20-bit still life syntheses

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Jormungant
Posts: 298
Joined: May 27th, 2016, 1:01 am

Re: 20-bit still life syntheses

Post by Jormungant » August 8th, 2020, 6:22 am

Kazyan wrote:
August 8th, 2020, 12:26 am
I forgot to drink a mug of Brain Juice
... does that mean I have become addicted brain extract over the years? Wow, why is this not written on the packaging? I will be forced to close my eyes every time I take a sip now... (because... ain't stopping obviously)

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BlinkerSpawn
Posts: 1979
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: 20-bit still life syntheses

Post by BlinkerSpawn » August 8th, 2020, 5:58 pm

Kazyan wrote:
August 8th, 2020, 12:26 am
Tail to at-claw, or something. Applies to some related still lifes. I forgot to drink a mug of Brain Juice this morning; there's probably a version at 1/3 the cost.

Code: Select all

rle
As usual, some assembly required:

Code: Select all

x = 38, y = 26, rule = B3/S23
4bo$2bobo9bobo$3b2o9b2o$15bo2$9bo20bo$7bobo18b2o$8b2o19b2o$obo$b2o33bo
$bo33bo$16bo18b3o$15bobo$7bo8bobo3bo$8bo8bo3bobo$b2o3b3o11bo2bo$2b2o
17b2o$bo$8b2o7b2o$7bobo8bo10b3o$3o6bo8bob2o7bo$2bo16bo2bo7bo$bo15bobob
o$16bobobo$16bo2bo$17b2o!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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goldenratio
Posts: 268
Joined: July 26th, 2020, 10:39 pm

Re: 20-bit still life syntheses

Post by goldenratio » August 8th, 2020, 8:47 pm

Looking through all the unsynthesized ones with exactly one C1 soup (about two thirds of the way done); here are some results (that I can't complete myself):

Two reactions so messy and hard to synthesize not even the spaghetti monster can take them:

Code: Select all

x = 69, y = 83, rule = B3/S23
8$44bo$44bo$44bo2$40b3o5b3o5$23b3o2$21bo5bo24b3o$21bo5bo$21bo5bo22bo5b
o$50bo5bo$23b3o24bo5bo2$52b3o3$30b3o$16b2o12bo2bo$16b2o13bo$31bo$42bo
2bo$42b3o2$49b3o$54b2o$53bobo$53b2o6$18bo$17bobo$17bo2bo$18b2o3$30bo$
29bobo$29bobo$30bo15b2o$45bo2bo$20bo25b2o$19bobo$19bo2bo$20b2o$40bo$
39bobo$23b2o14bo2bo$22bo2bo14b2o12b2o$23b2o28bo2bo$54b2o$42b2o$42b2o9$
52b2o$51bobo$51b2o!

Code: Select all

x = 136, y = 38, rule = B3/S23
3$16b3o$113bo$14bo5bo91b3o$14bo5bo91bo2bo$14bo5bo92bobo$32bo68b3o10bo$
16b3o12b2o4bo$30b3ob3o62bo5bo23bo$30bobob2o63bo5bo6b3o13bobo$29bo2bo
25bo2bobobo2bobobo26bo5bo7b2o13bobo$23b2o5b2o78b5o14bo$23b2o11b2o15bo
4bo2bo3bo2bo3bo28b3o5b2o$36b2o72bobo$9b2o40bobobo2bo2bo3bo2bo3bo38b2o$
9b2o90bo$53bo4bo2bo3bo2bo3bo27b3o12b3o$16bo82b5o8b3o3bo$16bo9bo31bo2bo
bobo2bobobo20bo4bo4b2o5b4o3bo$2bo2bo6bo3bo8bobo64bobo2bobo4b2ob2obo2b
3o16b2o$6b2o4bo12b2o11b2o53bo3b2o4b2obo3bo21b2o$5bo6bo25b2o58bo8bo$
107b2o$81b2o25b2o$81b2o6b2o$89b2o32b2o$123b2o$28bo76b3o2b2ob3o$27bobo
75b7o2bo3bo$26bo2bo84bo2bo$27b2o73b2o2b2ob2o4bobo$105bo2bobo$106b2o!
Two more slightly more promising ones:

Code: Select all

x = 23, y = 38, rule = B3/S23
b2o$b2o5$6b2o$6b2o2$16b2o$16b2o$10b2o$9bo2bo$9bobo$9bo$7bo$8bo6$8b2o$
9bo4$10b2obo$11b2o$12bo2$14bo$10b2ob2o$11b3o$12bo!

Code: Select all

x = 50, y = 53, rule = B3/S23
4$26b2o$26b2o2$3bo$4bo$2b3o2$26bo5bo$25bobo3bobo$25bobo3bobo$26bo5bo6$
27bo$26b3o$25bob2o$24b2o2b2o$25b4o$26b3o2$32b2o$32b2o8$17bo19b3o$16bob
o18bo2bo$15bo2bo19b3o3b2o$16b2o22bo3b2o$20b2o$19bo2bo$19bobo$14b3o3bo
3$11b2o10b2o$11b2o9bo2bo$23bobo$24bo!
Some actually promising reactions, some posted on Discord:

Code: Select all

x = 40, y = 40, rule = B3/S23
5$32bo$28b2o2bo$27bo5bo$26b2o2bobo$27b2o3bo$28b3o5$25bob2o$25bo2bo$25b
2o$26bo5b2o$32b2o15$7b3o$9bo$8bo!

Code: Select all

x = 73, y = 21, rule = B3/S23
2$54b2o2$52bo3bo$28bo2bobobo15bo3bo$3b2o46bo$3b2o18bo4bo2bo23bo3b3o5bo
$56bo3bobo3bo$21bobobo2bo2bobobo15bo10bo2bo2bo$8b3o40bo6b2ob2o2bo$8bob
o12bo4bo2bo3bo15bobo2bo3bo5bobo$8bobo40b2o5b3o6bo$28bo2bobobo2$66b2o$
66b2o!

Code: Select all

x = 24, y = 18, rule = B3/S23
16b3o$16bo$16b2o$9b2o$9bobo$10bo2$3b2o$2bo2bo$5bo$2b3o3$6b2o$6bobo$6bo
b2o$7b2o!
EDIT: One more:

Code: Select all

x = 82, y = 24, rule = B3/S23
2$59b3o$9b2o48bo2bo6bo$8bo53bo5b3o$9bobo49b2o5b3o$10bo23bo2bobobo29b2o
$69bobo$29bo4bo6bo25bo$8b3o55b2o$7bo2bo16bobobo2bo6bo23b2obo$7bob2o53b
2o2b2ob2o$8bo7bo12bo4bo6bo23bobo2b4o$16bo48bo8bo$15bobo16bo6bo32b3o2b
3o$16bo52bobo3b2o$16bo52bo4b2obo$70bobo$71bo4$73b2o$73b2o!
Last edited by goldenratio on August 8th, 2020, 10:14 pm, edited 1 time in total.
Don't know, I don't really want to be called by my current username anymore.
Anyways the old gun:

Code: Select all

x = 5, y = 7, rule = B2n3-cq4e5y6c7c/S23-k
2o$2o3$3bo$3b2o$3bo!

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Kazyan
Posts: 1074
Joined: February 6th, 2014, 11:02 pm

Re: 20-bit still life syntheses

Post by Kazyan » August 8th, 2020, 9:30 pm

Based on the one-generation predecessor of the first FSM-resistant still life:

Code: Select all

x = 39, y = 32, rule = B3/S23
35bo$35bobo$35b2o8$bo5bo10b2o$2bo2bobo9bo2bo$3o3b2o9b2obo$20b2o$7bo12b
o2b2o$7b2o12b2obo$6bobo9$9b2o$10b2o24b2o$9bo26bobo$36bo$31b2o$31bobo$
31bo!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

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goldenratio
Posts: 268
Joined: July 26th, 2020, 10:39 pm

Re: 20-bit still life syntheses

Post by goldenratio » August 9th, 2020, 2:01 pm

Finished looking through the 1-occurence objects; results:

Code: Select all

x = 46, y = 44, rule = B3/S23
8$11b3o2$9bo$9bo$9bo2$27b2o$26bobo$26b2o$26bo9$32b3o5$5b2obo$5b4o6b2o$
4bo3bo6b2o$5b3o$5b3o$7bo!

Code: Select all

x = 163, y = 60, rule = B3/S23
9$145bo$134b2o8bobo$133bo2bo6b5o$134bobo6b3obo$135bo8bob2o$142bo$27b2o
113bo$26bo2bo$27bobo93b2o21bo$28bo7b2o85b2o12b3o5b3o$36b2o97b2o4bo3b4o
$135bo13bo$135b3o4b2o5b2o$16b2o122bobo$16b2o123b3o5b2o$148b3o$146b2o3b
o$44b2o89bo3b2o5b2ob3o$38b3o3b2o29bobobo2bobobo36b3o8bobo3bobo2b2o3b2o
$38bo94bo2bo8b2o$38b3o29bo8bo6bo47b2o2b3ob2o$130b2o6bobo5bo$17bo11bo
38bobobo2bobobo6bo43b2o6bo3b3o$17bo10bobo108bobo2bo$17bo10bobo39bo8bo
6bo$29bo110bo3bo$23b2o50bobobo6bo72bo$23b2o8b2o124bo$32bo2bo104bo3bo
14bo$33b2o106b3o2$140bo$51b3o86bo14b3o$140bo3$49bo$49bo$49bo90b3o8b2o$
140bo2b2o5bo2bo$140b2o2bo6b2o$142b3o!

Code: Select all

x = 71, y = 51, rule = B3/S23
8$29b2o$28bo2bo$28b2obo$18b2o9b2o5b3o$17b2ob2o$18bo2bo$19b4o$19bob2o2$
49b2o$49b2o4$31b2o$30bo2bo$31b2o14$54bob3o3bo$53bob2ob2o2b2o$52bobo5bo
2b2o$50b2o3b4obo2b3o$59bo3bo$59bob2o$61b2o$60b2o3b2o$57b2o6b2o$57bo$
56b2obo$57bobo$58bo!

Code: Select all

x = 31, y = 37, rule = B3/S23
6$13b2o$13bobo$14bo10$14bo5bo$5bo6b2obo3bobo$5bobo4b2ob2o2bo2bo$5bo2bo
3bobo5b2o$6b2o2$14b2o$14b2o3$23b2o$23b2o!

Code: Select all

x = 37, y = 43, rule = B3/S23
6$20b2o$12bo7b2o$12bo$12bo6$3bo$3bo$3bo$14b3o$19b2o$12bo5bo2bo$12bo5bo
2bo$12bo6b2o8b2o$29b2o$15b2o$14b2o2$12bo$10bob2o4bo$9bo2bo4bobo$10b2o
4bo2bo$17b2o2$22bo$21bobo$20bo2bo$21b2o$8b2o$8b2o3$33b3o!

Code: Select all

x = 77, y = 66, rule = B3/S23
15$44b2o$44b2o6$32bobo$32b2o$33bo3$36bo$35bobo$27b2o6bobo$26bo2bo6bo$
26bobo$27bo2$23b2o$22bo2bo$22bobo$23bo$34bo8bo$33bobo6bobo$33bobo6bobo
$34bo8bo3$42b2o$12b3o27b2o2$10bo$10bo$10bo$33bo$33bo$33bo$29b2o$29b2o
2$20bo$20bo$20bo4b2o$25b2o!
There's still quite a few symmetrical objects with a lot of symmetric soups:
https://catagolue.appspot.com/object/xs ... 3123/b3s23
(also has a few C1 soups) https://catagolue.appspot.com/object/xs ... r9a4/b3s23
(also has a few C1 soups) https://catagolue.appspot.com/object/xs ... r9a4/b3s23
https://catagolue.appspot.com/object/xs ... 1074/b3s23
https://catagolue.appspot.com/object/xs ... 1641/b3s23
https://catagolue.appspot.com/object/xs ... x343/b3s23
https://catagolue.appspot.com/object/xs ... e0db/b3s23
https://catagolue.appspot.com/object/xs ... f023/b3s23
https://catagolue.appspot.com/object/xs ... 2521/b3s23
https://catagolue.appspot.com/object/xs ... 7952/b3s23
Don't know, I don't really want to be called by my current username anymore.
Anyways the old gun:

Code: Select all

x = 5, y = 7, rule = B2n3-cq4e5y6c7c/S23-k
2o$2o3$3bo$3b2o$3bo!

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Extrementhusiast
Posts: 1881
Joined: June 16th, 2009, 11:24 pm
Location: USA

Re: 20-bit still life syntheses

Post by Extrementhusiast » August 10th, 2020, 6:18 pm

BlinkerSpawn wrote:
August 8th, 2020, 5:58 pm
Kazyan wrote:
August 8th, 2020, 12:26 am
Tail to at-claw, or something. Applies to some related still lifes. I forgot to drink a mug of Brain Juice this morning; there's probably a version at 1/3 the cost.

Code: Select all

rle
As usual, some assembly required:

Code: Select all

RLE
Less assembly required:

Code: Select all

x = 38, y = 22, rule = B3/S23
obo$b2o$bo2$9bo20bobo$10bo11bo7b2o$8b3o10b2o8bo$21b2o$21bo8b3o$30bo$
31bo3b2o$35bobo$35bo$21b2o$22bo$22bob2o$23bo2bo$25b2o2$7b3o$9bo$8bo!
I Like My Heisenburps! (and others)

AGreason
Posts: 27
Joined: January 31st, 2018, 9:02 pm

Re: 20-bit still life syntheses

Post by AGreason » January 9th, 2021, 10:39 pm

Transfer search resolved 130 unsynthed strict xs20, with 534 remaining (new syntheses submitted to catagolue, at time of posting haven't been processed yet).

Updated soupcounts to include symmetric censuses, not just c1 - there are 135 remaining unsynthesized strict xs20 with at least one soup.
Attachments
xs20Implications.txt
(11.02 KiB) Downloaded 22 times
unsynthed_xs20_with_soups.txt
(2.73 KiB) Downloaded 20 times

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dvgrn
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Re: 20-bit still life syntheses

Post by dvgrn » January 9th, 2021, 10:46 pm

AGreason wrote:
January 9th, 2021, 10:39 pm
Transfer search resolved 130 unsynthed strict xs20, with 534 remaining (new syntheses submitted to catagolue, at time of posting haven't been processed yet)...
That's a smaller number than I expected. Here are the (EDIT: fixed the number) 135 apgcodes for unsynthed xs20s-with-soups in a code block (same as the attachment, just easier to look at):

Code: Select all

xs20_4a9r44r9a4 55278
xs20_mmge9icz1221 1157
xs20_ci9riiczw66 466
xs20_ciq32arzx311 335
xs20_8kiabaiczx311 325
xs20_g0bq2kozd543 324
xs20_oi6o8brzx321 275
xs20_3jgf9icz1221 270
xs20_gs2araiczw32 256
xs20_64kjqicz0346 214
xs20_gs29raiczw32 201
xs20_64k6picz2543 145
xs20_4a9r2qkzx643 126
xs20_c4gf9gzx9f023 124
xs20_6ikm9icz1243 107
xs20_4a9r44ria4 51
xs20_5b8f1eozx311 43
xs20_4aabaik8zw253 42
xs20_3lkiarz1243 40
xs20_4s3ia4z17871 39
xs20_okkr2qkz66 38
xs20_c82t1eoz31221 37
xs20_kq2r4koz0343 31
xs20_ok4r9arzx32 28
xs20_0g8jr8brz23 27
xs20_354mk2sgzw643 22
xs20_cp3sj96z23 20
xs20_3p688gz178b5 19
xs20_255q4oz69b41 19
xs20_gjlkaicz1243 16
xs20_4aq4lb8ozw1221 15
xs20_3p688gz358b5 15
xs20_ca1u0mp3zw23 14
xs20_0mk4ria4z1243 14
xs20_0cq1dqz321w123 14
xs20_0ml5a4oz124311 12
xs20_cieg6piczw23 12
xs20_64kjaicz2543 11
xs20_2eg5r8brzx1 11
xs20_ciar94ozw6221 8
xs20_0cp3sj96z32 8
xs20_kq2rkk8z1226 8
xs20_32qj8r9ic 7
xs20_8k9bkk8gzw11641 7
xs20_c4go3dg628czy111 7
xs20_cik6picz643 6
xs20_gbhmkicz1226 6
xs20_354mk2sgzw343 6
xs20_4aab8n96zx32 5
xs20_6s178bdzw113 5
xs20_8kid2cggzx3543 5
xs20_8o6hraicz23 5
xs20_4s39mkiczw121 5
xs20_255q88r9ic 4
xs20_3iabaik8zw113 4
xs20_64km9icz03452 4
xs20_mkidik8z1243 4
xs20_64km9icz2543 4
xs20_g842s53zc95d 4
xs20_qm0u1acz6221 4
xs20_0cahmk13z253w1 4
xs20_255q88raic 3
xs20_4a9r2qkzw643 3
xs20_5b8fhik8zx32 3
xs20_6ik6picz1243 3
xs20_ciaj2arzx321 3
xs20_ckggraicz066 3
xs20_64kjaicz03452 3
xs20_4a9ba96z3213 3
xs20_0j5c2koz12553 2
xs20_314u08oz259611 2
xs20_31e4h3zx11d96 2
xs20_4aar2qkzx643 2
xs20_4ap3s4gozw1243 2
xs20_8ehmkk8z3146 2
xs20_8kiajkk8zw343 2
xs20_c89fgbrzw32 2
xs20_08u1dqz32w1226 2
xs20_ca2jaicz3123 2
xs20_gs2qjkcz1226 2
xs20_255q8ie0db 2
xs20_raik8a6z6421 2
xs20_6426gd3og8ozy011 2
xs20_03h4mkicz47011 1
xs20_062s53z178b5 1
xs20_0695mge2z3113 1
xs20_09v0ckz320f9 1
xs20_0caajkczca23 1
xs20_0g0si2bkk8z343 1
xs20_0kq2raa4z643 1
xs20_2l2c84oz129d11 1
xs20_31e862sgzw3113 1
xs20_32qbahe8zx121 1
xs20_354q4oz69b41 1
xs20_358eharz0321 1
xs20_3lk2qkz345201 1
xs20_3p6426z116952 1
xs20_4a9mkkoz03146 1
xs20_4a9r44raa4 1
xs20_4aabi2sgzx343 1
xs20_642tik8z4aa6 1
xs20_64kjaik8zw1243 1
xs20_64kjaik8zx343 1
xs20_64kr2qkzx343 1
xs20_64pbahe8zx121 1
xs20_696o6ioz02543 1
xs20_696o8zw122bkk8 1
xs20_696o8zwanga6 1
xs20_69abkk8z3213 1
xs20_69ar2pmzw23 1
xs20_69eg8oz259a6 1
xs20_6ao2t2kozw123 1
xs20_6ik6picz343 1
xs20_8eh7ojdz023 1
xs20_8eharia4z023 1
xs20_8kihla8czx643 1
xs20_8kk6p2sgzw343 1
xs20_8o696z23ci96 1
xs20_8u1e8gzpi611 1
xs20_8u1tik8z1226 1
xs20_9v0sik8z1226 1
xs20_c93s3pmzw23 1
xs20_cp3qik8z1226 1
xs20_g8ehikmz11x146 1
xs20_gs2ib8oz0c871 1
xs20_mkid9icz1221 1
xs20_mmge9icz1w32 1
xs20_o86p3zw5b871 1
xs20_ok2130fpzx6421 1
xs20_8kid92sgzx343 1
xs20_4a96o8zxc96246 1
xs20_4aar2qkzw643 1
xs20_642tik8zca26 1
xs20_gs29ra96zw32 1
xs20_8kiaj2aczx346 1 (DONE in 22 gliders)
Here's the other attached file, the "Implications":

Code: Select all

xs20_696o8zg4f023z11 implies xs20_3123qi4djo, xs20_g88m49bo8goz011, xs20_08ob94mp3z32, xs20_0696o8zog4f023, xs20_gg0s93zpk69c
xs20_0696o8zog4f023 implies xs20_3123qi4djo, xs20_696o8zg4f023z11, xs20_g88m49bo8goz011, xs20_08ob94mp3z32, xs20_gg0s93zpk69c
xs20_g88m49bo8goz011 implies xs20_3123qi4djo, xs20_696o8zg4f023z11, xs20_08ob94mp3z32, xs20_0696o8zog4f023, xs20_gg0s93zpk69c
xs20_628s1raa4zw23 implies xs20_32ar1s826zx121, xs20_628s1raa4z032, xs20_31km2og4czx343, xs20_4aar1s826zx121
xs20_4aar1s826zx121 implies xs20_32ar1s826zx121, xs20_628s1raa4z032, xs20_31km2og4czx343, xs20_628s1raa4zw23
xs20_32ar1s826zx121 implies xs20_628s1raa4z032, xs20_31km2og4czx343, xs20_628s1raa4zw23, xs20_4aar1s826zx121
xs20_31e808oz31139c implies xs20_g0j9c826z11wdb, xs20_o8g39czwc93113, xs20_g0j9c88cz11wdb, xs20_o8g39czwc93146
xs20_39s0ggz254cjo implies xs20_35s2ibp46zx1, xs20_08obi2s53z32x1, xs20_3p64k8z110nq
xs20_08obi2s53z32x1 implies xs20_35s2ibp46zx1, xs20_39s0ggz254cjo, xs20_3p64k8z110nq
xs20_4a9ngc48czx146 implies xs20_ca96o8gozwbd, xs20_4a9ngc4gozx146, xs20_4a9ngc4gozx56
xs20_4s39c84czwdb implies xs20_4s39c826zwdb, xs20_0j9cz23c93123, xs20_0j9cz23c93146
xs20_0g9f0s4zpi611 implies xs20_0g9f0s4z1qm11, xs20_0j9c0s4z1qm11, xs20_0j9c0s4zpi611
xs20_8kiajkk8zw343 implies xs20_64km92sgzx343, xs20_64kjaik8zx343, xs20_31km92sgzx343
xs20_0j9cz23c93146 implies xs20_4s39c826zwdb, xs20_0j9cz23c93123, xs20_4s39c84czwdb
xs20_08obipb8oz32 implies xs20_32qj9qj4c, xs20_ck0fpz1107io, xs20_3123q9jq23
xs20_3p64k8z110nq implies xs20_35s2ibp46zx1, xs20_39s0ggz254cjo, xs20_08obi2s53z32x1
xs20_4a9ngc4gozx56 implies xs20_ca96o8gozwbd, xs20_4a9ngc48czx146, xs20_4a9ngc4gozx146
xs20_642tik8zca26 implies xs20_642tik8z062ac, xs20_642tik8z06aa4, xs20_642tik8z4aa6
xs20_4s39c826zwdb implies xs20_0j9cz23c93123, xs20_0j9cz23c93146, xs20_4s39c84czwdb
xs20_642tik8z4aa6 implies xs20_642tik8z062ac, xs20_642tik8zca26, xs20_642tik8z06aa4
xs20_ck0fpz1107io implies xs20_08obipb8oz32, xs20_32qj9qj4c, xs20_3123q9jq23
xs20_4s079oz110nq implies xs20_4s079oz110728c, xs20_39s0ggz3is074, xs20_4s079oz39c32
xs20_08o0ek13z320f9 implies xs20_0cp3ckz320f9, xs20_0g9fg4czoi7011, xs20_bt0ggz1iu146
xs20_0j9cz23c93123 implies xs20_4s39c826zwdb, xs20_0j9cz23c93146, xs20_4s39c84czwdb
xs20_4s079oz110728c implies xs20_39s0ggz3is074, xs20_4s079oz110nq, xs20_4s079oz39c32
xs20_g0j9c88cz11wdb implies xs20_g0j9c826z11wdb, xs20_o8g39czwc93113, xs20_o8g39czwc93146
xs20_0g9fg4czoi7011 implies xs20_08o0ek13z320f9, xs20_0cp3ckz320f9, xs20_bt0ggz1iu146
xs20_39s0ggz3is074 implies xs20_4s079oz110nq, xs20_4s079oz110728c, xs20_4s079oz39c32
xs20_0g9f0s4z1qm11 implies xs20_0j9c0s4z1qm11, xs20_0j9c0s4zpi611, xs20_0g9f0s4zpi611
xs20_642tik8z06aa4 implies xs20_642tik8z062ac, xs20_642tik8zca26, xs20_642tik8z4aa6
xs20_3123q9jq23 implies xs20_08obipb8oz32, xs20_32qj9qj4c, xs20_ck0fpz1107io
xs20_4a9ngc4gozx146 implies xs20_ca96o8gozwbd, xs20_4a9ngc48czx146, xs20_4a9ngc4gozx56
xs20_o8g39czwc93113 implies xs20_g0j9c826z11wdb, xs20_g0j9c88cz11wdb, xs20_o8g39czwc93146
xs20_642tik8z062ac implies xs20_642tik8zca26, xs20_642tik8z06aa4, xs20_642tik8z4aa6
xs20_bt0ggz1iu146 implies xs20_08o0ek13z320f9, xs20_0cp3ckz320f9, xs20_0g9fg4czoi7011
xs20_ca96o8gozwbd implies xs20_4a9ngc48czx146, xs20_4a9ngc4gozx146, xs20_4a9ngc4gozx56
xs20_6ik6picz343 implies xs20_6ik6picz643, xs20_cik6picz643
xs20_6ik6picz643 implies xs20_cik6picz643, xs20_6ik6picz343
xs20_c4go3dg628czy111 implies xs20_6426gd3og8ozy011, xs20_6426gd3og4czy011
xs20_0mkhjk46z641w1 implies xs20_04s079ozc93032, xs20_4s079oz9f032
xs20_32qbahe8zx121 implies xs20_0ca96o8zc93121, xs20_31kmk2sgzw1243
xs20_32hv0bdz3201 implies xs20_32hv0bdz0641, xs20_32hv0bdzw65
xs20_4s079oz9f032 implies xs20_0mkhjk46z641w1, xs20_04s079ozc93032
xs20_314u08oz035871 implies xs20_g8ehacz110nq, xs20_39s0ggz6ahe21
xs20_64kb9k8a6zx121 implies xs20_g84o79ozc9521, xs20_4al5q4gozx1074
xs20_c9b4k8gzw178d implies xs20_039eg8gz39d221, xs20_069eg8gz39d221
xs20_03p64k8zc93032 implies xs20_g8ehikmz11x146, xs20_35s2ibq23zx1
xs20_ml5a4z101139c implies xs20_0gt38n96z641, xs20_gt38n96z65
xs20_32hv0bdz0641 implies xs20_32hv0bdzw65, xs20_32hv0bdz3201
xs20_g8ehacz110nq implies xs20_314u08oz035871, xs20_39s0ggz6ahe21
xs20_g8ehikmz11x146 implies xs20_03p64k8zc93032, xs20_35s2ibq23zx1
xs20_35s2ibq23zx1 implies xs20_03p64k8zc93032, xs20_g8ehikmz11x146
xs20_wc9jzj9he21z01 implies xs20_gil68oz9k871, xs20_wdbgzj9he21z01
xs20_04s0v9zc93w23 implies xs20_4s0v9zdbw23, xs20_09v0s4z32w3146
xs20_g88m9a4z110nq implies xs20_314u08oz259611, xs20_g88m9a4z1107io
xs20_04a5lmz3113421 implies xs20_0ml5a4oz124311, xs20_1784kmz3113421
xs20_3123qi4djo implies xs20_gg0s93zpk69c, xs20_08ob94mp3z32
xs20_32hv0bdzw65 implies xs20_32hv0bdz0641, xs20_32hv0bdz3201
xs20_314u08oz259611 implies xs20_g88m9a4z1107io, xs20_g88m9a4z110nq
xs20_08ob94mp3z32 implies xs20_3123qi4djo, xs20_gg0s93zpk69c
xs20_db0ggz39m943 implies xs20_c93ggz39m943, xs20_3pajc4ozw2521
xs20_04s079ozc93032 implies xs20_0mkhjk46z641w1, xs20_4s079oz9f032
xs20_09v0s4z32w3146 implies xs20_04s0v9zc93w23, xs20_4s0v9zdbw23
xs20_0gt38n96z641 implies xs20_ml5a4z101139c, xs20_gt38n96z65
xs20_wdbgzj9he21z01 implies xs20_gil68oz9k871, xs20_wc9jzj9he21z01
xs20_g88m9a4z1107io implies xs20_314u08oz259611, xs20_g88m9a4z110nq
xs20_6426gd3og4czy011 implies xs20_6426gd3og8ozy011, xs20_c4go3dg628czy111
xs20_39s0ggz6ahe21 implies xs20_g8ehacz110nq, xs20_314u08oz035871
xs20_6426gd3og8ozy011 implies xs20_c4go3dg628czy111, xs20_6426gd3og4czy011
xs20_gt38n96z65 implies xs20_ml5a4z101139c, xs20_0gt38n96z641
xs20_4aab4k8z0bd11 implies xs20_db88gz311mq1, xs20_db88gz3116ip
xs20_31e808oz64139c implies xs20_g0j9c826z11wdb, xs20_o8g39czwc93146
xs20_4s0v9zdbw23 implies xs20_04s0v9zc93w23, xs20_09v0s4z32w3146
xs20_gg0s93zpk69c implies xs20_3123qi4djo, xs20_08ob94mp3z32
xs20_c93ggz39m943 implies xs20_db0ggz39m943, xs20_3pajc4ozw2521
xs20_0dbgz4aila23 implies xs20_0c9jz4aila23
xs20_6ao44ria4z32 implies xs20_6ao44raa4z32
xs20_39s0s2kozw1243 implies xs20_4a9b4k8zc9311
xs20_39m88b9czx123 implies xs20_641v0kcz25521
xs20_4aar2qkzx643 implies xs20_0kq2raa4z643
xs20_039eg8gz39d221 implies xs20_069eg8gz39d221
xs20_255q88r9ic implies xs20_062s53z358b5
xs20_o97o4koz0c93 implies xs20_o97o4kozwdb
xs20_caik5b8ozw56 implies xs20_caik5b8ozw146
xs20_64km92sgzx343 implies xs20_31km92sgzx343
xs20_39s0s2sgzw1243 implies xs20_4aab4k8zc9311
xs20_ok21eozx25aa6 implies xs20_ok21eozw8e1226
xs20_g0bdggoz11o9a4 implies xs20_g39cggoz11o9a4
xs20_6ikm9icz1243 implies xs20_0gs2tik8z12452
xs20_c9j08oz358b5 implies xs20_cahdagzbdw11
xs20_32qb1s826zx121 implies xs20_31km2og4czw1243
xs20_354mk2sgzw643 implies xs20_354mk2sgzw343
xs20_0c9jz624jq23 implies xs20_0dbgz624jq23
xs20_4a96o8zxc96246 implies xs20_3146p3zx116952
xs20_31ekhjzw641023 implies xs20_c48c9jzw641346
xs20_o8g39czwc93146 implies xs20_g0j9c826z11wdb
xs20_o86p3zw5b871 implies xs20_3pa4ozx5b871
xs20_3146p3z259611 implies xs20_3p6426z116952
xs20_4a9r44r9a4 implies xs20_4a9r44raa4
xs20_0g9f0kcz1qm11 implies xs20_0g9f0kczpi611
xs20_o97o4kozwdb implies xs20_o97o4koz0c93
xs20_rhaczwc93123 implies xs20_rhaczwc93146
xs20_raik8a6z6421 implies xs20_rhacga6z6221
xs20_069eg8gz39d221 implies xs20_039eg8gz39d221
xs20_0j9c0s4zpi611 implies xs20_0j9c0s4z1qm11
xs20_09v0j9cz32w32 implies xs20_mkhjk46z1w146
xs20_0dbgz624jq23 implies xs20_0c9jz624jq23
xs20_pf0ckzw9f023 implies xs20_3pc0ckzx9f023
xs20_641v0kcz25521 implies xs20_39m88b9czx123
xs20_69eg8oz259a6 implies xs20_39eg8oz259a6
xs20_3lka96z320123 implies xs20_3lka96z12453
xs20_c4o0ep3z65032 implies xs20_0cp3cj96z321
xs20_cq2rkk8z1226 implies xs20_kq2rkk8z1226
xs20_08o0e93z6ahe2 implies xs20_08o0e96z6ahe2
xs20_gjlkaicz1w146 implies xs20_gjlkaicz1w56
xs20_0kq2km96z1243 implies xs20_0kq2km93z1243
xs20_caik5b8ozw146 implies xs20_caik5b8ozw56
xs20_db88gz3116ip implies xs20_db88gz311mq1
xs20_g39cggoz11o9a4 implies xs20_g0bdggoz11o9a4
xs20_ci9d2kozwc93 implies xs20_ci9d2kozxdb
xs20_c9j0vh8oz023 implies xs20_c9j0vh23z023
xs20_0ggc9jz122cja4 implies xs20_0gbdggz4ajc221
xs20_g84o79ozc9521 implies xs20_4al5q4gozx1074
xs20_cp30j5oz012521 implies xs20_ca23ckz3146221
xs20_4aab4k8zc9311 implies xs20_39s0s2sgzw1243
xs20_0j9c0s4z1qm11 implies xs20_0j9c0s4zpi611
xs20_354mk2sgzw343 implies xs20_354mk2sgzw643
xs20_3iabaik8zw113 implies xs20_8kiabaiczx311
xs20_9v0sik8z1226 implies xs20_8u1tik8z1226
xs20_db88gz311mq1 implies xs20_db88gz3116ip
xs20_c48q5la8ozx121 implies xs20_628q5la8ozx121
xs20_31kmk2sgzw1243 implies xs20_0ca96o8zc93121
xs20_31kmk2sgz01243 implies xs20_31ke0e9a4zx113
xs20_0g9f0kczpi611 implies xs20_0g9f0kcz1qm11
xs20_rhaczwc93146 implies xs20_rhaczwc93123
xs20_g842s53zc95d implies xs20_g842t52zc95d
xs20_9fg4q4gozw1243 implies xs20_8eh5q4gozw1243
xs20_o86p3zw5b853 implies xs20_3pa4ozx5b853
xs20_0gbdggz4ajc221 implies xs20_0ggc9jz122cja4
xs20_c9j0vh23z023 implies xs20_c9j0vh8oz023
xs20_og8e13zwc93146 implies xs20_og8e13zwc93123
xs20_255q88raic implies xs20_062s53z178b5
xs20_695mgdbzx65 implies xs20_695mgdbzw641
xs20_39eg8oz259a6 implies xs20_69eg8oz259a6
xs20_64kjaik8zw1243 implies xs20_64kjaik8zx343
xs20_8u1e8gz1qm11 implies xs20_8u1e8gzpi611
xs20_695mgdbzw641 implies xs20_695mgdbzx65
xs20_0c48al96z64132 implies xs20_0o8gkai3zc82641
xs20_0i5d2koz12553 implies xs20_0j5c2koz12553
xs20_4a9b4k8zc9311 implies xs20_39s0s2kozw1243
xs20_3146p3zx17871 implies xs20_6246p3zx17871
xs20_8ko0e9iczxbd implies xs20_8ko0e9iczx39c
xs20_628q5la8ozx121 implies xs20_c48q5la8ozx121
xs20_08u1dqz32w1226 implies xs20_1784c84ozwc9311
xs20_1784c84ozwc9311 implies xs20_08u1dqz32w1226
xs20_1784k8gz31138d implies xs20_1784k8gz311bc1
xs20_03h4mkicz47011 implies xs20_32qk0og4czx3452
xs20_ck3q9b4kozw1 implies xs20_0kc3pa4zc9521
xs20_ci9d2kozxdb implies xs20_ci9d2kozwc93
xs20_g842t52zc95d implies xs20_g842s53zc95d
xs20_0cahmk46z253w1 implies xs20_0cahmk13z253w1
xs20_4a9r2qkzx643 implies xs20_0kq2r9a4z643
xs20_3146p3zx116952 implies xs20_4a96o8zxc96246
xs20_4a9r44ria4 implies xs20_4a9r44raa4
xs20_31ke0e9a4zx113 implies xs20_31kmk2sgz01243
xs20_0j5c2koz12553 implies xs20_0i5d2koz12553
xs20_8u1e8gzpi611 implies xs20_8u1e8gz1qm11
xs20_3146p3zx17853 implies xs20_6246p3zx17853
xs20_255q4oz69b41 implies xs20_354q4oz69b41
xs20_0o8gkai3zc82641 implies xs20_0c48al96z64132
xs20_g0j9c826z11wdb implies xs20_o8g39czwc93146
xs20_og8e13zwc93123 implies xs20_og8e13zwc93146
xs20_3586p2sgzx343 implies xs20_0o4idicz11696
xs20_6246p3zx17871 implies xs20_3146p3zx17871
xs20_g8kkr2qkz056 implies xs20_okkr2qkz66
xs20_64kjaik8z01243 implies xs20_8kiajk4ozx3421
xs20_08o0e96z6ahe2 implies xs20_08o0e93z6ahe2
xs20_32qk0og4czx3452 implies xs20_03h4mkicz47011
xs20_cahdagzbdw11 implies xs20_c9j08oz358b5
xs20_0c9jz4aila23 implies xs20_0dbgz4aila23
xs20_6246p3zx17853 implies xs20_3146p3zx17853
xs20_8ko0e9iczx39c implies xs20_8ko0e9iczxbd
xs20_0ca96o8zc93121 implies xs20_31kmk2sgzw1243
xs20_354q4oz69b41 implies xs20_255q4oz69b41
xs20_8eh5q4gozw1243 implies xs20_9fg4q4gozw1243
xs20_0kq2km93z1243 implies xs20_0kq2km96z1243
xs20_6ik6picz1243 implies xs20_0gs2dik8z12453
xs20_6ao44r9a4z32 implies xs20_6ao44raa4z32
xs20_3586picz3113 implies xs20_0cidi4oz622611
xs20_cp3sj96z23 implies xs20_0cp3sj96z32
There's certainly some tasty soup out there waiting to be sampled. Here's a final step implied by the one soup for the last still life, xs20_8kiaj2aczx346. Anyone want to improve on the cleanup, or maybe synthesize from a later stage?

Code: Select all

x = 120, y = 137, rule = B3/S23
21bo$22b2o$13bo7b2o$14b2o$13b2o19$o$b2o$2o29$68bobo$68b2o$69bo2$60bobo
$61b2o$61bo2$70bo$69bobo$57bo12bo$58b2o$57b2o$79b2o$79b2o3$56b2o$55bo
2bo$55bobo12b2o$56bo13b2o7$67b2o$53b2o12b2o$52bo2bo3b2o$53b2o4b2o32$
117b3o$117bo$118bo16$98b3o$98bo$99bo!

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Kazyan
Posts: 1074
Joined: February 6th, 2014, 11:02 pm

Re: 20-bit still life syntheses

Post by Kazyan » January 9th, 2021, 11:46 pm

Here's a solution for the top implication:

Code: Select all

x = 65, y = 71, rule = B3/S23
bo$2bo$3o57bobo$60b2o$61bo3$62bo$62bobo$62b2o9$26bo$27bo$25b3o4$28bo$
29bo$27b3o18bo$43b2ob2o$42bobo2b2o$44bo3$45b2o$45bo2bo$46b3o$28bo20b2o
$o2bo24b2o18bo2bo$4bo22bobo19b2o$o3bo$b4o2$36bo$37b2o$36b2o2$56bobo$
56b2o$57bo12$36b3o$38bo$37bo7$16b3o$18bo$17bo!
Tanner Jacobi
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User avatar
calcyman
Posts: 2370
Joined: June 1st, 2009, 4:32 pm

Re: 20-bit still life syntheses

Post by calcyman » January 10th, 2021, 10:28 am

dvgrn wrote:
January 9th, 2021, 10:46 pm
AGreason wrote:
January 9th, 2021, 10:39 pm
Transfer search resolved 130 unsynthed strict xs20, with 534 remaining (new syntheses submitted to catagolue, at time of posting haven't been processed yet)...
That's a smaller number than I expected. Here are the 130 apgcodes for unsynthed xs20s in a code block (same as the attachment, just easier to look at):
Is there some confusion here? 130 is the number that Alex has just synthesised; 534 (now 533) is the number still unsynthesised on Catagolue.

EDIT: the list seems to be 'unsynthesised SLs that have at least one soup', and the number is 135 rather than 130.
What do you do with ill crystallographers? Take them to the mono-clinic!

MathAndCode
Posts: 3825
Joined: August 31st, 2020, 5:58 pm

Re: 20-bit still life syntheses

Post by MathAndCode » January 10th, 2021, 1:45 pm

dvgrn wrote:
January 9th, 2021, 10:46 pm
There's certainly some tasty soup out there waiting to be sampled. Here's a final step implied by the one soup for the last still life, xs20_8kiaj2aczx346. Anyone want to improve on the cleanup, or maybe synthesize from a later stage?
The version on the right might be slightly cheaper, depending on how the common objects pair up in terms of three-glider syntheses of constellations.

Code: Select all

x = 119, y = 47, rule = B3/S23
16bobo$16b2o$17bo2$8bobo95bobo$9b2o95b2o$9bo97bo2$18bo79bobo$17bobo79b
2o$5bo12bo80bo$6b2o$5b2o101bo$27b2o78bobo$27b2o79bo$94bobo$95b2o$4b2o
89bo21b2o$3bo2bo110b2o$3bobo12b2o$4bo13b2o$94b2o$93bo2bo$93bobo$94bo3$
15b2o$b2o12b2o$o2bo3b2o$b2o4b2o2$91b2o$90bo2bo3b2o$91b2o4b2o2$115b2o$
115bobo$115bo3$115b2o$114b2o$116bo$93b2o$94b2o$93bo!
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

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dvgrn
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Re: 20-bit still life syntheses

Post by dvgrn » January 11th, 2021, 2:38 pm

Here's xs20_kq2rkk8z1226 in 0.5 gliders per bit, from the last of the 8 available soups (I checked G1 first):

Code: Select all

x = 51, y = 53, rule = B3/S23
41bo$40bo$40b3o$18bo$19bo$17b3o4$41bo$39b2o$40b2o6bo$48bobo$48b2o6$9bo
$10b2o$9b2o3$26bo$25bo$25b3o4$36b2o$36bobo$36bo2$45b2o$45bobo$45bo3$
14b2o$13bobo$15bo9$3o$2bo$bo!
This was a good reminder to sample all of the soups before diving in to research any of them. Several of the earlier reactions were solvable, but this one was probably cheaper than all the others by a factor of two.

There might still be a way to shave off a glider or two from this recipe. How common are 3G block+pi combinations with specific offsets? A version with slightly slower cleanup was already submitted to the antimagical box, so it would be nice to get this version down to 9G.

EDIT: There were four ways to make one of the pi+block combinations, and just one way to make the other one. But it was the singleton option that worked. Wouldn't have bet that the pieces would stay out of each other's way:

Code: Select all

#C 9G xs20_kq2rkk8z1226
x = 81, y = 72, rule = B3/S23
78bo$78bobo$78b2o$62bo$61bo$61b3o6$63bobo$63b2o$13bobo8bobo37bo$14b2o
9b2o$14bo10bo12$39bo$38bo$38b3o13$39b2o$38b2o$40bo9$75b2o$75bobo$75bo
14$3o$2bo$bo!

ENORMOUS_NAME
Posts: 245
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Location: idk

Re: 20-bit still life syntheses

Post by ENORMOUS_NAME » January 11th, 2021, 2:39 pm

help idk how to synthesize this r pentomino

Code: Select all

x = 35, y = 25, rule = LifeHistory
9.A$2.A5.A.A$2A.2A3.A.A14.A$2.A6.A9.A5.A$17.A.A5.A$17.3A6$14.2A$13.A.
A$13.2A$24.D$23.2D3.A$22.2A2.2A$21.A.AD2.2A$23.A4.D$28.D$32.2A$32.A.A
$25.2A5.A$26.2A$25.A!
viewtopic.php?f=11&t=1971&p=111934#p111934

Code: Select all

x = 3, y = 3, rule = B34eny5en/S23-a4iy5e6c
3o$o$2o!


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dvgrn
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Re: 20-bit still life syntheses

Post by dvgrn » January 11th, 2021, 3:09 pm

ENORMOUS_NAME wrote:
January 11th, 2021, 2:39 pm
help idk how to synthesize this r pentomino...
Make it out of glider + beehive, maybe? Then just have to synthesize the ship after the glider goes by:

Code: Select all

x = 45, y = 32, rule = LifeHistory
5.A$6.A$4.3A$15.A$8.D5.A.A$6.2D.2D3.A.A6.2A6.A$8.D6.A6.A2.A5.A$23.2AD
5.A$3A20.3D$2.A$.A2$18.2A$19.2A$18.A.2D16.A$19.D.D14.2A$19.2D16.2A$
30.D$29.2D$28.2D$29.2D$34.D$34.D$24.2A$23.A.A$25.A2$42.2A$42.A.A$27.
2A13.A$28.2A$27.A!
Or see if any of these 3G options can be made to work:

Code: Select all

x = 4088, y = 1625, rule = B3/S23
15bo75bo75bo72bo74bo4bo69bo77bo74bo71bo78bo74bo70bo74bo74bo74bo82bo66b
o6bobo71bobo71bobo69bo75bo73bo74bo74bo77bo71bo74bo74bo74bo74bo74bo74bo
74bo79bo69bo75bo74bo74bo74bo79bobo67bo70bobo76bobo75bobo69bobo72bobo
72bobo72bobo72bobo73bobo71bobo72bobo72bobo69bo77bobo$16bo2b2o70bobo73b
obo71bo74bo3bobo68bo77bo74bo71bo78bo74bo70bo74bo74bo3bobo68bo73bo5b2o
68bo5b2o68bo3b2o72b2o71bo75bo73bo74bo74bo77bo71bo3bo70bo74bo74bo74bo
74bo74bo74bo79bo69bo75bo74bo74bo74bo73bo4b2o69bo70b2o76b2o76b2o70b2o
73b2o73b2o73b2o73b2o74b2o72b2o73b2o73b2o71bo76b2o$14b3o2bobo69b2o74b2o
70b3o72b3o3b2o67b3o75b3o72b3o69b3o76b3o72b3o68b3o72b3o72b3o3b2o67b3o
74bo5b2o65b3o6bo69bo3bo69bo3bo69b3o3b2o68b3o71b3o72b3o72b3o75b3o69b3o
2bo69b3o2bobo67b3o72b3o72b3o72b3o72b3o72b3o77b3o67b3o73b3o72b3o72b3o
72b3o74bo4bo67b3o70bo4bobo71bo77bo71bo74bo74bo74bo74bo75bo73bo74bo74bo
69b3o77bo3bo$19bo145bo455b2o373bo73bo68b3o149b3o74bo77b2o146b2o300b3o
72b2o74bo224bo76bo297b2o293b3o150b2o68bo77bo71bo74bo74bo74bo74bo75bo
73bo74bo74bo149bo6bo$90bo75bo454bobo65b3o154b3o221bobo293b3o79bo145bob
o375bo73bo74bo150bobo72b2o297b2o72bo76bo73b3o222bo69bo77bo71bo74bo74bo
74bo74bo75bo73bo74bo74bo77bobo69bo5b3o$91bo72b3o229bo224bo69bo154bo
223b2o368bo75bo73bo3bo70bo74bo77bo71bo74bo74bo5b3o66bo5bobo66bo74bo6b
2o66bo7b2o65bo75bo3bo69bo74bo7bo66bo4b2o68bo6b2o66bo5bo143bo76bo71b3o
75b3o69b3o72b3o72b3o72b3o72b3o73b3o71b3o72b3o72b3o77b2o68b3o$15b3o71b
3o148b3o72b3o72b3o3bobo65b3o2b3o72b3o69b3o71bo4b3o72b3o68b3o3bo68b3o
72b3o72b3o147b3o71bo149b2o74b2o72b2o73b2o2bobo68b2o76b2o70b2o73b2o73b
2o73b2o4b2o67b2o73b2o73b2o73b2o72bobo3b2o68b2o73b2o73b2o2bobo68b2o4bob
o66b2o5bo67bo74b2o76bo225b3o76b2o595bo$17bo224bo74bo74bo3b2o68bo4bo74b
o71bo78bo67bo6bo70bo74bo74bo74bo72b3o74bo71b2o73bo73bobo73bobo71bobo
72bobo2b2o68bobo75bobo69bobo72bobo72bobo72bobo72bobo72bobo72bobo72bobo
73b2o2bobo67bobo72bobo72bobo72bobo72bobo73b2o72bobo74b3o227bo75b2o71b
2o75b2o442bo$16bo224bo74bo74bo73bo4bo68b2o4bo71bo78bo68b2o4bo70bo74bo
74bo74bo75bo73bo71bobo73b2o303bo902b3o363bobo225bo71b3o78bo78bo69b2o
76bobo139b3o73b2o77bobo145bo$165b3o76b2o294b2o222bobo375bo221bobo377b
3o450bo225b2o148bo445bo146b2o73bo229bo75bo71b2o68bo74bobo77b2o72b3o69b
3o$90b3o74bo75b2o294bo381b2o592bo228bo69b2o380b2o224b2o150bo443b2o146b
obo71bo377b2o70bo75bo78bo74bo$92bo73bo78bo674b2o593b2o228bo69b2o379bob
o225bo593bobo599bo298bo$91bo830bo591bobo297bo62$15bo79bo69bobo74bo72bo
77bo75bo70bo78bo75bo74bo69bo74bo74bo74bo74bo74bo74bo74bo74bo74bo77bo
74bo74bo74bo74bo72bo83bo73bo68bo74bo74bo74bo74bo74bo74bo80bo68bo74bo
70bobo76bo77bobo73bo68bo74bo74bo74bo77bo75bo70bo78b2o69bo77bo77bobo75b
o$16bo72b2o5bo68b2o76bo72bo77bo72b2o72bo78bo75bo74bo69bo74bo74bo74bo
74b2o73bo74bo74bo74bo74bo77bo74bo3b2o69bo74bo74bo69bobo81b2o74bobo67bo
74bo74bo74bo74bo74bo74bo73bo4bo70bo3bobo68bo70b2o5bo71bo76b2o73bo70bo
74bo74bo74bo77bo73bo72bo76b2o71bo75bo78b2o75bo$14b3o2bo70b2o2b3o2bo66b
o74b3o2bo67b3o2bo72b3o2bo70b2o69b3o2bo73b3o2bo70b3o2bo69b3o2bo64b3o2bo
69b3o2bo69b3o2bo69b3o2bo70b2o72b3o2bo69b3o2bo69b3o2bo69b3o2bo69b3o2bo
72b3o7bobo62b3o2b2o68b3o72b3o3b3o66b3o4bo65b2o82b2o73b2o66b3o72b3o72b
3o72b3o3bo68b3o72b3o72b3o74bo3b3o66b3o3b2o67b3o70bo7bo68b3o71bo5bo68bo
4b3o66b3o72b3o72b3o72b3o75b3o73b3o68b3o73bo4bo68b3o71bo3b3o68bo8bo75b
3o$19bobo67bo9bobo144bobo70bobo75bobo144bobo68bo7bobo63bobo7bobo72bobo
67bobo72bobo72bobo72bobo147bobo72bobo72bobo72bobo72bobo80b2o70bo148bo
74b2o69bo73bo74bo77b2o223b2o73bo220b3o79bo146b3o143bo74bo599bo147b2o
73b2o72bo$19b2o3bo74b2o64bo80b2o71b2o76b2o145b2o70bo6b2o65b2o7b2o73b2o
68b2o73b2o73b2o73b2o148b2o73b2o73b2o73b2o73b2o4bo77bo220bo73bobo69bo
73bo74bo77b2o79bo67b2o74b2o72bobo148bo442b3o72b3o373bo74bo78b2o68b3o
146b2o73b2o74b2o$24bobo139bo222bobo222b3o73bo832b2o64b2o73b2o73b2o4bo
68b2o73b2o77b3o71b3o72b3o69b2o5bo67b2o11b2o60b2o6b2o65b2o73b2o5b2o66b
2o6bo66b2o6bobo139b2o73b2o148b2o223b2o73b2o73b2o73b2o76bo74bo71b2o3bob
o142b2o5b3o215b2o$24b2o138b3o2bo71bo74bo73b2o455bo225bo450b2o64b2o73b
2o73b2ob2o70b2o73b2o298b2o73b2o10bobo60b2o4bo68b2o73b2o73b2o4b2o67b2o
5b2o65b2o74b2o73b2o76b2o70b2o223b2o73b2o2bo70b2o73b2o73b3o72b3o72b2o4b
o143b2o4bo71bo74bo$169bobo67bobo74bobo71bo152b2o220b2o79b2o73b2o75b2o
71b2o516bo74bo74bo4b2o68bo74bo299bo74bo74bo74bo74bo74bo6bobo65bo75b2o
72bo74bo9b2o68b2o68bo9b3o62b2o73b2o73bo3b2o69bo3b2o69bo5bo68bo3b3o218b
o74b2o73bo7bo70b2o73b2o73bo$169b2o69b2o74b2o147bo76b2o220bobo79bobo72b
obo74bobo71b2o66bo73b3o73bo674b2o72b2o73b2o598bo158b2o68bo80bo65b2o73b
2o75b2o74bobo72b2o73bo296b2o150bobo72bobo73b2o$466bo77bo221bo154bo76bo
142bo74bo72b2o73b3o74b2o523b2o72b2o73b2o758bo149bo63bo74bo79bo149b2o
73bo69b2o73b2o148bo302bobo$464b3o2bo669b3o2bo70bo73bobo74bo73bobo522bo
73bo74bo1425b2o73b2o$469bobo672bobo218bo76bo2096bo74bo$469b2o673b2o75$
22bo73bo71bo77bobo69bo85bo63bobo82bo70bo68bo7b2o66bo73bo86bo62bobo74bo
78bo68bo74bobo74bo74bo78bo73bobo73bo69bo74bo74bo74bo74bo84bo73bo65bo
83bo65bo83bo65bo83bo74bo65bo7bobo63bo92bo67bo74bo64bo74bo74bo85bo74bo
74bo74bo63bo74bo74bo88bo72bo62bo$22bobo72b2o70b2o76b2o70b2o83bobo62b2o
81bo72b2o67b2o4b2o68b2o72b2o7bo75bo64b2o75bo77bobo67b2o73b2o72bobo72bo
bo79bo72b2o73bo71bo74bo74bo74bo74bo83bobo72bo65bo80b2o67bo82bobo64bo
72bobo8bo64bo7bo67bo6b2o65b2o88b2o69bo74bo64bo74bo74bo85bo74bo74bo74bo
63bo74bo74bo10bo77bo70bo64bo$22b2o72b2o70b2o77bo70b2o84b2o63bo82b3o69b
2o67b2o7bo66b2o72b2o7bo76b3o62bo10bo63b3o72bo4b2o67b2o74bo74b2o73b2o
77b3o73bo73b3o67b3o72b3o72b3o72b3o4bo67b3o83b2o71b3o63b3o81b2o64b3o5bo
bo74b2o63b3o73b2o6b3o65bo6b3o63b3o7bo64b2o90b2o66b3o72b3o62b3o72b3o72b
3o83b3o72b3o72b3o72b3o61b3o72b3o72b3o8b2o76b3o70b3o60b3o$18bo833b3o
151bo138bo829bobo448b2o216bo73b3o822bobo309b2o$19b2o79bo71bo70bo78bo5b
2o298bo68bo75bo73bo156b3o136b3o228bo600b2o450bo1116b2o74bo$18b2o80b2o
70b2o70b2o76b2o4bobo62bo234b2o67b2o74b2o72b2o221b2o303bo80bo67b2o218b
2o148b2o73b2o73b2o157b2o64b2o148b2o232b2o139b2o232b2o73b2o63b2o73b2o
73b2o84b2o73b2o63bo9b2o62bobo8b2o62b2o73b2o73b2o87b2o134b2o$99bobo69bo
bo69b2o76bobo4bo65b2o73bo73bo74b2o7bobo66bobo73bobo71bobo222b2o224bo
75b3o81bo67b2o218b2o5b3o140b2o73b2o73b2o157b2o64b2o148b2o232b2o63b2o
74b2o232b2o73b2o63b2o73b2o73b2o84b2o73b2o73b2o62b2o9b2o62b2o73b2o73b2o
87b2o134b2o$22bo70b3o297b2o75b2o72b2o73b2o384b2o63bo73b2o152bo156b3o
66bo219bo7bo73bo67bo7b3o64bo74bo158bo65bo149bo233bo66b2o72bo233bo74bo
64bo74bo74bo85bo74bo74bo74bo63bo74bo74bo88bo135bo$22b2o71bo151bo221b2o
72b2o73bo387b2o137b2o149b3o454bo73bo74bo216bo74bo82bo441bo$21bobo70bo
76b2o74b2o148bo371bo235bo138bo229b2o449b3o75bo146b3o67bo73b2o80b2o216b
o$171bobo72bobo148b2o74bo73bo221b2o451bo152b2o79b2o60b2o530bo67b3o72bo
bo80bobo216bo392bo55bo224b2o75b2o74b2o$171bo224bobo74b2o72b2o219bobo
148bo303bo73b2o75bo82b2o60b2o530bo441b3o393bo55bo222b2o75bobo75b2o379b
2o$472bobo71bobo371bo300b3o74b2o156bo61bo75bo74bo156b2o1059b3o53b3o
224bo76bo74bo381bobo211b2o$918b3o148b2o226bo297bo74bo156b2o290b2o223bo
1359bo214b2o$1068bobo522b3o72b3o155bo293b2o223bo148b2o82bo815b2o73bo
448bo$1070bo151b2o895bo223b3o149b2o82bo307b2o54b2o448bobo73b2o$919b2o
302b2o1269bo82b3o308b2o54b2o73bo375bo72bobo$920b2o300bo371b2o73b2o
1216bo55bo75b2o759b2o212bo$919bo675b2o73b2o672b2o672bobo72b3o683b2o
214bo$1594bo74bo675b2o231b2o515bo685bo211b3o85bo$2344bo234b2o513bo985b
2o$2578bo1501bobo$3993b2o$3994b2o$3993bo42$16bo73bobo74bo72bo89bo60bo
87bo74bo74bo61bo88bo73bobo58bo76bo89bobo74bobo73bo70bo76bo79bo78bo48bo
73bobo95bo68bo73bobo57bo74bo73bo76bo90bo83bo76bo74bo46bo74bo75bo96bo
51bo93bo55bo74bo73bobo72bobo96bo50bobo92bo55bo74bo73bo75bo102bo66bo54b
o74bo$17bo73b2o72bobo73b2o86bo62bo87bo74bo72bo63bo12bo75bo72b2o60b2o
72bobo89b2o75b2o74bobo52bobo14bo76bo79bo78bo48bo73b2o94bo70bo72b2o59bo
74bo73b2o72bobo91bo83bo76bo74bo46bo74bo72bobo96bobo50bo90b2o57bo74bo
73b2o73b2o96bobo49b2o93bo55bo74bo73b2o74bo102bo64bo56bo74bo$15b3o73bo
74b2o72b2o87b3o58b3o85b3o61bo10b3o72b3o59b3o13bo72b3o73bo59b2o74b2o90b
o76bo74b2o54b2o12b3o74b3o77b3o76b3o46b3o73bo95b3o66b3o57bo15bo57b3o72b
3o72b2o74b2o89b3o81b3o74b3o72b3o44b3o72b3o73b2o96b2o49b3o91b2o54b3o72b
3o73bo74bo97b2o50bo92b3o53b3o72b3o72b2o73b3o100b3o64b3o52b3o72b3o$540b
obo161b3o584bo600bo315bo1201bo$541b2o1347b3o316bo1201bo$15b2o461b2o73b
2o224b2o524b2o75b2o78b2o77b2o47b2o239b2o132b2o240b3o72b2o82b2o75b2o73b
2o45b2o73b2o223b2o148b2o73b2o317b3o72b2o54b2o73b2o251b2o120b2o73b2o$
16b2o461b2o73b2o148b2o74b2o524b2o75b2o78b2o77b2o47b2o239b2o132b2o315b
2o82b2o75b2o73b2o45b2o73b2o223b2o148b2o73b2o392b2o54b2o73b2o251b2o120b
2o73b2o$15bo462bo74bo151b2o72bo525bo76bo79bo78bo48bo240bo58b2o73bo316b
o83bo76bo74bo46bo74bo224bo149bo74bo393bo55bo74bo252bo121bo74bo$704bo
1186b2o314b2o1200b2o$1890bo317b2o1200b2o$2207bo1201bo3$108bo75bo75bo
55bo$109bo75bo75bo55bo448bo$107b3o73b3o73b3o53b3o148bo299b2o73bo96bo
75bo51bo74bo74bo149b2o72b3o73b2o75b2o$404bo61b2o297bobo74bo96bo75bo51b
o74bo74bo147bobo74bo72bobo74b2o93bo53bo$405bo59bobo372b3o94b3o73b3o49b
3o72b3o72b3o149bo73bo75bo76bo93bo53bo315bo77bo203b2o74b2o72b3o75bo$
107b2o74b2o74b2o54b2o86b3o1280b3o51b3o316bo77bo203b2o72bobo74bo74b2o
171bo50bo76b2o$108b2o74b2o74b2o54b2o1739b3o75b3o202bo76bo73bo75bobo
171bo50bo75bobo314bo85bo44bo225bo$107bo75bo75bo55bo524b2o95b2o74b2o50b
2o73b2o73b2o1522b3o48b3o75bo72bo92b2o150bo85bo44bo223b2o168bo129bo$27b
2o374b2o436b2o95b2o74b2o50b2o73b2o73b2o468b2o52b2o1200bo90b2o149b3o83b
3o42b3o147b2o74bobo168bo128b2o$27bobo374b2o434bo96bo75bo51bo74bo74bo
471b2o52b2o314b2o76b2o803b3o92bo430b2o242b3o127bobo$27bo375bo212bo
1069bo53bo317b2o76b2o601b2o49b2o673bo$617bo1198bo240bo77bo129b3o472b2o
49b2o391b2o84b2o43b2o469bo223b3o$615b3o1198b2o449bo471bo50bo149b2o243b
2o84b2o43b2o317bo74b2o75bo128bo93bo74b3o$1815bobo448bo674b2o241bo85bo
44bo318b2o75b2o72b3o129bo93bo73bo$1981b3o956bo693bobo73bo204b3o168bo$
615b2o1364bo$616b2o1364bo1125b2o675b2o$615bo2042b2o448bobo675b2o127b2o
$2657b2o449bo676bo130b2o$2659bo1255bo45$33bo48bo94bo75bo75bo52bo95bo
75bo79bo75bo46bo74bo74bo102bo46bo102bo50bo75bo68bobo72bobo73bo78bo73bo
75bo74bo74bo70bo74bo74bo79bo74bo74bo69bo74bo80bo74bo74bo68bo4bobo67bo
74bo74bo73bobo5bo74bo74bo67bo7bo74bo74bo74bo75bo65bo75bo7bo74bo73bo66b
o73bobo3bo$34bo48bo93bobo72bo74b2o54bo94bobo74bo79bo75bo46bo74bo74bo
102bo46bo102bo50bo75bo68b2o73b2o74bo75b2o73bo74b2o76bo74bo70bo74bo74bo
79bo74bo74bo69bo74bo80bo74bo74bo68bo3b2o69bo74bo74bo73b2o6bo74bo72bo
69bo4b2o76bo74bo74bo72b2o67bo72bobo8bo74bo72bobo65bo73b2o4bo$32b3o46b
3o93b2o73b3o73b2o51b3o94b2o73b3o77b3o73b3o44b3o72b3o72b3o100b3o44b3o
100b3o44b2o2b3o69bo3b3o68bo74bo73b3o76b2o72b3o73b2o73b3o72b3o68b3o72b
3o72b3o77b3o72b3o72b3o67b3o72b3o78b3o72b3o72b3o66b3o4bo67b3o72b3o72b3o
73bo5b3o72b3o72b3o65b3o5b2o73b3o72b3o72b3o73b2o64b3o73b2o6b3o72b3o72b
2o64b3o73bo3b3o$1207b2o73b2o84bo75bo69b2o519bobo143bo$1206bo74bobo85bo
75bo68bobo65bo452b2o145b2o1802b3o$32b2o47b2o298b2o170b2o78b2o74b2o45b
2o73b2o73b2o101b2o45b2o101b2o49b2o74b2o79b3o73b3o60b2o6bo68bo73bo152b
2o73b2o69b2o73b2o3bo69b2o73b2o3b2o68b3o2b2o73b2o68b2o73b2o79b2o73b2o
73b2o67b2o73b2o73b2o73b2o80b2o68bo4b2o141b2o81b2o73b2o73b2o140b2o82b2o
64bo8b2o139b3o2bo74b3o$33b2o47b2o298b2o170b2o78b2o74b2o45b2o73b2o73b2o
101b2o45b2o101b2o49b2o74b2o218b2o72b3o74bo73bo78b2o73b2o69b2o73b2o73b
2o78b2o69bo3b2o67b2o4b2o68b2o73b2o79b2o73b2o73b2o67b2o73b2o73b2o73b2o
80b2o65bobo5b2o141b2o81b2o73b2o73b2o140b2o82b2o64b2o7b2o138bo5bo73bo$
32bo48bo299bo171bo79bo75bo46bo74bo74bo102bo46bo102bo50bo75bo219bo149b
3o74bo76bo74bo70bo74bo74bo79bo70bo3bo70b2o2bo69bo74bo80bo74bo74bo68bo
74bo74bo74bo81bo68b2o4bo142bo82bo74bo66bo7bo141bo83bo65b2o7bo141bo79bo
$1367b2o74b2o286b3o597bo681bo518b2o$1368b2o74b2o135b2o224bo73b3o227bo
594b3o303b2o218bo298b2o156b2o$1367bo75bo138b2o72b2o149b2o74bo226b2o
299b3o142b2o150bo303bobo218bo455bobo$1581bo75b2o72b2o73bobo73bo227bobo
298bo145b2o148bo154b2o367b3o455bo$1656bo75b2o678bo143bo305bobo$1731bo
1130bo$3231b2o$2631b2o599b2o$2632b2o597bo375bo299bo$2631bo976bo299bo$
1960b2o1420b2o72b3o147b3o297b3o$1960bobo1418bobo74bo$1960bo1422bo73bo$
6b2o96b3o3499b2o298b2o$7b2o95bo352bo148b2o74b2o2923b2o298b2o$6bo98bo
51bo74bo225bo148b2o72bobo2922bo299bo$158bo74bo73bo148b3o147bo76bo1802b
2o$156b3o72b3o74bo672b2o1503bobo$306b3o545b3o125b2o77b3o1422bo450b2o$
456b2o74bo245b3o73bo126bo79bo1875bobo$156b2o73b2o224b2o73b2o244bo76bo
74b2o130bo1874bo$157b2o73b2o72b2o148bo74bobo245bo150bobo$156bo74bo75b
2o94bo526bo$306bo95b2o728b2o$402bobo726bobo$1133bo76$19bo69bo77bo74bo
70bo6bo67bo76bo80bo69bo76bo69bo76bo73bo73bo74bo83bo68bo76bo70bo74bo76b
o73bo75bo77bo73bo74bo70bo5bo68bo5bo70bo72bo74bo84bo67bo71bo76bo76bo73b
3o70bo77bo76bo67bo81bo74bo75bo67bo74bo82bo66bo7bo71bo69bo78bo73bo75bo
70bo79bo$14bo5bo69bo74b2o76b2o69b2o4bobo66b2o72bobo79bo71b2o73b2o70b2o
72bobo72bo75b2o73b2o79b2o70b2o73b2o71bo74bo76bo72bobo72bo76b2o75bo74bo
70bo3bo70bo3b2o71bo72bo74bo81b2o69bo71bo75bobo75bo69bo2bo70bobo77bobo
74bobo66b2o80bo74bo75bo67bo74bo6bo75bo66bo5b2o72bo69bo75b2o75bo75bo70b
o73bo$15bo2b3o67b3o75b2o74b2o69b2o5b2o66b2o74b2o72bo6b3o68b2o70bo3bobo
68b2o74b2o72b3o72b2o73b2o73bo7b2o68b2o74bobo68b3o72b3o74b3o72b2o73b3o
75b2o72b3o72b3o68b3o3b3o66b3o3bobo68b3o70b3o72b3o82b2o66b3o69b3o75b2o
74b3o70bo2bo70b2o77b2o75b2o66b2o79b3o72b3o73b3o65b3o72b3o7bo72b3o64b3o
5bobo65bo3b3o67b3ob2o73b2o72b3o73b3o68b3o73b2o2b2o$13b3o523b2o148b2o
448b2o80b2o65bo450bo599bo156bo216b3o447bobo230b3o215b2o76bobo69bo298bo
bo$163bo75b2o5b2o69b2o73b2o144b2o81b2o65b2o78b2o223b2o73b2o68b2o80b2o
67b2o298bo74bo75bo599bo154b2o667b2o447bobo76bo72bo149bo77bobo$18b3o67b
3o3bo69b2o72bobo4b2o69b2o73b2o71bo155b2o145b2o69bo74bo78b2o73b2o74b2o
68b2o7bo65b2o300bo74bo72b3o597b3o154bobo66bo224bo74bo74bo224bo598b3o
147bobo77b2o$18bo69bo4b2o68b2o75bo6bo70bo74bo71b2o76b2o68b3o6bo70b2o
74bo69b2o73b2o78bo74bo72b2o70b2o77b2o70b3o72b3o74b3o68b3o72b3o147bobo
3b3o66b3o3b3o68b3o72b3o73b3o70b3o72b3o150b3o69b3o73bo77b3o144bo74bo74b
o74bo79b3o72b3o65bobo5b3o65b3o155b3o64b3o76b3o67b3o150b3o70b2ob3o68b3o
3bo72b3o$19bo69bo3bobo368b2o76b2o71bo76b2o144b2o73b2o229bo68bo78b2o71b
o74bo76bo296b2o3bo70bo3bo70bo74bo75bo72bo74bo149bo2bo71bo73b3o77bo70b
3o71b3o72b3o72b3o75bo78bo74bo68b2o5bo67bo7b3o72b3o72bo66bo78bo69bo152b
o75bo70bo78bo$167b2o220b2o153bo69bo79bo599bo71bo74bo76bo295bo5bo68bo5b
o70bo74bo75bo72bo74bo149bo2bo71bo153bo69bo299b3o79bo74bo67bo7bo67bo6bo
74bo75bo66bo78bo69bo152bo75bo70bo78bo$166b2o222b2o77b2o296b2o74b2o73b
2o73b2o72b3o443b2o225b3o596b3o71b3o299bo607bo74bo64b2o298b3o72b2o$168b
o220bo78b2o297bobo72b2o73b2o74bobo73bo294b2o72b3o73b2o74b3o72b3o72bo
598bo1124b2o297bo75b2o$470bo296bo76bo74bo73bo74bo294bobo74bo72bo76bo
74bo75bo372b2o73b2o149bo223b3o72b2o148b3o72b3o72b3o147b2o372bo300bo73b
o$1365bo73bo151bo74bo446bobo73bobo74b2o296bo73bobo148bo74bo74bo75b3o
70bobo$2115bo73bo75b2o298bo74bo149bo74bo74bo74bo74bo$2267bo748bo58$88b
o74bo74bo72bo5bo76bo72bo69bo4bo73bobo75bo72bo72bobo75bo72bo71bo78bo76b
o74bo72bo70bo78bo72bo73bo72bo5bo68bo78bo72bo74bo77bo75bo70bo76bo69bo
74bo79bo73b3o69bo74bo74bo79bobo68bo74bo74bo74bo74bo77bo76bo69bo78b2o
69bo74bo79bo69bo75bo77bo$18bo70bo74bo74bo72b2o4bo76bo72bo69bo3bobo71b
2o75bo74bo71b2o76bobo71bo71bo78bo76bo74bo72bo69bobo74b2o74bo73bo72bo3b
2o69bo73bo4b2o69bo76bo76bobo72bo72b2o75b2o68b2o73b2o78bo69bo2bo72bo74b
o74bo78b2o70bo74bo74bo74bo74bo77bo73b2o71bo76b2o71bo74bo79bo69bo75bo
74b2o$18bo68b3o72b3o72b3o71b2o3b3o74b3o70b3o67b3o3b2o73bo75b3o70b3o72b
o76b2o70b3o69b3o3bo72b3o74b3o72b3o66b2o2b3o69b2o76b2o71b3o71b3o70b3o3b
obo66b3o74bo2b2o70b3o72b3o70bo5b2o67bo5b3o69b2o75b2o68b2o73b2o77b3o70b
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3o73bo4bo68b3o72b3o71bobo3b3o67b3o73b3o75b2o$93b3o291bo225bo74bo72b2o
303b2o293bobo148bo373b3o223b2o73b2o148b2o223bo73b3o300bo76bo74b2o75bo
75bo72bo296bo76bobo143b2o223bo$93bo294bo225bo74bo72b2o74bo74bo153b2o
294bo73bo75bo448bo80bo67b2o73b2o74bo6bo66bobo7bo69bo74bo70b2o6b2o144b
2o73b2o73b2o69b3o77bo73bobo73b2o74b2o70b2o71bo74bo79b2o67b3o76b2o144bo
225bo$94bo71bobo217b3o73b2o3b3o67b3o72b3o72b3o71bo3b3o71bo74bo74b3o69b
3o76b3o74b3o72b3o75bo67bo72b3o79bo67b2o4bo72bo74bo75bo71bo72b2o4b2o
218b2o4b2o68bo6b2o68b2o73b2o69bobo5b2o70b2o72b2o73b2o73b2o145bo74bo74b
o4bobo67bo5bobo66bo3b2o71bo74bo72bo4b2o143bo4bo69bo79bo69bo78b2o68b3o$
86b3o72b3o2b2o68b3o3b2o71b3o74b3o66bobo3bo69bo227bo71b3o72b3o74bo71bo
78bo76bo74bo76b2o65b3o153b2o67bobo2b2o71b2o73b2o74b2o69b3o72bobo3bobo
71bo74bo69bobo4bobo74bobo67bobo72bobo78bo68b2o69b2o4bo74bo74bo143b2o
73b2o73b2o73b2o73b2o74b3o72b3o71b2o6bo141b2o73b2o78b2o68b2o6bo67bo2b2o
$86bo74bo5bo68bo4b2o72bo76bo70bo4bo69bo227bo223bo71bo78bo76bo74bo75bob
o220bobo66bo4bobo70bobo72bobo73bobo143bo78b2o73b2o219b2o229bo69b2o73b
2o148bo73bobo72bobo72bobo72bobo72bobo222bobo73bo73bobo72bobo77bobo67bo
bo4b2o68bo3bo$87bo74bo74bo5bo72bo76bo217b3o72b3o448bo73b3o301bo71b2o
230bo146bo148bobo72bobo219b2o297bo74bobo80b2o65b2o673b2o305bobo65b3o
75b2o$611bo74bo149b3o72b3o73bo149b2o74bo73b2o151bo73b2o70bobo229b2o
145b2o444bo75b3o298bo79b2o66bobo448bo74bo148bobo152b2o295b2o$612bo74bo
148bo74bo75b2o147bobo73bo73bobo150b2o73bobo71bo229bobo144bobo521bo380b
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80bobo66bo77bo74bobo73bo70bo74bo87bo61bo80bo68bo77bo71bo73bo91bo58bo
73bo75bo87bo67bo68bo90bo73bo69bo71bo67bo6bo67bo85bobo61bo74bo74bo74bo
74bo74bo78b2o71bo77bo72bo71bo79bo$5bo74bo75bo70bo8bo73b2o63bobo74bo82b
o70bo70bo78b2o69bo74bo74bo74bo73bo5b2o68bo76bobo72b2o73bo72bo74bo86bob
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bo65b2o65bo5bo69bo4bo69bo84b2o63bo74bo74bo74bo74bo74bo73bo2b2o73bo77bo
70bo73bo76b2o$3b3o72b3o73b3o68b3o8bobo62bo9bo64b2o72b3o5b3o74b3o66b3o
68b3o79b2o66b3o72b3o72b3o72b3o74bo5bo66b3o6bo66bo2b2o74bo73b3o68b3o72b
3o73bo12b2o59b3o78b2o67b3o75b3o69b3o72b2o89b3o56b3o72b2o73b3o85b2o60bo
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3o72b3o72b3o74bo3bo70b3o71b2o2b3o70b3o69b3o77b2o$151bo84b2o64bo155bo
67bo73b2o84b2o437b3o80bo68bo73bo153bo146bo148bo232b3o515bo372b3o747b3o
147bobo152bo71bo$bo149b2o147b3o156bo67bo73b2o83bobo62bo456b3o64b3o74bo
73bo77bo145b3o149bo231bo71bo69bo87b2o816bobo524bobo215bo74bo78bo71bo$b
2o3b2o73b2o67bobo4b2o68b2o149bo73b2o71b3o72bo5b2o69b2o7bo65bo74b2o4bo
68b2o73b2o73b2o148b2o146b3o74bo73b2ob3o71b2o148b2o70b3o153b2o70b2o5bo
71bo69bo75b2o9bobo136b2o154b2o67b2o373b2o73b2o2b2o144b2o73b2o73b2o73b
2o73b2o73b2o4b2o139b2o3b3o72b2o71bo75b3o69b3o$obo2b2o68b2o3b2o74b2o69b
obo149bo72bobo151bobo68bobo70b3o74bobo2b2o68bobo6bo65bobo72bobo72b2o
73bobo220b3o72bobo74bobo147bobo225bobo69bobo75b3o67b3o74bobo9bo137bobo
71bo81bobo66bobo11b3o284b2o72bobo72bobo3bo143bobo72bobo72bobo72bobo72b
obo72bobo5bo67b3o69bobo2bo73b2o70b3o$7bo68b2o4bo75bo68bo74b2o73b3o72bo
153bo70bo149bo4bobo67bo7b2o65bo74bo7b3o64bobo72bo73b2o224bo76bo73b2o
74bo227bo71bo224bo76bo72bo72bo82bo68bo11bo59bo74bo74bo75bobo74bo74bo
149bo74bo74bo74bo74bo74bo73bo71bo5bo74bo$75bo226bobo222b2o381bobo69b2o
76bo66bo147bobo73b2o299bobo148b2o527bo142b3o164bo59bo74bo74bo76bo221bo
84b2o75b2o364bo299b2o70b2o$302bo224bobo222b2o227b2o78bo215bo72bobo73b
2o226bo147bobo303b2o68b2o150b3o367b3o72b3o72b3o299bo83bobo73b2o77b2o
73b2o433b2o75b2o70b2o$379b2o146bo224bobo228bo368bo72bobo160bo138b2o75b
o74bo227bobo67bobo226b2o742b3o83bo77bo75b2o74bobo431b2o78bo71bo$379bob
o370bo674bo159b2o138bobo150bo228bo69bo225b2o71b2o912bo73bo68b2o365bo$
379bo1207bobo137bo150b3o69b3o380b2o72bo69bobo223b2o73b2o73b2o679b2o$
1952bo379bobo144bo222bobo72bobo72bobo298b2o381bo$1951bo382bo369bo74bo
74bo297bobo$1881b2o1271bo$1880bobo$1882bo52$13bo71bo70bo74bo74bo6bo66b
o76bo75bo78bo73bo70bo78bo75bo73bo74bo70bo79bo69bo74bo72bo74bo77bo74bo
74bo78bo70bo74bo74bo71bo74bo74bo74bo74bo76bo72bo74bo77bobo71bo73bobo
71bo78bo77bo74bo67bo73bobo79bo74bo74bo75bo67bo74bo74bo82bo75bo$12bo73b
o70bo74bo74bo4bo68bo76bo74bobo74b2o72b2o72bo76b2o73b2o75bo74bo70bo70bo
bo6bo69bo74bo72bo74bo77bo74bo74bo76bo72bo74bo74bo3bo67bo74bo8bo65bo74b
o74bo76bo72bo74bo76b2o73bo72b2o73bo78bo75bo76bo67bo73b2o80bo74bo67bo4b
o77bo67bo74bo74bo82bo75bo$12b3o69b3o68b3o72b3o3bobo66b3o4b3o64b3o74b3o
3b2o69b2o76b2o72b2o69b3o76bobo73b2o72b3o72b3o68b3o71b2o4b3o67b3o72b3o
70b3o5bo66b3o75b3o3b2o67b3o72b3o76b3o68b3o72b3o72b3o3bobo63b3o72b3o7bo
64b3o72b3o72b3o74b3o70b3o72b3o73bo3bo71b3o73bo71b3o76b3o75b3o72b3o65b
3o73bo79b3o72b3o68bo3b3o73b3o65b3o72b3o72b3o74bo5b3o73b3o$6bo229b2o
224bobo142bo224bo372bo230bo151bobo447b2o149b3o74bo439bo148bo673b3o372b
obo$7bo154bo74bo224bo145bo73bo150bo221bo81bobo140bo155b3o149bo71bo147b
o455b2o438b3o149bo1048b2o$5b3o76b2o69b2o3b2o68b2o73b2o148b2o149b3o74bo
71b2o3b2o69b3o145b3o2b2o70bo2b2o69b2o5b2o71b2o68b2o2b3o72b3o70b3o72b3o
70b2o73b2o2bo70b2o77bo70b2o73b2o3b2o68b2o75bobo72bobo72bobo5b2o65bobo
72bobo74bobo70bobo72bobo149bobo67b3o75bobo76bobo66bo74bo8bobo65bobo
153bobo64bo7bobo148bobo65bobo72bobo72bobo80bobo73bobo$83b2o69b2o5b2o
66b2o73b2o76bo71b2o76bo148b3o70b2o3b2o146bo73bob2o69b3ob2o69b2o7bo70b
2o68bobo4bo74bo72bo74bo69bobo72bobo2b3o67bobo75b3o69bobo72bobo4b2o66bo
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2o66b2o79bo74b2o66bo6b2o67bobo79b2o66b2o73b2o73b2o81b2o74b2o$79bobo3bo
70bo74bo74bo76bo72bo76bo222bo4bo146bo71bo4bo74bo70bo79bo73bo68b3o3bo
72bo74bo72bo74bo74bo3b2o144bo4b3o67bo3bo70bo76bo74bo74bo74bo74bo76bo
72bo74bo73bobo69b2o4bo147bo78bo66b3o72bobo8bo67bo80bo74bo64b3o7bo67b2o
71bo9bo67bo74bo74bo82bo75bo$5b2o73b2o299b3o147b3o71b2o223b2o74b3o447bo
155bo222bobo148bo820b2o71b2o75bobo452b3o218bo72bo$4b2o74bo523b2o74b2o
147b2o524bo155b2o222bo69b2o80bo820bo70bo77b2o73b3o669b3o$6bo599bo72b2o
150bo679bobo290bobo1051bo73bo149bobo601b3o290b3o$380b2o148b2o149bo223b
2o899bo308b2o225bo590bo148b2o231bobo368bo294bo$379b2o148b2o373b2o1208b
2o225b2o740bo231b2o370bo292bo$381bo149bo374bo1209bo224bobo62b2o908bo$
2405bobo72b2o1279b2o$2407bo71bobo73b2o1204bobo$2481bo72bobo447b3o228b
2o524bo74b3o$2556bo74b3o372bo227b2o144bo455bo$2631bo373bo230bo143b2o
455bo$2632bo746bobo43$16bo74bo66bo73bo82bo66bo74bo78bo77bo69bobo70bobo
72bo79bo75bo72bo73bo79bobo67b3o69bo78bo75bo73bo78bo75bo75bo69b3o67bo
74bo74bo75bo77bo69bobo75bo78bo74bo67bo82bo66bobo85bo64bo71bo78bo70bo
74bo74bo75bo75bo77bobo68bo75bo76bo74bo75bo75bo74bo$17bo74bo66bo73bo73b
o7bobo65bo8bo65bo73bo2bo76b2o70b2o72b2o73bo77b2o69bo4b2o73bo73bo78b2o
65bo2bo72bo75bobo76bo73b2o75bo74b2o75bo65bo4bo70bo74bo74bo75bo76bobo
68b2o76bo76bo76bo67b2o79bo68b2o84bo66b2o70b2o77b2o69b2o73b2o73b2o74bo
72bobo77b2o70bo74bobo75bo74bo75bo69bo5bo74bo$7bo7b3o72b3o64b3o71b3o74b
o6b2o64b3o6b2o64b3o74bob3o69bo5b2o70bo72bo72b3o73bo3bobo69bo3bobo70b3o
71b3o79bo66bo2bo69b3o76b2o74b3o72b2o76b3o73b2o74b3o64bo4bo67b3o72b3o
72b3o73b3o72bo3b2o69bo75b3o76b3o72b3o66b2o73bo6b3o66bo85b3o63b2o70b2o
77b2o69b2o73b2o73b2o73b3o73b2o7bo65bo4bo68b3o3b3o68b2o74b3o72b3o73b3o
70bo2b3o72b3o$8bo297b3o82b2o138b3o74bo299bo72b3o73bo81bo141b3o77bo519b
3o77bo74bo74bo75bo70bo223bo154bo69b2o76bo70bo83bo71bo78bo70bo74bo74bo
154bo65bo78bo293b3o72b3o$6b3o597b3o73bo74bo78bo69b3o149bo80b2o66bo78bo
74b2o523bo74b2o73b2o73b2o74b2o67b3o75bo148bo73bo77b2o69b2o78b2o69b2o
79b2o70b2o77b2o69b2o73b2o73b2o153b3o63b3o79bo68bo225bo$18bobo72bobo64b
obo71bobo147bobo72bobo4bo216bo74bo72b2o2bo220b3o79bobo67bo77b2o72bobo
69bo74bo74bo74bo74bo153b2o72bobo72bobo72bobo73bobo146bo74b2o69b3o73b2o
5b2o70b2o74bo72b2o69b2o81b2o70b2o77b2o65bo3b2o73b2o73b2o71b2o223b2o72b
o78b2o73b2o68bo5b2o74b2o73b2o$18b2o61bobo9b2o65b2o72b2o73bobo72b2o73b
2o4bo65b2o148b3o72b3o72bobob3o143b2o78bo144b3o76bobo145bo74bo74bo74bo
74bo73bo77bobo445b3o73b2o145bobo4b2o145b2o79bo70bo294b2o225bobo222bobo
69b3o72b3o3bobo72bobo73bobo73bobo65bo6bobo$19bo62b2o10bo66bo73bo73b2o
74bo74bo4b3o63bobo72b2o223bo74b2o73bobo77b2o68b3o77bo219b3o72b3o72b3o
72b3o72b3o74bo158b2o289b2o151bo153bo145b2o76b2o69b2o294bobo225bo83b2o
64b2o73bo148bo3bo68b2o4bo75bo75bo67b2o5bo$82bo227bo220bo74bobo297bobo
72bo78bobo70bo77b2o223bo74bo74bo74bo74bo69b3o157b2o68b2o77b2o140b2o
147b3o74b2o305b2o69b2o605bobo63bobo220bo74b2o222bobo$156b2o78b3o367bo
74b2o73b2o148bo225bo77bobo147b3o73b2o73b2o73b2o73b2o73b2o73bo156bo66bo
bo77bobo63b3o75bo75b2o71bo73b2o598b2o231b2o151bo65bo149b2o145bo$157b2o
79bo442bobo72bobo601bo74bobo72bobo72bobo72bobo72bobo73b2o224bo77bo67bo
150b2o71bo76bo149b2o374b2o69bobo231bobo64b2o300bobo$156bo80bo443bo74bo
604bo448bobo369bo153bo298b2o372b2o72bo154b2o75bo65b2o301bo$2634bo297b
2o77bo225b2o144bo$2931bobo305bo$2933bo63$8bo3b3o68bo74bo81bo69bo74bo
74bo74bo74bo74bo74bo74bo80bo68bo74bo74bo75bo73bo74bo74bo74bo73bo5bo69b
o77bo69bo73bobo72bo75bo74bo79bo70bo72bobo72bo76bo73bo74bo83bo74bobo62b
o9bobo62bo85b3o65bo84bobo69bo63bo80bo79bo63bo74bo80bo69bo73bo80bo77bo
73bo$9bo2bo71bo74bo2bobo75bobo68bo74bo74bo74bo74bo74bo74bo74bo77b2o70b
o74bo74bo75bo73bo74bo74bo74bo70bobo6bo69bo71bo5bo69bo73b2o73b2o74bo74b
o3b2o68bo5bo70bo72b2o73b2o75bo3b2o68bo74bo72bo9bobo62bo9b2o64b2o7b2o
64b2o8bo63bo10bo66bo85b2o68b2o65b2o76bobo68bo8b2o65b2o73b2o11bo60bo3b
2o71bo73b2o77bo78bobo69b2o$7b3o3bo68b3o72b3o2b2o71bo4b2o67b3o2b3o67b3o
5b2o65b3o72b3o72b3o72b3o72b3o72b3o78b2o67b3o72b3o72b3o73b3o71b3o3bo68b
3o3bobo66b3o5bo66b3o71b2o4b3o67b3o71b2o2b3o67b3o3b3o67bo73b2o73b3o72b
3o3bobo67b2o2b3o68b3o3b3o66bo73b2o74b3o3bobo65b3ob3o68b3o73b2o7b2o64b
2o8bo63b2o3bo5bo63b2o3bo4b2o64b2o9bo65b3o84bo69b2o63b2o3bo74b2o69b2o7b
2o63b2o73b2o11bo62b2o2b2o68b3o72b2o8b2o68b3o76b2o71b2o$163bo72bo77bo
76b2o69b2o77bo748bobo72b2o73b2o290bobo78bo74bo147bobo74bo68bobo79bo73b
o150bo71bo145b2o3bo69b2o3bo74b2o73b2o3bobo62b2o3bo69bo229b2o143b2o3bo
74bo74bo7b3o59b2o153bo4bobo62bo74bo$234b3o78bo77bo68bobo75b2o748b2o74b
o74b2o371bo74bo146b2o227bo73bo222bo74bo74b2o73b2o72bobo72bobo73b2o69b
2o226bobo148b2o73b2o73b2o73bo149b2o3bo65b2o73b2o72bo$10b2o73b2o73b2o
145b2o73b2o73b2o3bo69b2o6bobo64b2o73b2o73b2o73b2o76bo71b2o4bo68b2o5bob
o65b2o148b2o73b2o73b2o73b2o78b2o68b2o79bo69bo78b3o71bo71bo3bo70bo78bo
70bo78b3o71bo71bo152bo74bobo72bobo222bobo68b2o3bo69bo74bo86bo141bobo
72bobo72bobo73b2o147bobo68b2o73b2o74b2o$10bobo72bobo72bobo145b2o73b2o
73b2o73b2o73b2o73b2o73b2o73b2o76bo71b2o3b2o68b2o4b2o67b2o75bo72b2o73b
2o73b2o73b2o78b2o68b2o77b2o68b2o153bo69b2o73b2o78b2o69b2o152bo70b2o72b
3o72b3ob3o448b2o69b2o73b2o83b2o366bobo70bo152bo74bo69b2o$10bo74bo74bo
71b2o73bo74bo74bo74bo74bo74bo74bo74bo6b2o68b3o70bo4bobo67bo7bo66bo6b2o
70bo70bo74bo74bo74bo7b3o69bo69bo9b2o68bobo67bobo150b3o69bobo72bobo76bo
bo68bobo150b3o69bobo74bo74bo451bobo68b2o3bo69b2o3bo80bobo439b2o150b2o
73b2o73bo$233b2o377b3o73bo149b2o299bobo67b3o303bo150b2o220bo448bo220bo
74bo528b2o73b2o143bo376b2o150bobo72bobo73b2o$232bo379bo74b2o73b3o75bo
298bo376bo151bo218b2o448b2o822bobo72bobo144b2o379bo296bobo$613bo73bobo
72bo144b2o978bobo71bo374bobo71bo971b2o3bo149b2o225b2o$763bo144b2o297b
2o751b2o448b2o975b2o147bobo224bobo$87b3o817bo300b2o750bobo446bobo974bo
bo149bo$87bo1119bo$88bo66$11bo68bo76bo71bo74bo74bo86bo64bo83bo66bo72bo
74bo74bo74bo75bo89bo58bo74bo73bo79bo76bo73bo72bo71bo81bo77bo64bo73bo5b
o68bo75bo81bo74bo74bo74bo67bo74bo74bo74bo74bo6bo67bo74bo83bo74bo66bo
73bo74bo78bo69bo74bo77bo74bo71bobo79bo70bo$9b2o70b2o75b2o70b2o73b2o73b
2o85bo64bo72bo8bo68bo72bo74bo8bobo63bo74bo72bobo90bo58bo74bo73b2o76bo
75b2o75bo72bo71bo79bo79bo64bo73b2o4bo68b2o4bo69bo81bo74bo74bo74bo67bo
74bo74bo74bo74bo5bobo66bo74bo83bo74bo66bo73bo74bo75b2o71b2o73b2o76bo
74bo71b2o79bobo69bo$10b2o68b2o75b2o70b2o73b2o73b2o84b3o62b3o73bo7b3o
64b3o70b3o72b3o8b2o62b3o72b3o73b2o88b3o56b3o72b3o72b2o5bo68bo2b3o69bo
4b2o67b3o2b3o70b3o69b3o79b3o75b3o62b3o72b2o3b3o67b2o6bo66b3o79b3o72b3o
72b3o72b3o65b3o72b3o72b3o72b3o72b3o5b2o65b3o72b3o81b3o72b3o64b3o71b3o
72b3o72bo3b2o69b2o73b2o75b3ob2o69b3o71bo80b2o68b3o$85bo148bo74bo74bo
219b3o234bo520bo68bo74bo74bo155bo372b3o216bo1125b2o228bobo72b2o$85b2o
147b2o73b2o73b2o974b3o66b3o72b3o73bo155b2o67bo74bo449b2o1122b2o77bobo
72bobo74bo73b2o79bo66bo77bobo$4bo79bobo146bobo72bobo72bobo81b3o62b3o
148b3o70b3o72b3o72b3o72b3o163b3o56b3o72b3o302b3o70b3o69b3o2bobo67bo73b
2o9b3o62b3o77b3o142b3o79b3o63b2o7b3o63bo8b3o72b3o65b3o72b3o72b3o72b3o
72b3o72b3o72b3o81b3o72b3o64b3o71b3o72b3o149b2o73b2o2b3o64b3o72b3o4bo
79bo66bo70b3o3b2o$5b2o73b2o387bo64bo71b3o76bo72bo74bo74bo74bo165bo58bo
74bo304bo72bo71bo70b3o72bobo11bo64bo79bo73b3o68bo81bo74bo64b2o8bo74bo
67bo74bo74bo74bo74bo74bo74bo83bo74bo66bo73bo74bo74bobo73bo74bo2bo66bo
74bo84b3o64b3o70bo6bo$4b2o73bobo72bo85b2o79bo146bo64bo74bo75bo72bo74bo
74bo74bo165bo58bo74bo79b3o66b3o72b3o78bo72bo71bo159bo64bo79bo76bo67bo
81bo74bo64b2o8bo74bo67bo4b2o68bo74bo74bo74bo74bo74bo83bo74bo66bo73bo
74bo75b2o153bo66bo74bo224bo$9bo71bo73b2o83bobo77b2o67bo217bo521bobo
232bo68bo74bo604bo448bobo223bo670bo$9b2o143b2o84bo79bobo65b2o740b2o
231bo68bo74bo298b3o670bo82bo224b2o440b2o606b3o64b3o$8bobo148bo228bobo
64b2o73bo599bo524bo152bo671b2o305bobo440b2o301bo303bo66bo$159b2o293bob
o72b2o148b2o974b2o150bo671b2o155b2o441b2o148bo302b2o304bo66bo$158bobo
295bo72bobo148b2o84bo887bobo301b2o676bobo441b2o231b2o74bo142bobo$679bo
85b2o1191bobo224b2o68bo380bo442bo233bobo72b2o$765bobo212b2o976bo226bob
o67b2o455b2o599bo74bobo$979b2o1204bo68bobo454b2o$981bo88bo134b2o1506bo
$1071bo132b2o$1069b3o134bo2$2937b3o$1071b3o1863bo217bo$918b2o153bo
1864bo216b2o$917b2o153bo1939b3o139bobo$919bo2092bo$3013bo3$1298b3o$
1298bo$1299bo43$11bo75bo74bo75bo69bo77bo69bo80bo68bo77bo71bo74bo4bo69b
o4bo69bo5bo68bo74bo74bo74bo74bo74bo74bo9bo64bo79bo75bo73bo70bobo72bobo
71bo82bo66bo82bobo64bo75bo74bo75bo76bo69bobo82bobo62bo80bo73bo70bo75bo
83bo70bo68bo5b3o74bo66bo74bo82bo67bo72bobo79bo69bo76bobo$12bo68bo6bo
74bo75bo69bo74b2o71bo74bo5bo68bo77bo71bo74bo2b2o70bo3bobo68bo3b2o69bo
74bo74bo74bo74bo74bo74bo7bo66bo76b2o77bo72bobo68b2o73b2o73bo73bo6bo68b
o6b2o65bo7b2o66bo75bo71bobo75bobo75bo69b2o82b2o64b2o79bo72bobo69bo72bo
bo81b2o72bo68bo4bo68bo6bo68bo74bo79b2o66bobo73b2o80bo69bo75b2o$5bo4b3o
68b2o3b3o72b3o73b3o67b3o71bo3b2o68b3o2b2o68bobo3b3o66b3o75b3o69b3o72b
3o2bobo67b3o3b2o67b3o3bobo66b3o72b3o72b3o72b3o72b3o72b3o6bo65b3o7b3o
62b3o73bo3b2o69bo4b3o67bo4b2o70bo74bo71b3o74bo5b3o64b3o5b2o67bo7bo64b
3o73b3o72b2o75b2o74b3o69bo84bo63b2o78b3o72b2o68b3o73b2o82b2o69b3o66b3o
5bo68bo5b3o64b3o72b3o80b2o66b2o73bo79b3o67b3o76bo$6b2o72bobo74bo224bo
76b2o70b2o679bobo223bo152bo65bo74bo74bo73bo223b3o82bo64b3o83bo1113b3o
224bo222b2o79b3o$5b2o148bobo222b3o78bo302bo447b2o224b3o68b3o72b3o4bobo
61b3o72b3o72b3o74bo73bo77b3o147b3o147b3o2b2o143bo71bo1126bo222b2o78bo$
8b3o73b3o69b2ob3o73b3o67b3o148b2o79b2o69b2o71b2o3b2o70b2o3b2o68b2o73b
2o73b2o73b2o73b2o73b2o3bo69b2o2bobo68b2o73b2o76bo74bo4b2o287b3o74bo78b
o72b3o74bo72b3o74bo3b2o66bo76bo71bo78bo75bo68bo155bo144bo230bo68bo149b
o74bo73b3o221bo5b2o68b2o4bo$8bo75bo74bo75bo69bo149b2o79b2o71b2o69bobo
4b2o70b2o2bobo68b2o73b2o73b2o73b2o73b2o73b2o73b2ob2o70b2o2bo70b2o74bo
74bo73b3o72b3o72b3o143b3o77bo2b2o71bo73bo75bo73bo72b2o73b3o69b3o73b2o
3b2o75bo68bo78bo75b2o67bo75b2o73bo73bo81b2o67b2o73bo74b2o73b2o150bo
150bobo67bobo$9bo75bo74bo75bo69bo74b2o74bo80bo69bo73bo3bo71bo74bo74bo
74bo74bo6bo67bo74bo74bo4bo69bo3bo70bo227bo74bo74bo72b3o151bobo69bo149b
o146bobo220bobo2bobo73b3o66b3o79bo73bobo68bo73bobo74bo73bo79bobo66bobo
73b2o72bobo72bobo151bo151bo69bo$380b2o682b2o296b3o295bo74bo74bo75bo72b
3o76bo593bo227b3o142b3o148b3o71b3o223bobo222b2o75b3o73bo222bo$231b2o
83bo65bo681bobo818bo75bo523bo71bo748bo234bo138bobo152bo222bo$230bobo
82b2o290b2o528b2o821bo445b2o77b2o70b2o154bo68bo147b2o153b2o219b2o232b
2o73b2o65bo150b3o220b3o$232bo82bobo288bobo528bobo1265bobo76bobo69bobo
154b2o67b2o78bo68b2o74bo77bobo70bo73bo72bobo232bobo71b2o142b2o$608bo
528bo1269bo304bobo66bobo78b2o66bo76b2o76bo72b2o72b2o382bo140bobo$2861b
obo142bobo148bobo71bobo525bo73b2o221b2o$3832bobo220bobo$3834bo222bo59$
8bo74bo79bobo70bobo69bo80bo66b2o79bo74b3o73b2o68bo73bo75bo81bo75bo73bo
74bo67bo74bo73bo77bo76bo69bo75bo82bo65bo79bo68bo84bo71bo75bo67bo6bobo
65bo74bo74bo74bo74bo74bo75bo72bo74bobo82bobo74bo66bo75bo72bo72bo3b3o
68bo80bo74bo68bo78bo73bobo72bo$9bo74bo78b2o71b2o71bo2bo74b2o68b2o79bo
69bo3bo74b2o70bo73bo72bobo81bobo72bo75bo74bo67bo74bo73bo77bo73b2o71bo
72bobo82bobo64bo79bo68b2o81bo73bo67bo5b2o68bo5b2o67bo74bo74bo74bo74bo
74bo75bo72b2o73b2o82b2o73b2o68bo75bo72bo72bo2bo71bo80bo74bo68bo78bo72b
2o74bo$7b3o72b3o79bo72bo69b3obo76b2o66bo5bo68bo4b3o70bo3bo69bo5bo67b3o
5bo65b3o73b2o81b2o73b3o71b3o72b3o65b3o72b3o71b3o75b3o74b2o68b3o73b2o
82b2o63b3o77b3o67b2o82b3o69b3o68bo4bobo65b3o6bo65b3o72b3o72b3o72b3o72b
3o72b3o73b3o71b2o74bo84bo74b2o65b3o73b3o70b3o70b3o3bo68b3o78b3o72b3o
66b3o3b2o71b3o73bo72b3o$12bo298b3o149bo68b2o73b3o74bo78b2o1491b3o679bo
74bo68bo74bo603b2o69bo74bo$10b2o146bo302b3o67b2o149b3o79b2o2173bo74bo
68bo74bo604bo69bo74bo73bo$7b2o2b2o69b2o75bo73bo73b2o74bo152b2o219b2o
380b2o73b2o66b2o73b2o74b2o76b2o145b2o78bo68bo155b2o224b2o142b2o73b2o
73b2o75b2o73b2o73b2o73b2o74b2o74b3o72b3o66b3o72b3o79b2o74b2o66b2o3b2o
71b2o73b2o79b2o73b2o66bo71b3o72b3o74bo3bo$6bobo72bobo73b3o74bo71bobo
75bo150bobo69b2o147bobo379bobo72bobo65bobo72bobo73bobo71b2o2bobo69bo
74bobo79bo68bo78bo74bobo67bo74bo80bobo67b2o72bobo72bobo72bobo74b2o73b
2o73b2o73b2o74b2o369bobo3b2o74b2o66b2o3b2o71b2o73b2o79b2o73b2o66b2o
221b3o2b2o$8bo74bo148b3o73bo73b3o76b2o74bo68bobo73b2o74bo381bo74bo67bo
74bo75bo72b2o3bo70bo75bo77b3o66b3o79bo75bo68bo74bo81bo66bobo74bo74bo
74bo76bo74bo74bo74bo75bo369b2o5bo68bo6bo67bo4bo72bo74bo80bo74bo65bobo
225bobo$86b2o372bobo145bo72bobo156bo74bo67bo74bo73b2o72b3o81b3o72b2o
139bo74b3o302b3o142b3o72b3o150bo681b2o73b2o67b2o73b2o70bo73bobo525bo
74bo$85b2o70b2o303bo220bo157bo74bo67bo74bo71bobo74bo81bo74bobo814b2o
232b2o522b2o73b2o67b2o73b2o146b2o524b2o73b2o$87bo68bobo73b2o148b2o455b
3o72b3o65b3o72b3o73bo73bo83bo73bo65b2o228b2o76b2o67b2o146b3o222bobo
232bobo71b3o65b2o74b2o306bo74bo68bo74bo671bobo72bobo$158bo72bobo147bob
o1048b2o149b2o75b2o76bobo66bobo78b2o68bo74b2o73b2o73bo232bo73bo66b2o
76b2o$233bo149bo1047bo150bobo77bo77bo68bo77bobo67bo74bobo72bobo381bo
67bo74bo$839b2o73b2o66b2o73b2o525bo304bo144bo74bo607b2o73bo814bo73b2o$
838bobo72bobo65bobo72bobo1657b2o73b2o63b3o677b3o68b2o73b2o$840bo74bo
67bo74bo1659bo72bobo64bo677bo69bobo72bo$2857bo679bo79$15bo67bo73bo74bo
bo80bobo74bo70bo75bo74bo69bo5bo67bo74bo74bo6bo67bo74bo75bo73bo7bo66bo
73bo78bo75bobo73bo70bo87bo66bo72bo75bo73b2o73bo70bo75bo74bo73bo78bo72b
o77bo75bo71bo75bo74bo70bo74bo76bo85bo61bo73bo83bo66bo74bo74bo73bo74bo
74bo74bo89bo$16bo67bo73b2o73b2o80b2o73b2o72bo75bo74bo66bobo6bo67bo74bo
74bo5bobo66bo74bo75bo73bo6bobo65bo73b2o76bobo73b2o74bobo66bobo88bo66bo
69b2o77bo72bobo72bobo69bo72b2o76b2o72bo73bo2bo72bo77bo74b2o73bo75bo74b
o70bo74bo76bo85bo61bo73b2o79b2o68bo74bo74bo6bo66b2o73b2o73b2o73b2o88b
2o$14b3o65b3o72b2o74bo82bo74b2o69b3o73b3o72b3o67b2o4b3o65b3o4bo67b3o
72b3o5b2o65b3o72b3o73b3o71b3o6b2o64b3o72b2o74bo2b2o70bo4bo69bo4b2o68b
2o86b3o64b3o70b2o74b3o72bo74b2o68b3o73b2o74b2o71b3o74bob3o70b3o75b3o
73b2o70b3o73b3o72b3o68b3o72b3o74b3o83b3o59b3o72b2o81b2o65b3o72b3o72b3o
4b2o66b2o73b2o73b2o73b2o88b2o$764bobo531b3o133bo74bo74bo147b3o73b2o
223bo153bo294b3o148bo74bo981b2o365bo$8b2o81b2o671b2o73bo458bo133b3o72b
3o72b3o149bo72bobo148b2o74bo152bobo222bo145bo75bo74bo80bo67bo7bo74bo
70bo2b3o69bo76bo85bo61bo224bo74bo74bo74bo74bo74bo74bo70b2o17bo$7bobo7b
o67bo5bobo70bo74bo68bo74bo74b2o5bo75bo74bo75bo67bo74bo3bobo68bo74bo74b
o75bo73bo72b2o14bo59bo373bo13b2o60bo4b2o67bo73bobo3b2o67b3o148b2o2b2o
221b2o75bo71bo72b3o72b3o78b2o68b2o4b2o73b2o69b2o3bo69b2o71bo3b2o84b2o
60b2o223b2o73b2o73b2o73b2o73b2o73b2o73b2o70b2o16b2o$9bo6b2o66b2o5bo73b
o74bo68bo74bo72bobo4b2o74b2o73b2o74b2o66b2o73b2o3b2o68b2o73b2o73b2o74b
2o72b2o72bobo74bo386bobo64bobo67bo74bo3bobo217bobo72bo74bo77b2o72b2o
70b3o229b2o66bobo5b2o73b2o69b2o3bo69b2o69b2o4b2o68bo15b2o60b2o14bo208b
2o73b2o73b2o73b2o73b2o73b2o73b2o88b2o$16bobo65bobo76b3o72b3o66b3o72b3o
74bo4bobo73bobo72bobo73bobo65bobo72bobo72bobo72bobo72bobo73bobo71bobo
71bo74b3o72b2o73b2o73b2o162bo66bo67b3o78bo219bo75bo74bo151b2o149bo74bo
219b2o223bobo73b2o91b2o56bo73bo73b2o84b2o$1433bobo72bobo72bobo447b2o
222b3o72b3o227bo72b2o73b2o221b2o297bobo91bobo56bo73bo72bobo82b2o$533bo
73b2o382b2o73bo65b2o299bo74bo74bo77bo371bobo72bo451b2o74b2o73b2o70bo
148bo450b3o71b3o72bo86bo$166bo74bo68bo74bo147b2o73b2o380b2o73b2o66b2o
224b2o301bo220b2o148bo75bo451b2o220b2o972b2o$165b2o73b2o67b2o73b2o146b
obo72bo384bo72bobo64bo226bobo298b3o220bobo221b3o148b2o73b2o74b3o370bob
o302b2o299bo73bo294bobo72b2o$165bobo72bobo66bobo72bobo972bo523bo374bob
o72bobo75bo674b2o298b2o72b2o295bo74bobo$2258bo74bo76bo677bo298b2o72b2o
369bo$1661b2o445b2o1798b2o74b2o$1661bobo444bobo1796bobo74bobo$1661bo
446bo1800bo74bo78$7bo77bo74bo75bo74bo74bo74bo75bo74bo75bo68bo80bo74bo
74bo74bo74bo75bo67bo74bo74bo81bo67bo74bo75bo74bo82bo76bo64bobo77bo69bo
5bo68bo74bo5bo68bo74bo74bo74bo74bo74bo88bo62bo75bo70bo74bobo73bo78bo
78bobo65bo73bo79bo78bobo71bo74bobo74bo63bo81bo$8b2o76b2o73b2o74b2o73b
2o73b2o73b2o74b2o73b2o74b2o67b2o79b2o67bo5b2o73b2o73b2o73b2o74b2o66b2o
73b2o73b2o80b2o66b2o73b2o74bo74bo79b2o78bo64b2o78bo69bo2b2o70bo74bo3b
2o69bo4bo69bo74bo74bo7bo66bo7bobo64bo87bobo59bo74b2o72b2o73b2o74bo77bo
bo76b2o64bobo74bo77bo79b2o70b2o75b2o73b2o65b2o80bo$7b2o76b2o73b2o74b2o
73b2o73b2o73b2o74b2o73b2o74b2o67b2o79b2o69bo3b2o73b2o73b2o73b2o74b2o
66b2o73b2o73b2o75bo4b2o66b2o73b2o73b3o72b3o73bo6b2o75b3o64bo77b3o67b3o
3b2o67b3o72b3o3bobo66b3o3b2o67b3o72b3o72b3o7bobo62b3o7b2o63b3o73bo13b
2o60b3o73b2o70b2o74bo73b3o77b2o78bo65b2o72b3o77b3o78bo71b2o75bo74b2o
63b2o79b3o$26bo880b3o597bobo156bobo150bo64bo528bobo226b2o74bo140bo386b
2o$12bo11b2o64bo74bo75bo74bo74bo74bo75bo74bo75bo68bo80bo74bo74bo74bo
74bo75bo67bo74bo74bo70b2o9bo67bo74bo3b2o151bobo60b3o73b2o605bo291b3o
386bobo59bo74bo157bo$10b2o13b2o61b2o73b2o74b2o73b2o73b2o73b2o74b2o73b
2o66bo7b2o67b2o79b2o73b2o64bo8b2o73b2o73b2o74b2o66b2o73b2o73b2o80b2o
66b2o73b2o5bo67bo74bo8b2o136bobo10bo62bo81bo69bo74bo74bo74bo74bo74bo3b
o69b2o73b2o523b2o10bo62bo74bo77bo71b2o4b2o523b2o$11b2o76b2o73b2o74b2o
65bo7b2o73b2o73b2o74b2o73b2o65b2o7b2o67b2o79b2o73b2o64b2o7b2o63b3o7b2o
73b2o64b2o8b2o66b2o73b2o73b2o80b2o66b2o73b2o72b2o73b2o147bo10b2o62bo
80b2o68b2o73b2o73b2o73b2o73b2o73b2o2b3o68b2o73b2o523b2o70b3o72b3o78bo
71b2o3bobo140bo74bo74bo74bo157b2o$308b2o372bobo297b2o75bo147bobo524bob
o72bobo73bo83bobo60b3o79bobo67bobo72bobo72bobo72bobo72bobo3b2o67bobo
72bo74bo149b2o72bo74bo77bo74bo72bo226b3o70bo149bo74bo74bo74bo155bo$
158bo148b2o749bo73b2o75bo372b3o300b2o602b2o369b2o72bo74bo77bo74bo519b
3o72b3o72b3o72b3o$158b2o222bobo73bo674b2o303bobo141bo301bobo220b2o154b
o227bo367bo72b3o72b3o75b3o72b3o146b2o73b2o672b2o$157bobo223b2o73b2o72b
3o297b3o297bo155b2o148b2o143bo451bo72b2o152b2o1046b2o73b2o76b2o524bo
67bobo$383bo73bobo74bo73bo225bo453bobo148bo595b2o70bo154bobo518bo525bo
74bo79b2o218b2o73b2o73b2o73b2o79bo68bo$533bo74b2o223bo454bo445bo299bob
o747bo149b2o73b2o76b2o73b2o299bo144bo76b2o73b2o73b2o73b2o76b3o$83b2o
522bobo152b2o969b2o1047b3o150b2o73b2o76b2o73b2o444bo74bo74bo74bo74bo$
82bobo677bobo968bobo1198bo74bo77bo74bo444b3o$84bo677bo3227b2o$2784b2o
1205b2o$233bo1130bo1420b2o822b2o379bo$233b2o1128b2o1419bo825b2o$232bob
o1128bobo2243bo63$17bo68bo74bo74bo84bo64bo74bo75bo72bo74bo77bobo74bo
72bo76bo69bo74bobo78bo68bo82bo66bo81bo69bo73bo74bo74bo74bo74bo74bo74bo
74bo74bo74bo74bo74bo85bo63bo74bo74bo74bo74bo74bo74bo74bo74bo74bo86bo
62bo74bo74bo74bo74bo74bo74bo86bo$18bo68bo74bo74bo81b2o66bo74bo75b2o71b
2o73b2o76b2o74bobo71b2o72b2o71b2o73b2o79b2o67b2o78b2o68b2o80b2o68bo73b
o74bo74bo74bo74bo74bo74bo74bo74bo7bo66bo8bo65bo74bo85bo63bo74bo8bo65bo
74bo74bo74bo74bo74bo74bo74bo73bo10bo64bo74bo11bo62bo74bo74bo74bo74bo
85bobo$16b3o66b3o72b3o72b3o82b2o63b3o6bo65b3o74b2o71b2o73b2o77bo75b2o
71b2o74b2o69b2o74bo79b2o67b2o80b2o66b2o80b2o67b3o71b3o72b3o72b3o72b3o
72b3o72b3o72b3o72b3o72b3o7bobo62b3o7bo64b3o8bo63b3o83b3o61b3o72b3o8bob
o61b3o10bo61b3o72b3o72b3o72b3o72b3o72b3o72b3o74bo9b3o60b3o72b3o9b2o61b
3o72b3o72b3o72b3o72b3o73bo11b2o$392b2o148bo72bo74bo69bo74bo82bo146bo
155bo68bo149bo81bo747b2o73b3o72bo76bo223b2o73b2o587b3o160b2o72bo364bo$
393b2o146b2o71b2o73b2o70b2o73b2o79b2o145b2o4b2o148b2o67b2o148b2o80b2o
897b3o72b2o300b2o823bobo360b3o$18b2o67b2o73b2o73b2o148b2o73b2o77bobo
70bobo72bobo68b2o73b2o73bobo4bobo65bo78bobo3bobo62bo75b2o7bobo66bobo
147bobo79bobo63b3o71b3o72b3o72b3o72b3o72b3o72b3o72b3o72b3o72b3o72b3o
72b3o72b3o7b2o74b3o61b3o72b3o72b3o72b3o7bo64b3o72b3o72b3o72b3o72b3o72b
3o147b3o72b3o72b3o8b2o62b3o72b3o72b3o72b3o$19b2o67b2o6b2o65b2o6bo66b2o
148b2o73b2o70b2o228bo74bo70b2o73b2o82bo65b2o72bobo147bo85b2o141bo73bo
74bo74bo74bo74bo74bo74bo74bo74bo74bo74bo74bo85bo63bo74bo74bo74bo7bobo
64bo74bo74bo74bo74bo74bo72b3o74bo74bo74bo74bo74bo74bo74bo$18bo68bo7b2o
65bo7b2o65bo3b3o67bo75bo74bo73b2o226b2o73b2o70bo73b2o148b2o75bo148b2o
82b2o141bo73bo74bo74bo74bo74bo74bo74bo74bo74bo74bo74bo74bo85bo63bo74bo
74bo74bo8b2o64bo74bo74bo74bo74bo74bo75bo73bo74bo74bo74bo74bo74bo74bo
73b3o$97bo72bobo68bo70bo222bo228bobo72bobo148bo149bo219b2o85bo1939bo
600bo$10b3o229bo67b3o161bo213b2o299b2o148b2o150bo73bo2621bo$12bo460b2o
138b2o72b2o300bobo147bobo148b2o72b2o219b2o84b2o74bo77b2o73b2o$11bo461b
obo136b2o75bo600bobo71bobo219b2o82b2o74b2o76b2o74bobo68bo$312b2o300bo
970bo86bo73bobo77bo73bo69b2o73b2o600b2o287b2o84b2o64bo75b2o73b3o74b2o$
313b2o1655bobo72bobo72b2o438b3o83b2o287bobo84bobo63b2o73bobo75bo73bobo
155b2o224b2o73bo65bo73b2o$312bo1197b3o532bo74bobo73b2o364bo85bo288bo
84bo64bobo75bo74bo76bo154b2o224b2o73b2o65b2o73b2o$1512bo607bo74b2o364b
o912bo225bo72bobo63bobo72bo$1511bo685bo73$27bo61bo97bo66bo59bo12bo61bo
13bo75bo80bo78bo63bobo58bo13bo60bo74bo90bo58bo74bo92bo57bo92bo75bo77bo
51bo73bobo72bo85bo75bo75bo65bo71bo74bo74bo77bo71bo74bo83bobo75bo75bo
66bo69bo74bo77bo74bo72bo72bobo85bo75bo62bo75bo72bobo78bo74bobo73bo74bo
bo73bobo73bo$26bo63bo97bo63b2o61bo11bobo60bo11bo77bo80bo78bo48bo13b2o
60bo12bobo59bo12bobo59bo90bo58bo74bo92bo57bo92bo75bo77bo51bo73b2o73b2o
83bobo72bo75bo67b2o70bo74bo74bo75bo73bo74bo82b2o75bo74b2o68bo69bo74bo
76bobo72bobo68bobo73b2o85bobo73bobo61bo72bobo73b2o78bobo72b2o74bobo72b
2o74b2o73bo$14bo11b3o59b3o10bo84b3o50bo13b2o58b3o11b2o59b3o11b3o73b3o
78b3o76b3o49bo13bo58b3o12b2o58b3o12b2o58b3o12bo75b3o56b3o72b3o90b3o55b
3o90b3o73b3o75b3o49b3o73bo73b2o84b2o73b3o73b3o64b2o69b3o72b3o72b3o75b
3o69b3o72b3o83bo75b3o73b2o65b3o67b3o72b3o76b2o73b2o70b2o73bo86b2o74b2o
60b3o73b2o73bo79b2o74bo74b2o74bo75bo73b3o$15bo85bobo136bo447b3o163bo
73bobo226bo455bo139bo60bo74bo74bo74bo84b3o73b2o74bo$13b3o85b2o135b3o
687b2o228bo455bo139bo60bo74bo74bo74bo83bo75bobo72b2o226bo60bo74bo74bo
74bo85bo75b2o$89b3o95b3o124b3o72b3o87b3o78b3o76b3o122b3o72b3o72b3o88b
3o56b3o89b3o73b3o55b3o90b3o73b3o75b3o72b3o75bo61b3o58b3o72b3o72b3o72b
3o73b3o8bo63b3o8bo63b3o8bobo136b3o87bo60bo74bo74bo74bo73b3o7b2o63b3o9b
obo233bo51bo74bo74bo74bo74bo74bo74bo74bo74bo74bo74bo74bo$91bo97bo126bo
74bo89bo80bo78bo47b3o74bo74bo74bo90bo58bo167bo57bo92bo75bo77bo151bo
424bo74bo74bo72bo76bo85b3o58b3o72b3o72b3o72b3o75bo7bobo64bo9bo236bo51b
o74bo74bo74bo74bo74bo74bo74bo74bo74bo74bo74bo$14b3o73bo97bo50b3o73bo
74bo89bo80bo78bo50bo73bo74bo74bo90bo58bo167bo57bo92bo75bo77bo150b3o
423bo74bo74bo74bo74bo449bo74bo73bo171b3o49b3o72b3o72b3o72b3o72b3o72b3o
72b3o72b3o72b3o72b3o72b3o72b3o$16bo224bo448bo466b3o453b3o137b3o58b3o
72b3o72b3o72b3o296b3o674bo$15bo224bo918bo455bo139bo60bo74bo74bo74bo
461b3o58b3o72b3o72b3o72b3o221b3o73bo$1158bo455bo75b3o61bo60bo74bo74bo
74bo464bo60bo74bo74bo74bo298bo96b3o49b3o72b3o72b3o72b3o72b3o72b3o72b3o
72b3o72b3o72b3o72b3o72b3o$1692bo646b3o162bo60bo74bo74bo74bo297b3o98bo
51bo74bo74bo74bo74bo74bo74bo74bo74bo74bo74bo74bo$1691bo649bo672b3o171b
o51bo74bo74bo74bo74bo74bo74bo74bo74bo74bo74bo74bo$2340bo76b2o597bo$
164b2o2250b2o597bo73b3o$163bobo298b2o72b2o74b2o1802bo672bo$165bo297bob
o73b2o72bobo2474bo$465bo72bo76bo447b2o$1063bobo222b3o$1063bo224bo150b
2o$1289bo148bobo$988b2o450bo73bo$989b2o523b2o$988bo224b2o149bo148bobo$
1214b2o148b2o$1213bo149bobo52$20bo69bo74bo75bo68bo73bo74bo74bobo74bo
86bo64bo72bobo74bo70bobo4bo74bo74bo68bo74bo74bo74bo74bo74bo81bo67bo74b
o74bo74bo74bo75bo73bo74bo74bo75bo73bo74bo74bo74bo74bo74bo74bo74bo74bo
79bobo71bo74bo70bo4bo69bo74bo79bo68bo81bo68bo74bo79bobo71bo$18b2o71bo
74bo75bo68bo73b2o73b2o73b2o72bobo85bo63bobo73b2o75b2o69b2o5bo74bo74bo
68bo74bo74bo74bo74bo74bo73bo7bo67bo74bo74bo74bo74bo72bobo74bo74bo74bo
73bo75bo74bo74bo74bo74bo74bo74bo74bo74bo78b2o70b2o76bo70bob2o71bo74bo
73bo3b2o68bobo80bo68bo74bo78b2o70b2o$19b2o68b3o72b3o73b3o66b3o72b2o73b
2o74bo74b2o85b3o62b2o73bo75b2o70bo4b3o72b3o72b3o66b3o72b3o72b3o72b3o
72b3o72b3o74bo4b3o65b3o72b3o72b3o72b3o72b3o73b2o72b3o72b3o72b3o73b3o
71b3o72b3o72b3o72b3o72b3o72b3o72b3o72b3o72b3o73bo5bo71b2o73b3o68b3o2b
2o68b3o2bo69b3o74bo2bobo67b2o79b3o66b3o72b3o73bo5bo71b2o$1659b3o1499bo
73bo227bo145b3o306bo67bo73bo$3159b3o74bo226b3o374bo77bobo63b3o74bo$10b
o79b3o72b3o67b2o4b3o66b3o678b3o72b3o72b3o66b3o72b3o72b3o72b3o72b3o154b
3o65b3o72b3o72b3o72b3o72b3o147b3o72b3o72b3o147b3o72b3o72b3o72b3o72b3o
72b3o72b3o72b3o72b3o146b3o77bo70bo74bo74bo4b2o224bo68bo4bobo67bo7b2o
139b3o$11bo80bo74bo66bobo6bo68bo84bo81bo56bo98bo49bo74bo74bo74bo82bo
74bo65b3o6bo68bo8b2o64bo8bo65bo10bo63bo11b2o61bo156bo67bo74bo74bo74bo
74bo149bo74bo74bo149bo74bo74bo74bo74bo74bo74bo74bo74bo226b2o69b2o73b2o
73b2o3bobo67bo74bo80b2o67b2o3b2o68b2o$9b3o79bo67b2o5bo69bo5bo68bo86bo
81bo56bo98bo49bo74bo74bo74bo80bo74bo68bo5bo68bo8b2o64bo8b2o64bo10b2o
62bo12bobo59bo91bo64bo67bo9b2o63bo10b2o62bo11bo62bo11b2o61bo149bo74bo
74bo149bo74bo74bo74bo74bo74bo74bo74bo74bo73bo152bobo68bobo72bobo72bobo
3bo69b2o74bo78bobo66bobo72bobo74bo$160b2o234b3o79b3o54b3o96b3o47b3o72b
3o72b3o72b3o223bo86bo72bobo74bobo74bo154bo140b2o74b2o74b2o74bobo159bo
59bo74b3o887b2o73bo373bobo72b3o73b2o223b2o74bo$159bo1442b3o142bo75bo
73bobo73bo162bo57b2o74bo139bo83b3o73b3o72b2o74bo75b2o72b2o67b2o217bobo
73b2o522bobo223bobo72b2o$10b3o2121b3o57bobo74bo139bo82bo75bo74bobo72b
2o74b2o73bobo67b2o291bobo72b2o450bo298bobo$12bo384b3o79b3o54b3o96b3o
47b3o72b3o72b3o72b3o1496b3o83bo75bo73bo74bobo75bo72bo68bo369b2o373bo$
11bo72b3o312bo81bo56bo98bo49bo74bo74bo74bo690b3o435b2o976bo289bo375b2o
$86bo311bo81bo56bo98bo49bo74bo74bo74bo147b2o544bo435bobo91b3o880b2o74b
2o588bobo$85bo974b2o542bo436bo95bo272b3o605bobo72b2o$1059bo1076bo275bo
682bo$2343bo67bo$2342b2o$2342bobo$314b2o$314bobo$314bo$1515b3o$1515bo$
1516bo63$11bo70bo4bo69bo79bo68bo81bo68bo74bo84bo75bo62bo76bo88bo60bo
74bo73bo78bo71bo73bo79bo79bo76bo75bo62bo74bo4bo69bo72bobo73bo5bo75bo
68bo7bo66bo81bo75bo65bo73bobo84bobo66bo88bo60bo76bo79bo67bo74bo74bo72b
o76bo74bo74bo68bobo14bo63bo4bo69bo74bo74bo68bo86bo$12bo70bob2o71bo73bo
3b2o68bobo80bo68bo74bo84bo75bo62b2o75bo88bo57bobo75bo73bo78bo71bo73bo
79bo79bo76bo75bo62bo74bo2b2o70bo72b2o73b2o5bo75bo68bo4b2o68bo81bo64bo
10bo65bo73b2o84b2o65b2o87b2o59b2o75b2o78b2o66b2o73b2o73b2o71b2o75b2o
73b2o73b2o70b2o12b2o62b2o4bo68b2o73b2o73b2o70b2o7bo70bo3b2o$10b3o68b3o
2b2o68b3o74bo2bobo67b2o79b3o66b3o72b3o82b3o73b3o61b2o11bo62b3o71bobo
12b3o58b2o7bo65b3o71b3o76b3o69b3o71b3o72bobo2b3o77b3o74b3o73b3o60b3o
72b3o2bobo67b3o4bo67bo73bobo3b3o73b3o66b3o5b2o65b3o73bo5b3o65b2o6b3o
63b3o73bo86bo66b2o87b2o59b2o75b2o78b2o66b2o73b2o73b2o71b2o75b2o73b2o
73b2o69bo14b2o62b2o3b3o67b2o73b2o73b2o68b2o6b2o69b2o5b2o$231b3o228bo
77bo67bo73bo87bo136b2o83bo439b2o453b2o442bobo72b2o299bo88bo60bo27bo48b
o79bo67bo74bo74bo149bo74bo74bo85bo63bo74bo74bo74bo82b2o69b2o$462bobo
75bobo63bobo74bo84b3o136bo82b3o148bo290bo455b2o217bo224b2o374bo88bo60b
o24b2o50bo79bo67bo74bo74bo149bo74bo74bo85bo63bo74bo74bo74bo77bo70bo$
12bo70bo74bo3b3o224bo68bo3b2o69bo6b2o65b2o6b2o64b3o7b2o138b2o87b2o134b
2o84bo66b2o70b2o85bo66b2o69b2o7b2o65b2o8b2o63bo10b2o61b2o7b2o64b2o73b
2o153b2o70bo3b2o67b2o73b2o80b2o74b2o290b3o86b3o58b3o25b2o47b3o70b2o5b
3o65b3o4bo67b3o3b2o67b3o6b2o139b3o72b3o72b3o83b3o61b3o72b3o72b3o72b3o
78bo70bo$11b2o69b2o73b2o3bo70bo73bo80b2o67b2o73b2o81bobo73bobo137bobo
86bobo133bobo2b2o77b3o66bobo69bobo2b3o80bo65bobo69b2o6bobo63bobo8bobo
62b2o9bobo60bobo5b2o65bobo72bobo152bobo67b3o3bobo66bobo72bobo79bobo73b
obo590b2o79b2o73b2o74b2o71bo455b3o64b2o148b3o68b3o$11bobo68bobo72bobo
3bo68b2o74bo79bobo66bobo72bobo80bo75bo75b2o62bo88bo68b2o65bo3b2o147bo
71bo4bo80b3o65bo70bo8bo67bo8bo63bobo9bo62bo9bo64bo74bo81bo72bo75bo68bo
74bo81bo75bo73bo517bo80bobo72bo78bo68b2o456bo66bobo$232bobo71b3o73b2o
383bobo219bobo70bo224bo676bo299b2o220b2o76bo72bo673b2o71b2o383bo65bo
74bo$381bobo383bo221bo149b2o821b3o299bobo220b2o73b2o71b2o670bo75b2o73b
3o448b2o$6b2o375bo755bobo224b2o896bo218bo79b2o71b2o670bo76bo72bo450bob
o$7b2o299bo830bo226bobo1115bo74bo72bo673b3o150bo$6bo300b2o897b3o157bo
594b2o519b3o75bo72bo297b3o599b2o$307bobo898bo752bobo594b3o70b3o299bo
599bobo$834b3o370bo753bo970bo600bo$834bo$835bo$2782b2o$2719b2o60bobo$
2719bobo61bo$2719bo58$7bobo73bo75bo70bo84bo73bo74bo71bo78bo68bo74bo74b
o68bobo87bobo63bo69bo90bo$7b2o73bo74b2o69bobo83bo72b2o73b2o70b2o77b2o
67b2o73b2o73b2o70b2o87b2o62b2o71bo87b2o$8bo73b3o73b2o69b2o3bo74bo4b3o
71b2o73b2o70b2o77b2o67b2o73b2o73b2o69bo89bo63b2o68b3o88b2o$154bo77b2o
73b2o75bo74bo71bo78bo68bo74bo74bo224bo160bo$155bo77b2o73b2o75bo74bo71b
o78bo68bo74bo74bo224bo160bo$9bo143b3o73bo74bo78b3o72b3o69b3o76b3o66b3o
72b3o72b3o79bo73bo68b3o158b3o$7b2o75bo145bo74bo602b2o72b2o151bo$8b2o
72b2o144b3o72b3o603b2o72b2o148b2o$4bo78b2o72b3o369b2o374bo73bo154b2o$
5bo73bo77bo370b2o155bo220bo73bo149bo$3b3o74bo77bo371bo153b2o73b3o82b3o
57b3o71b3o150bo$78b3o297b3o222b2o79bobo72bo84bo210b3o71b3o$380bo72b3o
148b2o154bo84bo211bo146b2o$379bo75bo147bo452bo146bobo$454bo750bo!

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GUYTU6J
Posts: 1309
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Re: 20-bit still life syntheses

Post by GUYTU6J » January 11th, 2021, 10:20 pm

ENORMOUS_NAME wrote:
January 11th, 2021, 2:39 pm
help idk how to synthesize this r pentomino

Code: Select all

partial synth
The glider + beehive trick works if the blinker is inserted later.

Code: Select all

x = 61, y = 48, rule = LifeHistory
33.A$34.A$32.3A$54.A$54.A.A$54.2A$12.A$13.2A16.A$12.2A16.A$30.3A7$15.
3A18.D$17.A17.2D2.2A$16.A17.D2.DA2.A$34.D.D2.2A$35.2D8.A8.A$44.2A6.2A
$44.A.A6.2A3$31.2A$30.A.A$30.2A7$.2A$A.A$2.A3$30.2A$29.A.A$31.A2$58.
2A$58.A.A$33.2A23.A$34.2A$33.A!
The rest is cleanup.
Lifequote:
In the drama The Peony Pavilion, Tang Xianzu wrote: 原来姹紫嫣红开遍,似这般都付与断井颓垣。
(Here multiflorate splendour blooms forlorn
Midst broken fountains, mouldering walls.)
I'm afraid there's arrival but no departure.

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dvgrn
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Re: 20-bit still life syntheses

Post by dvgrn » January 13th, 2021, 1:21 pm

Might xs20_c4go3dg628czy111 be a good candidate for a spark_search run? The second soup out of seven does something like this:

Code: Select all

x = 24, y = 15, rule = B3/S23
22bo2$11b2o7b2obo$11b2o4b2o3bo$o4bo11b2o4bo$b4o2bo8bobo$o2b2o3bo2b2o4b
o3bo$2bo5bobo2bobo5bo$2bo3bo4b2o2bo3b2o2bo$5bobo8bo2b4o$o4b2o11bo4bo$b
o3b2o4b2o$ob2o7b2o2$bo!
Of the other soups, the one that caught my eye the most was this one, but I didn't see offhand how to turn it into a recipe.

EDIT: The fourth soup for xs20_gbhmkicz1226 allows for a reasonably nice 12G synthesis:

Code: Select all

x = 131, y = 50, rule = B3/S23
5bo$6bo32bo$4b3o30b2o$38b2o$bo$2bo$3o$45bobo$45b2o$46bo5$5bo$6bo$4b3o
2$30bobo$30b2o$31bo3$115b2o$112bobobo$111bob2o$111bo4bo$112b4obo$117bo
$114b3o$114bo8bo$122bobo$34bo87bo2bo$32b2o89b2o3b3o$33b2o93bo$129bo$
18bobo$19b2o$19bo2$39bo$38b2o$38bobo2$48b2o$47b2o$49bo$15b2o$14bobo$
16bo!
Maybe someone can reduce it by a glider or two -- I didn't try to find 3G recipes for any groups of three blinkers, for example.

EDIT2 NEXT DAY: A synthesis a day keeps the men in white coats away... so far. Here's xs20_354mk2sgzw343, ugly but serviceable, in 11 gliders:

Code: Select all

x = 94, y = 97, rule = LifeHistory
63.A$62.A$62.3A33$.A$2.A$3A10$16.2A3.A$15.A.A2.2A23.AB$17.A2.A.A21.BA
BA$6.A36.2B2A$7.A34.4B$5.3A32.5B$40.B2DB$37.2D2B2D$9.2D26.2D3B$8.D2.D
26.4B$9.D.D27.4B$10.D29.B3A$16.2A23.A2B$16.A.A23.A$16.A2$28.2D$27.D2B
D$28.2D2B$28.3B2A$26.3B.BABA$25.4B2.AB$24.2A2B$23.ABAB$24.BA23$91.2A$
91.A.A$91.A!
The six soups have five different mechanisms for building this thing, so if someone competent wants to look, there's very likely a reduction to be found here.

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Re: 20-bit still life syntheses

Post by ENORMOUS_NAME » January 15th, 2021, 3:00 pm

xs20_4airia4z06426
51 gliders.

Code: Select all

x = 568, y = 236, rule = B3/S23
176bo241bo$177b2o237b2o$176b2o239b2o$216bo161bo$214bobo161bobo$215b2o
161b2o11$196bo201bo$197b2o197b2o$196b2o199b2o18$191bo211bo$189bobo211b
obo$190b2o211b2o17$30bo$30bobo$30b2o2$24bo$22bobo$23b2o4$40b2o$40bobo
$40bo2$33b2o$32bobo$34bo512bo$545bobo$546b2o$6bo$6bobo$6b2o$2bo$obo$b
2o$537bo5bo$10bo51b2o474b2o2bo16bo5bo$11bo50bobo472b2o3b3o13bobo3bobo
$9b3o39bo10bo495bo2bobo2bo$49b2o6b2o498b2ob2ob2ob2o$50b2o4bobo499bo2b
obo2bo$58bo499bobo3bobo$541b2o16bo5bo$12b3o31b2o492b2o$14bo32b2o493bo
$13bo32bo5$546b2o$545bobo$291b3o7b3o243bo2$289bo5bo3bo5bo$289bo5bo3bo
5bo$289bo5bo3bo5bo2$291b3o7b3o13$268b2o55b2o$267bo2bo53bo2bo$268b2o55b
2o3$261b2o69b2o$262b2o67b2o$261bo18b2o31b2o18bo$280b2o31b2o43$248b2o95b
2o$247bobo95bobo$249bo95bo27$185b3o24b2o167b2o24b3o$187bo23bobo167bob
o23bo$186bo26bo167bo26bo3$187b3o215b3o$189bo215bo$188bo217bo3$188b3o213b
3o$190bo213bo$189bo215bo25$414bo$413b2o$413bobo!

Code: Select all

x = 162, y = 27, rule = B3/S23
o$b2o8bo$2o7bobo$10b2o3bo98bo$14bo98bo$14b3o89bo6b3o$107b2o$106b2o47b
o$57bo92b2o2bobo$50bobo5b2o50b2o38bo2bo2bo$17bo33b2o4b2o8b2o3bo37bobo
3bo34bob2ob2o$11b2o3bobo32bo16bo2bobo32b2o4bo2bobo32b2obo2bo$11bobobo
2bo49bobo2bo31bobo3b2obo2bo33bo2bobo$13bob2ob2o38b2o7b2ob2ob2o32bo6b2o
b2o30bobo3bo$11bobobo2bo40b2o7bobo2bo37b2obo2bo31b2o$11b2o3bobo39bo9b
o2bobo38bo2bobo$17bo49b2o3bo37bobo3bo$110b2o2$150bo$142b2o6b2o8bo$14b
3o126b2o4bobo7b2o$14bo127bo11b2o3bobo$10b2o3bo137bobo$2o7bobo143bo$b2o
8bo$o!

Can someone reduce this and submit to ctgl please, idk how to combine the two rle


edit:
dvgrn wrote:Might xs20_c4go3dg628czy111 be a good candidate for a spark_search run? The second soup out of seven does something like this:
Or you could do this.

Code: Select all

x = 124, y = 71, rule = B3/S23
57bo$58bo$56b3o21$95b2o$95b2o$86b2o$85bo2bo12bobo$76bo8bo2bo12b2o$12b
2o63bo8b2o14bo$12b2o61b3o12b2o$3b2o84bobo6bo$2bo2bo82bobo6b2o$2bo2bo83b
o7bobo$3b2o68b2o$7b2o63bobo$6bobo65bo30bo$5bobo97bobo$6bo98b2o$80bobo
7bo$81b2o6bobo$81bo6bobo$88b2o12b3o$77bo14b2o8bo$7bo69b2o12bo2bo8bo$6b
obo67bobo12bo2bo$5bobo84b2o$5b2o76b2o$9b2o72b2o$8bo2bo$8bo2bo$9b2o$2o
$2o16$121b3o$121bo$122bo!

idk how to synthesize the constellation efficiently



edit2

Code: Select all

x = 278, y = 259, rule = B3/S23
12bo$13bo$11b3o7$35bo$36bo$34b3o18$276bo$275bo$275b3o7$56bo198bo$57bo
196bo$55b3o196b3o11$228bo$227bo$227b3o29$183bo$182bo$182b3o32$114bo32b
2o$113bobo31b2o$113bobo$114bo3$131bo21bo$132bo20bo$130b3o20bo2$142b2o
$142b2o2$129b3o14b3o2$134b2o$134b2o2$124bo20b3o$124bo20bo$124bo21bo3$
163bo$162bobo$129b2o31bobo$129b2o32bo32$93b3o$95bo$94bo29$48b3o$50bo$
49bo11$21b3o196b3o$23bo196bo$22bo198bo7$3o$2bo$bo18$241b3o$241bo$242b
o7$264b3o$264bo$265bo!



viewtopic.php?f=11&t=1971&p=111934#p111934

Code: Select all

x = 3, y = 3, rule = B34eny5en/S23-a4iy5e6c
3o$o$2o!


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dvgrn
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Re: 20-bit still life syntheses

Post by dvgrn » January 16th, 2021, 9:01 pm

Today I'm trying to see how to build xs20_cp3sj96z23 without having to deal with this pi-plus-Herschel-descendant collision that pushes a big glob of spacedust into exactly the right configuration:

Code: Select all

x = 187, y = 59, rule = DoubleB3S23
21.A159.A$21.A.A157.A.A$21.2A158.2A19$9.A.A157.A.A$A.A6.2A149.A.A6.2A
$.2A7.A150.2A7.A$.A159.A18$7.A79.B79.C$7.A79.B79.C$7.A7.A71.B7.B71.C
7.C$15.A79.B79.C$15.A79.B79.C2$11.3A3.3A71.3B3.3B71.3C3.3C2$15.A8.A.A
68.B8.B.B68.C8.C.C$15.A8.2A69.B8.2B69.C8.2C$15.A9.A69.B9.B69.C9.C2$8.
2A78.2B78.2C$4.A3.2A10.A63.B3.2B10.B63.C3.2C10.C$3.A.A14.A62.B.B14.B
62.C.C14.C$3.2A8.2A5.A62.2B8.2B5.B62.2C8.2C5.C$13.2A78.2B78.2C!
There are twenty soups for xs20_cp3sj96z23 -- this was from one of the first few soups. I've looked through the rest, but none of them pointed out any better options -- at least, none within my skill range, though many of them boiled down to things that seemed about equally difficult, like

Code: Select all

x = 28, y = 18, rule = B3/S23
18bo3b2obo$16bo4b3o$16bo3bob2o3bo$18b5o3b2o$22bo$10b2o10b2o$8b2ob2o$8b
ob2o3$9bobo$2b3o3bob2o$bo3bo3b2o$o5bo$o5bo$o5bo$bo3bo$2b3o!

Code: Select all

x = 37, y = 41, rule = LifeHistory
35.A$34.A2B$33.B3A$9.D5.D16.4B$7.D2.D3.D16.4B$7.D3.D6.2D10.4B$6.D11.
2D9.4B$5.3D6.D5.D7.4B$6.D5.D6.3D5.4B$7.2D11.D5.4B$7.2D6.D3.D5.4B$12.D
3.D2.D4.4B$11.D5.D4.5B4.AB$21.5B4.BABA$22.2B5.2B2A$22.3B3.4B$22.B2DB.
4B$7.2A12.BD2BD4B$7.2A12.2B2D4B$11.2B.D5.8B$10.3BD.D5.6B$9.4BD2.D3.7B
$8.6B2D4.6B$7.9B4.6B$6.B2DB2.5B4.B2DB$5.2BDBD7B5.2D2B$4.4BD5B2D2B5.4B
$3.10BDBD2B6.4B$2.4B.6BDBD2B7.4B$.A3B3.5B2D3B8.4B$B2AB5.4BDBD3B8.4B$A
BA5.5B3D3B9.4B$7.12B10.2B2A$6.4B2.7B11.2AB$5.2A2B4.4B14.BA$5.B2A6.4B$
5.AB8.4B$16.4B$17.2B2A$18.BABA$19.AB!
(adding boat, loaf and LOM around T=58, something like that)

Code: Select all

x = 33, y = 32, rule = B3/S23
8b3o20b2o$31b2o4$30b2o$30b2o2$8bobo11b3o$bo7b2o$obo6bo$bo15b3o$31b2o$
31b2o5$7bo$7bo$7bo$22b2o$9b2o11bobo$8bobo11bo$10bo6$13b2o$13b2o!
The following looks pretty nice, but I'm having trouble re-creating that dying spark in the northeast. No doubt someone who's actually good at this kind of thing can do better:

Code: Select all

x = 33, y = 26, rule = B3/S23
3$12bo$11b3o$10bobobo$9b3ob3o2b2o$10bobobo6bo$11b3o4bo$12bo5bo3bo$18bo
2bo$19bo3$6b3o$8bo13b2o$7b2o13b2o2$23bo$22bobo$21bo3bo$22bobo$23bo!
EDIT: Yup, they could (see below). 13G is good enough for me:

Code: Select all

x = 0, y = 0, rule = B3/S23
bo$2bo$3o$37bo$36bo$36b3o3$21bo$20bo$20b3o2$19bo$20bo$18b3o12bo$32bo$
32b3o3$12bo16bo$13bo14b2o$11b3o14bobo$16bobo$17b2o$17bo2$15bo$15b2o23b
o$14bobo14bo7b2o$31b2o6bobo$30bobo2$34b3o$34bo$35bo19$46b2o$46bobo$46b
o!

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Kazyan
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Re: 20-bit still life syntheses

Post by Kazyan » January 16th, 2021, 9:43 pm

dvgrn wrote:
January 16th, 2021, 9:01 pm
The following looks pretty nice, but I'm having trouble re-creating that dying spark in the northeast. No doubt someone who's actually good at this kind of thing can do better:

Code: Select all

x = 33, y = 26, rule = B3/S23
3$12bo$11b3o$10bobobo$9b3ob3o2b2o$10bobobo6bo$11b3o4bo$12bo5bo3bo$18bo
2bo$19bo3$6b3o$8bo13b2o$7b2o13b2o2$23bo$22bobo$21bo3bo$22bobo$23bo!
That's a banana spark predecessor, so it's not so bad once you know what you're looking at:

Code: Select all

x = 32, y = 28, rule = B3/S23
30bo$10bo18bo$9bo19b3o$9b3o2$8bo$9bo$7b3o12bo$21bo$21b3o3$bo16bo$2bo
14b2o$3o14bobo$5bobo$6b2o$6bo2$4bo$4b2o23bo$3bobo14bo7b2o$20b2o6bobo$
19bobo2$23b3o$23bo$24bo!
Tanner Jacobi
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Re: 20-bit still life syntheses

Post by calcyman » January 16th, 2021, 11:16 pm

Kazyan wrote:
January 16th, 2021, 9:43 pm
That's a banana spark predecessor, so it's not so bad once you know what you're looking at:

Code: Select all

x = 32, y = 28, rule = B3/S23
30bo$10bo18bo$9bo19b3o$9b3o2$8bo$9bo$7b3o12bo$21bo$21b3o3$bo16bo$2bo
14b2o$3o14bobo$5bobo$6b2o$6bo2$4bo$4b2o23bo$3bobo14bo7b2o$20b2o6bobo$
19bobo2$23b3o$23bo$24bo!
The glider that cleans up the escaping glider can also remove the block:

Code: Select all

x = 31, y = 32, rule = B3/S23
26bo$25bo$25b3o3$10bo$9bo$9b3o2$8bo$9bo$7b3o12bo$21bo$21b3o3$bo16bo$2b
o14b2o$3o14bobo$5bobo$6b2o$6bo2$4bo$4b2o23bo$3bobo14bo7b2o$20b2o6bobo$
19bobo2$23b3o$23bo$24bo!
What do you do with ill crystallographers? Take them to the mono-clinic!

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Re: 20-bit still life syntheses

Post by Sokwe » January 17th, 2021, 1:10 am

xs20_4a9r44ria4 in 14 from a symmetric soup:

Code: Select all

x = 69, y = 48, rule = B3/S23
66bo$66bobo$66b2o7$47bo$45bobo16bo$46b2o15bo$42bo20b3o$43b2o$14bo8bo
18b2o$15bo8bo$13b3o6b3o3$49bo$48bo$48b3o5$18b3o$20bo$19bo3$44b3o6b3o$
44bo8bo$25b2o18bo8bo$24b2o$3b3o20bo$5bo15b2o$4bo16bobo$21bo7$b2o$obo$
2bo!
This apparently implies xs20_4a9r44raa4, but that can be done in 9 from its only soup:

Code: Select all

x = 65, y = 29, rule = B3/S23
10bo$8bobo$9b2o$20bo$20bobo$20b2o3$11bo11bobo$12b2o9b2o$11b2o11bo29b2o
$54b2o2$58bo$6bo46bo3bobo2bo$7bo6bo37bobo3b2o2bobo$5b3o6bobo35bobo7b2o
$14b2o35b2ob2o$53bo$53bo$51b2ob2o$52bo2bo$52bobo$53bo2$16b2o$bo14bobo$
b2o13bo$obo!
-Matthias Merzenich

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Re: 20-bit still life syntheses

Post by ENORMOUS_NAME » January 17th, 2021, 2:19 pm

Code: Select all

x = 49, y = 47, rule = B3/S23
12$22bo$23bo$21b3o$32b2o$12bo19b2o$13bo$11b3o4b3o$20bo13b2o3b2o$19bo5b
o8b2o3b2o$14b3o9bo$16bo7b3o$15bo2$23bo$23b2o$22bobo3$29b2o$29bobo$29b
o2$4b2o$3bobo17b3o$5bo17bo$24bo5b2o$30bobo$30bo$26b2o$25bobo$27bo!

cleanup not included because i suk at it
viewtopic.php?f=11&t=1971&p=111934#p111934

Code: Select all

x = 3, y = 3, rule = B34eny5en/S23-a4iy5e6c
3o$o$2o!


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Re: 20-bit still life syntheses

Post by dvgrn » January 17th, 2021, 2:28 pm

ENORMOUS_NAME wrote:
January 17th, 2021, 2:19 pm

Code: Select all

x = 49, y = 47, rule = B3/S23
12$22bo$23bo$21b3o$32b2o$12bo19b2o$13bo$11b3o4b3o$20bo13b2o3b2o$19bo5b
o8b2o3b2o$14b3o9bo$16bo7b3o$15bo2$23bo$23b2o$22bobo3$29b2o$29bobo$29b
o2$4b2o$3bobo17b3o$5bo17bo$24bo5b2o$30bobo$30bo$26b2o$25bobo$27bo!
cleanup not included because i suk at it
It's an awful lot easier to search for these syntheses, and/or see if they've been done already, if you mention the apgcode in the post. This one is xs20_255q4oz69b41. If it's convenient to provide a few more details, it can also be nice to know which soup the synthesis came from, and whether all the soups were surveyed. Looks like this construction method will probably be able to sneak in just under 20G. (?)

I went after xs20_64kjaicz2543 today, but the first soup was so headache-free that I didn't even want to look at the other ten. Probably there's an improvement hidden in one of those ten soups, over this thoroughly uninspired 17G synth:

Code: Select all

x = 291, y = 81, rule = B3/S23
273bo$272bo$272b3o3$209bobo$210b2o$210bo$197bo$198bo$196b3o18$125bobo$
126b2o$126bo3$122bo14bobo$16bo106b2o12b2o$16bobo103b2o14bo101bo$bo14b
2o221bobo$2bo236bobo$3o237bo$60bo$14bobo44b2o179b3o$14b2o44b2o$15bo69b
o59bo109bo$84bobo57bobo107bobo$84bobo57bobo107bobo$85bo59bo109bo$61bo
15b2o50b2o6b2o100b2o6b2o$62bo14b2o50b2o6b2o100b2o6b2o8bobo$60b3o194b2o
$124b2o108b2o22bo$123bo2bo106bo2bo$123bobo107bobo$124bo109bo7$254bo$
57b2o194b2o$58b2o193bobo$57bo2$241b3o$243bo$242bo12$260b3o25b3o$260bo
27bo$261bo27bo!

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Re: 20-bit still life syntheses

Post by ENORMOUS_NAME » January 17th, 2021, 3:22 pm

I used this soup. i didn't check the others
viewtopic.php?f=11&t=1971&p=111934#p111934

Code: Select all

x = 3, y = 3, rule = B34eny5en/S23-a4iy5e6c
3o$o$2o!


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Re: 20-bit still life syntheses

Post by dvgrn » January 18th, 2021, 1:40 pm

Here's xs20_64km9icz03452 in 11 gliders from the first soup, didn't check the other three:

Code: Select all

x = 153, y = 69, rule = LifeHistory
151.A$150.A$150.3A24$102.BA$101.2A2B$100.2B2A$99.4B$98.4B$97.4B$96.4B
$95.4B$85.B.A6.5B$85.ABA5.2BD5B$86.2A5.2BD6B$94.BD6B$94.10B$95.10B$
95.BD9B$95.BD10B$96.D2B.8B$101.8B$102.3BA4B$103.B2A5B$96.3D5.ABA.4B$
94.2D2.D6.B3.2B2A$94.D2.2D11.BABA$94.3D14.A2B$.D99.A$D.D97.A.A$D.D9.
2A86.A.A$.D9.2A.B86.A$6.D5.BA5.A64.2D20.A$5.D.D10.2AB62.D2BD18.A.A$.A
3.D.D10.A.A61.2B2D19.A.A$B2A3.D12.B63.3B20.A$A.A80.B.3B$.B83.4B$84.A.
2B$83.B2A.B$83.A.A$75.2A7.B$74.2B2A$75.AB$94.2A$93.2A2B$94.BA!
A lot of the xs20s that are listed as having four soups -- or rather, since there aren't any headers, that are listed with "4" next to their apgcode -- actually have only one (symmetric) soup in which they occur four times. Can someone remind me what tools have already been written to report on / maybe provide directly the actual soup links? I know about Freywa's script for C1 soups, which could no doubt be adapted here.

I've also been trying figure out where calcyman's findpreds.py reducer/analyzer script is, that boils down results to the minimum number of smallish islands. I've found a version here. That post promises a newer version in the Shinjuku repository... but I don't see a findpreds.py there. (?)

In any case, I think the unsynthed-xs20s-with-soups list has shrunk quite a bit. Time for a revised list, maybe?

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