HighLife

For discussion of other cellular automata.
User avatar
pifricted
Posts: 968
Joined: May 25th, 2024, 10:26 am
Location: Behind The Great Internet Wall

Re: HighLife

Post by pifricted » November 16th, 2024, 7:56 am

4 common methuselahs:

Code: Select all

x = 199, y = 8, rule = B36/S23
74bo$75bo$73b3o$b3o$bobo192b3o$2o152bo41bobo$76b2o75b3o40bobo$76b2o74b
2obo!
Is there a list of common evolutionary sequences in HighLife?
pifricted's rules & pifricted's Sandbox User:Pifricted
Ehhh…
I’m not a guy good at rule exploration, right?

WhiteHawk
Posts: 1198
Joined: July 10th, 2024, 5:34 pm

Re: HighLife

Post by WhiteHawk » December 2nd, 2024, 1:07 am

Just discovered that Popover (Gourmet variant) works here with alien evolution (block recovers faster due to S6n), perhaps it's weak block spark has some purpose if clearance can be changed.

Code: Select all

x = 32, y = 32, rule = B36/S23
21bo$20bobo2$13b2o3bo3b2o$13b2o2bo5bo$18bobo$20b2o$14b2o$3b2o8bo2bo$b
obo9bobo4bo$o5bo7bo5bo$bo3b2o2b3o8bo2$3bobo16b2o3b2o$4bo12bo3bo2bo2b2o
$8bo7b3o3bobo$7bobo6bobo4bo$3b2o2bo2bo16bo$3b2o3b2o16bobo2$11bo8b3o2b
2o3bo$11bo13bo5bo$11bo5b2o9bobo$16bobo8b2o$16b3o$10b2o$11bobo$8bo5bo2b
2o$8b2o3bo3b2o2$9bobo$10bo!
EDIT: Pi portrater works with stator juggling (EDIT THE FOLLOWING YEAR: Reduced)

Code: Select all

x = 24, y = 24, rule = B36/S23
11b2o$3b2ob2obo4bob2ob2o$4bobo10bobo$bo2bo2b2o6b2o2bo2bo$b3ob2o2b6o2b
2ob3o$4bo2bo8bo2bo$b2obobo10bobob2o$bobobo12bobobo$3bo16bo$bo2bo14bo2b
o$4bo7b3o4bo$o3bo7bobo4bo3bo$o3bo7bobo4bo3bo$4bo14bo$bo2bo14bo2bo$3bo
16bo$bobobo12bobobo$b2obobo10bobob2o$4bo2bo8bo2bo$b3ob2o2b6o2b2ob3o$b
o2bo2b2o6b2o2bo2bo$4bobo10bobo$3b2ob2obo4bob2ob2o$11b2o!
Last edited by WhiteHawk on February 13th, 2026, 3:42 am, edited 2 times in total.
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis

User avatar
roee.s
Posts: 16
Joined: May 25th, 2024, 3:19 pm

Re: HighLife

Post by roee.s » December 12th, 2024, 2:35 pm

While playing around with a replicator I stumbled onto a period-144 puffer (or more accurately a glider puffrake aka dirty rake) I didn't know existed
Predecessor:

Code: Select all

x = 14, y = 14, rule = B36/S23
b3o$o$o$o3$8bobobo$7b6o$6b2o4b2o$7bo2bo$6b2obobo$6bob3ob2o$11bobo$7bob
5o!
Puffer:

Code: Select all

x = 22, y = 16, rule = B36/S23
b3o$o5b2o$o4bo$o8bo$9bo$2bo5bo$bo$bo8bo$5bo4bo$3b2o5bo$7b3o4$19b3o$18b
o2bo!
Debris after 488 steps:

Code: Select all

x = 75, y = 53, rule = B36/S23
47b2o$2o45b2o$obo$o26b2o$27b2o19$62b2o$62b2o6$44b2o$44b2o5$31b2o10b2o
$31b2o10b2o4$73bo$74bo$72b3o$57b3o5$42bo$41bobo$41bobo$42bo!

Code: Select all

x=0y=0rule=23/36
2bo6b4o$obo7b2o$bobo$bo3$2b2o$2bo4$2o13b3o$o2bo10bo$b4o9bo$4b2o8bo$b2obo$b2obobo$o4b2o11$40bo$33b2o3bobo$32b2o3bo4bo$32bo3bob5o$28bo8bo$24b2obobo4bo4b2o$24bob2o2bo3b5obo$25bob5o7bo$26bo4b4o2bo$24bobob2o4bo2b2o$24b2obobo2bo$27bo4b2o$27b2o

User avatar
confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: HighLife

Post by confocaloid » January 22nd, 2025, 12:42 pm

I think these are the highest-population still-life patterns in square-shaped regions (see also Density):

Code: Select all

x = 142, y = 239, rule = B36/S23
2o$2o4$bo$obo$b2o4$2b2o3b2o$bobo2bo2bo$obo3bo2bo$2o5b2o4$2ob2o$2ob2o2$
2ob2o$2ob2o4$2o2b2o2b2o6b2o2b2o$o2bobo2bobo2bo2bobo2bo$b3o6b4o5b2o$4bo
4bo7b2o$b2obo3bobob2o2bo2bobo$b2ob2o3b2ob2o2b2o2b2o4$2ob2obo$bobob2o$o
2bo$3ob3o$3bo2bo$2obobo$ob2ob2o4$2ob2ob2o$2ob2ob2o2$2ob2ob2o$2ob2ob2o
2$2ob2ob2o$2ob2ob2o4$2ob2o2b2o2b2ob2o2b2o2b2o2b2ob2o2b2ob2o2b2o2b2o2b
2ob2o$2obo2bobo2b2obobo2bo2bo2bobob2o2b2obo2bobo2bo2bobob2o$3bob2o7bo
2b2o4b2o2bo9b3o5b2obo$2obo3bo3b3obobo6bob2ob2o2b4o3bo5bo2b4o$obob3obo
2bo2b2o3bo2bobo3bobo2bo2bobo2bo2bo2bobo2bo$2bobo2b2o3bo3b4o2b2ob2o2bo
4bo3b4o2b4o2bo$b2o2bo7b3o9bob2o6b3o10bob2o$o2bobob2o2bobo2bob2o2b2obo
2bobo2bobo2bob2o2b2obobo2bo$2o2b2ob2o2b2o2b2ob2o2b2ob2o2b2o2b2o2b2ob2o
2b2ob2o2b2o4$2obob2ob2o2b2obob2ob2o2b2ob2obob2o2b2ob2ob2obo2b2obob2ob
2o2bo2bob2ob2o2b2ob2ob2obo2b2ob2obob2o2b2ob2ob2obo2b2ob2obob2o2b2ob2ob
ob2o2bob2ob2ob2o$2ob2obob2o3bob2obob2o2b2obob2ob2o2b2ob2obob2o2b2ob2ob
obo3b5obobo3b2obob2ob2o2b2obob2obo4bobob2ob2o3bobob2obo4bobob2ob2o2b2o
bob2obo$6bo5bo5bo8bo14bo11bo2bo8bo2bo5bo11bo5bo2bo2bo8bo2bo4bo3bo2bo
11bo5bo$6ob3o2b6ob3o2b2obob5o2b6ob3o2b2ob3ob3o2b2ob3ob3o2b2obob2ob2o2b
2obob2ob2o2b3ob3ob2o2b3ob3ob2o2b3ob6o2b2obob2ob2o$o5bo2bo8bo2bo3bobobo
3bo2bo5bo2bo2b2obo2bo5b2obo2bo5b2ob2obobo4bobob2obo6bo2bobo6bo2bobo6bo
5bo3bobob2obo$bob2obobo3b2ob2obobo3bo2bo2bobo4bob2obobo6bo2bob2o6bobob
2o8bo2bo2bo2bo5bo2b2obo2bo2bo2b2obobo3bo2b2obob2obo3bo2bo5bo$2obob2ob
2o2b2obob2ob2o2b3ob3ob2o2b2obob2ob2o2b3ob3ob2o2b5obob2o2b6ob3o2b3ob6o
2b2ob3ob3o2b2obob5o2b2ob2obob2o2b3ob6o$3bo11bo4bo6bo8bo2bo4bo3bo2bo8bo
5bo5bo5bo8bo14bo8bo14bo2bo5bo$2obob5o2b2obob2obo3b2obob5o3bobob2obo4bo
bob5o3bob2obob2o3bob2obob2o2b2obob2ob2o2b5obob2o2b2obob2ob2o2b5obobo3b
2obob2ob2o$2ob2obo2bo2bob2ob2ob2o2b2ob2obo2bo2b2ob2obob2o2b2ob2obo2bo
2b2ob2ob2obo2b2obob2ob2o2bob2ob2ob2o2bo2bob2ob2o2bob2ob2ob2o2bo2bob2ob
2o2b2ob2ob2obo3$2obob2ob2o2b2ob2ob2obo2bo2bob2ob2o2bob2ob2ob2o2b2ob2ob
2obo2b2ob2ob2obo2bob2ob2ob2o2b2ob2ob2obo2b2ob2ob2obo2b2ob2ob2obo2b2ob
2obo2bo2bob2ob2ob2o$bob2obob2o2b2ob2obob2o2b5obobo3b2obob2ob2o2b2ob2ob
ob2o3bobob2ob2o2b2ob2obobo3b2ob2obob2o2b2ob2obob2o3bob2obob2o2b2obob5o
2b2obob2ob2o$o5bo11bo11bo2bo5bo14bo5bo2bo14bo2bo8bo11bo6bo4bo8bo11bo$
5obob2o2b6ob3o2b2ob3ob3o2b3ob3ob2o2b6ob3o2b2obob5o2b6ob3o2b5obob2o2b6o
b3o2b2ob2obob2o2b3ob3ob2o2b2obob2ob2o$4bobobo3bo5bo2bo2b2obo2bo5bo2bo
2bob2o2bo5bo2bo3bobobo3bo2bo5bo5bo3bobob2o2bo5bo2bo3bob2obob2o2bo2bo2b
obo3b2ob2obobo$2obo2bo2bo3bob2obobo7bobob2o3bobobo7bob2obobo3bo2bo2bob
o4bob2obob2o3bobo2bo6bob2obobo3bo5bo6bobo2bo2bo8bo2bo$2ob3ob3o2b2obob
2ob2o2b5obob2o2b2obob5o2b2ob2obob2o2b3ob3ob2o2b2obob2ob2o2b2ob3ob3o2b
2ob2obob2o2b6ob3o2b2ob3ob3o2b6ob3o$6bo8bo8bo5bo8bo5bo8bo8bo8bo2bo14bo
2bo3bo4bo2bo8bo2bo3bo4bo5bo5bo$2ob2obob2o2b2obob5o3bob2obob2o2b2obob2o
bo3b2ob2obob2o2b2obob5o3bobob2ob2o2b5obobo4bob2obobo3b2ob2obobo4bob2ob
ob2o3bob2obob2o$ob2ob2ob2o2b2ob2obo2bo2b2obob2ob2o2b2ob2obob2o2b2ob2ob
2obo2b2ob2obo2bo2b2ob2obob2o2bo2bob2ob2o2b2obob2ob2o2b2obob2ob2o2b2obo
b2ob2o2b2ob2ob2obo3$2ob2ob2obo2b2ob2ob2obo2b2ob2obob2o2bob2ob2ob2o2b2o
b2ob2obo2b2ob2obob2o2b2ob2obob2o2b2ob2ob2obo2b2ob2ob2obo2b2obob2ob2o2b
2ob2obo2bo2b2ob2obob2o$bobob2ob2o2b2obob2ob2o3bobob2ob2o2b2ob2obobo4bo
b2obob2o2b2obob2obo3b2obob2obo4bobob2ob2o2b2ob2obob2o2b2ob2obob2o2b2ob
ob5o3bobob2ob2o$o2bo11bo8bo2bo14bo2bo2bo5bo8bo4bo6bo4bo3bo2bo14bo11bo
8bo8bo2bo$3ob6o2b2obob2ob2o2b3ob6o2b6ob3o2b5obob2o2b2obob2ob2o2b3ob3ob
2o2b3ob3ob2o2b6ob3o2b6ob3o2b3ob3ob2o2b3ob6o$3bo5bo2b2ob2obobo6bo5bo2bo
5bo9bobobo3b2ob2obobo3bo2bo2bobo6bo2bobo3bo5bo2bo2bo5bo2bo2bo2bo2bobo
6bo5bo$2obob2obo9bo2bo2b2obob2obo4bob2obob2o2b2obo2bo2bo8bo2bo3bobobo
3bo2b2obobo3bo3bob2obobo4bob2obobo4bobobo3bo2b2obob2obo$2ob2obob2o2b6o
b3o2b2ob2obob2o2b2ob2obob2o2b2ob3ob3o2b6ob3o2b2obob5o2b2obob5o2b2obob
2ob2o2b2obob2ob2o2b2obob5o2b2ob2obob2o$6bo5bo5bo11bo11bo11bo5bo5bo5bo
2bo11bo8bo2bo8bo2bo11bo14bo$2ob2obob2o3bob2obob2o2b2ob2obob2o2b2ob2obo
b2o2b2ob2obob2o3bob2obob2o3bobob2ob2o2b2obob2ob2o3bobob2ob2o3bobob2ob
2o2b2obob2ob2o2b5obob2o$2obob2ob2o2b2ob2ob2obo2b2obob2ob2o2b2ob2ob2obo
2b2ob2ob2obo2b2obob2ob2o2b2ob2obob2o2b2ob2ob2obo2b2ob2obob2o2b2ob2ob2o
bo2b2ob2ob2obo2bo2bob2ob2o3$2ob2ob2obo2b2obob2ob2o2b2obob2ob2o2bob2ob
2ob2o2b2ob2ob2obo2b2ob2ob2obo2bob2ob2ob2o2b2ob2obob2o2b2ob2ob2obo2bob
2ob2ob2o2bo2bob2ob2o2b2ob2ob2obo$2ob2obob2o3bob2obob2o2b2ob2obobo3b2ob
2obob2o3bob2obob2o3bob2obob2o2b2obob2obo3b2obob2ob2o2b2ob2obob2o2b2ob
2obob2o2b5obob2o3bob2obob2o$6bo6bo4bo11bo2bo8bo5bo5bo6bo4bo8bo4bo6bo
14bo11bo11bo5bo5bo$2ob3ob3o2b2ob2obob2o2b2ob3ob3o2b6ob3o2b6ob3o2b2ob3o
b3o2b2obob2ob2o2b2obob2ob2o2b5obob2o2b2ob3ob3o2b2ob3ob3o2b2ob2obob2o$
2obo2bo2bo3bob2obob2o3bobo2bo5bo5bo2bo8bo2bo3bobo2bo2bo3bobob2obo4bobo
b2obo3bo3bobobo3b2obo2bo2bo2b2obo2bo2bo3bob2obob2o$4bobobo3bo5bo5bo3bo
bob2o3bob2obobo3b2ob2obobo3bo2bo2bobo3bo2bo5bo2bo2bo5bo3bobo2bo2bo6bob
obo7bobobo3bo5bo$5obob2o2b6ob3o2b5obob2o2b2ob2obob2o2b2ob2obob2o2b3ob
3ob2o2b3ob6o2b3ob6o2b2ob3ob3o2b5obob2o2b5obob2o2b6ob3o$o5bo2bo8bo2bo8b
o5bo5bo11bo2bo5bo4bo6bo11bo14bo5bo5bo5bo5bo11bo2bo$bob2obobo3b2ob2obob
o3b2ob2obob2o3bob2obob2o2b2ob2obobo3b2obob2obo3b2obob2ob2o2b2obob2ob2o
2b2ob2obob2o3bob2obob2o3bob2obob2o2b2ob2obobo$2obob2ob2o2bob2ob2ob2o2b
2obob2ob2o2b2obob2ob2o2bob2ob2ob2o2b2ob2obob2o2bob2ob2ob2o2bob2ob2ob2o
2b2ob2ob2obo2b2ob2ob2obo2b2obob2ob2o2b2obob2ob2o3$2obob2ob2o2b2ob2ob2o
bo2b2ob2obob2o2b2ob2ob2obo2b2ob2ob2obo2b2ob2ob2obo2b2ob2ob2obo2bob2ob
2ob2o2b2ob2obob2o2b2ob2obo2bo2bob2ob2ob2o2b2ob2obob2o$bob2obob2o3bobob
2ob2o2b2obob2obo3b2obob2ob2o3bob2obob2o2b2ob2obob2o2b2obob2ob2o2b2ob2o
bob2o3bobob2ob2o2b2obob5o2b2ob2obob2o2b2obob2ob2o$o5bo5bo2bo11bo5bo5bo
8bo5bo11bo8bo14bo5bo2bo11bo14bo8bo$6ob3o2b2obob2ob2o2b2obob2ob2o2b2obo
b2ob2o2b2ob3ob3o2b6ob3o2b2obob5o2b2ob2obob2o2b3ob6o2b3ob3ob2o2b2ob3ob
3o2b3ob6o$6bo2bo3bob2obobo3b2ob2obobo4bob2obobo4bobo2bo2bo2bo5bo2bo2b
2obobo3bo2b2obob2ob2o5bo5bo2bo2bo2bob2o3bobo2bo2bo2bo2bo5bo$2ob2obobo
3bo5bo2bo8bo2bo2bo5bo2bo2bo2bo2bobo4bob2obobo6bo2bobo6bo8b2obob2obo4bo
bo2bo5bo3bobobo4bobob2obo$2obob2ob2o2b6ob3o2b6ob3o2b6ob3o2b3ob3ob2o2b
2ob2obob2o2b3ob3ob2o2b3ob6o2b2ob2obob2o2b2ob3ob3o2b5obob2o2b2obob2ob2o
$3bo14bo5bo5bo11bo8bo8bo5bo2bo2bo2bo4bo3bo2bo5bo8bo2bo3bo4bo2bo8bo8bo$
2obob2ob2o2b2ob2obob2o3bob2obob2o2b2ob2obob2o2b2obob5o3bob2obobo4bobob
2obo4bobob2obo3b2ob2obobo4bob2obobo3b2ob2obob2o2b2obob2ob2o$2ob2obob2o
2bob2ob2ob2o2b2obob2ob2o2b2ob2ob2obo2b2ob2obo2bo2b2obob2ob2o2b2ob2obob
2o2b2ob2obob2o2bob2ob2ob2o2b2obob2ob2o2b2obob2ob2o2b2ob2obob2o3$ob2ob
2ob2o2b2ob2ob2obo2bob2ob2ob2o2b2ob2ob2obo2b2obob2ob2o2bob2ob2ob2o2b2ob
2ob2obo2bob2ob2ob2o2b2ob2ob2obo2b2ob2ob2obo2b2ob2ob2obo2b2ob2ob2obo$2o
bob2obo4bobob2ob2o2b2obob2ob2o2b2obob2ob2o2b2ob2obobo3b2ob2obob2o2b2ob
ob2ob2o2b2obob2obo3b2obob2ob2o2b2ob2obob2o2b2ob2obob2o2b2obob2ob2o$3bo
4bo3bo2bo11bo11bo14bo2bo8bo8bo11bo4bo6bo14bo11bo8bo$3ob3ob2o2b2obob5o
2b3ob3ob2o2b2obob2ob2o2b2ob3ob3o2b2ob2obob2o2b2obob5o2b3ob3ob2o2b2obob
2ob2o2b2ob2obob2o2b6ob3o2b2obob5o$o2bo2bobo4bobobo3bo2bo2bo2bobo4bob2o
bobo3b2obo2bo5b2ob2obob2o2b2obobo3bo2bo2bo2bobo4bob2obob2o2b2ob2obobo
3bo5bo2bo3bobobo3bo$bobobo3bo2bo2bo2bobo4bobo2bo2bo2bo5bo2bo6bobob2o8b
o8bo2bobo4bobo2bo2bo2bo5bo11bo2bo3bob2obobo3bo2bo2bobo$2obob5o2b3ob3ob
2o2b2ob3ob3o2b6ob3o2b5obob2o2b6ob3o2b3ob3ob2o2b2ob3ob3o2b6ob3o2b6ob3o
2b2ob2obob2o2b3ob3ob2o$o2bo11bo4bo9bo11bo5bo5bo5bo5bo2bo2bo2bo5bo2bo5b
o11bo2bo2bo5bo11bo8bo$bobob2ob2o2b2obob2obo3b2ob2obob2o2b2ob2obob2o3bo
b2obob2o3bob2obobo4bobob2obo4bob2obob2o2b2ob2obobo4bob2obob2o2b5obob2o
2b2obob2ob2o$2ob2obob2o2bob2ob2ob2o2b2obob2ob2o2b2obob2ob2o2b2obob2ob
2o2b2obob2ob2o2b2ob2obob2o2b2ob2ob2obo2bob2ob2ob2o2b2ob2ob2obo2bo2bob
2ob2o2b2ob2obob2o3$2ob2ob2obo2bob2ob2ob2o2b2ob2obob2o2b2ob2obo2bo2b2ob
ob2ob2o2bob2ob2ob2o2b2ob2ob2obo2bob2ob2ob2o2bob2ob2ob2o2b2ob2ob2obo2b
2ob2obo2bo2b2obob2ob2o$bobob2ob2o2b2ob2obobo4bobob2ob2o2b2obob5o2b2ob
2obobo3b2ob2obobo3b2obob2ob2o2b2ob2obob2o2b2ob2obobo3b2obob2ob2o2b2obo
b5o2b2ob2obobo$o2bo14bo2bo2bo2bo11bo14bo2bo8bo2bo5bo14bo11bo2bo5bo11bo
14bo2bo$2obob2ob2o2b2ob3ob3o2b3ob3ob2o2b2obob2ob2o2b2ob2obob2o2b2ob3ob
3o2b3ob6o2b2ob2obob2o2b2ob3ob3o2b2obob2ob2o2b2obob2ob2o2b2ob3ob3o$bobo
b2obo3b2obo2bo8bo2bob2o2b2ob2obobo3b2ob2obobo4bobo2bo5bo2bo5bo3bob2obo
bo4bobo2bo6bobob2obo3b2ob2obob2o3bobo2bo$o2bo5bo6bobob2o2b2obo2bo11bo
2bo8bo2bo2bo3bobob2o3bobob2obo3bo5bo2bo2bo3bobob2o2bo2bo5bo8bo5bo3bobo
b2o$3ob6o2b5obob2o2b2ob3ob3o2b6ob3o2b6ob3o2b5obob2o2b2obob2ob2o2b6ob3o
2b5obob2o2b3ob6o2b6ob3o2b5obob2o$3bo8bo5bo11bo2bo2bo5bo5bo5bo11bo5bo2b
o5bo8bo11bo8bo8bo5bo2bo8bo$2obob2ob2o3bob2obob2o2b2ob2obobo4bob2obob2o
3bob2obob2o2b2ob2obob2o3bobob2obo3b2ob2obob2o2b2ob2obob2o2b2obob2ob2o
3bob2obobo3b2ob2obob2o$ob2ob2ob2o2b2ob2ob2obo2b2obob2ob2o2b2obob2ob2o
2b2obob2ob2o2b2obob2ob2o2b2ob2obob2o2bob2ob2ob2o2b2ob2ob2obo2bob2ob2ob
2o2b2obob2ob2o2b2ob2ob2obo3$ob2ob2ob2o2bob2ob2ob2o2b2ob2obo2bo2b2ob2ob
2obo2b2ob2ob2obo2bo2bob2ob2o2b2obob2ob2o2bo2bob2ob2o2b2ob2ob2obo2b2ob
2ob2obo2b2ob2obob2o2bob2ob2ob2o$2obob2ob2o2b2ob2obob2o2b2obob5o2b2obob
2ob2o2b2obob2ob2o2b5obobo4bob2obob2o2b5obob2o2b2obob2ob2o3bobob2ob2o3b
obob2ob2o2b2obob2obo$3bo14bo8bo11bo11bo14bo2bo2bo5bo11bo8bo8bo2bo8bo2b
o11bo4bo$3ob3ob2o2b6ob3o2b2obob2ob2o2b3ob6o2b3ob6o2b2ob3ob3o2b6ob3o2b
2ob3ob3o2b2obob5o2b2obob5o2b3ob6o2b2obob2ob2o$o2bo2bob2o2bo5bo2bo2b2ob
ob2obo3bo2bo5bo2bo2bo5bo2b2obo2bo11bo2bo2b2obo2bo2bo3bobobo3bo3bobobo
3bo5bo5bo2b2obob2obo$bobo2bo6bob2obobo6bo5bo3bobob2obo4bobob2obo6bo2bo
b2o2b2ob2obobo6bo2bobo3bo2bo2bobo3bo2bo2bobo3b2obob2obo6bo5bo$2ob3ob3o
2b2obob2ob2o2b3ob6o2b2ob2obob2o2b2obob2ob2o2b3ob3ob2o2b2ob2obob2o2b3ob
3ob2o2b3ob3ob2o2b3ob3ob2o2b2obob2ob2o2b3ob6o$bo4bo2bo2bo2bo8bo2bo9bo4b
o5bo2bo4bo3bo2bo14bo5bo2bo5bo5bo11bo11bo8bo2bo$bob2obobo4bobob5o3bobob
2ob2o3bob2obob2o3bobob2obo4bobob5o2b5obob2o3bobob2obo3b2obob2ob2o2b2ob
ob2ob2o2b2obob2ob2o3bobob2ob2o$2obob2ob2o2b2ob2obo2bo2b2ob2obob2o2b2ob
2ob2obo2b2ob2obob2o2b2ob2obo2bo2bo2bob2ob2o2b2ob2obob2o2b2ob2ob2obo2b
2ob2ob2obo2bob2ob2ob2o2b2ob2ob2obo3$2ob2obo2bo2b2ob2obob2o2bob2ob2ob2o
2b2ob2obob2o2b2ob2obob2o2b2ob2ob2obo2b2ob2ob2obo2bob2ob2ob2o2bob2ob2ob
2o2b2ob2ob2obo2bob2ob2ob2o2b2ob2obo2bo$2obob5o2b2obob2obo3b2ob2obobo3b
2obob2ob2o2b2obob2ob2o3bob2obob2o2b2obob2ob2o2b2obob2ob2o2b2ob2obob2o
2b2ob2obob2o2b2obob2ob2o3bobob5o$3bo11bo4bo9bo2bo5bo11bo8bo5bo8bo11bo
14bo11bo8bo8bo2bo$3ob3ob2o2b3ob3ob2o2b2ob3ob3o2b2obob2ob2o2b2obob2ob2o
2b2ob2obob2o2b2obob5o2b3ob3ob2o2b2ob2obob2o2b2ob2obob2o2b3ob3ob2o2b3ob
3ob2o$o2bo2bobo3bo2bo2bobo4bobo2bo6bobob2ob2o3bob2obobo4bobob2obo4bobo
bo3bo2bo2bo2bobo3b2ob2obobo3b2ob2obobo3bo2bo2bob2o5bo2bobo$bobo2bo2bo
3bobo2bo2bo2bo2bo2bob2o2bo2bo8bo5bo2bo2bo2bo5bo2bo2bo2bobo4bobo2bo2bo
8bo2bo8bo2bo3bobo2bo5b2obo2bo2bo$2ob3ob3o2b2ob3ob3o2b3ob3ob2o2b3ob6o2b
6ob3o2b3ob6o2b3ob3ob2o2b2ob3ob3o2b6ob3o2b6ob3o2b2ob3ob3o2b2ob3ob3o$6bo
5bo5bo8bo11bo5bo8bo8bo11bo9bo4bo5bo5bo5bo5bo11bo2bo8bo$5obob2o3bob2obo
b2o2b2obob2ob2o2b2obob2obo3b2ob2obob2o2b2obob2ob2o2b2obob2ob2o3bob2obo
b2o3bob2obob2o3bob2obob2o2b2ob2obobo3b2ob2obob2o$o2bob2ob2o2b2obob2ob
2o2bob2ob2ob2o2b2ob2obob2o2bob2ob2ob2o2b2ob2ob2obo2bob2ob2ob2o2b2obob
2ob2o2b2obob2ob2o2b2obob2ob2o2b2obob2ob2o2bob2ob2ob2o3$2ob2ob2obo2b2ob
2obob2o2b2ob2ob2obo2bob2ob2ob2o2bo2bob2ob2o2b2ob2obob2o2b2ob2obob2o2b
2ob2ob2obo2b2ob2ob2obo2bob2ob2ob2o2b2ob2ob2obo2b2ob2ob2obo$bob2obob2o
2b2obob2ob2o2b2obob2ob2o2b2ob2obobo3b5obobo4bobob2ob2o2b2obob2ob2o2b2o
bob2ob2o2b2obob2ob2o2b2obob2ob2o2b2obob2ob2o2b2ob2obob2o$o5bo8bo11bo
14bo2bo8bo2bo2bo2bo11bo11bo11bo11bo11bo14bo$2ob3ob3o2b3ob6o2b3ob6o2b2o
b3ob3o2b2ob3ob3o2b3ob3ob2o2b3ob3ob2o2b3ob6o2b3ob6o2b3ob3ob2o2b3ob3ob2o
2b6ob3o$bobo2bo2bo2bo2bo5bo2bo2bo5bo2b2obo2bo6bobo2bo8bo2bobo3bo2bo2bo
b2o2bo2bo5bo2bo2bo5bo2bo2bo2bobo3bo2bo2bob2o2bo5bo2bo$o3bobobo4bobob2o
bo4bobob2obo7bobob2o2bo3bobob2o2b2obo2bo2bo3bobo2bo6bobob2obo4bobob2ob
o4bobo2bo2bo3bobo2bo6bob2obobo$5obob2o2b2obob2ob2o2b2ob2obob2o2b5obob
2o2b5obob2o2b2ob3ob3o2b2ob3ob3o2b2obob2ob2o2b2obob2ob2o2b2ob3ob3o2b2ob
3ob3o2b2ob2obob2o$6bo2bo2bo2bo9bo4bo5bo5bo11bo11bo5bo5bo2bo5bo4bo3bo2b
o8bo5bo5bo5bo2bo8bo2bo$2ob2obobo4bobob5o3bob2obob2o3bob2obob2o2b2ob2ob
ob2o2b5obob2o3bob2obobo3b2obob2obo4bobob2ob2o3bob2obob2o3bob2obobo3b2o
b2obobo$ob2ob2ob2o2b2ob2obo2bo2b2obob2ob2o2b2obob2ob2o2b2obob2ob2o2bo
2bob2ob2o2b2obob2ob2o2bob2ob2ob2o2b2ob2obob2o2b2obob2ob2o2b2obob2ob2o
2b2obob2ob2o3$2ob2ob2obo2b2ob2obob2o2b2obob2ob2o2bob2ob2ob2o2b2ob2ob2o
bo2b2ob2ob2obo2bob2ob2ob2o2b2ob2ob2obo2b2ob2ob2obo2b2ob2obob2o2b2obob
2ob2o2b2obob2ob2o$bobob2ob2o2b2obob2obo3b2ob2obob2o2b2ob2obob2o3bobob
2ob2o2b2obob2ob2o2b2ob2obobo3b2obob2ob2o3bob2obob2o2b2obob2ob2o3bob2ob
obo3b2ob2obob2o$o2bo11bo5bo8bo11bo5bo2bo11bo14bo2bo5bo8bo5bo8bo9bo4bo
2bo8bo$3ob3ob2o2b3ob6o2b2ob3ob3o2b6ob3o2b2obob5o2b2obob2ob2o2b2ob3ob3o
2b2obob5o2b2ob3ob3o2b3ob3ob2o2b2ob3ob3o2b2ob3ob3o$3bo2bobo3bo2bo8b2obo
2bo2bo2bo5bo2bo3bobobo3bo3bob2obobo3b2obo2bo6bobobo3bo3bobo2bo2bo2bo2b
o2bobo4bobo2bo5b2obo2bo2bo$2obo2bo2bo3bobob2ob2o6bobobo4bob2obobo3bo2b
o2bobo3bo5bo2bo5bo2bob2o2bo2bo2bobo3bo3bobobo4bobo2bo2bo2bo2bo2bob2o6b
obobo$2ob3ob3o2b2ob2obob2o2b5obob2o2b2obob2ob2o2b3ob3ob2o2b6ob3o2b3ob
3ob2o2b3ob3ob2o2b5obob2o2b2ob3ob3o2b3ob3ob2o2b5obob2o$6bo11bo5bo5bo8bo
5bo5bo14bo5bo2bo11bo4bo9bo11bo8bo8bo5bo2bo$2ob2obob2o2b2ob2obob2o3bob
2obob2o2b2obob2obo3b2obob2ob2o2b2ob2obob2o3bobob2ob2o2b2obob2obo3b2ob
2obob2o2b5obob2o2b2obob2ob2o3bob2obobo$ob2ob2ob2o2b2ob2ob2obo2b2obob2o
b2o2b2ob2obob2o2b2ob2obob2o2bob2ob2ob2o2b2ob2obob2o2b2ob2obob2o2b2obob
2ob2o2bo2bob2ob2o2b2ob2obob2o2b2obob2ob2o3$2obob2ob2o2b2ob2ob2obo2b2ob
ob2ob2o2bo2bob2ob2o2bob2ob2ob2o2b2obob2ob2o2b2ob2ob2obo2b2ob2ob2obo2b
2ob2obo2bo2b2ob2ob2obo2bob2ob2ob2o2b2obob2ob2o$2ob2obob2o3bob2obob2o3b
ob2obob2o2b5obob2o2b2ob2obob2o2b2ob2obob2o2b2obob2ob2o2b2obob2ob2o2b2o
bob5o2b2obob2ob2o2b2ob2obob2o2b2ob2obob2o$6bo5bo5bo5bo5bo11bo11bo11bo
8bo11bo11bo11bo14bo11bo$6ob3o2b2ob3ob3o2b2ob3ob3o2b2ob2obob2o2b2ob3ob
3o2b2ob3ob3o2b3ob6o2b2obob2ob2o2b3ob3ob2o2b3ob3ob2o2b2ob3ob3o2b2ob3ob
3o$o5bo2bo3bobo2bo2bo3bobo2bo2bo3bob2obobo3b2obo2bo2bo3bobo2bo2bo2bo2b
o5bo3bobob2obo3bo2bo2bobo3bo2bo2bobo4bobo2bo2bo3bobo2bo2bo$bob2obobo3b
o2bo2bobo3bo2bo2bobo3bo5bo2bo5bo2bobo3bo3bobobo4bobob2obo3bo2bo5bo3bob
o2bo2bo3bobo2bo2bo2bo2bo2bobo3bo2bo2bobo$2ob2obob2o2b3ob3ob2o2b3ob3ob
2o2b6ob3o2b3ob3ob2o2b5obob2o2b2obob2ob2o2b3ob6o2b2ob3ob3o2b2ob3ob3o2b
3ob3ob2o2b3ob3ob2o$bo4bo8bo5bo5bo5bo8bo5bo2bo14bo8bo11bo8bo5bo5bo5bo8b
o11bo$bob2obob2o2b2obob2obo3b2obob2obo3b2ob2obob2o3bobob2ob2o2b2ob2obo
b2o2b2obob2ob2o2b2obob2ob2o3bob2obob2o3bob2obob2o2b2obob2ob2o2b2obob2o
b2o$2obob2ob2o2bob2ob2ob2o2b2ob2obob2o2bob2ob2ob2o2b2ob2obob2o2b2obob
2ob2o2b2ob2obob2o2b2ob2obob2o2b2obob2ob2o2b2obob2ob2o2b2ob2obob2o2b2ob
2obob2o4$2ob2ob2ob2o$2ob2ob2ob2o2$2ob2ob2ob2o$2ob2ob2ob2o2$2ob2ob2ob2o
$2ob2ob2ob2o2$2ob2ob2ob2o$2ob2ob2ob2o4$2ob2obob2obo$bobob2obob2o$o2bo
4bo$3ob4ob3o$3bo4bo2bo$2obob2obobo$bobob2obob2o$o2bo4bo$3ob4ob3o$3bo4b
o2bo$2obob2obobo$ob2obob2ob2o!
edit 2: added 144 still-life patterns with bounding box 10-by-10 and population 54 bits.
edit 3: added 11-by-11 and 12-by-12.

Linking WIP ideas for synthesis components, some of those may be already solved/known: viewtopic.php?p=202120#p202120
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

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ThePlayzr
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Re: HighLife

Post by ThePlayzr » May 10th, 2025, 8:18 am

anyone got a gilder gun for this rule? :?:
Please help me prove b3s23-a5 omniperiodic!
Please visit my ruleset and contribute!
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Finally got LLS! Time to do way too much searching!

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confocaloid
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Re: HighLife

Post by confocaloid » May 10th, 2025, 8:33 am

Forum search: search.php?keywords=gun&t=2332&sf=msgonly
ThePlayzr wrote:
May 10th, 2025, 8:18 am
anyone got a gilder gun for this rule? :?:
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

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Re: HighLife

Post by ThePlayzr » May 10th, 2025, 8:57 am

thanks confocaloid, and I found this p96 gun in the forum that deserves a spot on catalogue.

Code: Select all

x = 41, y = 69, rule = B36/S23
6b2o$6b2o8$10bo$9b2o$8bobo$7b3o2$13b3o$12bobo$12b2o$12bo8$31b2o$31b2o$
22bobo$22b2o$23bo4$24b2o4bo$24b2o2bobo$29bobo$29bo
Please help me prove b3s23-a5 omniperiodic!
Please visit my ruleset and contribute!
User:ThePlayzr
Finally got LLS! Time to do way too much searching!

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roee.s
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Re: HighLife

Post by roee.s » May 10th, 2025, 3:31 pm

ThePlayzr wrote:
May 10th, 2025, 8:18 am
anyone got a gilder gun for this rule? :?:
There is also a p24 shuttle based gun:

Code: Select all

x = 37, y = 24, rule = B36/S23
21bo$19b3o$18bo$18b2o3$16bo$15bobo$14b2ob2o$14b2ob2o$15b3o$16bo4$35b2o
$2o33bo$bo31bobo$bobo29b2o$2b2o5bo17b2o$7b2obo15b2obo$7bo3bo15b2o$7b2o
bo$9bo!
(rle copied from the wiki)

Code: Select all

x=0y=0rule=23/36
2bo6b4o$obo7b2o$bobo$bo3$2b2o$2bo4$2o13b3o$o2bo10bo$b4o9bo$4b2o8bo$b2obo$b2obobo$o4b2o11$40bo$33b2o3bobo$32b2o3bo4bo$32bo3bob5o$28bo8bo$24b2obobo4bo4b2o$24bob2o2bo3b5obo$25bob5o7bo$26bo4b4o2bo$24bobob2o4bo2b2o$24b2obobo2bo$27bo4b2o$27b2o

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b-engine
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Re: HighLife

Post by b-engine » May 13th, 2025, 6:13 pm

ThePlayzr wrote:
May 10th, 2025, 8:57 am
thanks confocaloid, and I found this p96 gun in the forum that deserves a spot on catalogue.

Code: Select all

x = 41, y = 69, rule = B36/S23
6b2o$6b2o8$10bo$9b2o$8bobo$7b3o2$13b3o$12bobo$12b2o$12bo8$31b2o$31b2o$
22bobo$22b2o$23bo4$24b2o4bo$24b2o2bobo$29bobo$29bo!
Catagolue is for natural objects, not engineered objects such as this one.
See censuses of HighLife.

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Re: HighLife

Post by ThePlayzr » May 14th, 2025, 6:15 am

oooohhhhhhhhhhhhhh ok
b-engine wrote:
May 13th, 2025, 6:13 pm
ThePlayzr wrote:
May 10th, 2025, 8:57 am
thanks confocaloid, and I found this p96 gun in the forum that deserves a spot on catalogue.

Code: Select all

x = 41, y = 69, rule = B36/S23
6b2o$6b2o8$10bo$9b2o$8bobo$7b3o2$13b3o$12bobo$12b2o$12bo8$31b2o$31b2o$
22bobo$22b2o$23bo4$24b2o4bo$24b2o2bobo$29bobo$29bo!
Catagolue is for natural objects, not engineered objects such as this one.
See censuses of HighLife.
Please help me prove b3s23-a5 omniperiodic!
Please visit my ruleset and contribute!
User:ThePlayzr
Finally got LLS! Time to do way too much searching!

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Re: HighLife

Post by dvgrn » May 14th, 2025, 7:05 am

There's a weird exception for guns in the Conway's Life rule specifically -- Catagolue has "true" and "guntrue" categories under its "Syntheses" section, even though it's not actually syntheses of the guns that are being collected.

There's maybe a faint connection to the idea of a gun being a pattern that "synthesizes" glider streams of various periods. But mostly I think it was set up that way as a convenient re-use of some existing infrastructure.

The collecting is only done for B3/S23 glider guns, just because there has been special attention paid to optimizing bounding boxes for that category of gun, starting well back into the previous millennium.

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roee.s
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Re: HighLife

Post by roee.s » May 30th, 2025, 10:37 am

I modified a bellman clone to search patterns in highlife, initially to find a symmetric stable catalyst that flips a loaf back after it interacts with a replicator (like in an eater-3) but I tried other things as well. Specifically, I found a catalyst that performs an eater-3 type catalysis, like the big S, but unlike it, it can also eat gliders:

Code: Select all

x = 12, y = 12, rule = B36/S23
2bo$obo$b2o3$10b2o$7b2o2bo$6bo2b2o$6bobo$7bob2o$5bobobobo$5b2o3bo!
Input file:

Code: Select all

#S first-encounter 1
#S max-live 31
#S max-active 20
#S repair-interval 10
#P 0 0
  @
@ @
 @@   ??????
    **??????
   *????????
   *????????
  ??????????
  ??????????
  ??????????
  ??????????
  ??????????
  ??????????
(The max-live and max-active parameters could have been much lower but it was only after increasing them this much that I thought of adding a row of unknown cells at the north and a column at the west.)
It can also do every other eater-3-type catalysis a big S does, like eating a boat and a beehive predecessor, stabilizing Bullet's p9 and a p24 shuttle, and forming an oscillator when paired with life eater-3's back, and in addition, it can also eat not just gliders but also blocks:

Code: Select all

x = 120, y = 50, rule = B36/S23
40bo$40b3o2b2o$43bo2bo$40b2obobo$39bo2bobo$42bo$20bo22bo$18b3o20b3o$22b
2o21b2o$21bo2bo19bo2bo$21b2obo19b2obo$24bob2o19bob2o$24bo2bo19bo2bo$25b
2o21b2o3$79b2o$79bobo$81bo16bo$77b4o16bobo$76bo21bo$40bo35bobo$36b2ob
o26bo10b2o17b5o$bo18bo16bobo3bo20b2obo6b2o19bo4bo$obo17bo16bo2b2obo20b
o3bo4b3o18bo2bo$b2o16b2o17b2o2b2o20b2obo6b2o15bo2bob2o$4b2o16b2o16bo4b
2o12b2o5bo10b2o11bobobo4b2o$3bo2bo14bo2bo12bobo4bo2bo10bobo15bo2bo11b
o2bo3bo2bo$3b2obo14b2obo12b2o5b2obo10bo17b2obo14b2o2b2obo$6bob2o14bob
2o19bob2o6b2o20bob2o18bob2o$6bo2bo14bo2bo19bo2bo28bo2bo18bo2bo$7b2o16b
2o21b2o30b2o20b2o4$75b2o3bo$75bobobobo16bo$77bob2o16bobo$76bobo19bo$41b
o34bo2b2o$37b2obo25bo10b2o2bo14b5o$bo18bo17bobo3bo19b2obo6b2o4b2o13bo
4bo$obo17bo17bo2b2obo19bo3bo4b3o18bo2bo14b2o$b2o4b2o10b2o4b2o12b2o2b2o
4b2o13b2obo6b2o4b2o9bo2bob2o4b2o8b2o4b2o$4b2o2bo13b2o2bo14bo4b2o2bo8b
2o5bo10b2o2bo8bobobo4b2o2bo11b2o2bo$3bo2b2o13bo2b2o12bobo4bo2b2o8bobo
15bo2b2o10bo2bo3bo2b2o11bo2b2o$3bobo15bobo14b2o5bobo10bo17bobo15b2o2b
obo13bobo$4bob2o14bob2o20bob2o7b2o18bob2o18bob2o12bob2o$2bobobobo11bo
bobobo17bobobobo24bobobobo15bobobobo9bobobobo$2b2o3bo12b2o3bo18b2o3bo
25b2o3bo16b2o3bo10b2o3bo!
You may note that the oscillator that forms with the eater 3 back is p5 and not p4 like the one the big S forms, which is due to the slower repeat time of 5 generations instead of 4, which is the same reason it can eat blocks and gliders.
BTW using mkstill I found another minimal form of Bullet's p9:

Code: Select all

x = 12, y = 9, rule = B36/S23
o$3o$3bo$2b2o4b2o$7bo2bo$5bo2b2obo$4bob2o3bo$4bo3bobo$7b2ob2o!
and in addition to being stabilized by an eater-1, a big S and my new eater-3 replacement, it can also be stabilized by the eater-2 variant posted by pifricted and be dimerized as well:

Code: Select all

x = 34, y = 13, rule = B36/S23
4bo17bo$2obo14b2obo$bobo3bo11bobo3bo$bo2b2obo11bo2b2obo5b2o$2b2o2b2o12b
2o2b2o4bobo$4bo8b2o7bo6bo$bobo4b2obo2bo4bobo4b2o2b2o$b2o5b2ob2o6b2o5b
ob2o2bo$26bo3bobo$8b2ob2o17bob2o$9bobobo15bo$7bo4bo$7b2o!
PS If you also want to run bellman in highlife you can replace the evolve_bitwise file by my version and make the program again:
evolve_bitwise.c
(19.07 KiB) Downloaded 25 times
PPS If you want to run bellman in other rules you can do so by following these steps:
  1. Copy my mkrule file which I translated to python 3 (using the original is also probably fine if you can run python 2 but I wouldn't recommend it):
    mkrule.txt
    (5.03 KiB) Downloaded 31 times
    (I uploaded it as a txt file because python files are not allowed as attachments, but it's probably better to change it back to a .py file)
  2. Download and make espresso logic minimizer, I downloaded it from https://github.com/classabbyamp/espresso-logic. If you didn't download it to your home directory you'd need to change the run_espresso function in mkrule.
  3. Edit the life_rule function in mkrule to reflect your desired rule.
  4. Run mkrule, once with the make_3state_rule call uncommented and once with the make_stabilise_rule call uncommented.
  5. Copy the third and last part of the outputs to the correct places in evolve_bitwise.c (I suggest first running it with life or highlife and finding the places where the output matches the original code or the version I attached above respectively).
  6. Make bellman again.

Code: Select all

x=0y=0rule=23/36
2bo6b4o$obo7b2o$bobo$bo3$2b2o$2bo4$2o13b3o$o2bo10bo$b4o9bo$4b2o8bo$b2obo$b2obobo$o4b2o11$40bo$33b2o3bobo$32b2o3bo4bo$32bo3bob5o$28bo8bo$24b2obobo4bo4b2o$24bob2o2bo3b5obo$25bob5o7bo$26bo4b4o2bo$24bobob2o4bo2b2o$24b2obobo2bo$27bo4b2o$27b2o

User avatar
roee.s
Posts: 16
Joined: May 25th, 2024, 3:19 pm

Re: HighLife

Post by roee.s » May 31st, 2025, 4:30 pm

WhiteHawk wrote:
November 10th, 2024, 12:32 am
pifricted wrote:
November 9th, 2024, 11:42 pm
Eater 2 variant but work in Highlife:
Doesn't have as much ability to eat gliders on multiple paths due to a 6e birth, but still has use on 2 lanes.
There are also eater-2 variants that can eat gliders in all 4 paths in Highlife. The smallest one has 22 cells:

Code: Select all

x = 20, y = 24, rule = B36/S23
2bo$obo$b2o3$4bo$2bobo$3b2o$9bo$7bobo$8b2o2$12bo$10bobo$11b2o$14b2ob2o
$14b2obo$19bo$13bob5o$13b2o$16b2o$17bo$16bo$16b2o!
and there is also a symmetric one with 30 cells:

Code: Select all

x = 22, y = 23, rule = B36/S23
2bo$obo$b2o3$4bo$2bobo$3b2o$9bo$7bobo$8b2o2$12bo$10bobo$11b2o4b2ob2o$
14b2o2bobo$14b2obo3bo$17bob2o$13bob2o2bo$13b2o4bo$16b3o$13b2obo$13bob
o!

Code: Select all

x=0y=0rule=23/36
2bo6b4o$obo7b2o$bobo$bo3$2b2o$2bo4$2o13b3o$o2bo10bo$b4o9bo$4b2o8bo$b2obo$b2obobo$o4b2o11$40bo$33b2o3bobo$32b2o3bo4bo$32bo3bob5o$28bo8bo$24b2obobo4bo4b2o$24bob2o2bo3b5obo$25bob5o7bo$26bo4b4o2bo$24bobob2o4bo2b2o$24b2obobo2bo$27bo4b2o$27b2o

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ThePlayzr
Posts: 698
Joined: April 19th, 2025, 1:33 am
Location: Australia
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Re: HighLife

Post by ThePlayzr » June 6th, 2025, 11:01 pm

burning question: is there a non-standard spaceship that works in both life and highlife?
Please help me prove b3s23-a5 omniperiodic!
Please visit my ruleset and contribute!
User:ThePlayzr
Finally got LLS! Time to do way too much searching!

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rabbit
Posts: 193
Joined: March 4th, 2024, 6:00 am
Location: Stuck inside a magician's hat. it hurts so bad

Re: HighLife

Post by rabbit » June 6th, 2025, 11:46 pm

ThePlayzr wrote:
June 6th, 2025, 11:01 pm
burning question: is there a non-standard spaceship that works in both life and highlife?
Several are listed under OCA:HighLife#Spaceships, the smallest two being the crab and turtle.
That's the bunny. (she/her)

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FWKnightship
Posts: 1699
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Location: Hey,wait!! Where am I!? Help! Somebody help!I'm lost!!

Re: HighLife

Post by FWKnightship » July 12th, 2025, 1:31 am

8c/16 block puffer that works in both Life and HighLife:

Code: Select all

x = 17, y = 17, rule = B36/S23
10b3o$2b3o4bo2bo$2bo2bo6bo$2bo5bo3bo$2bo3bo4bo$2bo4bo3bo$3bo3b2obobo$
5bo6bo2$7bob2o3bo$8bo4b3o$2b3o8bob2o$bo2bo9b3o$4bo9b3o$o3bo9b2o$4bo$bo
bo!
EDIT: This related 8c/16 boat puffer also works in both Life and HighLife:

Code: Select all

x = 48, y = 29, rule = B36/S23
24bo$16bo6b3o$15b3o5bob2o$14b2obo6b3o$14b3o7b2o$14b3o3bo3b2o$15b2o2b3o
b3o$19b3o3bo$24bo2$26b3o$16bo9bo2bo$15b3o3bo4bo$15bob2o2bo4bo3bo$16b3o
7bo$16b3o8bobo$16b2o$24b2o$24b2o3b3o13b3o$18b3o7bo2bo5b3o4bo2bo$2b3o
12bo2bo10bo4bo2bo7bo$bo2bo5b3o7bo6bo3bo4bo3bo2bo3bo$4bo4bo2bo3bo3bo10b
o2bo3bobo6bo$o3bo4bo3bo2bo3bo10bobo8b2o2bo$4bo2bo3bobo6bo12bo8b5o$4bob
o8b2o2bo9b3o3bo6b2o$6bo8b5o25b2o$2b3o3bo6b2o$18b2o!
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.

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ThePlayzr
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Re: HighLife

Post by ThePlayzr » July 13th, 2025, 11:10 pm

catagolue always recognizes constellations slowly burning through replicators as zz_EXPLOSIVE, here is an example:

Code: Select all

x = 16, y = 16, rule = B36/S23
boobbobbboobbboo$
oobbobboboobobbo$
bobboobbbbbobooo$
ooooobbbboobboob$
booobobboooobbob$
oobobbboobbooobb$
oooobbboobbboobb$
bobbbbbbbobbbboo$
obbbbooboooooobb$
bobbbobbobbbobbb$
obobboobobbobobo$
oobooooobbobobob$
obboboobooooobbb$
ooboobbooooobbob$
obbbooobbbobbooo$
bobobbobboboobob!
It doesn't seem periodic, which might be the reason for being recognized as this.
edit: I watched the bomber-based growing spaceship to see how fast it grows in comparison to a replicator by itself, it grows around 1/3 as fast. The replicator grows 15 cells every 6 generations, so the growing spaceship grows around 5 cells every 6 generations.

Code: Select all

x = 14, y = 10, rule = B36/S23
b3o$o$o$o4$13bo$13bo$13bo!
Please help me prove b3s23-a5 omniperiodic!
Please visit my ruleset and contribute!
User:ThePlayzr
Finally got LLS! Time to do way too much searching!

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roee.s
Posts: 16
Joined: May 25th, 2024, 3:19 pm

Re: HighLife

Post by roee.s » July 27th, 2025, 3:37 pm

FWKnightship wrote:
July 12th, 2025, 1:31 am
8c/16 block puffer that works in both Life and HighLife:

Code: Select all

x = 17, y = 17, rule = B36/S23
10b3o$2b3o4bo2bo$2bo2bo6bo$2bo5bo3bo$2bo3bo4bo$2bo4bo3bo$3bo3b2obobo$
5bo6bo2$7bob2o3bo$8bo4b3o$2b3o8bob2o$bo2bo9b3o$4bo9b3o$o3bo9b2o$4bo$bo
bo!
Interesting! 31P8H4V0, on which this puffer is based, also works in highlife, although it seems like it was missed until now. I added mentions of it in the wiki article.
ThePlayzr wrote:
July 13th, 2025, 11:10 pm
catagolue always recognizes constellations slowly burning through replicators as zz_EXPLOSIVE, here is an example:

Code: Select all

x = 16, y = 16, rule = B36/S23
boobbobbboobbboo$
oobbobboboobobbo$
bobboobbbbbobooo$
ooooobbbboobboob$
booobobboooobbob$
oobobbboobbooobb$
oooobbboobbboobb$
bobbbbbbbobbbboo$
obbbbooboooooobb$
bobbbobbobbbobbb$
obobboobobbobobo$
oobooooobbobobob$
obboboobooooobbb$
ooboobbooooobbob$
obbbooobbbobbooo$
bobobbobboboobob!
It doesn't seem periodic, which might be the reason for being recognized as this.
I'm pretty sure it really becomes explosive at some point. In generation 1627 you can see a row of 3 replicators and both of its ends directly affect the rest of the replicator line, which means that it never becomes an eternal bomber-ended line. You can also see that in generation 9499 there is a bomber in the end of the line but it gets destroyed and the blinker participates in a different reaction at generation 9538, which causes more mess to be made. I bet that similar kinds of replicator lines will eventually extrude from its sides which will make it truly explosive, IIRC this usually happens after a few millions of generations, but lifeviewer has too small of a grid to simulate it for that long and I'll only have access to my desktop PC with golly on Thursday so I'll hopefully elaborate here then.

Edit: (August 5)
After running golly for about 4 days I saw other similar replicator lines going out from the sides of the main one, which according to my calculations were created a bit after generation 19,200,000. Unfortunately, because golly doesn't remember intermediate states if you aren't there to pause it I can't tell you the exact generation on which the replicator is created nor when there is the first >1 odd row of replicators in it nor when a failed bomber appears.
[Edit August 18: I've finally done it! I managed to run the soup and save it on generation 19,200,000, and in position (-219,110, -219,130) there was this section:

Code: Select all

x = 270, y = 270, rule = B36/S23
8bo2$24b2o11bo4b2o$24b2o10bobo3b2o$36b2o2$15bo$15bo$o14bo4b2o$20bobo
13b2o$21bo14b2o2$33b2o26b2o$33b2o14b2o9bobo$48bo2bo9bo$6b3o40bobo$50bo
$39b2o$35b2o2b2o$35b2o$8b2o$8bobo$9bo2$2b2o$2b2o2$32b2o$31bo2bo33b2o$
32b2o33bo2bo$68bobo$28bo40bo$27bobo$12b2o13bobo$12b2o14bo$18b2o$3b2o4b
2o7b2o$2bobo4b2o$3bo$17b2o$17b2o53b3o2$2b2o$2b2o3$49bo11bo$49bo3bo6bob
o$14bo34bo3bo7bo$13bobo30b6obo$13bo2bo32bo$14b2o33bo2$47b3o7$13bo33bo$
12bobo31bobo$12b2o33bo5$29bo41b3o$28bobo$28bo2bo39bo$29b2o40bo$67bob6o
$40bo26bo3bo$40bo26bo3bo$40bo30bo4$143b2o3b2o$143b2o3b2o$128bo$127bobo
$127bobo$128bo$140b2o9b2o$107b2o30bo2bo7bo2bo$106bo2bo30b2o9b2o$107b2o
13bo$121bobo$101b2o18bobo22bo$101b2o4b2o13bo23bo$107b2o37bo$139b3o9b3o
2$97bo$97bo3bo$97bo3bo5b3o10b2o$94b6obo18b2o$97bo$97bo53bo$151bo$89b2o
4b3o53bo$89b2o$140bo$122b2o15bobo$121bo2bo15b2o$86bo34bobo32b2o$85bobo
2b2o4bo25bo33b2o$85bobo2b2o4bo$86bo9bo2$128b2o$127bo2bo$128bobo15b2o$
129bo4b2o10b2o$133bo2bo$134b2o$161bo$161bo$161bo$96b2o$88b2o6b2o7b2o$
87bo2bo13bo2bo$88b2o14bobo58bo12b2o$105bo59bo12b2o$165bo2$81b2o29bo$
80bo2bo27bobo$81b2o28bo2bo$112b2o72b2o$186b2o2$115bo51b2o$114bobo49bo
2bo3b2o$114bobo50bobo3b2o$115bo52bo2$190b3o$85bo6bo11bo50b2o18b2o$84bo
bo5bo10bobo49b2o18b2o29b2o$84bobo5bo11b2o99bo2bo$85bo102bo17bobo$78b2o
107bobo17bo$78b2o106bo2bo$187b2o$89b3o21b2o$113b2o36b3o61b2o$78b2o135b
2o$78b2o71bo14b2o$85bo65bo14b2o$84bobo5bo6b3o45bob6o$84bobo5bo54bo3bo$
85bo6bo54bo3bo$151bo30b2o$139b2o41b2o$106b2o31b2o$106b2o$161bo$161bo3b
o$161bo3bo$117b3o38b6obo$161bo25b2o$161bo5b3o17b2o2$123b3o33b3o5bo54b
2o$134bo14b2o16bo53bo2bo$133bobo13b2o12bob6o50bobo18bo$133bo2bo26bo3bo
54bo18bobo$134b2o27bo3bo73bobo$167bo74bo2$191b2o$134b2o54bo2bo35b2o$
134b2o55b2o36b2o$139b2o$139b2o2$123b2o$123b2o63b2o13b2o40b2o$187bo2bo
12b2o40b2o$188b2o$154b2o81b3o$154b2o49b2o$204bo2bo57b2o$187bo17b2o57bo
2bo$130b2o12bo41bobo76b2o$130b2o11bobo16b2o16bo4bo2bo$142bo2bo16b2o15b
obo4b2o$143b2o34bobo9b2o$138bo34bo6bo11bo$138bo33bobo14bo$138bo33bobo
14b2o$173bo23bo17b2o$197bo16bo2bo$197bo17b2o2$193b3o62bo$257bobo$258b
2o4$179b2o$179b2o3bo$141bo41bobo65bo$140bobo40bobo32b2o31bo$140bo2bo
40bo33b2o31bo$141b2o6$194bo28b2o$147b2o44bobo21b3o3b2o$147b2o44bobo$
194bo20bo38bo$206b2o7bo37bobo$206b2o7bo38b2o2$166b2o$165bo2bo$165bobo
46b2o$166bo47b2o5$173b2o88b2o$173b2o87bo2bo$263b2o2$235b3o2$233bo$233b
o$182bo50bo$182bo$182bo2$168b2o$167bo2bo$168b2o2$179b2o$179b2o5$205b3o
2$218bo$217bobo$218b2o2$198bo$197bobo$198b2o59b2o$259bobo$260bobo$230b
o30bo$229bobo$185bo43bobo$184bobo43bo$184bobo$185bo!
(the replicator line present is not the main one but a smaller bounded line that was created from the interaction between the main one and the pulled mess.) I continued simulating and sure enough another perpendicular replicator emerged at generation 19,201,145, and in generation 19,201,349 I could see a single replicator and a pair in the same line, which means there's no option for an eternal bomber reaction. In generation 19,201,421 there was a line of 9 replicators and in generation 19,206,833 there was a bomber, which failed shortly after. Although the region is influenced by the outside pattern I chose a large enough one to make sure this would not affect the observations I listed here, which means that you can run and see this for yourself.]

Also, I found a kind of oscillator in highlife which is quite interesting IMO but I didn't see people talk about. I call them "mice" because similarly to the ones in Maze with Mice their stators are 2 adjacent cells and in each generation one of them is born because of the 6a transition and the other dies.
The smallest and most common (or rather least rare) one of them is xp2_ca1u8oz0643 but you can also make the long lines in different sides of the stator like in this one:

Code: Select all

x = 8, y = 9, rule = B36/S23
5b2o$5bobo$7bo$3b4o$3bo$b4o$o$obo$b2o!
This stator looks similar to a big S and can similarly perform eater-3 reactions. The cis version can also be stabilized similarly:

Code: Select all

x = 8, y = 6, rule = B36/S23
3b2o$3bo$b6o$o6bo$obo2bobo$b2o2b2o!
and it is also possible to have one or both of the edges be only 3 cells long:

Code: Select all

x = 18, y = 11, rule = B36/S23
12b2o$5b2o6bo$6bo3b3o$3b3o4bo2b3o$o2bo7bobo2bo$5obo5b3o2bo$5b2o8b3o$2b
2o10bo$2bo11b2o$3bo$2b2o!
and that's true even if the two halves are completely disconnected:

Code: Select all

x = 8, y = 11, rule = B36/S23
2obo$ob2o$4b2o$b2o3bo$bob3o$3bo$2b3obo$bo3b2o$2b2o$4b2obo$4bob2o!

I also found a 1270M that starts with 8 cells and has a 4x6 bounding box on gen 6:

Code: Select all

x = 6, y = 6, rule = B36/S23
b2o$o$3bo2$2bobo$4b2o!
Edit: (August 17)
1347M that produces a LWSS from 8 cells:

Code: Select all

x = 8, y = 11, rule = B36/S23
5b3o7$bo$3o2$bo!

Code: Select all

x=0y=0rule=23/36
2bo6b4o$obo7b2o$bobo$bo3$2b2o$2bo4$2o13b3o$o2bo10bo$b4o9bo$4b2o8bo$b2obo$b2obobo$o4b2o11$40bo$33b2o3bobo$32b2o3bo4bo$32bo3bob5o$28bo8bo$24b2obobo4bo4b2o$24bob2o2bo3b5obo$25bob5o7bo$26bo4b4o2bo$24bobob2o4bo2b2o$24b2obobo2bo$27bo4b2o$27b2o

WhiteHawk
Posts: 1198
Joined: July 10th, 2024, 5:34 pm

Re: HighLife

Post by WhiteHawk » October 1st, 2025, 5:03 pm

Was just inspired to create an updated list of goals for this rule, akin to some which I have made for other rules.

  • Find p11 oscillator (smallest period unknown, sparker preferred)
  • Find more higher-clearance sparkers (new periods & odd periods preferred)
  • Find a gun which is not p24n or p59+96n
  • Find a periodic reflector which is not p24n
  • Find an infinitely adjust family which is not p24n or p59+96n
  • Find a stable reflector (90 or 180 degrees)
  • Find a useable forward conduit for a signal (good clearance preferred, but lower clearance still acceptable too as long as connectability is still permitted)
  • Find a stable signal turner
  • Find an oblique ship
  • Find a c/7 ship
  • Complete some caterpillar?

EDIT: Here is a collection of oscillators between 2 and 100. My records indicate a p13 billiard table exists, though I can't find it. I also couldn't confirm the smallest p72.
(2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 20, 24, 28, 30, 32, 35, 36, 38, 40, 42, 45, 48, 52, 56, 59, 72, 76, 84, 96)

Code: Select all

x = 2205, y = 289, rule = B36/S23
bobo11bobo9bo3bo8bobobo9bobo16bobobo8bobo11bobo9bo4bobo11bo4bobo7bo4b
obo17bo3bo3bo$o3bo9bo3bo21bo12bo3bo27bo3bo9bo3bo12bo3bo14bo3bo10bo3bo
$27bo3bo44bo35bo18bo14bo24bo3bo3bo$4bo13bo21bo12bo31bo3bo9bo3bo12bo3b
o18bo14bo$bobo11bobo9bobobo9bobo10bobo18bo10bobo11bobo9bo18bo4bobo7bo
4bobo17bo3bobobo$o17bo25bo8bo3bo27bo3bo13bo12bo3bo14bo18bo$31bo42bo37b
o18bo14bo24bo7bo$o13bo3bo21bo3bo8bo3bo27bo3bo9bo3bo12bo3bo14bo14bo3bo
$obobo10bobo13bo9bobo10bobo16bo12bobo11bobo9bo4bobo11bo3bobobo6bo4bob
o17bo7bo3$53b2o$28bobo11b2o10bo21bo13b2o12bo8b3o15b2o2bobo$31bo8bo4bo
8bobo18b2o13b2o10bobobo8bo17bobobo14b2o$bo25bo2bo9bo4bo9b2o33b2o10bob
o26b2o3bo16bo20b3o$bo24bobobo9bo4bo13b3o11bo2bo12b2o11bo3bo6bobo36bo20b
ob2obo$bo12bo11bo2bo11bo2bo14b3o26b4o9bo3bo8b2o16bo3b2o14b2o18bo6bo$14b
3o10b2o10bobo2bobo26b2o12bo15bobo25bobobo19b2o17bo2bo2bo$17bo21b2o4b2o
12bo13bo12b2o13bobobo25bobo2b2o14b3o2bo4b2o7b2o6b2o$16b2o41bobo26bo14b
o47bo3b2o2b2o2bo7b2o6b2o$61bo88bob2o3b2ob3o8bo2bo2bo$18b2o9bo32b2o85b
o2bob3o15bo6bo$18bo9bobo31b2o22b2o61bobo6b3o12bob2obo$19b3o40b2o22b2o
59b2o2b2obo4bobo13b3o$21bo4bo3b2o29bo3b2o81bobo4bobo3bo$25bo5bo33bobo
78bobobob2o3b4o$26bobo38bo78b2o2bobob3o$28b2o37b2o81bo2bo3b2o$151bobo
2bo2bo$152bo4b2o17$bo3bobobo10bo4bobo11bo4bobo13bobo4bobo9bobo4bo3bo9b
obo4bobo9bobo4bobo13bobo4bobo14bobo3bobobo7bobo4bobo12bobo4bobo7bo3bo
4bobo11bo3bo4bobo11bo3bo2bobobo12bo3bo3bobo$5bo18bo3bo14bo3bo11bo3bo2b
o3bo7bo3bo16bo3bo2bo3bo7bo3bo2bo3bo11bo3bo2bo3bo12bo3bo2bo10bo3bo2bo3b
o10bo3bo2bo3bo14bo3bo18bo3bo17bo23bo3bo$bo18bo18bo46bo3bo132bo3bo18bo
3bo18bo3bo19bo3bo$5bo18bo18bo3bo15bo2bo3bo11bo20bo2bo3bo11bo2bo3bo15b
o6bo16bo2bo14bo2bo18bo2bo3bo14bo3bo22bo17bo23bo3bo$bo4bobo11bo4bobo11b
o4bobo13bobo16bobo4bobobo9bobo4bobo9bobo20bobo4bobo14bobo4bobo8bobo4b
obo12bobo4bobo7bobobo18bobobo4bobo11bobobo3bobo13bobobo3bobo$9bo14bo3b
o14bo3bo11bo6bo3bo7bo20bo6bo3bo11bo2bo3bo15bo2bo20bo6bo10bo2bo3bo14bo
2bo3bo14bo3bo18bo25bo19bo3bo$bo18bo18bo50bo136bo22bo22bo23bo$5bo3bo14b
o3bo14bo3bo11bo6bo3bo7bo20bo6bo3bo7bo3bo2bo3bo11bo3bo2bo16bo3bo2bo3bo
6bo3bo2bo3bo10bo3bo2bo3bo14bo3bo18bo21bo3bo19bo3bo$bo4bobo11bo4bobo11b
o4bobo12bobobo3bobo8bobobo7bo8bobobo3bobo9bobo4bobo13bobo3bobobo13bob
o4bobo8bobo4bobo12bobo4bobo11bo4bobo15bo3bobobo14bo3bobo17bo3bobo5$151b
2o119b2o5b2o$151bo120bo2bobo2bo$104b2o39b2ob2obo4b2o26b2o14b2o8b2o13b
obo2bobo18bob2o19b2ob2o$10bo14b2o76bo2bo36bo2bobobo5bo27bo16bo7bobo13b
obo2bobo20bo16b4o5b4o13bo$9bobo28bo8bo13b3o12bo24bobobo13bo8bo12b2o4b
o8bo11bob2o11b3o10b3o8b2o14b3o2b3o16bo20bo4b3o4bo13b3o$10bo11bo6bo10b
3o4b3o17bo10b3o23bo2bo13b3o4b3o26b2o13bo14bo10bo11b3o13b2o2b2o16b2obo
20b3obob3o18bo$11bo9bo2bo2bo2bo12bo2bo18bo15bo26bo15bo2bo40bo21bo4bo15b
o14b2o2b2o66b2o2b2o$11b3o8b3o2b3o8b4obo2bob4o13b2obo11b2o23bobo11b4ob
o2bob4o17b2o5b2o8b2obo16bo10bo27b2o2b2o40bo7bo$38bo2bobo2bobo2bo7bo8b
o31bo2bo15bo2bobo2bobo2bo8bo7b2o5bobo27bo3b2o2b2o3bo13bo59b7o$42bo4bo
11bo8bo31bo2bo19bo4bo12b3o6b2o5bo28bo3b2o2b2o3bo12bobo54b2o4b3o7b2o$b
2o8b3o9bo4bo12b2o4b2o10bob2o38bob2o17b2o4b2o14bo13b3o10b2o14bo10bo14b
o36b6o13bo16bo$bo2b3o4bo11b2o2b2o12b2o4b2o13bo20bo18b2obo16b2o4b2o13b
obo14bo8bo4bo15bo4bo30b2o2b2o17bo2b2o2bo13b3o10b3o$2b2o7bo12b4o15bo2b
o13bo21bobo18bo2bo17bo2bo15b2o24bo4bo12bo10bo12bo14b2o2b2o18bo4bo16bo
10bo$7bo3bo11b6o13bo4bo14b3o17b3o18bo2bo16bo4bo40bo4bo10b3o10b3o9b3o13b
2o2b2o19bo2bo56bo$7bo3bobo10b4o13bo2b2o2bo34bo38bo2b2o2bo13b2o25bo2bo
10bo6bo9bo7b2o14b3o2b3o16b2o4b2o17b2o4b2o28b3o$2b2o9bo9b2o2b2o13b6o75b
6o14bo8bo4b2o9bobo2bobo7bobo4bo2bo6bobo6bobo13bobo2bobo16b2o4b2o14b2o
b2o4b2ob2o24b2obo$bo2b3o6bo9bo4bo116bo5bobobo2bo9b2o4b2o7bobo4bo2bo6b
obo7b2o13bobo2bobo17bo4bo15b2ob2o4b2ob2o23b2o$b2o10bo130b2o4bob2ob2o27b
o7bo8bo44bo2bobo2bobo2bo14b2o4b2o27b2o$11b3o136bo34b3o10b3o45b4obo2bo
b4o$22b3o2b3o119b2o36bo10bo52bo2bo17bo10bo$21bo2bo2bo2bo11bobo81b3o61b
o4bo52b3o4b3o12b3o10b3o$11b3o8bo6bo13bo80b7o56bo10bo49bo8bo11bo16bo$13b
o31b2o33b2o41bo7bo54bo3b2o2b2o3bo69b2o14b2o28b2o$14bo10b2o15bob3o34bo
104bo3b2o2b2o3bo27bo2bo2bo81bobo$13bobo25b3obo32b3o42b3obob3o55bo10bo
27bo2b3o2bo82bo$14bo9bo16b2o35bo42bo4b3o4bo56bo4bo30bo7bo82b2o$23bo2b
o17bo76b4o5b4o53bo10bo28b2obob2o$23bo2bo16bobo79b2ob2o55b3o10b3o23bo4b
3o4bo$25bo97bo2bobo2bo52bo16bo22b4o5b4o$123b2o5b2o52b2o14b2o26b2ob2o$
24b2o200bo2bobo2bo$226b2o5b2o$21bo6bo$20bo2bo2bo2bo$21b3o2b3o3$22bo4b
o$22b2o2b2o$23b4o$22b6o$23b4o$22b2o2b2o$22bo4bo3$21b3o2b3o$20bo2bo2bo
2bo$21bo6bo2$24b2o8$236bobobo4bobo$8bobobo4bobo25bobobo3bobo10bobobo3b
obo20bobo3bo3bo16bobo4bobo110bo3bo$8bo7bo3bo24bo6bo3bo16bo3bo18bo3bo22b
o3bo2bo3bo104bo$69bo33bo3bo140bo$8bo11bo24bo6bo20bo22bo3bo22bo3bo2bo107b
o6bobo$9bobo5bobo26bobo4bobo12bo5bobo20bobo3bobobo16bobo4bobo110bo$12b
o3bo32bo2bo3bo16bo3bo18bo3bo26bo2bo3bo102bo$67bo39bo136bo$8bo3bo3bo28b
o3bo2bo3bo16bo3bo18bo3bo22bo3bo2bo3bo101bo7bobobo$9bobo4bobobo25bobo4b
obo10bo7bobo20bobo7bo16bobo4bobo3$262bo$262bo$260b3obo$240bobo17b2o2b
o$102b3o134bo3bo16bob2obo$123b2o118bo16bob2obo$49bob2o47bobobobo16b2o
10bo125bo2b2o$51bo48bo2bo2bo27b2o106bo18bob3o$47bo52b2obob2o26bobo105b
o21bo$46b2obo19b3o30bobo27b3o106bo21bo$67bob3o31bo$66bobobo31b3o33b3o
100bo22b2o$18b2o46bo2bo11bo55bobo114b3o16b3o$17bo2bo46b2o11bobo54b2o114b
2obo16bob2o$16bobobo56bo3bo3bo51bo116b3o16b3o$16bo2bo27bobo2bobo19b2o
b2o5b2ob2o159b2o14b2o14b2o$15bo31bobo2bobo19bob2o7b2obo158bobo30bobo$
16bobo28b3o2b3o20b2o9b2o159bo34bo$20bo27b2o2b2o192b2o34b2o$19b3o26b2o
2b2o$13b2o3b5o25b2o2b2o$13b2o87b3o$6b2o95bo52b2o$5bo2bo4b2o10b3o74bob
o51b2o$5bobo5b2o10b3obo18b2o2b2o46b2obob2o$6bob2o11b2o3bobobo17b2o2b2o
46bo2bo2bo$7b3o11b2o4bo2bo17b2o2b2o46bobobobo$8b2o18b2o17b3o2b3o$13b2o
b2o3b2o24bobo2bobo47b3o$13b2ob2o3b2o24bobo2bobo2$103bo$19bo80b2obob2o
$17b2obo79bob3obo$16bo81b2o7b2o$15bobo2bo77bo9bo$15bo2bo80bo3bo3bo$16b
2o79b3o2bobo2b3o$99bo3bo3bo$98bo9bo$98b2o7b2o$100bob3obo$100b2obob2o$
103bo11$5bobobo3bobo$5bo6bo3bo2$5bo6bo3bo$6bobo4bobo$9bo6bo2$5bo3bo2b
o3bo$6bobo4bobo11$514bo264bo987b2o$56bo191bo72b2o190b2o263bo2bo266bo260b
2o190b3o71bo190bo265bo2b2o$55b2o116b2o72b3o70bo191b2ob2o68b2o192b4o69b
o190b3o3bo112bo72b3o70bo2bo115bo72bo73bo191b2ob2o68bobo190bo4bo67bo$54b
2obo114bo73b3obo68bob2o115bo72bo4bo68b3o116bo74b5o66b2o44bo72b3o70bo118b
2o71bo3bo69b2o116bo72bo3bobo67b2obo188b2o2b2o70bo115b2o73bo4bo67bo43b
3o$53bo118b2obo69b2o2b3o67b4o115bo3bo67bo6b2o65b2o3bo40bo72b2o70bo2bo
2b2o38b2o72b3o70bo2bo69bo3bo114b2ob2o68bo4bo68bobo117b3o68bo6bo67bo3b
o113b3o69b3o6bo37bo27b2o43b3o72b2o69b5o41bo72bo$53b2o4bo42bo68b2o2b3o
66b2o3b2o70b2o40b2o73bo3bo66b2o5b2o37b3o32bo38b3o70bobo3bo65bob2o3b2o
bo35bo73b3obo68bo3bo68bo5bobo37bo2b2o68bo72bo2bo2bo68bobo4bo37bo74b4o
66bo7bo38bo28bo4bo38b3o70bo5b2o64bobo5bobo36b2o71bo3bo68bob2o69bob2o2b
o39bo2bo69bo3bobo$54b2o4b2o35b3o3bo65b3o44bo26b3o2b2o39b3o28bob4obo36b
2o69b6obo38bo26b2o6bo37bo73b2ob2o68b3o4bo66bo4bo2bo36b2ob2o68b2o2b3o67b
o2bo71b2o4bo37bo4bo66bo5bobo65bo4bo40bo31bo4bo35b2o70bo2bo3bo38b2o26b
o6bo38b3o33bo36bo2bo70bo4bo66bo6b3o36b2ob2o68bo4bo68b3o70b3o3b4o37b4o
67bo$23b3o27bob2o2b2o35bo71bobo8bo35b2o27bob3o39bo3bo30b3obo33bob2o73b
o41bo28b2o4bo37bo3bobo31bo35b2ob2o63bo78bo4bo39b2o2b2o67b2o3b2obo61bo
4b3o41b2o28b2obo3bo37bo4bo65b2o44b3o26bo3bo40b3o27bo3b3obo34bobo69bob
2o42bo28bobo3bo38b3obo28bo5bo33bo3bo70bo43bo30bo2b2o37bo4bo32b2o33bo2b
o2bo62b2o5bo43bo26b2o4b2o40b5o65bo7bobo36bo$22bo2bo27bo2b2obo36bo71bo
45b2ob2o22bo3b3o39bo4bo26bo2bobobo34b3o65bo8bo42b3o22b3ob2ob2o37bo6bo
20bo10b2o33b2ob2o3bo60b2o48b3o23b2ob2o3bo37b3o6bo31bo5bo26b3o2b2ob3o35b
3o20bo2bo48b2o22b2o5b2o2bo35b5o41bo26b2o6bobobo33bo22bo7b3o40b2ob2o21b
o4bo5b2o34b3o72b2o8bo33b2obo23b2o5bo38b2o2b3o31b2o34bo2bo63b3o49bo3bo
21b3o4b2o37bo6b2o19b2o44bo4bob3o36bo24bo47b2o24b5o2b3o36bo2bo2b2o38b2o
26bo6bo38b3o$21bo3bo21b3o4b2ob2o37bo2bo2bo37bo2b2o18bo6b2o3bo3bobo31b
o27b2o3bo39bo2bo2bo21b2o4bo3b2o25b2o9bo5bo20bo16bo21b3o50b4o21bo2bob3o
37bo7bo20b2o8b3o5bo28b3o3b3o35b3o19b2ob2o46bo5b2o19bo4bobobo35bobo5bo
bo18b2o10bo5b2o27bob3ob3obo33bo3bo18b4o46bob2o28bobo2bo39bobo39bo2bo26b
o4bo37bo3bobo16bo3b3o44b2ob2o22bo5b2ob2o26bo58bo17b3o5b2o41b2o2b3o20b
2o3b3o38b2o3b2o20b3o7b3o26bo8b3o3b3o35b2o24bo6bo41bo3bo20b2ob2o4bo36b
2o5b2o30bobo4b3o26bo3bobo3bo34b3o19b2ob2o46bobo3bo19b2ob2obobobo35bob
2o3b2obo19bo10b2o3bo28bobo3bo3bobo32b3obo$21bo2bo59b3o15bo20bo16bo4bo
16b3o6bo40bo5bobo20bobo42bo4bo21b2o17bo20bo13b3o17bo2bo14b2o20bob3o4b
3o38bo2bo3bo21bo3bobo38bo6bo19bob2o8bo6b3o19bo8bo3b2ob2o33bo2bo19bo4b
o4b2o39bo4bo21bo2bob2obo36bo6b3o17b4o10bo4b2ob2o18bo7b3ob2o2b3o31bo4b
o17b5o46b3o22bobo8bo27bo13b5o19bobo15b4o17b3o5bobobo5bobo29bo30bo42b2o
b2o21b2obo35b2o14b3o18b3o14b3o3bo15bo3bo5b2o38b3o27b2obo40b3o2b2o23bo
15b3o19bo12bo2bo36b2o18bobo3bo4bo39b6obo21b2ob2ob2o36b2o6bo19b2o10bo5b
o30b3obo4bo33b2ob2o18b2o2b2o44b3o4bo18bob2o2b5o38b2o2bo2bo17bo3bo14b2o
b2o18b2o9bo38b2o2b3o$8bo12b3o21bobobo15b2o20bo14bo19b2obo14bo4bo15b2o
b2o5bo11bo27b2o29b3o13b2o26bo3bo20b3o17b3o16bob2o12b2obo34bobo19b3o2b
2o43bob2o27bo2bo13bo26bobo3bo20b3o15b3obo14bo3bo11b2ob2o33bo3bo17b2o6b
o44bo8bo14b3obo34bo10b2o2b2o19bo2bo14bo4bo18b2o7bob2o3b2obo29bo2bo2bo
18b2o2bo2bo15bo12b2o13bo26bo16bo17b3o8bo4bo19bo2b2o16b5o16bo2bo45bo7b
obo21bo15bo27b3o41b3o15b2ob2o12bobo18b3o14bo22bo4bo43bobo8bo20b3o13b2o
26bob3o21b3o15bo3bo15b3o12bo3bo33bob2o19bo6bo3bo42bo22bo3b2obo12bo28b
o4bo19b2ob2o13bo3bobo16b3o9bo2bo2bo32b2ob2o17bo6b3o28bo38b3ob2ob3o28b
3o8b5o20bo2b2o14b2o2b2o17b2o7bobo7bobo28b2o3b2obo$6bo2bo40bo15b2o14bo
bo3bo6bo3b3o18b2o2bo12b5o20b2ob2o43b2o6bobobo34bo2bo10bo15b3o40b2ob2o
13b3o2b2o10b2o19bo3bo12b3o21b2o3b2o44b2o6b2o14b3o3b3o11b2o17b2o13bo21b
o16b2o2b3o13bo3bo10b2ob2o3bo30bo2bo19b2o5b2o15bo11b3o22bo13bo3bobo2bo
11b2o16b3o9b2ob2o6b2o12b3o14bo6b2o12bo3bobo7b3o2b2ob3o28bo4bob3o13bob
2o3b2obo13bobo13bo34bobo3bo14b2o16bob3o7bo4bo20bo2bo12bo2bo2b2o17bo3b
o5bobo5bobobo26bo6bo18bo2bo2bo14b2o11b2o2bo12bo21bobo3bo13bo2bo20bo11b
2o18bobobo13bo22bo2bo2bo16bo25bo10bo15bo5bo13bo3bo13bo11b3o22bo16bo4b
o14b4o12bo2bo34b3o20bo7bo28bo16bo5b3o13b3o3b3o11bo17b3o9b2ob2o7bo13bo
15bo6bo12b2o5bo8bo4bob3o28b2ob2o3bo14bobo5bobo13b3o11b2o21b2o13bob3ob
2obo10b3o15bo3bo8b4o7bo13b3o13b3o6bo16b2obo13bo30b3o2b2ob3o$5b4o34bob
o5bobo9bob2o22bo6bo13bo10b3o3bo12bobo20b2ob2o5bobo3bo3bobo26bo4bo4bo13b
3o18bob3o8bo3b3o42bo9b2ob2o20b3o9b2o3b2o13bo3bo37b2o2b3o14b2o11b3o13b
2o7b2o13bo2bo17b2o15b2o11b3o7b3o18b2o8b2o3b2o14bob6o8b3o3b3o14b2o13b3o
3b3o15bo6b2o13b3o13bo14bo5bo14bo4bob3o10b2o16b2ob2o12bo5bo30b2o5b2o13b
o4b3o7bob3ob3obo27bo3bobo3bo13bo2bo2b2o14b2o11b2ob2o41bo2bo9bobo15b3o
2b2o7b2o2bo5bo2b2o10b3o4bo7bob2o3b2obo16bo2bo12bo31bobo3bo3bobo13bo19b
2obo9bo4bo42bo10bo3bo13bobo5bo10bo5bo13bo2bo14bo2bo2bo17bo4bo16bo12bo
14b2o3bo3b2o13b3o17b2o17b2o11bo9bo19b2o8bo2bo2bo14bo3bo2bo8b3o3b3o12b
obobo13bo5bo16bo6bo14b3o10b3o36b2ob2o3bo11bo2bo15bo2bo10b2o7b2o18bo2b
o6bo7bo14bo4bo8bo3bobo3bo14bo13b3o3b3o14b3o6bo13bobo9b2ob2o34b3o2b2ob
3o9bo18bo4bo8bo2bo5bo2bo12bo5bo7bobo5bobo17b3o6bobo3bo3bobo26bob3ob3o
bo$4b5o44bo9b3o14bobo7bo14b3o3bo10bo3bo14b5o18b3o18bo10b3o13bobobo6b2o
12bobo17b2ob2o15bo19b3o18b2o8b2ob2o13bo8bobo14b2o13b3ob2obo14b3o17b3o
bo16bobo8bo3bo13b2o6b2o13bo3bo13bobo18b2obo17bo20b4o6b3o2b2o19bo12bo3b
2ob2o11bo3bo17bo2bo16bo4bo17bo8bobo3bo12bo21bo2bo2bo12b3obo15b2ob2o9b
2o6b2ob2o16b3o6b2o6bo30b3ob2o2b3o11bo2bo12b3obo4bo17b5o14b2o10b2o2b2o
31bobo7bobo8b3o15bob2o3b2o16bo4bo14b2o10b2o2bo2bo18b3o7bobobo5bobo10b
o18bo6bo13bo20bob2o8bo4bo22bo9bo10b2o8bo2bo22b2o14b2o14b3o2bobo15bo18b
o3bo6bo9b2o10b3o14bo10bo11bob2o15bobo4bo12bobo19b3o17bobo8bo4bo20b2ob
o12bo2bo13b2o2bo17b3o16bo3bobo15bo10bob3o12b3o5bo15b2ob2o13bobobo15bo
3bo9bo7b2ob2o16bo2bo6bo6bo11bo8bo9b3obo4bo12bo2bo13bo3b2ob2o15b2o2b2o
15bob2o8bo4bo12b2o18bob2o3b2obo10bo18bo2bo2bo9bo7b4o16bobo6bo6b3o19bo
12bo34b3ob2o2b3o$5b2o2bo2bo18b3o7bobobo5bobo10bo18bo6bo13bo20bob2o8bo
4bo22bo9bo10b2o8bo2bo22b2o14b2o14b3o2bobo15bo18bo3bo6bo9b2o10b3o14bo10b
o11bob2o15bobo4bo12bobo19b3o17bobo8bo4bo20b2obo12bo2bo13b2o2bo17b3o16b
o3bobo15bo10bob3o12b3o5bo15b2ob2o13bobobo15bo3bo9bo7b2ob2o16bo2bo6bo6b
o11bo8bo9b3obo4bo12bo2bo13bo3b2ob2o15b2o2b2o15bob2o8bo4bo12b2o18bob2o
3b2obo10bo18bo2bo2bo9bo7b4o16bobo6bo6b3o19bo12bo34b3ob2o2b3o15bo4bo13b
ob2o8b5o44bo9b3o14bobo7bo14b3o3bo10bo3bo14b5o18b3o18bo10b3o13bobobo6b
2o12bobo17b2ob2o15bo19b3o18b2o8b2ob2o13bo8bobo14b2o13b3ob2obo14b3o17b
3obo16bobo8bo3bo13b2o6b2o13bo3bo13bobo18b2obo17bo20b4o6b3o2b2o19bo12b
o3b2ob2o11bo3bo17bo2bo16bo4bo17bo8bobo3bo12bo21bo2bo2bo12b3obo15b2ob2o
9b2o6b2ob2o16b3o6b2o6bo30b3ob2o2b3o11bo2bo12b3obo4bo17b5o14b2o10b2o2b
2o31bobo7bobo8b3o15bob2o3b2o$3bob2o3b2obo16bo2bo12bo31bobo3bo3bobo13b
o19b2obo9bo4bo42bo10bo3bo13bobo5bo10bo5bo13bo2bo14bo2bo2bo17bo4bo16bo
12bo14b2o3bo3b2o13b3o17b2o17b2o11bo9bo19b2o8bo2bo2bo14bo3bo2bo8b3o3b3o
12bobobo13bo5bo16bo6bo14b3o10b3o36b2ob2o3bo11bo2bo15bo2bo10b2o7b2o18b
o2bo6bo7bo14bo4bo8bo3bobo3bo14bo13b3o3b3o14b3o6bo13bobo9b2ob2o34b3o2b
2ob3o9bo18bo4bo8bo2bo5bo2bo12bo5bo7bobo5bobo17b3o6bobo3bo3bobo26bob3o
b3obo13b5o17bo12b4o34bobo5bobo9bob2o22bo6bo13bo10b3o3bo12bobo20b2ob2o
5bobo3bo3bobo26bo4bo4bo13b3o18bob3o8bo3b3o42bo9b2ob2o20b3o9b2o3b2o13b
o3bo37b2o2b3o14b2o11b3o13b2o7b2o13bo2bo17b2o15b2o11b3o7b3o18b2o8b2o3b
2o14bob6o8b3o3b3o14b2o13b3o3b3o15bo6b2o13b3o13bo14bo5bo14bo4bob3o10b2o
16b2ob2o12bo5bo30b2o5b2o13bo4b3o7bob3ob3obo27bo3bobo3bo13bo2bo2b2o14b
2o11b2ob2o41bo2bo9bobo15b3o2b2o$4bo2bo2b2o17bo3bo5bobo5bobobo26bo6bo18b
o2bo2bo14b2o11b2o2bo12bo21bobo3bo13bo2bo20bo11b2o18bobobo13bo22bo2bo2b
o16bo25bo10bo15bo5bo13bo3bo13bo11b3o22bo16bo4bo14b4o12bo2bo34b3o20bo7b
o28bo16bo5b3o13b3o3b3o11bo17b3o9b2ob2o7bo13bo15bo6bo12b2o5bo8bo4bob3o
28b2ob2o3bo14bobo5bobo13b3o11b2o21b2o13bob3ob2obo10b3o15bo3bo8b4o7bo13b
3o13b3o6bo16b2obo13bo30b3o2b2ob3o17bobo16b2o12bo2bo40bo15b2o14bobo3bo
6bo3b3o18b2o2bo12b5o20b2ob2o43b2o6bobobo34bo2bo10bo15b3o40b2ob2o13b3o
2b2o10b2o19bo3bo12b3o21b2o3b2o44b2o6b2o14b3o3b3o11b2o17b2o13bo21bo16b
2o2b3o13bo3bo10b2ob2o3bo30bo2bo19b2o5b2o15bo11b3o22bo13bo3bobo2bo11b2o
16b3o9b2ob2o6b2o12b3o14bo6b2o12bo3bobo7b3o2b2ob3o28bo4bob3o13bob2o3b2o
bo13bobo13bo34bobo3bo14b2o16bob3o$8b5o16bo2bo45bo7bobo21bo15bo27b3o41b
3o15b2ob2o12bobo18b3o14bo22bo4bo43bobo8bo20b3o13b2o26bob3o21b3o15bo3b
o15b3o12bo3bo33bob2o19bo6bo3bo42bo22bo3b2obo12bo28bo4bo19b2ob2o13bo3b
obo16b3o9bo2bo2bo32b2ob2o17bo6b3o28bo38b3ob2ob3o28b3o8b5o20bo2b2o14b2o
2b2o17b2o7bobo7bobo28b2o3b2obo19b5o15bo13bo12b3o21bobobo15b2o20bo14bo
19b2obo14bo4bo15b2ob2o5bo11bo27b2o29b3o13b2o26bo3bo20b3o17b3o16bob2o12b
2obo34bobo19b3o2b2o43bob2o27bo2bo13bo26bobo3bo20b3o15b3obo14bo3bo11b2o
b2o33bo3bo17b2o6bo44bo8bo14b3obo34bo10b2o2b2o19bo2bo14bo4bo18b2o7bob2o
3b2obo29bo2bo2bo18b2o2bo2bo15bo12b2o13bo26bo16bo17b3o$8b4o17b3o5bobob
o5bobo29bo30bo42b2ob2o21b2obo35b2o14b3o18b3o14b3o3bo15bo3bo5b2o38b3o27b
2obo40b3o2b2o23bo15b3o19bo12bo2bo36b2o18bobo3bo4bo39b6obo21b2ob2ob2o36b
2o6bo19b2o10bo5bo30b3obo4bo33b2ob2o18b2o2b2o44b3o4bo18bob2o2b5o38b2o2b
o2bo17bo3bo14b2ob2o18b2o9bo38b2o2b3o16bo4bo45bo2bo59b3o15bo20bo16bo4b
o16b3o6bo40bo5bobo20bobo42bo4bo21b2o17bo20bo13b3o17bo2bo14b2o20bob3o4b
3o38bo2bo3bo21bo3bobo38bo6bo19bob2o8bo6b3o19bo8bo3b2ob2o33bo2bo19bo4b
o4b2o39bo4bo21bo2bob2obo36bo6b3o17b4o10bo4b2ob2o18bo7b3ob2o2b3o31bo4b
o17b5o46b3o22bobo8bo27bo$7bo2bo26bo4bo37bo3bobo16bo3b3o44b2ob2o22bo5b
2ob2o26bo58bo17b3o5b2o41b2o2b3o20b2o3b3o38b2o3b2o20b3o7b3o26bo8b3o3b3o
35b2o24bo6bo41bo3bo20b2ob2o4bo36b2o5b2o30bobo4b3o26bo3bobo3bo34b3o19b
2ob2o46bobo3bo19b2ob2obobobo35bob2o3b2obo19bo10b2o3bo28bobo3bo3bobo32b
3obo17bo4bo45bo3bo21b3o4b2ob2o37bo2bo2bo37bo2b2o18bo6b2o3bo3bobo31bo27b
2o3bo39bo2bo2bo21b2o4bo3b2o25b2o9bo5bo20bo16bo21b3o50b4o21bo2bob3o37b
o7bo20b2o8b3o5bo28b3o3b3o35b3o19b2ob2o46bo5b2o19bo4bobobo35bobo5bobo18b
2o10bo5b2o27bob3ob3obo33bo3bo18b4o46bob2o28bobo2bo$8bo26b2o6bobobo33b
o22bo7b3o40b2ob2o21bo4bo5b2o34b3o72b2o8bo33b2obo23b2o5bo38b2o2b3o31b2o
34bo2bo63b3o49bo3bo21b3o4b2o37bo6b2o19b2o44bo4bob3o36bo24bo47b2o24b5o
2b3o36bo2bo2b2o38b2o26bo6bo38b3o19b2o2bo4bo41bo2bo27bo2b2obo36bo71bo45b
2ob2o22bo3b3o39bo4bo26bo2bobobo34b3o65bo8bo42b3o22b3ob2ob2o37bo6bo20b
o10b2o33b2ob2o3bo60b2o48b3o23b2ob2o3bo37b3o6bo31bo5bo26b3o2b2ob3o35b3o
20bo2bo48b2o22b2o5b2o2bo$36b2o44b3o26bo3bo40b3o27bo3b3obo34bobo69bob2o
42bo28bobo3bo38b3obo28bo5bo33bo3bo70bo43bo30bo2b2o37bo4bo32b2o33bo2bo
2bo62b2o5bo43bo26b2o4b2o40b5o65bo7bobo36bo28b3o41b3o27bob2o2b2o35bo71b
obo8bo35b2o27bob3o39bo3bo30b3obo33bob2o73bo41bo28b2o4bo37bo3bobo31bo35b
2ob2o63bo78bo4bo39b2o2b2o67b2o3b2obo61bo4b3o41b2o28b2obo3bo$37bo5bobo
65bo4bo40bo31bo4bo35b2o70bo2bo3bo38b2o26bo6bo38b3o33bo36bo2bo70bo4bo66b
o6b3o36b2ob2o68bo4bo68b3o70b3o3b4o37b4o67bo73b2ob2o71b2o4b2o35b3o3bo65b
3o44bo26b3o2b2o39b3o28bob4obo36b2o69b6obo38bo26b2o6bo37bo73b2ob2o68b3o
4bo66bo4bo2bo36b2ob2o68b2o2b3o67bo2bo71b2o4bo$38bo72bo2bo2bo68bobo4bo
37bo74b4o66bo7bo38bo28bo4bo38b3o70bo5b2o64bobo5bobo36b2o71bo3bo68bob2o
69bob2o2bo39bo2bo69bo3bobo67b2ob2o69b2o4bo42bo68b2o2b3o66b2o3b2o70b2o
40b2o73bo3bo66b2o5b2o37b3o32bo38b3o70bobo3bo65bob2o3b2obo35bo73b3obo68b
o3bo68bo5bobo27b2o2bo$39b2ob2o68bo4bo68bobo117b3o68bo6bo67bo3bo113b3o
69b3o6bo37bo27b2o43b3o72b2o69b5o41bo72bo73b2ob2o68bo118b2obo69b2o2b3o
67b4o115bo3bo67bo6b2o65b2o3bo40bo72b2o70bo2bo2b2o38b2o72b3o70bo2bo69b
o3bo29bo4bo$40b2o71bo3bo69b2o116bo72bo3bobo67b2obo188b2o2b2o70bo115b2o
73bo4bo67bo43b3o71b3o70b2obo114bo73b3obo68bob2o115bo72bo4bo68b3o116bo
74b5o66b2o44bo72b3o70bo32bo4bo$41bo72b3o70bo2bo115bo72bo73bo191b2ob2o
68bobo190bo4bo67bo118bo72b2o116b2o72b3o70bo191b2ob2o68b2o192b4o69bo190b
3o3bo29b5o$188b2o190b3o71bo190bo265bo2b2o261bo191bo72b2o190b2o263bo2b
o266bo29bobo$8bobo635b2o987bo264bo295b5o$9b2o2bo2185bo4bo$9bo2bo2186b
o4bo$5bo4b3o2176b2o2bo5bo2b2o$6b2o2180bo4bo$5b2obo2179bo4bo$8bo2183b5o
$7b2o2182bobo$6bo2181b5o$2191bo4bo$2191bo4bo$20bo2165bo4bo2b2o$19b3o2163b
3o$18b2ob2o2161b2ob2o$17b2ob2o2161b2ob2o$16b2ob2o2161b2ob2o$17b3o2163b
3o$9b2o2bo4bo2165bo$8bo4bo$8bo4bo$12b5o2181bo$11bobo2182b2o$8b5o2183b
o$11bo4bo2179bob2o$11bo4bo2180b2o$b2o2bo5bo2b2o2176b3o4bo$o4bo2186bo2b
o$o4bo2185bo2b2o$4b5o295bo264bo987b2o635bobo$3bobo29bo266bo2bo263b2o190b
2o72bo191bo261b2o2bo265bo190bo71b3o190b2o$5o29bo3b3o190bo69b4o192b2o68b
2ob2o191bo70b3o72b2o116b2o72bo118bo67bo4bo190bobo68b2ob2o191bo73bo72b
o115bo2bo70b3o72bo$3bo4bo32bo70b3o72bo44b2o66b5o74bo116b3o68bo4bo72bo
115b2obo68bob3o73bo114bob2o70b3o71b3o43bo67bo4bo73b2o115bo70b2o2b2o188b
ob2o67bobo3bo72bo116b2o69bo3bo71b2o$3bo4bo29bo3bo69bo2bo70b3o72b2o38b
2o2bo2bo70b2o72bo40bo3b2o65b2o6bo67bo3bo115b4o67b3o2b2o69bob2o118bo68b
2ob2o73bo72bo41b5o69b2o72b3o43b2o27bo37bo6b3o69b3o113bo3bo67bo6bo68b3o
117bobo68bo4bo68b2ob2o$3bo2b2o27bobo5bo68bo3bo68bob3o73bo35bob2o3b2ob
o65bo3bobo70b3o38bo32b3o37b2o5b2o66bo3bo73b2o40b2o70b2o3b2o66b3o2b2o68b
o42bo4b2o69b2ob2o67bobo3bo69bo2bo39bo2b2obo69b2obo68bo3bo71b2o36bobo5b
obo64b2o5bo70b3o38bo4bo28bo38bo7bo66b4o74bo37bo4bobo68bo2bo2bo72bo$35b
o4b2o71bo2bo67b3o2b2o68b2ob2o36bo2bo4bo66bo4b3o68b2ob2o73bo37bo6b2o26b
o38bob6o69b2o36bob4obo28b3o39b2o2b3o26bo44b3o65bo3b3o35b2o4b2o71b2ob2o
73bo67b4o37b4o3b3o70b3o68bo4bo68b2ob2o36b3o6bo66bo4bo70bo2bo36bo33b3o
38bo6bo26b2o38bo3bo2bo70b2o35bo4bo31bo40bo4bo65bobo5bo$35bo3bob2o28b2o
41b3o4bo61bob2o3b2o67b2o2b2o39bo4bo78bo63b2ob2o35bo31bobo3bo37bo4b2o28b
o41bo73b2obo33bob3o30bo3bo39b3obo27b2o35bo8bobo71bo35b2o2b2obo27b3o41b
3o28bo36bobo7bo65b5o40b2o4b2o26bo43bo5b2o62bo2bo2bo33b2o32bo4bo37b2o2b
o30bo43bo70bo3bo33bo5bo28bob3o38bo3bobo28bo42b2obo69bobo34bob3o3bo27b
3o40bo3bo26b3o44b2o$36bo2b2o5b2o22b2o48bo2bo20b3o35b3ob2o2b3o26bo5bo31b
o6b3o37bo3b2ob2o23b3o48b2o60bo3b2ob2o33b2o10bo20bo6bo37b2ob2ob3o22b3o
42bo8bo65b3o34bobobo2bo26bo4bo39b3o3bo22b2ob2o45bo71bo36bob2o2bo27bo2b
o41bo4bo2b2o19b3o38bo6bo26b2o38b2o2bo2bo36b3o2b5o24b2o47bo24bo36b3obo
4bo44b2o19b2o6bo37b2o4b3o21bo3bo49b3o63bo2bo34b2o31b3o2b2o38bo5b2o23b
ob2o33bo8b2o72b3o34b2o5bo4bo21b2ob2o40b3o7bo22bo33bobobo6b2o26bo$37bo
2bobo28b2obo46b4o18bo3bo33bob3ob3obo27b2o5bo10b2o18bobo5bobo35bobobo4b
o19b2o5bo46b2ob2o19b3o35b3o3b3o28bo5b3o8b2o20bo7bo37b3obo2bo21b4o50b3o
21bo16bo20bo5bo9b2o25b2o3bo4b2o21bo2bo2bo39bo3b2o27bo31bobo3bo3b2o6bo
18b2o2bo37bo2bo2bo37b2ob2o4b3o21bo3bo45bo4bo17bob3o32bobo3bo3bobo28bo
3b2o10bo19bob2o3b2obo35bobobob2ob2o19bo3bobo46b2ob2o19b3o34bo3bobo3bo
26b3o4bobo30b2o5b2o36bo4b2ob2o20bo3bo41bo6bo24b2o35b3o3b3o8bo26b3o7b3o
20b2o3b2o38b3o3b2o20b3o2b2o41b2o5b3o17bo58bo26b2ob2o5bo22b2ob2o44b3o3b
o16bobo3bo37bo4bo26bo2bo$10bo27bo8bobo22b3o46b5o17bo4bo31b3o2b2ob3o7b
o18b2ob2o4bo10b4o17b3o6bo36bob2obo2bo21bo4bo39b2o4bo4bo19bo2bo33b2ob2o
3bo8bo19b3o6bo8b2obo19bo6bo38bobo3bo21bo3bo2bo38b3o4b3obo20b2o14bo2bo
17b3o13bo20bo17b2o21bo4bo42bobo20bobo5bo40bo6b3o16bo4bo16bo20bo15b3o59b
o2bo45bo4bo16b3o2b2o38bo9b2o18b2ob2o14bo3bo17bo2bo2b2o38b5o2b2obo18bo
4b3o44b2o2b2o18b2ob2o33bo4bob3o30bo5bo10b2o19bo6b2o36b2ob2ob2o21bob6o
39bo4bo3bobo18b2o36bo2bo12bo19b3o15bo23b2o2b3o40bob2o27b3o38b2o5bo3bo
15bo3b3o14b3o18b3o14b2o35bob2o21b2ob2o42bo30bo29bobo5bobobo5b3o17b4o$
9b3o17bo16bo26bo13b2o12bo15bo2bo2b2o18bo2bo2bo29bob2o3b2obo7b2o18bo4b
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b3o15b3o20bo3bobo26bo13bo2bo27b2obo43b2o2b3o19bobo34bob2o12b2obo16b3o
17b3o20bo3bo26b2o13b3o29b2o27bo11bo5b2ob2o15bo4bo14bob2o19bo14bo20b2o
15bobobo21b3o12bo13bo15b5o19bob2o3b2o28bobo7bobo7b2o17b2o2b2o14b2o2bo
20b5o8b3o28b3ob2ob3o38bo28b3o6bo17b2ob2o32bo2bo2bo9b3o16bobo3bo13b2ob
2o19bo4bo28bo12bob2o3bo22bo42bo3bo6bo19b2obo33bo3bo12b3o15bo3bo15b3o21b
3obo26b2o13b3o20bo8bobo43bo4bo22bo14b3o18bobo12b2ob2o15b3o41b3o27bo15b
o21bobo7bo45bo2bo16b5o$8b3obo16b2o14bo3bobo34bo13bobo13bob2o3b2obo13b
3obo4bo28b3ob2o2b3o7bobo3bo12b2o6bo14b3o12b2o6b2ob2o9b3o16b2o11bo2bob
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2o17b2o11b3o3b3o14b2o6b2o44b2o3b2o21b3o12bo3bo19b2o10b2o2b3o13b2ob2o40b
3o15bo10bo2bo34bobobo6b2o43b2ob2o20b5o12bo2b2o18b3o3bo6bo3bobo14b2o15b
o40bo2bo12b2o16bobo17b3ob2o2b3o30bo13bob2o16bo6b3o13b3o13bo7b4o8bo3bo
15b3o10bob2ob3obo13b2o21b2o11b3o13bobo5bobo14bo3b2ob2o28b3obo4bo8bo5b
2o12bo6bo15bo13bo7b2ob2o9b3o17bo11b3o3b3o13b3o5bo16bo28bo7bo20b3o34bo
2bo12b4o14bo4bo16bo22b3o11bo13bo3bo13bo5bo15bo10bo25bo16bo2bo2bo22bo13b
obobo18b2o11bo20bo2bo13bo3bobo21bo12bo2b2o11b2o14bo2bo2bo18bo6bo26bob
obo5bobo5bo3bo17b2o2bo2bo$7b2o2b3o15bobo9bo2bo41b2ob2o11b2o14b2o2bo2b
o13bo3bobo3bo27bob3ob3obo7b3o4bo13b2o5b2o30bo5bo12b2ob2o16b2o10b3obo4b
o14bo5bo14bo13b3o13b2o6bo15b3o3b3o13b2o14b3o3b3o8b6obo14b2o3b2o8b2o18b
3o7b3o11b2o15b2o17bo2bo13b2o7b2o13b3o11b2o14b3o2b2o37bo3bo13b2o3b2o9b
3o20b2ob2o9bo42b3o3bo8b3obo18b3o13bo4bo4bo26bobo3bo3bobo5b2ob2o20bobo
12bo3b3o10bo13bo6bo22b2obo9bobo5bobo34b4o12bo17b5o13bob3ob3obo26bobo3b
o3bobo6b3o17bobo5bobo7bo5bo12bo2bo5bo2bo8bo4bo18bo9b3ob2o2b3o34b2ob2o
9bobo13bo6b3o14b3o3b3o13bo14bo3bobo3bo8bo4bo14bo7bo6bo2bo18b2o7b2o10b
o2bo15bo2bo11bo3b2ob2o36b3o10b3o14bo6bo16bo5bo13bobobo12b3o3b3o8bo2bo
3bo14bo2bo2bo8b2o19bo9bo11b2o17b2o17b3o13b2o3bo3b2o14bo12bo16bo4bo17b
o2bo2bo14bo2bo13bo5bo10bo5bobo13bo3bo10bo42bo4bo9bob2o19bo13bobo3bo3b
obo31bo12bo2bo16bob2o3b2obo$6b2o3b2obo15b3o8bobo7bobo31b2o2b2o10b2o14b
5o17bo4bob3o12bo2bo11b3o2b2ob3o30bo6b2o6b3o16b2ob2o6b2o9b2ob2o15bob3o
12bo2bo2bo21bo12bo3bobo8bo17bo4bo16bo2bo17bo3bo11b2ob2o3bo12bo19b2o2b
3o6b4o20bo17bob2o18bobo13bo3bo13b2o6b2o13bo3bo8bobo16bob3o17b3o14bob2o
b3o13b2o14bobo8bo13b2ob2o8b2o18b3o19bo15b2ob2o17bobo12b2o6bobobo13b3o
10bo18b3o18b5o14bo3bo10bo3b3o14bo7bobo14b3o9bo44b5o8b2obo13bo4bo15b3o
2b2ob3o34bo12bo19b3o6bo6bobo16b4o7bo9bo2bo2bo18bo10bob2o3b2obo18b2o12b
o4bo8b2obo15b2o2b2o15b2ob2o3bo13bo2bo12bo4bob3o9bo8bo11bo6bo6bo2bo16b
2ob2o7bo9bo3bo15bobobo13b2ob2o15bo5b3o12b3obo10bo15bobo3bo16b3o17bo2b
2o13bo2bo12bob2o20bo4bo8bobo17b3o19bobo12bo4bobo15b2obo11bo10bo14b3o10b
2o9bo6bo3bo18bo15bobo2b3o14b2o14b2o22bo2bo8b2o10bo9bo22bo4bo8b2obo20b
o13bo6bo18bo10bobo5bobobo7b3o18bo2bo2b2o$5b3o2b2ob3o34bo12bo19b3o6bo6b
obo16b4o7bo9bo2bo2bo18bo10bob2o3b2obo18b2o12bo4bo8b2obo15b2o2b2o15b2o
b2o3bo13bo2bo12bo4bob3o9bo8bo11bo6bo6bo2bo16b2ob2o7bo9bo3bo15bobobo13b
2ob2o15bo5b3o12b3obo10bo15bobo3bo16b3o17bo2b2o13bo2bo12bob2o20bo4bo8b
obo17b3o19bobo12bo4bobo15b2obo11bo10bo14b3o10b2o9bo6bo3bo18bo15bobo2b
3o14b2o14b2o22bo2bo8b2o10bo9bo22bo4bo8b2obo20bo13bo6bo18bo10bobo5bobo
bo7b3o18bo2bo2b2o10b2o14bo4bo16b2o3b2obo15b3o8bobo7bobo31b2o2b2o10b2o
14b5o17bo4bob3o12bo2bo11b3o2b2ob3o30bo6b2o6b3o16b2ob2o6b2o9b2ob2o15bo
b3o12bo2bo2bo21bo12bo3bobo8bo17bo4bo16bo2bo17bo3bo11b2ob2o3bo12bo19b2o
2b3o6b4o20bo17bob2o18bobo13bo3bo13b2o6b2o13bo3bo8bobo16bob3o17b3o14bo
b2ob3o13b2o14bobo8bo13b2ob2o8b2o18b3o19bo15b2ob2o17bobo12b2o6bobobo13b
3o10bo18b3o18b5o14bo3bo10bo3b3o14bo7bobo14b3o9bo44b5o$6bob3ob3obo26bo
bo3bo3bobo6b3o17bobo5bobo7bo5bo12bo2bo5bo2bo8bo4bo18bo9b3ob2o2b3o34b2o
b2o9bobo13bo6b3o14b3o3b3o13bo14bo3bobo3bo8bo4bo14bo7bo6bo2bo18b2o7b2o
10bo2bo15bo2bo11bo3b2ob2o36b3o10b3o14bo6bo16bo5bo13bobobo12b3o3b3o8bo
2bo3bo14bo2bo2bo8b2o19bo9bo11b2o17b2o17b3o13b2o3bo3b2o14bo12bo16bo4bo
17bo2bo2bo14bo2bo13bo5bo10bo5bobo13bo3bo10bo42bo4bo9bob2o19bo13bobo3b
o3bobo31bo12bo2bo16bob2o3b2obo7bo4b3o10b2o2bo5bo2b2o7b2o2b3o15bobo9bo
2bo41b2ob2o11b2o14b2o2bo2bo13bo3bobo3bo27bob3ob3obo7b3o4bo13b2o5b2o30b
o5bo12b2ob2o16b2o10b3obo4bo14bo5bo14bo13b3o13b2o6bo15b3o3b3o13b2o14b3o
3b3o8b6obo14b2o3b2o8b2o18b3o7b3o11b2o15b2o17bo2bo13b2o7b2o13b3o11b2o14b
3o2b2o37bo3bo13b2o3b2o9b3o20b2ob2o9bo42b3o3bo8b3obo18b3o13bo4bo4bo26b
obo3bo3bobo5b2ob2o20bobo12bo3b3o10bo13bo6bo22b2obo9bobo5bobo34b4o$7b3o
b2o2b3o30bo13bob2o16bo6b3o13b3o13bo7b4o8bo3bo15b3o10bob2ob3obo13b2o21b
2o11b3o13bobo5bobo14bo3b2ob2o28b3obo4bo8bo5b2o12bo6bo15bo13bo7b2ob2o9b
3o17bo11b3o3b3o13b3o5bo16bo28bo7bo20b3o34bo2bo12b4o14bo4bo16bo22b3o11b
o13bo3bo13bo5bo15bo10bo25bo16bo2bo2bo22bo13bobobo18b2o11bo20bo2bo13bo
3bobo21bo12bo2b2o11b2o14bo2bo2bo18bo6bo26bobobo5bobo5bo3bo17b2o2bo2bo
12bo2bo20bo4bo7b3obo16b2o14bo3bobo34bo13bobo13bob2o3b2obo13b3obo4bo28b
3ob2o2b3o7bobo3bo12b2o6bo14b3o12b2o6b2ob2o9b3o16b2o11bo2bobo3bo13bo22b
3o11bo15b2o5b2o19bo2bo30bo3b2ob2o10bo3bo13b3o2b2o16bo21bo13b2o17b2o11b
3o3b3o14b2o6b2o44b2o3b2o21b3o12bo3bo19b2o10b2o2b3o13b2ob2o40b3o15bo10b
o2bo34bobobo6b2o43b2ob2o20b5o12bo2b2o18b3o3bo6bo3bobo14b2o15bo40bo2bo
$8bob2o3b2o28bobo7bobo7b2o17b2o2b2o14b2o2bo20b5o8b3o28b3ob2ob3o38bo28b
3o6bo17b2ob2o32bo2bo2bo9b3o16bobo3bo13b2ob2o19bo4bo28bo12bob2o3bo22bo
42bo3bo6bo19b2obo33bo3bo12b3o15bo3bo15b3o21b3obo26b2o13b3o20bo8bobo43b
o4bo22bo14b3o18bobo12b2ob2o15b3o41b3o27bo15bo21bobo7bo45bo2bo16b5o16b
2o2bo19bo4bo8b3o17bo16bo26bo13b2o12bo15bo2bo2b2o18bo2bo2bo29bob2o3b2o
bo7b2o18bo4bo14bo2bo19b2o2b2o10bo34bob3o14bo8bo44bo6b2o17bo3bo33b2ob2o
11bo3bo14bob3o15b3o20bo3bobo26bo13bo2bo27b2obo43b2o2b3o19bobo34bob2o12b
2obo16b3o17b3o20bo3bo26b2o13b3o29b2o27bo11bo5b2ob2o15bo4bo14bob2o19bo
14bo20b2o15bobobo21b3o12bo$9b3o2b2o38bo9b2o18b2ob2o14bo3bo17bo2bo2b2o
38b5o2b2obo18bo4b3o44b2o2b2o18b2ob2o33bo4bob3o30bo5bo10b2o19bo6b2o36b
2ob2ob2o21bob6o39bo4bo3bobo18b2o36bo2bo12bo19b3o15bo23b2o2b3o40bob2o27b
3o38b2o5bo3bo15bo3b3o14b3o18b3o14b2o35bob2o21b2ob2o42bo30bo29bobo5bob
obo5b3o17b4o15bobo19b5o13bo27bo8bobo22b3o46b5o17bo4bo31b3o2b2ob3o7bo18b
2ob2o4bo10b4o17b3o6bo36bob2obo2bo21bo4bo39b2o4bo4bo19bo2bo33b2ob2o3bo
8bo19b3o6bo8b2obo19bo6bo38bobo3bo21bo3bo2bo38b3o4b3obo20b2o14bo2bo17b
3o13bo20bo17b2o21bo4bo42bobo20bobo5bo40bo6b3o16bo4bo16bo20bo15b3o59bo
2bo$10bob3o32bobo3bo3bobo28bo3b2o10bo19bob2o3b2obo35bobobob2ob2o19bo3b
obo46b2ob2o19b3o34bo3bobo3bo26b3o4bobo30b2o5b2o36bo4b2ob2o20bo3bo41bo
6bo24b2o35b3o3b3o8bo26b3o7b3o20b2o3b2o38b3o3b2o20b3o2b2o41b2o5b3o17bo
58bo26b2ob2o5bo22b2ob2o44b3o3bo16bobo3bo37bo4bo26bo2bo39bobo39bo2bobo
28b2obo46b4o18bo3bo33bob3ob3obo27b2o5bo10b2o18bobo5bobo35bobobo4bo19b
2o5bo46b2ob2o19b3o35b3o3b3o28bo5b3o8b2o20bo7bo37b3obo2bo21b4o50b3o21b
o16bo20bo5bo9b2o25b2o3bo4b2o21bo2bo2bo39bo3b2o27bo31bobo3bo3b2o6bo18b
2o2bo37bo2bo2bo37b2ob2o4b3o21bo3bo$11b3o38bo6bo26b2o38b2o2bo2bo36b3o2b
5o24b2o47bo24bo36b3obo4bo44b2o19b2o6bo37b2o4b3o21bo3bo49b3o63bo2bo34b
2o31b3o2b2o38bo5b2o23bob2o33bo8b2o72b3o34b2o5bo4bo21b2ob2o40b3o7bo22b
o33bobobo6b2o26bo41b5o35bo2b2o5b2o22b2o48bo2bo20b3o35b3ob2o2b3o26bo5b
o31bo6b3o37bo3b2ob2o23b3o48b2o60bo3b2ob2o33b2o10bo20bo6bo37b2ob2ob3o22b
3o42bo8bo65b3o34bobobo2bo26bo4bo39b3o3bo22b2ob2o45bo71bo36bob2o2bo27b
o2bo$12bo36bobo7bo65b5o40b2o4b2o26bo43bo5b2o62bo2bo2bo33b2o32bo4bo37b
2o2bo30bo43bo70bo3bo33bo5bo28bob3o38bo3bobo28bo42b2obo69bobo34bob3o3b
o27b3o40bo3bo26b3o44b2o65bo4bo37bo3bob2o28b2o41b3o4bo61bob2o3b2o67b2o
2b2o39bo4bo78bo63b2ob2o35bo31bobo3bo37bo4b2o28bo41bo73b2obo33bob3o30b
o3bo39b3obo27b2o35bo8bobo71bo35b2o2b2obo27b3o$58bo67b4o37b4o3b3o70b3o
68bo4bo68b2ob2o36b3o6bo66bo4bo70bo2bo36bo33b3o38bo6bo26b2o38bo3bo2bo70b
2o35bo4bo31bo40bo4bo65bobo5bo66bo4bo37bo4b2o71bo2bo67b3o2b2o68b2ob2o36b
o2bo4bo66bo4b3o68b2ob2o73bo37bo6b2o26bo38bob6o69b2o36bob4obo28b3o39b2o
2b3o26bo44b3o65bo3b3o35b2o4b2o$51bobo3bo69bo2bo39bo2b2obo69b2obo68bo3b
o71b2o36bobo5bobo64b2o5bo70b3o38bo4bo28bo38bo7bo66b4o74bo37bo4bobo68b
o2bo2bo72bo68b2o2bo37bobo5bo68bo3bo68bob3o73bo35bob2o3b2obo65bo3bobo70b
3o38bo32b3o37b2o5b2o66bo3bo73b2o40b2o70b2o3b2o66b3o2b2o68bo42bo4b2o$56b
o72bo41b5o69b2o72b3o43b2o27bo37bo6b3o69b3o113bo3bo67bo6bo68b3o117bobo
68bo4bo68b2ob2o114bo3bo69bo2bo70b3o72b2o38b2o2bo2bo70b2o72bo40bo3b2o65b
2o6bo67bo3bo115b4o67b3o2b2o69bob2o118bo$53b3o43bo67bo4bo73b2o115bo70b
2o2b2o188bob2o67bobo3bo72bo116b2o69bo3bo71b2o118bo70b3o72bo44b2o66b5o
74bo116b3o68bo4bo72bo115b2obo68bob3o73bo114bob2o$99bo67bo4bo190bobo68b
2ob2o191bo73bo72bo115bo2bo70b3o72bo112bo3b3o190bo69b4o192b2o68b2ob2o191b
o70b3o72b2o116b2o$168b2o2bo265bo190bo71b3o190b2o260bo266bo2bo263b2o190b
2o72bo191bo$436b2o987bo264bo!
Last edited by WhiteHawk on February 13th, 2026, 2:09 am, edited 13 times in total.
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis

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LuveelVoom
Posts: 463
Joined: April 27th, 2022, 7:59 pm

Re: HighLife

Post by LuveelVoom » October 1st, 2025, 5:40 pm

p11 is surely easy with a drifter search, is it not?
OCA primer (WIP): User:LuveelVoom/A_Primer_On_OCA
My rules: viewtopic.php?f=11&t=6843
YBOCAD: viewtopic.php?f=11&t=7036
Discord user: LuveelVoom

WhiteHawk
Posts: 1198
Joined: July 10th, 2024, 5:34 pm

Re: HighLife

Post by WhiteHawk » October 1st, 2025, 6:50 pm

LuveelVoom wrote:
October 1st, 2025, 5:40 pm
p11 is surely easy with a drifter search, is it not?
Presumably, a p13 billiard table is known (though again I can't find it in the forums currently)

EDIT 2: Here it is, from Misc Disc in OCA from 2015!

Code: Select all

x = 18, y = 17, rule = B36/S23
6b2o$7bo$6bo$6b2o$9b2o$6b3o2bo4b2o$5bo3b2o2b2o2bo$4bob2o3b2ob3o$3bo2b
ob3o$3bobo6b3o$b2o2b2obo4bobo$2bobo4bobo3bo$obobob2o3b4o$2o2bobob3o$4b
o2bo3b2o$5bobo2bo2bo$6bo4b2o!

EDIT:
Here are the two oscillators of the form 59+96n I can find. Is there a way to make additional periods and actually prove adjustability?

Code: Select all

x = 2205, y = 616, rule = B36/S23
1258bo$1257b3o$1260bo$748b3o506b2obo$635b2o100b2o8bo91b2o100b2o100b2o
100b2o100b2o10bo89b2o100b2o$635b2o100b2o7bo3bobo86b2o100b2o100b2o7bob
o90b2o100b2o8bobo89b2o100b2o$745bo306bobo4b2o196bobo$744bo7bobo297b2o
bobobo197bobo205b2o$744bo6bo300bob2obo2bo403b2obo$744bobo3bo3bobo204b
o89b2obobo3bo204bo197b2o2bob2o$749bo206b3o3bo87bo3bob3o3b2o201bo197b4o
2b3o$746bobo7bobo196bo95b5o4bobo202bo198bo4bob2o$755bo199bo105bo402b2o
b2o3b2o$748bobo3bo3bobo194bo2bo2bo297bobo204bo4bo$753bo207bo204b3o89b
o4bo$750bobo7bobo198bo102b2o99bo3bo87b2o5bo$759bo105bo4b2o82bo3b3o104b
2o97bo4bo85b2o4bo2b2o$666bobo4b2o77bobo3bo3bobo10b2o86b2ob2o4bo4b2o76b
o23b2o81bob2o15b2o80bo2bo2bo13b2o71b2ob2o4b2o18b2o100b2o100b2o$665bo2b
o4b2o82bo6bo10b2o84b4o4bo2bo4b2o100b2o81b3o16b2o80bo4bo14b2o73b2obobo
bo19b2o89bo10b2o100b2o$665b2o87bobo7bo95bo2bobobo4bo190bo99bo3bo90bob
o13b3o98bo$665bo2bo94bo95bo2bo2bo2b3o293b3o106bo102b3o$666b2o88bobo3b
o96b3o410bo3bobo97b4o$649b2o100b2o8bo91b2o100b2o100b2o100b2o13b3o84b2o
8bo91b2o7bo2bo3bo85b2o$649b2o100b2o5b3o92b2o100b2o100b2o14bo85b2o12bo
3bo83b2o7bo7bobo82b2o6bob2o90b2o$1072b3o97bo4bo92bo6bo95b2o8bo$662b2o
407b2obo96bo2bo2bo92bobo3bo3bobo90b2o112bo$1070b2o99bo4bo98bo98b2o106b
3o3bo$1071b2o98bo3bo96bobo7bobo196bo$1172b3o106bo105bo93bo$1274bobo3b
o3bobo194bo2bo2bo$672b3o507b3o94bo97bo109bo$671bo3bo404b2o99bo3bo90bo
bo7bobo198bo$670bo4bo307bo97b2o97bo4bo99bo103b2o89bo3b3o$669bo2bo2bo308b
2o92bob2o97bo2bo2bo92bobo3bo3bobo99b2o89bo$669bo4bo15bo101bo101bo89b2o
10bo81b3o17bo80bo4bo15bo82bo6bo11bo78bo8b2o12bo101bo$669bo3bo14b3o99b
3o89bo9b3o90b3o6b3o82bo16b3o80bo3bo14b3o79bobo7bo9b3o87b2obo8b3o99b3o
$670b3o14bo101bo91bo9bo95b2o4bo101bo84b3o14bo91bo9bo85bo3bo2bo8bo101b
o$687b2o100b2o89bo2bo7b2o100b2o100b2o100b2o83bobo3bo10b2o84b4o12b2o100b
2o$680b3o196bobobo93bo10b2o200b3o94bo98b3o$679bo3bo194bo3bo95b2o109bo
99bo3bo90b3o102bo$678bo4bo196b2o6b3o87b3o107b3o97bo4bo194bo$677bo2bo2b
o204b3o89bo106b2obo96bo2bo2b4o202b2o$677bo4bo204bo3b2o87b2o104b2o99bo
4bo2b2o202b2o$677bo3bo209b2o88bobo103b2o98bo3bo$678b3o4bo199bobob2o2b
o89bo204b3o$671b2o11bobo13b2o100b2o79b2o6b4o9b2o100b2o100b2o80bo19b2o
100b2o100b2o100b2o$671b2o10bo2bo13bo101bo80b2o2bo2bo2b3o8bo101bo84b3o
14bo81b2o18bo101bo81b2o18bo101bo$684b2o12bobo99bobo80b2o2bobo4bob2o4b
obo99bobo87bo11bobo81b2o16bobo99bobo81b2o16bobo99bobo$698b2o100b2o83b
2obo5bob2o4b2o100b2o83bobo3bo10b2o100b2o100b2o100b2o100b2o$670bo18b2o
194b2obo4bobo2b2o196bo106b2o202b2o$669bobo16bo2bo195b3o2bo2bo2b2o187b
obo7bo105b2o202b2o$670bo17bobo197b4o6b2o190bo6bo106bo$667b3o19bo4b3o192b
o2b2obobo105bo81bobo3bo3bobo106b3o81bo$667bo25bo3bo192b2o111bobo86bo9b
2o99bo3bo79bo3b3o$692bo4bo192b2o3bo109b2o76bobo7bobo7b2o93b2o2bo4bo86b
o107b2o$691bo2bo2bo194b3o111bo79bo13bob2o94b4o2bo2bo86bo88b3o16b2o$691b
o4bo195b3o6b2o103b3o72bobo3bo3bobo6b3o98bo4bo81bo2bo2bo90b2o27bo$691b
o3bo204bo3bo102b2o79bo12bo99bo3bo82bo23b3o66bo4b2o25bo75b3o$692b3o204b
obobo93b2o10bo69bobo7bobo110b3o83bo22bo74bo27b3o71bo3bo$899bo2bo179bo
206b3o3bo14bo3bobo64bo3b2o27b4o70bo4bo$702b3o196bo96b2o77bobo3bo3bobo
122b3o79bo14bo72b3o25bo2bo3bo70bo2bo2bo$701bo3bo194bo98b3o82bo26bo99b
o3bo92bo7bobo66b3o21bob2o76bo4bo$700bo4bo295b2o72bobo7bobo22b3o97bo4b
o92bo6bo69b2obo3bo18b2o8bo68bo3bo$689b2o8bo2bo2bo295b2o75bo30b2obo96b
o2bo2bo92bobo3bo3bobo66b2ob4o17b2o78b3o31bo87b2o$685bo3b2o8bo4bo298bo
69bobo3bo3bobo22b2o99bo4bo98bo73b2obo2b2o17b2o106b3o3bo86b2o$684bobo12b
o3bo376bo28b2o98bo3bo96bobo7bobo66bo4bo86b3o35bo$683bobo14b3o368bobo7b
obo126b3o106bo69bo4bo30bo54bo3bo34bo$683bo390bo237bobo3bo3bobo64bo90b
o4bo33bo2bo2bo$682b2o78bo306bobo3bo3bobo138b3o49bo44bo72bobo22bo64bo2b
o2bo38bo$761bo3b3o308bo41b2o99bo3bo47bo3b3o36bobo7bobo154bo4bo38bo$768b
o298bobo7bobo39b2o97bo4bo54bo44bo103b2o53bo3bo31bo3b3o$768bo301bo45bo
b2o97bo2bo2bo54bo37bobo3bo3bobo99b2o53b3o33bo$762bo2bo2bo296bobo3bo3b
obo38b3o98bo4bo49bo2bo2bo42bo6bo90bo8b2o$762bo55b3o142b3o106bo44bo99b
o3bo50bo45bobo7bo99b2obo$762bo54bo44b2o98bo3bo96bobo7bobo142b3o51bo54b
o95bo3bo2bo$763b3o3bo46bo3bobo38b2o63bo35bo4bo98bo206b3o3bo40bobo3bo96b
4o$768bo46bo46b2obo96bo2bo2bo92bobo3bo3bobo154b3o47bo46bo98b3o$814bo7b
obo38b3o61bobo33bo4bo92bo6bo58bo35bo63bo3bo90b3o102bo167b2o7bo3bo$814b
o6bo42bo64bo34bo3bo92bo7bobo54b3o35bo61bo4bo194bo168b2o4bo5b4o$814bob
o3bo3bobo99b2o37b3o63bo30bo62b2obo8b2o22b3o61bo2bo2bo374b2ob3o$729bo89b
o105bo2bo2bo94b3o3bo30bo3bobo54b2o11bobo20b4o61bo4bo368bobo6bobo$728b
3o85bobo7bobo95bo30b3o67bo38bo60b2o10bo22bo3bo2bo57bo3bo378b2o$727b2o
b2o93bo28bo68bo7bo22bo3bo66bo39b3o97b2obo57b3o368bobo7bobo$728b3o87bo
bo3bo3bobo22b3o62bo3bo6bobo22bo4bo65bo2bo2bo124bo8b2o433bo$729bo16bo76b
o29bob2o63bobo5b3o23bo2bo2bo70bo133b2o194b3o231bobo3bo3bobo$745bo3b3o
68bobo7bobo23b2o65bo3b2o26bo4bo70bo132b2o195bo2bo237bo$752bo76bo25b2o
63b2o4b2o28bo3bo63bo3b3o330bo3bo227bobo7bobo$752bo69bobo3bo3bobo92bo29b
3o65bo323b2o11bo2bo230bo$721bo24bo2bo2bo74bo6bo88bob2o421b2o7b3o3b3o225b
obo3bo3bobo$720b3o23bo77bobo7bo327bo187bo6bo2bo237bo$719b2ob2o22bo86b
o292b3o228bo3bo227bobo7bobo$720b3o24b3o3bo72bobo3bo293bo231bo2bo230bo
$721bo17b2o11bo78bo111b2o182bo19b2o210b3o225bobo3bo3bobo$637bo101b2o87b
3o112b2o202b2o438bo6bo$638bo948bo7bobo$635b3o714bo204bo7b2o21bo$634b4o
713bobo198b3o3bo7bo22bo3bobo$634bo3bo2bo102b2o202b2o202b2o185bo11bo2b
o196bo14bobo21bo$639b2obo101b2o202b2o202b2o184b2o12b2o197bo15bobo21b3o
$630bo8b2o108b2o100b2o100b2o100b2o100b2o100b2o77bobo20b2o100b2o86bo2b
o2bo10bo3b2o$639b2o90b2o16bobo99bobo81b2o16bobo99bobo81b2o16bobo99bob
o85b2o12bobo99bobo91bo14b2o$617bo20b2o91b2o18bo101bo81b2o18bo101bo81b
2o18bo101bo84bo2bo13bo101bo91bo42b2o$617b3o131b2o100b2o100b2o100b2o100b
2o100b2o84bobo13b2o100b2o83bo3b3o43b2o$620bo727bo202bo$619b2o$636bo99b
2o202b2o202b2o$724bo11b2o202b2o202b2o193b3o$723bo3b3o609bo2bo$621b2o107b
o608bo3bo$621b2o107bo399bo209bo2bo$724bo2bo2bo7b2o100b2o100b2o100b2o100b
2o100b2o85b3o3b3o6b2o100b2o96bo$724bo13bo101bo84b3o14bo101bo101bo101b
o86bo2bo11bo101bo97b3o$606b2o99b2o15bo14b3o82b2o15b3o80bo3bo14b3o99b3o
99b3o99b3o83bo3bo11b3o99b3o97bo$607bo18b2o79b2o16b3o3bo9bo81b2o18bo80b
o4bo15bo101bo79b2o20bo101bo84bo2bo13bo101bo96bobo$607bobo16b2o102bo93b
2obo96bo2bo2bo195b2o209b3o213bo$608b2o215b3o97bo4bo195b2o8bo444b2o$613b
2o211bo99bo3bo90b3o100bob2o453bobo$613b2o312b3o94bo100bo2bo3bo421b2o27b
o$1019bobo3bo103b4o421b2o27b2o$917b3o106bo102b3o$816bo99bo3bo96bobo7b
o100bo$618b2o195b3o98bo4bo98bo6bo101bo$618b2o19bo68bo106bob2o97bo2bo2b
o92bobo3bo3bobo190bo248b2o$640bo66bo3b3o104b2o97bo4bo99bo194bo3b3o243b
2o7bobo$638b3o73bo102b2o99bo3bo90bobo7bobo198bo251bobo4b2o$604bo109bo
204b3o94bo207bo251b2obobobo$708bo2bo2bo296bobo3bo3bobo194bo2bo2bo251b
ob2obo2bo85b2o$708bo309bo199bo200b3o53b2obobo3bo85bo$589b2o117bo300bo
bo7bobo196bo199bo3bo51bo3bob3o3b2o83b3o$589b2o10b2o106b3o3bo296bo206b
3o3bo192bo4bo51b5o4bobo86bo$600b2o112bo292bobo3bo3bobo204bo193bo2bo2b
o60bo$600b2o8bo403bo404bo4bo$598bob2o403bobo7bobo402bo3bo122b3o$599bo
2bo3bo22bo10b2o366bo412b3o64b2o60bo$603b4o20bobo11b2o360bobo3bo3bobo473b
2o54bobo3bo$603b3o22b2o8bob2o92b2o274bo400b3o72bob2o15b2o45bo$602bo35b
3o71b2o20b2o265bobo7bobo396bo3bo71b3o16b2o36bobo7bo$603bo35bo72b2o290b
o405bo4bo71bo58bo6bo$999bobo3bo3bobo190bo207bo2bo2bo124bobo3bo3bobo$1006b
o194bo3b3o203bo4bo131bo$997bobo7bobo198bo203bo3bo64b2o56bobo7bobo$649b
o350bo207bo204b3o65b2o14bo44bo$648b3o344bobo3bo3bobo194bo2bo2bo287b3o
38bobo3bo3bobo$647b2obo351bo199bo292b2obo45bo$646b2o144b2o199bobo7bob
o196bo291b2o39bobo7bobo$647b2o142b2o203bo206b3o3bo285b2o41bo$792b2obo
195bobo3bo3bobo204bo324bobo3bo3bobo$793b3o195bo6bo541bo$794bo196bo7bo
bo529bobo7bobo$656b2o334bo511b2o28bo$657b2o35b2o297bo3bobo505b2o22bob
o3bo3bobo$654bob2o36b2o298bo507bob2o30bo$594b2o58b3o17bo109bo210b3o504b
3o22bobo7bobo$594b2o59bo16b3o108b3o717bo26bo$671bo111bob2o738bobo3bo3b
obo$671b2o113b2o744bo$785b2o736bobo7bobo$665bo847bo12bo$664b3o845b3o6b
obo3bo3bobo$663b2obo844b2obo13bo$662b2o846b2o7bobo7bobo$663b2o846b2o9b
o$768b2o100b2o100b2o100b2o100b2o100b2o100b2o135bobo3bo3bobo$684b2o82b
2o100b2o100b2o100b2o100b2o100b2o100b2o135bo6bo$667b3o14bo832bo7bobo$670b
o11bobo833bo94b2o$576b2o87bobo3bo10b2o823b2o10bo3bobo87b2o$576b2o94bo
833bobo11bo$663bobo7bo832bo14b3o$666bo6bo135b2o100b2o100b2o100b2o100b
2o100b2o100b2o82b2o$661bobo3bo3bobo135b2o100b2o100b2o100b2o100b2o100b
2o100b2o$668bo9b2o846b2o$659bobo7bobo7b2o846b2o$662bo13bob2o844bob2o$
657bobo3bo3bobo6b3o845b3o$664bo12bo847bo$655bobo7bobo736b2o$658bo744b
2o113b2o$653bobo3bo3bobo738b2obo111bo$660bo26bo717b3o108b3o16bo59b2o$
651bobo7bobo22b3o504b3o210bo109bo17b3o58b2o$654bo30b2obo507bo298b2o36b
2obo$649bobo3bo3bobo22b2o505bobo3bo297b2o35b2o$656bo28b2o511bo334b2o$
647bobo7bobo529bobo7bo196bo$650bo541bo6bo195b3o$645bobo3bo3bobo324bo204b
obo3bo3bobo195bob2o$652bo41b2o285bo3b3o206bo203b2o142b2o$643bobo7bobo
39b2o291bo196bobo7bobo199b2o144b2o$646bo45bob2o292bo199bo351bob2o$641b
obo3bo3bobo38b3o287bo2bo2bo194bobo3bo3bobo344b3o$648bo44bo14b2o65b3o204b
o207bo350bo$639bobo7bobo56b2o64bo3bo203bo198bobo7bobo$642bo131bo4bo203b
3o3bo194bo$637bobo3bo3bobo124bo2bo2bo207bo190bobo3bo3bobo$637bo6bo58b
o71bo4bo405bo290b2o72bo35bo$637bo7bobo36b2o16b3o71bo3bo396bobo7bobo265b
2o20b2o71b3o35bo$638bo45b2o15b2obo72b3o400bo274b2o92b2obo8b2o22b3o$639b
o3bobo54b2o473bobo3bo3bobo360b2o11bobo20b4o$640bo60b2o64b3o412bo366b2o
10bo22bo3bo2bo$641b3o122bo3bo402bobo7bobo403b2obo$766bo4bo404bo403bo8b
2o$705bo60bo2bo2bo193bo204bobo3bo3bobo292bo112b2o$617bo86bobo4b5o51bo
4bo192bo3b3o206bo296bo3b3o106b2o10b2o$617b3o83b2o3b3obo3bo51bo3bo199b
o196bobo7bobo300bo117b2o$620bo85bo3bobob2o53b3o200bo199bo309bo$619b2o
85bo2bob2obo251bo2bo2bo194bobo3bo3bobo296bo2bo2bo$707bobobob2o251bo207b
o94b3o204bo109bo$706b2o4bobo251bo198bobo7bobo90bo3bo99b2o102bo73b3o$712b
obo7b2o243b3o3bo194bo99bo4bo97b2o104b3o3bo66bo$722b2o248bo190bobo3bo3b
obo92bo2bo2bo97b2obo106bo68bo19b2o$1061bo101bo6bo98bo4bo98b3o195b2o$1062b
o100bo7bobo96bo3bo99bo$1059b3o102bo106b3o$606b2o27b2o421b4o103bo3bobo
$607bo27b2o421bo3bo2bo100bo94b3o312b2o$607bobo453b2obo100b3o90bo3bo99b
o211b2o$608b2o444bo8b2o195bo4bo97b3o215b2o$637bo213b3o209b2o195bo2bo2b
o96bob2o93bo102b2o16bobo$636bobo96bo101bo13bo2bo84bo101bo20b2o79bo101b
o15bo4bo80bo18b2o81bo9bo3b3o16b2o79b2o18bo$637bo97b3o99b3o11bo3bo83b3o
99b3o99b3o99b3o14bo3bo80b3o15b2o82b3o14bo15b2o99b2o$638b3o97bo101bo11b
o2bo86bo101bo101bo101bo14b3o84bo101bo13bo$640bo96b2o100b2o6b3o3b3o85b
2o100b2o100b2o100b2o100b2o100b2o7bo2bo2bo$847bo2bo209bo399bo107b2o$847b
o3bo608bo107b2o$848bo2bo609b3o3bo$849b3o193b2o202b2o202b2o11bo$1045b2o
202b2o202b2o99bo$1570b2o$639bo202bo727bo$589b2o43b3o3bo83b2o100b2o13b
obo84b2o100b2o100b2o100b2o100b2o100b2o131b3o$589b2o42bo91bo101bo13bo2b
o84bo101bo18b2o81bo101bo18b2o81bo101bo18b2o91b2o20bo$617b2o14bo91bobo
99bobo12b2o85bobo99bobo16b2o81bobo99bobo16b2o81bobo99bobo16b2o90b2o$617b
2o3bo10bo2bo2bo86b2o100b2o20bobo77b2o100b2o100b2o100b2o100b2o100b2o108b
2o8bo$597b3o21bobo15bo197b2o12b2o184b2o202b2o202b2o101bob2o$600bo21bo
bo14bo196bo2bo11bo185b2o202b2o202b2o102bo2bo3bo$595bobo3bo22bo7bo3b3o
198bobo713b4o$602bo21b2o7bo204bo714b3o$593bobo7bo948bo$596bo6bo438b2o
202b2o112b3o87b2o101bo$591bobo3bo3bobo225b3o210b2o19bo182b2o111bo78bo
11b2o17bo$598bo230bo2bo231bo293bo3bobo72bo3b3o24b3o$589bobo7bobo227bo
3bo228b3o292bo86bo22b2ob2o$592bo237bo2bo6bo187bo327bo7bobo77bo23b3o$587b
obo3bo3bobo225b3o3b3o7b2o421b2obo88bo6bo74bo2bo2bo24bo$594bo230bo2bo11b
2o323bo65b3o29bo92bobo3bo3bobo69bo$585bobo7bobo227bo3bo330b3o3bo63bo3b
o28b2o4b2o63b2o25bo76bo$588bo237bo2bo195b2o132bo70bo4bo26b2o3bo65b2o23b
obo7bobo68b3o3bo$583bobo3bo3bobo231b3o194b2o133bo70bo2bo2bo23b3o5bobo
63b2obo29bo76bo16bo$590bo433b2o8bo124bo2bo2bo65bo4bo22bobo6bo3bo62b3o
22bobo3bo3bobo87b3o$581bobo7bobo368b3o57bob2o97b3o39bo66bo3bo22bo7bo68b
o28bo93b2ob2o$581b2o378bo3bo57bo2bo3bo22bo10b2o60bo38bo67b3o30bo95bob
o7bobo85b3o$580bobo6bobo368bo4bo61b4o20bobo11b2o54bobo3bo30bo3b3o94bo
2bo2bo105bo89bo$579b3ob2o374bo2bo2bo61b3o22b2o8bob2o62bo30bo63b3o37b2o
99bobo3bo3bobo$580b4o5bo4b2o168bo194bo4bo61bo35b3o54bobo7bo92bo3bo34b
o64bo42bo6bo$582bo3bo7b2o167bo102b3o90bo3bo63bo35bo58bo6bo92bo4bo33bo
bo61b3o38bobo7bo$764b3o98bo46bo47b3o154bobo3bo3bobo92bo2bo2bo96bob2o46b
o46bo$764b4o96bo3bobo40bo3b3o206bo98bo4bo35bo63b2o38bobo3bo46bo3b3o$760b
o2bo3bo95bo54bo51b3o142bobo7bobo96bo3bo98b2o44bo54bo$759bob2o99bo7bob
o45bo50bo3bo99bo44bo106b3o142b3o55bo$761b2o8bo90bo6bo42bo2bo2bo49bo4b
o98b3o38bobo3bo3bobo296bo2bo2bo$671bo33b3o53b2o99bobo3bo3bobo37bo54bo
2bo2bo97b2obo45bo301bo$666b3o3bo31bo3bo53b2o103bo44bo54bo4bo97b2o39bo
bo7bobo298bo$665bo38bo4bo154bobo7bobo36b3o3bo47bo3bo99b2o41bo308b3o3b
o$665bo38bo2bo2bo64bo22bobo72bo44bo49b3o138bobo3bo3bobo306bo78b2o$665b
o2bo2bo33bo4bo90bo64bobo3bo3bobo237bo390bo$671bo34bo3bo54bo30bo4bo69b
o106b3o126bobo7bobo368b3o14bobo$671bo35b3o86bo4bo66bobo7bobo96bo3bo98b
2o28bo376bo3bo12bobo$576b2o86bo3b3o106b2o17b2o2bob2o73bo98bo4bo99b2o22b
obo3bo3bobo69bo298bo4bo8b2o3bo$576b2o87bo31b3o78b2o17b4ob2o66bobo3bo3b
obo92bo2bo2bo96bob2o30bo75b2o295bo2bo2bo8b2o$696bo3bo68bo8b2o18bo3bob
2o69bo6bo92bo4bo97b3o22bobo7bobo72b2o295bo4bo$696bo4bo76b2obo21b3o66b
obo7bo92bo3bo99bo26bo82b3o98bo194bo3bo$696bo2bo2bo70bo3bo2bo25b3o72bo
14bo79b3o122bobo3bo3bobo77b2o96bo196b3o$697bo4bo70b4o27b2o3bo64bobo3b
o14bo3b3o206bo179bo2bo$698bo3bo71b3o27bo74bo22bo83b3o110bobo7bobo69bo
10b2o93bobobo204b3o$699b3o75bo25b2o4bo66b3o23bo82bo3bo99bo12bo79b2o102b
o3bo204bo3bo$776bo27b2o90bo2bo2bo81bo4bo98b3o6bobo3bo3bobo72b3o103b2o
6b3o195bo4bo$787b2o16b3o88bo86bo2bo2b4o94b2obo13bo79bo111b3o194bo2bo2b
o$787b2o107bo86bo4bo2b2o93b2o7bobo7bobo76b2o109bo3b2o192bo4bo$897b3o3b
o79bo3bo99b2o9bo86bobo111b2o192bo3bo25bo$902bo81b3o106bobo3bo3bobo81b
o105bobob2o2bo192b3o4bo19b3o$986bo106bo6bo190b2o6b4o197bobo17bo$782b2o
202b2o105bo7bobo187b2o2bo2bo2b3o195bo2bo16bobo$782b2o202b2o106bo196b2o
2bobo4bob2o194b2o18bo$675b2o100b2o100b2o100b2o100b2o10bo3bobo83b2o100b
2o4b2obo5bob2o83b2o100b2o$674bobo99bobo16b2o81bobo99bobo16b2o81bobo11b
o87bobo99bobo4b2obo4bobo2b2o80bobo99bobo12b2o$674bo101bo18b2o81bo101b
o18b2o81bo14b3o84bo101bo8b3o2bo2bo2b2o80bo101bo13bo2bo10b2o$673b2o100b
2o100b2o100b2o19bo80b2o100b2o100b2o9b4o6b2o79b2o100b2o13bobo11b2o$1000b
3o204bo89bo2b2obobo199bo4b3o$999bo3bo98b2o103bobo88b2o209bo3bo$790b2o
202b2o2bo4bo99b2o104b2o87b2o3bo204bo4bo$790b2o202b4o2bo2bo96bob2o106b
o89b3o204bo2bo2bo$802bo194bo4bo97b3o107b3o87b3o6b2o196bo4bo$801bo102b
3o90bo3bo99bo109b2o95bo3bo194bo3bo$802b3o98bo94b3o200b2o10bo93bobobo196b
3o$686b2o100b2o12b4o84b2o10bo3bobo83b2o100b2o100b2o100b2o7bo2bo89b2o100b
2o$687bo101bo8bo2bo3bo85bo9bo91bo14b3o84bo101bo4b2o95bo9bo91bo101bo14b
3o$684b3o99b3o8bob2o87b3o9bo7bobo79b3o14bo3bo80b3o16bo82b3o6b3o90b3o9b
o89b3o99b3o14bo3bo$684bo101bo12b2o8bo78bo11bo6bo82bo15bo4bo80bo17b3o81b
o10b2o89bo101bo101bo15bo4bo$709bo89b2o99bobo3bo3bobo92bo2bo2bo97b2obo
92b2o308bo2bo2bo$704b3o3bo89b2o103bo99bo4bo97b2o97bo307bo4bo$703bo198b
obo7bobo90bo3bo99b2o404bo3bo$703bo109bo97bo94b3o507b3o$703bo2bo2bo194b
obo3bo3bobo$709bo93bo105bo106b3o$709bo196bobo7bobo96bo3bo98b2o$702bo3b
3o106b2o98bo98bo4bo99b2o$703bo112b2o90bobo3bo3bobo92bo2bo2bo96bob2o407b
2o$807bo8b2o95bo6bo92bo4bo97b3o$724b2o90b2obo6b2o82bobo7bo7b2o83bo3bo
12b2o85bo14b2o100b2o100b2o92b3o5b2o100b2o$724b2o85bo3bo2bo7b2o91bo8b2o
84b3o13b2o100b2o100b2o100b2o91bo8b2o100b2o$811b4o97bobo3bo410b3o96bo3b
obo88b2o$812b3o102bo106b3o293b3o2bo2bo2bo95bo94bo2bo$815bo98b3o13bobo
90bo3bo99bo190bo4bobobo2bo95bo7bobo87b2o$700b2o100b2o10bo89b2o19bobob
ob2o73b2o14bo4bo80b2o16b3o81b2o100b2o4bo2bo4b4o84b2o10bo6bo82b2o4bo2b
o$700b2o100b2o100b2o18b2o4b2ob2o71b2o13bo2bo2bo80b2o15b2obo81b2o23bo76b
2o4bo4b2ob2o86b2o10bobo3bo3bobo77b2o4bobo$925b2o2bo4b2o85bo4bo97b2o104b
3o3bo82b2o4bo105bo$926bo5b2o87bo3bo99b2o102bo198bobo7bobo$927bo4bo89b
3o204bo207bo$719bo4bo204bobo297bo2bo2bo194bobo3bo3bobo$717b2o3b2ob2o402b
o105bo199bo$718b2obo4bo198bo202bobo4b5o95bo196bobo7bobo$719b3o2b4o197b
o201b2o3b3obo3bo87bo3b3o206bo$720b2obo2b2o197bo204bo3bobob2o89bo204bo
bo3bo3bobo$723bob2o403bo2bob2obo300bo6bo$724b2o205bobo197bobobob2o297b
obo7bo$931bobo196b2o4bobo306bo$738b2o100b2o89bobo8b2o100b2o90bobo7b2o
100b2o100b2o86bobo3bo7b2o100b2o$738b2o100b2o89bo10b2o100b2o100b2o100b
2o100b2o91bo8b2o100b2o$930bob2o506b3o$930bo$931b3o$932bo197$514bo264b
o987b2o$56bo191bo72b2o190b2o263bo2bo266bo260b2o190b3o71bo190bo265bo2b
2o$55b2o116b2o72b3o70bo191b2ob2o68b2o192b4o69bo190b3o3bo112bo72b3o70b
o2bo115bo72bo73bo191b2ob2o68bobo190bo4bo67bo$54b2obo114bo73b3obo68bob
2o115bo72bo4bo68b3o116bo74b5o66b2o44bo72b3o70bo118b2o71bo3bo69b2o116b
o72bo3bobo67b2obo188b2o2b2o70bo115b2o73bo4bo67bo43b3o$53bo118b2obo69b
2o2b3o67b4o115bo3bo67bo6b2o65b2o3bo40bo72b2o70bo2bo2b2o38b2o72b3o70bo
2bo69bo3bo114b2ob2o68bo4bo68bobo117b3o68bo6bo67bo3bo113b3o69b3o6bo37b
o27b2o43b3o72b2o69b5o41bo72bo$53b2o4bo42bo68b2o2b3o66b2o3b2o70b2o40b2o
73bo3bo66b2o5b2o37b3o32bo38b3o70bobo3bo65bob2o3b2obo35bo73b3obo68bo3b
o68bo5bobo37bo2b2o68bo72bo2bo2bo68bobo4bo37bo74b4o66bo7bo38bo28bo4bo38b
3o70bo5b2o64bobo5bobo36b2o71bo3bo68bob2o69bob2o2bo39bo2bo69bo3bobo$54b
2o4b2o35b3o3bo65b3o44bo26b3o2b2o39b3o28bob4obo36b2o69b6obo38bo26b2o6b
o37bo73b2ob2o68b3o4bo66bo4bo2bo36b2ob2o68b2o2b3o67bo2bo71b2o4bo37bo4b
o66bo5bobo65bo4bo40bo31bo4bo35b2o70bo2bo3bo38b2o26bo6bo38b3o33bo36bo2b
o70bo4bo66bo6b3o36b2ob2o68bo4bo68b3o70b3o3b4o37b4o67bo$23b3o27bob2o2b
2o35bo71bobo8bo35b2o27bob3o39bo3bo30b3obo33bob2o73bo41bo28b2o4bo37bo3b
obo31bo35b2ob2o63bo78bo4bo39b2o2b2o67b2o3b2obo61bo4b3o41b2o28b2obo3bo
37bo4bo65b2o44b3o26bo3bo40b3o27bo3b3obo34bobo69bob2o42bo28bobo3bo38b3o
bo28bo5bo33bo3bo70bo43bo30bo2b2o37bo4bo32b2o33bo2bo2bo62b2o5bo43bo26b
2o4b2o40b5o65bo7bobo36bo$22bo2bo27bo2b2obo36bo71bo45b2ob2o22bo3b3o39b
o4bo26bo2bobobo34b3o65bo8bo42b3o22b3ob2ob2o37bo6bo20bo10b2o33b2ob2o3b
o60b2o48b3o23b2ob2o3bo37b3o6bo31bo5bo26b3o2b2ob3o35b3o20bo2bo48b2o22b
2o5b2o2bo35b5o41bo26b2o6bobobo33bo22bo7b3o40b2ob2o21bo4bo5b2o34b3o72b
2o8bo33b2obo23b2o5bo38b2o2b3o31b2o34bo2bo63b3o49bo3bo21b3o4b2o37bo6b2o
19b2o44bo4bob3o36bo24bo47b2o24b5o2b3o36bo2bo2b2o38b2o26bo6bo38b3o$21b
o3bo21b3o4b2ob2o37bo2bo2bo37bo2b2o18bo6b2o3bo3bobo31bo27b2o3bo39bo2bo
2bo21b2o4bo3b2o25b2o9bo5bo20bo16bo21b3o50b4o21bo2bob3o37bo7bo20b2o8b3o
5bo28b3o3b3o35b3o19b2ob2o46bo5b2o19bo4bobobo35bobo5bobo18b2o10bo5b2o27b
ob3ob3obo33bo3bo18b4o46bob2o28bobo2bo39bobo39bo2bo26bo4bo37bo3bobo16b
o3b3o44b2ob2o22bo5b2ob2o26bo58bo17b3o5b2o41b2o2b3o20b2o3b3o38b2o3b2o20b
3o7b3o26bo8b3o3b3o35b2o24bo6bo41bo3bo20b2ob2o4bo36b2o5b2o30bobo4b3o26b
o3bobo3bo34b3o19b2ob2o46bobo3bo19b2ob2obobobo35bob2o3b2obo19bo10b2o3b
o28bobo3bo3bobo32b3obo$21bo2bo59b3o15bo20bo16bo4bo16b3o6bo40bo5bobo20b
obo42bo4bo21b2o17bo20bo13b3o17bo2bo14b2o20bob3o4b3o38bo2bo3bo21bo3bob
o38bo6bo19bob2o8bo6b3o19bo8bo3b2ob2o33bo2bo19bo4bo4b2o39bo4bo21bo2bob
2obo36bo6b3o17b4o10bo4b2ob2o18bo7b3ob2o2b3o31bo4bo17b5o46b3o22bobo8bo
27bo13b5o19bobo15b4o17b3o5bobobo5bobo29bo30bo42b2ob2o21b2obo35b2o14b3o
18b3o14b3o3bo15bo3bo5b2o38b3o27b2obo40b3o2b2o23bo15b3o19bo12bo2bo36b2o
18bobo3bo4bo39b6obo21b2ob2ob2o36b2o6bo19b2o10bo5bo30b3obo4bo33b2ob2o18b
2o2b2o44b3o4bo18bob2o2b5o38b2o2bo2bo17bo3bo14b2ob2o18b2o9bo38b2o2b3o$
8bo12b3o21bobobo15b2o20bo14bo19b2obo14bo4bo15b2ob2o5bo11bo27b2o29b3o13b
2o26bo3bo20b3o17b3o16bob2o12b2obo34bobo19b3o2b2o43bob2o27bo2bo13bo26b
obo3bo20b3o15b3obo14bo3bo11b2ob2o33bo3bo17b2o6bo44bo8bo14b3obo34bo10b
2o2b2o19bo2bo14bo4bo18b2o7bob2o3b2obo29bo2bo2bo18b2o2bo2bo15bo12b2o13b
o26bo16bo17b3o8bo4bo19bo2b2o16b5o16bo2bo45bo7bobo21bo15bo27b3o41b3o15b
2ob2o12bobo18b3o14bo22bo4bo43bobo8bo20b3o13b2o26bob3o21b3o15bo3bo15b3o
12bo3bo33bob2o19bo6bo3bo42bo22bo3b2obo12bo28bo4bo19b2ob2o13bo3bobo16b
3o9bo2bo2bo32b2ob2o17bo6b3o28bo38b3ob2ob3o28b3o8b5o20bo2b2o14b2o2b2o17b
2o7bobo7bobo28b2o3b2obo$6bo2bo40bo15b2o14bobo3bo6bo3b3o18b2o2bo12b5o20b
2ob2o43b2o6bobobo34bo2bo10bo15b3o40b2ob2o13b3o2b2o10b2o19bo3bo12b3o21b
2o3b2o44b2o6b2o14b3o3b3o11b2o17b2o13bo21bo16b2o2b3o13bo3bo10b2ob2o3bo
30bo2bo19b2o5b2o15bo11b3o22bo13bo3bobo2bo11b2o16b3o9b2ob2o6b2o12b3o14b
o6b2o12bo3bobo7b3o2b2ob3o28bo4bob3o13bob2o3b2obo13bobo13bo34bobo3bo14b
2o16bob3o7bo4bo20bo2bo12bo2bo2b2o17bo3bo5bobo5bobobo26bo6bo18bo2bo2bo
14b2o11b2o2bo12bo21bobo3bo13bo2bo20bo11b2o18bobobo13bo22bo2bo2bo16bo25b
o10bo15bo5bo13bo3bo13bo11b3o22bo16bo4bo14b4o12bo2bo34b3o20bo7bo28bo16b
o5b3o13b3o3b3o11bo17b3o9b2ob2o7bo13bo15bo6bo12b2o5bo8bo4bob3o28b2ob2o
3bo14bobo5bobo13b3o11b2o21b2o13bob3ob2obo10b3o15bo3bo8b4o7bo13b3o13b3o
6bo16b2obo13bo30b3o2b2ob3o$5b4o34bobo5bobo9bob2o22bo6bo13bo10b3o3bo12b
obo20b2ob2o5bobo3bo3bobo26bo4bo4bo13b3o18bob3o8bo3b3o42bo9b2ob2o20b3o
9b2o3b2o13bo3bo37b2o2b3o14b2o11b3o13b2o7b2o13bo2bo17b2o15b2o11b3o7b3o
18b2o8b2o3b2o14bob6o8b3o3b3o14b2o13b3o3b3o15bo6b2o13b3o13bo14bo5bo14b
o4bob3o10b2o16b2ob2o12bo5bo30b2o5b2o13bo4b3o7bob3ob3obo27bo3bobo3bo13b
o2bo2b2o14b2o11b2ob2o41bo2bo9bobo15b3o2b2o7b2o2bo5bo2b2o10b3o4bo7bob2o
3b2obo16bo2bo12bo31bobo3bo3bobo13bo19b2obo9bo4bo42bo10bo3bo13bobo5bo10b
o5bo13bo2bo14bo2bo2bo17bo4bo16bo12bo14b2o3bo3b2o13b3o17b2o17b2o11bo9b
o19b2o8bo2bo2bo14bo3bo2bo8b3o3b3o12bobobo13bo5bo16bo6bo14b3o10b3o36b2o
b2o3bo11bo2bo15bo2bo10b2o7b2o18bo2bo6bo7bo14bo4bo8bo3bobo3bo14bo13b3o
3b3o14b3o6bo13bobo9b2ob2o34b3o2b2ob3o9bo18bo4bo8bo2bo5bo2bo12bo5bo7bo
bo5bobo17b3o6bobo3bo3bobo26bob3ob3obo$4b5o44bo9b3o14bobo7bo14b3o3bo10b
o3bo14b5o18b3o18bo10b3o13bobobo6b2o12bobo17b2ob2o15bo19b3o18b2o8b2ob2o
13bo8bobo14b2o13b3ob2obo14b3o17b3obo16bobo8bo3bo13b2o6b2o13bo3bo13bob
o18b2obo17bo20b4o6b3o2b2o19bo12bo3b2ob2o11bo3bo17bo2bo16bo4bo17bo8bob
o3bo12bo21bo2bo2bo12b3obo15b2ob2o9b2o6b2ob2o16b3o6b2o6bo30b3ob2o2b3o11b
o2bo12b3obo4bo17b5o14b2o10b2o2b2o31bobo7bobo8b3o15bob2o3b2o16bo4bo14b
2o10b2o2bo2bo18b3o7bobobo5bobo10bo18bo6bo13bo20bob2o8bo4bo22bo9bo10b2o
8bo2bo22b2o14b2o14b3o2bobo15bo18bo3bo6bo9b2o10b3o14bo10bo11bob2o15bob
o4bo12bobo19b3o17bobo8bo4bo20b2obo12bo2bo13b2o2bo17b3o16bo3bobo15bo10b
ob3o12b3o5bo15b2ob2o13bobobo15bo3bo9bo7b2ob2o16bo2bo6bo6bo11bo8bo9b3o
bo4bo12bo2bo13bo3b2ob2o15b2o2b2o15bob2o8bo4bo12b2o18bob2o3b2obo10bo18b
o2bo2bo9bo7b4o16bobo6bo6b3o19bo12bo34b3ob2o2b3o$5b2o2bo2bo18b3o7bobob
o5bobo10bo18bo6bo13bo20bob2o8bo4bo22bo9bo10b2o8bo2bo22b2o14b2o14b3o2b
obo15bo18bo3bo6bo9b2o10b3o14bo10bo11bob2o15bobo4bo12bobo19b3o17bobo8b
o4bo20b2obo12bo2bo13b2o2bo17b3o16bo3bobo15bo10bob3o12b3o5bo15b2ob2o13b
obobo15bo3bo9bo7b2ob2o16bo2bo6bo6bo11bo8bo9b3obo4bo12bo2bo13bo3b2ob2o
15b2o2b2o15bob2o8bo4bo12b2o18bob2o3b2obo10bo18bo2bo2bo9bo7b4o16bobo6b
o6b3o19bo12bo34b3ob2o2b3o15bo4bo13bob2o8b5o44bo9b3o14bobo7bo14b3o3bo10b
o3bo14b5o18b3o18bo10b3o13bobobo6b2o12bobo17b2ob2o15bo19b3o18b2o8b2ob2o
13bo8bobo14b2o13b3ob2obo14b3o17b3obo16bobo8bo3bo13b2o6b2o13bo3bo13bob
o18b2obo17bo20b4o6b3o2b2o19bo12bo3b2ob2o11bo3bo17bo2bo16bo4bo17bo8bob
o3bo12bo21bo2bo2bo12b3obo15b2ob2o9b2o6b2ob2o16b3o6b2o6bo30b3ob2o2b3o11b
o2bo12b3obo4bo17b5o14b2o10b2o2b2o31bobo7bobo8b3o15bob2o3b2o$3bob2o3b2o
bo16bo2bo12bo31bobo3bo3bobo13bo19b2obo9bo4bo42bo10bo3bo13bobo5bo10bo5b
o13bo2bo14bo2bo2bo17bo4bo16bo12bo14b2o3bo3b2o13b3o17b2o17b2o11bo9bo19b
2o8bo2bo2bo14bo3bo2bo8b3o3b3o12bobobo13bo5bo16bo6bo14b3o10b3o36b2ob2o
3bo11bo2bo15bo2bo10b2o7b2o18bo2bo6bo7bo14bo4bo8bo3bobo3bo14bo13b3o3b3o
14b3o6bo13bobo9b2ob2o34b3o2b2ob3o9bo18bo4bo8bo2bo5bo2bo12bo5bo7bobo5b
obo17b3o6bobo3bo3bobo26bob3ob3obo13b5o17bo12b4o34bobo5bobo9bob2o22bo6b
o13bo10b3o3bo12bobo20b2ob2o5bobo3bo3bobo26bo4bo4bo13b3o18bob3o8bo3b3o
42bo9b2ob2o20b3o9b2o3b2o13bo3bo37b2o2b3o14b2o11b3o13b2o7b2o13bo2bo17b
2o15b2o11b3o7b3o18b2o8b2o3b2o14bob6o8b3o3b3o14b2o13b3o3b3o15bo6b2o13b
3o13bo14bo5bo14bo4bob3o10b2o16b2ob2o12bo5bo30b2o5b2o13bo4b3o7bob3ob3o
bo27bo3bobo3bo13bo2bo2b2o14b2o11b2ob2o41bo2bo9bobo15b3o2b2o$4bo2bo2b2o
17bo3bo5bobo5bobobo26bo6bo18bo2bo2bo14b2o11b2o2bo12bo21bobo3bo13bo2bo
20bo11b2o18bobobo13bo22bo2bo2bo16bo25bo10bo15bo5bo13bo3bo13bo11b3o22b
o16bo4bo14b4o12bo2bo34b3o20bo7bo28bo16bo5b3o13b3o3b3o11bo17b3o9b2ob2o
7bo13bo15bo6bo12b2o5bo8bo4bob3o28b2ob2o3bo14bobo5bobo13b3o11b2o21b2o13b
ob3ob2obo10b3o15bo3bo8b4o7bo13b3o13b3o6bo16b2obo13bo30b3o2b2ob3o17bob
o16b2o12bo2bo40bo15b2o14bobo3bo6bo3b3o18b2o2bo12b5o20b2ob2o43b2o6bobo
bo34bo2bo10bo15b3o40b2ob2o13b3o2b2o10b2o19bo3bo12b3o21b2o3b2o44b2o6b2o
14b3o3b3o11b2o17b2o13bo21bo16b2o2b3o13bo3bo10b2ob2o3bo30bo2bo19b2o5b2o
15bo11b3o22bo13bo3bobo2bo11b2o16b3o9b2ob2o6b2o12b3o14bo6b2o12bo3bobo7b
3o2b2ob3o28bo4bob3o13bob2o3b2obo13bobo13bo34bobo3bo14b2o16bob3o$8b5o16b
o2bo45bo7bobo21bo15bo27b3o41b3o15b2ob2o12bobo18b3o14bo22bo4bo43bobo8b
o20b3o13b2o26bob3o21b3o15bo3bo15b3o12bo3bo33bob2o19bo6bo3bo42bo22bo3b
2obo12bo28bo4bo19b2ob2o13bo3bobo16b3o9bo2bo2bo32b2ob2o17bo6b3o28bo38b
3ob2ob3o28b3o8b5o20bo2b2o14b2o2b2o17b2o7bobo7bobo28b2o3b2obo19b5o15bo
13bo12b3o21bobobo15b2o20bo14bo19b2obo14bo4bo15b2ob2o5bo11bo27b2o29b3o
13b2o26bo3bo20b3o17b3o16bob2o12b2obo34bobo19b3o2b2o43bob2o27bo2bo13bo
26bobo3bo20b3o15b3obo14bo3bo11b2ob2o33bo3bo17b2o6bo44bo8bo14b3obo34bo
10b2o2b2o19bo2bo14bo4bo18b2o7bob2o3b2obo29bo2bo2bo18b2o2bo2bo15bo12b2o
13bo26bo16bo17b3o$8b4o17b3o5bobobo5bobo29bo30bo42b2ob2o21b2obo35b2o14b
3o18b3o14b3o3bo15bo3bo5b2o38b3o27b2obo40b3o2b2o23bo15b3o19bo12bo2bo36b
2o18bobo3bo4bo39b6obo21b2ob2ob2o36b2o6bo19b2o10bo5bo30b3obo4bo33b2ob2o
18b2o2b2o44b3o4bo18bob2o2b5o38b2o2bo2bo17bo3bo14b2ob2o18b2o9bo38b2o2b
3o16bo4bo45bo2bo59b3o15bo20bo16bo4bo16b3o6bo40bo5bobo20bobo42bo4bo21b
2o17bo20bo13b3o17bo2bo14b2o20bob3o4b3o38bo2bo3bo21bo3bobo38bo6bo19bob
2o8bo6b3o19bo8bo3b2ob2o33bo2bo19bo4bo4b2o39bo4bo21bo2bob2obo36bo6b3o17b
4o10bo4b2ob2o18bo7b3ob2o2b3o31bo4bo17b5o46b3o22bobo8bo27bo$7bo2bo26bo
4bo37bo3bobo16bo3b3o44b2ob2o22bo5b2ob2o26bo58bo17b3o5b2o41b2o2b3o20b2o
3b3o38b2o3b2o20b3o7b3o26bo8b3o3b3o35b2o24bo6bo41bo3bo20b2ob2o4bo36b2o
5b2o30bobo4b3o26bo3bobo3bo34b3o19b2ob2o46bobo3bo19b2ob2obobobo35bob2o
3b2obo19bo10b2o3bo28bobo3bo3bobo32b3obo17bo4bo45bo3bo21b3o4b2ob2o37bo
2bo2bo37bo2b2o18bo6b2o3bo3bobo31bo27b2o3bo39bo2bo2bo21b2o4bo3b2o25b2o
9bo5bo20bo16bo21b3o50b4o21bo2bob3o37bo7bo20b2o8b3o5bo28b3o3b3o35b3o19b
2ob2o46bo5b2o19bo4bobobo35bobo5bobo18b2o10bo5b2o27bob3ob3obo33bo3bo18b
4o46bob2o28bobo2bo$8bo26b2o6bobobo33bo22bo7b3o40b2ob2o21bo4bo5b2o34b3o
72b2o8bo33b2obo23b2o5bo38b2o2b3o31b2o34bo2bo63b3o49bo3bo21b3o4b2o37bo
6b2o19b2o44bo4bob3o36bo24bo47b2o24b5o2b3o36bo2bo2b2o38b2o26bo6bo38b3o
19b2o2bo4bo41bo2bo27bo2b2obo36bo71bo45b2ob2o22bo3b3o39bo4bo26bo2bobob
o34b3o65bo8bo42b3o22b3ob2ob2o37bo6bo20bo10b2o33b2ob2o3bo60b2o48b3o23b
2ob2o3bo37b3o6bo31bo5bo26b3o2b2ob3o35b3o20bo2bo48b2o22b2o5b2o2bo$36b2o
44b3o26bo3bo40b3o27bo3b3obo34bobo69bob2o42bo28bobo3bo38b3obo28bo5bo33b
o3bo70bo43bo30bo2b2o37bo4bo32b2o33bo2bo2bo62b2o5bo43bo26b2o4b2o40b5o65b
o7bobo36bo28b3o41b3o27bob2o2b2o35bo71bobo8bo35b2o27bob3o39bo3bo30b3ob
o33bob2o73bo41bo28b2o4bo37bo3bobo31bo35b2ob2o63bo78bo4bo39b2o2b2o67b2o
3b2obo61bo4b3o41b2o28b2obo3bo$37bo5bobo65bo4bo40bo31bo4bo35b2o70bo2bo
3bo38b2o26bo6bo38b3o33bo36bo2bo70bo4bo66bo6b3o36b2ob2o68bo4bo68b3o70b
3o3b4o37b4o67bo73b2ob2o71b2o4b2o35b3o3bo65b3o44bo26b3o2b2o39b3o28bob4o
bo36b2o69b6obo38bo26b2o6bo37bo73b2ob2o68b3o4bo66bo4bo2bo36b2ob2o68b2o
2b3o67bo2bo71b2o4bo$38bo72bo2bo2bo68bobo4bo37bo74b4o66bo7bo38bo28bo4b
o38b3o70bo5b2o64bobo5bobo36b2o71bo3bo68bob2o69bob2o2bo39bo2bo69bo3bob
o67b2ob2o69b2o4bo42bo68b2o2b3o66b2o3b2o70b2o40b2o73bo3bo66b2o5b2o37b3o
32bo38b3o70bobo3bo65bob2o3b2obo35bo73b3obo68bo3bo68bo5bobo27b2o2bo$39b
2ob2o68bo4bo68bobo117b3o68bo6bo67bo3bo113b3o69b3o6bo37bo27b2o43b3o72b
2o69b5o41bo72bo73b2ob2o68bo118b2obo69b2o2b3o67b4o115bo3bo67bo6b2o65b2o
3bo40bo72b2o70bo2bo2b2o38b2o72b3o70bo2bo69bo3bo29bo4bo$40b2o71bo3bo69b
2o116bo72bo3bobo67b2obo188b2o2b2o70bo115b2o73bo4bo67bo43b3o71b3o70b2o
bo114bo73b3obo68bob2o115bo72bo4bo68b3o116bo74b5o66b2o44bo72b3o70bo32b
o4bo$41bo72b3o70bo2bo115bo72bo73bo191b2ob2o68bobo190bo4bo67bo118bo72b
2o116b2o72b3o70bo191b2ob2o68b2o192b4o69bo190b3o3bo29b5o$188b2o190b3o71b
o190bo265bo2b2o261bo191bo72b2o190b2o263bo2bo266bo29bobo$8bobo635b2o987b
o264bo295b5o$9b2o2bo2185bo4bo$9bo2bo2186bo4bo$5bo4b3o2176b2o2bo5bo2b2o
$6b2o2180bo4bo$5b2obo2179bo4bo$8bo2183b5o$7b2o2182bobo$6bo2181b5o$2191b
o4bo$2191bo4bo$20bo2165bo4bo2b2o$19b3o2163b3o$18b2ob2o2161b2ob2o$17b2o
b2o2161b2ob2o$16b2ob2o2161b2ob2o$17b3o2163b3o$9b2o2bo4bo2165bo$8bo4bo
$8bo4bo$12b5o2181bo$11bobo2182b2o$8b5o2183bo$11bo4bo2179bob2o$11bo4bo
2180b2o$b2o2bo5bo2b2o2176b3o4bo$o4bo2186bo2bo$o4bo2185bo2b2o$4b5o295b
o264bo987b2o635bobo$3bobo29bo266bo2bo263b2o190b2o72bo191bo261b2o2bo265b
o190bo71b3o190b2o$5o29bo3b3o190bo69b4o192b2o68b2ob2o191bo70b3o72b2o116b
2o72bo118bo67bo4bo190bobo68b2ob2o191bo73bo72bo115bo2bo70b3o72bo$3bo4b
o32bo70b3o72bo44b2o66b5o74bo116b3o68bo4bo72bo115b2obo68bob3o73bo114bo
b2o70b3o71b3o43bo67bo4bo73b2o115bo70b2o2b2o188bob2o67bobo3bo72bo116b2o
69bo3bo71b2o$3bo4bo29bo3bo69bo2bo70b3o72b2o38b2o2bo2bo70b2o72bo40bo3b
2o65b2o6bo67bo3bo115b4o67b3o2b2o69bob2o118bo68b2ob2o73bo72bo41b5o69b2o
72b3o43b2o27bo37bo6b3o69b3o113bo3bo67bo6bo68b3o117bobo68bo4bo68b2ob2o
$3bo2b2o27bobo5bo68bo3bo68bob3o73bo35bob2o3b2obo65bo3bobo70b3o38bo32b
3o37b2o5b2o66bo3bo73b2o40b2o70b2o3b2o66b3o2b2o68bo42bo4b2o69b2ob2o67b
obo3bo69bo2bo39bo2b2obo69b2obo68bo3bo71b2o36bobo5bobo64b2o5bo70b3o38b
o4bo28bo38bo7bo66b4o74bo37bo4bobo68bo2bo2bo72bo$35bo4b2o71bo2bo67b3o2b
2o68b2ob2o36bo2bo4bo66bo4b3o68b2ob2o73bo37bo6b2o26bo38bob6o69b2o36bob
4obo28b3o39b2o2b3o26bo44b3o65bo3b3o35b2o4b2o71b2ob2o73bo67b4o37b4o3b3o
70b3o68bo4bo68b2ob2o36b3o6bo66bo4bo70bo2bo36bo33b3o38bo6bo26b2o38bo3b
o2bo70b2o35bo4bo31bo40bo4bo65bobo5bo$35bo3bob2o28b2o41b3o4bo61bob2o3b
2o67b2o2b2o39bo4bo78bo63b2ob2o35bo31bobo3bo37bo4b2o28bo41bo73b2obo33b
ob3o30bo3bo39b3obo27b2o35bo8bobo71bo35b2o2b2obo27b3o41b3o28bo36bobo7b
o65b5o40b2o4b2o26bo43bo5b2o62bo2bo2bo33b2o32bo4bo37b2o2bo30bo43bo70bo
3bo33bo5bo28bob3o38bo3bobo28bo42b2obo69bobo34bob3o3bo27b3o40bo3bo26b3o
44b2o$36bo2b2o5b2o22b2o48bo2bo20b3o35b3ob2o2b3o26bo5bo31bo6b3o37bo3b2o
b2o23b3o48b2o60bo3b2ob2o33b2o10bo20bo6bo37b2ob2ob3o22b3o42bo8bo65b3o34b
obobo2bo26bo4bo39b3o3bo22b2ob2o45bo71bo36bob2o2bo27bo2bo41bo4bo2b2o19b
3o38bo6bo26b2o38b2o2bo2bo36b3o2b5o24b2o47bo24bo36b3obo4bo44b2o19b2o6b
o37b2o4b3o21bo3bo49b3o63bo2bo34b2o31b3o2b2o38bo5b2o23bob2o33bo8b2o72b
3o34b2o5bo4bo21b2ob2o40b3o7bo22bo33bobobo6b2o26bo$37bo2bobo28b2obo46b
4o18bo3bo33bob3ob3obo27b2o5bo10b2o18bobo5bobo35bobobo4bo19b2o5bo46b2o
b2o19b3o35b3o3b3o28bo5b3o8b2o20bo7bo37b3obo2bo21b4o50b3o21bo16bo20bo5b
o9b2o25b2o3bo4b2o21bo2bo2bo39bo3b2o27bo31bobo3bo3b2o6bo18b2o2bo37bo2b
o2bo37b2ob2o4b3o21bo3bo45bo4bo17bob3o32bobo3bo3bobo28bo3b2o10bo19bob2o
3b2obo35bobobob2ob2o19bo3bobo46b2ob2o19b3o34bo3bobo3bo26b3o4bobo30b2o
5b2o36bo4b2ob2o20bo3bo41bo6bo24b2o35b3o3b3o8bo26b3o7b3o20b2o3b2o38b3o
3b2o20b3o2b2o41b2o5b3o17bo58bo26b2ob2o5bo22b2ob2o44b3o3bo16bobo3bo37b
o4bo26bo2bo$10bo27bo8bobo22b3o46b5o17bo4bo31b3o2b2ob3o7bo18b2ob2o4bo10b
4o17b3o6bo36bob2obo2bo21bo4bo39b2o4bo4bo19bo2bo33b2ob2o3bo8bo19b3o6bo
8b2obo19bo6bo38bobo3bo21bo3bo2bo38b3o4b3obo20b2o14bo2bo17b3o13bo20bo17b
2o21bo4bo42bobo20bobo5bo40bo6b3o16bo4bo16bo20bo15b3o59bo2bo45bo4bo16b
3o2b2o38bo9b2o18b2ob2o14bo3bo17bo2bo2b2o38b5o2b2obo18bo4b3o44b2o2b2o18b
2ob2o33bo4bob3o30bo5bo10b2o19bo6b2o36b2ob2ob2o21bob6o39bo4bo3bobo18b2o
36bo2bo12bo19b3o15bo23b2o2b3o40bob2o27b3o38b2o5bo3bo15bo3b3o14b3o18b3o
14b2o35bob2o21b2ob2o42bo30bo29bobo5bobobo5b3o17b4o$9b3o17bo16bo26bo13b
2o12bo15bo2bo2b2o18bo2bo2bo29bob2o3b2obo7b2o18bo4bo14bo2bo19b2o2b2o10b
o34bob3o14bo8bo44bo6b2o17bo3bo33b2ob2o11bo3bo14bob3o15b3o20bo3bobo26b
o13bo2bo27b2obo43b2o2b3o19bobo34bob2o12b2obo16b3o17b3o20bo3bo26b2o13b
3o29b2o27bo11bo5b2ob2o15bo4bo14bob2o19bo14bo20b2o15bobobo21b3o12bo13b
o15b5o19bob2o3b2o28bobo7bobo7b2o17b2o2b2o14b2o2bo20b5o8b3o28b3ob2ob3o
38bo28b3o6bo17b2ob2o32bo2bo2bo9b3o16bobo3bo13b2ob2o19bo4bo28bo12bob2o
3bo22bo42bo3bo6bo19b2obo33bo3bo12b3o15bo3bo15b3o21b3obo26b2o13b3o20bo
8bobo43bo4bo22bo14b3o18bobo12b2ob2o15b3o41b3o27bo15bo21bobo7bo45bo2bo
16b5o$8b3obo16b2o14bo3bobo34bo13bobo13bob2o3b2obo13b3obo4bo28b3ob2o2b
3o7bobo3bo12b2o6bo14b3o12b2o6b2ob2o9b3o16b2o11bo2bobo3bo13bo22b3o11bo
15b2o5b2o19bo2bo30bo3b2ob2o10bo3bo13b3o2b2o16bo21bo13b2o17b2o11b3o3b3o
14b2o6b2o44b2o3b2o21b3o12bo3bo19b2o10b2o2b3o13b2ob2o40b3o15bo10bo2bo34b
obobo6b2o43b2ob2o20b5o12bo2b2o18b3o3bo6bo3bobo14b2o15bo40bo2bo12b2o16b
obo17b3ob2o2b3o30bo13bob2o16bo6b3o13b3o13bo7b4o8bo3bo15b3o10bob2ob3ob
o13b2o21b2o11b3o13bobo5bobo14bo3b2ob2o28b3obo4bo8bo5b2o12bo6bo15bo13b
o7b2ob2o9b3o17bo11b3o3b3o13b3o5bo16bo28bo7bo20b3o34bo2bo12b4o14bo4bo16b
o22b3o11bo13bo3bo13bo5bo15bo10bo25bo16bo2bo2bo22bo13bobobo18b2o11bo20b
o2bo13bo3bobo21bo12bo2b2o11b2o14bo2bo2bo18bo6bo26bobobo5bobo5bo3bo17b
2o2bo2bo$7b2o2b3o15bobo9bo2bo41b2ob2o11b2o14b2o2bo2bo13bo3bobo3bo27bo
b3ob3obo7b3o4bo13b2o5b2o30bo5bo12b2ob2o16b2o10b3obo4bo14bo5bo14bo13b3o
13b2o6bo15b3o3b3o13b2o14b3o3b3o8b6obo14b2o3b2o8b2o18b3o7b3o11b2o15b2o
17bo2bo13b2o7b2o13b3o11b2o14b3o2b2o37bo3bo13b2o3b2o9b3o20b2ob2o9bo42b
3o3bo8b3obo18b3o13bo4bo4bo26bobo3bo3bobo5b2ob2o20bobo12bo3b3o10bo13bo
6bo22b2obo9bobo5bobo34b4o12bo17b5o13bob3ob3obo26bobo3bo3bobo6b3o17bob
o5bobo7bo5bo12bo2bo5bo2bo8bo4bo18bo9b3ob2o2b3o34b2ob2o9bobo13bo6b3o14b
3o3b3o13bo14bo3bobo3bo8bo4bo14bo7bo6bo2bo18b2o7b2o10bo2bo15bo2bo11bo3b
2ob2o36b3o10b3o14bo6bo16bo5bo13bobobo12b3o3b3o8bo2bo3bo14bo2bo2bo8b2o
19bo9bo11b2o17b2o17b3o13b2o3bo3b2o14bo12bo16bo4bo17bo2bo2bo14bo2bo13b
o5bo10bo5bobo13bo3bo10bo42bo4bo9bob2o19bo13bobo3bo3bobo31bo12bo2bo16b
ob2o3b2obo$6b2o3b2obo15b3o8bobo7bobo31b2o2b2o10b2o14b5o17bo4bob3o12bo
2bo11b3o2b2ob3o30bo6b2o6b3o16b2ob2o6b2o9b2ob2o15bob3o12bo2bo2bo21bo12b
o3bobo8bo17bo4bo16bo2bo17bo3bo11b2ob2o3bo12bo19b2o2b3o6b4o20bo17bob2o
18bobo13bo3bo13b2o6b2o13bo3bo8bobo16bob3o17b3o14bob2ob3o13b2o14bobo8b
o13b2ob2o8b2o18b3o19bo15b2ob2o17bobo12b2o6bobobo13b3o10bo18b3o18b5o14b
o3bo10bo3b3o14bo7bobo14b3o9bo44b5o8b2obo13bo4bo15b3o2b2ob3o34bo12bo19b
3o6bo6bobo16b4o7bo9bo2bo2bo18bo10bob2o3b2obo18b2o12bo4bo8b2obo15b2o2b
2o15b2ob2o3bo13bo2bo12bo4bob3o9bo8bo11bo6bo6bo2bo16b2ob2o7bo9bo3bo15b
obobo13b2ob2o15bo5b3o12b3obo10bo15bobo3bo16b3o17bo2b2o13bo2bo12bob2o20b
o4bo8bobo17b3o19bobo12bo4bobo15b2obo11bo10bo14b3o10b2o9bo6bo3bo18bo15b
obo2b3o14b2o14b2o22bo2bo8b2o10bo9bo22bo4bo8b2obo20bo13bo6bo18bo10bobo
5bobobo7b3o18bo2bo2b2o$5b3o2b2ob3o34bo12bo19b3o6bo6bobo16b4o7bo9bo2bo
2bo18bo10bob2o3b2obo18b2o12bo4bo8b2obo15b2o2b2o15b2ob2o3bo13bo2bo12bo
4bob3o9bo8bo11bo6bo6bo2bo16b2ob2o7bo9bo3bo15bobobo13b2ob2o15bo5b3o12b
3obo10bo15bobo3bo16b3o17bo2b2o13bo2bo12bob2o20bo4bo8bobo17b3o19bobo12b
o4bobo15b2obo11bo10bo14b3o10b2o9bo6bo3bo18bo15bobo2b3o14b2o14b2o22bo2b
o8b2o10bo9bo22bo4bo8b2obo20bo13bo6bo18bo10bobo5bobobo7b3o18bo2bo2b2o10b
2o14bo4bo16b2o3b2obo15b3o8bobo7bobo31b2o2b2o10b2o14b5o17bo4bob3o12bo2b
o11b3o2b2ob3o30bo6b2o6b3o16b2ob2o6b2o9b2ob2o15bob3o12bo2bo2bo21bo12bo
3bobo8bo17bo4bo16bo2bo17bo3bo11b2ob2o3bo12bo19b2o2b3o6b4o20bo17bob2o18b
obo13bo3bo13b2o6b2o13bo3bo8bobo16bob3o17b3o14bob2ob3o13b2o14bobo8bo13b
2ob2o8b2o18b3o19bo15b2ob2o17bobo12b2o6bobobo13b3o10bo18b3o18b5o14bo3b
o10bo3b3o14bo7bobo14b3o9bo44b5o$6bob3ob3obo26bobo3bo3bobo6b3o17bobo5b
obo7bo5bo12bo2bo5bo2bo8bo4bo18bo9b3ob2o2b3o34b2ob2o9bobo13bo6b3o14b3o
3b3o13bo14bo3bobo3bo8bo4bo14bo7bo6bo2bo18b2o7b2o10bo2bo15bo2bo11bo3b2o
b2o36b3o10b3o14bo6bo16bo5bo13bobobo12b3o3b3o8bo2bo3bo14bo2bo2bo8b2o19b
o9bo11b2o17b2o17b3o13b2o3bo3b2o14bo12bo16bo4bo17bo2bo2bo14bo2bo13bo5b
o10bo5bobo13bo3bo10bo42bo4bo9bob2o19bo13bobo3bo3bobo31bo12bo2bo16bob2o
3b2obo7bo4b3o10b2o2bo5bo2b2o7b2o2b3o15bobo9bo2bo41b2ob2o11b2o14b2o2bo
2bo13bo3bobo3bo27bob3ob3obo7b3o4bo13b2o5b2o30bo5bo12b2ob2o16b2o10b3ob
o4bo14bo5bo14bo13b3o13b2o6bo15b3o3b3o13b2o14b3o3b3o8b6obo14b2o3b2o8b2o
18b3o7b3o11b2o15b2o17bo2bo13b2o7b2o13b3o11b2o14b3o2b2o37bo3bo13b2o3b2o
9b3o20b2ob2o9bo42b3o3bo8b3obo18b3o13bo4bo4bo26bobo3bo3bobo5b2ob2o20bo
bo12bo3b3o10bo13bo6bo22b2obo9bobo5bobo34b4o$7b3ob2o2b3o30bo13bob2o16b
o6b3o13b3o13bo7b4o8bo3bo15b3o10bob2ob3obo13b2o21b2o11b3o13bobo5bobo14b
o3b2ob2o28b3obo4bo8bo5b2o12bo6bo15bo13bo7b2ob2o9b3o17bo11b3o3b3o13b3o
5bo16bo28bo7bo20b3o34bo2bo12b4o14bo4bo16bo22b3o11bo13bo3bo13bo5bo15bo
10bo25bo16bo2bo2bo22bo13bobobo18b2o11bo20bo2bo13bo3bobo21bo12bo2b2o11b
2o14bo2bo2bo18bo6bo26bobobo5bobo5bo3bo17b2o2bo2bo12bo2bo20bo4bo7b3obo
16b2o14bo3bobo34bo13bobo13bob2o3b2obo13b3obo4bo28b3ob2o2b3o7bobo3bo12b
2o6bo14b3o12b2o6b2ob2o9b3o16b2o11bo2bobo3bo13bo22b3o11bo15b2o5b2o19bo
2bo30bo3b2ob2o10bo3bo13b3o2b2o16bo21bo13b2o17b2o11b3o3b3o14b2o6b2o44b
2o3b2o21b3o12bo3bo19b2o10b2o2b3o13b2ob2o40b3o15bo10bo2bo34bobobo6b2o43b
2ob2o20b5o12bo2b2o18b3o3bo6bo3bobo14b2o15bo40bo2bo$8bob2o3b2o28bobo7b
obo7b2o17b2o2b2o14b2o2bo20b5o8b3o28b3ob2ob3o38bo28b3o6bo17b2ob2o32bo2b
o2bo9b3o16bobo3bo13b2ob2o19bo4bo28bo12bob2o3bo22bo42bo3bo6bo19b2obo33b
o3bo12b3o15bo3bo15b3o21b3obo26b2o13b3o20bo8bobo43bo4bo22bo14b3o18bobo
12b2ob2o15b3o41b3o27bo15bo21bobo7bo45bo2bo16b5o16b2o2bo19bo4bo8b3o17b
o16bo26bo13b2o12bo15bo2bo2b2o18bo2bo2bo29bob2o3b2obo7b2o18bo4bo14bo2b
o19b2o2b2o10bo34bob3o14bo8bo44bo6b2o17bo3bo33b2ob2o11bo3bo14bob3o15b3o
20bo3bobo26bo13bo2bo27b2obo43b2o2b3o19bobo34bob2o12b2obo16b3o17b3o20b
o3bo26b2o13b3o29b2o27bo11bo5b2ob2o15bo4bo14bob2o19bo14bo20b2o15bobobo
21b3o12bo$9b3o2b2o38bo9b2o18b2ob2o14bo3bo17bo2bo2b2o38b5o2b2obo18bo4b
3o44b2o2b2o18b2ob2o33bo4bob3o30bo5bo10b2o19bo6b2o36b2ob2ob2o21bob6o39b
o4bo3bobo18b2o36bo2bo12bo19b3o15bo23b2o2b3o40bob2o27b3o38b2o5bo3bo15b
o3b3o14b3o18b3o14b2o35bob2o21b2ob2o42bo30bo29bobo5bobobo5b3o17b4o15bo
bo19b5o13bo27bo8bobo22b3o46b5o17bo4bo31b3o2b2ob3o7bo18b2ob2o4bo10b4o17b
3o6bo36bob2obo2bo21bo4bo39b2o4bo4bo19bo2bo33b2ob2o3bo8bo19b3o6bo8b2ob
o19bo6bo38bobo3bo21bo3bo2bo38b3o4b3obo20b2o14bo2bo17b3o13bo20bo17b2o21b
o4bo42bobo20bobo5bo40bo6b3o16bo4bo16bo20bo15b3o59bo2bo$10bob3o32bobo3b
o3bobo28bo3b2o10bo19bob2o3b2obo35bobobob2ob2o19bo3bobo46b2ob2o19b3o34b
o3bobo3bo26b3o4bobo30b2o5b2o36bo4b2ob2o20bo3bo41bo6bo24b2o35b3o3b3o8b
o26b3o7b3o20b2o3b2o38b3o3b2o20b3o2b2o41b2o5b3o17bo58bo26b2ob2o5bo22b2o
b2o44b3o3bo16bobo3bo37bo4bo26bo2bo39bobo39bo2bobo28b2obo46b4o18bo3bo33b
ob3ob3obo27b2o5bo10b2o18bobo5bobo35bobobo4bo19b2o5bo46b2ob2o19b3o35b3o
3b3o28bo5b3o8b2o20bo7bo37b3obo2bo21b4o50b3o21bo16bo20bo5bo9b2o25b2o3b
o4b2o21bo2bo2bo39bo3b2o27bo31bobo3bo3b2o6bo18b2o2bo37bo2bo2bo37b2ob2o
4b3o21bo3bo$11b3o38bo6bo26b2o38b2o2bo2bo36b3o2b5o24b2o47bo24bo36b3obo
4bo44b2o19b2o6bo37b2o4b3o21bo3bo49b3o63bo2bo34b2o31b3o2b2o38bo5b2o23b
ob2o33bo8b2o72b3o34b2o5bo4bo21b2ob2o40b3o7bo22bo33bobobo6b2o26bo41b5o
35bo2b2o5b2o22b2o48bo2bo20b3o35b3ob2o2b3o26bo5bo31bo6b3o37bo3b2ob2o23b
3o48b2o60bo3b2ob2o33b2o10bo20bo6bo37b2ob2ob3o22b3o42bo8bo65b3o34bobob
o2bo26bo4bo39b3o3bo22b2ob2o45bo71bo36bob2o2bo27bo2bo$12bo36bobo7bo65b
5o40b2o4b2o26bo43bo5b2o62bo2bo2bo33b2o32bo4bo37b2o2bo30bo43bo70bo3bo33b
o5bo28bob3o38bo3bobo28bo42b2obo69bobo34bob3o3bo27b3o40bo3bo26b3o44b2o
65bo4bo37bo3bob2o28b2o41b3o4bo61bob2o3b2o67b2o2b2o39bo4bo78bo63b2ob2o
35bo31bobo3bo37bo4b2o28bo41bo73b2obo33bob3o30bo3bo39b3obo27b2o35bo8bo
bo71bo35b2o2b2obo27b3o$58bo67b4o37b4o3b3o70b3o68bo4bo68b2ob2o36b3o6bo
66bo4bo70bo2bo36bo33b3o38bo6bo26b2o38bo3bo2bo70b2o35bo4bo31bo40bo4bo65b
obo5bo66bo4bo37bo4b2o71bo2bo67b3o2b2o68b2ob2o36bo2bo4bo66bo4b3o68b2ob
2o73bo37bo6b2o26bo38bob6o69b2o36bob4obo28b3o39b2o2b3o26bo44b3o65bo3b3o
35b2o4b2o$51bobo3bo69bo2bo39bo2b2obo69b2obo68bo3bo71b2o36bobo5bobo64b
2o5bo70b3o38bo4bo28bo38bo7bo66b4o74bo37bo4bobo68bo2bo2bo72bo68b2o2bo37b
obo5bo68bo3bo68bob3o73bo35bob2o3b2obo65bo3bobo70b3o38bo32b3o37b2o5b2o
66bo3bo73b2o40b2o70b2o3b2o66b3o2b2o68bo42bo4b2o$56bo72bo41b5o69b2o72b
3o43b2o27bo37bo6b3o69b3o113bo3bo67bo6bo68b3o117bobo68bo4bo68b2ob2o114b
o3bo69bo2bo70b3o72b2o38b2o2bo2bo70b2o72bo40bo3b2o65b2o6bo67bo3bo115b4o
67b3o2b2o69bob2o118bo$53b3o43bo67bo4bo73b2o115bo70b2o2b2o188bob2o67bo
bo3bo72bo116b2o69bo3bo71b2o118bo70b3o72bo44b2o66b5o74bo116b3o68bo4bo72b
o115b2obo68bob3o73bo114bob2o$99bo67bo4bo190bobo68b2ob2o191bo73bo72bo115b
o2bo70b3o72bo112bo3b3o190bo69b4o192b2o68b2ob2o191bo70b3o72b2o116b2o$168b
2o2bo265bo190bo71b3o190b2o260bo266bo2bo263b2o190b2o72bo191bo$436b2o987b
o264bo!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis

User avatar
B468S02357
Posts: 361
Joined: December 30th, 2025, 9:23 pm
Location: Partying with satan in hell (he brought some takis so i love him)

Re: HighLife

Post by B468S02357 » February 12th, 2026, 10:26 pm

Naszvadi wrote:
September 5th, 2017, 2:24 pm


The following "improved" version is sligthly smaller, works in the same totalistic rules:

Code: Select all

#C [[ STEP 48 STOP 1440 ]]
x = 240, y = 269, rule = B36/S23
2o$2o34$46bo$45b2o$44bobo3bo$43b3o4bo4$45b2o20$185bo$185b3o$76b2o110bo
$187b2o3$72bo4b3o$72bo3bobo$76b2o$76bo11$206bo$94bo110b2o$93b2o110bobo
$92bobo3bo$91b3o4bo$142bo$142b3o$145bo$93b2o49b2o6$108b2o3$236bo$104bo
4b3o124bobo$104bo3bobo120b2o2bobo$108b2o121b2o4bo$108bo3$230bo$163b2o
64b2o$162bo2bo63bobo$163b3o72b2o$238b2o5$126bo$125b2o$124bobo3bo$123b
3o4bo2$189bo$189bobo$125b2o57b2o2bobo$184b2o4bo6$186bo3b2o$145b2o38bob
o4bo$137b2o6b2o38bo6bo$135b2o2bo46bo4bo$135bo2bo47b2o$146bo$147b2o$
139bo5b2o$136bo2bo7bo$137b2o32b2o4$169b3o4bo$170bobo3bo$171b2o$172bo
37$155bo$155b2o$155bobo$156b3o2$150b3o$151bobo$122bo29b2o$122b2o29bo$
118bo3bobo$118bo4b3o4$122b2o2$139bo$139b2o$139bobo$140b3o2$134b3o$135b
obo$136b2o$137bo24$107bo$107b2o$107bobo$108b3o$75b2o$102b3o$103bobo$
104b2o$73b3o4bo24bo$74bobo3bo$75b2o$76bo5$101b2o$101b2o20$54b2o$54b2o!
Removing the eating blocks, i made this:

Code: Select all

x = 240, y = 242, rule = B36/S23
2o$2o34$46bo$45b2o$44bobo3bo$43b3o4bo4$45b2o20$185bo$185b3o$76b2o110b
o$187b2o3$72bo4b3o$72bo3bobo$76b2o$76bo11$206bo$94bo110b2o$93b2o110bo
bo$92bobo3bo$91b3o4bo$142bo$142b3o$145bo$93b2o49b2o6$108b2o3$236bo$104b
o4b3o124bobo$104bo3bobo120b2o2bobo$108b2o121b2o4bo$108bo3$230bo$163b2o
64b2o$162bo2bo63bobo$163b3o72b2o$238b2o5$126bo$125b2o$124bobo3bo$123b
3o4bo2$189bo$189bobo$125b2o57b2o2bobo$184b2o4bo6$186bo3b2o$145b2o38bo
bo4bo$137b2o6b2o38bo6bo$135b2o2bo46bo4bo$135bo2bo47b2o$146bo$147b2o$139b
o5b2o$136bo2bo7bo$137b2o32b2o4$169b3o4bo$170bobo3bo$171b2o$172bo37$155b
o$155b2o$155bobo$156b3o2$150b3o$151bobo$122bo29b2o$122b2o29bo$118bo3b
obo$118bo4b3o4$122b2o2$139bo$139b2o$139bobo$140b3o2$134b3o$135bobo$136b
2o$137bo24$107bo$107b2o$107bobo$108b3o$75b2o$102b3o$103bobo$104b2o$73b
3o4bo24bo$74bobo3bo$75b2o$76bo!
Is there a name for something like this? A reader?
I was born on march 23 (3/23). I was destined to be here, and here i am.

Code: Select all

#C [[ ZOOM 4 THEME MONO GPS 30 WIDTH 937 HEIGHT 600 RANDOMIZE ]]
x = 64, y = 64, rule = R5,C28,S12-19,25-33,55,113-120,B12,29-43,Nm
b!
I'm a big fan of engineered spaceships.

WhiteHawk
Posts: 1198
Joined: July 10th, 2024, 5:34 pm

Re: HighLife

Post by WhiteHawk » February 13th, 2026, 2:01 am

I was looking through the weird census on Catagolue, and came across a new period offset for replicator-based oscillators that is not 48n or p59(n?) - this one is p120

Code: Select all

x = 78, y = 78, rule = B36/S23
21b2o32b2o$20b2o34b2o$21b2obo28bob2o$22b3o28b3o$23bo30bo4$13bo50bo$12b
3o48b3o$12bob2o46b2obo$15b2o44b2o$9b2o3b2o46b2o3b2o$8b2o58b2o$9b2obo52b
ob2o$10b3o52b3o$11bo54bo4$bo74bo$3o72b3o$ob2o70b2obo$3b2o68b2o$2b2o70b
2o29$2b2o70b2o$3b2o68b2o$ob2o70b2obo$3o72b3o$bo74bo4$11bo54bo$10b3o52b
3o$9b2obo52bob2o$8b2o58b2o$9b2o3b2o46b2o3b2o$15b2o44b2o$12bob2o46b2ob
o$12b3o48b3o$13bo50bo4$23bo30bo$22b3o28b3o$21b2obo28bob2o$20b2o34b2o$
21b2o32b2o!
Zodduniverse wrote:
September 19th, 2024, 4:18 pm
I don't think I ever posted this here

P24 180 degree reflector using the P24 shuttle and the G-Pi catalyst:
Oof, I think it's color-changing, so no usefulness for lower-population loops. Might have some other use if this rule gets more engineering eventually.

EDIT: Kind of pointless p48 oscillators

Code: Select all

x = 40, y = 44, rule = B36/S23
21bo$19b3o$18bo$18b2o3$15b3o$15bobo$15b3o2$15b3o$15b3o$16bo3$35b2o$2o
33bo$bo31bobo$bobo23bo5b2o$2b2o3bo2bo15bob2o$7bo3bo13bo3bo$6bobo2bo5b
o8bob2o$7bo3bo6b2o7bo$7bo2bo6b2o3$38b2o$23bo15bo$24b2o10b3o$23b2o11bo
2$32b2o$31bo2bob2o$31bo2bob2o$32b2o2$36bo$19b2o15b3o$18bob2o17bo$19b2o
17b2o$13b2o14b2o$12bobo14bobo$12bo18bo$11b2o18b2o!

Code: Select all

x = 67, y = 66, rule = B36/S23
21bo$19b3o$18bo$18b2o3$15b3o$15bobo$15b3o2$15b3o$15b3o$16bo3$35b2o$2o
33bo$bo31bobo$bobo23bo5b2o$2b2o3bo2bo15bob2o$7bo3bo13bo3bo$6bobo2bo5b
o8bob2o$7bo3bo6b2o7bo6b2o18b2o$7bo2bo6b2o16bo18bo$35bobo14bobo$36b2o14b
2o$46b2o$23bo21b2obo$24b2o20b2o$23b2o2$26b2o5b2o$26bobo3bo2bo$26bo5bo
2bo$33b2o2$42b2o$19b2o3bo16b2o$18bob2o2bo18bo$19b2o$13b2o14b2o$12bobo
14bobo$12bo18bo16b2o6bo2bo$11b2o18b2o6bo7b2o6bo3bo$37b2obo8bo5bo2bobo
$37bo3bo13bo3bo$37b2obo15bo2bo3b2o$32b2o5bo23bobo$31bobo31bo$31bo33b2o
$30b2o3$50bo$49b3o$49b3o2$49b3o$49bobo$49b3o3$47b2o$48bo$45b3o$45bo!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis

User avatar
FWKnightship
Posts: 1699
Joined: June 23rd, 2019, 3:10 am
Location: Hey,wait!! Where am I!? Help! Somebody help!I'm lost!!

Re: HighLife

Post by FWKnightship » March 6th, 2026, 6:24 am

C/4o works in both Life and HighLife, found by LLSSS:

Code: Select all

x = 16, y = 18, rule = B36/S23
7bo$7bo$6bobo2$9bo4bo$5b4obo3bo$7b2obo2bobo$5bo3bo$13bobo$3b2o9b2o$4b
2o5b2o$6bo4b2o$2bo2b3o2bobo$6b2obo$b2obo3bo$bo2b2ob2o$4b2obo2bo$2o6bo!
Not sure whether it is already known.
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.

WhiteHawk
Posts: 1198
Joined: July 10th, 2024, 5:34 pm

Re: HighLife

Post by WhiteHawk » March 6th, 2026, 11:35 am

FWKnightship wrote:
March 6th, 2026, 6:24 am
C/4o works in both Life and HighLife, found by LLSSS:

Code: Select all

x = 16, y = 18, rule = B36/S23
7bo$7bo$6bobo2$9bo4bo$5b4obo3bo$7b2obo2bobo$5bo3bo$13bobo$3b2o9b2o$4b
2o5b2o$6bo4b2o$2bo2b3o2bobo$6b2obo$b2obo3bo$bo2b2ob2o$4b2obo2bo$2o6bo!
Not sure whether it is already known.
I do think that's new! Awesome!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis

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