b4o2bo344b2o8b2o25bo18bo36bobo249bo12bo$325b2o2b2o4b2o9bobo16b3o
14bo39bobo8b2o53b2o4bo344b2o6b2obo33b3o10bo35bo255bo6bo$321b2obo6b2obo
12bo17bo21b2o32b2obo4b2obo55b2o2b2o346bo6bob2o33bo3bo6bo38b3o245b2o4bo
bo4bobo4b2o$321bob2o6bob2o48b2o2bobo35b2o2bob2o54bo4b2o345bo5b2o37bo3b
o6bo40b3o4b2o234bobo2bo2bo3bo2bo3bo2bo2bobo169bo49bo$389bo36bo6b2o50bo
2b4o347b2o4bo39b2ob6obo38b3o4bo2bo234bo2b2o4bobo4bobo4b2o2bo167b3o49b
3o$389b2o34bo7bo15bo23bo11bo2b3o6b2o338b2o7bo39bo4bo2bo39b2o5b3o245bo
6bo176bo55bo$425b2o7bo14bo2bo17bo2bo22bobo339bo6b2o40bob2obo480b2o53b
2o$426bo6b2o16bo2bo4b2ob2o4bo2bo25bo339bo9b2obo36b2o43b2o7b2obob2o$
425bo3b2obo19b2o3b3o3b3o3b2o21bo344b2o8bob2o37b2o52bob2obo417b2o69b2o$
425b2o2bob2o20bob2obo5bob2obo22bo449bo412b2o8b2o69b2o8b2o$455bo2bo5bo
2bo25bo447b2o241b2o14b2o153b2o89b2o$456b2o7b2o718bo14bo$384b2o494b2o
18b2o280b3o16b3o165b3o59b3o$384bo494bobo18bobo279bo20bo148b2o16b2o59b
2o16b2o$379bob2obo494b2o20b2o468bo59bo$379b2obob2o$386bo2bo25bo41b2o5b
2o418bo12bo456b2o30bo29bo30b2o85b2obo4b2obo7b2obo$383b3o3b2o22b3o41b2o
5b2o311b2o105bo12bo456b2o29bobo27bobo29b2o85bob2o4bob2o7bob2o21b2o5bo$
382bo2bo3b3o20bo364bobo103bobo4b2o4bobo456bo30bo29bo30bo90b2o6b2o3b2o
4b2o19b3o3bobo$382b2o8bo14bo4b2o4b2o348b3ob2o4b3o7b2o99bo2bo645bo7bo4b
o5bo19bo2bo2b2ob2o7bo$323b2obo6b2obo13b3o12b3o21bo2b2o2bo21bo349b4o2bo
4b3o6b2o100b2o472bo73bo100bo7bo4bo5bo20b3o2bob4o2b2obo$323bob2o6bob2o
8bo2b2obobo10bobob2o2bo15bobob3o11b3o7bobo353b2o4b3o581b2obo17b2o33b2o
17bob2o97b2o6b2o3b2o4b2o19bo2b2o2bob4o2bo$327b2o8b2o8bobo3bo10bo3bobo
14b2o2bo2b2o2bo19b2o340b3o16bobo21b2o13b2o65bo14bo289bo30bo143bobo17b
2o4b2o21b2o4b2o17bobo94b2obo4b2obo5bo5bo20b2ob2o5bo4bo$327bo9bo9bo3bob
o10bobo3bo15bo5bo11b2o351bo3bo15b2o409b3o26b3o134b2o8bo15bo8b2o21b2o8b
o15bo8b2o85bob2o4bob2o6bo5bo23bo5b2o$154b2obo6b2obo160bo9bo8bobob2o12b
2obobo16b5o12bo8b2o341bo5bo39b2o11b2o60b2obo5bob2o2b2obo5bob2o286bo7bo
8bo7bo137b2o4b2o17bobo39bobo17b2o4b2o83b2o12b2o3b2o4b2o21b2o5bo$154bob
2o6bob2o159b2o8b2o9b3o16b3o18b3o13bo3bo3bo2bo117b2o4bo14bo4b2o207b2o
33bobob2ob2obobo61bo5bo5bo2bo5bo5bo285b2o24b2o142b2o17bob2o37b2obo17b
2o89bo13bo4bo5bo18bo4bo5b2ob2o$158b2o2b2o4b2o153b2obo6b2obo52bo15b2obo
3bobo117bo2bo2bobo12bobo2bo2bo193bo7bo3b3o35bo7bo64b2ob2ob2ob2o4b2ob2o
b2ob2o295b2o6b2o171bo41bo110bo13bo4bo5bo17bo2b4obo2b2o2bo$158bo3bo5bo
154bob2o6bob2o196b2o2bo2bo2b2o4b2o2bo2bo2b2o140b2obo6b2obo40bo7bo2b2o
2bob4o31bo3bo385bo3bo4bo3bo321b2o12b2o3b2o4b2o15bob2o2b4obo2b3o$159bo
3bo5bo19b2o136b2o2b2o53bo19bobo3bob2o118bob2o7bo2bo7b2obo141bob2o6bob
2o50bobo2bo7bo20bobobo3bo3bo3bobobo60b2o3b2o8b2o3b2o295bo2bo6bo2bo147b
o30bo23bo30bo89b2obo4b2obo7b2obo17bo7b2ob2o2bo2bo$158b2o2b2o4b2o157bo
3bo16b3o16b3o15b3o17bo2bo3bo3bo115bobo2bobo2bo8bo2bobo2bobo137b2o8b2o
4b2o39bo5bo2bob2o2bobo4bo20bo2bo3bo5bo3bo2bo54b2o30b2o288bo14bo145bobo
29b2o6bo14b2o29bobo88bob2o4bob2o7bob2o26bobo3b3o$154b2obo4bo5bo20bo
138bo3bo14bobob2o12b2obobo13b5o17b2o8bo115b2obob3o3b2o4b2o3b3obob2o
137bo9bo5bo41bo3bo3b3o5bo28bo3bo5bo3bo57bo2bo3bobobo3bo2bo3bobobo3bo2b
o286bo3bo10bo3bo144bo30b2o4b3o14b2o30bo139bo5b2o$154bob2o5bo5bo18bobob
2o133b2o2b2o14bo3bobo10bobo3bo12bo5bo25b2o118bobo18bobo141bo9bo5bo15bo
25b3o8bo4bo29bo9bo60b3ob9ob4ob9ob3o287bo3bo10bo3bo180bo2bo$152b2o8b2o
4b2o17b2o4b3o43bo83b2obo6b2obo10bobo3bo10bo3bobo8bo2b2o2bo2b2o12b2o
130bo4bo12bo4bo140b2o8b2o4b2o15bo5b2o29b2o3b2o28bo9bo63bo4bo4bo4bo4bo
4bo289bo20bo158bo20b2o33bo$152bo9bo5bo18bo7b2o17bo7bo16bo2bo8b2o70bob
2o6bob2o8bo2b2obobo10bobob2o2bo8b3obobo14bobo7b3o121b2o3bo2b2o2b2o2bo
3b2o143b2obo4bo5bo16bo5bobo4b2o23bo4bo8b3o15bo3bo5bo3bo60b2o9b2o2b2o9b
2o288bob2o14b2obo92b2o2bob2o4b2o3b2o47b2o16b2o17b2o16b2o$153bo9bo5bo
16b2obo2b2o3bobo12b4o5b4o16bob2o6b2o97b3o12b3o11bo2b2o2bo15bo138bob2o
4b2obo148bob2o5bo5bo21bob2ob2ob2o23bo5b3o3bo3bo11bo2bo3bo5bo3bo2bo57bo
11bo2bo11bo289b2o16b2o94bo2b2obo4b2o3b2o47b3o51b3o$152b2o8b2o4b2o16bo
2bo6bo2bo11bo4bo3bo4bo15bo141bo8b2o7b2o4b2o3bobo125b2ob2o4b2ob2o145b2o
4b2o2b2o4b2o15b3o3b4ob2o2bobo16bo4bobo2b2obo2bo5bo10bobobo3bo3bo3bobob
o58bo9bo4bo9bo403bo7b2o79b2o$154b2obo6b2obo41bobo2b4ob4o2bobo15bo3bo
136b3o3bo2bo14bo132bobo6bobo146bo5bo3bo5bo16b3ob2o2b2o2b2o3bo16bo7bo2b
obo27bo3bo65b2o9b2o2b2o9b2o402b2o7bo2b2o3b2o62b2o6b2o15b2o$154bob2o6bo
b2o15bo2bo6bo2bo14bo4bo3bo4bo18b2o3bo135b2o3b3o12b3o292bo5bo3bo5bo11bo
3b2o2b2o2b2ob3o23b4obo2b2o2bo7bo15bo7bo359b2o58b2o80bo3bobobobo52b2o8b
2o6b2ob2o12b2o8b2o$183bobo3b2o2bob2o15b4o5b4o20bo3b2o135bo2bo15bo293b
2o4b2o2b2o4b2o11bobo2b2ob4o3b3o29b3o3bo7bo13bobob2ob2obobo358bo58bo73b
2o6b2o4bobo54b2o19b2o22b2o$186b2o7bo18bo7bo24bo3bo138b2obob2o144b3o6b
3o148b2obo6b2obo15b2ob2ob2obo35b2o25b2o11b2o357bobo54bobo23b2o49bo4b2o
5b2obo74b3o$187b3o4b2o57bo137bob2obo145bo8bo149bob2o6bob2o16b2o4bobo5b
o36bo5bo341b2o2b2o5b2obo30b2o54b2o24bo49bo6bo9b2o44b2o59b2o$189b2obobo
47b2o6b2obo137bo150bo8bo186b2o5bo20b2o15bo3bo13b2o13b2o313bo3bo5bob2o
107bob2obo49b2o4bo11bo45bo59bo$193bo48b2o8bo2bo134b2o353bo19bobo16b3o
343bo3bo4b2o4b2o36b2o14b2o6b2o14b2o27b2obob2o54b2o9bo43b3o61b3o$255bo
286b3o4b3o212b3o4b2o357b2o2b2o3bo5bo35b2o2bo13b2o6b2o13bo2b2o80b2o2b2o
11b2o42bo65bo$192b2o199bo148bo2bo2bo2bo203b2o6b3o4bo2b4o363bo5bo37b2o
36b2o32b3o49bo3bo12bo$6b2o2b2o381b3o146bo2bo2bo2bo203b2o7b3o4b2ob3o
129bo223b2o2b2o3b2o4b2o33bo3bo38bo3bo27bo2bo48bo3bo12bo$7bo3bo346b2o
36bo115bo2b2o23bo4b4o4bo23b2o2bo183bobo134bo3bo224bo3bo5b2obo33b2o48b
2o25b2o50b2o2b2o11b2o42bo65bo$6bo3bo16b2o297b2obo4b2obo57b2o114bobo2bo
22bo2b2ob4ob2o2bo22bo2bobo183b2o71bob2o6b2obo50b2o192b2ob2o28bo3bo6bob
2o36b2o42b2o141b3o61b3o$6b2o2b2o170b2o142bob2o4bob2o19b2o135b2o15bob3o
21bo2bob2o6b2obo2bo21b3obo256b2obo6bob2o38bo8bo2b2o225b2o2b2o3b2o4b2o
28bobo15b2o18b2o15bobo138bo59bo$25b2o2bo152b2o146b2o6b2o16bo2bo42bo3bo
87bo17bo3b3o18bobo3b8o3bobo18b3o3bo159bo101b2o8b2o240b3o3b3o35bo5bo31b
obo13b2o18b2o13bobo139b2o59b2o$6b2o2b2o12bo305bo7bo16b2o2b2o25b2o13bob
o2bo88bo18bo4bo17bo7b4o7bo17bo4bo264bo8bo7bo25b2o2bo8bo61bobo130b3o3b
3o26b2o2b2o4bo5bo31bo50bo38b3o3bo127b3o$7bo3bo12bo2b2o2bo299bo7bo16b2o
bobo24b2o3b4o5b2ob2o89b2o17b5obo14b3o20b3o14bob5o158b2o102bo10bo5bobo
24b2o90bo117bo3bo29bo3bo3b2o4b2o120b2o5b2o102b2o22b2o19b2o$6bo3bo11bo
3bo2bo3bo120b2obo4b2o166b2o6b2o16b3ob3o19bo7b6o5bo2bo88bo18bo3bo60bo3b
o156b3o102b2o8b2o5bobo22bo3bo73bobo10b2o61b2obo6b2obo41b3o5b3o25bo3bo
6b2obo120b2o5b2o2bobo99b2o8b2o12b2ob2o6b2o8b2o$6b2o2b2o10bo3bo2bo3bo
120bob2o5bo15bo146b2obo4b2obo21bo3bo17bobo5bob4obo4b2ob2o85b5o15bo3b2o
16bobo22bobo16b2o3bo154bob2o100b2o6b2obo5b2o3b2o20bo77bo2bo7bo4bo59bob
2o6bob2o25b3o11b2o11b2o23b2o2b2o5bob2o120bo2b2ob4obo111b2o15b2o6b2o$
24bo2b2o2bo126b2o2bo16bob3o142bob2o4bob2o21b2o2bo16b2ob2o4bob4obo5bobo
17b2o3b2o3b2o3b2o52b3o18b2o4bo2bo10bobo24bobo10bo2bo4b2o118b2obo4b2o
27bo6b2o13bo82bo6bob2o4bo7bo70b2obo6b2obo16bo6bo3bo59b2o4b2o2b2o4b2o
22bo3bo3bo6bo3bo5bo3bo158b4o5b3o128b2o$6b2o2b2o19bo126bo3b2o17bobo146b
2o6b2o19b4o18bo2bo5b6o7bo18b2o3b2o3b2o3b2o22bo8bo20bo2bobo22b4o2bo42bo
2b4o125bob2o5bo17b2o9bo4bobo11b3o81bo5b2o9b2o3b2o71bob2o6bob2o14bobo7b
3o60bo5bo3bo5bo22bo5bo2bo7b4o5b4o72bo50bo143b3o51b3o$7bo3bo14bo2b2o
128bo21b3o146bo7bo22bo3b2o14b2ob2o5b4o3b2o94bobo18bo9b3ob3ob2o24b2ob3o
b3o9bo119b2o8bo18b2o12b2obo11bo84b2o4bo12bobo71b2o4b2o2b2o4b2o13bo72bo
5bo3bo5bo20bo3bo3bo93bobo13b2o18b2o13bobo32b3o5b4o98b2o16b2o17b2o16b2o
$6bo3bo147b2o2b2o167bo7bo24bo2bo11bo2bobo13b2o22b2o3b2o3b2o3b2o22b2o6b
2o42bo2bo3b3o2bo3bo3b3o22b3o3bo3bo2b3o3bo2bo117bo9b2o32bob2o10b2o81b2o
7bo11bobo71bo5bo3bo5bo17b2o2bo64b2o4b2o2b2o4b2o10b2o3b2o3bo7bo91bobo
15b2o18b2o15bobo30bob4ob2o2bo98bo33b2o20bo$6b2o2b2o15b2o125b2obo5bo22b
3o141b2o6b2o23b2o2b2o10bo3bo38bobobobo3bobobobo22bob2o2b2obo17bo3bo2bo
17bo2bo2b3o7bo5bo22bo5bo7b3o2bo2bo118bo41b2o2bo94bo6b2o12bo73bo5bo3bo
5bo20bo66b2obo4bo5bo10bobo3bobo2bobo3bobo97b2o42b2o34bobo2b2o5b2o130bo
2bo$154bob2o4bo23bobo137b2obo4b2obo26b2obobo54bobo7bobo51b2o2bo21bo4bo
10b4ob2o20b2ob4o10bo4bo118b2o8b2o33bo95bo9b2obo81b2o4b2o2b2o4b2o87bob
2o5bo5bo9bo7bo3b2o3b2o10b4o5b4o72b2o48b2o34b2o5b2o85bo30b2o14b3o4b2o
30bo$152b2o8b2o22b3obo135bob2o4bob2o26b3ob3o2bo15b2o32b2obo6b2obo26b2o
2b2o19bo3bo2bo36b2ob2o20b2ob2o138b2obo5bo38bo90b2o8bob2o83b2obo4bo5bo
17bo74b2o2b2o4b2o9bo3bo3bo19bo3bo5bo3bo73bo3bo38bo3bo37bo3b3o85bobo29b
2o14bo6b2o29bobo$152bo37bo176bo3bobo15bo37b2o8b2o16bob2o14b2obo9bo45b
2ob2o20b2ob2o138bob2o4bo37bo2b2o185bob2o5bo5bo16bo2b2o70bo3bo5bo8bo2bo
5bo20b2o11b2o77b2o36b2o134bo30bo23bo30bo$153bo8b2o203b2o2bo18b3o35bo9b
o18bo16bo21bo17bo4bo10b4ob2o20b2ob4o10bo4bo118b2o4b2o2b2o24b2o10b2obo
184b2o4b2o2b2o4b2o23bo68bo3bo5bo7bo3bo3bo23b3o5b3o76b2o2bo13b2o6b2o13b
o2b2o$152b2o9bo203b4o21bo34bo9bo20bobo10bobo17b2o3bo16bo2bo2b3o7bo5bo
22bo5bo7b3o2bo2bo117bo5bo30bo11bob2o12b2o169bo5bo3bo5bo13b3o7bobo66b2o
2b2o4b2o12b3o27bo3bo81b2o14b2o6b2o14b2o155bo41bo$154b2obo4bo206bo57b2o
8b2o19bobo10bobo17bo21bo2bo3b3o2bo3bo3b3o22b3o3bo3bo2b3o3bo2bo118bo5bo
2b2o22b3o11bobo4bo9b2o170bo5bo3bo5bo11bo3bo6bo64b2obo6b2obo42b3o3b3o
179b2o75b2o17bob2o37b2obo17b2o$154bob2o4b2o22b2o240bo9bo52bo3bo19bo9b
3ob3ob2o24b2ob3ob3o9bo119b2o4b2o3bo22bo13b2o6bo179b2o4b2o2b2o4b2o9bo4b
o7bo2bo61bob2o6bob2o42b3o3b3o71b2o54b2o48bo2bo69b2o4b2o17bobo39bobo17b
2o4b2o$186b2o239bo9bo57bo23b4o2bo42bo2b4o125b2obo4bo42b2obo181b2obo6b
2obo13b2o10bobo196bobo54bobo47b3o70b2o8bo15bo8b2o21b2o8bo15bo8b2o145b
3o$427b2o8b2o19bobo10bobo16bo3b2o16b2o4bo2bo10bobo24bobo10bo2bo4b2o
118bob2o4b2o41b3o182bob2o6bob2o11bo135b2ob2o72bo58bo129bobo17b2o4b2o
21b2o4b2o17bobo153bo8b3o$458bobo10bobo16bo20bo3b2o16bobo22bobo16b2o3bo
168b2o132b2o20b2o67bobo194b2o58b2o46b2obob2o74b2obo17b2o33b2o17bob2o
96b2obo6b2obo6b2obo32bo2bo8bo$2o4b2obo447bo16bo25bo11bo3bo60bo3bo303bo
22bo373bob2obo76bo73bo98bob2o6bob2o6bob2o27bo2b2o3bo5bo2bo$bo4bob2o15b
2o8b2o190b2o157b3o66bob2o14b2obo14bo2bo3bo14b5obo14b3o20b3o14bob5o169b
o129bob2obo22bob2obo368bo258b2o2b2o8b2o4b2o25bobo4bo6bo3b2o$o9b2o215bo
156b7o72b2o2b2o25bo2b2o15bo4bo17bo7b4o7bo17bo4bo300b2obob2o20b2obob2o
280b2o16b2o67b2o72bo30bo29bo30bo93bo3bo9bo5bo28bo3bobo6bo4bo$2o8bo16bo
6bo193bo157b3o102bo2bo3bo13bo3b3o18bobo3b8o3bobo18b3o3bo611bob2o14b2ob
o139b2o29bobo27bobo29b2o93bo3bo9bo5bo27bo4bo6bobo3bo$11bo14bobo4bobo
191b2o137b2o93bob2o2b2obo40bob3o21bo2bob2o6b2obo2bo21b3obo140b2o159b3o
5bo8bo5b3o283bo20bo139b2o30bo29bo30b2o92b2o2b2o8b2o4b2o28b2o3bo6bo4bob
o$2o8b2o11bobo3bo2bo3bobo152bo10bo163bo94b2o6b2o19bobo18bobo2bo22bo2b
2ob4ob2o2bo22bo2bobo141bo158bo2bo4b3o6b3o4bo2bo283bo3bo10bo3bo323b2obo
6b2obo4bo5bo31bo2bo5bo3b2o2bo$bo4b2obo13bo2bobo4bobo2bo185b5o138bo19b
3o100bobo2bo16bo2b2o23bo4b4o4bo23b2o2bo142bobo156b2o6b2o8b2o6b2o53b2o
8b2o218bo3bo10bo3bo157bo59bo105bob2o6bob2o5bo5bo30bo8bo2bo$o5bob2o17bo
6bo155b4o6b4o19b2o4bo74b2o2b2o2b2o48b2o2b2o93bo8bo22b3o46bo2bo2bo2bo
173b2o10bo458bo14bo140b2o16b2o59b2o16b2o84b2o8b2o4b2o2b2o4b2o31b3o8bo$
2o2b2o184bo2b2o4b2o2bo23b2obo16b2o55b2o2b2o2b2o44b2o2bobo21bobobo100b
5o46bo2bo2bo2bo181b6o152bobo6bobo62b2o6b2o222bo2bo6bo2bo158b3o59b3o
101bo9bo5bo3bo5bo40b3o$4bo22bo6bo156bo2b2o2b2o2bo15b2obobo6bo28bo104bo
b4o16b2ob2o102bo48b3o4b3o180bob5o152bo10bo62bo8bo222bo3bo4bo3bo325bo9b
o5bo3bo5bo$2o3bo17bo2bobo4bobo2bo152bo2bo4bo2bo15bob2ob3o2b2ob2o13bo
12b3o50b2o43bo5b2obo2bo10bo3b2o5b2o98b2o238bo3bo102bob2o5b2obo36b2o2bo
2bo4bo2bo2b2o54bo6bo2bo6bo220b2o6b2o146b2o89b2o87b2o8b2o4b2o2b2o4b2o$b
o2b2o17bobo3bo2bo3bobo116b2obo5b2obo24b2o6b2o23bo3bobo13b3o14bo9b2o38b
2o42bobo23bo2bo2bo2bo2bo96bo50bo8bo146b2obo6b2obo20bo2bo102b2obo5bob2o
33bobo3bobo8bobo3bobo28b2obo4b2o12bo5bo2b2o2bo5bo210b2o24b2o137b2o8b2o
69b2o8b2o89b2obo6b2obo6b2obo$o5b2obo16bobo4bobo119bob2o5bob2o61bobo12b
o2bo13b2o9bo71b2o9bo26bobo2bobo2bobo97bo49bo8bo146bob2o6bob2o14bo6b3o
5bo100b2o7b2o31bo2bobobo10bobobo2bo28bob2o5bo11bo2bo4b2o2b2o4bo2bo210b
o7bo8bo7bo148b2o69b2o99bob2o6bob2o6bob2o$2o4bob2o17bo6bo124b2o7b2o14b
2o22b2o20bo13b3o23bobo39b2o11b2o17bo10b3o24bo2bo2bo2bo2bo5bo90b2o48b3o
6b3o143b2o14b2o8bo2bo14bobo100bo7bo36bo16bo30b2o4b2o2bo11bo7bo6bo7bo
206b3o26b3o$159bo8bo13bobob2o18b2obobo9bo2b3o18bo24b2o40b2o11bob2o10bo
b2obo10bob3o24b2o5b2o5b3o295bo15bo11b2o17bo98bo9bo83bo5bo3b2o12bo5bobo
2bobo5bo208bo30bo153b2o53b2o$25b2o8b2o123bo8bo14bo3bo16bo3bo13bo3bo27b
2o9bo55bo5bo10b2obob2o10bob2ob2obo21b2ob2o6bo299bo15bo10bo17b2o98b2o7b
2o84bo5bo21b2o6b2o398bo55bo$159b2o7b2o14b2o2bo16bo2b2o13bo3bo27bo6b2o
2bobo43b2o10bo32b2obo3bo21bobobo6b2o142bobo6bobo143b2o14b2o11bobo14bo
2bo94b2o5b2obo37bo16bo30b2o4b2o2b2o6bo11bo6bo11bo54b2obo4b2obo45b2o
275b3o49b3o$155b2obo5b2obo17b3o18b3o14bo3bo25bobo4bob2o5bo42b2o10bo3b
2o13b3o4b3o9b3o22b3o150b2ob2o4b2ob2o144b2obo6b2obo14bo5b3o6bo99bo5bob
2o33bo2bobobo10bobobo2bo28b2obo5bo6bob2o5bo3b2o2b2o3bo5b2obo54bob2o4bo
b2o45bo278bo49bo$155bob2o5bob2o18bo20bo16b3o26b2o5bo2b2o2bobo56b3obo
11bo2bo6bo6b2o180bob2o4b2obo145bob2o6bob2o20bo2bo104bo10b2o31bobo3bobo
8bobo3bobo28bob2o4bo9bo2bob4o10b4obo2bo54b2o4b2o6b2o41bobo$153b2o7b2o
77b2o21bobo2b2o2bo38b2o12b5o11b2o6bobo36b3o144b2o3bo2b2o2b2o2bo3b2o
138b2o4b2o2b2o24bo3bo103b2o9bo35b2o2bo2bo4bo2bo2b2o29b2o4b2o2b2o12bo4b
o8bo4bo58bo5bo7bo42b2o$61b2o90bo8bo63b3o11bobo21bo5b2obo38b2o14b2o20bo
16b3o10b2o6bobobo142bo4bo12bo4bo137bo5bo3bo22b5obo102b2o12bo38bo10bo
33bo5bo15bobobo2bo8bo2bobobo57bo5bo7bo$2o2b2obo53bo2bob2o86bo8bo22bo
20bo17bo3bo10bo24bobo2b2o55b2o22bobo12bobobo10bo6b2ob2o142bobo18bobo
138bo5bo3bo21b6o104bo11b2o38bobo6bobo34bo5bo2b2o11bo20bo57b2o4b2o6b2o
24bo2b2o3b2ob3o$bo2bob2o55b3obo85b2o7b2o21b3o18b3o16bo3bo9b2o26bo44b2o
13b2o14bo5b2o2bo11bob2o2bo6b3o5b2o5b2o87bo4bo44b2obob3o3b2o4b2o3b3obob
2o134b2o4b2o2b2o22bo10b2o95bo8b2obo85b2o4b2o3bo11bo20bo59b2obo4b2obo
26bobobo3bo152bo$o7b2o57bob2o84b2obo5b2obo16b2o2bo16bo2b2o15bo3bo20bo
11b2o48b2o12b2o15bo2bo2b3o13b3o2bo2bo4bo5bo2bo2bo2bo2bo83b2ob4ob2o42bo
bo2bobo2bo8bo2bobo2bobo136b2obo6b2obo29bobo94b2o7bob2o32b2o6b2o8b2o6b
2o27b2obo4bo11bobobo2bo8bo2bobobo58bob2o4bob2o29bo5b3o3bo143b3o$2o6bo
54b2ob2obo85bob2o5bob2o16bo3bo16bo3bo16b3o2bo17b3o9bobo61b5o15bo2b2obo
11bo2b2o5bo10bobo2bobo2bobo85bo4bo46bob2o7bo2bo7b2obo138bob2o6bob2o31b
o139bo2bo4b3o6b3o4bo2bo27bob2o4b2o12bo4bo8bo4bo64b2o6b2o34bo2bobo142bo
$9bo43b2o8bo6bo111bobob2o18b2obobo10bo25bo2bo9bo9b2o39b2o11bob3o16bobo
bo12bobo18bo2bo2bo2bo2bo136b2o2bo2bo2b2o4b2o2bo2bo2b2o182b2o139b3o5bo
8bo5b3o46bo2bob4o10b4obo2bo60bo7bo183b2o$2o6b2o16bo9bo24b2o2b2ob2o114b
2o22b2o11bobo24b3o9b2o9bo40b2o12b2o3bo15b3o16bo19b2o5b2o3bo133bo2bo2bo
bo12bobo2bo2bo392bob2o5bo3b2o2b2o3bo5b2obo59bo7bo$bo2b2obo45bo6bobo3bo
bo152bobo3bo21bo22b3o56bo32bobo6b2o13b2ob2o140b2o4bo14bo4b2o319b2obob
2o20b2obob2o40bo11bo6bo11bo58b2o6b2o$o3bob2o19b3o3b3o11bo4bobo4bo3bo2b
obo123b2o6b2o18b2ob2o2b3ob2obo39bo37b2o13bo5bo22b2o6bo6bo2bo13bobobo
487bob2obo22bob2obo51b2o6b2o65b2obo4b2obo31b2o$2o6b2o17bobo3bobo10bobo
2bo3bo4bobo4bo123bo2bo4bo2bo19bo6bobob2o12b2o63b2o13b2obo21b3o9b3o4b3o
112bo398bo22bo51bo5bobo2bobo5bo60bob2o4bob2o32bo4b2o$8bo16bob3o3b3obo
8bobo3bobo6bo129bo2b2o2b2o2bo19bob2o103b2o21bo3bob2o29b3o94b2o397b2o
20b2o49bo7bo6bo7bo99b3o6bo502b2o$2o7bo35b2ob2o2b2o136bo2b2o4b2o2bo19bo
4b2o82b2o38bob2ob2obo10b2obob2o581bo2bo4b2o2b2o4bo2bo100bo7bo502bo$bo
6b2o15bob3o3b3obo6bo6bo8b2o128b4o6b4o20b5o60b2obo4b2o3b2o8b2o43b3obo
10bob2obo108b2obo249b2o4b2o213bo5bo2b2o2bo5bo109b2o144b3o126b2o226b3ob
o$o3b2obo19bobo3bobo9bob2ob2o237bob2o4b2o3b2o55b3o10bo17b3o89b3ob2obo
206b2obo6b2obo29b2o4b2o214bo6bo2bo6bo385b2o230b2o$2o2bob2o19b3o3b3o8b
2obo143bo10bo21b2o67b2o17b2o47bo9b2o15b7o63bo13bo7bo5b2o208bob2o6bob2o
255bo8bo188bo15bo53bo5bo352bo4bo$47bob3o172bo68bo3b2o3b2o8b2o44bobo29b
3o67b2o7b2o9bo6bobo204b2o14b2o253b2o6b2o187bo2bo11bo2bo49bo2bo5bo351bo
2b2obo$26bo9bo10b2obo2bo171bo68bo2bobobobo43bo2bob2o5bo64b2o3b2o4bob2o
21b2o7b2o17b2o204bo15bo7bo170bo271bo3bo11bo3bo47b4o6bo351bo5bo$52b2o
170b2o67b2o4bobo10b2o33b4obo71b2o3b2o4b2obo22b2o5b2o225bo15bo5bobo169b
3o72b2o8b2o153b2o4b2obo5b2obo11bo2bo2bo11bo2bo2bo27b2o15b7o350bo5b5obo
$289b2obo5b2obo10b2o38bobo2b2o74b2o27bo5bo225b2o14b2o5bobo20b2o150bo
237bo4bob2o5bob2o11bo23bo28bo11bo2b2o3b6o121bob2o222bo2b2obo3bo$289bob
2o9b2o45b2o2b2o69b2o3b2o3bo27bo5bo16b2o209b2obo6b2obo5b2o3b2o15bobo2bo
148b2o236bo9b2o7b2o62bobo9bob3o3b3o71b2o4b2obo4b2o3b2o211b2obo5bob2o6b
2obo26b3ob3o$293b2o8bo8b2o35bo74bobobobo2bo51bobo208bob2o6bob2o4bo7bo
14bo2b2o96bob2o4b2o3b2o143b2o131b2o8bo8bo64b2o12b2o3b2o73bo4bob2o4b2o
3b2o33b2o176bob2o5b2obo6bob2o27b2o2b2o6b2o$293bo8bo9b2o36bo75bobo4b2o
52b2o205b2o4b2o2b2o9b2o3b2o116b2obo4b2o3b2o143b2o142bo8bo78b5o73bo3b2o
4b2o43bo180b2o7b2o2b2o4b2o37b2o$63b2o167b2o60bo7b2o45b2o74b2obo6bob2o
22bobo3bobo15bob2ob3obo199bo5bo3bo12bobo122b2o44b2o239b2o8b2o7b2o79b3o
74b2o2bo5bo3b2o3b2o31b3o181bo9bo2bo5bo4b2o2b2o2b2o25bobo$64bo4b2o11bo
148bobo59b2o8bo8b2o115b2o4b2obo22b2o5b2o15bob2o5bo200bo5bo3bo11bobo
123bo2b2o3b2o35b2o240bo4b2obo5b2obo82bo80bo5bo2bobobobo31bo2bo181bo7bo
4bo5bo3b2o2b2o2b2o16b2o8b2o$2b2o2b2o3b2o51bobo13b3o148bo57b2obo9bo9b2o
116bo8b2o253b2o4b2o2b2o12bo123bo3bobobobo45b3o92bo6bo128bo5bob2o5bob2o
87bo70b2o2b2o4b2o4bobo35b2o17b2o161b2o7b2o2b2o4b2o29b2o8b2o$3bo2b2o3b
2o52b2o3bo8bo149b2ob4o53bob2o9b2o125bo10bo20b2o5b2o17b2o207b2obo6b2obo
34b2o2bo93b2o4bobo46bo3bo70bo19bobo4bobo127b2o2b2o7b2o90b3o70bo4b2obo
5b2obo54b2o157b2obo7b2o4bo5bo30bobo$2bo29bo17b2o17bobo7b2o147bobobo2bo
76b2o115b2o8bo21bobo3bobo18bo207bob2o6bob2o33bo2bobo91b2o5b2obo46bo41b
2obo6b2obo18b3o17bo3bo2bo3bo130bo8bo90b5o68bo5bob2o9b2o211bob2o8bo5bo
5bo11b2o18b2o$2b2o2b2o3b2o19bo17b2o18b2o129bo26bobo29b2o50b2o116bo8b2o
303b2o95bo9b2o45bo3bo36bob2o6bob2o17bobobo14bo2bobo4bobo2bo89b2o7bo25b
2o3bo8bo88b2o3b2o12b2o53b2o2b2o4b2o8bo25b2o182b2o11bo5b2o4b2o11b2o18b
2o6b2o2b2o$6bobobobo16b2o38bob3obo77b2obo4b2obo20b2o13b3o23b2o2bo29b2o
68b2o15bo81bo5bob2o401bo11bo49bo34b2o4b2o8b2o14b3ob3o13bo3bo6bo3bo89b
2o5b3o26bo2b2o7b2o15bo23bo47b3o3b3obo9bobo56bo5bo8bo26b2o182bo12b2o4bo
5bo40b3ob3o$2b2o4bobo20bo36b2o3bob2obo2bo71bob2o4bob2o20bo13bobobo3bo
17bo4b2o80b2o15bobo2b2o9b3o81b2o4b2obo23bo5bo371b2o9bo45b2o2bo2bo32bo
5bo9bo13bo2bobobo125bo28bo5b2obo5b2obo11bo2bo2bo11bo2bo2bo44b6o3b2o2bo
11bo52b2o3bo5bo7b2o210bo9b2o7bo5bo37bo3bob2o2bo$3bo3b2obo18b3o39bobo3b
obobo75b2o6b2o13bob2obo13bo3bo3bo17b5o82b2o14bo2bobobo8bo117bo5bo369b
2o11b2o43b2ob2o37bo5bo9bo12bo3b3o126b2o27b2o4bob2o5bob2o13bo3bo11bo3bo
49b7o15b2o52bo2b2o4b2o8bo209b2o10bo6b2o4b2o7b2o26bob5o5bo$2bo8b2o37b2o
16b3o3bob3o78bo7bo14b2obob2o10b2o3bo2bo17b2o4bo6bo3bo87b4obo10b2o115b
2o5b2o17bo4bo100bo245bo12bo39bo2bo2b2o37b2o4b2o8b2o17bo107b2o80bo2bo
11bo2bo45bo6b4o69bo5b2obo9bo212b2obo5bo9b2obo9b2o26bo5bo$2b2o8bo31bo6b
o16bo7bo81bo7bo20b2ob2o4bo4b3obo16bo2b2o11bo20b3o50b2o17bob2o125b2o7b
2o14b2ob4ob2o47bob2o6b2obo19bo163b2o4b2o91bo12bo42bo44b2obo6b2obo82b2o
bo4b2o3b2o113bo15bo46bo5bo2bo70b2o4bob2o9b2o211bob2o5b2o8bob2o37bob2o
2bo$11bo17b3o14bob2obo14b3obo3b3o80b2o6b2o17b2ob3o2bo2b3o2bob3o17b2obo
7b2o3bo19bo3bo5b3o41b2o14b2obo45b2o21b2o58b2o7b2o16bo4bo49b2obo6bob2o
37b3o143b2o4b2o91b2o11b2o41bo3bo40bob2o6bob2o82bob2o4b2o3b2o19b2o10bo
144bo5bo365bo4bo$2b2o7b2o16bo16bo6bo9bobobo3bobo79b2obo4b2obo18bo2b2ob
2obo2b2o3b3o22bo6bo5bo17bobo3bo4bo3bo54bo2bobo10b2o34bo22bo56bo13bo67b
2o8b2o4b2o14bo2b3o14bo3bo302bo37b2o4b2o2b2o25bo58b2o4b2o11b2o2b2o2b2o
7b2o8b5o514b2o$3bo8bo17b2o14b2o15bo2bob2obo3b2o76bob2o4bob2o18b2o4b2o
2b6o2b2o4b2o16b2o6b4o21bo3bo4bo3bobo38b2o12b2o2bo4b2o5b2o34bobo20bobo
137bo8bo5bo17bo3bo13bo3bo298bo3bo37bo5bo3bo25b3o3bo53bo5bo3b2o3b2o2b2o
2b2o2b2o17bo3bo14bo129b3o368bob3o$2bo8bo16bo40bob3obo75b2o12b2o22b3o3b
2o2bob2ob2o2bo25b2o23b3o5bo3bo40b2o20bo2bo2b2o5b2obo28bobo20bobo135bo
10bo5bo16bo3bo13bo3bo299b3o39bo5bo3bo23bobobo2bo9bo3bo6bo3bo29bo5bo2bo
bobobo29b4o14bo505bo$2b2o7b2o15bo44b2o76bo13bo21b3obo2b3o2bo2b3ob2o60b
3o55b2o2bo4b2o3b2o4bobo31bo3b2o17bo3b2o131b2o8b2o4b2o16bo3bo11bo2b3o5b
o174b2o129b2o28b2o4b2o2b2o22b3ob3o11bo2bobo4bobo2bo28b2o4b2o4bobo28b2o
3bo11bo3b2o502b2o$64b2o7bobo76bo13bo19bob3o4bo4b2ob2o107b2o12bo2bobo
15b2o35b2o10b2o9b2o90b2o41bob2o4bo5bo18b3o12bo5b3o2bo174b2o129b2o30b2o
bo6b2obo19bobobo14bo3bo2bo3bo32b2obo5b2obo12b2o15bo14b4o$46b2o17bo8bo
3b2o71b2o12b2o19bo2bo3b2o10b2obob2o100b2o14b2obo13bobo8b2o14b2o27bo98b
o41b2obo5bo5bo20b3o14bo3bo339bob2o6bob2o20b3o16bobo4bobo33bob2o9b2o10b
2o14bo14bo3bo271b2o$46b2o14b3o13bobo72b2obo4b2obo19bo3bo3bo13bob2obo
119bob2o9bo2bo4b2o2bobo18b3o17b5o98bobo43b2o2b2o4b2o19bo3bo13bo3bo146b
2o226bo18bo6bo38b2o8bo41b5o8b2o261b2o$62bo11b2o4bo72bob2o4bob2o19bo3bo
bobo13bo27b2o32b2o42b2o14b4obo11b2o5bobobo2bo13b4o4bo15b5obo97b2o8bo
35bo2bo5bo20bo3bo13bo3bo304b2o133bo8bo44bo10b2o$80b2o107b3o13b2o26b4o
6b2o23b2o42b2o14bo2bobobo5b2o11bob4o11bo9bo13bob2o4b3o30b2o2b2o2b2o
100bo4bo5bo19bo3bo14b3o145b2o21b2o135bo135bo7b2o6b2o170b2o$190bo40bo5b
o6bo84bobo2b2o4bo2bo9b2obo14bo9bo11b3o4b2obo32b2o2b2o2b2o63b2o35b2o2b
2o4b2o20b3o2bo158b2obo22bo136b3o88b2o41b2o8bo6b2o35b2o134bo$231bo3b2o
7bob2o64b2o16b2o8bobo13bob2o11bo4b4o15bob5o107b2ob2o28bob2o6b2obo42bo
143b2o24bobo136bo88b2o37b2obo9bo24b2o151b3o$231bo11b2o2bo64b2o25b2o15b
obo2bo11b3o21b5o42b2o58bo3bo2bobo15bo12b2obo6bob2o24bo188b2o264bob2o9b
2o24bo151bo$229bo3bo6bo4b2o92bobo4b2o3b2o4bo2b2o17b2o16bo46b2o59b3ob4o
14b3o166b2obo4b2o3b2o29bo5bo6bo23bo293b3o5b2o121bo$240b5o67b2o23bob2o
5b2o2bo2bo13b2o21b2o9b2o75b2o25b4o17bo169bob2o4b2o3b2o27b2obo3bobo5bo
23b2o292bo7b2o121bo$238b2o4bo67b2o30b2o5b2o4bo2b2o5b2o3bo17b2o3bo48b2o
61b5o14b2o166b2o45bo4bo3b2o26bo$239bo2b2o100b2o10bobo2bo9bobo20bobo47b
2o12b2obo17bo27bo3bo182bo9b2o3b2o25bo3bob2o7bo24bo4bo36b3o6b3o369b3o2b
o$35bo203bobo70b2o42bob2o12bobo20bobo59bo7bo12bobo29b2o10bo172bo8bobob
obo25bo3bo3bo4b2o28bo36bobo2bo4bo2bobo367b2obobo$33b3o198bo2bobobo70b
2o39b2obo17bo22bo46b2o15bobo13bo29b2ob2o8b2o172b2o10bobo26bo2b2obo2bo
4b2o21b2o2bo2bo12b2o3b2o4b2o3b2o8bo3bo2bo3bo369bo3bob2o4bo$32bo201b4ob
2o101b2o10bob4o14b2o21b2o45b2o9bobo5bo12bo5bo26bo10b2o61b2o111b2obo5b
2obo27b2o2bobo2b2o32bo9bobobo3bobo2bobo3bobobo9bo2bo378b2obo3bo$4b2o4b
ob2o18b2o204bo65b2o2b2o2b2o29bo8bobobo2bo95bo5bobo11bob2o4bobo30bob4o
59b4o111bob2o9b2o21b2o4bo2bob2o2bo25bobo2bo12bo7bo2bo7bo7bo3bo2bo3bo
369b4obo2b3o$5bo4b2obo222bobo65b2o2b2o2b2o26b3o9b2o2bobo85b2o9bobo16bo
bo2bo2bo2bo12b2o16bo2b2obo57b2o2bo2bo106b2o4b2o8bo21b2o4bo3bo3bo24bo5b
o13bo3bo3bo2bo3bo3bo7bo2bo4bo2bo370b5o$4bo3b2o226b2o102bo15b2o86b2o7bo
7bo8bo2bo2bo2bobo16bobo14bo3bobob2o52bobo2bob3obo105bo5bo8bo21bo7b2obo
3bo25b4o16bo5bo4bo5bo8b3o6b3o153b2o215bo2b2o$4b2o3bo447bob2o9bobo4b2ob
o14bo3b2ob4o10b2obobob2o52bo2b5obo2bo4b2o99bo5bo7b2o20b2o3bo4bo51bo3bo
6bo3bo82b2o104b2o7bo170bob3o9b2o8b2o$8bo18bob3o412b2o27bo5bo17b2obobob
2o10b4ob2o3bo54b3o3b2o5b2o98b2o4b2o8bo18bo5bobo3bob2o26b4o210bo11b2o5b
3o168b2obo3bo8b2o8bo$4b2o2b2o17bo2bo413b2o32bo18b2obobo3bo14bobo172b2o
bo9bo19bo6bo5bo26bo5bo117b2o77b2o11bobo15bo172bo4b2o12bo4bobo$5bo4bob
2o461bobo21bob2o2bo16b2o172bob2o9b2o57bo2bobo19bo3bo6bo3bo83bo2bo39b2o
bo6b2obo23b2o10bobo16b2o172b4obo12bo5bo400b2o$4bo5b2obo430b2o30bo23b4o
bo35bob2o4b2o188b2o26bo24bo5bo4bo5bo8b3o6b3o63bobo39bob2o6bob2o36bo2bo
2b2o202bo5bo400bo$4b2o8b2o428b2o54b2o10bo28b2obo5bo186bob2o26bo2bo2b2o
16bo3bo3bo2bo3bo3bo7bo2bo4bo2bo8bob2o4b2o3b2o41bo38b2o4b2o2b2o8b2o2b2o
2b2o19b3ob3obob2o412b2o192bobo$15bo11bo2bo445b2o22b2o8b2ob2o24b2o8bo
187b2o28bo23bo7bo2bo7bo7bo3bo2bo3bo8b2obo4b2o3b2o80bo5bo3bo9b2o2b2o2b
2o20b2o2b3o2bo4bobo197b3o400b2o$4b2o8bo12bob3o412b2o53bo10b2o28bo8b2o
214bo4bo18bobobo3bobo2bobo3bobobo9bo2bo16b2o90bo5bo3bo37b3o4bo6bo2bo
405bo3bo$5bo8b2o428b2o64bo3bo24bo42b2o5b2o3b3o138b2o31bo23b2o3b2o4b2o
3b2o8bo3bo2bo3bo13bo2b2o3b2o8bo71b2o4b2o2b2o36bo2bo4bobo4bo2bo404bo4bo
$4bo5bob2o480b2o14b5o24b2o8b2o31b2o4bo2bob5o2bo167b2o46bobo2bo4bo2bobo
10bo3bobobobo7bobo72b2obo6b2obo12b2o18bo2bo6bo4b3o128b2o4b2obo4b2o3b2o
255bobobo$4b2o4b2obo430b2o49bo17b4o24bob2o5bo38bob3obo2bobo168bo48b3o
6b3o12b2o4bobo9bobo55bo16bob2o6bob2o12b2o18bobo4bo2b3o2b2o130bo4bob2o
4b2o3b2o254bobobo178b2o$32b2o182b2o226b2o46b3o14b4ob3o24b2obo4bo40bo2b
o2b2o178b2o62b2o5b2obo7b2o3b2o50bo2bo14b2o4b2o2b2o4b2o36b2obob3ob3o
128bo9b2o261bo4bo$32bo183bobo273bo15bobo2bo3bo27b2o2b2o42b4o179bobo62b
o9b2o4bo7bo48bobo16bo5bo3bo5bo38b2o2bo2bo131b2o8bo3b2o3b2o35b3o117b2o
4b2obo6bob2o77bo3bo181bo$33b3o182bo225b2o62b2ob2o33bo46b2o183bo61bo11b
o5b2o3b2o48bo2bo17bo5bo3bo5bo6b2o17b2o16bobo10b2o129bo2bobobobo156bo4b
ob2o6b2obo206b2obo6b2obo5bob2o33b3o$35bo178b4ob2o2b2o219b2o65b2o32bo3b
2o227b2o60b2o9bo8bobo51b2o17b2o4b2o2b2o4b2o6b2o18bo15bobo11b2o118b2o8b
2o4bobo35bo5bo115bo3b2o4b2o2b2o15bo61bo5b2o125bob2o6bob2o5b2obo28bo3b
5o$214bo4bobo2bo199b2o3b2o4b2obo106b2o3bo287b2o11b2o7bobo72b2obo6b2obo
25b3o5b2o11bo132bo4b2obo5b2obo35bo5bo12bob4o97b2o2bo5bo4bo14bobo197b2o
2b2o4b2o7b2o26bo2b2o3b2o$212b2o2b2obob2o125bo75b2o3b2o4bob2o5b2o64bo8b
2o20bob2o4bo289bo12bo8bo73bob2o6bob2o25bo7b2o143bo5bob2o9b2o32bobo4bo
12b2o4bo101bo5bo2bo15bobo8b2o2b2o2b2o30b2o8b2o137bo3bo5bo9bo28b3o3b3o$
211bo2b2o3bobo97b2obo6bob2o15b3o82b2o9b2o73bobo19b2obo4b2o287bo12bo
144b2o129b2o2b2o14bo33bo8b2o8bo3bob2o95b2o2b2o4b2o2b2o12b2o3b2o6b2o2b
2o2b2o29bo2bo6bo2bo137bo3bo5bo7bo30b2o3b2o$210bob2o2b2obobo97bob2o6b2o
bo18bo72b2o3b2o2bo87bo247b2o67b2o11b2o168bo6bo102bo14bo33b2o8b2o9b3obo
98bo4b2obo6bob2o7bo7bo44b3o8b3o136b2o2b2o4b2o7b2o30b5o$190bo19bo4bo4bo
14bo13bo73b2o2b2o21b2o8bobo16b2o43bobobobo3bo9b2o17bo57b2o246b2o248b3o
6b3o96b2o3bo13b2o30b2o2bo120bo5bob2o6b2obo8b2o3b2o191b2obo6b2obo7b2o
33b3o$190b3o18b3obob3o14b2o13b2o72bo4bo29b3ob3o61bobo4b2o9b2o15b3o554b
o12bo96bo2b2o14bo30b5o120b2o2b2o4b2o8b2o8bobo16b2o29b3o8b3o132bob2o6bo
b2o8bo34bo$193bo19b2ob2o15bob2o11b2obo72bo2bo30b3ob3o12b3o45b2obo6b2ob
o21bo557b2o10b2o95bo5b2obo9bo26b3o2bob4o123bo5bo10bo8bobo16b2o29bo2bo
6bo2bo130b2o8b2o4b2o5bo$192bo39b3o2bo9bo2b3o70b2o2b2o24bo5b2o2b2o11bo
3bo10b3o35b2o4bob2o5b2o14b2o124bo150bo389b2o4bob2o9b2o23bo3bob2o124b2o
3bo5bo8bo10bo49b2o8b2o131bo9bo5bo6b2o$192bo3bo37bobobo7bobobo68b2obo6b
ob2o18b2ob2o3b6obo5bo2bo5bo8bo3bo35bo2b2o4b2o3b2o291b3o144b2o285bo4b2o
bo3bo120bo2b2o4b2o8b2o203bo9bo5bo3b2o$5b2o4b2obo182bo37bobobo5bobobo
69bob2o6b2obo18b2ob2o4bo2b2o7bobo3bo3bo6bo5bo33bo3bo5bo144b3o153bo142b
o2bo291bobob2o119bo5b2obo6bob2o25b2o26b2o5bo143b2o8b2o4b2o4bo$6bo4bob
2o177bo5bo37bo2b3ob3o2bo74b2o8b2o16b2o2bo4b2ob2o9bo2bobo2bo5bo3bo3bo
32b2o3bo5bo3b2o50bo86bo3bo109b2obo6b2obo28b2o142bobo292bo2b3o119b2o4bo
b2o6b2obo25b2o179b2obo6b2obo5bo$5bo3b2o17bo8bo118b2obo4b2o3b2o20bo3bo
3bo37b2obo3bob2o75bo10bo14bob6o3b2ob2o9bo3bo3bo5bo2bobo2bo33bo2b2o4b2o
3b2o48b3o17b2o8bo57bo5bo5bo102bob2o6bob2o170bo2bo490bo3bo149bob2o6bob
2o5b2o$5b2o2bo146bob2o4b2o3b2o20bo2bobo2bo38b2o5b2o77bo8bo17b2o2b2o5bo
12bo5bo6bo3bo3bobo30bo5b2obo43b2o9bo20b2o6b3o56bo3bo3bo4bo100b2o8b2o
174bo298bo193bo4bo$10bo16b3o6b3o121b2o27bobo3bo3bo38bo7bo76b2o8b2o16b
3ob3o18bo3bo8bo5bo2bo30b2o4bob2o5b2o37bo9b2o26bo59bo2bobo2bo3b3o99bo9b
o303bo3b3o18b3o3bo139bo192bobobo$5b2o2b2o149bo3b2o3b2o18bo2bo5bo120b2o
bo6bob2o18b3ob3o19b3o10bo3bo49b2o37bobo35b2o5b3o50bo3bo3bo3b2o101bo9bo
304b2o3bo16bo3b2o333bobobo$6bo4b2obo10bo5b4o5bo120bo2bobobobo22bo3bo
14bob3o102bob2o6b2obo20bobo8b2o25b3o90b2o44bo51bo5bo4b2o100b2o8b2o33bo
249bo20bo4bo16bo4bo331bo4bo$5bo5bob2o10bo5b4o5bo119b2o4bobo25b3o17b3o
147bo79b2o44bo38bo12bob2o6b2obo27bo3bo5b3o101b2obo6b2obo30b2o245b3o20b
2o11b2o11b2o331bo3bo$5b2o2b2o4b2o8bo5b4o5bo115b2obo5b2obo45b3o22bo5bo
3bo115b3o22b2o52b2o4bo5bobo4bo26bo23bo3bo23b2obo6bob2o17bo10b3o7bo102b
ob2o6bob2o28bo165bo81bo26b2o7bo2bo7b2o$9bo5bo140bob2o9b2o43b3obo16bo2b
obo3bobo2bo117bo81bobo4bo4b4o24bo24bo3b2o20b2o14b2o15bo7b3o10bo100b2o
4b2o2b2o4b2o26b2ob2o160bobo27b2obo6b2obo39b2o24b2o9b2o9b2o335b2o$5b2o
3bo5bo10b3o6b3o115b2o14bo25b3o36bobo3bobo3bo196b2o4bo9bo28b3o21bo5bo
21bo14bo15b3o5bo3bo110bo5bo3bo5bo27bo2b2o160bo2bo26bob2o6bob2o$6bo2b2o
4b2o137bo14bo25bo3bo38bobo3bobo197b2o16b3obo3bo15bobo2bo48bo16bo15b2o
4bo5bo110bo5bo3bo5bo27b2o163b2o25b2o4b2o2b2o4b2o$5bo5b2obo13bo8bo117bo
13b2o23bo5bo2bo252b2o2bo2bobob2o17bo2b2o21bo27b2o14b2o15b2o3bo3bo3bo
108b2o4b2o2b2o4b2o219bo5bo3bo5bo238b2o14b2o$5b2o4bob2o139b2o14bo22bo3b
o3bobo34bobo3bobo197b2o10b2obobo2bo2b2o42bo30bob2o6b2obo16b3o3bo2bobo
2bo110b2obo6b2obo196b2o24bo5bo3bo5bo18b3o5b2o610bo$156b2obo9bo23bo2bob
o2bo33bobo3bobo3bo196b2o8bo3bob3o33b2o2bo15bo25b2obo6bob2o17bo4bo3bo3b
o110bob2o6bob2o221b2o4b2o2b2o4b2o14bo3bo3bobo4b3o7b3o197bobo8bobo384b
3o$156bob2o9b2o22bo3bo3bo33bo2bobo3bobo2bo214bo9bo20bo2bobo10bo3b3o6b
3o19b2o2b2o21bo5bo5bo348b2obo6b2obo16bob2ob2o10bo2b3o3bobo183b2o2bo7bo
2bo8bo2bo7bo2b2o370b5o$194bo5bo38bo5bo3bo194b2o14b4o4bo4bobo19b3o11bo
2bobo2bo5bo3bo2bo16bo2bo29bo3bo163b2o184bob2o6bob2o18bo25bo183bo2b2o7b
ob2o8b2obo7b2o2bo369b2o3b2o$195bo191bo56b2o15bo4bobo5bo22bo11bo2bo3bo
5bo2bobo2bo15bo4bo29b3o166bo181b2o4b2o8b2o16bobo3b3o2bo10b2ob2obo182b
5o5b3o12b3o5b5o369b3o3b3o$196bo3bo12b2ob2o169b3o106bo16b3o6b3o3bo17b2o
2b2o192bo2bo184bo5bo9bo18b3o7b3o4bobo3bo3bo135b2o4b2obo6bob2o435b2o3b
2o2bo$200bo10b3obob3o170bo53b2o50bo26bo18bob2o6b2obo25bo161bobo187bo5b
o9bo31b2o5b3o140bo4bob2o6b2obo436b5o3bo$199bo10bo4bo4bo17bo7bo142b2o6b
2o45b2o55b2o25bo13b2obo6bob2o187b3o186b2o4b2o8b2o180bo9b2o2b2o31b5o10b
o6bo10b5o372b3o$200b3o7bob2o2b2obobo16b2o5b2o254bobo23bo96b2o5b2o111b
2o2b3obo181b2obo6b2obo182b2o8bo4bo8b2o2b2o2b2o12bo2b2o10b2o6b2o10b2o2b
o372bo$202bo8bo2b2o3bobo15b2obo3bob2o147b3o46b2o46b2o9bo120b2o5b2o35bo
83bo181bob2o6bob2o65b2o9b2o9b2o104bo2bo9b2o2b2o2b2o12b2o2bo10bo8bo10bo
2b2o$212b2o2b2obob2o13bo2b3ob3o2bo148b2o45b2o47bo9b2o15bo5bo141b3o62bo
236b2o42b2o7bo2bo7b2o94b2o8b2o2b2o442b2o$214bo4bobo2bo10bobobo5bobobo
104b2o35b2o2bob2o91b3o27b2o3bo145bo61bob3o2b2o229bo39b2o11b2o11b2o92bo
4b2obo6bob2o$214b4ob2o2b2o9bobobo7bobobo138b2o8b2o2bo40b2o44bo30bo3bo
144b2o68b3o94bob2o4bob2o43bo75b3o40bo4bo16bo4bo91bo5bob2o6b2obo12b2o$
2b2o4b2obo20bo185bo13b3o2bo9bo2b3o102b3o30b2o5bo3b3obo40b2o64bo229bobo
94b2obo4b2obo42bobo6b2o66bo42b2o3bo16bo3b2o91b2o2b2o14b2o10b2o$3bo4bob
2o204bobo14bob2o11b2obo103bo2bo35b2o5bo61b2o44bo70b2o156bo2bo99b2o6b2o
40b2o7bo108bo3b3o18b3o3bo93bo16bo421b2o145bo17bo$2bo3b2o25b2o181b2o16b
2o13b2o64b2obo6b2obo31bo5bo23bo5b2obobo42b2o18bo44b3o5b2o57bo4bo42b3o
3b3o102bo106bo7bo47bobo229b2o3bo14bo25b2o2bo10bo8bo10bo2b2o356bobo$2b
2o2bo25bo2bo199bo13bo65bob2o6bob2o26bo4b2ob2obo23bo5bo47b2o15b3o54bo
56b2ob4o44bo3bo105b2o103bo7bo34bo13b2o231bo2b2o14b2o6b2o16bo2b2o10b2o
6b2o10b2o2bo356bo146b3o15b3o$7bo25bobo283b2o2b2o29b2ob2o5bo22bo2bo70bo
53b3o6b2o47b2o5bo44bo5bo209b2o6b2o33bo2b5o238bo5b2obo6bob2o8b2o17b5o
10bo6bo10b5o356b2o146bo2bo13bo2bo$2b2o2b2o12bo6bo2bo3bo284bo3bo36bo3bo
8b2o11bob2o9bo44b2o69bo8b2o13bob2o4b2obo18bo7b2o22b3o19b2o7b2o205b2o6b
2o37bo2bob2o237b2o4bob2o6b2obo203b2o369b2o7b2o$3bo4b2obo7bobo7bobo288b
o3bo28bo2bo3bo2bo10bo7bo4bo11bo44b2o93b2obo4bob2o18bob2o4bobo20bo2bo5b
3o11b2o7b2o30bo2bo172bo7bo37bo2b2o827b2o3b4o5b4o3b2o$2bo5bob2o7bobo7bo
2bo286b2o2b2o27bo3bo17bobo4b2o4bo5b3o2bo4b2o132b2o12b2o18bo2b3o2bo20bo
2b2o4bo2bo7bobo2bo5bo2bobo25b2o4b2o169bo7bo39bo289b5o5b3o12b3o5b5o139b
2o362b2o7bo3bo7b2o$2b2o2b2o4b2o3b2o3b2o6b2o7b2o274b2obo6b2obo23bo5b2ob
2o12b2o4bo2b3o5bo4b2o4bobo38b2o92bo12bo20b3o2bo26bo3b2o2bo9bo2bo5bo2bo
29bo2bo76b2o93b2o6b2o169b2o10b2o144bo2b2o7bob2o8b2obo7b2o2bo138b2o335b
o3b2o23b2o5b2ob2o5b2o23bo$6bo5bo3bo7bo13bo2bo152b3o21bob2ob2o90bob2o6b
ob2o21bob2ob2o4bo18bo11bo4bo7bo38b2o91bo14bo19b2o3b2o18bob2ob2o4bo14b
2o7b2o33b2ob2o70b2o2bo90b2o6b2o171bo12bo144b2o2bo7bo2bo8bo2bo7bo2b2o
84b2o4b2obo6b2obo33b3o2b2o327bo2bobobo2bo28bo5bo28bobo4bo$2b2o3bo5bo3b
2o3b2o15bobo151bo23b2ob2o2b2o93b2o2b2o4b2o19bo5bo23bo9b2obo11b2o130b2o
12b2o25bo20b2ob2o5b2ob2o55b2ob2o68b2ob2o91bo7bo172b3o6b3o158bobo8bobo
98bo4bob2o6bob2o29b2o4b2ob3o270bo55b4obob2obo16b2o27b2o16bobo2b3o$3bo
2b2o4b2o5bobo14bo3bo2bo149bo3bo19bo101bo3bo5bo28bo2bo27bo2bo51b2o93bob
2o4b2obo58b2ob2o53bo2bo4bo70bo90bo7bo175bo6bo271bo3b2o4b2o2b2o33bobo3b
o2b2o271bo60bo4b2o12b2ob2o27b2ob2o12b2obobo$2bo5b2obo7bobo13bobo155bo
2bobo25b2o94bo3bo5bo28b3o21bo5bo54b2o93b2obo4bob2o48b2ob2o61b3o3b3obo
67b2o92b2o6b2o340b2o14b2o95b2o2bo5bo3bo32b2obo2b2o274b4o54b2ob2ob4o3bo
10bo4bo25bo4bo10bo4bo2b3o$2b2o4bob2o8bo14bo2bo156bobo2bo16b2o5b2o93b2o
2b2o4b2o47bobob2o5bo153b2o6b2o46b2ob2o5b2ob2o46bo6bo77bo559bo5bo3bo31b
obobo3bo272bo57bo2bobobobobo13bo4bo25bo4bo13b3obo2bo$36b2o158bo3bo16b
2o96b2obo6b2obo32b2o15bo5b2o58b2o73b2o23bo6bo27bo24bo4b2ob2obo43bobo5b
2obo629b2o2b2o4b2o2b2o32bobob3o272bobob2o53b2o2bo2bo3bo3bo10bo33bo10bo
6b2o$200bo24bo89bob2o6bob2o47bob3o3bo5b2o52b2o73bo23bo8bo26b2o3b2o14bo
2b2o3bo50bob2o5bobo630bo4b2obo6b2obo31bobo272b2o2b3o60b2o6bo12bo29bo
12bo3bo3bo2bo2b2o$38bo158b3o17b2o2b2ob2o150bo2b2o8b2o63b2o64bo22b2o6b
2o27bo2b3o14bo2bo4b2o2bo49bo6bo630bo5bob2o6bob2o22bo3bo2bob2o273b2o3b
2o57bo2bob3o15b2o29b2o15bobobobobo2bo$218b2ob2obo156b2obo2b2o55b2o9bo
63b2o18bob2o4b2obo27bo2b3o2bo14b3o5bo2bo41bob3o3b3o222bo412b2o2b2o4b2o
2b2o4b2o20bob3o2bobo179b2obo6b2obo6b2obo71bo4b2o57b3o2bo4bo12b2o29b2o
12bo3b4ob2ob2o$381b2o61b2o9bobo81b2obo4bob2o27bobo4b2obo20b3o42bo4bo2b
o82b2o139bo2b2o413bo5bo3bo5bo23b5obo180bob2o6bob2o6bob2o72bo2b3o60bobo
b2o15bo2bo23bo2bo15b2o4bo$382b3o71b2o2b2o64b2o51b2o7bo34b2o7b2o22b2ob
2o84bo140bo2bob2o407b2o3bo5bo3bo5bo25bo187b2o2b2o4b2o2b2o4b2o72b4o57b
3o2bobo17b2o25b2o17bob2obob4o$200bo243b2o14b2o64bo50bo5b2o37bo2bo5bo2b
o23b2ob2o83b3o135bo2b5o409bo2b2o4b2o2b2o4b2o213bo3bo5bo3bo5bo74bo2bo
56bo4bobo18bo25bo18bo2bobobo2bo$192bo4b2obo14b3o163b2o6b2o53b2o49bo31b
o48b4ob2o37bobo2bo5bo2bobo25bo2bo82bo135bo13b2o400bo5b2obo6b2obo26b3o
22bo164bo3bo5bo3bo5bo72b2obo63bo65b2o3bo$191bobo3b2o3bo186bo136b2o48bo
4bo41b2o7b2o26b2o4b2o230bobo399b2o4bob2o6bob2o26b3o21b3o162b2o2b2o4b2o
2b2o4b2o50b3o20bo6b3o3bo$192b5o5bo8bobo5bo170b3o51b2o9bo6bo33b3o77b2o
45b2o7b2o28bo2bo225b2o7bo446bo22b3o158b2obo6b2obo6b2obo52b2ob2o25bo2bo
2bo$186bo5b5o16bo5bo172bo51b2o9bo5bobo31bo3bo11b3o12b2o97bo5bo259bobo
6b2o301b2o326bob2o6bob2o6bob2o54b3o29bo$186bo3b2o3bobo15bo5bo234bo2b3o
34bo5bo12bob5o5bobo98bo3bo261bo292bo185bo157b2o8b2o4b2o2b2o4b2o53bo26b
o2bo17b2ob2o$188bob2o4bo18b3o226b2o11b2obob2ob2o14b3o10bo5bo10b2o3bo9b
o97b3o3b3o552bo14b3o165bob5o154bo9bo5bo3bo5bo74b2o5b3o19bobo$188bo255b
2o4bo7b5o17bo3bo9bo5bo11bo14b3o601b2o2b2obo6b2obo38bo12bo166bobo2b3obo
153bo9bo5bo3bo5bo72b4o26bobo$217b3o230b3o14bo11bo5bo9bo3bo17b5o7bo602b
o2bob2o6bob2o38bo7b2ob3o165b2obo2bo3bo152b2o8b2o4b2o2b2o4b2o71b3o2bo
24b2ob2o$215bo5bo222b2o7bo9bo3b2o10bo5bo10b3o14b2ob2obob2o608bo7b2o8b
2o36b3o4b2o2b2o165bobo163b2obo6b2obo6b2obo68b2o3b3o2b2o24bobo$4b2o2bob
2o8bo194bo5bo222b2o6bobo5b5obo12bo5bo34b3o2bo132b2o471b2o6bo9bo39b2o4b
4o165b3obobo160bob2o6bob2o6bob2o59b2o12b4ob2o24bobo$5bo2b2obo8b3o166b
3o23bo5bobo228b2o12b3o11bo3bo31bobo5bo133bo481bo9bo38b3o4b2o165bo3bobo
bo241bobo8b2ob2o29b2ob2o$4bo7b2o9bo164bo34bo220b2o35b3o33bo6bo99b2o5b
2o26b3o469b2o6b2o8b2o40b2o171b2o2bob2o258bo3bo$4b2o7bo8bo165bo3bo24b3o
224b2o6b2o170b2o5b2o28bo470bo2b2obo6b2obo40bob2o7bo158b2o2bo3bobo257bo
7bo$12bo9bo3bo161bo2bobo258bo31bo646bo3bob2o6bob2o40b3o7b3o156b3ob2o4b
2o258b2o2b3o$4b2o6b2o13bo162bobo2bo248b2o7bo64b2o611b2o6b2o2b2o45bo7b
2obo157b2o2b3o266b3o$5bo4b2o10bo5bo162bo3bo119b2obo4bob2o117b2o6b2o64b
2o2b2o615bo3bo54b2o163b2o$4bo6bo9bo3bo5b3o3bo157bo14bob2ob2o98bob2o4b
2obo195bobo606b2o7bo3bo48b2o4b3o161b2o240b3o$4b2o4bo10bo2bobo3bo3bo2bo
154b3o14b2ob2o2b2o101b2o6b2o115b2o13b2o63bo607bo6b2o2b2o47b4o4b2o403b
3o2b2o$10b2o9bo3bo9bo173bo109bo8bo115b2o13bo64b2o87bo81b2obo4bob2o20b
2o402bo3b2obo6b2obo42b2o2b2o4b3o160b2o238bo7bo$4b2o2b2o12bo9bo3bo179b
2o102bo6bo40b2o14b2o74bo150b3o81bob2o4b2obo10b2o8b2o402b2o2bob2o6bob2o
41b3ob2o7bo401bo3bo$5bo3bo10bo2bo3bo3bobo2bo172b2o5b2o101b2o6b2o107b2o
2b2o2b2o13b2o125bo23bo82b2o12b2o9bo117bob2o4bob2o342bo12bo373b2ob2o29b
2ob2o8bobo$4bo3bo11bo3b3o5bo3bo172b2o104b2obo6b2o42bo14bo51b2o2b2o2b2o
95bob2o4b2obo33b3o16b2o3b2o81bo14bo9bobo12b2o101b2obo4b2obo44bo295b3o
14bo372bobo24b2ob4o12b2o70bo65bo$4b2o2b2o19bo5bo181bo97bob2o7bo38bo2b
3o12b3o2bo152b2obo4bob2o36bo104bo12bo11b2o11bobo105b2o6b2o41bobo311bo
372bobo24b2o2b3o3b2o73bo4bobo18bo25bo18bobo4bo$30bo178b2o2b2ob2o101b2o
4bo39bob2ob2o10b2ob2obo150b2o12b2o33b2o4b3o5b3o88b2o12b2o22bob2o106bo
7bo7bo33bobo292b2o389b2ob2o24bo2b3o78b3o2bobo17b2o25b2o17bobo2b3o$31bo
3bo174b2ob2obo102bo5b2o41b3o12b3o154bo12bo39bo2b2o3b2o2bo89b2obo6b2o
24bob2o105bo7bo7bobo33bo685bobo26b4o82bobob2o15bo2bo23bo2bo15b2obobo$
35bo284bo2b2o44bo14bo154bo14bo6b2o2b2o2b2o25bo5bo92bob2o7bo24bo2bo2bo
102b2o6b2o6bobo719bobo19b3o5b2o80b3o2bo4bo12b2o29b2o12bo4bo2b3o$34bo
284b2o3bo214b2o12b2o6b2o2b2o2b2o23bo9bo88b2o4b2o4bo26bo2bo102b2o6b2o6b
2o3b2o26b2o7b2o679b2ob2o17bo2bo26bo60bo2bob3o15b2o29b2o15b3obo2bo$35b
3o277b2obo4bo45bo14bo156bob2o4b2obo40bo2bo4bo2bo88bo5bo5b2o19bobo3bo2b
o103bo7bo5bo7bo24bo2bo5bo2bo699bo29b3o62b2o6bo12bo29bo12bo6b2o$37bo
277bob2o4b2o43b3o12b3o155b2obo4bob2o39b2o5b2o5b2o86bo5bo2b2o21bo2bo3bo
bo102bo7bo7b2o3b2o26b2o7b2o698bo2bo2bo25b2ob2o53b2o2bo2bo3bo3bo10bo33b
o10bo3bo3bo2bo2b2o$365bob2ob2o10b2ob2obo156b2o6b2o14b2o24bo2bo4bo2bo
86b2o4b2o3bo21bo2bo108b2o6b2o8bobo26bo16bo693bo3b3o6bo20b3o53bo2bobobo
bobo13bo4bo25bo4bo13bobobobobo2bo$365bo2b3o12b3o2bo157bo6bo15b2o24bo9b
o89b2obo4bo20bo2bo2bo105b2o6b2o10bobo26bo6bo8bobo703bob2o76b2ob2ob4o3b
o10bo4bo25bo4bo10bo3b4ob2ob2o$369bo14bo160bo8bo42bo5bo91bob2o4b2o22b2o
bo106bo7bo11bo33bobo7bobo702bo2bo82bo4b2o12b2ob2o27b2ob2o12b2o4bo$545b
2o6b2o39bo2b2o3b2o2bo120b2obo105bo7bo46bobo8bo6bo697b4o76b4obob2obo16b
2o27b2o16bob2obob4o$368b2o14b2o155bob2o4b2obo12b2o28b3o5b3o4b2o115bobo
11b2o93b2o6b2o46bo16bo697b3o2bo74bo2bobobo2bo28bo5bo28bo2bobobo2bo$
541b2obo4bob2o12b2o43bo116b2o12bobo153b2o7b2o699b2o4bo77bo3b2o23b2o5b
2ob2o5b2o23b2o3bo$32b2o6b2o164b2o5b2o373b2o3b2o16b3o129bo152bo2bo5bo2b
o698b2o3b2o104b2o7bo3bo7b2o$32b2o6b2o164b2o5b2o211b2o3b2o4b2obo148bo
23bo119b2o8b2o152b2o7b2o699b3o2b2o104b2o3b4o5b4o3b2o$60b2o364b2o3b2o4b
ob2o29bo115b3o144b2o872b2obobo111b2o7b2o$b2o2bob2o51b2o53b2o318b2o149b
o315bo708bo107bo2bo13bo2bo$2bo2b2obo81b2o334b2o3b2o2bo13bo18b2o431bobo
297bo157b3o245b4o108b3o15b3o$bo7b2o103bo311bobobobo3bo11bobo16bobo431b
obo296bobo155bo3bo245bo$b2o7bo7bo13b2o6b2o15bo31bo23bobo3b2o32b2obo4b
2o3b2o38b3o3b3o213bobo4b2o11bobo16b2o433bo295bo2bobo100b2o4b2obo6b2obo
34bo3bo245bo111bo17bo$9bo7bobo9bobo2bo4bo2bobo12bo2b2o26bobo3b2o17bobo
3bo33bob2o4b2o3b2o38bo7bo212b2obo6b2obo5b2o3b2o12b2o8bo721bob2o2b3o99b
o4bob2o6bob2o32b2ob3ob2o$b2o6b2o6bobo9bo2b2o6b2o2bo14bo2bo25bobo3b2o
18bo7bo34b2o46bo2bo3bo2bo215b2o4bob2o4bo7bo10bobo5b2o719b2o2bo3b2o3bo
97bo3b2o4b2o2b2o4b2o29bobo5bobo$2bo4b2o6b2o3b2o38b2o27bo31b2o34bo3b2o
3b2o36b2ob2o3b2ob2o8bo206bo2b2o4b2o3b2o3b2o11b2o5bobo719b2o3b3o2b3o98b
2o2bo5bo3bo5bo30bo9bo$bo6bo5bo7bo135bo2bobobobo7bo8b2o2b2o2b2o11bobo5b
obo215bo3bo5bo6bobo11bo8b2o112bo615bobo105bo5bo3bo5bo29b2obo3bob2o$b2o
4bo7b2o3b2o86b2o47b2o4bobo8bobo7b2o2b2o2b2o12bo7bo10b3o3b3o197b2o3bo5b
o5bobo18b2o729bobo101b2o2b2o4b2o2b2o4b2o31b2o3b2o3bo$7b2o8bobo63b2o22b
o2bo14bo27b2obo5b2obo8bobo255bo2b2o4b2o6bo18bobo115b3o612bo103bo4b2obo
6b2obo$b2o2b2o10bobo62bo2bo19bo2b2o11b2o2bo27bob2o9b2o4b2o3b2o27b2o5b
2o8bo4bobo4bo136bo58bo5b2obo27b2o114b2o26bo691bo5bob2o6bob2o$2bo3bo11b
o10bo2b2o6b2o2bo19b2o14bo2b2o20bo14bo2bo27b2o14bo3bo7bo12b2o12b2o5b2o
8bo4bobo4bo134b3o58b2o4bob2o150bo20b3o689b2o2b2o4b2o2b2o4b2o$bo3bo23bo
bo2bo4bo2bobo18bo2bo13bo40b2o28bo14bo5b2o3b2o13b2o29bo4bobo4bo133bo97b
o115bobobo3bo23bo692bo5bo3bo5bo16bo3b2o3b2o$b2o2b2o25b2o6b2o22b2o2bo
83bo13b2o6bobo48b3o3b3o135b2o211b2obo28b2o20b2o7b2o657b2o3bo5bo3bo5bo
17b2obo3bob2o$68bo39b2o41b2o14bo6bobo189bo146b2o3b2o63bobobo57bo483b2o
2b2o3b2o4b2obo157bo2b2o4b2o2b2o4b2o17bo9bo$83b2o23bo7bo36b2obo9bo8bo
12b2o35b3o3b3o123b2o6bobo145b2o3b2o51b2o10b2o43b5o3b5o2bobo484bo2b2o3b
2o4bob2o52b2ob2o99bo5b2obo6b2obo19bobo5bobo$83b2o26bo3bobo35bob2o9b2o
20b2o33bo4bobo4bo8b2o5b2o104b2o6b2o156b2o16bob2o3b2o3b2o25bo33b2o2b2o
7b2o10b2o2b2o116bo367bo12b2o4b2o51bob2o4b2o93b2o4bob2o6bob2o20b2ob3ob
2o$64b2o44b2o3bobo105bo4bobo4bo8b2o5b2o116b2o151bo2bo2b2o11b2obo3b2o3b
2o25bo3bo29b3o3bo9bob2ob2ob2o99bo389b2o2b2o3b2o2bo5bo51bobo6b2o135bo3b
o$32b2o6b2o22b2o50bo106bo4bobo4bo129bo4bo142b3o7bobo2b2o9b2o28bo14bo
29bob2o2bo4bobo2bobobobobo100b3o18b3o370bobobobo3bo5bo49b3o6bo2bo134bo
3bo$32b2o6b2o202bo7bo111bo2b2obo141bo2bo3b2o3b2o14bo7b2o3b2o14bo2bobo
4bo6b2o24bobo5bo4bobo4bobobo3bo101bo18bo367b2o4bobo4b2o4b2o49bobo7b2o
136b3o$114b2o109b3o3b3o9bobo5bobo110bo5bo141bobo4b2o18bo8bobobobo14bo
9bo9b2o21bobob5o5b2obo2bobobo3bo100b2o16b2ob2o10b2o354bo3b2obo4bo5bo
51b3o6b2o$242b2ob2o3b2ob2o109b5obo3b2o137bo25b2o9bobo14bo2bob3o41bo3bo
b2o6b10o119b2ob2o10bo354bo8b2o3bo5bo51b3o$233bo9bo2bo3bo2bo107b2obo3bo
5b2o152b2o11bob2o4b2obo17bo4bob2o14bo23b4ob3o125b3o6bo12bobo354b2o8bo
2b2o4b2o51bo2bo6bo$244bo7bo107b3ob4o16b2o129b2o6b2o3b2o11b2obo8b2o17b
4o15b4o21bo3bob2o9b3o60b2obo4bob2o43bo7bobo2bo7b2o114bo249bo3bo5bo53b
2o$244b3o3b3o108b2obo3bo15b2o124b2o3b2o6b2o20b2o7bo18bo14b2obo4bo17bob
5o12b3o60bob2o4b2obo41b2ob2o3b2o4b2o121b3o240b2o7b2o3bo5bo52b2o377b2o$
355b2o7b5obo139b2o34bo6bo38b3obo2bo14bo5bo13bo59b2o12b2o39b2ob2o3bo2bo
bo122bo244bo8bo2b2o4b2o431b2o$355b2o13bo6bo148bo18bo7b2o21b2o9bo9bo16b
ob2o2bo16b2o55bo14bo39bo12bo122b2o242bo8bo5b2obo$367b2o2bo4b3o66bo73b
2o4bobo17b2o7bo24b2o6bo4bobo2bo16bo4bo16bo58bo12bo9b2o2b2o2b2o21bobo2b
o3b2ob2o200bo165b2o7b2o4bob2o$344b2o17b2o3b4o4b3o135b2o3b2o3bo2bo13bob
2o8bo28bo14bo16b2o20b3obo53b2o12b2o8b2o2b2o2b2o19b2o4b2o3b2ob2o198b3o$
244b2o5b2o92bo15b2o9bo71b3o63b2o2bobo7b3o14b2obo8b2o27bo3bo28bob3o20b
2o54b2obo6b2o30b2o7bo2bobo7bo199bo$244b2o5b2o62b2obo4bob2o18bobo3b5o3b
2obob2o4bobo2b7o62bo2bo62b2o2bo2bo68bo32bo16bo4bo54bob2o7bo29bobo12bo
6b3o198b2o$315bob2o4b2obo19b2o3bo10bo3bo3bo4bobobo2bob2o57bo2b2o67b2o
65b2o10b2o21b2o16bo2b2obo52b2o4b2o4bo19b2o9bo10b2ob2o131b2o314bo$319b
2o6b2o24bob2ob2ob2o6bo5bobobo4bobo22b2o3b2o4b2obo19b2o3b2o4b2o3b2o59b
2o3b2o52bobobo37bo13bo5bo52bo5bo5b2o18b2o8b2o10b2ob2o16b2o111bob2o313b
obo$32bo2bo283bo8bo20bo3bobobobobo11bobobobobo3bo23b2o3b2o4bob2o23bo2b
ob2obo3bob2o57b2o3b2o54bob2o35b3o12b5obo53bo5bo2b2o44bo18bo111bo4bo
311bobo380bo$30b8o282bo6bo3b2o2b2o2b2o7bobo4bobobo5bo6b2ob2ob2obo36b2o
4b2o21bo2bobo9bobo110bo3bobobo36b3o9b2obo3bo54b2o4b2o3bo43b3o18b3o65bo
b2o6b2obo25b2o3b5o309b3o2b3o3b2o$32b4o283b2o6b2o2b2o2b2o2b2o8b2obo2bob
obo4bo3bo3bo10bo3b2o20b2o3b2o2bo5bo22bo2bobobo5bobo112bo55b3ob4o57b2ob
o4bo17b2o48bo65b2obo6bob2o23bob2o4b3o9bo299bo3b2o3bo2b2o373b3o$315b2ob
o6b2o26b7o2bobo4b2obob2o3b5o3bobo19bobobobo3bo5bo17b2o3b2o3b2ob3ob2o
14bo35bo68b2o33b10o6b2obo3bo56bob2o4b2o16b2o26bo91b2o2b2o4b2o21bo19bo
60bo239b3o2b2obo376b2o2bo$315bob2o7bo35bo9b2o15bo21bobo4b2o4b2o17bo2b
2o7bo3bo51b3o64b3o34bo3bobobo2bob2o5b5obobo199bo2bo5bo27b3o72b3o240bob
o2bo327b2obo6b2obo6b2obo24b2o2b3o$32bo228b2o56b2o4bo13b2o15b3o4b4o3b2o
17b2o19b2obo6b2obo20bo2bo7bo3bo15b3o32b5o100bo3bobobo4bobo4bo5bobo198b
o4bo5bo25bo2bo8b2o61bo2b2o240bobo329bob2o6bob2o6bob2o12b2o9bo4b3o$31bo
bo223b2o2bo57bo5b2o12b2o15b3o4bo2b2o46b2o4bob2o20b3o9b3o16b3o31bo5bo
65bo35bobobobobo2bobo4bo2b2obo200b2o2b2o4b2o29bo5bob2o53bo6b2o245bo
334b2o2b2o4b2o2b2o4b2o10b2o9bo2b3o$30bo3bo221bo2bobo58bo2b2o32bo6bo13b
2o35bo2b2o4b2o53bo4b2o22b2o2bo2b2o2bo96b2ob2ob2obo9bo3b3o198b2o6b2obo
25bo3b2obo5b2o39b2o12bobo5bobo2b2o575bo3bo5bo3bo5bo22b2o4bo$28bo2bobo
152bo15bo49b2obob3ob2o56b2o3bo39bob5o7b2o34bo3bo5bo19b3o9b3o19b3o3b2ob
o19b3obobob3obo91b2o2b2o10b2o7b2o2b2o199bo6bob2o25bobo3bob2o17b2o26bo
11bo2b2o5b2ob2obo2bo572bo3bo5bo3bo5bo23bo3bo$2b2o4b2obo16bo3bo152bobo
13bobo48bob2obobobo53b2obo4bo11b2o12b2o15bo3bob2o40b2o3bo5bo17bo3bo7bo
2bo18b5o2b2o22b2o2bo2b2o93bobo2b5o3b5o212bo11b2o30b2obo14bo29bobo9bo2b
o7bo5bobo571b2o2b2o4b2o2b2o4b2o24b2obo$3bo4bob2o174bo15bo60bo51bob2o4b
2o10b2o12b2o16b4ob3o40bo2b2o4b2o17bo3bo7b2o2bo16b2o3b2o32bo24bob2o6bob
2o56bo229b2o10bo80b2o8b2o15bo570b2obo4bo5bo3bo5bo$2bo3b2o4b2o239b4obob
3obo94b2o5bo3bob2o40bo5b2obo17b2ob3ob2o3b2o3b2o15b3o3b3o56b2obo6b2obo
55b2o7b2o20b2o196b2o13bo90b2o10bo3bo570bob2o5bo5bo3bo5bo$2b2o2bo5bo
171b5o11b5o47bo3b2ob2o3bo94b2o3bob5o43b2o4bob2o16bobo5bobobo2bo20b2o3b
2o55b2o8b2o90bo198bo12b2o34bo14bob2o49bobo576b2o2b2o4b2o2b2o4b2o$7bo5b
o169bo4bo11bo4bo47b3ob3ob3o100bo5bo67bobo9bobo2bo17b2o2b5o16b2o3b2o34b
o9bo43bo4b2o41b3o194bo9b2obo33b2o17b2obo3bobo621bo3bo5bo3bo5bo21b2o$2b
2o2b2o4b2o168bo2bo17bo2bo48bo5bo102bob2o2bo69b2obo3bob2obo2bo15bob2o3b
3o17b2o3b2o3bo29bo9bo49bo44bo194b2o8bob2o47b2o5bob2o3bo25bobo252b2o14b
2o324bo3bo5bo3bo5bo20b2o$3bo4b2obo21bo3bo141bo2bob3o15b3obo2bo154bo4bo
72b2o3b2o4b2o3b2o13b2o4bo27bobo28b2o8b2o41b2o3bobo299b2obo5bo29bo3bo
10b2o241bo14bo324b2o2b2o4b2o2b2o4b2o$2bo5bob2o20bobo2bo140bobobo2b4o
11b4o2bobobo45bo3bo103b2o89b2o2bo21b3o17b3ob4o4b2o25bob2o6bob2o33b2o2b
2o3b2o300b2o8bo2bo25bo15b2o8b2o230bobo10bobo320b2obo6b2obo6b2obo49b2o$
2b2o2b2o4b2o17bo3bo143bo2bo3bo2bo9bo2bo3bo2bo48bo109b2o6b2o77bo2bo22b
3o17b4o8b2o25b2obo6b2obo35bo162bo4bo28bobo119b3o23bobo5bo7bo2bo9bobo
230b2o10b2o92b2o5b2obo6b2obo208bob2o6bob2o6bob2o49b2o$6bo5bo19bobo147b
2o2bobo11bobo2b2o12bo15bo131bobo6b2o78b3o38bo2bo6bobo34b2o8b2o23bo7b3o
138b2o4b2o16bo4bo26b3ob3o104bo19bo18bo2bob2ob2o5b2o2bo11bo337bo5bob2o
6bob2o$2b2o3bo5bo19bo118b2obo6bob2o21bo13bo17b3o11b3o17b2o113bo113bo
13bobo3bo2bobo2b2o33bo9bo22bo9b2o138b2o4b2o16bo4bo25bo7bo103bo9b3o4b2o
bo22b2o2bobo5bobo12b2o335bo4b2o4b2o2b2o4b2o24b2o24b2o$3bo2b2o4b2o138bo
b2o6b2obo56bo9bo21b2o108b2o91bo39b2ob2o6bob2o32bo9bo33bo2bo191b2o5b2o
112b5o3b2o29b2o6bo248b2o100b2o3bo5bo3bo5bo25b2o24b2o$2bo5b2obo144b2o2b
2o59b2o9b2o19b2o6b3o2bo98bo132bo11b2ob2o29b2o8b2o193b2o8b2o143bo4bo29b
2o2bo250bo4b2obo105bo5bo3bo5bo31b2o3b2o235bob2o$2b2o4bob2o18b4o122bo4b
o92bo6bo2bobo95b3o3bo2bo126bo2bo8bo2b2o25bob2o6bob2o23bo2bo166bob3o6b
3obo142b2obo31b3o186b2o2b2o3b2o3b2obo47bo4bo2bo99b2o3b2o4b2o2b2o4b2o
30bobo3bobo234bo3bo$28b8o121bo2bo26bo2bo7bo2bo22bo5bo20bo2bo7b2o98bo
132b2o2bo8bo2bo28b2obo6b2obo25b2o9bo136b3o4b3o10bo4bo4bo4bo142b2o34bo
188bo2b2o3b2o3bob2o49bo2b2o102bo5b2obo4bo5bo28bob2o7bo2bo231bo4b2o$30b
o2bo122b2o2b2o23bobob2o7b2obobo20bo5bo20bobo113bo3bo4bo118b2ob2o11bo
67b3o7bo136bo2bo4bo2bo11b3o6b3o368bo17b2o47b3ob2o100bo6bob2o5bo5bo27bo
2b2o5b2ob3o231b3o2bo9b2o$152b2obo6bob2o19bo2b3o7b3o2bo19bobo3bobo19b3o
2b3o105bo3b3o5bo121b2obo6b2ob2o66bo146bob2o4b2obo11bo10bo9bo2b2obobo2b
o3b2ob2o3bo2bobob2o2bo324b2o2b2o3b2o7bo49b2o2b3o98b2o9b2o2b2o4b2o31bo
5bob5o228b3o4bo9b2o$152bob2o6b2obo55bo2bo5bo2bo22bobo107b2o8bo121b2o2b
obo2bo3bobo57b2o3b2o2b2o142bo2bo8bo2bo32bobo3bo2bo3b2ob2o3bo2bo3bobo
330bobobobo8bo52bo2bo108bo3bo5bo33b5obo5bo227b3o2b2o$150b2o14b2o53bo2b
o5bo2bo12b2o7bo2bo107b2o132bobo6bo2bo57bobo3b2o117b2obo6b2obo15bo14bo
32bobob2o19b2obobo326b2o4bobo9b2o54bo98b2o10bo3bo5bo33b3ob2o5b2o2bo
223bo2b2o$150bo16bo75bobo2bo6bo110bo2bo4b2o119b2o8b4o61bo124bob2o6bob
2o195b2o224bo3b2obo5b2obo50b2o4b2o98bo9b2o2b2o4b2o34bo2bo7b2obo224b3o$
151bo14bo54bo2bo5bo2bo9bo2b3o6b2o110bo2bo2bo2bo118b2o4b4ob3o60b2o4bo
117b2o8b2o4b2o67bo6b2ob2o6bo108bo30b2o191bo8b2o3bob2o51bo103bo6b2obo6b
2obo39bobo3bobo$150b2o14b2o17bo2b3o7b3o2bo17bo2bo5bo2bo20b2o112b2o4bo
2bo103b3o16bobo190bo9bo5bo75b2ob2o112b3o32bo191b2o8bo7b2o48bo2bo101b2o
5bob2o6bob2o40b2o3b2o231bo$152b2obo6bob2o19bobob2o7b2obobo19bobo3bobo
23b2o119b2o105bo17bo3b2o3b2o182bo9bo5bo191bo31b3o201bo8bo50b3o2b2o144b
2o24b2o$27bo17bo106bob2o6b2obo21bo2bo7bo2bo22bo5bo136bo8b2o104bo22b2o
3b2o181b2o8b2o4b2o74b2ob2o144bo194b2o7b2o8bo51b2ob3o143b2o24b2o$27b3o
13b3o178bo5bo20bo115bo5b3o3bo315b2obo6b2obo69bo6b2ob2o6bo333bo8bo7b2o
52b2o2bo$30bo11bo206bo3bo113bo4bo3bo109b2o207bob2o6bob2o15bo14bo389bo
8bo4b2obo52bo2bo4bo$29bo13bo177b2o9b2o147bo44b2o3b2o4b2obo45bo206b2o4b
2o2b2o4b2o13bo2bo8bo2bo32bobob2o19b2obobo326b2o7b2o3bob2o52bob2o4bo$
29bo3bo5bo3bo143bo13bo20bo9bo15bo5bo117bo2bo3b3o44b2o3b2o4bob2o43bobo
206bo5bo3bo5bo16bob2o4b2obo34bobo3bo2bo3b2ob2o3bo2bo3bobo397b2o$34bo3b
o143b2o2bobo11bobo2b2o12b3o11b3o10b3ob3ob3o121bo56b2o4b2o4b2o2b2o2b2o
27b2o208bo5bo3bo5bo15bo2bo4bo2bo11bo10bo9bo2b2obobo2bo3b2ob2o3bo2bobob
2o2bo$29bo5bobo5bo19b2o114bo2bo3bo2bo9bo2bo3bo2bo9bo15bo9bo3b2ob2o3bo
120b2o46b2o3b2o2bo5bo5b2o2b2o2b2o236b2o4b2o2b2o4b2o16b3o4b3o12b3o6b3o
839b2o$26bobo3bo7bo3bobo16b2o113bobobo2b4o11b4o2bobobo34bob3obob4o118b
o50bobobobo3bo5bo26b2o6b2o216b2obo6b2obo38bo4bo4bo4bo429b2o10b2o394b2o
$2o4b2obo18bo2bobo5bobo2bo134bo2bob3o15b3obo2bo36bo119b2o6bobo51bobo4b
2o4b2o26b2o7bo216bob2o6bob2o38bob3o6b3obo428bobo10bobo$bo4bob2o18bo3bo
7bo3bo137bo2bo17bo2bo41bobobob2obo108b2o6b2o51b2obo6b2obo14b2o20b2o
270b2o8b2o430bo14bo$o3b2o4b2o17bo5bobo5bo18bo120bo4bo11bo4bo41b2ob3obo
b2o120b2o51b2o4bob2o14b2o21bo5bo243b2o4b2o47b2o5b2o398b2o14b2o$2o2bo5b
o19bo3bo3bo3bo20b2obo117b5o11b5o43bobo2bo120bo4bo52bo2b2o4b2o34b3obobo
5bob2o3bo231b2o4b2o16bo4bo25bo7bo$5bo5bo19b3o5b3o19bobo2bo181bo2b2o
120bo2b2obo51bo3bo5bo35b2ob3o6b3ob2o257bo4bo26b3ob3o$2o2b2o4b2o46bo3bo
123bo15bo44b2o124bo5bo51b2o3bo5bo8b2o22bo3b2obo5bobob3o257bo4bo28bobo$
bo4b2obo44bo2bobo125bobo13bobo169b5obo3b2o47bo2b2o4b2o8b2o34bo5bo$o5bo
b2o44bob2o128bo15bo167b2obo3bo5b2o46bo5b2obo52b2o$2o8b2o46bo310b3ob4o
16b2o36b2o4bob2o52bo7b2o74b2o13b2o$10bo20b3o5b3o328b2obo3bo15b2o98b2o
6b2o70b2obo2bo3b2ob2o3bo2bob2o14bo571b2o28b2o$2o9bo18bo3bo3bo3bo199bo
121b2o7b5obo194bob3obo2b2ob2o2bob3obo39b2o13b2o$bo8b2o17bo5bobo5bo12b
2o182b5o119b2o13bo6bo99b2o83b3o6bo9bo6b3o13b3o16b2obo2bo3b2ob2o3bo2bob
2o529bo26bo$o5b2obo18bo3bo7bo3bo11b2o181bo5bo130b2o2bo4b3o97bobo52bob
2o6b2obo17bo2b3ob2ob9ob6o2bo13bobo17bob3obo2b2ob2o2bob3obo530bob2o20b
2obo155bobo$2o4bob2o18bo2bobo5bobo2bo194bo2b3o10b2o96b2o17b2o3b4o4b3o
97bo54b2obo6bob2o12bo7bo2bobobo7bo7bo15bo2bo13b3o6bo9bo6b3o526bobobob
3o12b3obobobo152b3ob3o$26bobo3bo7bo3bobo191b2obo13bo98bo15b2o9bo102b2o
52b2o8b2o15bo9bo2b3o3b3o4b3o2b2o8bo7bobo13bo2b6ob9ob2ob3o2bo526b3o24b
3o151bo7bo$29bo5bobo5bo193bo3b3o9bobo98bobo3b5o3b2obob2o4bobo2b7o148bo
8bo15bo10bo2bo3bo3bo5b4o6b2o3bo6b3o15bo7bo7bobobo2bo7bo521bo7b2o10b2o
7bo151b2o5b2o$34bo3bo199bobo3bo8b2o100b2o3bo10bo3bo3bo4bobobo2bob2o94b
o48bo10bo15bo5bo2b5o6bo11bo5bo3bo15bo8b2o2b3o4b3o3b3o2bo9bo520b5ob2ob
2o8b2ob2ob5o$29bo3bo5bo3bo175b2o16b2ob3o2bo4bo10b2o99bob2ob2ob2o6bo5bo
bobo4bobo92bo49b2o8b2o16b4o3bobobo3bo3bo11b2ob2obo3bo14bo3b2o6b4o5bo3b
o3bo2bo10bo510bo14bo2bo10bo2bo14bo$29bo13bo110b2obo6b2obo77bo4bo26bo
80bo3bobobobobo11bobobobobo3bo93b3o49bob2o6b2obo12b4o3bobobo3bo3bo11b
2ob2obo3bo14bo3bo5bo11bo6b5o2bo5bo511bo3b4o32b4o3bo$30bo11bo111bob2o6b
ob2o27bo23bo17b2ob3o2bo4bo12bo11b5o77bobo4bobobo5bo6b2ob2ob2obo149b2ob
o6bob2o11bo5bo2b5o6bo11bo5bo3bo14bo3bob2ob2o11bo3bo3bobobo3b4o514b2obo
bo6bo5bobo2bobo5bo6bobob2o$27b3o13b3o112b2o2b2o27bo2b3o18bo2b3o17bobo
3bo17bobo9bo5bo77b2obo2bobobo4bo3bo3bo10bo3b2o146b2o2b2o4b2o8bo10bo2bo
3bo3bo5b4o6b2o3bo14bo3bob2ob2o11bo3bo3bobobo3b4o516b2obo6bo2b5o4b5o2bo
6bob2o$27bo17bo112bo3bo28bob2ob2o17bob2ob2o15bo3b3o12bo4bo3bo9b3o2bo
81b7o2bobo4b2obob2o3b5o3bobo146bo2bo5bo10bo9bo2b3o3b3o4b3o2b2o8bo15bo
3bo5bo11bo6b5o2bo5bo514bo3bo32bo3bo$159bo3bo30b3o21b3o17b2obo13bobo4bo
bo13bob2o89bo9b2o15bo145bo4bo5bo10bo7bo2bobobo7bo7bo15b3o6bo3b2o6b4o5b
o3bo3bo2bo10bo513b2o2bo32bo2b2o141b3o11b3o223b2o$158b2o2b2o31bo4bo18bo
5bo13bo2b3o9bo3bo4bo12b3o3bo82b3o4b4o3b2o17b2o144b2o2b2o4b2o15bo2b3ob
2ob9ob6o2bo13bobo7bo8b2o2b3o4b3o3b3o2bo9bo521b2o24b2o146bo4bo9bo4bo
221bobo$154b2obo6b2obo31b3o22b3o12bo5bo9bobo17bo3bobo83b3o4bo2b2o163bo
b2o6b2obo17b3o6bo9bo6b3o13bo2bo15bo7bo7bobobo2bo7bo461b2o2b2o3b2o2b2o
3b2o35bo2b2o30b2o2bo136bo2bo6bo7bo6bo2bo218b2o$154bob2o6bob2o30b2ob2ob
o18b2ob2obo10b5o11bo12bo4bo2b3ob2o83bo6bo13b2o151b2obo6bob2o20bob3obo
2b2ob2o2bob3obo17bobo13bo2b6ob9ob2ob3o2bo467bo2b2o3b2o2b2o3b2o35bo2bo
32bo2bo136bobo7bo7bo7bobo$152b2o8b2o4b2o29b3o2bo19b3o2bo12bo26bo4bo98b
ob5o7b2o184b2obo2bo3b2ob2o3bo2bob2o16b3o13b3o6bo9bo6b3o62bo403bo54bobo
4bo24bo4bobo145bo9bo$152bo9bo5bo31bo24bo31b2o10bo4bo2b3ob2o75b2o15bo3b
ob2o194b2o13b2o39bob3obo2b2ob2o2bob3obo65b3o401b2o2b2o3b2o2b2o3b2o37b
3o2bo24bo2b3o140bo2b4o11b4o2bo$153bo9bo5bo95b2o8bo3bobo76b2o16b4ob3o
233bo14b2obo2bo3b2ob2o3bo2bob2o40b2obo5b2obo14bo12bo391bobobobo2bobobo
bo38bo3bo24bo3bo142b4o15b4o208b2o$152b2o8b2o4b2o54b2o38bobo9b3o3bo85b
2o5bo3bob2o253b2o13b2o44bob2o5bob2o13b2o12bo387b2o4bobo6bobo43b2o24b2o
89b2o5b2obo5bob2o$154b2obo6b2obo96bo13bob2o86b2o3bob5o315b2o7b2o4b2o
25b2o2bo384bo3b2obo5b2obo44bo24bo91bo5bob2o5b2obo268bo$154bob2o6bob2o
95b2o10b3o2bo92bo5bo41b2o3b2o4b2obo20b3o11b3o222bo8bo5bo23b2obobobo
383bo8b2o7b2o41bo26bo89bo4b2o4b2o7b2o265b3o$274bo5bo92bob2o2bo41b2o3b
2o4bob2o19bo3bo9bo3bo222bo8bo5bo20bobo2b3o385b2o8bo8bo158b2o3bo5bo9bo
264b5o$193b2o80b5o93bo4bo51b2o4b2o16bo5bo7bo5bo220b2o7b2o4b2o19bo2b2ob
2o395bo8bo165bo5bo7bo265b3obo$193bobo2b2o77bo95b2o46b2o3b2o2bo5bo16bo
3bo3bo5bo3bo3bo221b2obo5b2obo415b2o7b2o7b2o41bo26bo89b2o3b2o4b2o7b2o
265b2ob2o$190bo4bo3bo177b2o6b2o34bobobobo3bo5bo15bo2bobo2bo5bo2bobo2bo
221bob2o5bob2o20b3o13b2o378bo8bo8bo42bo24bo91bo5b2obo7b2o268bo$190b5ob
3o177bobo6b2o36bobo4b2o4b2o13bobo3bo3bo5bo3bo3bobo217b2o4b2o7b2o8b2o9b
o4bo9b2o377bo8bo8bo42b2o24b2o89bo6bob2o8bo269b2o$196bo7b2o171bo44b2obo
6b2obo15bo2bo5bo7bo5bo2bo217bo5bo8bo9b2o13b3o387b2o7b2o7b2o38bo3bo24bo
3bo86b2o9b2o5bo257b2o11bobo$190b5obo7bo168b2o51b2o4bob2o19bo3bo9bo3bo
143b2ob2o74bo5bo8bo470b3o2bo24bo2b3o96bo6b2o216b2o3b2o2b2o4b2obo20bobo
12b3o$153b2obo6b2obo22bo2bo2bo6bobo169bo52bo8b2o179b2ob2o73b2o4b2o7b2o
17b2ob2o2bo443bobo4bo24bo4bobo83b2o10bo3b2o218b2o3b2o3bo4bob2o20b2o13b
3o$153bob2o6bob2o22b2o11b2o167b3o52bo9bo18bo3bo9bo3bo223b2obo5b2obo18b
3o2bobo444bo2bo32bo2bo84bo9b2o4bo227bo3b2o4b2o$157b2o2b2o4b2o202bo54b
2o9bo13bo2bo5bo7bo5bo2bo137b7o75bob2o5bob2o16bobobob2o446bo2b2o30b2o2b
o83bo6b2obo5bo219b2o3b2o2b2o2bo5bo$157bo3bo5bo259bo8b2o13bobo3bo3bo5bo
3bo3bobo137bo6bo103bo2b2o455b2o24b2o89b2o5bob2o5b2o38b4o15b4o157bobobo
bo7bo5bo$158bo3bo5bo19bo7bo229bo5b2obo17bo2bobo2bo5bo2bobo2bo141b2obob
o107bo12b2o434b2o2bo32bo2b2o137bo2b4o11b4o2bo158bobo4b2o2b2o4b2o$157b
2o2b2o4b2o19bo9bo227b2o4bob2o17bo3bo3bo5bo3bo3bo140b2ob2obobo105bo12bo
435bo3bo32bo3bo144bo9bo164b2obo5bo4b2obo$153b2obo6b2obo23b2o5b2o255bo
5bo7bo5bo67bob2o6b2obo65bob2o119b3o433b2obo6bo2b5o4b5o2bo6bob2o136bobo
7bo7bo7bobo159b2o2bo5bob2o$153bob2o6bob2o23bo9bo254bo3bo9bo3bo68b2obo
6bob2o54b2o9bo124bo431b2obobo6bo5bobo2bobo5bo6bobob2o134bo2bo6bo7bo6bo
2bo160bo2b2o2b2o4b2o42b3o13b2o$151b2o8b2o4b2o23bo7bo255b3o11b3o67b2o8b
2o68b2o554bo3b4o32b4o3bo136bo4bo9bo4bo163bo7bo5bo43b3o12bobo$151bo9bo
5bo373bo8bo15bo41b2o566bo14bo2bo10bo2bo14bo138b3o11b3o165b2o2b2o3bo5bo
43bobo11b2o$152bo9bo5bo371bo10bo13bobo39bo2bo574b5ob2ob2o8b2ob2ob5o
330bo3bo2b2o4b2o44b2o$151b2o8b2o4b2o16b2o11b2o340b2o8b2o13bobo20b2o5b
2o11b2o5b2o568bo7b2o10b2o7bo329bo3bo5b2obo48bo$153b2obo6b2obo17bobo6bo
2bo2bo342bob2o6b2obo7b2o3b2o24bo2bo587b3o24b3o329b2o2b2o4bob2o45b2ob2o
$153bob2o6bob2o17bo7bob5o343b2obo6bob2o6bo7bo24b2o588bobobob3o12b3obob
obo389bob3o$183b2o7bo353b2o2b2o4b2o5b2o3b2o13b2o601bob2o20b2obo390b5o$
190b3ob5o348bo2bo5bo8bobo15bo9b2o591bo26bo391b3o$189bo3bo4bo347bo4bo5b
o7bobo12b2obo782b2o5b2o231bo$189b2o2bobo350b2o2b2o4b2o8bo13bobob2ob2o
595b2o28b2o150bo7bo$194b2o346bob2o6b2obo26bobob2o779b3ob3o232b2o$542b
2obo6bob2o26bo6bo779bobo$583b7o2$189bo393b2ob2o1005b2o$189b3o4b2o385b
2ob2o1005bobo$192bo3b2o985b2o7b2o400b2o$191b2o1024b2o7b2o$154b2obo6b2o
bo1016bo7bo$154bob2o6bob2o1014bo2bo5bo2bo21bo2bo5bo2bo$158b2o2b2o4b2o
31b3o3bo974b3obo3bob3o20b2obobo3bobob2o$158bo3bo5bo28b4o4bobo367bo606b
o3bo3bo3bo21bo2bo5bo2bo$159bo3bo5bo25bo9bo369b3o$158b2o2b2o4b2o25bo9bo
372bo607bo3bo$154b2obo6b2obo25bobo4b4o173b2o198b2o548b2o2b2o3b2o4b2obo
$154bob2o6bob2o25bo3b3o177bo162bob2o4bob2o576bo2b2o3b2o4bob2o40bo3bo$
152b2o14b2o202bob2obo162b2obo4b2obo575bo12b2o41bo2bo3bo2bo25b3ob3o$
152bo15bo203b2obob2o159b2o12b2o573b2o2b2o3b2o2bo45bo3bo$153bo15bo38b2o
146b2o181bo13bo577bobobobo3bo41bo9bo23bobo5bobo$152b2o14b2o33b2o3bo
147b2o18b3o159bo13bo21b2o21b3o527b2o4bobo4b2o41b3o5b3o23b2o7b2o$154b2o
bo6b2obo35b2o4b3o163bo2bo159b2o12b2o20b2o3b3o15b3o3bo524bo3b2obo6b2obo
72bo7bo$154bob2o6bob2o43bo163b2o163bob2o6b2o26bo2bo17b3obo523bo8b2o4bo
b2o$305b2obo6b2obo62b2o157b2obo7bo26b2o20b2o525b2o8bo2b2o4b2o70bo7bo$
305bob2o6bob2o35bo25bob2o12b2o146b2o4bo25bob3o17bo2bo534bo3bo5bo36b3o
5b3o23b2o7b2o$309b2o2b2o4b2o33b2o23b3o163bo4b2o24bo3b3o15b3o3b2o521b2o
7b2o3bo5bo35bo9bo23bobo5bobo$309bo3bo5bo30b2o2b4o21b2o2b2o12bobo144bo
3b2o30b3o21b2o522bo8bo2b2o4b2o38bo3bo$310bo3bo5bo26b5ob2obob2o19b3ob3o
11bo2bo143b2o3bo577bo8bo5b2obo37bo2bo3bo2bo25b3ob3o$309b2o2b2o4b2o25bo
2b2o3b3o2bobo18bo4bo10bo3bo139bob2o4bo578b2o7b2o4bob2o40bo3bo$305b2obo
6b2obo25bobo2b3o3b2o2bo19bob2obo2bo9bo2bo139b2obo4b2o$305bob2o6bob2o
27b2obob2ob5o19b2obo2bo12bo788bo3bo$309b2o2b2o4b2o27b4o2b2o21bobobobo
18bo198b2o$309bo3bo5bo30b2o24bo2bob2o16bo2bo198bo580bo3bo3bo3bo21bo2bo
5bo2bo$310bo3bo5bo30bo21bo2bob2obo17bo3bo198b3o577b3obo3bob3o20b2obobo
3bobob2o$309b2o2b2o4b2o54bo4bo18bo2bo201bo577bo2bo5bo2bo21bo2bo5bo2bo$
305b2obo6b2obo56b3ob3o18bobo781bo7bo$305bob2o6bob2o57b2o2b2o835b2o7b2o
$348b2o29b3o20b2o779b2o7b2o$348b2o27b2obo$378b2o$384b2o$382bo2bo$382b
3o$598b3o3b3o$382b2obob2o207bob3o3b3obo$383bob2obo207bo2bo5bo2bo987b2o
12b2o$383bo157bob2o6b2obo29b2o1001b2o4bobo16bobo4b2o$382b2o157b2obo6bo
b2o1032b2o2bo2bobobo10bobobo2bo2b2o$539b2o8b2o4b2o25b3o1013bo10bo$540b
o8bo5bo24b2ob3o13bo5bo991b2o10b2o$539bo10bo5bo19bo2bob2o3bo11b3o3b3o
986bo3bo12bo3bo$539b2o8b2o4b2o19bob2obo2b3o11b3o3b3o984bobo20bobo$541b
ob2o6b2obo23b2o5bobo$541b2obo6bob2o23bobo5b2o951bob2o6b2obo6b2obo24b3o
5bo16bo5b3o$545b2o2b2o4b2o22b3o2bob2obo949b2obo6bob2o6bob2o23bob2o4bob
o14bobo4b2obo$365bo2bo2bo174bo2bo5bo23bo3b2obo2bo8b3o3b3o930b2o8b2o4b
2o8b2o21bo3b2o2bobo14bobo2b2o3bo$365b7o173bo4bo5bo23b3ob2o12b3o3b3o
931bo8bo5bo9bo22bob2o5bo4bo6bo4bo5b2obo$545b2o2b2o4b2o24b3o15bo5bo931b
o10bo5bo9bo19bo2b3o10b2o4b2o10b3o2bo$365b7o169bob2o6b2obo982b2o8b2o4b
2o8b2o19bo15b3o2b3o15bo$365bo2bo2bo169b2obo6bob2o25b2o957bob2o4bo5bo5b
2obo35bob2o4b2obo$1539b2obo5bo5bo4bob2o35b3o6b3o$596bo2bo5bo2bo934b2o
2b2o4b2o2b2o40bo8bo$596bob3o3b3obo935bo2bo5bo3bo41bo8bo$598b3o3b3o936b
o4bo5bo3bo39b3o6b3o$1543b2o2b2o4b2o2b2o39bob2o4b2obo$1539bob2o6b2obo6b
2obo21bo15b3o2b3o15bo$306b2obo6b2obo1219b2obo6bob2o6bob2o21bo2b3o10b2o
4b2o10b3o2bo$306bob2o6bob2o33bo774b2o2b2o3b2o4b2obo50bo2bo385bob2o5bo
4bo6bo4bo5b2obo$310b2o2b2o4b2o31bo5bo9b3o757bo2b2o3b2o4bob2o49bobo387b
o3b2o2bobo14bobo2b2o3bo$310bo3bo5bo34b2o2b3o10bo755bo12b2o4b2o47b3o
387bob2o4bobo14bobo4b2obo$311bo3bo5bo25b2o6bob5o6bobobo233b3o7b3o509b
2o2b2o3b2o2bo5bo47bob2o388b3o5bo16bo5b3o$310b2o2b2o4b2o25b2o7b2o9b2ob
4o205bo22bo2b5o5b5o2bo509bobobobo3bo5bo41bobo2b2o$306b2obo6b2obo36bo3b
3o4bob3o230bob2o4bo3bo4b2obo505b2o4bobo4b2o4b2o41bobo398bobo20bobo$
306bob2o6bob2o37b3obo4b3o3bo203b6o23b5o5b5o509bo3b2obo6b2obo43bo2bo
399bo3bo12bo3bo$310b2o8b2o33b4ob2o9b2o7b2o193b4o2bo7b2o15b3o7b3o509bo
8b2o4bob2o44b3o403b2o10b2o$310bo9bo35bobobo6b5obo6b2o192bo2b2ob2o2bo4b
obo536b2o8bo2b2o4b2o42bobo404bo10bo$311bo9bo34bo10b3o2b2o165bob2o6b2ob
o21b2o3bo4b2o5b2o544bo3bo5bo439b2o2bo2bobobo10bobobo2bo2b2o$310b2o8b2o
35b3o9bo5bo163b2obo6bob2o33bo3b3o535b2o7b2o3bo5bo438b2o4bobo16bobo4b2o
$306b2obo6b2obo55bo162bo8b2o4b2o29b2o4b3o16bo5bo513bo8bo2b2o4b2o40bob
2ob2o400b2o12b2o$306bob2o6bob2o218bo8bo5bo23bo6bo4bo2bobo13b3o3b3o511b
o8bo5b2obo42bobobobo$548bo5bo21bobo11bobo13b2obo5bob2o509b2o7b2o4bob2o
42b2ob2obo$538bo8b2o4b2o20b2ob2o10b3o13bo11bo$539bob2o6b2obo53b3o7b3o$
539b2obo6bob2o638bobo$543b2o8b2o18b3o10b2ob2o15b3o7b3o572b3o$544bo8bo
19bobo11bobo16bo11bo572bo2bo$357bo2bo2bo179bo10bo16bobo2bo4bo6bo17b2ob
o5bob2o573bobo$357b7o179b2o8b2o18b3o4b2o26b3o3b3o571b2o2bobo$539bob2o
6b2obo20b3o3bo29bo5bo570b2obo$357b7o175b2obo6bob2o20b2o5b2o4bo3b2o594b
3o$357bo2bo2bo210bobo4bo2b2ob2o2bo594bobo$575b2o7bo2b4o593bo2bo$584b6o
16b3o7b3o$605b5o5b5o$586bo15bob2o4bo3bo4b2obo$602bo2b5o5b5o2bo$606b3o
7b3o48$1093b2o2b2o16b2o20b2o2b2o$1051b2o2b2o6b2o11bo11bo5bo3bo38bo3bo
5bo11bo11b2o6b2o2b2o$1046b2o3b2o2bobo5bo10b3o5b2o3bobo4bobobob2o14b3o
15b2obobobo4bobo3b2o5b3o10bo5bobo2b2o3b2o$1006b2o7b2o6bo16b2o3bobo9bo
6b3ob2o3bo5bo2bobobo2bo5bobobobo13bo3bo14bobobobo5bo2bobobo2bo5bo3b2ob
3o6bo9bobo3b2o16bo6b2o7b2o$1006bo9bo5bobo9b2o5bo3bobob9ob2o5bobobo3b6o
4bob2ob3o5bobobob2o10bo3bo11b2obobobo5b3ob2obo4b6o3bobobo5b2ob9obobo3b
o5b2o9bobo5bo9bo$1001bob2obo9bob2obobo10bobo4bob2obobo9bobo7bob4o6b4o
3bo4bo3b2o3bobobo9bo3bo10bobobo3b2o3bo4bo3b4o6b4obo7bobo9bobob2obo4bob
o10bobob2obo9bob2obo$967b2obo4b2o3b2o19b2obob2o7b2obob2o2b3o9bo2b2obob
obo3b3o2b2obo8b3o5bo2bo5b2o3b2o8bob2o2bo10b3o11bo2b2obo8b2o3b2o5bo2bo
5b3o8bob2o2b3o3bobobob2o2bo9b3o2b2obob2o7b2obob2o$967bob2o4b2o3b2o12b
2o3b2o3bo3bo5bo3bo3b2o3bo3bo2bobobobo3bob2o4bo3bob2o3bobo4bob2o3b7o2b
3obob2o6bo4bobo20bobo4bo6b2obob3o2b7o3b2obo4bobo3b2obo3bo4b2obo3bobobo
bo2bo3bo3b2o3bo3bo5bo3bo3b2o3b2o$965b2o4b2o20bo2bobo2b2ob2ob2o5b2ob2ob
2o2bob2o2b2o2b3obo2b2o3bobo7bo6bo2bob3o4bo2b3o2bobo4bobobo9bo4bo16bo4b
o9bobobo4bobo2b3o2bo4b3obo2bo6bo7bobo3b2o2bob3o2b2o2b2obo2b2ob2ob2o5b
2ob2ob2o2bobo2bo$965bo5bo3b2o3b2o11bobo3bo5bobo2bobo2bobo5bo3b3o12b2ob
o2bo3bob3obob3o3bobob2o3b2o5b4ob2ob3obobo2bo6bo3bo8b2o4bo3bo6bo2bobob
3ob2ob4o5b2o3b2obobo3b3obob3obo3bo2bob2o12b3o3bo5bobo2bobo2bobo5bo3bob
o$966bo5bo2bobobobo12bob2obobo3b2o2b2ob2o2b2o3bob2o5bo6b4o2bo4bo4bobo
5bo4bob2o2b2o3bobobo10bo3b2ob2o3bobo3bo8b2o4bo3bobo3b2ob2o3bo10bobobo
3b2o2b2obo4bo5bobo4bo4bo2b4o6bo5b2obo3b2o2b2ob2o2b2o3bobob2obo$965b2o
4b2o4bobo16bo2bo5bo4bobo4bo5bo12bobobob2obo2bo2bo4bo3b2o9bo5b2ob2o3b6o
3bo2bo5bo2bo3bo14bo3bo2bo5bo2bo3b6o3b2ob2o5bo9b2o3bo4bo2bo2bob2obobobo
12bo5bo4bobo4bo5bo2bo$967b2obo5b2obo16bo2bo5bo4bobo4bo5bo12bobobob2obo
2bo2bo4bo3b2o9bo5b2ob2o3b6o3bo2bo5bo2bo3bo14bo3bo2bo5bo2bo3b6o3b2ob2o
5bo9b2o3bo4bo2bo2bob2obobobo12bo5bo4bobo4bo5bo2bo$967bob2o9b2o12bob2ob
obo3b2o2b2ob2o2b2o3bob2o5bo6b4o2bo4bo4bobo5bo4bob2o2b2o3bobobo10bo3b2o
b2o3bobo3bo4b2o8bo3bobo3b2ob2o3bo10bobobo3b2o2b2obo4bo5bobo4bo4bo2b4o
6bo5b2obo3b2o2b2ob2o2b2o3bobob2obo$965b2o4b2o8bo11bobo3bo5bobo2bobo2bo
bo5bo3b3o12b2obo2bo3bob3obob3o3bobob2o3b2o5b4ob2ob3obobo2bo6bo3bo4b2o
8bo3bo6bo2bobob3ob2ob4o5b2o3b2obobo3b3obob3obo3bo2bob2o12b3o3bo5bobo2b
obo2bobo5bo3bobo$965bo5bo8bo12bo2bobo2b2ob2ob2o5b2ob2ob2o2bob2o2b2o2b
3obo2b2o3bobo7bo6bo2bob3o4bo2b3o2bobo4bobobo9bo4bo16bo4bo9bobobo4bobo
2b3o2bo4b3obo2bo6bo7bobo3b2o2bob3o2b2o2b2obo2b2ob2ob2o5b2ob2ob2o2bobo
2bo$966bo5bo7b2o12b2o3b2o3bo3bo5bo3bo3b2o3bo3bo2bobobobo3bob2o4bo3bob
2o3bobo4bob2o3b7o2b3obob2o6bo4bobo20bobo4bo6b2obob3o2b7o3b2obo4bobo3b
2obo3bo4b2obo3bobobobo2bo3bo3b2o3bo3bo5bo3bo3b2o3b2o$965b2o4b2o8bo19b
2obob2o7b2obob2o2b3o9bo2b2obobobo3b3o2b2obo8b3o5bo2bo5b2o3b2o8bob2o2bo
11b3o10bo2b2obo8b2o3b2o5bo2bo5b3o8bob2o2b3o3bobobob2o2bo9b3o2b2obob2o
7b2obob2o$967b2obo9bo20bob2obo9bob2obobo10bobo4bob2obobo9bobo7bob4o6b
4o3bo4bo3b2o3bobobo10bo3bo9bobobo3b2o3bo4bo3b4o6b4obo7bobo9bobob2obo4b
obo10bobob2obo9bob2obo$967bob2o9b2o24bo9bo5bobo9b2o5bo3bobob9ob2o5bobo
bo3b6o4bob2ob3o5bobobob2o11bo3bo10b2obobobo5b3ob2obo4b6o3bobobo5b2ob9o
bobo3bo5b2o9bobo5bo9bo$1006b2o7b2o6bo16b2o3bobo9bo6b3ob2o3bo5bo2bobobo
2bo5bobobobo14bo3bo13bobobobo5bo2bobobo2bo5bo3b2ob3o6bo9bobo3b2o16bo6b
2o7b2o$1046b2o3b2o2bobo5bo10b3o5b2o3bobo4bobobob2o15b3o14b2obobobo4bob
o3b2o5b3o10bo5bobo2b2o3b2o$1051b2o2b2o6b2o11bo11bo5bo3bo38bo3bo5bo11bo
11b2o6b2o2b2o$1093b2o2b2o20b2o16b2o2b2o!
User:HotdogPi/My discoveries

Periods discovered: 6,8,10-16,18,20,21G,22,24,25,27-31,32SG,35,36,40,42,45,48,50,54G,55G,57G,60,63-66,70,74S,75,76S,84,96S,100,117G,120,126,128S,138,147,156,196S,217,486,576

S: SKOP
G: gun

MathAndCode
Posts: 4913
Joined: August 31st, 2020, 5:58 pm

Re: Oscillator Discussion Thread

Post by MathAndCode » July 22nd, 2021, 9:10 pm

Sokwe wrote:
July 22nd, 2021, 5:19 am
Unfortunately, I wasn't able to find a small replacement for the other T-nosed p4. The symmetrically placed eater doesn't work.
Other sparks work.

Code: Select all

x = 46, y = 34, rule = B3/S23
b2o5b2o26b2o5b2o$obo5bobo21bo2bobo5bobo$30b3o$29bo$3b2ob2o10bo10b2o7b
2ob2o$4bobo32bobo$3b2ob2o9b3o6b3o9b2ob2o$2b2o3b2o8bo2bo4bo2bo8b2o3b2o
$2obo3bob2o5bo4bo2bo4bo5b2obo3bob2o$b2o5b2o5b2o4bo2bo4b2o5b2o5b2o$16b
o4bo2bo4bo$18bo8bo$22b2o$b2o5b2o9b8o9b2o5b2o$b2o5b2o9b2o4b2o9b2o5b2o5$
b2o5b2o9b2o4b2o9b2o5b2o$b2o5b2o9b8o9b2o5b2o$22b2o$18bo8bo$16bo4bo2bo4b
o$b2o5b2o5b2o4bo2bo4b2o5b2o5b2o$2obo3bob2o5bo4bo2bo4bo5b2obo3bob2o$2b
2o3b2o8bo2bo4bo2bo8b2o3b2o$3b2ob2o9b3o6b3o9b2ob2o$4bobo32bobo$3b2ob2o
12bo8b2o7b2ob2o$29bo$30b3o$obo5bobo21bo2bobo5bobo$b2o5b2o26b2o5b2o!


Edit: I found another suitable spark position, which a unix can provide.

Code: Select all

x = 46, y = 42, rule = B3/S23
23b2o$23bo2bo3$b2o5b2o13bob2o9b2o5b2o$obo5bobo7b2o2bobo7bo2bobo5bobo$
18bo4bo6b3o$22bo6bo$3b2ob2o11bo2bo6b2o7b2ob2o$4bobo32bobo$3b2ob2o9b3o
6b3o9b2ob2o$2b2o3b2o8bo2bo4bo2bo8b2o3b2o$2obo3bob2o5bo4bo2bo4bo5b2obo
3bob2o$b2o5b2o5b2o4bo2bo4b2o5b2o5b2o$16bo4bo2bo4bo$18bo8bo$22b2o$b2o5b
2o9b8o9b2o5b2o$b2o5b2o9b2o4b2o9b2o5b2o5$b2o5b2o9b2o4b2o9b2o5b2o$b2o5b
2o9b8o9b2o5b2o$22b2o$18bo8bo$16bo4bo2bo4bo$b2o5b2o5b2o4bo2bo4b2o5b2o5b
2o$2obo3bob2o5bo4bo2bo4bo5b2obo3bob2o$2b2o3b2o8bo2bo4bo2bo8b2o3b2o$3b
2ob2o9b3o6b3o9b2ob2o$4bobo32bobo$3b2ob2o11bo2bo6b2o7b2ob2o$22bo6bo$18b
o4bo6b3o$obo5bobo7b2o2bobo7bo2bobo5bobo$b2o5b2o13bob2o9b2o5b2o3$23bo2b
o$23b2o!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

User avatar
wwei47
Posts: 1018
Joined: February 18th, 2021, 11:18 am

Re: Oscillator Discussion Thread

Post by wwei47 » July 23rd, 2021, 10:29 am

Here's an old batch of billiard tables I believe I forgot to post.

Code: Select all

x = 165, y = 19, rule = B3/S23
68bo7b2o$67bobo5bo2bo11b2o$31bo35bobo6b2o12bobo5b2o$30bobo4bo28b2ob2o
2b3o16bo4bobo19bo39b2o$29bo2b3obobo33bo2bo14bob2o3bo10b2o8bobo14bo5bo
17bobo$6bo22bobo3b2o2bo26b6obo15bobo4b2o11bo8bo2bo12bobo3bobo19bo$6b3o
4bo16bob2o3b2o26bo5bob2o14bo2bobo13bo6b2ob3o13bobo3bo2bo10bo5b2o$9bo2b
obobo15bob2o26bobob3obo5bo13bobo2b3o10b2o5bobo15b2obob2ob2o10bobo3bo$
4b5obo2bob2o14bo2bob5o21b2obo5b6o14bo5bo8b2o2bob2obo2b2obo15bo3bo11bob
o3bo$3bo4bob2obo17b3o7bo23bob2obo21b5o8bo3b2obobobobob2o17bobo10b2obob
2ob2o$3b3obo5bob2o17b5obo2b2o20bo2bob7o17bo11b3o5bobo5b2o10b2o2bobob2o
12bo3bobo$b2o5b5obobo14b3o7b3obo20bo2bo6bo32b3obo2bo2b2obo9bo2bo2bobo
2bo14bobobo$2bob2obo5bo17bo2b5obo4bo17b3o4bo2b3o32bo2bo4b2o2bobobo7b2o
2b2o3b2o10b2o2bobobo$2bo2bob6o19bo6b2ob3o18bo5b2o2bo34b2obobo4b2o3b2o
26bo2bo2bobo$3bo2bo26b5o3b2o63b2o2b2ob4o34b2o2b2o2bobo$3o5b3o24bo2b2o
65bo2bo8b3o39bob3o$o6b2o2bo26bob3o63b2o7b2o2bo40bo3bo$10b2o30bo72bo2bo
42bobo$116b2o42b2ob2o!

Code: Select all

*****  Period 6 at gen 2
p6 r14 4x7 ...2... .B.@0@A 100@0.3 .3..B..	<- UNKNOWN
u8 r14 4x7 ...B... .2.0@0A A@@@0.3 .3..B..	<- unknown
Change counts: 1 3 6 3 3  7 5 4 6
Sizes: 1x1 2x3 3x4 2x5 2x3  3x5 3x6 2x6 3x4
Gen 0.  Rows 35 - 46.  Cols 35 - 49.
,
,
,,,,,...o..o
,..ooooo.o..o
,.o....o.oo.o
,.ooo0o.....o
,,.....ooooo.
,,.oo.o.....o
,,..o.oooooo
,,o..o......
,

*****  Period 14 at gen 0
p14 r15 5x9 .......2. ...3.B.A2 ..A@001.. B1.2.3... .B.......	<- UNKNOWN
u14 r15 5x9 .......B. ...3.2.1B ..1@@@A.. B1.2.3... .B.......	<- unknown
Change counts: 1 3 7 5 5  5 5 1 3 7  5 5 5 5 1
Sizes: 1x1 2x3 3x5 3x3 3x4  3x3 3x4 1x1 2x3 3x5  3x3 3x4 3x3 3x4 1x1
Gen 0.  Rows 33 - 47.  Cols 29 - 46.
,
,
,,,,...oo
,,o.oo...o
,,..o.oo.....
,,.o..o.ooooo
,,.ooo.......o
,,,...ooooo0o..o
,,,,oo.......ooo
,,,,..ooooo.o...
,,,,,,.....oo.oo
,,,,,,,,,o...oo.
,,,,,,,,,,oo....
,
,

*****  Period 6 at gen 2
p6 r16 4x8 ...2..3. .B.@0@@A 100@0.2. .3..B...	<- UNKNOWN
u8 r16 4x8 ...B..3. .2.0@0@A A@@@0.2. .3..B...	<- unknown
Change counts: 1 3 7 5 4  7 5 4 7
Sizes: 1x1 2x3 3x5 3x6 2x6  3x5 3x6 2x6 3x5
Gen 0.  Rows 35 - 46.  Cols 34 - 49.
,
,
,,,......o..o
,,,oooooo.o..
,,o.....o.oo.
,,.ooo0o.....o
,,o.....oooooo
,,o.oo.o......
,,o..o.oooooo
,,,o..o......
,
,


*****  Period 4 at gen 1
p4 r8 3x4 ..21 3.BB 3.B1        <- unknown: split rotor (gap = 1)
u5 r10 3x4 ..11 A0@2 A00A       <- unknown
Change counts: 1 4 6 6 8  4
Sizes: 1x1 2x2 2x4 3x3 3x4  2x2
Gen 0.  Rows 34 - 44.  Cols 34 - 45.
,
,
,,,.o....o.
,,o.oo...o.
,,.o....oo.
,,..o.o...
,,o.o.0ooo.
,,.o.....o.
,,..ooooo..
,
,

*****  Period 2 at gen 5
p2 r6 3x4 ..1. 3.BB 3.C.        <- unknown: split rotor (gap = 1)
u7 r15 3x8 ..1.1.A. 3C20@0@A 3.3A.1..   <- unknown
Change counts: 1 2 4 5 6  6 6 6
Sizes: 1x1 1x2 3x4 3x6 3x5  3x5 3x4 3x5
Gen 0.  Rows 35 - 47.  Cols 33 - 49.
,
,
,,,,,,,...o.o..
,,o..o.oo.o..oo
,,..oo.o.o.o.o.
,,oo...0.o.o...
,,..ooo.o..o..o
,,.o..o....oo..
,,.oo.o.o....oo
,,,..oo.oooo
,,,o...,...
,
,

*****  Period 2 at gen 3
p2 r8 2x7 3.C.3.C 3.C.3.C       <- unknown: split rotor (gap = 1)
u5 r12 3x7 ....2.. B1B11.2 B.2.B12      <- unknown
Change counts: 1 1 4 6 8  6
Sizes: 1x1 1x1 3x3 3x5 3x7  3x5
Gen 0.  Rows 36 - 46.  Cols 32 - 46.
,
,
,,.o.o...o..o
,,oo.o.oo.oo.
,,....o.0.o..
,,......o.o..
,,.oo..o.o.oo
,,..o..o.o..o
,,o..oo..
,
,

*****  Period 2 at gen 4
p2 r10 3x8 .......1 3.C.3.BB 3.C.3.C.   <- unknown: split rotor (gap = 1)
u6 r14 3x8 ..2....A 2.11B1A2 21B.2.B.   <- unknown
Change counts: 1 1 4 6 8  8 8
Sizes: 1x1 1x1 3x3 3x5 3x7  3x7 3x7
Gen 0.  Rows 36 - 46.  Cols 32 - 46.
,
,
,,.o.o...o....
,,oo.o.oo.oo..
,,....o.0.o.o.
,,......o.o.o.
,,.oo..o.o.o..
,,..o..o.o....
,,o..oo..o.o..
,
,
Self-proclaimed synthesis "expert"

hotdogPi
Posts: 458
Joined: August 12th, 2020, 8:22 pm

Re: Oscillator Discussion Thread

Post by hotdogPi » July 24th, 2021, 11:15 am

Here's another complete p63, unrelated to the first one. Note that I'm using the p7 pipsquirter from the wiki; if there's a smaller one that works in all contexts, the wiki page needs to be updated.

Code: Select all

x = 55, y = 52, rule = B3/S23
17bo19bo$16bob3o13b3obo$21bo2b2o3b2o2bo$16b2o3bo2b2o3b2o2bo3b2o$bo2bo
2bo7bo4bo13bo4bo7bo2bo2bo$b7o2bo5b4o15b4o5bo2b7o$8b3o33b3o$3b4o9b4o15b
4o9b4o$2bobo2b2o6bo4bo13bo4bo6b2o2bobo$2bo6bo6b2o3bo2b2o3b2o2bo3b2o6bo
6bo$b2ob5obo10bo2b2o3b2o2bo10bob5ob2o$2bo5bobo5bob3o13b3obo5bobo5bo$2b
obo2bo2b2o5bo19bo5b2o2bo2bobo$obo2bobobo35bobobo2bobo$2ob2o2bobo35bobo
2b2ob2o$3bo3bob2o33b2obo3bo$3bob2obo37bob2obo$2obo4bo37bo4bob2o$obo3bo
b2o35b2obo3bobo$3b4o2bo35bo2b4o$7b2o11b3o9b3o11b2o$3b4o2bo10bobo9bobo
10bo2b4o$3bo2bob2o10b3o9b3o10b2obo2bo$8bo37bo$8bo37bo$5b2obob2o31b2obo
b2o$5b2obob2o31b2obob2o$8bo37bo$8bo37bo$3bo2bob2o10b3o9b3o10b2obo2bo$
3b4o2bo10bobo9bobo10bo2b4o$7b2o11b3o9b3o11b2o$3b4o2bo35bo2b4o$obo3bob
2o35b2obo3bobo$2obo4bo37bo4bob2o$3bob2obo37bob2obo$3bo3bob2o33b2obo3bo
$2ob2o2bobo35bobo2b2ob2o$obo2bobobo35bobobo2bobo$2bobo2bo2b2o5bo19bo5b
2o2bo2bobo$2bo5bobo5bob3o13b3obo5bobo5bo$b2ob5obo10bo2b2o3b2o2bo10bob
5ob2o$2bo6bo6b2o3bo2b2o3b2o2bo3b2o6bo6bo$2bobo2b2o6bo4bo13bo4bo6b2o2bo
bo$3b4o9b4o15b4o9b4o$8b3o33b3o$b7o2bo5b4o15b4o5bo2b7o$bo2bo2bo7bo4bo
13bo4bo7bo2bo2bo$16b2o3bo2b2o3b2o2bo3b2o$21bo2b2o3b2o2bo$16bob3o13b3ob
o$17bo19bo!
Edited: My already known p48 can hassle a block

Code: Select all

x = 59, y = 47, rule = B3/S23
21b2o$17b2obobo$18bobo$18bo2bo$17b2obobob2ob2o$16bo3b2o3bobo$17b3o5bob
o22b2o$20b5obo19b2obobo$17b2o28bobo$16bob2o2b7o18bo2bo$16bo12bo16b2obo
bob2ob2o$17b3ob4ob3o16bo3b2o3bobo$19b8o19b3o5bobo$49b5obo$46b2o$45bob
2o2b7o$11b2o7b2o23bo12bo$10bobo33b3ob4ob3o$10bo37b8o$11b2o27b2o$12bo4b
o24bo$17b2o14b3o3bo3bo$19bo15bo4bo3bo$17bobo13bo7bo2bo$8b2o7b2o11b4o3b
o6bo$27b2o4bo3b2o2bobo9b2o$27b2o7bo4b2o2b2o4bo$33b2o9bobo2b2o3bo$3b8o
32bo6bo3b4o$b3ob4ob3o30bo2bo7bo$o12bo29bo3bo4bo$b7o2b2obo30bo3bo3b3o$
11b2o32bo$3bob5o36b2o$2bobo5b3o19b8o$2bobo3b2o3bo16b3ob4ob3o$b2ob2obob
ob2o16bo12bo$8bo2bo18b7o2b2obo$9bobo28b2o$7bobob2o19bob5o$7b2o22bobo5b
3o$31bobo3b2o3bo$30b2ob2obobob2o$37bo2bo$38bobo$36bobob2o$36b2o!
More partials, mostly two-step:

p21

Code: Select all

x = 51, y = 20, rule = B3/S23
37b2o10b2o2$39bo8bo$38b3o6b3o$40b2o4b2o$4bo10bo21bo12bo$o2bobo8bobo2bo
17bo12bo$obo3bo6bo3bobo17bo12bo$3bobo8bobo$4bo10bo3$37bo12bo$37bo12bo$
4bo10bo21bo12bo$3bobo8bobo23b2o4b2o$obo3bo6bo3bobo18b3o6b3o$o2bobo8bob
o2bo19bo8bo$4bo10bo$37b2o10b2o!
p25

Code: Select all

x = 56, y = 15, rule = B3/S23
40bo10bo2$38b2o12b2o$4bo14bo20bo10bo$2b2ob2o10b2ob2o14bo3bo10bo3bo$o3b
o14bo3bo16bo10bo$o22bo13bobo12bobo2$o22bo13bobo12bobo$o3bo14bo3bo16bo
10bo$2b2ob2o10b2ob2o14bo3bo10bo3bo$4bo14bo20bo10bo$38b2o12b2o2$40bo10b
o!
p28

Code: Select all

x = 40, y = 18, rule = B3/S23
26b2o8b2o$4bo8bo$o2bobo6bobo2bo10bob4obo$obo3bo4bo3bobo9bo8bo$3bobo6bo
bo13bo6bo$4bo8bo15b6o$26bo10bo$25bobo3b2o3bobo$4bo8bo10bo3bobo2bobo3bo
$3bobo6bobo9bo3bobo2bobo3bo$obo3bo4bo3bobo7bobo3b2o3bobo$o2bobo6bobo2b
o8bo10bo$4bo8bo15b6o$28bo6bo$27bo8bo$28bob4obo2$26b2o8b2o!
p32

Code: Select all

x = 24, y = 42, rule = B3/S23
3bo16bo$2b2o16b2o$bob2o14b2obo$3o2bo12bo2b3o$2bobobo10bobobo$3bobobo8b
obobo$4bo2b3o4b3o2bo$5b2obo6bob2o$6b2o8b2o$6bo10bo3$7bo8bo$7bo8bo$7bo
8bo$bo20bo$3b3o3b6o3b3o$bo20bo$7bo8bo$7bo8bo$7bo8bo$7bo8bo$7bo8bo$7bo
8bo$bo20bo$3b3o3b6o3b3o$bo20bo$7bo8bo$7bo8bo$7bo8bo3$6bo10bo$6b2o8b2o$
5b2obo6bob2o$4bo2b3o4b3o2bo$3bobobo8bobobo$2bobobo10bobobo$3o2bo12bo2b
3o$bob2o14b2obo$2b2o16b2o$3bo16bo!
p45

Code: Select all

x = 62, y = 20, rule = B3/S23
45b2o8b2o$7bo8bo$8bo6bo27b2o2bo6bo2b2o$3b2o4bo4bo4b2o22bo2bob2o2b2obo
2bo$o2bo3bob2o2b2obo3bo2bo18bo16bo$obo3b4o4b4o3bobo16b3ob2o10b2ob3o$3b
4obo6bob4o24b2o8b2o$4b4o8b4o24b2o10b2o5$4b4o8b4o24b2o10b2o$3b4obo6bob
4o24b2o8b2o$obo3b4o4b4o3bobo16b3ob2o10b2ob3o$o2bo3bob2o2b2obo3bo2bo18b
o16bo$3b2o4bo4bo4b2o22bo2bob2o2b2obo2bo$8bo6bo27b2o2bo6bo2b2o$7bo8bo$
45b2o8b2o!
p50

Code: Select all

x = 27, y = 15, rule = B3/S23
o25bo$bo23bo$bo23bo$3b3o3b3o3b3o3b3o$3bobo3bobo3bobo3bobo$3b3o3b3o3b3o
3b3o4$3b3o3b3o3b3o3b3o$3bobo3bobo3bobo3bobo$3b3o3b3o3b3o3b3o$bo23bo$bo
23bo$o25bo!
p52

Code: Select all

x = 45, y = 22, rule = B3/S23
33bo7bo$6bo7bo$6bo7bo17b3o5b3o$6bo7bo16bo11bo$3b2o11b2o12b2o3bo3bo3b2o
$2bob2o9b2obo12bo11bo$2bo2b2o7b2o2bo14bobo3bobo$o3bo11bo3bo14bo3bo$33b
obo3bobo$33b2o5b2o3$o3bo11bo3bo12b2o5b2o$2bo2b2o7b2o2bo14bobo3bobo$2bo
b2o9b2obo16bo3bo$3b2o11b2o15bobo3bobo$6bo7bo16bo11bo$6bo7bo15b2o3bo3bo
3b2o$6bo7bo16bo11bo$32b3o5b3o2$33bo7bo!
p60

Code: Select all

x = 21, y = 20, rule = B3/S23
2b2o13b2o2$3b2o11b2o$4bobob2ob2obobo$6bo7bo$8bo3bo$obobo3bo3bo3bobobo$
o2bo3bo5bo3bo2bo$3bo3bo5bo3bo$5bo9bo$5bo9bo$3bo3bo5bo3bo$o2bo3bo5bo3bo
2bo$obobo3bo3bo3bobobo$8bo3bo$6bo7bo$4bobob2ob2obobo$3b2o11b2o2$2b2o
13b2o!
p68 gun. Note that a p4 sparker on the left and right, despite the active region encroaching, might work. Everything I've tried so far has destroyed the sparker, but a decent number of them leave the central region intact. The top and bottom simply need a p4 search.

Code: Select all

x = 47, y = 18, rule = B3/S23
6bo11bo18b2o3b2o2$3bo5bo5bo5bo13b3o5b3o$obo3bo3bo3bo3bo3bobo9bo3b2ob2o
3bo$2bobo3bobo3bobo3bobo11bo4bobo4bo$2b3o3b3o3b3o3b3o11b2obobobobob2o$
2b2o5b2o3b2o5b2o11b2o3bobo3b2o$4bo3bo7bo3bo14b5ob5o3$4bo3bo7bo3bo14b5o
b5o$2b2o5b2o3b2o5b2o11b2o3bobo3b2o$2b3o3b3o3b3o3b3o11b2obobobobob2o$2b
obo3bobo3bobo3bobo11bo4bobo4bo$obo3bo3bo3bo3bo3bobo9bo3b2ob2o3bo$3bo5b
o5bo5bo13b3o5b3o2$6bo11bo18b2o3b2o!
p70

Code: Select all

x = 95, y = 22, rule = B3/S23
76b2o8b2o2$36bo3bo4bo3bo28bo6bo$30bo5b3obo4bob3o5bo22bo6bo$30bob2o3b2o
bo4bob2o3b2obo14bo2b2o2bo8bo2b2o2bo$3o6b3o23bobo10bobo18bo3b2o3bo6bo3b
2o3bo$obo6bobo20b2o3bo10bo3b2o16bo2bo3bobo4bobo3bo2bo$3o6b3o22bob2o10b
2obo26bo6bo$35bo14bo25b3o6b3o$76b2o8b2o2$35bo14bo$3o6b3o22bob2o10b2obo
24b2o8b2o$obo6bobo20b2o3bo10bo3b2o22b3o6b3o$3o6b3o23bobo10bobo27bo6bo$
30bob2o3b2obo4bob2o3b2obo14bo2bo3bobo4bobo3bo2bo$30bo5b3obo4bob3o5bo
13bo3b2o3bo6bo3b2o3bo$36bo3bo4bo3bo20bo2b2o2bo8bo2b2o2bo$78bo6bo$78bo
6bo2$76b2o8b2o!
works at any period 38+

Code: Select all

x = 41, y = 24, rule = B3/S23
28b2o9b2o2$29b2o7b2o$28bo2bo5bo2bo$28bobo7bobo$29bo9bo$3b3o5b3o$obo3bo
3bo3bobo$2bo3bo3bo3bo14b2o7b2o$2bo3bo3bo3bo15b2o5b2o$3b3o5b3o4$30b2o5b
2o$29b2o7b2o2$3b3o5b3o$2bo3bo3bo3bo14bo9bo$2bo3bo3bo3bo13bobo7bobo$obo
3bo3bo3bobo11bo2bo5bo2bo$3b3o5b3o15b2o7b2o2$28b2o9b2o!
User:HotdogPi/My discoveries

Periods discovered: 6,8,10-16,18,20,21G,22,24,25,27-31,32SG,35,36,40,42,45,48,50,54G,55G,57G,60,63-66,70,74S,75,76S,84,96S,100,117G,120,126,128S,138,147,156,196S,217,486,576

S: SKOP
G: gun

Sokwe
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Posts: 2011
Joined: July 9th, 2009, 2:44 pm

Re: Oscillator Discussion Thread

Post by Sokwe » July 24th, 2021, 12:59 pm

hotdogPi wrote:
July 24th, 2021, 11:15 am
Here's another complete p63, unrelated to the first one. Note that I'm using the p7 pipsquirter from the wiki; if there's a smaller one that works in all contexts, the wiki page needs to be updated.
There is indeed a smaller p7 pipsquirter found by Scorbie. However, the small p7 thumb works in this case:

Code: Select all

x = 49, y = 50, rule = B3/S23
12bo23bo$11bob3o17b3obo$16bo2b2o7b2o2bo$11b2o3bo2b2o7b2o2bo3b2o$10bo4b
o17bo4bo$11b4o19b4o2$4b2o5b4o19b4o5b2o$5bo4bo4bo17bo4bo4bo$4bo6b2o3bo
2b2o7b2o2bo3b2o6bo$4b4o8bo2b2o7b2o2bo8b4o$7bo3bob3o17b3obo3bo$4b2o6bo
23bo6b2o$4bo2bo33bo2bo$5b3o33b3o$3bobo37bobo$b3obo37bob3o$o4b3o33b3o4b
o$obobo2bo33bo2bobobo$b2ob2o11b3o9b3o11b2ob2o$3bo3bo9bobo9bobo9bo3bo$
3bob3o9b3o9b3o9b3obo$4bo39bo$5bo37bo$6bo35bo$7bo33bo$6b2o33b2o$3b2o39b
2o$3bob3o9b3o9b3o9b3obo$7bo9bobo9bobo9bo$4b2o11b3o9b3o11b2o$4bo2bo33bo
2bo$5b3o33b3o$3bobo37bobo$b3obo37bob3o$o4b3o33b3o4bo$obobo2bo33bo2bobo
bo$b2ob2o6bo23bo6b2ob2o$3bo3bo3bob3o17b3obo3bo3bo$3bob3o8bo2b2o7b2o2bo
8b3obo$4bo6b2o3bo2b2o7b2o2bo3b2o6bo$5bo4bo4bo17bo4bo4bo$4b2o5b4o19b4o
5b2o2$11b4o19b4o$10bo4bo17bo4bo$11b2o3bo2b2o7b2o2bo3b2o$16bo2b2o7b2o2b
o$11bob3o17b3obo$12bo23bo!
-Matthias Merzenich

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iNoMed
Posts: 212
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Location: Scotland

Re: Oscillator Discussion Thread

Post by iNoMed » July 24th, 2021, 1:04 pm

The weld can be reduced slightly:

Code: Select all

x = 49, y = 50, rule = B3/S23
12bo23bo$11bob3o17b3obo$16bo2b2o7b2o2bo$11b2o3bo2b2o7b2o2bo3b2o$10bo4b
o17bo4bo$11b4o19b4o2$4b2o5b4o19b4o5b2o$5bo4bo4bo17bo4bo4bo$4bo6b2o3bo
2b2o7b2o2bo3b2o6bo$4b4o8bo2b2o7b2o2bo8b4o$7bo3bob3o17b3obo3bo$4b2o6bo
23bo6b2o$4bo2bo33bo2bo$5b3o33b3o$3bobo37bobo$b3obo37bob3o$o4b3o33b3o4b
o$obobo2bo33bo2bobobo$b2ob2o11b3o9b3o11b2ob2o$3bo3bo9bobo9bobo9bo3bo$
3bob3o9b3o9b3o9b3obo$4bo39bo$5bo37bo$6bo35bo$7bo33bo$6b2o33b2o$4bo39bo
$4b4o9b3o9b3o9b4o$7bo9bobo9bobo9bo$4b2o11b3o9b3o11b2o$4bo2bo33bo2bo$5b
3o33b3o$3bobo37bobo$b3obo37bob3o$o4b3o33b3o4bo$obobo2bo33bo2bobobo$b2o
b2o6bo23bo6b2ob2o$3bo3bo3bob3o17b3obo3bo3bo$3bob3o8bo2b2o7b2o2bo8b3obo
$4bo6b2o3bo2b2o7b2o2bo3b2o6bo$5bo4bo4bo17bo4bo4bo$4b2o5b4o19b4o5b2o2$
11b4o19b4o$10bo4bo17bo4bo$11b2o3bo2b2o7b2o2bo3b2o$16bo2b2o7b2o2bo$11bo
b3o17b3obo$12bo23bo!

Code: Select all

x = 35, y = 5, rule = B3/S23
4b2o3b2o3bo3b2ob2o3b2ob2o$2o2bobo3bo2bobobobobobobobobobo$obobo2bo2bob
o2bobo2bo2bobo3bobo$2bobo3bobobobo2bo5bobo3bobob2o$b2ob2o3b2ob2o3b2o3b
2ob2o3b2ob2o!

Sokwe
Moderator
Posts: 2011
Joined: July 9th, 2009, 2:44 pm

Re: Oscillator Discussion Thread

Post by Sokwe » July 24th, 2021, 1:11 pm

iNoMed wrote:
July 24th, 2021, 1:04 pm
The weld can be reduced slightly
Nice catch. This symmetric variant is a one-cell reduction and might be more aesthetically pleasing:

Code: Select all

x = 49, y = 50, rule = B3/S23
12bo23bo$11bob3o17b3obo$16bo2b2o7b2o2bo$11b2o3bo2b2o7b2o2bo3b2o$10bo4b
o17bo4bo$11b4o19b4o2$4b2o5b4o19b4o5b2o$5bo4bo4bo17bo4bo4bo$4bo6b2o3bo
2b2o7b2o2bo3b2o6bo$4b4o8bo2b2o7b2o2bo8b4o$7bo3bob3o17b3obo3bo$4b2o6bo
23bo6b2o$4bo2bo33bo2bo$5b3o33b3o$3bobo37bobo$b3obo37bob3o$o4b3o33b3o4b
o$b2obo2bo33bo2bob2o$2bob2o11b3o9b3o11b2obo$2bo4bo9bobo9bobo9bo4bo$3b
5o9b3o9b3o9b5o2$5bo37bo$4bobo35bobo$4bobo35bobo$5bo37bo2$3b5o9b3o9b3o
9b5o$2bo4bo9bobo9bobo9bo4bo$2bob2o11b3o9b3o11b2obo$b2obo2bo33bo2bob2o$
o4b3o33b3o4bo$b3obo37bob3o$3bobo37bobo$5b3o33b3o$4bo2bo33bo2bo$4b2o6bo
23bo6b2o$7bo3bob3o17b3obo3bo$4b4o8bo2b2o7b2o2bo8b4o$4bo6b2o3bo2b2o7b2o
2bo3b2o6bo$5bo4bo4bo17bo4bo4bo$4b2o5b4o19b4o5b2o2$11b4o19b4o$10bo4bo
17bo4bo$11b2o3bo2b2o7b2o2bo3b2o$16bo2b2o7b2o2bo$11bob3o17b3obo$12bo23b
o!
-Matthias Merzenich

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wwei47
Posts: 1018
Joined: February 18th, 2021, 11:18 am

Re: Oscillator Discussion Thread

Post by wwei47 » July 24th, 2021, 1:23 pm

Maximally symmetric:

Code: Select all

x = 51, y = 50, rule = B3/S23
13bo23bo$12bob3o17b3obo$17bo2b2o7b2o2bo$12b2o3bo2b2o7b2o2bo3b2o$11bo4b
o17bo4bo$6bo5b4o19b4o5bo$5bobo35bobo$5bobo4b4o19b4o4bobo$6bo4bo4bo17b
o4bo4bo$12b2o3bo2b2o7b2o2bo3b2o$4b5o8bo2b2o7b2o2bo8b5o$3bo4bo3bob3o17b
3obo3bo4bo$3bob2o6bo23bo6b2obo$2obobo2bo33bo2bobob2o$ob2o2b3o33b3o2b2o
bo$4bobo37bobo$4bobo37bobo$ob2o2b3o33b3o2b2obo$2obobo2bo33bo2bobob2o$
3bob2o11b3o9b3o11b2obo$3bo4bo9bobo9bobo9bo4bo$4b5o9b3o9b3o9b5o2$6bo37b
o$5bobo35bobo$5bobo35bobo$6bo37bo2$4b5o9b3o9b3o9b5o$3bo4bo9bobo9bobo9b
o4bo$3bob2o11b3o9b3o11b2obo$2obobo2bo33bo2bobob2o$ob2o2b3o33b3o2b2obo
$4bobo37bobo$4bobo37bobo$ob2o2b3o33b3o2b2obo$2obobo2bo33bo2bobob2o$3b
ob2o6bo23bo6b2obo$3bo4bo3bob3o17b3obo3bo4bo$4b5o8bo2b2o7b2o2bo8b5o$12b
2o3bo2b2o7b2o2bo3b2o$6bo4bo4bo17bo4bo4bo$5bobo4b4o19b4o4bobo$5bobo35b
obo$6bo5b4o19b4o5bo$11bo4bo17bo4bo$12b2o3bo2b2o7b2o2bo3b2o$17bo2b2o7b
2o2bo$12bob3o17b3obo$13bo23bo!
Self-proclaimed synthesis "expert"

hotdogPi
Posts: 458
Joined: August 12th, 2020, 8:22 pm

Re: Oscillator Discussion Thread

Post by hotdogPi » July 24th, 2021, 1:37 pm

I know I don't normally post partials immediately after I make a post with a whole bunch of other partials, but this one looks very promising. This is a p65 partial. The left half needs 3, 4, or 5 empty cells between the domino sparks. The right half needs 2, 4, or 6, meaning that if one with 4 is found, it will satisfy both. We just need a search. The right half occurs 38 generations after the left half.

Code: Select all

x = 59, y = 19, rule = B3/S23
46b2o4b2o2$5bo5bo6bo5bo22bo6bo$4b3o3b3o4b3o3b3o21bo6bo$o2bobobobobobo
2bobobobobobo20bo6bo$ob3ob2ob2ob6ob2ob2ob3obo$3bobobobobobo2bobobobobo
bo2bo13b3o10b3o$4b3o3b3o4b3o3b3o19bobo6bobo$47bo6bo$4b3o3b3o4b3o3b3o$o
2bobobobobobo2bobobobobobo20bo6bo$ob3ob2ob2ob6ob2ob2ob3obo15bobo6bobo$
3bobobobobobo2bobobobobobo2bo13b3o10b3o$4b3o3b3o4b3o3b3o$5bo5bo6bo5bo
22bo6bo$47bo6bo$47bo6bo2$48b2o4b2o!
User:HotdogPi/My discoveries

Periods discovered: 6,8,10-16,18,20,21G,22,24,25,27-31,32SG,35,36,40,42,45,48,50,54G,55G,57G,60,63-66,70,74S,75,76S,84,96S,100,117G,120,126,128S,138,147,156,196S,217,486,576

S: SKOP
G: gun

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Scorbie
Posts: 1584
Joined: December 7th, 2013, 1:05 am

Re: Oscillator Discussion Thread

Post by Scorbie » July 24th, 2021, 4:13 pm

hotdogPi wrote:
July 24th, 2021, 1:37 pm
I know I don't normally post partials immediately after I make a post with a whole bunch of other partials, but this one looks very promising. This is a p65 partial. The left half needs 3, 4, or 5 empty cells between the domino sparks. The right half needs 2, 4, or 6, meaning that if one with 4 is found, it will satisfy both. We just need a search. The right half occurs 38 generations after the left half.

Code: Select all

x = 59, y = 19, rule = B3/S23
46b2o4b2o2$5bo5bo6bo5bo22bo6bo$4b3o3b3o4b3o3b3o21bo6bo$o2bobobobobobo
2bobobobobobo20bo6bo$ob3ob2ob2ob6ob2ob2ob3obo$3bobobobobobo2bobobobobo
bo2bo13b3o10b3o$4b3o3b3o4b3o3b3o19bobo6bobo$47bo6bo$4b3o3b3o4b3o3b3o$o
2bobobobobobo2bobobobobobo20bo6bo$ob3ob2ob2ob6ob2ob2ob3obo15bobo6bobo$
3bobobobobobo2bobobobobobo2bo13b3o10b3o$4b3o3b3o4b3o3b3o$5bo5bo6bo5bo
22bo6bo$47bo6bo$47bo6bo2$48b2o4b2o!
I had a hard time finding a 4-spaced bidomino sparker, so here's the solution for only the right half.

Code: Select all

x = 85, y = 30, rule = B3/S23
38b2o5b2o2$39bo5bo$38b3o3b3o$b2o11bo12b2o8bobobobobobo8b2o12bo11b2o$bo
2bo3bo4bobo3bo8bo7b3ob2ob2ob3o7bo8bo3bobo4bo3bo2bo$3b2o2bobo2bo2bo2bob
o6bo3bo5bobobobobobo5bo3bo6bobo2bo2bo2bobo2b2o$4bobo2bo2bob2obobo6bob
4o6b3o3b3o6b4obo6bobob2obo2bo2bobo$4bo2b2ob3o2bobo2b3o3bo31bo3b3o2bobo
2b3ob2o2bo$b2obobo2bo3b2o3b2ob2ob2o2b4o6b3o3b3o6b4o2b2ob2ob2o3b2o3bo2b
obob2o$obobob2obobobo4b2o5bo6bo4bobobobobobo4bo6bo5b2o4bobobob2obobobo
$obob6ob3o9b10o3b3ob2ob2ob3o3b10o9b3ob6obobo$bob2o4b3o3b3o5bo4b4o5bobo
bobobobo5b4o4bo5b3o3b3o4b2obo$2bo35b3o3b3o35bo$39bo5bo$39bo5bo$2bo35b
3o3b3o35bo$bob2o4b3o3b3o5bo4b4o5bobobobobobo5b4o4bo5b3o3b3o4b2obo$obob
6ob3o9b10o3b3ob2ob2ob3o3b10o9b3ob6obobo$obobob2obobobo4b2o5bo6bo4bobob
obobobo4bo6bo5b2o4bobobob2obobobo$b2obobo2bo3b2o3b2ob2ob2o2b4o6b3o3b3o
6b4o2b2ob2ob2o3b2o3bo2bobob2o$4bo2b2ob3o2bobo2b3o3bo31bo3b3o2bobo2b3ob
2o2bo$4bobo2bo2bob2obobo6bob4o6b3o3b3o6b4obo6bobob2obo2bo2bobo$3b2o2bo
bo2bo2bo2bobo6bo3bo5bobobobobobo5bo3bo6bobo2bo2bo2bobo2b2o$bo2bo3bo4bo
bo3bo8bo7b3ob2ob2ob3o7bo8bo3bobo4bo3bo2bo$b2o11bo12b2o8bobobobobobo8b
2o12bo11b2o$38b3o3b3o$39bo5bo2$38b2o5b2o!
Edit: Reduction of that supporting osc

Code: Select all

x = 27, y = 10, rule = B3/S23
$2bo6bo6b3o3b2o$o2bob2o2b4o8bo2bo$o2bo2bo4b4o7bobo$2b3o2b2ob4o2bo2b4ob
2o$5bobo8bo2bo6bo$2b4obo6bob2o2b2ob3o$2bo3bo6bobo4b2obo$5bo7bobo$5b2o
7bo!
The thing that differentiates science from religion is disprovability.

Sokwe
Moderator
Posts: 2011
Joined: July 9th, 2009, 2:44 pm

Re: Oscillator Discussion Thread

Post by Sokwe » July 24th, 2021, 8:45 pm

Scorbie wrote:
July 24th, 2021, 4:13 pm
hotdogPi wrote:
July 24th, 2021, 1:37 pm
I know I don't normally post partials immediately after I make a post with a whole bunch of other partials, but this one looks very promising. This is a p65 partial. The left half needs 3, 4, or 5 empty cells between the domino sparks. The right half needs 2, 4, or 6, meaning that if one with 4 is found, it will satisfy both. We just need a search. The right half occurs 38 generations after the left half.
here's the solution for only the right half.
Nice! Here's a solution to the other part found using JLS:

Code: Select all

x = 88, y = 67, rule = B3/S23
34b2obo3b2o2b2o3bob2o$34bob2o3bo4bo3b2obo$38b2obo4bob2o$35b2obobo6bobo
b2o$35b2obo10bob2o$38b2o8b2o$39b3o4b3o$36bo2b3o4b3o2bo$36b3o10b3o$34b
2o4bo6bo4b2o$33bo2bob2o8b2obo2bo$34b2o16b2o$39bo8bo$37bob2o6b2obo$40bo
6bo$38bo10bo$38bob2o4b2obo$36b3o10b3o$33bobo3b3o4b3o3bobo$19b2o12b2ob
2o12b2ob2o12b2o$19bo16bo14bo16bo$16b2obo6b2o8bob2o8b2obo8b2o6bob2o$12b
o2bobob2o6bo7b2obob2o4b2obob2o7bo6b2obobo2bo$5b2o5b4o6b2obo13b2o6b2o
13bob2o6b4o5b2o$4bobo10bob2obob3o13bo6bo13b3obob2obo10bobo$4bobob2o4b
5obobo42bobob5o4b2obobo$3b2obobo2bobo6bo3b3o34b3o3bo6bobo2bobob2o$2o4b
o3b2obo3b2o5bob2o32b2obo5b2o3bob2o3bo4b2o$ob4ob3o2b2o2bo2bo3bo2b2o32b
2o2bo3bo2bo2b2o2b3ob4obo$2bo2bo3bo2b2o2bo2bobobo3bo11b3o4b3o11bo3bobob
o2bo2b2o2bo3bo2bo$obob2o2b2o2bobobo3bo2bo2b2o11bobo4bobo11b2o2bo2bo3bo
bobo2b2o2b2obobo$2ob2o4b2o3bo4bobo2b4o11b3o4b3o11b4o2bobo4bo3b2o4b2ob
2o$2ob2o4b2o3bo3b2obo2bo38bo2bob2o3bo3b2o4b2ob2o$9bobo2bo3b3o4bo36bo4b
3o3bo2bobo$2ob2o4b2o3bo3b2obo2bo38bo2bob2o3bo3b2o4b2ob2o$2ob2o4b2o3bo
4bobo2b4o11b3o4b3o11b4o2bobo4bo3b2o4b2ob2o$obob2o2b2o2bobobo3bo2bo2b2o
11bobo4bobo11b2o2bo2bo3bobobo2b2o2b2obobo$2bo2bo3bo2b2o2bo2bobobo3bo
11b3o4b3o11bo3bobobo2bo2b2o2bo3bo2bo$ob4ob3o2b2o2bo2bo3bo2b2o32b2o2bo
3bo2bo2b2o2b3ob4obo$2o4bo3b2obo3b2o5bob2o32b2obo5b2o3bob2o3bo4b2o$3b2o
bobo2bobo6bo3b3o34b3o3bo6bobo2bobob2o$4bobob2o4b5obobo42bobob5o4b2obob
o$4bobo10bob2obob3o13bo6bo13b3obob2obo10bobo$5b2o5b4o6b2obo13b2o6b2o
13bob2o6b4o5b2o$12bo2bobob2o6bo7b2obob2o4b2obob2o7bo6b2obobo2bo$16b2ob
o6b2o8bob2o8b2obo8b2o6bob2o$19bo16bo14bo16bo$19b2o12b2ob2o12b2ob2o12b
2o$33bobo3b3o4b3o3bobo$36b3o10b3o$38bob2o4b2obo$38bo10bo$40bo6bo$37bob
2o6b2obo$39bo8bo$34b2o16b2o$33bo2bob2o8b2obo2bo$34b2o4bo6bo4b2o$36b3o
10b3o$36bo2b3o4b3o2bo$39b3o4b3o$38b2o8b2o$35b2obo10bob2o$35b2obobo6bob
ob2o$38b2obo4bob2o$34bob2o3bo4bo3b2obo$34b2obo3b2o2b2o3bob2o!
-Matthias Merzenich

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