Life-like p1 photon project - ConwayLife.com

Life-like p1 photon project

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Sokwe: Moderator; Posts: 3367; Joined: July 9th, 2009, 2:44 pm

Life-like p1 photon project

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Post by Sokwe » October 5th, 2024, 7:10 am

I've been trying to determine which rules support period-1 photons using LLSSS.

Edit (16 Nov. 2024): the latest update is here.

I quickly found that no B23 rules allow p1 photons. I checked about half of the B2 rules so far (those without S0), and was able to prove (I think) that the vast majority that don't already have a p1 photon cannot in fact have such a photon. There were 53 rules in which I was unable to either find a p1 photon or prove that none exist. I did manage to find on new p1 photon that works in two rules:

Code: Select all

x = 190, y = 62, rule = B24578/S1346
35b2o28b2o56b2o28b2o$34bo2bo26bo2bo54bo2bo26bo2bo$11b2o5b2o15b2o28b2o
56b2o28b2o15b2o5b2o$10bo2bo3bo2bo12bo4bo3b2o14b2o3bo4bo52bo4bo3b2o14b
2o3bo4bo12bo2bo3bo2bo$11b2o5b2o12bob2o2bob3o3b2o6b2o3b3obo2b2obo50bob
2o2bob3o3b2o6b2o3b3obo2b2obo12b2o5b2o$11b2o3bo4bo5b2o2bo4bo2b5obo2bo4b
o2bob5o2bo4bo2b2o40b2o2bo4bo2b5obo2bo4bo2bob5o2bo4bo2b2o5bo4bo3b2o$10b
5obo2b2obo3bo2bob2o2b2o2bo3bo2b2o6b2o2bo3bo2b2o2b2obo2bo38bo2bob2o2b2o
2bo3bo2b2o6b2o2bo3bo2b2o2b2obo2bo3bob2o2bob5o$12b4o2bo4bo3b2o9b2obob2o
4bo2bo4b2obob2o9b2o40b2o9b2obob2o4bo2bo4b2obob2o9b2o3bo4bo2b4o$11bo3bo
2b2o2b2obo4b7o9b10o9b7o4bo17b2o17bo4b7o9b10o9b7o4bob2o2b2o2bo3bo$12b2o
b2o10b3o7b8o2b8o2b8o7b3o18bo2bo18b3o7b8o2b8o2b8o7b3o10b2ob2o$12bo5b9o
18b2o8b2o18b4o13bo4bo13b4o18b2o8b2o18b9o5bo$12b2o2b2o12bo5bo28bo5bo7bo
13b4o13bo7bo5bo28bo5bo12b2o2b2o$7b2o3b2obo11bo16bo2bo6bo2bo16bo5bo6b2o
2bo6bo2b2o6bo5bo16bo2bo6bo2bo16bo11bob2o3b2o$6bo2bo2bobo3bo58b3o6bo2bo
bo2b2o2bobo2bo6b3o58bo3bobo2bo2bo$7b2o3bobo63b2o5bo4bo2bo2bo2bo4bo5b2o
63bobo3b2o$7b2o3b3o2bobo59bo3b3o4b3o4b3o4b3o3bo59bobo2b3o3b2o$6b5o3b2o
bo42b2o19b3ob2o3bobo4bobo3b2ob3o19b2o42bob2o3b5o$2b2o4b3o2bob2o24b2o
16bo2bo18b4ob3o3bo4bo3b3ob4o18bo2bo16b2o24b2obo2b3o4b2o$bo2bob3obo3bob
o5b2o16bo2bo16b2o19bob7obo2b2o2bob7obo19b2o16bo2bo16b2o5bobo3bob3obo2b
o$2b2o2b5o3bobo4bo2bo16b2o15bo4bo3b2o12bo2b2o3bo2b2o2b2o2bo3b2o2bo12b
2o3bo4bo15b2o16bo2bo4bobo3b5o2b2o$o4bobo2bo3b3o5b2o15bo4bo3b2o7bob2o2b
ob3o3b2o6b2o4b3ob2o8b2ob3o4b2o6b2o3b3obo2b2obo7b2o3bo4bo15b2o5b3o3bo2b
obo4bo$2b2o2bobob3o3bo3bo4bo3b2o7bob2o2bob3o3b2o2bo4bo2b5obo2bo4bo3bob
obo5b6o5bobobo3bo4bo2bob5o2bo4bo2b2o3b3obo2b2obo7b2o3bo4bo3bo3b3obobo
2b2o$2b3o4b2ob3obo2bob2o2bob3o3b2o2bo4bo2b5obo2bob2o2b2o2bo3bo2b2o6bo
2bo2bob5o6b5obo2bo2bo6b2o2bo3bo2b2o2b2obo2bob5o2bo4bo2b2o3b3obo2b2obo
2bob3ob2o4b3o$2bo3bo2bob5o2bo4bo2b5obo2bob2o2b2o2bo3bo2b2o9b2obob2o4bo
2bo2bo2bo22bo2bo2bo2bo4b2obob2o9b2o2bo3bo2b2o2b2obo2bob5o2bo4bo2b5obo
2bo3bo$2b3o4bobo3bo2b2o2b2o2bo3bo2b2o9b2obob2o4b7o9b16o5bo4bo5b16o9b7o
4b2obob2o9b2o2bo3bo2b2o2b2o2bo3bobo4b3o$2b3o4b3obob2o8b2obob2o4b7o9b3o
7b8o2b14o18b14o2b8o7b3o9b7o4b2obob2o8b2obob3o4b3o$2bobo4bo8b6o9b3o7b9o
18b2o14b3o2bobo2bobo2b3o14b2o18b9o7b3o9b6o8bo4bobo$2b3o4bob7o6b9o22bo
5bo27bobo6bobo27bo5bo22b9o6b7obo4b3o$2bo3b2o2bo25bo5bo9bo16bo2bo12bo4b
o8bo4bo12bo2bo16bo9bo5bo25bo2b2o3bo$2bob5o9bo4bo9bo43b2o11bo8bo11b2o
43bo9bo4bo9b5obo$2o3bo2bo67bo2bo10b2o2b2o2b2o10bo2bo67bo2bo3b2o$bo2bob
obo68b2o11b2obo2bob2o11b2o68bobobo2bo$3bo3bo2b2o63bo4bo9bobo4bobo9bo4b
o63b2o2bo3bo$ob3o2bo2b4o35b2o26b3obo8bobo4bobo8bob3o26b2o35b4o2bo2b3ob
o$2bob3o2b3ob3o32bo2bo21b4o5bo7b3o4b3o7bo5b4o21bo2bo32b3ob3o2b3obo$4bo
bo2b2o2bob3o31b2o21bo7b2o8bo3b2o3bo8b2o7bo21b2o31b3obo2b2o2bobo$6bo2bo
5bob3o27bo4bo4b2o12bo5bo3bo8bob2o2b2obo8bo3bo5bo12b2o4bo4bo27b3obo5bo
2bo$3bob3o9bob3o27b2o5bo2bo12b3o8b2o3b4o6b4o3b2o8b3o12bo2bo5b2o27b3obo
9b3obo$5bobo11bob3o25b3obo3b2o13b2o9b2ob7o4b7ob2o9b2o13b2o3bob3o25b3ob
o11bobo$7b2o12bob3o23bo3bobo4bo3b2o6bo10bob4obo8bob4obo10bo6b2o3bo4bob
o3bo23b3obo12b2o$23bob3o21bob2o4b2o4bo2bo2b2o12b4ob2obo6bob2ob4o12b2o
2bo2bo4b2o4b2obo21b3obo$6bo2bo15bob3o19b2o3b4o2bobo4bob2o12bo2b5o8b5o
2bo12b2obo4bobo2b4o3b2o19b3obo15bo2bo$27bob3o17bob2o2b4o3b2obo2bobo12b
5o2bo8bo2b5o12bobo2bob2o3b4o2b2obo17b3obo$29bob3o15b3o2bo3bo6bo2b3o12b
obo2bob2o6b2obo2bobo12b3o2bo6bo3bo2b3o15b3obo$31bob3o13b2obo2b2obo4b2o
2b2o3b2o2b2o2b2o3bobo6b2o6bobo3b2o2b2o2b2o3b2o2b2o4bob2o2bob2o13b3obo$
33bob3o9b2ob4o3b2o5bo2b7obo2bob2o4bo2b3obo2bob3o2bo4b2obo2bob7o2bo5b2o
3b4ob2o9b3obo$35bob3o8b4obo2bobo7b3obob3o4b4o3b2o2b3o4b3o2b2o3b4o4b3ob
ob3o7bobo2bob4o8b3obo$37bob3o2b2obob2o2b2ob3o7bo2b3o2bo4bo2b3o4bo2bo4b
o2bo4b3o2bo4bo2b3o2bo7b3ob2o2b2obob2o2b3obo$39bob9o8bo6b2obobobob2o2b
2obobo2b2o2bob2o2b2obo2b2o2bobob2o2b2obobobob2o6bo8b9obo$41bobo2b3obob
o2b2obo10bobo10bob2o2b2o10b2o2b2obo10bobo10bob2o2bobob3o2bobo$43bobo3b
o2bobo2b2o4b5o5b8o10b8o10b8o5b5o4b2o2bobo2bo3bobo$40bob3o6bo3b2obo3bo
5b5o8b10o8b10o8b5o5bo3bob2o3bo6b3obo$42bobo3bob3o2b2obo2bo66bo2bob2o2b
3obo3bobo$44b2o4bob13o2bo5bo6bo10bo6bo10bo6bo5bo2b13obo4b2o$52bobo2b7o
62b7o2bobo$43bo2bo7bobo7b6o2bobo40bobo2b6o7bobo7bo2bo$51bob3o14bobo44b
obo14b3obo$53bobo7bo7b3obo38bob3o7bo7bobo$55b2o14bobo42bobo14b2o$70b2o
46b2o$54bo2bo74bo2bo$69bo2bo44bo2bo!

Database entry:

Code: Select all

:Matthias Merzenich, 2024:B24578/S1346:B24578/S13468:1:0:1:190:62:35b2o28b2o56b2o28b2o$34bo2bo26bo2bo54bo2bo26bo2bo$11b2o5b2o15b2o28b2o56b2o28b2o15b2o5b2o$10bo2bo3bo2bo12bo4bo3b2o14b2o3bo4bo52bo4bo3b2o14b2o3bo4bo12bo2bo3bo2bo$11b2o5b2o12bob2o2bob3o3b2o6b2o3b3obo2b2obo50bob2o2bob3o3b2o6b2o3b3obo2b2obo12b2o5b2o$11b2o3bo4bo5b2o2bo4bo2b5obo2bo4bo2bob5o2bo4bo2b2o40b2o2bo4bo2b5obo2bo4bo2bob5o2bo4bo2b2o5bo4bo3b2o$10b5obo2b2obo3bo2bob2o2b2o2bo3bo2b2o6b2o2bo3bo2b2o2b2obo2bo38bo2bob2o2b2o2bo3bo2b2o6b2o2bo3bo2b2o2b2obo2bo3bob2o2bob5o$12b4o2bo4bo3b2o9b2obob2o4bo2bo4b2obob2o9b2o40b2o9b2obob2o4bo2bo4b2obob2o9b2o3bo4bo2b4o$11bo3bo2b2o2b2obo4b7o9b10o9b7o4bo17b2o17bo4b7o9b10o9b7o4bob2o2b2o2bo3bo$12b2ob2o10b3o7b8o2b8o2b8o7b3o18bo2bo18b3o7b8o2b8o2b8o7b3o10b2ob2o$12bo5b9o18b2o8b2o18b4o13bo4bo13b4o18b2o8b2o18b9o5bo$12b2o2b2o12bo5bo28bo5bo7bo13b4o13bo7bo5bo28bo5bo12b2o2b2o$7b2o3b2obo11bo16bo2bo6bo2bo16bo5bo6b2o2bo6bo2b2o6bo5bo16bo2bo6bo2bo16bo11bob2o3b2o$6bo2bo2bobo3bo58b3o6bo2bobo2b2o2bobo2bo6b3o58bo3bobo2bo2bo$7b2o3bobo63b2o5bo4bo2bo2bo2bo4bo5b2o63bobo3b2o$7b2o3b3o2bobo59bo3b3o4b3o4b3o4b3o3bo59bobo2b3o3b2o$6b5o3b2obo42b2o19b3ob2o3bobo4bobo3b2ob3o19b2o42bob2o3b5o$2b2o4b3o2bob2o24b2o16bo2bo18b4ob3o3bo4bo3b3ob4o18bo2bo16b2o24b2obo2b3o4b2o$bo2bob3obo3bobo5b2o16bo2bo16b2o19bob7obo2b2o2bob7obo19b2o16bo2bo16b2o5bobo3bob3obo2bo$2b2o2b5o3bobo4bo2bo16b2o15bo4bo3b2o12bo2b2o3bo2b2o2b2o2bo3b2o2bo12b2o3bo4bo15b2o16bo2bo4bobo3b5o2b2o$o4bobo2bo3b3o5b2o15bo4bo3b2o7bob2o2bob3o3b2o6b2o4b3ob2o8b2ob3o4b2o6b2o3b3obo2b2obo7b2o3bo4bo15b2o5b3o3bo2bobo4bo$2b2o2bobob3o3bo3bo4bo3b2o7bob2o2bob3o3b2o2bo4bo2b5obo2bo4bo3bobobo5b6o5bobobo3bo4bo2bob5o2bo4bo2b2o3b3obo2b2obo7b2o3bo4bo3bo3b3obobo2b2o$2b3o4b2ob3obo2bob2o2bob3o3b2o2bo4bo2b5obo2bob2o2b2o2bo3bo2b2o6bo2bo2bob5o6b5obo2bo2bo6b2o2bo3bo2b2o2b2obo2bob5o2bo4bo2b2o3b3obo2b2obo2bob3ob2o4b3o$2bo3bo2bob5o2bo4bo2b5obo2bob2o2b2o2bo3bo2b2o9b2obob2o4bo2bo2bo2bo22bo2bo2bo2bo4b2obob2o9b2o2bo3bo2b2o2b2obo2bob5o2bo4bo2b5obo2bo3bo$2b3o4bobo3bo2b2o2b2o2bo3bo2b2o9b2obob2o4b7o9b16o5bo4bo5b16o9b7o4b2obob2o9b2o2bo3bo2b2o2b2o2bo3bobo4b3o$2b3o4b3obob2o8b2obob2o4b7o9b3o7b8o2b14o18b14o2b8o7b3o9b7o4b2obob2o8b2obob3o4b3o$2bobo4bo8b6o9b3o7b9o18b2o14b3o2bobo2bobo2b3o14b2o18b9o7b3o9b6o8bo4bobo$2b3o4bob7o6b9o22bo5bo27bobo6bobo27bo5bo22b9o6b7obo4b3o$2bo3b2o2bo25bo5bo9bo16bo2bo12bo4bo8bo4bo12bo2bo16bo9bo5bo25bo2b2o3bo$2bob5o9bo4bo9bo43b2o11bo8bo11b2o43bo9bo4bo9b5obo$2o3bo2bo67bo2bo10b2o2b2o2b2o10bo2bo67bo2bo3b2o$bo2bobobo68b2o11b2obo2bob2o11b2o68bobobo2bo$3bo3bo2b2o63bo4bo9bobo4bobo9bo4bo63b2o2bo3bo$ob3o2bo2b4o35b2o26b3obo8bobo4bobo8bob3o26b2o35b4o2bo2b3obo$2bob3o2b3ob3o32bo2bo21b4o5bo7b3o4b3o7bo5b4o21bo2bo32b3ob3o2b3obo$4bobo2b2o2bob3o31b2o21bo7b2o8bo3b2o3bo8b2o7bo21b2o31b3obo2b2o2bobo$6bo2bo5bob3o27bo4bo4b2o12bo5bo3bo8bob2o2b2obo8bo3bo5bo12b2o4bo4bo27b3obo5bo2bo$3bob3o9bob3o27b2o5bo2bo12b3o8b2o3b4o6b4o3b2o8b3o12bo2bo5b2o27b3obo9b3obo$5bobo11bob3o25b3obo3b2o13b2o9b2ob7o4b7ob2o9b2o13b2o3bob3o25b3obo11bobo$7b2o12bob3o23bo3bobo4bo3b2o6bo10bob4obo8bob4obo10bo6b2o3bo4bobo3bo23b3obo12b2o$23bob3o21bob2o4b2o4bo2bo2b2o12b4ob2obo6bob2ob4o12b2o2bo2bo4b2o4b2obo21b3obo$6bo2bo15bob3o19b2o3b4o2bobo4bob2o12bo2b5o8b5o2bo12b2obo4bobo2b4o3b2o19b3obo15bo2bo$27bob3o17bob2o2b4o3b2obo2bobo12b5o2bo8bo2b5o12bobo2bob2o3b4o2b2obo17b3obo$29bob3o15b3o2bo3bo6bo2b3o12bobo2bob2o6b2obo2bobo12b3o2bo6bo3bo2b3o15b3obo$31bob3o13b2obo2b2obo4b2o2b2o3b2o2b2o2b2o3bobo6b2o6bobo3b2o2b2o2b2o3b2o2b2o4bob2o2bob2o13b3obo$33bob3o9b2ob4o3b2o5bo2b7obo2bob2o4bo2b3obo2bob3o2bo4b2obo2bob7o2bo5b2o3b4ob2o9b3obo$35bob3o8b4obo2bobo7b3obob3o4b4o3b2o2b3o4b3o2b2o3b4o4b3obob3o7bobo2bob4o8b3obo$37bob3o2b2obob2o2b2ob3o7bo2b3o2bo4bo2b3o4bo2bo4bo2bo4b3o2bo4bo2b3o2bo7b3ob2o2b2obob2o2b3obo$39bob9o8bo6b2obobobob2o2b2obobo2b2o2bob2o2b2obo2b2o2bobob2o2b2obobobob2o6bo8b9obo$41bobo2b3obobo2b2obo10bobo10bob2o2b2o10b2o2b2obo10bobo10bob2o2bobob3o2bobo$43bobo3bo2bobo2b2o4b5o5b8o10b8o10b8o5b5o4b2o2bobo2bo3bobo$40bob3o6bo3b2obo3bo5b5o8b10o8b10o8b5o5bo3bob2o3bo6b3obo$42bobo3bob3o2b2obo2bo66bo2bob2o2b3obo3bobo$44b2o4bob13o2bo5bo6bo10bo6bo10bo6bo5bo2b13obo4b2o$52bobo2b7o62b7o2bobo$43bo2bo7bobo7b6o2bobo40bobo2b6o7bobo7bo2bo$51bob3o14bobo44bobo14b3obo$53bobo7bo7b3obo38bob3o7bo7bobo$55b2o14bobo42bobo14b2o$70b2o46b2o$54bo2bo74bo2bo$69bo2bo44bo2bo!

I am particularly curious to know if a p1 photon exists in B2458/S13467. I ran a height-154 s2s recentering-wao search with LLSSS. which found nothing, and any larger height caused the search to use too much memory for my machine. Maybe someone else could give it a try. Here is the full list of rules that I tested but was unable to solve, separated into groups of related rules:

Code: Select all

B2578/S1345
B2578/S13458
B257/S134578
B2578/S134578
B258/S134578
B25/S134578
B257/S13457
B2578/S13457
B258/S13457
B25/S13457

B2467/S1345
B2467/S13458

B24678/S134568
B2467/S134568
B247/S134568
B2478/S134568

B247/S13456
B2478/S13456
B248/S13456
B24/S13456

B268/S1346
B26/S1346
B268/S13468
B26/S13468

B2457/S1346
B2457/S13468

B2458/S13467

B2568/S1347
B2568/S13478
B2568/S1348
B2568/S134

B246/S1578
B2468/S1578
B24678/S1578
B2467/S1578
B246/S157
B2468/S157
B24678/S157
B2467/S157
B246/S1567
B2468/S1567
B24678/S1567
B2467/S1567
B246/S15678
B2468/S15678
B24678/S15678
B2467/S15678

And here is the map of the rules I checked, where a "1" means there is a known p1 photon, a blank space means no p1 photons exist, and a period means that it is not known whether a p1 photon exists:

Code: Select all

             B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B
             2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
                                             4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
                             5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
                     6 6 6 6 6 6 6 6                 6 6 6 6 6 6 6 6
                 7 7 7 7         7 7 7 7         7 7 7 7         7 7 7 7
               8 8     8 8     8 8     8 8     8 8     8 8     8 8     8 8
            ----------------------------------------------------------------
S          : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S        8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S       78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S       7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S      67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S      678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S      6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S      6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3  6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3  6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3  678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3  67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3   7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3   78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3    8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3      : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23      : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23    8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23   78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23   7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23  67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23  678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23  6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23  6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2   6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2   6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2   678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2   67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2    7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2    78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2     8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2       : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 12       :
S 12     8 :
S 12    78 :
S 12    7  :
S 12   67  :
S 12   678 :
S 12   6 8 :
S 12   6   :
S 12  56   :
S 12  56 8 :
S 12  5678 :
S 12  567  :
S 12  5 7  :
S 12  5 78 :
S 12  5  8 :
S 12  5    :
S 12 45    :
S 12 45  8 :
S 12 45 78 :
S 12 45 7  :
S 12 4567  :
S 12 45678 :
S 12 456 8 :
S 12 456   :
S 12 4 6   :
S 12 4 6 8 :
S 12 4 678 :
S 12 4 67  :
S 12 4  7  :
S 12 4  78 :
S 12 4   8 :
S 12 4     :
S 1234     :
S 1234   8 :
S 1234  78 :
S 1234  7  :
S 1234 67  :
S 1234 678 :
S 1234 6 8 :
S 1234 6   :
S 123456   :
S 123456 8 :
S 12345678 :
S 1234567  :
S 12345 7  :
S 12345 78 :
S 12345  8 :
S 12345    :
S 123 5    :
S 123 5  8 :
S 123 5 78 :
S 123 5 7  :
S 123 567  :
S 123 5678 :
S 123 56 8 :
S 123 56   :
S 123  6   :
S 123  6 8 :
S 123  678 :
S 123  67  :
S 123   7  :
S 123   78 :
S 123    8 :
S 123      :
S 1 3      :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3    8 :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3   78 :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3   7  :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3  67  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3  678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3  6 8 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3  6   :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 56   :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 56 8 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 567  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5 7  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5 78 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5  8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5    :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 345    :                           .     1 1 1 1         1 1 1 . 1 1 1 1
S 1 345  8 :                           .     1 1 1 1         1 1 1 . 1 1 1 1
S 1 345 78 :                         . . . . 1 1 1 1         1 1 1 1 1 1 1 1
S 1 345 7  :                         . . . . 1 1 1 1         1 1 1 1 1 1 1 1
S 1 34567  :
S 1 345678 :
S 1 3456 8 :                                                 1 1 . . . . 1 1
S 1 3456   :                                                 1 1     . . . .
S 1 34 6   :         1 1 . . 1 1 1 1 1 1         1 .         1 1 1 1 1 1 1 1
S 1 34 6 8 :         1 1 . . 1 1 1 1 1 1         1 .         1 1 1 1 1 1 1 1
S 1 34 678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1         1 1 1 1 1 1 1 1
S 1 34 67  :         1 1 1 1 1 1 1 1 1 1 1 1   . 1 1         1 1 1 1 1 1 1 1
S 1 34  7  :                   . 1 1         1 1 1 1         1 1 1 1 1 1 1 1
S 1 34  78 :                   . 1 1         1 1 1 1         1 1 1 1 1 1 1 1
S 1 34   8 :                   . 1 1         1 1 1 1         1 1 1 1 1 1 1 1
S 1 34     :                   . 1 1         1 1 1 1         1 1 1 1 1 1 1 1
S 1  4     :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4   8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4  78 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4  7  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4 67  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4 678 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4 6 8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4 6   :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  456   :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  456 8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45678 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4567  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45 7  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45 78 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45  8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45    :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1   5    :                                 1 1 1 1 1 1 1 1
S 1   5  8 :                                 1 1 1 1 1 1 1 1
S 1   5 78 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S 1   5 7  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S 1   567  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S 1   5678 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S 1   56 8 :                                 1 1 1 1 1 1 1 1
S 1   56   :                                 1 1 1 1 1 1 1 1
S 1    6   :
S 1    6 8 :
S 1    678 :
S 1    67  :
S 1     7  :
S 1     78 :
S 1      8 :
S 1        :

I'll give more details later.

Edit: I also eliminated B258/S1345(8) and B25(7)/S1345(8). I updated the rule list and table above.

-Matthias Merzenich

Sokwe: Moderator; Posts: 3367; Joined: July 9th, 2009, 2:44 pm

Re: Life-like p1 photon project

Quote
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Post by Sokwe » October 10th, 2024, 11:16 pm

I'm still trying to determine which rules contain p1 photons. I've now gone through the B2 rules with S01, albeit with several rules still unsolved. Here is the list of unsolved rules in this range:

Code: Select all

B24567/S0156
B24567/S01568

B257/S014568
B2578/S014568
B258/S014568
B25/S014568
B257/S01456
B2578/S01456
B258/S01456
B25/S01456

B257/S0147
B2578/S0147
B258/S0147
B25/S0147
B257/S01478
B2578/S01478
B258/S01478
B25/S01478
B257/S0148
B2578/S0148
B258/S0148
B25/S0148
B257/S014
B2578/S014
B258/S014
B25/S014

B246/S0134
B2467/S0134
B246/S01348
B2467/S01348
B246/S013478
B2467/S013478
B246/S01347
B2467/S01347

B248/S013467
B248/S013468
B248/S01346

B247/S0136
B2478/S0136
B248/S0136
B24/S0136
B247/S01368
B2478/S01368
B248/S01368
B24/S01368
B247/S013678
B248/S013678
B24/S013678
B247/S01367
B2478/S01367
B248/S01367
B24/S01367
B247/S0137
B2478/S0137
B248/S0137
B24/S0137
B247/S01378
B2478/S01378
B248/S01378
B24/S01378
B247/S0138
B2478/S0138
B248/S0138
B24/S0138
B247/S013
B2478/S013
B248/S013
B24/S013

B246/S0137
B2468/S0137
B246/S01378
B2468/S01378
B246/S0138
B2468/S0138
B246/S013
B2468/S013

Here is the map showing which rules in this range have p1 photons:

Code: Select all

             B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B
             2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
                                             4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
                             5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
                     6 6 6 6 6 6 6 6                 6 6 6 6 6 6 6 6
                 7 7 7 7         7 7 7 7         7 7 7 7         7 7 7 7
               8 8     8 8     8 8     8 8     8 8     8 8     8 8     8 8
            ----------------------------------------------------------------
S01        :
S01      8 :
S01     78 :
S01     7  :
S01    67  :
S01    678 :
S01    6 8 :
S01    6   :
S01   56   :                                 1 1 1 1 . 1 1 1
S01   56 8 :                                 1 1 1 1 . 1 1 1
S01   5678 :
S01   567  :
S01   5 7  :                 1 1     1 1     1 1 1 1 1 1 1 1
S01   5 78 :                 1 1     1 1     1 1 1 1 1 1 1 1
S01   5  8 :                                 1 1 1 1 1 1 1 1
S01   5    :                                 1 1 1 1 1 1 1 1
S01  45    :                 1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  45  8 :                 1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  45 78 :                 1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  45 7  :                 1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4567  :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  45678 :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  456 8 :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  456   :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4 6   :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4 6 8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4 678 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4 67  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4  7  :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4  78 :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4   8 :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4     :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01 34     :                                                 . 1 1 . 1 1
S01 34   8 :                                                 . 1 1 . 1 1
S01 34  78 :                                                 . 1 1 . 1 1
S01 34  7  :                                                 . 1 1 . 1 1
S01 34 67  :                                                 1 1 1 1 1 1 .
S01 34 678 :                                                 1 1 1 1 1 1 1
S01 34 6 8 :                                                 1 1 1 1 1 1 .
S01 34 6   :                                                 1 1 1 1 1 1 .
S01 3456   :
S01 3456 8 :
S01 345678 :
S01 34567  :
S01 345 7  :
S01 345 78 :
S01 345  8 :
S01 345    :
S01 3 5    :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 5  8 :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 5 78 :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 5 7  :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 567  :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 5678 :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 56 8 :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 56   :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3  6   :                 1 1 1 1                         1 1 1 1 . . . .
S01 3  6 8 :                 1 1 1 1                         1 1 1 1 . . . .
S01 3  678 :                 1 1 1 1                         1 1 1 1 . 1 . .
S01 3  67  :                 1 1 1 1                         1 1 1 1 . . . .
S01 3   7  :                                                 . . 1 1 . . . .
S01 3   78 :                                                 . . 1 1 . . . .
S01 3    8 :                                                 . . 1 1 . . . .
S01 3      :                                                 . . 1 1 . . . .
S0123      :
S0123    8 :
S0123   78 :
S0123   7  :
S0123  67  :
S0123  678 :
S0123  6 8 :
S0123  6   :
S0123 56   :
S0123 56 8 :
S0123 5678 :
S0123 567  :
S0123 5 7  :
S0123 5 78 :
S0123 5  8 :
S0123 5    :
S012345    :
S012345  8 :
S012345 78 :
S012345 7  :
S01234567  :
S012345678 :
S0123456 8 :
S0123456   :
S01234 6   :
S01234 6 8 :
S01234 678 :
S01234 67  :
S01234  7  :
S01234  78 :
S01234   8 :
S01234     :
S012 4     :
S012 4   8 :
S012 4  78 :
S012 4  7  :
S012 4 67  :
S012 4 678 :
S012 4 6 8 :
S012 4 6   :
S012 456   :
S012 456 8 :
S012 45678 :
S012 4567  :
S012 45 7  :
S012 45 78 :
S012 45  8 :
S012 45    :
S012  5    :
S012  5  8 :
S012  5 78 :
S012  5 7  :
S012  567  :
S012  5678 :
S012  56 8 :
S012  56   :
S012   6   :
S012   6 8 :
S012   678 :
S012   67  :
S012    7  :
S012    78 :
S012     8 :
S012       :

Here are new p1 photons in this range (and a p1 photon from a part of the table I haven't completed yet):

Code: Select all

:Matthias Merzenich, 2024:B256/S14:B2568/S01478:1:0:1:64:50:10b2o40b2o$9bo2bo38bo2bo$10b2o40b2o$4b2o2bob2obo2b2o28b2o2bob2obo2b2o$3bo2bobo4bobo2bo26bo2bobo4bobo2bo$4b2ob11obo8b2o4b2o8bob11ob2o$4b2o9bob2o8bo2bo2bo2bo8b2obo9b2o$4bob9obobobo7b2o4b2o7bobobob9obo$4b2o2b2o7bo2bob2o2bob2o4b2obo2b2obo2bo7b2o2b2o$2b3ob2o2b8ob3o2bobo4b2o4bobo2b3ob8o2b2ob3o$bobobo4b2o8bob2ob14ob2obo8b2o4bobobo$2bobo3bobob8ob2o7bo2bo7b2ob8obobo3bobo$2b3obobo2bo2b2o5bob7ob2ob7obo5b2o2bo2bobob3o$3ob2ob3ob3o2b5o6b2o6b2o6b5o2b3ob3ob2ob3o$bobobo8b2o4b7o2b6o2b7o4b2o8bobobo$6b8o2b4obo5b2o6b2o5bob4o2b8o$3bo2b2o4b2o6bob5o2b6o2b5obo6b2o4b2o2bo$2bobobo4bobo3b3o3b2o2b3o4b3o2b2o3b3o3bobo4bobobo$3b3o6b2o2bo2b4o2bo2bob4obo2bo2b4o2bo2b2o6b3o$3bobobo2bobo2bo2bobo3b4obo4bob4o3bobo2bo2bobo2bobobo$b3ob2obobo2b7ob4obo2b6o2bob4ob7o2bobob2ob3o$2bo3bo2b5obobobo3bobob2o6b2obobo3bobobob5o2bo3bo$5b2o2bobobobobob4obo4b6o4bob4obobobobobo2b2o$6b4obob2obo3bo3b5o6b5o3bo3bob2obob4o$10bobo3b4ob3o3b2o2b2o2b2o3b3ob4o3bobo$7b3o2b4o4b2o6bobo2bobo6b2o4b4o2b3o$8b2o5b3o2bobobo3b8o3bobobo2b3o5b2o$9bobo2bobobo2bo2bob3o6b3obo2bo2bobobo2bobo$11bobobob5ob3o12b3ob5obobobo$12b3o2bobob3obo3bo4bo3bob3obobo2b3o$12bobob2obobobob3obob2obob3obobobob2obobo$10b3ob2o2bob2ob2o3b3o2b3o3b2ob2obo2b2ob3o$11bo3bo4bo3bo3bobo2bobo3bo3bo4bo3bo$14b2o4b2ob2ob3ob4ob3ob2ob2o4b2o$15b3o2b2o5bo8bo5b2o2b3o$18bobob5ob8ob5obobo$16b2o2b2o2b2o5b2o5b2o2b2o2b2o$17b3o3bo2b5o2b5o2bo3b3o$20b6o5b2o5b6o$18b2o6b4o4b4o6b2o$19b7o2b8o2b7o$22b2o3bo2bo2bo2bo3b2o$20b2o2b6ob2ob6o2b2o$21b3o2bobo6bobo2b3o$24b2obob6obob2o$22b2o16b2o$23b2o2bo2b4o2bo2b2o$25bobobo4bobobo$24b7o2b7o$25bo3bo4bo3bo!
:Matthias Merzenich, 2024:B24678/S134:B24678/S013478:1:0:1:70:74:9b2o48b2o$8bo2bo46bo2bo$7bo4bo44bo4bo$6bo2bob4o4b2o28b2o4b4obo2bo$7b2ob2obo4bo2bo26bo2bo4bob2ob2o$7b2obobobob8o22b8obobobob2o$5b2obo3b3o2bobobob3o18b3obobobo2b3o3bob2o$6bo7bobobobobobo20bobobobobobo7bo$11bo2b5obob2obob2o12b2obob2obob5o2bo$10bobo3bob2o2bobo2b2ob2o6b2ob2o2bobo2b2obo3bobo$11bo2b2obobo4b2obobo2bo4bo2bobob2o4bobob2o2bo$11b2o2bob3o9bobo6bobo9b3obo2b2o$11b2o4bobo2b3o2bob3o6b3obo2b3o2bobo4b2o$9b2obo8bo3bobobobo6bobobobo3bo8bob2o$8bo3bo3bob3o5bo2b3o6b3o2bo5b3obo3bo3bo$9bo3b2obo2b2o5b2obobo6bobob2o5b2o2bob2o3bo$6b3o4b4obobo5b2ob3o6b3ob2o5bobob4o4b3o$7b2o4bo2bob3o3b2obo3bo6bo3bob2o3b3obo2bo4b2o$8bo4bo2bo3bo4bo4b2o2b2o2b2o4bo4bo3bo2bo4bo$10b2o2b2o3b2o12bo2bo12b2o3b2o2b2o$7bob4o4bob2o10b2o4b2o10b2obo4b4obo$6bob2o2bo2b2obobo7b2ob2o4b2ob2o7bobob2o2bo2b2obo$7bobo2bo3bob3o6bo2bobo4bobo2bo6b3obo3bo2bobo$7bo3b2o5bo3b2o2bo5bo4bo5bo2b2o3bo5b2o3bo$5b2o4b2o7b2o2bob2obobo2b2o2bobob2obo2b2o7b2o4b2o$6bo4bob2o5b2obo5bo2b2o2b2o2bo5bob2o5b2obo4bo$8b2o3bo6bobo2b2o3bo8bo3b2o2bobo6bo3b2o$5bob3o9b2o3b3obo2b2o4b2o2bob3o3b2o9b3obo$2b2obo3bo14bobobo2bo6bo2bobobo14bo3bob2o$bo2bo3b2o10b3o5b2o10b2o5b3o10b2o3bo2bo$2bobo6b2o8b2o3bob2o10b2obo3b2o8b2o6bobo$2b3o4b2o2bo8bo2bobobo10bobobo2bo8bo2b2o4b3o$2bobo5bobo11bo4b2o8b2o4bo11bobo5bobo$2b3o8b3o8b2o18b2o8b3o8b3o$2bobo3b4o4bo7b2ob3o10b3ob2o7bo4b4o3bobo$2b3o2bo4b2obo6b2obob2o12b2obob2o6bob2o4bo2b3o$2bo3bo7b2o7bo3bo14bo3bo7b2o7bo3bo$2bo2b2o6bobo38bobo6b2o2bo$2b2ob2o5bo2bo38bo2bo5b2ob2o$2b2obob2o4b3o38b3o4b2obob2o$2obo3bo5bobo12b2o10b2o12bobo5bo3bob2o$bo11b3o11bo2bo8bo2bo11b3o11bo$13bobo10bo4bo6bo4bo10bobo$13b3o2b2o4b4obo2bo4bo2bob4o4b2o2b3o$13bo3bo2bo4bob2ob2o6b2ob2obo4bo2bo3bo$13b2o2b6obobobob2o6b2obobobob6o2b2o$13b2ob2obobo2b3o3bob2o2b2obo3b3o2bobob2ob2o$11b2obobobobobobo7bo4bo7bobobobobobob2o$12bo3b3ob5o2bo14bo2b5ob3o3bo$18bo3bo3bobo12bobo3bo3bo$17b2ob2ob2o2bo14bo2b2ob2ob2o$21bobo2b2o14b2o2bobo$18b2obo4b2o14b2o4bob2o$17bo2bo5bob2o10b2obo5bo2bo$18bobo5b3o5b2o5b3o5bobo$18b3o5bobobo2bo2bo2bobobo5b3o$18bobo5b3obobo4bobob3o5bobo$18b3o5bo3b3o4b3o3bo5b3o$18bobo5b2o4bo4bo4b2o5bobo$18b3o5b2obo2b2o2b2o2bob2o5b3o$18bobo5bobobo8bobobo5bobo$18b3o4b2o4b2o4b2o4b2o4b3o$18bo3b2ob2obo2bo6bo2bob2ob2o3bo$18bo2b3obobobo10bobobob3o2bo$18b2obobo3b3o4b2o4b3o3bobob2o$18b2ob3obobobo2b6o2bobobob3ob2o$16b2obo3bobob3o3bo2bo3b3obobo3bob2o$17bo4b2o2b2ob2obob2obob2ob2o2b2o4bo$26bobob2o6b2obobo$20b3o3bo3bob2o2b2obo3bo3b3o$21b2ob2o6bo4bo6b2ob2o$22bob2o18b2obo$24bob2o14b2obo$26bo16bo!
:Matthias Merzenich, 2024:B248/S134678:B2478/S0134678:1:0:1:94:50:12b2o12b2o10b2o2b2o2b2o2b2o2b2o10b2o12b2o$13b3o8b6o2b2o2b22o2b2o2b6o8b3o$11bobob3o4b3ob2ob36ob2ob3o4b3obobo$8b2obob5ob2ob12obo22bob12ob2ob5obob2o$7bo2bo2bo2bobo2bobo2b2o2b3o2bo22bo2b3o2b2o2bobo2bobo2bo2bo2bo$8bob2obo2bo6bo2b2o2b2o4b2o2b2o10b2o2b2o4b2o2b2o2bo6bo2bob2obo$5b3o6b2o8b2obo2bo5b2obo2bo8bo2bob2o5bo2bob2o8b2o6b3o$6b2o2b2o2b2o8b2ob2o7bobo4bo6bo4bobo7b2ob2o8b2o2b2o2b2o$7bo3b3obo6b2obob2o7bobo4b3o2b3o4bobo7b2obob2o6bob3o3bo$9bobobobo7bo3bob2o3b2o2b2o3b8o3b2o2b2o3b2obo3bo7bobobobo$9bob3o2b2o11bo5bo6b10o6bo5bo11b2o2b3obo$8b2obo4b2ob2o12bobo3b4o8b4o3bobo12b2ob2o4bob2o$11bob3obob2ob2o8bobo2b4obo8bob4o2bobo8b2ob2obob3obo$6b3o3bo4bobobo2bo6bo4b2ob4o8b4ob2o4bo6bo2bobobo4bo3b3o$7b2obo5bo2bo5bo2b2ob2o3b7o8b7o3b2ob2o2bo5bo2bo5bob2o$8bobo4bo2bo6b4o6b9o6b9o6b4o6bo2bo4bobo$10b2o4b2o2bo4bobobo2b4o7b3o2b3o7b4o2bobobo4bo2b2o4b2o$16b2o2bob2o3bob5obo7bob4obo7bob5obo3b2obo2b2o$8b3o5bob2o3b2obo2b7o7b8o7b7o2bob2o3b2obo5b3o$7bo3bo3b2ob2o2bob2o2bob6o7bo2b2o2bo7b6obo2b2obo2b2ob2o3bo3bo$6bo5bo5bob3obob2o2b5ob2o5bo2b2o2bo5b2ob5o2b2obob3obo5bo5bo$5bo2bo3b4o4bobobo4bob3o2bo4b2o2b4o2b2o4bo2b3obo4bobobo4b4o3bo2bo$6b2obo2b3o7bo2bo2b2ob2o9bo2b4o2bo9b2ob2o2bo2bo7b3o2bob2o$6b2ob3obo9bo2bob2obo12b6o12bob2obo2bo9bob3ob2o$4b2obobobobobo7b2o2bobo14bo4bo14bobo2b2o7bobobobobob2o$3bo3bo3bo2bobo6b2o2bo15b2o4b2o15bo2b2o6bobo2bo3bo3bo$2bo3bo5bo4bo5bob2o19b2o19b2obo5bo4bo5bo3bo$3b4o5b2ob2o5b2ob2o14b3o2b2o2b3o14b2ob2o5b2ob2o5b4o$3b2obo5b2o2bo8bob2o13b2ob4ob2o13b2obo8bo2b2o5bob2o$2b5o5bobobo3b3o4bo15bobo2bobo15bo4b3o3bobobo5b5o$4b3o4b2o2bo2b4o23bo2bo23b4o2bo2b2o4b3o$3ob2ob2o6bo2b3o4b5o16b2o16b5o4b3o2bo6b2ob2ob3o$b2obo2bo4b3o2b3o4bo5bo9b2o2bo4bo2b2o9bo5bo4b3o2b3o4bo2bob2o$2bo10b2o2b2o4bo7bo6b8o2b8o6bo7bo4b2o2b2o10bo$14bo2bo6b3o4b3o2b6obob4obob6o2b3o4b3o6bo2bo$16b2obo2bo4bo3bob4ob18ob4obo3bo4bo2bob2o$16b2obobob2obo4b32o4bob2obobob2o$14b2obo2bo4b2o4bo2b4o18b4o2bo4b2o4bo2bob2o$15bo4b2o2bobo3b2o2b4o18b4o2b2o3bobo2b2o4bo$20b2obo2bo6b4ob2o14b2ob4o6bo2bob2o$20bobo2bo2b3o2b3o2bo16bo2b3o2b3o2bo2bobo$20bo3b3o2b2ob3o24b3ob2o2b3o3bo$18b2o4bobo3bob2o26b2obo3bobo4b2o$19bo4b3o5bo28bo5b3o4bo$21b2o3bo40bo3b2o$21b3o2bo40bo2b3o$19b2ob2ob2o40b2ob2ob2o$20bo2bob2o40b2obo2bo$25bob2o36b2obo$27bo38bo!
:Matthias Merzenich, 2024:B2467/S3:B24678/S01378:1:0:1:110:57:38b2o30b2o$35b2ob2ob2o24b2ob2ob2o$34bo2bo2bo2bo22bo2bo2bo2bo$33bo10bo3b2o4b2o4b2o3bo10bo$31b3o10b3ob2ob2ob2ob2ob2ob3o10b3o$30bo2bo10bo2bo2bo2bo2bo2bo2bo2bo10bo2bo$31bo3b2o7bo20bo7b2o3bo$31b2ob2o7b2o20b2o7b2ob2o$28b2o4bo11b2o14b2o11bo4b2o$27bo2b2o12b2o2bo12bo2b2o12b2o2bo$28bobo14bobo14bobo14bobo$25b3o6b2o4b2o6b3o8b3o6b2o4b2o6b3o$24bo4b4ob2ob2ob2ob4o4bo6bo4b4ob2ob2ob2ob4o4bo$25bob2o4bo2bo2bo2bo4b2obo8bob2o4bo2bo2bo2bo4b2obo$25b2o22b2o8b2o22b2o$25bo3bo16bo3bo8bo3bo16bo3bo$23b2obobobo14bobobob2o4b2obobobo14bobobob2o$16b2o6bob2o3bo12bo3b2obo6bob2o3bo12bo3b2obo6b2o$13b2ob2ob2o5bob2o2bo4b2o4bo2b2obo10bob2o2bo4b2o4bo2b2obo5b2ob2ob2o$12bo2bo2bo2bo6bo2b2ob2ob2ob2ob2o2bo14bo2b2ob2ob2ob2ob2o2bo6bo2bo2bo2bo$10b3obobobobo10bobo2bo2bo2bobo20bobo2bo2bo2bobo10bobobobob3o$9bo2bob3ob3o10bo12bo20bo12bo10b3ob3obo2bo$10bo3bobo3bo8b2o14b2o16b2o14b2o8bo3bobo3bo$10b2obobobo2bo2b2o5bo14bo5b2o4b2o5bo14bo5b2o2bo2bobobob2o$8b2obo2bobo3b2ob2ob2obob2o10b2obob2ob2ob2ob2ob2obob2o10b2obob2ob2ob2o3bobo2bob2o$9bo4bobo3bobo2bo2b2obo12bob2o2bo2bo2bo2bo2b2obo12bob2o2bo2bobo3bobo4bo$14b3o3bo8bo16bo16bo16bo8bo3b3o$14bo3b2o70b2o3bo$12b2ob2o2bo70bo2b2ob2o$13bobo2bob2o66b2obo2bobo$15bob2obo68bob2obo$16bobo72bobo$16bo76bo$14b2o78b2o$8b2o5bo78bo5b2o$5b2ob2ob2obob2o74b2obob2ob2ob2o$4bo2bo2bo2b2obo76bob2o2bo2bo2bo$2b3obobobobobo80bobobobobob3o$bo2bob3ob3o84b3ob3obo2bo$2bo3bobo92bobo3bo$2b2obobobo3bo82bo3bobobob2o$2obo2bobo3bobo80bobo3bobo2bob2o$bo4bobo4bo82bo4bobo4bo$6b3o4bo82bo4b3o$6bobo3b2o82b2o3bobo$4b2obob2obob2o78b2obob2obob2o$5bobobo4bo80bo4bobobo$7b2obo88bob2o$9bo90bo$8bob3o2b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o2b3obo$7bo5bob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obo5bo$8b2o4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo4b2o$8bo3bo84bo3bo$6b2obobob84obobob2o$7bob2o88b2obo$9bob2o84b2obo$11bo86bo!
:Matthias Merzenich, 2024:B25/S246:B258/S02468:1:0:1:122:46:19b2o80b2o$16b2obobo78bobob2o$15bobo2bobo76bobo2bobo$10b2o2bobo3b2obo74bob2o3bobo2b2o$9bobobob2obo2bo78bo2bob2obobobo$8bobo2bo3b2ob2o78b2ob2o3bo2bobo$7bob2ob3o4b2o2b2o72b2o2b2o4b3ob2obo$9bo3bo4b4obobo70bobob4o4bo3bo$9b2o2bo3bo2b2o2bobo68bobo2b2o2bo3bo2b2o$7b3o3bo5bo4b2obo2b2o58b2o2bob2o4bo5bo3b3o$13bo5bo2bob3obobobo56bobobob3obo2bo5bo$6bo3bo2bo5bobo2bo3bo2bobo54bobo2bo3bo2bobo5bo2bo3bo$2b2o3bo3bobo2b2o3bo3bo5b2obo52bob2o5bo3bo3b2o2bobo3bo3b2o$bobobobobo3bobobobo3bobobobob3obo50bob3obobobobo3bobobobo3bobobobobo$obo3b3o2bo6b2obo2b3o2b2ob3obo48bob3ob2o2b3o2bob2o6bo2b3o3bobo$2b10obobo2bo2b8o4b3obo13b2o7b2o7b2o13bob3o4b8o2bo2bobob10o$3bo3bo4b2o2bo2b2o4bo3b4o2bo14bobob2o10b2obobo14bo2b4o3bo4b2o2bo2b2o4bo3bo$11b3o2bo2b2o3bobo3b2o2bo8b2o4bobo2bobo2bo2bo2bobo2bobo4b2o8bo2b2o3bobo3b2o2bo2b3o$12b11obo6b2obo13bob2ob2obobo4bobob2ob2obo13bob2o6bob11o$13b7o4bo6bo2bob2o4bo2bo6b2o4bo4bo4b2o6bo2bo4b2obo2bo6bo4b7o$14bobobo4b4o4b2o3bobo2bo4bobo2b4o3bo4bo3b4o2bobo4bo2bobo3b2o4b4o4bobobo$16bo5bo6b3o2bo2bobobo4bo2bob2o2bo2bo4bo2bo2b2obo2bo4bobobo2bo2b3o6bo5bo$27bobobo2b4o3bo4bo2bo3bo4bo4bo4bo3bo2bo4bo3b4o2bobobo$28b2ob4obo4bo2b7o2bo4bo4bo4bo2b7o2bo4bob4ob2o$28bo3bobo6bo9bobo4bo4bo4bobo9bo6bobo3bo$28b2o4b2obo3bobo9bo4bo4bo4bo9bobo3bob2o4b2o$26b3o6b3ob4o10bo4bo4bo4bo10b4ob3o6b3o$37b2obobo10bo4bo4bo4bo10bobob2o$25bo3bo6bobobob3o2b2o4bo4bo4bo4bo4b2o2b3obobobo6bo3bo$26bo3bo4bobo5bobobobo3bo4bo4bo4bo3bobobobo5bobo4bo3bo$24bobobo5bob2o2bo7bobo2bo4bo4bo4bo2bobo7bo2b2obo5bobobo$21b2ob2ob2o7bo2bo5bo2b2obobo4bo4bo4bobob2o2bo5bo2bo7b2ob2ob2o$24b3ob3o5b2obo6bo2bo3bo4bo4bo4bo3bo2bo6bob2o5b3ob3o$20bo2b3obobobo2b3o2bo4bobob2o3bo4bo4bo4bo3b2obobo4bo2b3o2bobobob3o2bo$21bob2o3bobobobobo2bo3bo2bo2b3obob2obob2obob2obob3o2bo2bo3bo2bobobobobo3b2obo$21bo3b4o2b3o2b6obo2bo6bo4bo4bo4bo6bo2bob6o2b3o2b4o3bo$18b2o4b2o3b7o7bo2bobo3b3o2b3o2b3o2b3o3bobo2bo7b7o3b2o4b2o$17bobobobo6bo3bo7b6o5bo4bo4bo4bo5b6o7bo3bo6bobobobo$16bobo2b4o18bobobobo3bo14bo3bobobobo18b4o2bobo$18b3o2bo21bob2o4bo14bo4b2obo21bo2b3o$19bo28bobo2bo14bo2bobo28bo$47b2o2bo3b2o8b2o3bo2b2o$48b2obobobobo6bobobobob2o$50b3o3bobo4bobo3b3o$49b8o8b8o$48bo2bo3bo10bo3bo2bo!

There were some fairly good side-to-side partial results in B2478/S013678 at width 39 and above using llsss-recentering-wao, but my laptop has pretty limited memory, so I wasn't able to search very far. I do suspect that there is a ship in that rule, and perhaps ships in all the rules in the range B24(678)/S013(678), similar to the new B2467(8)/S(01)3(78) ship above.

I also managed to find a ship in B248/S0134678, but not in the related unsolved rules in the range B248/S01346(78).

Edit: a very large p1 photon in B256/S02357 (found with LLSSS):

Code: Select all

x = 476, y = 46, rule = B256/S02357
8b2o31b2o6b2o374b2o6b2o31b2o$45b2o382b2o$7bo2bo3b2o18b2o4bo2bob2obo2bo
372bo2bob2obo2bo4b2o18b2o3bo2bo$6bo4bo6b2o5b2o14bob2o2b2obo374bob2o2b
2obo14b2o5b2o6bo4bo$3b2obo4bobo2bob2ob2o6b2o2bo2bo4b2ob4ob2o109b2o8b2o
132b2o8b2o109b2ob4ob2o4bo2bo2b2o6b2ob2obo2bobo4bob2o$6bob2obo2bob3o2b
2obo2bob2obo4bo3bo3b2o3bo128b2o5b2o100b2o5b2o128bo3b2o3bo3bo4bob2obo2b
ob2o2b3obo2bob2obo$2bo2b2o4b2ob5o3b2o4b2o2bo4bob4ob4ob4o25b2o74b2o3bo
2bo2b2o2bo2bo2b2o18b2o82b2o18b2o2bo2bo2b2o2bo2bo3b2o74b2o25b4ob4ob4obo
4bo2b2o4b2o3b5ob2o4b2o2bo$3bobob7obob2o3b2o4b2o4b2obo3b10o4b2o30b2o8b
2o8b2o8b2o8b2o8b2o8b2o9bo4bob2obo4bob2obo2bo3bo2bo2b2o90b2o2bo2bo3bo2b
ob2obo4bob2obo4bo9b2o8b2o8b2o8b2o8b2o8b2o8b2o30b2o4b10o3bob2o4b2o4b2o
3b2obob7obobo$bob2ob5obo3bob3o2b3o2b2o4b2o4bobobo2bobobo10b2o13bo2bo2b
2o68bo2bobo4b2o2b2o4b2o2b2obo3bo4bob2obo2bo80bo2bob2obo4bo3bob2o2b2o4b
2o2b2o4bobo2bo68b2o2bo2bo13b2o10bobobo2bobobo4b2o4b2o2b3o2b3obo3bob5ob
2obo$2b3o2bo2bob6o2bob2o4b2ob2ob2o7bo4bo5bo2bo11b2o5bo4bob2obo2bo2b2o
2bo2bo2b2o2bo2bo2b2o2bo2bo2b2o2bo2bo2b2o2bo2bo2b2o2bo2bo2bo4b2o4bo4bo
4bo4bo3bobo4bo2b3obo3b2o25b2o8b2o8b2o25b2o3bob3o2bo4bobo3bo4bo4bo4bo4b
2o4bo2bo2bo2b2o2bo2bo2b2o2bo2bo2b2o2bo2bo2b2o2bo2bo2b2o2bo2bo2b2o2bo2b
ob2obo4bo5b2o11bo2bo5bo4bo7b2ob2ob2o4b2obo2b6obo2bo2b3o$2b3o3b2ob3ob2o
2b3ob2obob2o4b2ob2obo2bo4bo2bobo4bo2bo2bo8b2obo4bo2b2o4bob2obo4bob2obo
4bob2obo4bob2obo4bob2obo4bob2obo4bobo4b4o2bo4bo4bo4bo3b3o4bo3bob2obob
2ob2o5b2o8b2o32b2o8b2o5b2ob2obob2obo3bo4b3o3bo4bo4bo4bo2b4o4bobo4bob2o
bo4bob2obo4bob2obo4bob2obo4bob2obo4bob2obo4b2o2bo4bob2o8bo2bo2bo4bobo
2bo4bo2bob2ob2o4b2obob2ob3o2b2ob3ob2o3b3o$2b2o2bobob2obobob4o3bob2o2b
5o2b2o2bobob2o3bo2bo4bobo4bo2bo2bob2o3b2o4b2o4b2o2b2o4b2o2b2o4b2o2b2o
4b2o2b2o4b2o2b2o4b2o2b2o4bo3b2o2bo4bob2o3b2o3b2o3b7o2bo4b2ob4o2b2ob2o
18bo2bo2b2o2bo2bo2b2o2bo2bo18b2ob2o2b4ob2o4bo2b7o3b2o3b2o3b2obo4bo2b2o
3bo4b2o2b2o4b2o2b2o4b2o2b2o4b2o2b2o4b2o2b2o4b2o2b2o4b2o4b2o3b2obo2bo2b
o4bobo4bo2bo3b2obobo2b2o2b5o2b2obo3b4obobob2obobo2b2o$2b3ob2obo2bobobo
b4ob3ob7o2b2o3bo3b2obobo4b2o3bo4bobo4b2o4b2o4b2o4bo4bo4bo4bo4bo4bo4bo
4bo4bo4bo4bo4bo4bo3b2o3bobo3b2obob2obob2obobo3bo4bo2bo2b2o2bo2b2o2b2ob
o2bo2b2o2bo2bo2bo4bob2obo4bob2obo4bo2bo2bo2b2o2bo2bob2o2b2o2bo2b2o2bo
2bo4bo3bobob2obob2obob2o3bobo3b2o3bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo
4bo4b2o4b2o4b2o4bobo4bo3b2o4bobob2o3bo3b2o2b7ob3ob4obobobo2bob2ob3o$2b
4ob5ob3obob6o3b2ob2ob4o3bo4b2o2bo4b2obo3b2o3bo4b2o4b2o4b2o4bo4bo4bo4bo
4bo4bo4bo4bo4bo4bo4bo4bo4bo3b2o3b3o4b3o2b2o3b4obo3bobo3bo2b2o2bo3bo4b
2o4bob2obo4bobo4b2o2b2o4b2o2b2o4bobo4bob2obo4b2o4bo3bo2b2o2bo3bobo3bob
4o3b2o2b3o4b3o3b2o3bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4b2o4b2o4b2o
4bo3b2o3bob2o4bo2b2o4bo3b4ob2ob2o3b6obob3ob5ob4o$2b2ob2o3b3o2b2obob8ob
obobob3o3bo4b2o4b2o2b3obob2obo3b2ob2o4b2o4b2o4bo4bo4bo4bo4bob2o3b2o3b
2obo4bo4bo4bo4bo4bo3b2ob7ob2obo3b5ob2o5b3obobo2bo3bo3bo4b2o4b2o2b2o4b
3o4bo4bo4bo4bo4b3o4b2o2b2o4b2o4bo3bo3bo2bobob3o5b2ob5o3bob2ob7ob2o3bo
4bo4bo4bo4bo4bob2o3b2o3b2obo4bo4bo4bo4bo4b2o4b2o4b2ob2o3bob2obob3o2b2o
4b2o4bo3b3obobobob8obob2o2b3o3b2ob2o$3obo2b3obo4b4ob2o3bobob3obob2o3bo
4b2o4b2o3bob3o2b2obob2o2b3o2b2o4b2o4b3o2bo4bo4bob2o3b2obob2obob2o3b2ob
o4bo4bo4bo4bo3b2o3bo3b4obo3b2ob2obo2bob6o2bo2bo3bo3bo4b2o4bo4bo4bobo4b
o4bo4bo4bo4bobo4bo4bo4b2o4bo3bo3bo2bo2b6obo2bob2ob2o3bob4o3bo3b2o3bo4b
o4bo4bo4bob2o3b2obob2obob2o3b2obo4bo4bo2b3o4b2o4b2o2b3o2b2obob2o2b3obo
3b2o4b2o4bo3b2obob3obobo3b2ob4o4bob3o2bob3o$2b2ob6o6bo2b4o3b3o2b2obob
3obo4b2o4b2o3b2o2b4ob3o2b3o4b2o4b2o4bo4bob2o3b2o3b2obo2b4o2b4o2bob2o3b
2obo4bo4bo4bob3o3bo3bo4b2ob3obob2ob5o3bo2b2o2bo3bo3b3o2b2o4bo4bo4bobo
4bo4bo4bo4bo4bobo4bo4bo4b2o2b3o3bo3bo2b2o2bo3b5ob2obob3ob2o4bo3bo3b3ob
o4bo4bo4bob2o3b2obo2b4o2b4o2bob2o3b2o3b2obo4bo4b2o4b2o4b3o2b3ob4o2b2o
3b2o4b2o4bob3obob2o2b3o3b4o2bo6b6ob2o$bo2b3ob3o7bo2bobobob2o4b2ob2o3bo
4b2o4b2o3bo2b2o2b2o2b5o3bob2o4b2o2b4obo3b2obob2obo2b6ob2o2b2ob6o2bob2o
3b2o3b2obob2o3b2o2bobobobo2b3ob2o2bobo2b3o3bo3b7o3bo3bo4b2o4bo4bob2o5b
2o3b2o3b2o3b2o3b2o5b2obo4bo4b2o4bo3bo3b7o3bo3b3o2bobo2b2ob3o2bobobobo
2b2o3b2obob2o3b2o3b2obo2b6ob2o2b2ob6o2bob2obob2o3bob4o2b2o4b2obo3b5o2b
2o2b2o2bo3b2o4b2o4bo3b2ob2o4b2obobobo2bo7b3ob3o2bo$5bobob2o7bo3bob3o7b
2o2bo2bo4b2o4b2o3bo2bo4b3o2b4obo2b2o4b2o4b4obo2b3o2b3ob2ob2o2bob4obo2b
2ob2ob3o2bob2obob2o3b2o3b7o2b2o4b2o2b7o5b2obobo4b4o3b4o3b2ob2o3b2o3b2o
bobob2o3b2obob2obob2o3b2obobob2o3b2o3b2ob2o3b4o3b4o4bobob2o5b7o2b2o4b
2o2b7o3b2o3b2obob2obo2b3ob2ob2o2bob4obo2b2ob2ob3o2b3o2bob4o4b2o4b2o2bo
b4o2b3o4bo2bo3b2o4b2o4bo2bo2b2o7b3obo3bo7b2obobo$6bob3o7bo3bo2b2o2bo5b
2o4bo4b2o4b2o3bo2bo4b2ob2ob5o2b2ob2ob2obob6o2b2obo3bob3obob2ob2o2b2ob
2obob3obo3b2o2b4o5b3o2bo2b4o2bobobo2b2ob2ob2ob2obobob3ob2o5bobobo2bob
3o2b2obob2obo2b3ob3o2b3o2b2o2b2o2b3o2b3ob3o2bob2obob2o2b3obo2bobobo5b
2ob3obobob2ob2ob2ob2o2bobobo2b4o2bo2b3o5b4o2b2o3bob3obob2ob2o2b2ob2obo
b3obo3bob2o2b6obob2ob2ob2o2b5ob2ob2o4bo2bo3b2o4b2o4bo4b2o5bo2b2o2bo3bo
7b3obo$4bobo2bo2b2o4bo3b5obo7bo4bo4b2o4b2o3bo2bo2b3ob4ob7o2b2o2b3obob
2ob5obo3b2o3bob5o4b5obo3bo4bo4b3o3bo2b2o3b2ob5ob2ob6obobobobob2obo2b2o
bobob2ob3ob2ob2o2b3o2b2o2b2o3bobobo3b2o2b3o2b3o2b2o3bobobo3b2o2b2o2b3o
2b2ob2ob3ob2obobob2o2bob2obobobobob6ob2ob5ob2o3b2o2bo3b3o4bo4bo3bob5o
4b5obo3b2o3bob5ob2obob3o2b2o2b7ob4ob3o2bo2bo3b2o4b2o4bo4bo7bob5o3bo4b
2o2bo2bobo$5b2o2b2ob2ob2o3b4o3b2o7bo4bo4b2o4b2o3bo2bo4b2o4bob2ob2o2b2o
4bobobobob2o3b2o3bo4bo2bobo6bobo2bo3bo4bo6b3ob5obobobob3ob2ob3o4bobobo
bobob2ob2o2bob2ob4o2b4o2b4o2b3o3bo4bob2o3b7o2b7o3b2obo4bo3b3o2b4o2b4o
2b4ob2obo2b2ob2obobobobobo4b3ob2ob3obobobob5ob3o6bo4bo3bo2bobo6bobo2bo
4bo3b2o3b2obobobobo4b2o2b2ob2obo4b2o4bo2bo3b2o4b2o4bo4bo7b2o3b4o3b2ob
2ob2o2b2o$5b8o2b2obobo7bo7bo4bo4b2o4b2o3bo2bobo3b5obobobob4o4b2ob3obo
6bo3bo4bo3bo8bo3bo3bo4bo5bo2b2ob2ob4obob3obo2bo5b2ob3ob3obo2b8obo4bo2b
ob3ob8o3bo2bobo2bo3b3o3b4o3b3o3bo2bobo2bo3b8ob3obo2bo4bob8o2bob3ob3ob
2o5bo2bob3obob4ob2ob2o2bo5bo4bo3bo3bo8bo3bo4bo3bo6bob3ob2o4b4obobobob
5o3bobo2bo3b2o4b2o4bo4bo7bo7bobob2o2b8o$5b3o5b3o2b2obo2bo3bo7bo4bo4b2o
4b2o3bo2b3obo2b7ob3ob3o4bo2b2o2bo2bo3bo3bo4bo3bo8bo3bo3bo4bo9b2obob3o
2bo2bob4ob2obobob2o2b2o2b3o2bob2o3bob3o3b2ob2ob3ob2ob2o3bo3b2o2bo3b2ob
o3b2o3bob2o3bo2b2o3bo3b2ob2ob3ob2ob2o3b3obo3b2obo2b3o2b2o2b2obobob2ob
4obo2bo2b3obob2o9bo4bo3bo3bo8bo3bo4bo3bo3bo2bo2b2o2bo4b3ob3ob7o2bob3o
2bo3b2o4b2o4bo4bo7bo3bo2bob2o2b3o5b3o$5b2ob7o3bo2bobo4bo7bo4bob2ob2ob
2ob2o3b12o4b2o2b2ob2o4bo3bo4bo4bo3bo4bo3bo8bo3bo3b3o2bo10b2ob2o8bo2b3o
bob2obo2b2o2b2o2bob2obob8obobob2ob2obobobob3o3bob5ob3ob2obo4bob2ob3ob
5obo3b3obobobob2ob2obobob8obob2obo2b2o2b2o2bob2obob3o2bo8b2ob2o10bo2b
3o3bo3bo8bo3bo4bo3bo4bo4bo3bo4b2ob2o2b2o4b12o3b2ob2ob2ob2obo4bo7bo4bob
o2bo3b7ob2o$3b3obobobo6bo4bo4bo5b3ob2obo4b2o4b2ob4o3bob2o8b3o2bob3o2bo
3bo4bo4bo3b3o2bo3bob2o5bo3bo3bo4bo2b2o7b2o2bo7bo5bobob2ob10ob4ob4o4b4o
bo2bo2bobobobo2bobob3ob2ob2o2b2ob8ob2o2b2ob2ob3obobo2bobobobo2bo2bob4o
4b4ob4ob10ob2obobo5bo7bo2b2o7b2o2bo4bo3bo3bo5b2obo3bo2b3o3bo4bo4bo3bo
2b3obo2b3o8b2obo3b4ob2o4b2o4bob2ob3o5bo4bo4bo6bobobob3o$5b2ob2ob2o2bo
2bo6b2o3b2o4bo4b5o2b4o2b2o5b2obobo2bo4b2ob2ob2o4bo3bo4bo4bo3bo4b3obo5b
2o3b3ob4obobo11b2o10bo3b4ob2o2bo4b4ob2obo2b3ob4o3b5ob8ob2ob6obob2o4b2o
2b4o2b2o4b2obob6ob2ob8ob5o3b4ob3o2bob2ob4o4bo2b2ob4o3bo10b2o11bobob4ob
3o3b2o5bob3o4bo3bo4bo4bo3bo4b2ob2ob2o4bo2bobob2o5b2o2b4o2b5o4bo4b2o3b
2o6bo2bo2b2ob2ob2o$4bo2b2obobobo3b3o4b2obob2obobob4ob12o2b2obobobob2ob
o3b3obobo2b2obobob3ob2o3b2o3b4obobo3b2o2bob2o3b2ob2o2bob3obo2bo3b2ob2o
5b2o3bo5b2o2b3ob2o4b3o2bo3b2ob8o3b5o3bo2b5o4b2ob2o6b3ob2ob3o6b2ob2o4b
5o2bo3b5o3b8ob2o3bo2b3o4b2ob3o2b2o5bo3b2o5b2ob2o3bo2bob3obo2b2ob2o3b2o
bo2b2o3bobob4o3b2o3b2ob3obobob2o2bobob3o3bob2obobobob2o2b12ob4obobob2o
bob2o4b3o3bobobob2o2bo$8b2obob2obobo4b3o2b2o2b2o3bobobob2ob2ob2ob4ob4o
b4ob2obobo2bob3o2bo2b2o3bo4bob2obobo2bob2ob3obobo2b2ob3obo2b2ob5o4bo5b
2ob2o7bo4bob2o2b3obobobobo3bobob3o3b3obo10bo4bobo6b3o7b2ob4ob2o7b3o6bo
bo4bo10bob3o3b3obobo3bobobobob3o2b2obo4bo7b2ob2o5bo4b5ob2o2bob3ob2o2bo
bob3ob2obo2bobob2obo4bo3b2o2bo2b3obo2bobob2ob4ob4ob4ob2ob2ob2obobobo3b
2o2b2o2b3o4bobob2obob2o$9b2ob2ob3obobobo2b4o3bo3bob2obobobobobobob3o3b
3o3b2ob3ob4o2bob3ob3obob7o2b2ob2obob6ob2o2b2o3b2ob6ob3o4bobo2b2o2b2obo
2bo2bo7bo5bob2ob2o2bob3o2bo6bobo2bo2b2obobo5bo7b3o7b3o4b3o7b3o7bo5bobo
b2o2bo2bobo6bo2b3obo2b2ob2obo5bo7bo2bo2bob2o2b2o2bobo4b3ob6ob2o3b2o2b
2ob6obob2ob2o2b7obob3ob3obo2b4ob3ob2o3b3o3b3obobobobobobob2obo3bo3b4o
2bobobob3ob2ob2o$9b2o2b2o2b3ob2ob2ob3o3bo3b2ob2obob3ob3obobo2b2o3b2o2b
2o2b2ob2o2b3ob4obob6o3b2ob5obo4bo2b5o3b2o2bo5bob2ob2obo2bobo4b2o4bo3b
2obo2bobo2b4obob11o3bobob2o3bob2o2b2o5bo7b2o2b2o4b3o4b3o4b2o2b2o7bo5b
2o2b2obo3b2obobo3b11obob4o2bobo2bob2o3bo4b2o4bobo2bob2ob2obo5bo2b2o3b
5o2bo4bob5ob2o3b6obob4ob3o2b2ob2o2b2o2b2o3b2o2bobob3ob3obob2ob2o3bo3b
3ob2ob2ob3o2b2o2b2o$7b3o2b2o4bobob5ob2o3bo3bo3b2ob2o2b2o2b3o3b7o3b3o2b
7o6bobobob2ob6o5b6o2b2ob2o2bobo2b3o2b2ob3o4b2o3bo4b2o4bobob2o2bobo2bob
o3bobo2b2obo3b4ob3o2bobo4b2o2bo5b3o5b3ob2ob2o2b2o4b2o2b2ob2ob3o5b3o5bo
2b2o4bobo2b3ob4o3bob2o2bobo3bobo2bobo2b2obobo4b2o4bo3b2o4b3ob2o2b3o2bo
bo2b2ob2o2b6o5b6ob2obobobo6b7o2b3o3b7o3b3o2b2o2b2ob2o3bo3bo3b2ob5obobo
4b2o2b3o$9b5o5b3o5bob3o3b4o3b3o4b2o2b2o3b3ob3o3b2ob2o4b4o2b5ob2obob4ob
o2b4o2b8obob9obob3o3b4obo5b2ob2ob2ob5o3bo4b2ob8obob2o5b10obo2b7o3bo4b
2o2bob2o2b2ob3o4b3ob2o2b2obo2b2o4bo3b7o2bob10o5b2obob8ob2o4bo3b5ob2ob
2ob2o5bob4o3b3obob9obob8o2b4o2bob4obob2ob5o2b4o4b2ob2o3b3ob3o3b2o2b2o
4b3o3b4o3b3obo5b3o5b5o$8bo2b3o3bo2b2o3b2obo2bobobo2bobo2bo5b4ob3ob2obo
b2ob3ob5o4bobob3o2b2ob3o3bob2ob6ob2ob2ob2obob2ob2o6b3o3bobob4obo4b2o4b
ob3o3b2obobo2bob2ob2obobobobob2o4bo2b4o3b3o2b2ob4obob2o3b2o4b5o4b5o4b
2o3b2obob4ob2o2b3o3b4o2bo4b2obobobobob2ob2obo2bobob2o3b3obo4b2o4bob4ob
obo3b3o6b2ob2obob2ob2ob2ob6ob2obo3b3ob2o2b3obobo4b5ob3ob2obob2ob3ob4o
5bo2bobo2bobobo2bob2o3b2o2bo3b3o2bo$13b3ob3ob3ob3ob2ob3ob2ob2ob2o5b3ob
2o3b3ob3o3b2o4bobo3b2o2b3o2b2o2b4obobo2b2ob3obobobo2b3obobob2o2bo2b2o
3bob2o2b2ob5o2b4obob2ob7ob2obobobob5ob2obob2o3b2ob3o3b2ob2ob3o2bo2b2o
2bob2o5bob2ob2ob2obo5b2obo2b2o2bo2b3ob2ob2o3b3ob2o3b2obob2ob5obobobob
2ob7ob2obob4o2b5ob2o2b2obo3b2o2bo2b2obobob3o2bobobob3ob2o2bobob4o2b2o
2b3o2b2o3bobo4b2o3b3ob3o3b2ob3o5b2ob2ob2ob3ob2ob3ob3ob3ob3o$12bo2b2ob
3o2b3ob6o2b5ob5o3b2obo2bo3bo3bo3bo2b4ob2obob10o4b6ob2obobob2obobob3o2b
3ob3obo2b3o3b2ob3ob2ob11obob3o5b7obob2o3b3obobobobobobob2ob3ob4o3b2ob
3o3b3o2b2ob2obo6bob2ob2o2b3o3b3ob2o3b4ob3ob2obobobobobobob3o3b2obob7o
5b3obob11ob2ob3ob2o3b3o2bob3ob3o2b3obobob2obobob2ob6o4b10obob2ob4o2bo
3bo3bo3bo2bob2o3b5ob5o2b6ob3o2b3ob2o2bo$16b2obo2bo3bo6bo2bobo3bob2ob3o
b3o5b2ob2o5b7ob3o3b3ob2o2bob3obo2b4obobo2b7o4b2o2bo2b6o3bo3b3o2bob2ob
2ob2ob4o3bo3bo6b4o2b3o3b5ob5ob3o3b2o4b6ob2o3bob2ob2obobob6obobob2ob2ob
o3b2ob6o4b2o3b3ob5ob5o3b3o2b4o6bo3bo3b4ob2ob2ob2obo2b3o3bo3b6o2bo2b2o
4b7o2bobob4o2bob3obo2b2ob3o3b3ob7o5b2ob2o5b3ob3ob2obo3bobo2bo6bo3bo2bo
b2o$17b2o3bo3bo4b3ob2ob2ob2obo2bo2bo2bobob9obobob2obo3b2o5bobob3obobob
2o2bob7o2bo5bob3o3b2ob2ob2ob4o5b2obobobobobob3o14bo3b10o3b3o3b2o3b3o2b
4obo4b3o3bob3o2b3ob8ob3o2b3obo3b3o4bob4o2b3o3b2o3b3o3b10o3bo14b3obobob
obobob2o5b4ob2ob2ob2o3b3obo5bo2b7obo2b2obobob3obobo5b2o3bob2obobob9obo
bo2bo2bo2bob2ob2ob2ob3o4bo3bo3b2o$17b2obobob3ob2ob2ob4obobobob2ob2ob2o
b4o7b4obobob2ob3o4bobob3obobob6ob3ob2ob2o3b8obobobobobo2bo2bobob5obobo
bobob2o19bo2b3ob3o3bo3bo3b14o3b3ob3o4bo3b2o2b3o2b3o2b2o3bo4b3ob3o3b14o
3bo3bo3b3ob3o2bo19b2obobobobob5obobo2bo2bobobobobob8o3b2ob2ob3ob6obobo
b3obobo4b3ob2obobob4o7b4ob2ob2ob2obobobob4ob2ob2ob3obobob2o$15b3o2b3o
3bo4b3o4bobob13o3bo5bo3b4obobobob3o4bo2bob5o4b3o2bobobobobob3o4b4obobo
bob2ob2ob4o4b9o2bo23bobo14b3ob3o3b3obobo2bo2bobob2o3b5o6b5o3b2obobo2bo
2bobob3o3b3ob3o14bobo23bo2b9o4b4ob2ob2obobobob4o4b3obobobobobo2b3o4b5o
bo2bo4b3obobobob4o3bo5bo3b13obobo4b3o4bo3b3o2b3o$17b9ob4o3b4ob4o12bo
11bo3b4obobo2bobob2o2b2o2bo2b2o5b2obobobob4o5bo3b4ob10o3bo4b3ob3o26bob
obo15bobo7b4ob2ob2ob7ob3o2bo4bo2b3ob7ob2ob2ob4o7bobo15bobobo26b3ob3o4b
o3b10ob4o3bo5b4obobobob2o5b2o2bo2b2o2b2obobo2bobob4o3bo11bo12b4ob4o3b
4ob9o$16bo2b3ob17o3bo26bo3b4ob2ob9o3b2obobob7ob4o3bo7bo3b3o9bo9bobo30b
o16bobobo5bo3b9o5b3o14b3o5b9o3bo5bobobo16bo30bobo9bo9b3o3bo7bo3b4ob7ob
obob2o3b9ob2ob4o3bo26bo3b17ob3o2bo$21bobo5b3ob3o4bo32bo3b6o5b3obobobob
4o5b3o3bo13bo3bo17bobobo48bo10bo9bo3bo3bo12bo3bo3bo9bo10bo48bobobo17bo
3bo13bo3b3o5b4obobobob3o5b6o3bo32bo4b3ob3o5bobo$20bobobo6bobo42bo6bo6b
4ob4o3bo3bo3bo40bo172bo40bo3bo3bo3b4ob4o6bo6bo42bobo6bobobo$22bo7bobob
o54bo3b3o3bo276bo3b3o3bo54bobobo7bo$32bo59bo3bo282bo3bo59bo!

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:Matthias Merzenich, 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Edit 2: Keith Amling has found a p1 photon in B26(8)/S02567. Here's the database entry for a variant with the same bounding box, but a slightly smaller population:

Code: Select all

:Keith Amling, 2024:B26/S2567:B2678/S025678:1:-1:0:47:99:37bo$36bo$35bob2o4bo$35b5o2bo$37bobobob2o$33bob2o2b7o$32bo3b9o$31bob7o$31b6o5b2o$14bo18bo5b2o2b2o$12bo2b18o3b2o2b4o$7bo4bo20b2o2b6o$6bo7b2o15b9o$5bob2o6b2o14bob5o4b2o$5b11o16bo6b2o2b2o$7b8o5bo12bob2o3b4o$6b2o11bo16b7o$4bo9b2o2bob21o$4bo2b2o4bo4b19o5b2o$6bo6b2o5bo17b2o3b2o$8b2o5b5o11b2ob2o3b5o$9b11o10bo4b8o$7b9o3bo9bob9o$7bob2o7b2o9b7o6b2o$8bo5b3o3bo10bobo5bobo$9bo3bo4b12obo2bo3bo4b2o$5bo6bob2o3b13o5bobo4b2o$4bo7b8o8b4o5b8o$3bob2o7b5o5bob2o4bo6b5o$3b10obobo6bo3bo2b8obobo$5b10o2bo4bob4o2bob8o2bo$4b2o6b2o8b6o3bo2b2ob3o$2bo7b2o12b2obo4b2o3bobo$o2b2o5bo3b10o3bo6b4o2bo$o10bobo10b13o$2b2o18b12o$3b9o6bo3bob2o10b2o$b12o4bo5bo9bobo$bob2o7b2o2bob2o4bo7bo4b2o$2bo8b2o3b5o10bobo4b2o$3bo5bo8b2o11b8o$9bo2b6o15b5o$11bo6b15o$16b17o2b2o$16bob2o13bo2b2o$17bo13b6o$18bo12bob3o$32bo$33b2o2$34b2o$33bo$19bo12bob3o$18bo13b6o$17bob2o13bo2b2o$17b17o2b2o$12bo6b15o$10bo2b6o15b5o$6bo3bo8b2o11b8o$5bo6b2o3b5o10bobo4b2o$4bob2o5b2o2bob2o4bo7bo4b2o$4b10o4bo5bo9bobo$6b7o6bo3bob2o10b2o$5b2o16b12o$3bo8bobo10b13o$bo2b2o5bo3b10o3bo6b4o2bo$bo9b2o12b2obo4b2o3bobo$3b2o8b2o8b6o3bo2b2ob3o$4b12o2bo4bob4o2bob8o2bo$2b12obobo6bo3bo2b8obobo$2bob2o9b5o5bob2o4bo6b5o$3bo9b8o8b4o5b8o$4bo8bob2o3b13o5bobo4b2o$10bo3bo4b12obo2bo3bo4b2o$9bo5b3o3bo10bobo5bobo$8bob2o7b2o9b7o6b2o$8b9o3bo9bob9o$10b11o10bo4b8o$9b2o5b5o11b2ob2o3b5o$7bo6b2o5bo17b2o3b2o$5bo2b2o4bo4b19o5b2o$5bo9b2o2bob21o$7b2o11bo16b7o$8b8o5bo12bob2o3b4o$6b11o16bo6b2o2b2o$6bob2o6b2o14bob5o4b2o$7bo7b2o15b9o$8bo4bo20b2o2b6o$13bo2b18o3b2o2b4o$15bo18bo5b2o2b2o$32b6o5b2o$32bob7o$33bo3b9o$34bob2o2b7o$38bobobob2o$36b5o2bo$36bob2o4bo$37bo$38bo!

Edit 3: here's a p1 photon in B2478/S013678 built using several components found in different searches:

Code: Select all

x = 394, y = 58, rule = B2478/S013678
196b2o$193b2ob2ob2o$192bo2bo2bo2bo$191bo10bo$185b2o2b3o10b3o2b2o$182b
2ob2obo2bo10bo2bob2ob2o$181bo2bo2bo3bo10bo3bo2bo2bo$180bo8bo2b2o6b2o2b
o8bo$178b3o8bo2bo8bo2bo8b3o$177bo2bo8b2o12b2o8bo2bo$178bo3b2o3b2obo12b
ob2o3b2o3bo$178b2ob2o5bobo12bobo5b2ob2o$175b2o4bo8b2o10b2o8bo4b2o$174b
o2b2o36b2o2bo$175bobo11bo2bo8bo2bo11bobo$172b3o6b2o4b8o4b8o4b2o6b3o$
171bo4b4ob2ob2ob8ob2ob8ob2ob2ob4o4bo$172bob2o4bo2bo2bo8bo2bo8bo2bo2bo
4b2obo$172b2o46b2o$13b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o3bo44bo3b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$10b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2bo46bo2b2o
b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2o$9bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b3o46b3o2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo$8bo164bo46bo164bo$9b163o3b2o40b2o3b163o$9bobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obob2ob2o42b2ob2obobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobo$9bo2b45ob35ob21ob55o3bo44bo3b
55ob21ob35ob45o2bo$8b2ob6ob3ob7ob11ob3ob3ob5o2bo2b5ob7ob3ob5ob3ob3o2bo
2b7ob3ob5o2bo2b5ob11ob3ob3ob3ob5ob9ob5o2bo50bo2b5ob9ob5ob3ob3ob3ob11ob
5o2bo2b5ob3ob7o2bo2b3ob3ob5ob3ob7ob5o2bo2b5ob3ob3ob11ob7ob3ob6ob2o$13b
5o3b9o11b14o5b17o2b3o2b7o5b8o3b6o5b18o3b5o4b5o2b8o2b3o2bo52bo2b3o2b8o
2b5o4b5o3b18o5b6o3b8o5b7o2b3o2b17o5b14o11b9o3b5o$9b2o2b4o5b7o13b4o4b6o
bob5o2b6o5bob3obo5b3obob8obobo2b5obob5o2b11o5b3o4bo5bob7obob3ob2o52b2o
b3obob7obo5bo4b3o5b11o2b5obob5o2bobob8obob3o5bob3obo5b6o2b5obob6o4b4o
13b7o5b4o2b2o$6b2ob2ob5obo4b5o12bob4o4b5ob3ob4o2b6o6bo3bo6b2ob3ob9o2bo
2b3ob3ob16o7bo4bo7bob6o2bo3bobo52bobo3bo2b6obo7bo4bo7b16ob3ob3o2bo2b9o
b3ob2o6bo3bo6b6o2b4ob3ob5o4b4obo12b5o4bob5ob2ob2o$5bo2bo2bob3obobo4b3o
12bobob4o2b14ob2ob6o5bobobo5b14o5b2ob12o2b9o9bob3o7bob5obo7bo4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4bo7bob5obo7b3obo9b9o2b12ob2o5b14o5bobobo5b6ob
2ob14o2b4obobo12b3o4bobob3obo2bo2bo$4bo8b3obob3obo13b3obob2o6b3o2b7o4b
4o4b2o2bobo2b2o4b4o2b6obo3bobo5b17o10b2o2bo7b9o4bobo2b2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2bobo4b9o7bo2b2o10b17o5bobo3bob6o2b
4o4b2o2bobo2b2o4b4o4b7o2b3o6b2obob3o13bob3obob3o8bo$2b3o9b4o3b2o4bo7b
3o3b4ob4ob11obo2bob5obo2b2obob2o2bob13obobo2bo7b7o2b7o11bo3bo4b2o3b5o
3b2obo2b2o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b2o2bob2o3b
5o3b2o4bo3bo11b7o2b7o7bo2bobob13obo2b2obob2o2bob5obo2bob11ob4ob4o3b3o
7bo4b2o3b4o9b3o$bo2bo2b2o8bob5ob5o2b2ob5obo3bo4bob2o2b6o2bob4o2b2o13b
2o2b3o2b5obob3o6b2ob6o2b6o10b2obob2o5b2o2b5o2b2o3bo56bo3b2o2b5o2b2o5b
2obob2o10b6o2b6ob2o6b3obob5o2b3o2b2o13b2o2b4obo2b6o2b2obo4bo3bob5ob2o
2b5ob5obo8b2o2bo2bo$2bo3bo2bo3bo3bob3o3b5obo2bob4obo10b2o2b5obo2bob8ob
o2b3o2bob17o3bo7bo2b4ob2ob4o12bob2obo6bob7obo3b2o2b52o2b2o3bob7obo6bob
2obo12b4ob2ob4o2bo7bo3b17obo2b3o2bob8obo2bob5o2b2o10bob4obo2bob5o3b3ob
o3bo3bo2bo3bo$2b2ob2obo3bobo2b5o2bob3obo5b6o7bobo2b2o6b2o3b7ob5ob5ob7o
2b6obo2bo11b3o4b3o15bo2bo10b3o10bo52bo10b3o10bo2bo15b3o4b3o11bo2bob6o
2b7ob5ob5ob7o3b2o6b2o2bobo7b6o5bob3obo2b5o2bobo3bob2ob2o$2obo5b4ob3ob
5ob5obo6b3o3b2o2b4o10bobo4b26o2b8ob2o14bo2bo22b2o6b7o6b2o54b2o6b7o6b2o
22bo2bo14b2ob8o2b26o4bobo10b4o2b2o3b3o6bob5ob5ob3ob4o5bob2o$bo4b2o4bob
o3b4obob6o7b2ob2o2bob5obo2bo2b3obo5b5o20b2o7bobob2o7b3obo4bob3o17bo5b
3ob3ob3o5bo54bo5b3ob3ob3o5bo17b3obo4bob3o7b2obobo7b2o20b5o5bob3o2bo2bo
b5obo2b2ob2o7b6obob4o3bobo4b2o4bo$7b2o3bobo2bob3o3b5ob2o7bo5bob3ob8o3b
2o5b4o29bo3bo7bo3b2o4b2o3bo14b2obob2ob11ob2obob2o50b2obob2ob11ob2obob
2o14bo3b2o4b2o3bo7bo3bo29b4o5b2o3b8ob3obo5bo7b2ob5o3b3obo2bobo3b2o$8bo
b2o2b2ob4obobob4obo7bobo4bo2b13obobo5b4o17b3o6b2o13bobobo4bobobo16bob
2o2bo11bo2b2obo52bob2o2bo11bo2b2obo16bobobo4bobobo13b2o6b3o17b4o5bobob
13o2bo4bobo7bob4obobob4ob2o2b2obo$11bo7b2o2b2ob3o2bobo6bo4b2obo2b11obo
b3o4bo5b2o4b2o4b3ob3o5bo13b2o2bo4bo2b2o18bo19bo56bo19bo18b2o2bo4bo2b2o
13bo5b3ob3o4b2o4b2o5bo4b3obob11o2bob2o4bo6bobo2b3ob2o2b2o7bo$10bob3o2b
3obo2bo2bo4bobo5bo8bob13o3b3obo2b3ob2ob2ob2ob2ob7ob2obob2o11bo2bo2b2o
2bo2bo134bo2bo2b2o2bo2bo11b2obob2ob7ob2ob2ob2ob2ob3o2bob3o3b13obo8bo5b
obo4bo2bo2bob3o2b3obo$9bo5bob5o6bobo4bo4b2o4b2o2bo12bob5o2b2o3bo2bo2bo
2bo2bo7bo2b2obo10b2obo2b2o2b2o2bob2o130b2obo2b2o2b2o2bob2o10bob2o2bo7b
o2bo2bo2bo2bo3b2o2b5obo12bo2b2o4b2o4bo4bobo6b5obo5bo$10b2o4bo4bo6b2ob
3o2bo3bobo4b2o14bob4obo30bo13bob2o8b2obo132bob2o8b2obo13bo30bob4obo14b
2o4bobo3bo2b3ob2o6bo4bo4b2o$10bo3bo6bo6bo5b2o4bob3obobo14b6o2b2o44bob
2o4b2obo136bob2o4b2obo44b2o2b6o14bobob3obo4b2o5bo6bo6bo3bo$8b2obobob4o
2b2o5bob2obobo3b2o3b2o2bo11b2o3b3obo3bo45bo6bo140bo6bo45bo3bob3o3b2o
11bo2b2o3b2o3bobob2obo5b2o2b4obobob2o$9bob2o6bo5b2o2bo2b2obo2bobob5ob
2o11b2o2b5o2bo248bo2b5o2b2o11b2ob5obobo2bob2o2bo2b2o5bo6b2obo$11bob2o
5b2o4b2o5bo2b3obob3o17bob5ob3o248b3ob5obo17b3obob3o2bo5b2o4b2o5b2obo$
13bo6bo6bo8bo3b7o2b3o14b3o3bo248bo3b3o14b3o2b7o3bo8bo6bo6bo$18b2obob2o
bob2o6bo2bob4ob4ob3o4b2o4b4obo2bo248bo2bob4o4b2o4b3ob4ob4obo2bo6b2obob
2obob2o$19bob2o2b2obo7b2ob15ob2ob2ob2ob6ob2o248b2ob6ob2ob2ob2ob15ob2o
7bob2o2b2obo$21bo4bo7b2obobo6b5o3bo2bo2bo2bo5bobob2o244b2obobo5bo2bo2b
o2bo3b5o6bobob2o7bo4bo$35bo3bo6b5o18bo3bo246bo3bo18b5o6bo3bo$40b2o3b7o
15b2o256b2o15b7o3b2o$40bo6b3o5b2o4b2o5bo256bo5b2o4b2o5b3o6bo$38b2obob
3ob3ob3ob2ob2ob2ob2obob2o252b2obob2ob2ob2ob2ob3ob3ob3obob2o$39bob2o3bo
3bo3bo2bo2bo2bo2b2obo254bob2o2bo2bo2bo2bo3bo3bo3b2obo$41bo25bo258bo25b
o!

Here's the database entry:

Code: Select all

:Matthias Merzenich, 2024:B2478/S13678:B2478/S013678:1:0:1:394:58:196b2o$193b2ob2ob2o$192bo2bo2bo2bo$191bo10bo$185b2o2b3o10b3o2b2o$182b2ob2obo2bo10bo2bob2ob2o$181bo2bo2bo3bo10bo3bo2bo2bo$180bo8bo2b2o6b2o2bo8bo$178b3o8bo2bo8bo2bo8b3o$177bo2bo8b2o12b2o8bo2bo$178bo3b2o3b2obo12bob2o3b2o3bo$178b2ob2o5bobo12bobo5b2ob2o$175b2o4bo8b2o10b2o8bo4b2o$174bo2b2o36b2o2bo$175bobo11bo2bo8bo2bo11bobo$172b3o6b2o4b8o4b8o4b2o6b3o$171bo4b4ob2ob2ob8ob2ob8ob2ob2ob4o4bo$172bob2o4bo2bo2bo8bo2bo8bo2bo2bo4b2obo$172b2o46b2o$13b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o3bo44bo3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$10b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2bo46bo2b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$9bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b3o46b3o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$8bo164bo46bo164bo$9b163o3b2o40b2o3b163o$9bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob2ob2o42b2ob2obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$9bo2b45ob35ob21ob55o3bo44bo3b55ob21ob35ob45o2bo$8b2ob6ob3ob7ob11ob3ob3ob5o2bo2b5ob7ob3ob5ob3ob3o2bo2b7ob3ob5o2bo2b5ob11ob3ob3ob3ob5ob9ob5o2bo50bo2b5ob9ob5ob3ob3ob3ob11ob5o2bo2b5ob3ob7o2bo2b3ob3ob5ob3ob7ob5o2bo2b5ob3ob3ob11ob7ob3ob6ob2o$13b5o3b9o11b14o5b17o2b3o2b7o5b8o3b6o5b18o3b5o4b5o2b8o2b3o2bo52bo2b3o2b8o2b5o4b5o3b18o5b6o3b8o5b7o2b3o2b17o5b14o11b9o3b5o$9b2o2b4o5b7o13b4o4b6obob5o2b6o5bob3obo5b3obob8obobo2b5obob5o2b11o5b3o4bo5bob7obob3ob2o52b2ob3obob7obo5bo4b3o5b11o2b5obob5o2bobob8obob3o5bob3obo5b6o2b5obob6o4b4o13b7o5b4o2b2o$6b2ob2ob5obo4b5o12bob4o4b5ob3ob4o2b6o6bo3bo6b2ob3ob9o2bo2b3ob3ob16o7bo4bo7bob6o2bo3bobo52bobo3bo2b6obo7bo4bo7b16ob3ob3o2bo2b9ob3ob2o6bo3bo6b6o2b4ob3ob5o4b4obo12b5o4bob5ob2ob2o$5bo2bo2bob3obobo4b3o12bobob4o2b14ob2ob6o5bobobo5b14o5b2ob12o2b9o9bob3o7bob5obo7bo4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4bo7bob5obo7b3obo9b9o2b12ob2o5b14o5bobobo5b6ob2ob14o2b4obobo12b3o4bobob3obo2bo2bo$4bo8b3obob3obo13b3obob2o6b3o2b7o4b4o4b2o2bobo2b2o4b4o2b6obo3bobo5b17o10b2o2bo7b9o4bobo2b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2bobo4b9o7bo2b2o10b17o5bobo3bob6o2b4o4b2o2bobo2b2o4b4o4b7o2b3o6b2obob3o13bob3obob3o8bo$2b3o9b4o3b2o4bo7b3o3b4ob4ob11obo2bob5obo2b2obob2o2bob13obobo2bo7b7o2b7o11bo3bo4b2o3b5o3b2obo2b2o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b2o2bob2o3b5o3b2o4bo3bo11b7o2b7o7bo2bobob13obo2b2obob2o2bob5obo2bob11ob4ob4o3b3o7bo4b2o3b4o9b3o$bo2bo2b2o8bob5ob5o2b2ob5obo3bo4bob2o2b6o2bob4o2b2o13b2o2b3o2b5obob3o6b2ob6o2b6o10b2obob2o5b2o2b5o2b2o3bo56bo3b2o2b5o2b2o5b2obob2o10b6o2b6ob2o6b3obob5o2b3o2b2o13b2o2b4obo2b6o2b2obo4bo3bob5ob2o2b5ob5obo8b2o2bo2bo$2bo3bo2bo3bo3bob3o3b5obo2bob4obo10b2o2b5obo2bob8obo2b3o2bob17o3bo7bo2b4ob2ob4o12bob2obo6bob7obo3b2o2b52o2b2o3bob7obo6bob2obo12b4ob2ob4o2bo7bo3b17obo2b3o2bob8obo2bob5o2b2o10bob4obo2bob5o3b3obo3bo3bo2bo3bo$2b2ob2obo3bobo2b5o2bob3obo5b6o7bobo2b2o6b2o3b7ob5ob5ob7o2b6obo2bo11b3o4b3o15bo2bo10b3o10bo52bo10b3o10bo2bo15b3o4b3o11bo2bob6o2b7ob5ob5ob7o3b2o6b2o2bobo7b6o5bob3obo2b5o2bobo3bob2ob2o$2obo5b4ob3ob5ob5obo6b3o3b2o2b4o10bobo4b26o2b8ob2o14bo2bo22b2o6b7o6b2o54b2o6b7o6b2o22bo2bo14b2ob8o2b26o4bobo10b4o2b2o3b3o6bob5ob5ob3ob4o5bob2o$bo4b2o4bobo3b4obob6o7b2ob2o2bob5obo2bo2b3obo5b5o20b2o7bobob2o7b3obo4bob3o17bo5b3ob3ob3o5bo54bo5b3ob3ob3o5bo17b3obo4bob3o7b2obobo7b2o20b5o5bob3o2bo2bob5obo2b2ob2o7b6obob4o3bobo4b2o4bo$7b2o3bobo2bob3o3b5ob2o7bo5bob3ob8o3b2o5b4o29bo3bo7bo3b2o4b2o3bo14b2obob2ob11ob2obob2o50b2obob2ob11ob2obob2o14bo3b2o4b2o3bo7bo3bo29b4o5b2o3b8ob3obo5bo7b2ob5o3b3obo2bobo3b2o$8bob2o2b2ob4obobob4obo7bobo4bo2b13obobo5b4o17b3o6b2o13bobobo4bobobo16bob2o2bo11bo2b2obo52bob2o2bo11bo2b2obo16bobobo4bobobo13b2o6b3o17b4o5bobob13o2bo4bobo7bob4obobob4ob2o2b2obo$11bo7b2o2b2ob3o2bobo6bo4b2obo2b11obob3o4bo5b2o4b2o4b3ob3o5bo13b2o2bo4bo2b2o18bo19bo56bo19bo18b2o2bo4bo2b2o13bo5b3ob3o4b2o4b2o5bo4b3obob11o2bob2o4bo6bobo2b3ob2o2b2o7bo$10bob3o2b3obo2bo2bo4bobo5bo8bob13o3b3obo2b3ob2ob2ob2ob2ob7ob2obob2o11bo2bo2b2o2bo2bo134bo2bo2b2o2bo2bo11b2obob2ob7ob2ob2ob2ob2ob3o2bob3o3b13obo8bo5bobo4bo2bo2bob3o2b3obo$9bo5bob5o6bobo4bo4b2o4b2o2bo12bob5o2b2o3bo2bo2bo2bo2bo7bo2b2obo10b2obo2b2o2b2o2bob2o130b2obo2b2o2b2o2bob2o10bob2o2bo7bo2bo2bo2bo2bo3b2o2b5obo12bo2b2o4b2o4bo4bobo6b5obo5bo$10b2o4bo4bo6b2ob3o2bo3bobo4b2o14bob4obo30bo13bob2o8b2obo132bob2o8b2obo13bo30bob4obo14b2o4bobo3bo2b3ob2o6bo4bo4b2o$10bo3bo6bo6bo5b2o4bob3obobo14b6o2b2o44bob2o4b2obo136bob2o4b2obo44b2o2b6o14bobob3obo4b2o5bo6bo6bo3bo$8b2obobob4o2b2o5bob2obobo3b2o3b2o2bo11b2o3b3obo3bo45bo6bo140bo6bo45bo3bob3o3b2o11bo2b2o3b2o3bobob2obo5b2o2b4obobob2o$9bob2o6bo5b2o2bo2b2obo2bobob5ob2o11b2o2b5o2bo248bo2b5o2b2o11b2ob5obobo2bob2o2bo2b2o5bo6b2obo$11bob2o5b2o4b2o5bo2b3obob3o17bob5ob3o248b3ob5obo17b3obob3o2bo5b2o4b2o5b2obo$13bo6bo6bo8bo3b7o2b3o14b3o3bo248bo3b3o14b3o2b7o3bo8bo6bo6bo$18b2obob2obob2o6bo2bob4ob4ob3o4b2o4b4obo2bo248bo2bob4o4b2o4b3ob4ob4obo2bo6b2obob2obob2o$19bob2o2b2obo7b2ob15ob2ob2ob2ob6ob2o248b2ob6ob2ob2ob2ob15ob2o7bob2o2b2obo$21bo4bo7b2obobo6b5o3bo2bo2bo2bo5bobob2o244b2obobo5bo2bo2bo2bo3b5o6bobob2o7bo4bo$35bo3bo6b5o18bo3bo246bo3bo18b5o6bo3bo$40b2o3b7o15b2o256b2o15b7o3b2o$40bo6b3o5b2o4b2o5bo256bo5b2o4b2o5b3o6bo$38b2obob3ob3ob3ob2ob2ob2ob2obob2o252b2obob2ob2ob2ob2ob3ob3ob3obob2o$39bob2o3bo3bo3bo2bo2bo2bo2b2obo254bob2o2bo2bo2bo2bo3bo3bo3b2obo$41bo25bo258bo25bo!

-Matthias Merzenich

Sokwe: Moderator; Posts: 3367; Joined: July 9th, 2009, 2:44 pm

Re: Life-like p1 photon project

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Post by Sokwe » October 19th, 2024, 7:11 am

I checked the remaining B2 rule space for p1 photons. Here is the full list of unsolved rules (181 rules in total, with related rules grouped together):

Code: Select all

B2578/S1345
B2578/S13458
B257/S134578
B2578/S134578
B258/S134578
B25/S134578
B257/S13457
B2578/S13457
B258/S13457
B25/S13457

B2467/S1345
B2467/S13458

B24678/S134568
B2467/S134568
B247/S134568
B2478/S134568

B247/S13456
B2478/S13456
B248/S13456
B24/S13456

B268/S1346
B26/S1346
B268/S13468
B26/S13468

B2457/S1346
B2457/S13468

B2458/S13467

B2568/S1347
B2568/S13478
B2568/S1348
B2568/S134

B246/S1578
B2468/S1578
B24678/S1578
B2467/S1578
B246/S157
B2468/S157
B24678/S157
B2467/S157
B246/S1567
B2468/S1567
B24678/S1567
B2467/S1567
B246/S15678
B2468/S15678
B24678/S15678
B2467/S15678

B24567/S0156
B24567/S01568

B257/S014568
B2578/S014568
B258/S014568
B25/S014568
B257/S01456
B2578/S01456
B258/S01456
B25/S01456

B257/S0147
B2578/S0147
B258/S0147
B25/S0147
B257/S01478
B2578/S01478
B258/S01478
B25/S01478
B257/S0148
B2578/S0148
B258/S0148
B25/S0148
B257/S014
B2578/S014
B258/S014
B25/S014

B246/S0134
B2467/S0134
B246/S01348
B2467/S01348
B246/S013478
B2467/S013478
B246/S01347
B2467/S01347

B248/S013467
B248/S013468
B248/S01346

B247/S0136
B2478/S0136
B248/S0136
B24/S0136
B247/S01368
B2478/S01368
B248/S01368
B24/S01368
B247/S013678
B2478/S013678
B248/S013678
B24/S013678
B247/S01367
B2478/S01367
B248/S01367
B24/S01367
B247/S0137
B2478/S0137
B248/S0137
B24/S0137
B247/S01378
B2478/S01378
B248/S01378
B24/S01378
B247/S0138
B2478/S0138
B248/S0138
B24/S0138
B247/S013
B2478/S013
B248/S013
B24/S013

B246/S0137
B2468/S0137
B246/S01378
B2468/S01378
B246/S0138
B2468/S0138
B246/S013
B2468/S013

B267/S0256
B2678/S0256
B268/S0256
B26/S0256
B267/S02568
B2678/S02568
B268/S02568
B26/S02568

B248/S0257
B24/S0257
B248/S02578
B24/S02578
B247/S0258
B2478/S0258
B248/S0258
B24/S0258
B247/S025
B2478/S025
B248/S025
B24/S025

B257/S0247
B2578/S0247
B258/S0247
B25/S0247
B257/S02478
B2578/S02478
B258/S02478
B25/S02478
B257/S0248
B2578/S0248
B258/S0248
B25/S0248
B257/S024
B2578/S024
B258/S024
B25/S024

B2568/S0235
B25678/S0235
B2567/S0235
B257/S0235
B2578/S0235
B2568/S02358
B25678/S02358
B2567/S02358
B257/S02358
B2578/S02358

B246/S0235
B2468/S0235
B246/S02358
B2468/S02358

B246/S02357
B2468/S02357

B25678/S023567
B2567/S023567

B2456/S023568
B2456/S02356

B246/S02367

Here is the rule map:

Code: Select all

             B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B
             2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
                                             4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
                             5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
                     6 6 6 6 6 6 6 6                 6 6 6 6 6 6 6 6
                 7 7 7 7         7 7 7 7         7 7 7 7         7 7 7 7
               8 8     8 8     8 8     8 8     8 8     8 8     8 8     8 8
            ----------------------------------------------------------------
S          : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S        8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S       78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S       7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S      67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S      678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S      6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S      6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3  6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3  6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3  678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3  67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3   7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3   78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3    8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3      : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23      : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23    8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23   78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23   7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23  67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23  678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23  6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23  6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2   6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2   6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2   678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2   67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2    7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2    78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2     8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2       : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 12       :
S 12     8 :
S 12    78 :
S 12    7  :
S 12   67  :
S 12   678 :
S 12   6 8 :
S 12   6   :
S 12  56   :
S 12  56 8 :
S 12  5678 :
S 12  567  :
S 12  5 7  :
S 12  5 78 :
S 12  5  8 :
S 12  5    :
S 12 45    :
S 12 45  8 :
S 12 45 78 :
S 12 45 7  :
S 12 4567  :
S 12 45678 :
S 12 456 8 :
S 12 456   :
S 12 4 6   :
S 12 4 6 8 :
S 12 4 678 :
S 12 4 67  :
S 12 4  7  :
S 12 4  78 :
S 12 4   8 :
S 12 4     :
S 1234     :
S 1234   8 :
S 1234  78 :
S 1234  7  :
S 1234 67  :
S 1234 678 :
S 1234 6 8 :
S 1234 6   :
S 123456   :
S 123456 8 :
S 12345678 :
S 1234567  :
S 12345 7  :
S 12345 78 :
S 12345  8 :
S 12345    :
S 123 5    :
S 123 5  8 :
S 123 5 78 :
S 123 5 7  :
S 123 567  :
S 123 5678 :
S 123 56 8 :
S 123 56   :
S 123  6   :
S 123  6 8 :
S 123  678 :
S 123  67  :
S 123   7  :
S 123   78 :
S 123    8 :
S 123      :
S 1 3      :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3    8 :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3   78 :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3   7  :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3  67  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3  678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3  6 8 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3  6   :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 56   :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 56 8 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 567  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5 7  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5 78 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5  8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5    :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 345    :                           .     1 1 1 1         1 1 1 . 1 1 1 1
S 1 345  8 :                           .     1 1 1 1         1 1 1 . 1 1 1 1
S 1 345 78 :                         . . . . 1 1 1 1         1 1 1 1 1 1 1 1
S 1 345 7  :                         . . . . 1 1 1 1         1 1 1 1 1 1 1 1
S 1 34567  :
S 1 345678 :
S 1 3456 8 :                                                 1 1 . . . . 1 1
S 1 3456   :                                                 1 1     . . . .
S 1 34 6   :         1 1 . . 1 1 1 1 1 1         1 .         1 1 1 1 1 1 1 1
S 1 34 6 8 :         1 1 . . 1 1 1 1 1 1         1 .         1 1 1 1 1 1 1 1
S 1 34 678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1         1 1 1 1 1 1 1 1
S 1 34 67  :         1 1 1 1 1 1 1 1 1 1 1 1   . 1 1         1 1 1 1 1 1 1 1
S 1 34  7  :                   . 1 1         1 1 1 1         1 1 1 1 1 1 1 1
S 1 34  78 :                   . 1 1         1 1 1 1         1 1 1 1 1 1 1 1
S 1 34   8 :                   . 1 1         1 1 1 1         1 1 1 1 1 1 1 1
S 1 34     :                   . 1 1         1 1 1 1         1 1 1 1 1 1 1 1
S 1  4     :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4   8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4  78 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4  7  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4 67  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4 678 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4 6 8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4 6   :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  456   :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  456 8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45678 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4567  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45 7  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45 78 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45  8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45    :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1   5    :                                 1 1 1 1 1 1 1 1
S 1   5  8 :                                 1 1 1 1 1 1 1 1
S 1   5 78 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S 1   5 7  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S 1   567  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S 1   5678 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S 1   56 8 :                                 1 1 1 1 1 1 1 1
S 1   56   :                                 1 1 1 1 1 1 1 1
S 1    6   :
S 1    6 8 :
S 1    678 :
S 1    67  :
S 1     7  :
S 1     78 :
S 1      8 :
S 1        :
S01        :
S01      8 :
S01     78 :
S01     7  :
S01    67  :
S01    678 :
S01    6 8 :
S01    6   :
S01   56   :                                 1 1 1 1 . 1 1 1
S01   56 8 :                                 1 1 1 1 . 1 1 1
S01   5678 :
S01   567  :
S01   5 7  :                 1 1     1 1     1 1 1 1 1 1 1 1
S01   5 78 :                 1 1     1 1     1 1 1 1 1 1 1 1
S01   5  8 :                                 1 1 1 1 1 1 1 1
S01   5    :                                 1 1 1 1 1 1 1 1
S01  45    :                 1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  45  8 :                 1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  45 78 :                 1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  45 7  :                 1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4567  :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  45678 :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  456 8 :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  456   :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4 6   :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4 6 8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4 678 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4 67  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4  7  :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4  78 :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4   8 :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4     :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01 34     :                                                 . 1 1 . 1 1
S01 34   8 :                                                 . 1 1 . 1 1
S01 34  78 :                                                 . 1 1 . 1 1
S01 34  7  :                                                 . 1 1 . 1 1
S01 34 67  :                                                 1 1 1 1 1 1 .
S01 34 678 :                                                 1 1 1 1 1 1 1
S01 34 6 8 :                                                 1 1 1 1 1 1 .
S01 34 6   :                                                 1 1 1 1 1 1 .
S01 3456   :
S01 3456 8 :
S01 345678 :
S01 34567  :
S01 345 7  :
S01 345 78 :
S01 345  8 :
S01 345    :
S01 3 5    :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 5  8 :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 5 78 :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 5 7  :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 567  :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 5678 :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 56 8 :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 56   :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3  6   :                 1 1 1 1                         1 1 1 1 . . . .
S01 3  6 8 :                 1 1 1 1                         1 1 1 1 . . . .
S01 3  678 :                 1 1 1 1                         1 1 1 1 . 1 . .
S01 3  67  :                 1 1 1 1                         1 1 1 1 . . . .
S01 3   7  :                                                 . . 1 1 . . . .
S01 3   78 :                                                 . . 1 1 . . . .
S01 3    8 :                                                 . . 1 1 . . . .
S01 3      :                                                 . . 1 1 . . . .
S0123      :
S0123    8 :
S0123   78 :
S0123   7  :
S0123  67  :
S0123  678 :
S0123  6 8 :
S0123  6   :
S0123 56   :
S0123 56 8 :
S0123 5678 :
S0123 567  :
S0123 5 7  :
S0123 5 78 :
S0123 5  8 :
S0123 5    :
S012345    :
S012345  8 :
S012345 78 :
S012345 7  :
S01234567  :
S012345678 :
S0123456 8 :
S0123456   :
S01234 6   :
S01234 6 8 :
S01234 678 :
S01234 67  :
S01234  7  :
S01234  78 :
S01234   8 :
S01234     :
S012 4     :
S012 4   8 :
S012 4  78 :
S012 4  7  :
S012 4 67  :
S012 4 678 :
S012 4 6 8 :
S012 4 6   :
S012 456   :
S012 456 8 :
S012 45678 :
S012 4567  :
S012 45 7  :
S012 45 78 :
S012 45  8 :
S012 45    :
S012  5    :
S012  5  8 :
S012  5 78 :
S012  5 7  :
S012  567  :
S012  5678 :
S012  56 8 :
S012  56   :
S012   6   :
S012   6 8 :
S012   678 :
S012   67  :
S012    7  :
S012    78 :
S012     8 :
S012       :
S0 2       :                                 1 1 1 1 1 1 1 1
S0 2     8 :                                 1 1 1 1 1 1 1 1
S0 2    78 :                                 1 1 1 1 1 1 1 1
S0 2    7  :                                 1 1 1 1 1 1 1 1
S0 2   67  :                                 1 1 1 1 1 1 1 1
S0 2   678 :                                 1 1 1 1 1 1 1 1
S0 2   6 8 :                                 1 1 1 1 1 1 1 1
S0 2   6   :                                 1 1 1 1 1 1 1 1
S0 2  56   :         . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2  56 8 :         . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2  5678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2  567  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2  5 7  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . .
S0 2  5 78 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . .
S0 2  5  8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S0 2  5    :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S0 2 45    :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 45  8 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 45 78 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 45 7  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4567  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 45678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 456 8 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 456   :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4 6   :         1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4 6 8 :         1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4 678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4 67  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4  7  :                 1 1 1 1 . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4  78 :                 1 1 1 1 . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4   8 :                 1 1 1 1 . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4     :                 1 1 1 1 . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 234     :
S0 234   8 :
S0 234  78 :
S0 234  7  :
S0 234 67  :
S0 234 678 :
S0 234 6 8 :
S0 234 6   :
S0 23456   :
S0 23456 8 :
S0 2345678 :
S0 234567  :
S0 2345 7  :
S0 2345 78 :
S0 2345  8 :
S0 2345    :
S0 23 5    :                   . . . . .       1 1 1 1 1 1   . . 1 1 1 1 1 1
S0 23 5  8 :                   . . . . .       1 1 1 1 1 1   . . 1 1 1 1 1 1
S0 23 5 78 :                 1 1 1 1 1 1 1     1 1 1 1 1 1   1 1 1 1 1 1 1 1
S0 23 5 7  :                 1 1 1 1 1 1 1     1 1 1 1 1 1   . . 1 1 1 1 1 1
S0 23 567  :                     . . 1 1 1 1   1 1 1 1 1 1   1 1 1 1 1 1 1 1
S0 23 5678 :                     1 1 1 1 1 1   1 1 1 1 1 1   1 1 1 1 1 1 1 1
S0 23 56 8 :                   1 1 1 1 1       1 1 1 1 1 1 . 1 1 1 1 1 1 1 1
S0 23 56   :                   1 1 1 1 1       1 1 1 1 1 1 . 1 1 1 1 1 1 1 1
S0 23  6   :                                         1 1 1 1         1 1 1 1
S0 23  6 8 :                                         1 1 1 1         1 1 1 1
S0 23  678 :                                         1 1 1 1 1 1 1 1 1 1 1 1
S0 23  67  :                                         1 1 1 1 . 1 1 1 1 1 1 1
S0 23   7  :                                                         1 1 1 1
S0 23   78 :                                                         1 1 1 1
S0 23    8 :                                                         1 1 1 1
S0 23      :                                                         1 1 1 1
S0  3      : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3    8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3   78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3   7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3  67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3  678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3  6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3  6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  345    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  345  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  345 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  345 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  345678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   45678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   45 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   45 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   45  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   45    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0     6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0     6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0     678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0     67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0      7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0      78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0       8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0         : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

And here are some new p1 photons:

Code: Select all

:Matthias Merzenich, 2024:B256/S25:B25678/S025678:1:0:1:14:12:7b2o$4b2obobo$3bobo2bobo$2bobob4obo$bob3o3b2obo$ob2o6b2obo$3b2o5b2o$2b2obo2b3o$3b2obobo$4b2ob3o$5b3o2bo$6bo!
:Matthias Merzenich, 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:Matthias Merzenich, 2024:B257/S2357:B2578/S023578:1:-1:0:65:212:58bo$34bo23bobo$32bo2b25o$27bo4bo27b2o$25bo2b6ob25o$23bo2b6ob3o22bobo$23bo3b3ob2obo23bo$25b2o6bo2b26o$26b4ob2ob3o18bo$24b2ob5ob3o19bobo2bo$22bo2b4o2bo3b22o3bobo$20bo2b2obo4b3o23b5o$20bo3b4o7b22o5b2o$22b2obob4obo3bo19b6o$19b4obo8b3o18bo5bobo$18bo4bob2o4b5o18bobo3bo$16bo4bob2o6b2o3b20o$16bo4bobo2b6ob3o20b2o$18bo4b4o5bo2b21o$19b4o4b5obo20bobo$22b5o3bob3o2bo16bo$20bo5b7ob2o2b20o$18bo2bo4b2o4bob2o3bo11bo$18bo13b3o2b2o12bobo2bo$20b6o2b10ob14o3bobo2bo$21bo6b4o3b2o2bo13b5o3bobo$19b2o4b4ob2obo2b3ob13o5b5o$19b2o4b3o3bobob2ob2o12b6o5b2o$21bo7bob4o2b2o11bo6b6o$20b5obo3b4o2b2o5bo4bo2bo3bo5bobo$19bo7b4o6bo5bobo2bo6bobo3bo$17bo7b5o3b4ob7o5b7o$17bo7b2o6b4obo6b6o6b2o$19bo9b2o6bob6o6b6o$20b6o3b4o2bob2o5b7o4bobo$18b12o5bobo6b2o3bobo3bo$18b2o6b3o4b5o11bo$25bo7b2obob7o$17b2o4bo3bo9bo4bo$16bo6bo4b5o2b3o4bob2o$14bo4b6o4bo5b2ob6o9bo$14bo4b4ob5o3b4obo6bo8bobo$16bo10bobobo2b4o5b12o$17b2o4b2o2bo5bo2bobo2bo13b2o$23b7o6bo4bob12o$18b6o14b5obo2bo5bobo$18b5o6b2o4b4o4bo3bobo3bo$29b3o2bo2b3o2b2ob4o$17b2o3b2o7b2o3bo2b2o2b2o4b2o$16bo5b7o2b2o5bob2ob6o$14bo4b4o10b8ob2o3bobo$14bo4b3o6b4obo2bob5o4bo4bo$16bo11b5ob4o3bo10bobo$17b2o2b2o9bobob18o$13bo7b7o4b3obo17b2o$9bo3bobobo5b6o4bobob17o$7bo2b5o3b3obo5b5o2b2o4bo10bobo$7bo3bob3o12b2o2b2obo5bobo8bo$9b2o3bob2o2bo11b2ob8o$10b2ob6o2b8o5bo8b2o$8b2ob4o2bob14ob9o$8b2o3bob6o8b5o7bobo$10bo2bo5bob10obo8bo$9b7o3bo10b2o$7bo14bo5bo3b2o4bo$5bo2bo6b2o5bobo3bo2b4o3bobo$5bo9b9o6bo2bob5o$7b9o8b2o7bo6b2o$4b4o8b8o11b5o$3bo4b8o6bobo7b4o2bobo$bo4bobo5bobo5bo9b3o3bo$bo4bob2o4bo$3bo4bob8o3b3o9bo$4b4obo11b4o8bobo$7b2obo5bo7b11o$5bo3b3o4bobo3bo12b2o$5bo2b2ob7o4bob11o$7bo2b2obo4b6o9bobo$9b2o3b4o3b2o10bo$11bo5b6o$10b4obo6bobo3bo$9bo6bo5b2o4bobo$7bo6b4o6b6o$7bo6b2ob5ob5obo$9bo15b2ob2o5bo$10b5o2bo4b2o2b3obo4bobo2bo$11bo5bobo2b3ob11o3bobo$9b2o3b5o5b2ob4obo4b5o$7bo2b2obo5b4o3bo6b4o5b2o$5bo2b2ob8o5b2obo2bo5b6o$5bo3b3o5bobo2b3ob3o2b2o3b2o2bobo$7b2obo6bo4b2o2b2ob5o6bo$4b4obo15b2obo3bob3o$3bo4bob9o4b6o3bo$bo4bob2o6bo6b2o2bobo5bo$bo4bobo7bob2o7bo7bobo$3bo4b10o4b2o5b8o$4b4o10bo3b8o7b2o$2b6o9b6o7b7o$2b2o4bo6bo7b7o5bobo$7b3o2bo2bob6o5bobo4bo$b2o4bob2o2b4o4bobo4bo$b7ob2o3b2o5bo$3b4obobob2o$2bo5b3obobo$o5b2o2b3o$o5b2o2b3o$2bo5b3obobo$3b4obobob2o$b7ob2o3b2o5bo$b2o4bob2o2b4o4bobo4bo$7b3o2bo2bob6o5bobo4bo$2b2o4bo6bo7b7o5bobo$2b6o9b6o7b7o$4b4o10bo3b8o7b2o$3bo4b10o4b2o5b8o$bo4bobo7bob2o7bo7bobo$bo4bob2o6bo6b2o2bobo5bo$3bo4bob9o4b6o3bo$4b4obo15b2obo3bob3o$7b2obo6bo4b2o2b2ob5o6bo$5bo3b3o5bobo2b3ob3o2b2o3b2o2bobo$5bo2b2ob8o5b2obo2bo5b6o$7bo2b2obo5b4o3bo6b4o5b2o$9b2o3b5o5b2ob4obo4b5o$11bo5bobo2b3ob11o3bobo$10b5o2bo4b2o2b3obo4bobo2bo$9bo15b2ob2o5bo$7bo6b2ob5ob5obo$7bo6b4o6b6o$9bo6bo5b2o4bobo$10b4obo6bobo3bo$11bo5b6o$9b2o3b4o3b2o10bo$7bo2b2obo4b6o9bobo$5bo2b2ob7o4bob11o$5bo3b3o4bobo3bo12b2o$7b2obo5bo7b11o$4b4obo11b4o8bobo$3bo4bob8o3b3o9bo$bo4bob2o4bo$bo4bobo5bobo5bo9b3o3bo$3bo4b8o6bobo7b4o2bobo$4b4o8b8o11b5o$7b9o8b2o7bo6b2o$5bo9b9o6bo2bob5o$5bo2bo6b2o5bobo3bo2b4o3bobo$7bo14bo5bo3b2o4bo$9b7o3bo10b2o$10bo2bo5bob10obo8bo$8b2o3bob6o8b5o7bobo$8b2ob4o2bob14ob9o$10b2ob6o2b8o5bo8b2o$9b2o3bob2o2bo11b2ob8o$7bo3bob3o12b2o2b2obo5bobo8bo$7bo2b5o3b3obo5b5o2b2o4bo10bobo$9bo3bobobo5b6o4bobob17o$13bo7b7o4b3obo17b2o$17b2o2b2o9bobob18o$16bo11b5ob4o3bo10bobo$14bo4b3o6b4obo2bob5o4bo4bo$14bo4b4o10b8ob2o3bobo$16bo5b7o2b2o5bob2ob6o$17b2o3b2o7b2o3bo2b2o2b2o4b2o$29b3o2bo2b3o2b2ob4o$18b5o6b2o4b4o4bo3bobo3bo$18b6o14b5obo2bo5bobo$23b7o6bo4bob12o$17b2o4b2o2bo5bo2bobo2bo13b2o$16bo10bobobo2b4o5b12o$14bo4b4ob5o3b4obo6bo8bobo$14bo4b6o4bo5b2ob6o9bo$16bo6bo4b5o2b3o4bob2o$17b2o4bo3bo9bo4bo$25bo7b2obob7o$18b2o6b3o4b5o11bo$18b12o5bobo6b2o3bobo3bo$20b6o3b4o2bob2o5b7o4bobo$19bo9b2o6bob6o6b6o$17bo7b2o6b4obo6b6o6b2o$17bo7b5o3b4ob7o5b7o$19bo7b4o6bo5bobo2bo6bobo3bo$20b5obo3b4o2b2o5bo4bo2bo3bo5bobo$21bo7bob4o2b2o11bo6b6o$19b2o4b3o3bobob2ob2o12b6o5b2o$19b2o4b4ob2obo2b3ob13o5b5o$21bo6b4o3b2o2bo13b5o3bobo$20b6o2b10ob14o3bobo2bo$18bo13b3o2b2o12bobo2bo$18bo2bo4b2o4bob2o3bo11bo$20bo5b7ob2o2b20o$22b5o3bob3o2bo16bo$19b4o4b5obo20bobo$18bo4b4o5bo2b21o$16bo4bobo2b6ob3o20b2o$16bo4bob2o6b2o3b20o$18bo4bob2o4b5o18bobo3bo$19b4obo8b3o18bo5bobo$22b2obob4obo3bo19b6o$20bo3b4o7b22o5b2o$20bo2b2obo4b3o23b5o$22bo2b4o2bo3b22o3bobo$24b2ob5ob3o19bobo2bo$26b4ob2ob3o18bo$25b2o6bo2b26o$23bo3b3ob2obo23bo$23bo2b6ob3o22bobo$25bo2b6ob25o$27bo4bo27b2o$32bo2b25o$34bo23bobo$58bo!
:Matthias Merzenich, 2024:B25/S23567:B2578/S0235678:1:-1:0:60:98:18bo35bo$17bo36bobo$15bo3b37o$13bo2b4o25bo10b2o$11bo2b5o4bo19bo2b10o$11bo3b2o6bobo17bo3bo6bobo$13b2o4b6o20b2o7bo$14b3obo6b21ob11o$12b2ob10o11bo9bo$12b2o2b9o11bobo6b2o9bo$14bobo8b13o5bo2b2o8bobo$13b3ob8o2bo10b2o3bob2ob10o$12bo3b9o2bobo7b8o2bo10b2o$10bo4b2o8b4o7bo2b2o4bob11o$8bo2b2obo2b8o4b2o3bo3bo5b3o3bo5bobo$6bo2b8o7b5o5bob5obo4bo2bobo3bo$6bo3b7o7b5o2b5o7bo2b6o$8b2obo4bo2bo6b2o2bo2b2o6b4o7b2o$5b4obo5b2o2b4obo6bo8b4ob6o$4bo4bob7o9b8obo8b2o3bobo$2bo4bob2o6bob2o3b4o9b4o3b2o4bo$2bo4bobo7b2o5b3o8b7o2bo$4bo4b3o7bo15b3o3b4o$5b2ob9ob6o2b2o13b4o$10b11o5b9o2b2o5bobo$6b2obo7bo6b3o10b5o2b2o$5bo11bobo4b2o4bo4b3o8b2o$3bo4b11o11bobo2b2o4b2ob2o$3bo4b10o2b5ob6o9b4obo$5bo15bo5bo4b3o2b5o2bo$6b2o10b3o4b2o3bobo4b4o3b4o$4b5o9b3o4b2o3bob2o$4b2o2b12o2bo4bo4bob3o4b3o2bo$8b10o5b2ob6obo6bo5bobo$5b4o11b12ob4obo4b5o$4bo4b9obo2b4o6bo6b2obo5b2o$2bo4bobo5bo5bo9b2o4b11o$2bo4bob2o4bobo7b2o4bobo3b7o2bobo$4bo4bob6o8b7o8bo5bo$5b4obo6b2o8b5o4b2o2bobo$3b6ob7o9bo5bo3b6o$3b2o3bo6bobo6bo6b6o5b2o$8b3o4bo8bo4bo7b5o$4b22o3bob6o3bobo$4b4ob15ob6obo2bobo2bo$10b2o19bo3bo$3b2o3b2o13b2o5b2o$2bo5bobo11bo7bobo$o4b4o11bo4b6o$o4b4o11bo4b6o$2bo5bobo11bo7bobo$3b2o3b2o13b2o5b2o$10b2o19bo3bo$4b4ob15ob6obo2bobo2bo$4b22o3bob6o3bobo$8b3o4bo8bo4bo7b5o$3b2o3bo6bobo6bo6b6o5b2o$3b6ob7o9bo5bo3b6o$5b4obo6b2o8b5o4b2o2bobo$4bo4bob6o8b7o8bo5bo$2bo4bob2o4bobo7b2o4bobo3b7o2bobo$2bo4bobo5bo5bo9b2o4b11o$4bo4b9obo2b4o6bo6b2obo5b2o$5b4o11b12ob4obo4b5o$8b10o5b2ob6obo6bo5bobo$4b2o2b12o2bo4bo4bob3o4b3o2bo$4b5o9b3o4b2o3bob2o$6b2o10b3o4b2o3bobo4b4o3b4o$5bo15bo5bo4b3o2b5o2bo$3bo4b10o2b5ob6o9b4obo$3bo4b11o11bobo2b2o4b2ob2o$5bo11bobo4b2o4bo4b3o8b2o$6b2obo7bo6b3o10b5o2b2o$10b11o5b9o2b2o5bobo$5b2ob9ob6o2b2o13b4o$4bo4b3o7bo15b3o3b4o$2bo4bobo7b2o5b3o8b7o2bo$2bo4bob2o6bob2o3b4o9b4o3b2o4bo$4bo4bob7o9b8obo8b2o3bobo$5b4obo5b2o2b4obo6bo8b4ob6o$8b2obo4bo2bo6b2o2bo2b2o6b4o7b2o$6bo3b7o7b5o2b5o7bo2b6o$6bo2b8o7b5o5bob5obo4bo2bobo3bo$8bo2b2obo2b8o4b2o3bo3bo5b3o3bo5bobo$10bo4b2o8b4o7bo2b2o4bob11o$12bo3b9o2bobo7b8o2bo10b2o$13b3ob8o2bo10b2o3bob2ob10o$14bobo8b13o5bo2b2o8bobo$12b2o2b9o11bobo6b2o9bo$12b2ob10o11bo9bo$14b3obo6b21ob11o$13b2o4b6o20b2o7bo$11bo3b2o6bobo17bo3bo6bobo$11bo2b5o4bo19bo2b10o$13bo2b4o25bo10b2o$15bo3b37o$17bo36bobo$18bo35bo!
:Matthias Merzenich, 2024:B258/S2357:B258/S023578:1:-1:0:165:277:156bo$114bo41bobo$112bo2b43o$112bo3bo2bo27bo10b2o$114b2o3bobo18bo4bo2b10o$111b4ob5o19bobo2bo3bo6bobo$110bo4bo5b21o5b2o7bo$108bo4bob6o21b6ob2o$108bo4bobobo2b22o6bo4bo$110bo4b4o22b7obo3bobo$111b2ob4ob2o20b2o3bob7o$116b2o28bo8b2o$112b2obo2bo2b21o6b7o$111bo5b3o2bo16bo9bo3bobo$109bo4b5ob2o17bob8o4bo$109bo4b3o3bob19o6bob2o$111bo7b2o20bo5bo$112b2obo3bobo9bo8b10o$116b4o11bobo4bo14bo$113bo3bob14o5bobo8b2o2bobo$85bo27bob2o16b7o9b6o$83bo2b29ob2ob14o7b10o5b2o$83bo3bo2bo24bob3o12b8o10b5o$85b2o3bobo8bo12b2o3bobo10b2o5b11o3bobo$82b4ob5o9bobo6bo3bobo2b2o16bo10bobo2bo$81bo4bo5b11o5bo2b4o5bo12b2o2bobo8bo$79bo4bob6o11b2o3bo3bob6obo11b6o$79bo4bobobo2b12o7b2o6bob14o5b2o$81bo4b4o11bobob6ob2o4bo15b5o$82b2ob4ob2o9bo4bo4bo8b14o3bobo$87b2o16b6obo8bo4bo5bobo2bo$83b2obo2bo2b10obo5bob10o5bobo3bo$82bo5b3o2bo5bo4b2o3bo9bob7o$80bo4b5ob2o6bobo10bo6bo2bo5b2o$80bo4b3o3bob8o4b2o5bobo6b7o$82bo7b2o9b2o2b9o8b2o2bobo$83b2obo3bobo7b6o8b8o4bo$87b4o7bo2bo4b8o6bobo$84bo4b2o4bo2bob6o6bobo5bo$47bo36bob2o2bo2bo2b4o4bobo5bo$45bo2b38o3b2o2bo3b2o5bo$45bo3bo2bo30b2o2b4o4b2o$47b2o3bobo3bo23bo5b4ob3obo$44b4ob5o4bobo2bo16bo4b3o3b3obo$43bo4bo5b6o3bobo9bo4bo4b3o3b5o$41bo4bob6o6b5o10bobo4bo5bo5bobo$41bo4bobobo2b7o5b12o6b2o2b5o2bo$43bo4b4o7b6o12b9o$44b2ob4obo6b2o3b13o7bobo3bo$49b2o13b2o4bo4bobo6bo5bobo$45b2o2bo8b2o10bobo2bo10b6o$45b5o8b6ob7o5b10o5b2o$18bo28b2ob9o7bo5b6o9b5o$16bo2b26obo3bo8b5ob7o6b9o3bobo$16bo3bo21bo5bob9o12b7o7bobo2bo$18b2o22bobo4b3o5bobo3b2o6b2o3bobo6bo$15b4ob24o3b3o7bo5b3o10bo$14bo4bo24b2o2b3o14b7o$12bo4bob25o3b4obo9b2o4bo$12bo4bobobo20bobo4b3o10b3o3bobo$14bo4b4o19bo5bo2bo12b6o$15b2ob4ob22obo3bob11o7b2o$13b8obo24b5o12b6o$13b2o2bo4b23o4b2o3bo7b3o3bobo$17bobob3o24bo5bobo5b2o4bo$14b5o4b22obo3b6o$13bo5b2o2b2o22b4o5b7o$11bo6b6ob20o4b7o3bo$11bo4bo2bo4bo17bo5bo2b5o3bobo$13bo2bob6obo16bobobo3bo5b5o$14b4o4bob20o3b9o5b2o$15b2o5bo6bo14bo10b6o$13b2o9bo4bobo2bo8b4o6bo5bobo$9bo3bobo9b6o3bobo5bo10bobo3bo$7bo2b4o7bo9b5o4bo6b8o$7bo3bob3obo3bobob6o5b2o2bo4bo2bo6b2o$9b2o7b5o3bo3b6o6bo2bob8o$10b2ob3o4b2o2bobobo5bobo6b4o6bobo$8b2ob3o5bo5b3o2bo3bo9b2o7bo$8b2o3bobobo4b4obo3b13o$10bo2b2o3b2obo2b4o14bobo$9b7o7bo2bob3o3bo7bo$8bo5bob2obo6bo7bobo$6bo7bo5b9o2b5o$6bo10bo13b3obo$8bo8bob2o8b3ob3obo$9b10o10b2o4b2o$10bo8bo13bo3b2o4bo$8b2o8b12o3bo2b4o3bobo$4bo3bob2o4bo18bo2bob5o$2bo2b4o7bobo10b2o7bo6b2o$2bo3bob3ob6o10bo11b5o$4b2o7bo4b2o6bo4b10o2bobo$5b2ob3ob6o8bo4b9o3bo$3b2ob3o7bobo9bo$3b2o3bobobo3bo12b2o7bo$5bo2b2o3b19o6bobo$4b7o19bob8o$3bo5bob2o17bo2bo6b2o$bo7bo22b8o$bo10b2o19b2o3bobo$3bo8b21o5bo$4b9o18bobo$2b10o19bo$2b2o18bo$11b2o9bobo$b2o8b13o$b11o4bo7b2o$3b8o3bo2b7o$2bo11bo3bo3bobo$o9b2o4b2o4bo$o9b3ob3ob2o7bo$2bo9b3obo10bobo3bo$3b7o2b5o2b10o4bobo$4bo10bobo2bo8b6o$2b2o6b2o3bo3b10o6b2o$2b2o6b3o7b2o6b7o$4bo7b8o6bo6bobo$3b7o2b2o4bobo3bo2bo5bo$2bo15bo5bo$o8b4o13b9o$o8b5o13bo3bo$2bo10b14o4bobo$3b6o4b2o10bob6o$4bo20bo2bo4b2o$2b2o4b6o13b6o$2b2o4b7o16bobo$4bo9b14o3bo$3b5o6b2o$2bo23bo$o6b2o4b2o11bobo$o6b3o3b15o$2bo6b5o14b2o$3b5o6b14o$4bo4b5o12bobo$2b2o3b3o2bobo11bo$2b2o3b2o3bo$4bo$3b5o8bo$2bo13bobo9bo$o7b10o10bobo$o5bo2bo8b12o$2bo3bob10o12b2o5bo$3b5o8bobo10b4o4bobo$5b2o9bo11bo2bob6o$4bo21bo4bo2bo4b2o$2bo4b11o8bo6b6o$2bo4b21o9bobo$4bo13b8ob7o3bo$5b2o10bo$15bo10b2o4bo$6b2o7bo10b3o3bobo2bo$6b11o11b6o3bobo$8b7ob11o7b5o$7bo20b6o5b2o$5bo9b2o4bo4b3o4b6o$5bo9b3o3bobo2b2o3bo5bobo$7bo9b6o8bobo3bo$8b8o7b3ob6o$9bo7b6o5bo4b2o$7b2o6b3o4b4ob6o$7b2o6b2o3bo10bobo$9bo10bobo2b2o4bo$8b7o2b5o3b3o$7bo9b3obo5b6o$5bo9b3ob3obobo$5bo9b2o4b2o3bo4bo$7bo11bo3bo7bobo$8b8o3bo2b11o$6b11o4bo11b2o$6b2o8b17o$16b2o13bobo$7b2o22bo$7b10o19bo$9b9o18bobo$8bo8b21o5bo$6bo10b2o19b2o3bobo$6bo7bo22b8o$8bo5bob2o17bo2bo6b2o$9b7o19bob8o$10bo2b2o3b19o6bobo$8b2o3bobobo3bo12b2o7bo$8b2ob3o7bobo9bo$10b2ob3ob6o8bo4b9o3bo$9b2o7bo4b2o6bo4b10o2bobo$7bo3bob3ob6o10bo11b5o$7bo2b4o7bobo10b2o7bo6b2o$9bo3bob2o4bo18bo2bob5o$13b2o8b12o3bo2b4o3bobo$15bo8bo13bo3b2o4bo$14b10o10b2o4b2o$13bo8bob2o8b3ob3obo$11bo10bo13b3obo$11bo7bo5b9o2b5o$13bo5bob2obo6bo7bobo$14b7o7bo2bob3o3bo7bo$15bo2b2o3b2obo2b4o14bobo$13b2o3bobobo4b4obo3b13o$13b2ob3o5bo5b3o2bo3bo9b2o7bo$15b2ob3o4b2o2bobobo5bobo6b4o6bobo$14b2o7b5o3bo3b6o6bo2bob8o$12bo3bob3obo3bobob6o5b2o2bo4bo2bo6b2o$12bo2b4o7bo9b5o4bo6b8o$14bo3bobo9b6o3bobo5bo10bobo3bo$18b2o9bo4bobo2bo8b4o6bo5bobo$20b2o5bo6bo14bo10b6o$19b4o4bob20o3b9o5b2o$18bo2bob6obo16bobobo3bo5b5o$16bo4bo2bo4bo17bo5bo2b5o3bobo$16bo6b6ob20o4b7o3bo$18bo5b2o2b2o22b4o5b7o$19b5o4b22obo3b6o$22bobob3o24bo5bobo5b2o4bo$18b2o2bo4b23o4b2o3bo7b3o3bobo$18b8obo24b5o12b6o$20b2ob4ob22obo3bob11o7b2o$19bo4b4o19bo5bo2bo12b6o$17bo4bobobo20bobo4b3o10b3o3bobo$17bo4bob25o3b4obo9b2o4bo$19bo4bo24b2o2b3o14b7o$20b4ob24o3b3o7bo5b3o10bo$23b2o22bobo4b3o5bobo3b2o6b2o3bobo6bo$21bo3bo21bo5bob9o12b7o7bobo2bo$21bo2b26obo3bo8b5ob7o6b9o3bobo$23bo28b2ob9o7bo5b6o9b5o$50b5o8b6ob7o5b10o5b2o$50b2o2bo8b2o10bobo2bo10b6o$54b2o13b2o4bo4bobo6bo5bobo$49b2ob4obo6b2o3b13o7bobo3bo$48bo4b4o7b6o12b9o$46bo4bobobo2b7o5b12o6b2o2b5o2bo$46bo4bob6o6b5o10bobo4bo5bo5bobo$48bo4bo5b6o3bobo9bo4bo4b3o3b5o$49b4ob5o4bobo2bo16bo4b3o3b3obo$52b2o3bobo3bo23bo5b4ob3obo$50bo3bo2bo30b2o2b4o4b2o$50bo2b38o3b2o2bo3b2o5bo$52bo36bob2o2bo2bo2b4o4bobo5bo$89bo4b2o4bo2bob6o6bobo5bo$92b4o7bo2bo4b8o6bobo$88b2obo3bobo7b6o8b8o4bo$87bo7b2o9b2o2b9o8b2o2bobo$85bo4b3o3bob8o4b2o5bobo6b7o$85bo4b5ob2o6bobo10bo6bo2bo5b2o$87bo5b3o2bo5bo4b2o3bo9bob7o$88b2obo2bo2b10obo5bob10o5bobo3bo$92b2o16b6obo8bo4bo5bobo2bo$87b2ob4ob2o9bo4bo4bo8b14o3bobo$86bo4b4o11bobob6ob2o4bo15b5o$84bo4bobobo2b12o7b2o6bob14o5b2o$84bo4bob6o11b2o3bo3bob6obo11b6o$86bo4bo5b11o5bo2b4o5bo12b2o2bobo8bo$87b4ob5o9bobo6bo3bobo2b2o16bo10bobo2bo$90b2o3bobo8bo12b2o3bobo10b2o5b11o3bobo$88bo3bo2bo24bob3o12b8o10b5o$88bo2b29ob2ob14o7b10o5b2o$90bo27bob2o16b7o9b6o$118bo3bob14o5bobo8b2o2bobo$121b4o11bobo4bo14bo$117b2obo3bobo9bo8b10o$116bo7b2o20bo5bo$114bo4b3o3bob19o6bob2o$114bo4b5ob2o17bob8o4bo$116bo5b3o2bo16bo9bo3bobo$117b2obo2bo2b21o6b7o$121b2o28bo8b2o$116b2ob4ob2o20b2o3bob7o$115bo4b4o22b7obo3bobo$113bo4bobobo2b22o6bo4bo$113bo4bob6o21b6ob2o$115bo4bo5b21o5b2o7bo$116b4ob5o19bobo2bo3bo6bobo$119b2o3bobo18bo4bo2b10o$117bo3bo2bo27bo10b2o$117bo2b43o$119bo41bobo$161bo!

Of particular note is the first one, which is quite small, so I'm surprised it wasn't found before:

Code: Select all

x = 14, y = 12, rule = B256/S025
7b2o$4b2obobo$3bobo2bobo$2bobob4obo$bob3o3b2obo$ob2o6b2obo$3b2o5b2o$2b
2obo2b3o$3b2obobo$4b2ob3o$5b3o2bo$6bo!

Also notable is the last one, which appears symmetric at first glance, but is actually asymmetric near the center:

Code: Select all

x = 165, y = 277, rule = B258/S02357
156bo$114bo41bobo$112bo2b43o$112bo3bo2bo27bo10b2o$114b2o3bobo18bo4bo2b
10o$111b4ob5o19bobo2bo3bo6bobo$110bo4bo5b21o5b2o7bo$108bo4bob6o21b6ob
2o$108bo4bobobo2b22o6bo4bo$110bo4b4o22b7obo3bobo$111b2ob4ob2o20b2o3bob
7o$116b2o28bo8b2o$112b2obo2bo2b21o6b7o$111bo5b3o2bo16bo9bo3bobo$109bo
4b5ob2o17bob8o4bo$109bo4b3o3bob19o6bob2o$111bo7b2o20bo5bo$112b2obo3bob
o9bo8b10o$116b4o11bobo4bo14bo$113bo3bob14o5bobo8b2o2bobo$85bo27bob2o
16b7o9b6o$83bo2b29ob2ob14o7b10o5b2o$83bo3bo2bo24bob3o12b8o10b5o$85b2o
3bobo8bo12b2o3bobo10b2o5b11o3bobo$82b4ob5o9bobo6bo3bobo2b2o16bo10bobo
2bo$81bo4bo5b11o5bo2b4o5bo12b2o2bobo8bo$79bo4bob6o11b2o3bo3bob6obo11b
6o$79bo4bobobo2b12o7b2o6bob14o5b2o$81bo4b4o11bobob6ob2o4bo15b5o$82b2ob
4ob2o9bo4bo4bo8b14o3bobo$87b2o16b6obo8bo4bo5bobo2bo$83b2obo2bo2b10obo
5bob10o5bobo3bo$82bo5b3o2bo5bo4b2o3bo9bob7o$80bo4b5ob2o6bobo10bo6bo2bo
5b2o$80bo4b3o3bob8o4b2o5bobo6b7o$82bo7b2o9b2o2b9o8b2o2bobo$83b2obo3bob
o7b6o8b8o4bo$87b4o7bo2bo4b8o6bobo$84bo4b2o4bo2bob6o6bobo5bo$47bo36bob
2o2bo2bo2b4o4bobo5bo$45bo2b38o3b2o2bo3b2o5bo$45bo3bo2bo30b2o2b4o4b2o$
47b2o3bobo3bo23bo5b4ob3obo$44b4ob5o4bobo2bo16bo4b3o3b3obo$43bo4bo5b6o
3bobo9bo4bo4b3o3b5o$41bo4bob6o6b5o10bobo4bo5bo5bobo$41bo4bobobo2b7o5b
12o6b2o2b5o2bo$43bo4b4o7b6o12b9o$44b2ob4obo6b2o3b13o7bobo3bo$49b2o13b
2o4bo4bobo6bo5bobo$45b2o2bo8b2o10bobo2bo10b6o$45b5o8b6ob7o5b10o5b2o$
18bo28b2ob9o7bo5b6o9b5o$16bo2b26obo3bo8b5ob7o6b9o3bobo$16bo3bo21bo5bob
9o12b7o7bobo2bo$18b2o22bobo4b3o5bobo3b2o6b2o3bobo6bo$15b4ob24o3b3o7bo
5b3o10bo$14bo4bo24b2o2b3o14b7o$12bo4bob25o3b4obo9b2o4bo$12bo4bobobo20b
obo4b3o10b3o3bobo$14bo4b4o19bo5bo2bo12b6o$15b2ob4ob22obo3bob11o7b2o$
13b8obo24b5o12b6o$13b2o2bo4b23o4b2o3bo7b3o3bobo$17bobob3o24bo5bobo5b2o
4bo$14b5o4b22obo3b6o$13bo5b2o2b2o22b4o5b7o$11bo6b6ob20o4b7o3bo$11bo4bo
2bo4bo17bo5bo2b5o3bobo$13bo2bob6obo16bobobo3bo5b5o$14b4o4bob20o3b9o5b
2o$15b2o5bo6bo14bo10b6o$13b2o9bo4bobo2bo8b4o6bo5bobo$9bo3bobo9b6o3bobo
5bo10bobo3bo$7bo2b4o7bo9b5o4bo6b8o$7bo3bob3obo3bobob6o5b2o2bo4bo2bo6b
2o$9b2o7b5o3bo3b6o6bo2bob8o$10b2ob3o4b2o2bobobo5bobo6b4o6bobo$8b2ob3o
5bo5b3o2bo3bo9b2o7bo$8b2o3bobobo4b4obo3b13o$10bo2b2o3b2obo2b4o14bobo$
9b7o7bo2bob3o3bo7bo$8bo5bob2obo6bo7bobo$6bo7bo5b9o2b5o$6bo10bo13b3obo$
8bo8bob2o8b3ob3obo$9b10o10b2o4b2o$10bo8bo13bo3b2o4bo$8b2o8b12o3bo2b4o
3bobo$4bo3bob2o4bo18bo2bob5o$2bo2b4o7bobo10b2o7bo6b2o$2bo3bob3ob6o10bo
11b5o$4b2o7bo4b2o6bo4b10o2bobo$5b2ob3ob6o8bo4b9o3bo$3b2ob3o7bobo9bo$3b
2o3bobobo3bo12b2o7bo$5bo2b2o3b19o6bobo$4b7o19bob8o$3bo5bob2o17bo2bo6b
2o$bo7bo22b8o$bo10b2o19b2o3bobo$3bo8b21o5bo$4b9o18bobo$2b10o19bo$2b2o
18bo$11b2o9bobo$b2o8b13o$b11o4bo7b2o$3b8o3bo2b7o$2bo11bo3bo3bobo$o9b2o
4b2o4bo$o9b3ob3ob2o7bo$2bo9b3obo10bobo3bo$3b7o2b5o2b10o4bobo$4bo10bobo
2bo8b6o$2b2o6b2o3bo3b10o6b2o$2b2o6b3o7b2o6b7o$4bo7b8o6bo6bobo$3b7o2b2o
4bobo3bo2bo5bo$2bo15bo5bo$o8b4o13b9o$o8b5o13bo3bo$2bo10b14o4bobo$3b6o
4b2o10bob6o$4bo20bo2bo4b2o$2b2o4b6o13b6o$2b2o4b7o16bobo$4bo9b14o3bo$3b
5o6b2o$2bo23bo$o6b2o4b2o11bobo$o6b3o3b15o$2bo6b5o14b2o$3b5o6b14o$4bo4b
5o12bobo$2b2o3b3o2bobo11bo$2b2o3b2o3bo$4bo$3b5o8bo$2bo13bobo9bo$o7b10o
10bobo$o5bo2bo8b12o$2bo3bob10o12b2o5bo$3b5o8bobo10b4o4bobo$5b2o9bo11bo
2bob6o$4bo21bo4bo2bo4b2o$2bo4b11o8bo6b6o$2bo4b21o9bobo$4bo13b8ob7o3bo$
5b2o10bo$15bo10b2o4bo$6b2o7bo10b3o3bobo2bo$6b11o11b6o3bobo$8b7ob11o7b
5o$7bo20b6o5b2o$5bo9b2o4bo4b3o4b6o$5bo9b3o3bobo2b2o3bo5bobo$7bo9b6o8bo
bo3bo$8b8o7b3ob6o$9bo7b6o5bo4b2o$7b2o6b3o4b4ob6o$7b2o6b2o3bo10bobo$9bo
10bobo2b2o4bo$8b7o2b5o3b3o$7bo9b3obo5b6o$5bo9b3ob3obobo$5bo9b2o4b2o3bo
4bo$7bo11bo3bo7bobo$8b8o3bo2b11o$6b11o4bo11b2o$6b2o8b17o$16b2o13bobo$
7b2o22bo$7b10o19bo$9b9o18bobo$8bo8b21o5bo$6bo10b2o19b2o3bobo$6bo7bo22b
8o$8bo5bob2o17bo2bo6b2o$9b7o19bob8o$10bo2b2o3b19o6bobo$8b2o3bobobo3bo
12b2o7bo$8b2ob3o7bobo9bo$10b2ob3ob6o8bo4b9o3bo$9b2o7bo4b2o6bo4b10o2bob
o$7bo3bob3ob6o10bo11b5o$7bo2b4o7bobo10b2o7bo6b2o$9bo3bob2o4bo18bo2bob
5o$13b2o8b12o3bo2b4o3bobo$15bo8bo13bo3b2o4bo$14b10o10b2o4b2o$13bo8bob
2o8b3ob3obo$11bo10bo13b3obo$11bo7bo5b9o2b5o$13bo5bob2obo6bo7bobo$14b7o
7bo2bob3o3bo7bo$15bo2b2o3b2obo2b4o14bobo$13b2o3bobobo4b4obo3b13o$13b2o
b3o5bo5b3o2bo3bo9b2o7bo$15b2ob3o4b2o2bobobo5bobo6b4o6bobo$14b2o7b5o3bo
3b6o6bo2bob8o$12bo3bob3obo3bobob6o5b2o2bo4bo2bo6b2o$12bo2b4o7bo9b5o4bo
6b8o$14bo3bobo9b6o3bobo5bo10bobo3bo$18b2o9bo4bobo2bo8b4o6bo5bobo$20b2o
5bo6bo14bo10b6o$19b4o4bob20o3b9o5b2o$18bo2bob6obo16bobobo3bo5b5o$16bo
4bo2bo4bo17bo5bo2b5o3bobo$16bo6b6ob20o4b7o3bo$18bo5b2o2b2o22b4o5b7o$
19b5o4b22obo3b6o$22bobob3o24bo5bobo5b2o4bo$18b2o2bo4b23o4b2o3bo7b3o3bo
bo$18b8obo24b5o12b6o$20b2ob4ob22obo3bob11o7b2o$19bo4b4o19bo5bo2bo12b6o
$17bo4bobobo20bobo4b3o10b3o3bobo$17bo4bob25o3b4obo9b2o4bo$19bo4bo24b2o
2b3o14b7o$20b4ob24o3b3o7bo5b3o10bo$23b2o22bobo4b3o5bobo3b2o6b2o3bobo6b
o$21bo3bo21bo5bob9o12b7o7bobo2bo$21bo2b26obo3bo8b5ob7o6b9o3bobo$23bo
28b2ob9o7bo5b6o9b5o$50b5o8b6ob7o5b10o5b2o$50b2o2bo8b2o10bobo2bo10b6o$
54b2o13b2o4bo4bobo6bo5bobo$49b2ob4obo6b2o3b13o7bobo3bo$48bo4b4o7b6o12b
9o$46bo4bobobo2b7o5b12o6b2o2b5o2bo$46bo4bob6o6b5o10bobo4bo5bo5bobo$48b
o4bo5b6o3bobo9bo4bo4b3o3b5o$49b4ob5o4bobo2bo16bo4b3o3b3obo$52b2o3bobo
3bo23bo5b4ob3obo$50bo3bo2bo30b2o2b4o4b2o$50bo2b38o3b2o2bo3b2o5bo$52bo
36bob2o2bo2bo2b4o4bobo5bo$89bo4b2o4bo2bob6o6bobo5bo$92b4o7bo2bo4b8o6bo
bo$88b2obo3bobo7b6o8b8o4bo$87bo7b2o9b2o2b9o8b2o2bobo$85bo4b3o3bob8o4b
2o5bobo6b7o$85bo4b5ob2o6bobo10bo6bo2bo5b2o$87bo5b3o2bo5bo4b2o3bo9bob7o
$88b2obo2bo2b10obo5bob10o5bobo3bo$92b2o16b6obo8bo4bo5bobo2bo$87b2ob4ob
2o9bo4bo4bo8b14o3bobo$86bo4b4o11bobob6ob2o4bo15b5o$84bo4bobobo2b12o7b
2o6bob14o5b2o$84bo4bob6o11b2o3bo3bob6obo11b6o$86bo4bo5b11o5bo2b4o5bo
12b2o2bobo8bo$87b4ob5o9bobo6bo3bobo2b2o16bo10bobo2bo$90b2o3bobo8bo12b
2o3bobo10b2o5b11o3bobo$88bo3bo2bo24bob3o12b8o10b5o$88bo2b29ob2ob14o7b
10o5b2o$90bo27bob2o16b7o9b6o$118bo3bob14o5bobo8b2o2bobo$121b4o11bobo4b
o14bo$117b2obo3bobo9bo8b10o$116bo7b2o20bo5bo$114bo4b3o3bob19o6bob2o$
114bo4b5ob2o17bob8o4bo$116bo5b3o2bo16bo9bo3bobo$117b2obo2bo2b21o6b7o$
121b2o28bo8b2o$116b2ob4ob2o20b2o3bob7o$115bo4b4o22b7obo3bobo$113bo4bob
obo2b22o6bo4bo$113bo4bob6o21b6ob2o$115bo4bo5b21o5b2o7bo$116b4ob5o19bob
o2bo3bo6bobo$119b2o3bobo18bo4bo2b10o$117bo3bo2bo27bo10b2o$117bo2b43o$
119bo41bobo$161bo!

I found it by manually stitching together two ends that were found in the same search. The ends were stitched at the exact center of the ship.

Finally, I have a photon that is made redundant by one of the above photons, but it is a smaller example for the rules it works in:

Code: Select all

:Matthias Merzenich, 2024:B24678/S235:B24678/S023578:1:0:1:172:36:55b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o2$52b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$55b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$51bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$50bo70bo$6b2o40b3o70b3o40b2o$50bo70bo$5bo2bo33b2o3bo2bo70bo2bo3b2o33bo2bo$b2o3bob3o35bo3bo70bo3bo35b3obo3b2o$6bobo32bo2bobo3bo70bo3bobo2bo32bobo$2b3o3bo2bo13b2o15bob3o3bo21b2o4b2o12b2o4b2o21bo3b3obo15b2o13bo2bo3b3o$3obo5bo27b2ob2obobo2b2o14b2o38b2o14b2o2bobob2ob2o27bo5bob3o$2b4o4bo12b3o15bob3ob5o9b2o7b3o3b3o14b3o3b3o7b2o9b5ob3obo15b3o12bo4b4o$b2ob4o2bo10b3ob3o11b4o2b4obobo13b3obobob3ob3o10b3ob3obobob3o13bobob4o2b4o11b3ob3o10bo2b4ob2o$ob2obo4bo12b3o11b3o2b4obob2o7b2ob2ob3ob7o2bo2b3o6b3o2bo2b7ob3ob2ob2o7b2obob4o2b3o11b3o12bo4bob2obo$2b2o2b2ob2o7b2ob3ob2o12b4o2b2o2b6o6b2o3b2o3bo3b6o10b6o3bo3b2o3b2o6b6o2b2o2b4o12b2ob3ob2o7b2ob2o2b2o$3b3ob2obo10bo2b2obo6b2ob3o2b4o2bo3bob3ob2ob2ob3o4b2obob2o2b2o8b2o2b2obob2o4b3ob2ob2ob3obo3bo2b4o2b3ob2o6bob2o2bo10bob2ob3o$4b3o2b3o7b4ob2o11bo2b2o2b2ob2obo2b2o3b2ob2ob2o5bob2o4b2obo6bob2o4b2obo5b2ob2ob2o3b2o2bob2ob2o2b2o2bo11b2ob4o7b3o2b3o$7bob2obo8b4o10b4obobo3bobob2o2b3ob2o2b2o6b4obo2b3o10b3o2bob4o6b2o2b2ob3o2b2obobo3bobob4o10b4o8bob2obo$3bo6bo7bo2bobo6b2o5b6o2bob3obo3b2ob2obo2bo3b4ob3obobo12bobob3ob4o3bo2bob2ob2o3bob3obo2b6o5b2o6bobo2bo7bo6bo$4bo4bobobo2b5obo4b2ob2ob3o5bob3ob2o2bo5b2o11bob2obob2o14b2obob2obo11b2o5bo2b2ob3obo5b3ob2ob2o4bob5o2bobobo4bo$4bob2obob2o5b2obob3ob2ob2obob2o4b2ob4obob2o3bo2bo9b2o2b2ob3o14b3ob2o2b2o9bo2bo3b2obob4ob2o4b2obob2ob2ob3obob2o5b2obob2obo$4bob2ob2ob2obo2bob6ob2o2b2ob2obo3bo2bobo2bobobo14bobobo2bo3b2o10b2o3bo2bobobo14bobobo2bobo2bo3bob2ob2o2b2ob6obo2bob2ob2ob2obo$3b2o2b2ob3ob4ob2o4b2o2bob2ob2o5bobobo5bo18bobobobobobob2o4b2obobobobobobo18bo5bobobo5b2ob2obo2b2o4b2ob4ob3ob2o2b2o$2bobobo2b2ob2o2b4o2bob2o6b3o6bobobo26bobobo3bob2ob2ob2obo3bobobo26bobobo6b3o6b2obo2b4o2b2ob2o2bobobo$4bobobo2bo2bo5bo2b3obobo3bo6b2o3bo28bo7b2ob2ob2o7bo28bo3b2o6bo3bobob3o2bo5bo2bo2bobobo$6bobobobob2o6b2ob3o2bobo6bobobobo37b2o2b2o37bobobobo6bobo2b3ob2o6b2obobobobo$8bobobobobo5bo3bobo3bo8bob3o38b4o38b3obo8bo3bobo3bo5bobobobobo$10bo3bo7bob3o3bobo10bobo3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o3bobo10bobo3b3obo7bo3bo$22bob2obob2obo3b2o2bobob3o78b3obobo2b2o3bob2obob2obo$21b2o2bo3bob2o8b2ob2obob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob2ob2o8b2obo3bo2b2o$20bobobobobob2ob2ob2obo2bo2bo3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o3bo2bo2bob2ob2ob2obobobobobo$22bobobo4b4o4b2obobobobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobobobob2o4b4o4bobobo$24bo5bo4bo2bobobobobo78bobobobobo2bo4bo5bo$40bo3bo82bo3bo!

I'll give more details on this project later.

-Matthias Merzenich

amling: Posts: 1154; Joined: April 2nd, 2020, 9:47 pm

Re: Life-like p1 photon project

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Post by amling » October 20th, 2024, 6:00 pm

Sokwe wrote: ↑

October 19th, 2024, 7:11 am

I checked the remaining B2 rule space for p1 photons. Here is the full list of unsolved rules (181 rules in total, with related rules grouped together):

Code: Select all

B2578/S1345
B2578/S13458
B257/S134578
B2578/S134578
B258/S134578
B25/S134578
B257/S13457
B2578/S13457
B258/S13457
B25/S13457

B2467/S1345
B2467/S13458

B24678/S134568
B2467/S134568
B247/S134568
B2478/S134568

B247/S13456
B2478/S13456
B248/S13456
B24/S13456

B268/S1346
B26/S1346
B268/S13468
B26/S13468

B2457/S1346
B2457/S13468

B2458/S13467

B2568/S1347
B2568/S13478
B2568/S1348
B2568/S134

B246/S1578
B2468/S1578
B24678/S1578
B2467/S1578
B246/S157
B2468/S157
B24678/S157
B2467/S157
B246/S1567
B2468/S1567
B24678/S1567
B2467/S1567
B246/S15678
B2468/S15678
B24678/S15678
B2467/S15678

B24567/S0156
B24567/S01568

B257/S014568
B2578/S014568
B258/S014568
B25/S014568
B257/S01456
B2578/S01456
B258/S01456
B25/S01456

B257/S0147
B2578/S0147
B258/S0147
B25/S0147
B257/S01478
B2578/S01478
B258/S01478
B25/S01478
B257/S0148
B2578/S0148
B258/S0148
B25/S0148
B257/S014
B2578/S014
B258/S014
B25/S014

B246/S0134
B2467/S0134
B246/S01348
B2467/S01348
B246/S013478
B2467/S013478
B246/S01347
B2467/S01347

B248/S013467
B248/S013468
B248/S01346

B247/S0136
B2478/S0136
B248/S0136
B24/S0136
B247/S01368
B2478/S01368
B248/S01368
B24/S01368
B247/S013678
B2478/S013678
B248/S013678
B24/S013678
B247/S01367
B2478/S01367
B248/S01367
B24/S01367
B247/S0137
B2478/S0137
B248/S0137
B24/S0137
B247/S01378
B2478/S01378
B248/S01378
B24/S01378
B247/S0138
B2478/S0138
B248/S0138
B24/S0138
B247/S013
B2478/S013
B248/S013
B24/S013

B246/S0137
B2468/S0137
B246/S01378
B2468/S01378
B246/S0138
B2468/S0138
B246/S013
B2468/S013

B267/S0256
B2678/S0256
B268/S0256
B26/S0256
B267/S02568
B2678/S02568
B268/S02568
B26/S02568

B248/S0257
B24/S0257
B248/S02578
B24/S02578
B247/S0258
B2478/S0258
B248/S0258
B24/S0258
B247/S025
B2478/S025
B248/S025
B24/S025

B257/S0247
B2578/S0247
B258/S0247
B25/S0247
B257/S02478
B2578/S02478
B258/S02478
B25/S02478
B257/S0248
B2578/S0248
B258/S0248
B25/S0248
B257/S024
B2578/S024
B258/S024
B25/S024

B2568/S0235
B25678/S0235
B2567/S0235
B257/S0235
B2578/S0235
B2568/S02358
B25678/S02358
B2567/S02358
B257/S02358
B2578/S02358

B246/S0235
B2468/S0235
B246/S02358
B2468/S02358

B246/S02357
B2468/S02357

B25678/S023567
B2567/S023567

B2456/S023568
B2456/S02356

B246/S02367

I gave these a quick pass on my laptop with just 10s per rule per geometry and LLSSS searches with the twisted f2b-like geometry with U=X+Y (raw:1:1:0:0:-1:1:0:0:1) eliminated the following:

Code: Select all

B25/S014
B25/S0147
B25/S01478
B25/S0148
B2567/S0235
B2567/S02358
B258/S014
B258/S0147
B258/S01478
B258/S0148
B26/S1346
B26/S13468
B268/S1346
B268/S13468

It also found a bunch of (f2b) wick stretchers, (b2f) wick destretchers, and s2s pyramids which are going to make eliminating the associated rules somewhat more difficult. I'm just starting the 1 minute searches now which will take something like 10 hours (after restricting to remaining rules and removing anything I know cannot complete due to almost half planes).

Sokwe: Moderator; Posts: 3367; Joined: July 9th, 2009, 2:44 pm

Re: Spaceships in Life-like cellular automata

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Post by Sokwe » October 20th, 2024, 10:19 pm

amling wrote: ↑
October 20th, 2024, 6:00 pm
I gave these a quick pass on my laptop with just 10s per rule per geometry and LLSSS searches with the twisted f2b-like geometry with U=X+Y (raw:1:1:0:0:-1:1:0:0:1) eliminated the following:
...
It also found a bunch of (f2b) wick stretchers, (b2f) wick destretchers, and s2s pyramids which are going to make eliminating the associated rules somewhat more difficult. I'm just starting the 1 minute searches now which will take something like 10 hours (after restricting to remaining rules and removing anything I know cannot complete due to almost half planes).

Thanks! One of the geometries I've been using is raw:1:1:2:1:0:1:0:-1:0, which I think is functionally equivalent to raw:1:1:0:0:-1:1:0:0:1, but you probably would find it less elegant due to the direction of W. I've mostly used s2s (~3400 rules) and raw:0:1:2:1:0:1:0:0:1 (~2000 rules), but I've had to use a handful of other geometries as well. Here is the full list of geometries I've used:

Code: Select all

c1-f2b
c1-b2f
c1-s2s
raw:0:1:2:1:0:1:0:0:1
raw:0:1:2:1:0:1:0:0:-1
raw:0:1:3:1:0:1:0:0:1
raw:0:2:3:1:0:1:0:1:4
raw:1:1:2:1:0:1:0:1:0
raw:1:1:2:1:0:1:0:-1:0
raw:1:2:2:1:0:1:0:1:0
raw:1:2:2:1:0:1:0:-1:0

Obviously, I haven't tested all of these geometries on all remaining rules, or I would have already eliminated the rules that you just eliminated. Unfortunately, my ability to construct valid geometries is very limited, so if some other geometry is required to eliminate some of the remaining rules, I probably won't be able to solve it.

When I get things organized, I intend to post the lists of rules I eliminated with each geometry. Most of the disproofs ran very quickly, but there were a few exceptions, such as B256/S02358, which took hours with raw:1:1:2:1:0:1:0:1:0, as I recall. B256/S0235 might also take hours, but it's covered by the B256/S02358 disproof.

I intend to group the remaining rules by whether or not I think they're likely to have p1 photons. For example, B2578/S13458 seems like it almost certainly doesn't have a p1 photon, based on a c1-s2s search.

On the other hand, B246/S02357 seems like it probably has p1 photons based on the size and shape of the longest partial result from the width 48 c1-s2s recentering search:

Code: Select all

x = 66, y = 139, rule = B246/S02357
20bo$14bo4bo$12bo2b7o$12bo3bo$14b5ob3o$11b2ob2ob3o$11b4obo2bob3o$9bob
5ob2obo$9bo5bo2b3ob3o$12b2ob2o3b3o$12b5o2b2o2bo$14bo2bo3bo4bo4bo$13b
11obo4bo$12bo14b6o$10bo13bob2o$10bo12bo4bob2o$9b21o$8bo21b3o$6bo23bo$
6bo21bob4o$8bo19bo$4bob2o23b2o$4bob2o23b3o$8bo20bob3obo$6bo16bo5bo4bo$
6bo15bo9b3o14bo$5b20o7b2obo2bo9bo$4bo26b2ob3o2b12o4bo$2bo22b9ob2o3bo
13bo$2bo21bo7bo3bo3bo10b6o$4bo17bo10b4o5bo8bo$ob2o18bo12b2o6b8obob2o$o
b2o17b12o3bo13b4o$4bo15bo9bo5b7o9b3o$2bo15bo12bo8bo10b4obo$2bo15bo16b
3ob5o3bo3bo3bo$4bo15bo13bo11bo3b2o3b3o$ob2o12bob2o12bo5bo5b5o2b4o$ob2o
12bob2o12bo4bo6b2ob5obob2o$4bo15bo10b9o7bo4bo$2bo15bo11bo12b5o4b6o$2bo
15bo9bo11b4o2b2o7bo$4bo15bo7bo11b3o2b7o4bo$ob2o12bob2o10bo7bob2ob2o2bo
bo$ob2o12bob2o6bob2o8bo5b2obo2bo$4bo15bo5bob2o11bo2b2o$2bo15bo11bo10bo
b2o$2bo15bo9bo14bo$4bo15bo7bo14b2obo$ob2o12bob2o10bo13b2o$ob2o12bob2o
6bob2o14b4o$4bo15bo5bob2o13b2o$2bo15bo11bo12bo2b3o$2bo15bo9bo13b2ob2o$
4bo15bo7bo11bo2b7o$ob2o12bob2o10bo9bo2b5o$ob2o12bob2o6bob2o12b2ob2obo$
4bo15bo5bob2o14bo$2bo15bo11bo5bo4b4obo$2bo15bo9bo6bo5b3obo$4bo15bo5bo
2bob7o2b2ob2obobo$ob2o12bob2o5bo2b3o9bo2b5o$ob2o12bob2o3bo3b3o8b2ob3o
2b4o$4bo15bo2bo4bob2o6b2o4bobo$2bo15bo6bobo7bo4b3o3b3o$2bo11bo3bo7b7o
2bob8o$4bo8bo6bo9bo6b3o3b5o$5b11o5b5o5bo5b2obob4o$6bo16bo19bob4o$6bo9b
5o3bo11b5o2bo$8bo6bo2bo16bo2bo7b2o$4bob2o5bo5bo13bo5bo6b3o$4bob2o5bo
19bo10bob3obo$8bo6bo19bo8bo4bo$6bo4bob2o16bob2o12b3o$6bo4bob2o16bob2o
12b2obo$8bo6bo19bo$4bob2o5bo19bo14bo$4bob2o5bo19bo13bo$8bo6bo16b18o$6b
o4bob2o16bo12bo$6bo4bob2o14bo15bob2o$8bo6bo13bo12bob3o$4bob2o5bo17bo9b
o5b3o$4bob2o5bo13bob2o8bo3bo3bo$8bo6bo11bob2o8bo4b3obo$6bo4bob2o16bo9b
ob4o$6bo4bob2o14bo6bo5b4o$8bo6bo13bo5bo3bob2o$4bob2o5bo14b10o2b5o$4bob
2o5bo8bo4bo11b2o2b3o$8bo6bo5bo3bo12b5o2b2o$6bo9b8o2bob14ob2ob2o$6bo18b
3o11b2ob3ob2obo$5b11o8b3o13b2obo4bo$4bo8bo10bo13b3o3b5o$2bo11bo7bob4o
10b2o3b5obo$2bo19bo20bo$4bo20b2o12bobob3obo$ob2o21b3o11bobo2b3o$ob2o
19bob3obo14bo2bobo$4bo18bo4bo12b2ob5o$2bo23b3o12b5ob4o$2bo17bo5b2obo8b
o4bo3bo$4bo14bo16bo2b2o3bo2b3o$5b17o5bo8bo$6bo19bo11b4o6b3o$6bo15b7o
10bo4bo3bo$8bo12bobo13b6o2b3obo$4bob2o11bo4bob2o8bo7b4o$4bob2o11bo3b3o
8bo8b4o$8bo12bo2b3o6bo2b2o5bo$6bo15bo2bob9o5bob3o$6bo17bo6bob2ob3o2bo$
8bo17bo5bo11b3o$4bob2o14bob2o4b2ob5o6b4o$4bob2o14bob2o4b2o2bo12b2o$8bo
17bo5b5o8b2ob2o2bo$6bo17bo6bo13b2ob2obo$6bo17bo4bo7b8obob6o$8bo17bo2bo
7b8ob2obo$4bob2o14bob2o5bo13b4o2b2o$4bob2o14bob2o6b5o8b6o$8bo17bo3b2o
2bo9b2ob3ob3o$6bo17bo5b2ob5o4bo2bo2b2obo$6bo8bo8bo7bo9bo2b2o2bob4o$8bo
5bo11bo4bob2ob3o5b3o2b2o$9b8o10b9o10bo3bob2o$10bo22bo2b2o5b3obobobo$
10bo6b10o7bo5bo2b3o5b2o$12bo3bo6bo12bo3bob2obob3o2b2o$13b5ob2ob4o6bob
2o6bo2b3o3bob2o$14bob2ob3o10bob2o6b2o3bo2b3ob2o$14bo2bob4ob3o9bo2bo3b
4obo2b3ob2o$17b2ob3obo5bob6o2b2o4b9ob2o$18bobobob4o2bob4ob3o3bob2o5b4o
b2o4bo$18b2obob3o11b2ob3o3bo6b4ob2o2bo$17b5o3b4ob4obo6b5o4b4o2b2ob5o$
17bo2bob3ob4o6bo2bo5b2o4bobobo3b3ob3o!

Unfortunately, a width-49 search also finds nothing (I didn't save the longest partial result, but it was similar), and width-50 search takes too much memory for my laptop.

Other rules, such as B2458/S13467, I'm quite unsure about. I personally hope there is a ship, but if so, it's beyond my ability to find.

One thing to note is that if a p1 photon works in a rule without B8 or without S8, then it also works in the rule with B8 or S8 added, so for example a nonexistence proof in B248/S013478 will cover the whole range B24/S01347-B248/S013478. However, there are cases where a rule with B8 or S8 has a p1 photon, while the rule with B8 or S8 removed does not. For example, B248/S0134678 has a p1 photon, but B24/S0134678 does not. Likewise, B245/S134678 has a p1 photon, but B245/S13467 does not.

Let me know if you have any other thoughts on this project.

-Matthias Merzenich

amling: Posts: 1154; Joined: April 2nd, 2020, 9:47 pm

Re: amling search program principles discussion / brain dump

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Post by amling » October 21st, 2024, 5:43 pm

Sokwe wrote: ↑
October 13th, 2024, 3:13 am
As another example, I'm fairly sure that B25/S13457 and B25/S134578 have no p1 photons, but it probably has almost half planes at all angles. A side-to-side search quickly gives a growing pyramid and absolutely nothing else, so it seems like there couldn't possibly be a solution. However f2b-like searches run into a simple wickstretcher, and b2f-like searches seem to either run into the s2s pyramid or an even simpler b2f pyramid.

Because the side-to-side pyramid is built so quickly, I imagine that there is some sort of local restriction that forces the pyramid to continue. It could possibly be proven that the pyramid is forced in an arbitrary-width s2s search, but it might be difficult.

I was thinking about this some more and I think I've got it, although not in the way I (we?) thought. For starters, I expanded what WAO was doing manually and filled in a bunch of "u" columns so I could see unique cells. Inputs something like:

Code: Select all

| LLLuuuuuuuuuuuuuuuuuuuuuRRRRR |
| ............................. |
| ............................. |
| .............*WWWWWWWWWWWWW.. |

...only much wider. Looking at the sequence of successive "Unique" views you can see the pyramid unfold and slowly force even the zeros around it, e.g.:

Code: Select all

20241021 14:08:20 [INFO] Unique:
20241021 14:08:20 [INFO] | ......................................................................................................................................................................................................... |
20241021 14:08:20 [INFO] | ......................................................................................................................................................................................................... |
20241021 14:08:20 [INFO] | ....................................................................................................*............................................................?.?????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????...?.......................................................*............................................................?????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????.?........................................................*.***.......................................................???????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ????????????????????????????????????????.???.....................................................*.**.......................................................????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????????.......................................................*.***....................................................?????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ?????????????????????????????????????????.???.......................................................**....................................................??????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ????????????????????????????????????????????....................................................*.**.***................................................?...????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ??????????????????????????????????????????.???................................................*......**................................................?.???????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ?????????????????????????????????????????????................................................*.***.**.***..............................................?.???????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????????.???..............................................*.**.....**................................................????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ??????????????????????????????????????????????................................................*.***.**.***.............................................?????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ????????????????????????????????????????????.???................................................**.....**.............................................??????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????????????.............................................*.**.***.**.***.........................................?...????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ?????????????????????????????????????????????.???.........................................*......**.....**.........................................?.???????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ????????????????????????????????????????????????.........................................*.***.**.***.**.***.......................................?.???????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ??????????????????????????????????????????????.???.......................................*.**.....**.....**.........................................????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ?????????????????????????????????????????????????.........................................*.***.**.***.**.***......................................?????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????????????.???.........................................**.....**.....**......................................??????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ??????????????????????????????????????????????????......................................*.**.***.**.***.**.***..................................?...????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ????????????????????????????????????????????????.???..................................*......**.....**.....**..................................?.???????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????????????????..................................*.***.**.***.**.***.**.***................................?.???????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ?????????????????????????????????????????????????.???................................*.**.....**.....**.....**..................................????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ????????????????????????????????????????????????????..................................*.***.**.***.**.***.**.***...............................?????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ??????????????????????????????????????????????????.???..................................**.....**.....**.....**...............................??????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ?????????????????????????????????????????????????????...............................*.**.***.**.***.**.***.**.***...........................?...????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????????????????.???...........................*......**.....**.....**.....**...........................?.???????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ??????????????????????????????????????????????????????...........................*.***.**.***.**.***.**.***.**.***.........................?.???????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ????????????????????????????????????????????????????.???.........................*.**.....**.....**.....**.....**...........................????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????????????????????...........................*.***.**.***.**.***.**.***.**.***........................?????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ?????????????????????????????????????????????????????.???...........................**.....**.....**.....**.....**........................??????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ????????????????????????????????????????????????????????........................*.**.***.**.***.**.***.**.***.**.***....................?...????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ??????????????????????????????????????????????????????.???....................*......**.....**.....**.....**.....**....................?.???????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ?????????????????????????????????????????????????????????....................*.***.**.***.**.***.**.***.**.***.**.***..................?.???????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????????????????????.???..................*.**.....**.....**.....**.....**.....**....................????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ??????????????????????????????????????????????????????????....................*.***.**.***.**.***.**.***.**.***.**.***.................?????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ????????????????????????????????????????????????????????.???....................**.....**.....**.....**.....**.....**.................??????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????????????????????????.................*.**.***.**.***.**.***.**.***.**.***.**.***.............?...????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ?????????????????????????????????????????????????????????.???.............*......**.....**.....**.....**.....**.....**.............?.???????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ????????????????????????????????????????????????????????????.............*.***.**.***.**.***.**.***.**.***.**.***.**.***...........?.???????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ??????????????????????????????????????????????????????????.???...........*.**.....**.....**.....**.....**.....**.....**.............????????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ?????????????????????????????????????????????????????????????.............*.***.**.***.**.***.**.***.**.***.**.***.**.***..........?????????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????????????????????????.???.............**.....**.....**.....**.....**.....**.....**..........??????????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ??????????????????????????????????????????????????????????????..........*.**.***.**.***.**.***.**.***.**.***.**.***.**.***......?...????????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ????????????????????????????????????????????????????????????????......*......**.....**.....**.....**.....**.....**.....**......?.???????????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????????????????????????????......*.***.**.***.**.***.**.***.**.***.**.***.**.***.**.***....?.???????????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ?????????????????????????????????????????????????????????????????....*.**.....**.....**.....**.....**.....**.....**.....**......????????????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ????????????????????????????????????????????????????????????????......*.***.**.***.**.***.**.***.**.***.**.***.**.***.**.***...?????????????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ??????????????????????????????????????????????????????????????????......**.....**.....**.....**.....**.....**.....**.....**...??????????????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ?????????????????????????????????????????????????????????????????...*.**.***.**.***.**.***.**.***.**.***.**.***.**.***.**.***..?????????????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ???????????????????????????????????????????????????????????????.??*......**.....**.....**.....**.....**.....**.....**.....**..??????????????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ??????????????????????????????????????????????????????????????????.??*.**.***.**.***.**.***.**.***.**.***.**.***.**.***.**.***??????????????????????????????????????????????????????????????????????????? |
20241021 14:08:20 [INFO] | ?????????????????????????????????????????????????????????????????????.....**.....**.....**.....**.....**.....**.....**.....*????????????????????????????????????????????????????????????????????????????? |

Then I thought maybe a similar trick could show a strip of the pyramid with some amount of fixed space around it could force itself plus space plus one extra cycle of the middle, 6 rows later. I could not get this to work out for any amount of spacing. Most searches with one space in the back forced the back uniquely pretty quickly but the front seemed to lose. Starting with more and more space would force more and more pyramid but never the same amount of space.

To be fully explicit this was starting with inputs like...

Code: Select all

| AAAAAuuuuuuuuuuuuuuuuuuuuuuuuuuBCDEFGHBCDEFGHuuuuuuuIJKLMNOIJKLMNOuuuuuuuuuuuuuuuuPPPPP |
| ..WWWWWWWWWWW..........*.***.**.***.**.***.**.***.**.***.**.***.**.***..........WWWWW.. |
| ..WWWWWWWWWWW..........*.**.....**.....**.....**.....**.....**.....**...........WWWWW.. |

Here I've guessed 10 space on the left and right and have left a few more "u" columns of wildcards outside of that so I'll be able to see if it eventually forces what I want in later rows. The extra block of u's in the middle is to show that the middle parts are also forced to extend as expected. This produces unique snapshots like this:

Code: Select all

20241021 14:19:14 [INFO] Unique:
20241021 14:19:14 [INFO] | ????????..........*.***.**              .***.**              .***..........?? |
20241021 14:19:14 [INFO] | ????????..........*.**....              .**....              .**...........?? |
20241021 14:19:14 [INFO] | ????????????.......*.***.*              *.***.*              *.***........??? |
20241021 14:19:14 [INFO] | ????????????.........**...              ..**...              ..**.........??? |
20241021 14:19:14 [INFO] | ????????????.....*.**.***.              **.***.              **.***........?? |
20241021 14:19:14 [INFO] | ????????????...*......**..              ...**..              ...**.........?? |
20241021 14:19:14 [INFO] | ????????????..*.***.**.***              .**.***              .**.***........? |
20241021 14:19:14 [INFO] | ????????????..*.**.....**.              ....**.              ....**.........? |
20241021 14:19:14 [INFO] | ????????????...*.***.**.**              *.**.**              *.**.***......?. |
20241021 14:19:14 [INFO] | ???????????......**.....**              .....**              .....**......??? |
20241021 14:19:14 [INFO] | ??????????.?.*.**.***.**.*              **.**.*              **.**.***....??? |
20241021 14:19:14 [INFO] | ????????????......**.....*              *.....*              *.....**......?? |
20241021 14:19:14 [INFO] | ???????????.*?*.**.***.**.              ***.**.              ***.**.***..???? |
20241021 14:19:14 [INFO] | ??????????????.....**.....              **.....              **.....**...???? |
20241021 14:19:14 [INFO] | ?????????..??*?*.**.***.**              .***.**              .***.**.***????? |
20241021 14:19:14 [INFO] | ???????????????.....**....              .**....              .**.....**..???? |
20241021 14:19:14 [INFO] | ??????????????*?*.**.***.*              *.***.*              *.***.**.***???? |
20241021 14:19:14 [INFO] | ????????????????.....**...              ..**...              ..**.....*?????? |

You can see the pyramid has been forced 6 rows later but not the space.

As I was fiddling with this I noticed that the back tended to force itself plus one space very quickly and so on a whim I decided to try the back alone with no restriction on what was in front of it either:

Code: Select all

| AAAAAuuuuuuuuBBBBB |
| ..WWW**.***.WWWW.. |
| ..WWW...**..WWWW.. |

This quickly produces snapshots like:

Code: Select all

20241021 14:36:28 [INFO] Unique:
20241021 14:36:28 [INFO] | **.***.? |
20241021 14:36:28 [INFO] | ...**... |
20241021 14:36:28 [INFO] | .**.***. |
20241021 14:36:28 [INFO] | ....**.. |
20241021 14:36:28 [INFO] | *.**.*** |
20241021 14:36:28 [INFO] | .....**. |
20241021 14:36:28 [INFO] | ?*.**.** |
20241021 14:36:28 [INFO] | ?.....** |
20241021 14:36:28 [INFO] | ????*??* |
20241021 14:36:28 [INFO] | ???.?.?* |
20241021 14:36:28 [INFO] | ???????? |

...which shows those 7 columns have forced themselves 2 rows down, no matter what (finite) pattern was in front of or behind them in the first two rows. Coupled with the original from zeros searches showing those 7 columns are forced at least once, I believe this completes a proof of no finite c/1 (p1) ships for B25/S13457.

EDIT: The same argument goes through identically in B25/S134578 but not if you add B8 due to stuff like this:

Code: Select all

20241021 14:53:25 [INFO] Random[ish] partial:
20241021 14:53:25 [INFO] | ....*****.**.***.**.***...........*.*.***... |
20241021 14:53:25 [INFO] | ....*........**.....**...............****... |
20241021 14:53:25 [INFO] | .........*.**.***.**.**************....***.. |
20241021 14:53:25 [INFO] | .......*......**.....**.**********....*..... |
20241021 14:53:25 [INFO] | ......*.***.**.***.**.************...*..*... |
20241021 14:53:25 [INFO] | ......*.**.....**.....*************..*...... |
20241021 14:53:25 [INFO] | .......*.***.**.***.**................****.. |
20241021 14:53:25 [INFO] | .........**.....**...............*.******... |
20241021 14:53:25 [INFO] | .....*.**.***.**.***.*.*......*..***.****... |
20241021 14:53:25 [INFO] | ...*......**.....**...........************.. |
20241021 14:53:25 [INFO] | ..*.***.**.***.**.***.*.*******............. |
20241021 14:53:25 [INFO] | ..*.**.....**.....**......*..***...*....*... |

The s2s search from zeros still turns into uniquely pyramid quite fast and clears the space around itself in the same pattern so I would personally expect no finite patterns but it will take some other trick to prove it.

amling: Posts: 1154; Joined: April 2nd, 2020, 9:47 pm

Re: amling search program principles discussion / brain dump

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Post by amling » October 22nd, 2024, 7:34 pm

amling wrote: ↑
October 21st, 2024, 5:43 pm

Sokwe wrote: ↑
October 13th, 2024, 3:13 am
As another example, I'm fairly sure that B25/S13457 and B25/S134578 have no p1 photons, but it probably has almost half planes at all angles. A side-to-side search quickly gives a growing pyramid and absolutely nothing else, so it seems like there couldn't possibly be a solution. However f2b-like searches run into a simple wickstretcher, and b2f-like searches seem to either run into the s2s pyramid or an even simpler b2f pyramid.

Because the side-to-side pyramid is built so quickly, I imagine that there is some sort of local restriction that forces the pyramid to continue. It could possibly be proven that the pyramid is forced in an arbitrary-width s2s search, but it might be difficult.
...those 7 columns have forced themselves 2 rows down, no matter what (finite) pattern was in front of or behind them in the first two rows. Coupled with the original from zeros searches showing those 7 columns are forced at least once, I believe this completes a proof of no finite c/1 (p1) ships for B25/S13457.

...

The same argument goes through identically in B25/S134578 but not if you add B8...

I've got this worked out I believe, although it required a moderate amount of custom code.

Step 1 is to run the from-zeros WAO search similar to above, but dump out the full selection of 2x7 blocks that appear at some depth. 7 picked more or less from a hat (code changes to make 8 work require mucking with u256 which I did not want) and I suspect less would do. Depth picked to be 20, again more or less at random. I let the search run a bit to convince myself the set of remaining blocks was stable. This produced 76 blocks and is a proof that any almost half plane must, at depths [20, 22), be made up of these 2x7 blocks.

Step 2 is to run a new custom search started with a special state file crafted to represent any chimeric recombination of those 76 blocks. I run an arbitrary width search here until the depth [1, 3) blocks are all contained in the set of 76. This shows that any half plane with a 2-tall strip made up of these blocks most be made up of these blocks in the next 2-tall strip, and thus forever downwards.

Now I rig it to analyze all observed neighbor relationships between these blocks (left/right w/in depths [0, 2) and up/down from depths [0, 2) to depths [1, 3)). Again, any half plane that starts with a 2-tall strip of these 76 blocks will be constrained to meet these neighbor rules globally. Again, I let the search run until output stabilizes. Among the output we find...

Code: Select all

Block #43:
  Cells:
    | .**.... |
    | .***... |
  Right neighbors: [74]
  Left neighbors: [43]
  Down neighbors: [56]

This is a 2x7 block we know is forced to exist due to the original work with the from-zero WAO searches. The "down neighbors" tells us the only 2x7 block that can follow it downwards is this one:

Code: Select all

Block #56:
  Cells:
    | *.***.. |
    | .**.... |
  Right neighbors: [66]
  Left neighbors: [56]
  Down neighbors: [60]

...which leads down to...

Code: Select all

Block #60:
  Cells:
    | ..**... |
    | *.***.. |
  Right neighbors: [43]
  Left neighbors: [60, 68]
  Down neighbors: [53]

...which leads right back to block #43. So in a half plane that starts with all 2x7 blocks drawn from the set of 76, all instances of block #43 are followed 2 down and one right by itself. It is possible a more careful analysis of the blocks and their transitions could prove that the s2s pyramid is the only s2s almost half plane but block #43 forcing itself is enough to get no finite ships.

Unfortunately it's a fair amount of custom code that I'm not really sure how/if I should ship. I've pushed 20241022-nega-hax-02 to codeberg if anyone wants to look at it. It's possible we encounter other rules that have similar forcing blocks at some angle so we should keep it in mind during the rest of this p1 photons project.

EDIT: Keen observers may note that I screwed up the outputs in two ways: the rows are flipped top to bottom and the "left neighbors" are totally wrong.

The former is a graphical mistake only and is due to the display code wanting the bits in the reversed order.

The latter is due to a copy/paste error from the right neighbors code where I up right neighbor SL2s of left neighbor SL1s rather than left neighbor SL2s of left neighbor SL1s. You can see each block thinks it has itself as a left neighbor which is in most cases nonsense. None of this matters for the proof above since we only use down and right neighbors but to analyze the forcing more extensively I will fix it (locally).

Last edited by amling on October 22nd, 2024, 8:25 pm, edited 1 time in total.

Sokwe: Moderator; Posts: 3367; Joined: July 9th, 2009, 2:44 pm

Re: amling search program principles discussion / brain dump

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Post by Sokwe » October 22nd, 2024, 7:45 pm

amling wrote: ↑
October 22nd, 2024, 7:34 pm

amling wrote: ↑
October 22nd, 2024, 7:34 pm
same argument goes through identically in B25/S134578 but not if you add B8...
I've got this worked out I believe, although it required a moderate amount of custom code....

Very interesting! Can the same method be applied to the following nearby rules which have the same seemingly forced pyramid?

Code: Select all

B2578/S1345
B2578/S13458
B257/S13457
B2578/S13457
B257/S134578
B2578/S134578

Presumably you would only need to prove nonexistence in the cases of B2578/S13458 and B2578/S134578, as the remaining cases would follow from these.

Edit: to clarify, would you say this constitutes a proof of nonexistence of p1 photons in B258/S134578? I'm a little unsure of these statements and how they might affect the rigor of the proof:

amling wrote: ↑
October 22nd, 2024, 7:34 pm
I let the search run a bit to convince myself the set of remaining blocks was stable. This produced 76 blocks and is a proof that any almost half plane must, at depths [20, 22), be made up of these 2x7 blocks....

Again, I let the search run until output stabilizes.

-Matthias Merzenich

amling: Posts: 1154; Joined: April 2nd, 2020, 9:47 pm

Re: amling search program principles discussion / brain dump

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Post by amling » October 22nd, 2024, 8:21 pm

Sokwe wrote: ↑
October 22nd, 2024, 7:45 pm

amling wrote: ↑
October 22nd, 2024, 7:34 pm

amling wrote: ↑
October 22nd, 2024, 7:34 pm
same argument goes through identically in B25/S134578 but not if you add B8...
I've got this worked out I believe, although it required a moderate amount of custom code....
Very interesting! Can the same method be applied to the following nearby rules which have the same seemingly forced pyramid?
Code: Select all
B2578/S1345
B2578/S13458
B257/S13457
B2578/S13457
B257/S134578
B2578/S134578
Presumably you would only need to prove nonexistence in the cases of B2578/S13458 and B2578/S134578, as the remaining cases would follow from these.

Maybe? I'll hopefully take a look later tonight. The pyramid is gonna have to be self-forcing in a pretty strong sense for this to work.

EDIT: Oh yeah, it's really, really the same pyramid. Both B2578/S13458 and B2578/S134578 produced the exact same set of 76 2x7 blocks and the exact same force #43 -> #56 -> #60 -> #43. I also ran WAO-like (but with u's so I could see unique forced cells) from-zero searches and verified both rules are forced to have that block #43 so I believe this has proved no finite c/1 p1 photons in either of these rules as well.

Sokwe wrote: ↑
October 22nd, 2024, 7:45 pm
Edit: to clarify, would you say this constitutes a proof of nonexistence of p1 photons in B258/S134578? I'm a little unsure of these statements and how they might affect the rigor of the proof:
amling wrote: ↑
October 22nd, 2024, 7:34 pm
I let the search run a bit to convince myself the set of remaining blocks was stable. This produced 76 blocks and is a proof that any almost half plane must, at depths [20, 22), be made up of these 2x7 blocks....

Again, I let the search run until output stabilizes.

That is a reasonable concern and I almost rewrote/elaborated when I wrote that. In both case the set of observed data (blocks or transitions) was (guaranteed to be) strictly non-increasing. When the analysis first runs the search is not very deep and so a lot of options are still available. As it proceeds many of them die out and are no longer possible (essentially they have been proven to be uncontinuable). I do not have a rigorous way to decide when they have reached their exact limit but it does not matter: in both cases I am only using the observed data as an upper bound in what follows. E.g. it's possible (although unlikely) that some of those 76 2x7 blocks would be ruled out if the search pushed far enough but even just the upper bound of those 76 blocks is good enough to force itself in the next row, few enough legal block neighborings, etc.

EDIT: And to state it in the form of a complete sentence for clarity: it is my belief this work constitutes a disproof of the existence of c/1 (p1) photons in B258/S134578.

amling: Posts: 1154; Joined: April 2nd, 2020, 9:47 pm

Re: amling search program principles discussion / brain dump

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Post by amling » October 23rd, 2024, 5:26 pm

Sokwe wrote: ↑
October 22nd, 2024, 11:28 pm
...B2568/S13478...

I tried doing the 2x7 block trick here with no luck. I think the original from-zero search does stabilize in a set of 1255 2x7 blocks but when restarted with any combination of them they don't seem to force themselves one row down.

I did some major ugly hacking and got wider SL2s working again for very inefficient values of working. In particular the code is going to sling around the moral equivalent of huge arrays of u64s as if they were cheap scalars, e.g. for SL2 width 9 it will be size 8 arrays (2^9=512 bits). Unfortunately I could not get the 2x9 block sets to stabilize on my laptop here with only 64 GB of RAM.

Given that I could run SL2 width 9 searches it means it was within range to write a "forbidden block" filter that would be able to refuse those 2x8 and 2x9 blocks that we know self-propagate. As written this is a post-expand filter which is maybe less efficient than it could be but it's good enough to get the job done. Forbidding just these three known self-forcing blocks...

Code: Select all

*..***..*
*..*.*..*

*..**.*.
*..*.**.

.*.**..*
.**.*..*

...is enough to cause an arbitrary width from-zeros WAO search to terminate, with this longest partial:

Code: Select all

| ............................................................................... |
| ............................................................................... |
| ............................**................................................. |
| ...........................*..*................................................ |
| ............................***.**..**......................................... |
| ............................*.****.*..*..**........**.......................... |
| .....................**..**.*.*..*..***.*..*......*..*..**..................... |
| ....................*..*.***........*.*..**...**...***.*..*.................... |
| ............**..**...**..*.*..*.*.*.***..**.*.**.*.*.*..**...**..**............ |
| ...........*..*.**.*.**..***....*...*.*..*.***.*...***..**.*.**.*..*........... |
| ........**.***..*.***.*..*.*.*.**...***..**.*.**.....*..*.***.*..***.**........ |
| .........***.*..**.*.**..*.*...**.***.****.*.*.*....**..**.*.**..*.***......... |
| .........*.*.*..*.*.*.*..**....*.**.*.*.*.**.....**.**..*.*.*.*..*.*.*......... |

You can see it trying to cobble together a pattern w/o those juicy, juicy self-forcing blocks we see so much of in an unrestricted search.

With this I believe this completes a proof that there are no finite c/1 p1 ships for B2568/S13478.

I will hopefully have the changes to enable SL2 size up to 9 and "--filters forbid_block:<FILE>" pushed shortly which I think are the only new parts here. Still TBD on shipping the mess of hacks that did the previous rule with those 76 2x7 blocks.

EDIT: The same techniques complete the same way for B2568/S1348: the same three blocks self-propagate and WAO search forbidding them all terminates quickly with no results (although even forbidding just the first Sokwe found terminates just as quickly).

Last edited by amling on October 23rd, 2024, 7:53 pm, edited 1 time in total.

amling: Posts: 1154; Joined: April 2nd, 2020, 9:47 pm

Re: amling search program principles discussion / brain dump

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Post by amling » October 23rd, 2024, 7:20 pm

Below follows a somewhat more detailed guide to the proof of no finite c/1 p1 ships in B258/S134578. I've published the constituent pieces under "proj001" as there's just no sane way to make up a name for this bag of hacks (and plan to publish similar unnameable hacks as proj002, etc. going forward, where possible). All of this code is pushed to codeberg as of bfeb7b208367.

For starters it is necessary to run with AF2 (elsewhere called SL2, the history is complicated) larger than the default of 3. This is mostly update this line in `src/entry.rs`...

Code: Select all

type AF2 = NumberMarker<7>;

...but also hack out some compile errors regarding `convert_edge` and certain edges (like "even") that only work with AF2=3.

Now run a from-zeros search to verify that that one special 2x7 block is forced. I used this input file...

Code: Select all

| LLLLLLLuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuRRRRRRRRRRRRR |
| ................................................................................. |
| ................................................................................. |
| .....................................*WWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW...... |

...with command...

Code: Select all

rlife llsss-recentering c1-s2s --rule 'B258/S134578' s0.in XX

...and eventually got output...

Code: Select all

...
20241023 16:02:47 [WARNING] TB::AF2 wider than needed for CA check (TB::AF2::SIZE (7) > geom.nh_u_size (3))
...
20241023 16:02:48 [INFO] Unique:
20241023 16:02:48 [INFO] | ............................................................. |
20241023 16:02:48 [INFO] | ............................................................. |
20241023 16:02:48 [INFO] | ..............................*........?????????????????????? |
20241023 16:02:48 [INFO] | ??????????????????????......*........???????????????????????? |
20241023 16:02:48 [INFO] | ???????????????????????....*.***....????????????????????????? |
20241023 16:02:48 [INFO] | ???????????????????????....*.**.....????????????????????????? |
20241023 16:02:48 [INFO] | ?????????????????????????...*.***...????????????????????????? |
20241023 16:02:48 [INFO] | ?????????????????????????.....**...?????????????????????????? |
20241023 16:02:48 [INFO] | ??????????????????????????*?**.***??????????????????????????? |
20241023 16:02:48 [INFO] | ????????????????????????????...**.??????????????????????????? |
20241023 16:02:48 [INFO] | ?????????????????????????????*??*???????????????????????????? |
20241023 16:02:48 [INFO] | ????????????????????????????.?.?*???????????????????????????? |
...

The first shows the warning you'll get if AF2 is bigger than necessary. I've fixed all the places in the code that assumed AF2 was the geometry's nh_w_size so it can now be bigger. If it's smaller we wouldn't be able to adjudicate CA checks and if so configured it will still panic.

The unique snapshot shows that critical block as having been forced:

Code: Select all

.***...
.**....

Now let's try to guess that set of jointly self-forcing 2x7 blocks. With this input file...

Code: Select all

| ZZZZZZZ |
| ....... |
| ....... |
| ....... |

...with command...

Code: Select all

rlife llsss-recentering-wao c1-s2s --rule 'B258/S134578' s1.in --wao-idx ALL --ends proj001_s1:20:s1-out.pic XX

...we eventually get output...

Code: Select all

...
20241023 16:06:22 [INFO] Proj001Step1 depth 20 updating to 3356 blocks...
...
20241023 16:06:22 [INFO] Proj001Step1 depth 20 updating to 1490 blocks...
...
20241023 16:06:22 [INFO] Proj001Step1 depth 20 updating to 789 blocks...
...
...
20241023 16:06:23 [INFO] Proj001Step1 depth 20 updating to 76 blocks...
...

Even after waiting quite a bit longer it never shrinks below that so we sort of assume/hope that is the limit value. For the purpose of the rest of this it's enough to know it's an upper bound. Each time it updated it rewrote s1-out.pic to be some string of legal combinations of all the blocks (repeating if necessary):

Code: Select all

| ..............*.***......*.***.......*.........*.**............**..........*........*.**.***......*.***.**.***.......*......**........*.**.....**........*.***.**.***...... |
| .......*........**.......*.**.......*.***.......*.***......*.**.***......*........*......**.........**.....**.......*.***.**.***.......*.***.**.***......*.**.....**....... |

The point of this is we can slap root Z's on this and use it as an input file for recentering to produce the special state that is all possible finite-length, starting-and-ending-with-zero combinations of those 76 blocks:

Code: Select all

| ZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ |
| ..............*.***......*.***.......*.........*.**............**..........*........*.**.***......*.***.**.***.......*......**........*.**.....**........*.***.**.***...... |
| .......*........**.......*.**.......*.***.......*.***......*.**.***......*........*......**.........**.....**.......*.***.**.***.......*.***.**.***......*.**.....**....... |

Now I can run...

Code: Select all

rlife llsss-recentering c1-s2s --rule 'B258/S134578' s2.in --ends proj001_s2 XX

...and get output...

Code: Select all

...
20241023 16:09:56 [INFO] Proj001Step2: not ready yet (333 extras)...
...
20241023 16:09:56 [INFO] Proj001Step2: not ready yet (146 extras)...
...
...
20241023 16:09:56 [INFO] Proj001Step2: updating (76, 87)...
(huge output)
...
20241023 16:09:56 [INFO] Proj001Step2: no change
...

In this case it only updated once but theoretically I would expect it possible that it could reduce and output a smaller set of transitions. Among the output we find that #43 forces #56 down, forces #60 down, forces #43 right:

Code: Select all

20241023 16:09:56 [INFO] Block #43:
20241023 16:09:56 [INFO]   Cells:
20241023 16:09:56 [INFO]     | .***... |
20241023 16:09:56 [INFO]     | .**.... |
20241023 16:09:56 [INFO]   Right neighbors: [74]
20241023 16:09:56 [INFO]   Left neighbors: [60, 68]
20241023 16:09:56 [INFO]   Down neighbors: [56]
...
20241023 16:09:56 [INFO] Block #56:
20241023 16:09:56 [INFO]   Cells:
20241023 16:09:56 [INFO]     | .**.... |
20241023 16:09:56 [INFO]     | *.***.. |
20241023 16:09:56 [INFO]   Right neighbors: [66]
20241023 16:09:56 [INFO]   Left neighbors: [53, 64]
20241023 16:09:56 [INFO]   Down neighbors: [60]
...
20241023 16:09:56 [INFO] Block #60:
20241023 16:09:56 [INFO]   Cells:
20241023 16:09:56 [INFO]     | *.***.. |
20241023 16:09:56 [INFO]     | ..**... |
20241023 16:09:56 [INFO]   Right neighbors: [43]
20241023 16:09:56 [INFO]   Left neighbors: [39, 65]
20241023 16:09:56 [INFO]   Down neighbors: [53]

So to summarize:

(*) "s0": Any almost half plane must contain that one 2x7 block.

(*) "s1": Any almost half plane must be made of those 76 2x7 blocks at depth [20, 22).

(*) "s2": Any half plane pattern that starts made of those 76 2x7 blocks must continue so down forever and within the continuation all #43 have #56 below them, have #60 below that, and have #43 right of that.

Sokwe: Moderator; Posts: 3367; Joined: July 9th, 2009, 2:44 pm

Re: amling search program principles discussion / brain dump

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Post by Sokwe » October 31st, 2024, 9:32 pm

amling wrote: ↑
October 31st, 2024, 3:02 pm
As for autochoke searches, I'm still not quite sure how to best use them.

I don't really know either, but I tested it on some rules where I had previously found p1 photons with significant difficulty. First, I tried B2478/S013678 c1-s2s with mid_steps 41 and autoChoke ~20mb. Although my test didn't find a ship directly, I noticed a slightly shorter wing for the existing ship. Here are the new (top) and old (bottom) ships:

Code: Select all

x = 394, y = 129, rule = B2478/S013678
184b2o$181b2ob2ob2o$180bo2bo2bo2bo$179bo10bo$173b2o2b3o10b3o2b2o$170b
2ob2obo2bo10bo2bob2ob2o$169bo2bo2bo3bo10bo3bo2bo2bo$168bo8bo2b2o6b2o2b
o8bo$166b3o8bo2bo8bo2bo8b3o$165bo2bo8b2o12b2o8bo2bo$166bo3b2o3b2obo12b
ob2o3b2o3bo$166b2ob2o5bobo12bobo5b2ob2o$163b2o4bo8b2o10b2o8bo4b2o$162b
o2b2o36b2o2bo$163bobo11bo2bo8bo2bo11bobo$160b3o6b2o4b8o4b8o4b2o6b3o$
159bo4b4ob2ob2ob8ob2ob8ob2ob2ob4o4bo$160bob2o4bo2bo2bo8bo2bo8bo2bo2bo
4b2obo$160b2o46b2o$13b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o3bo44bo3b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o$10b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2bo46bo2b2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$9bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b3o46b
3o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo$8bo152bo46bo152bo$9b151o3b2o40b2o3b151o$9bobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob2ob2o
42b2ob2obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobo$9bo2b75ob23ob47o3bo44bo3b47ob23ob75o2bo$8b2ob6ob3ob
7ob11ob3ob3ob9ob7ob3ob5ob3ob3o2bo2b7ob3ob7o2bo2b7ob5ob3ob3ob5ob9ob5o2b
o50bo2b5ob9ob5ob3ob3ob5ob7o2bo2b7ob3ob7o2bo2b3ob3ob5ob3ob7ob9ob3ob3ob
11ob7ob3ob6ob2o$13b5o3b9o11b30o2b3o2b7o5b8o3b8o5b8o5b5o4b5o2b8o2b3o2bo
52bo2b3o2b8o2b5o4b5o5b8o5b8o3b8o5b7o2b3o2b30o11b9o3b5o$9b2o2b4o5b7o13b
4o4b8o2b6o5bob3obo5b3obob8obobo2b7obob8o7b3o4bo5bob7obob3ob2o52b2ob3ob
ob7obo5bo4b3o7b8obob7o2bobob8obob3o5bob3obo5b6o2b8o4b4o13b7o5b4o2b2o$
6b2ob2ob5obo4b5o12bob4o4b8o2b6o6bo3bo6b2ob3ob9o2bo2b5ob3ob6o9bo4bo7bob
6o2bo3bobo52bobo3bo2b6obo7bo4bo9b6ob3ob5o2bo2b9ob3ob2o6bo3bo6b6o2b8o4b
4obo12b5o4bob5ob2ob2o$5bo2bo2bob3obobo4b3o12bobob4o2b8ob2ob6o5bobobo5b
14o5b2ob15o11bob3o7bob5obo7bo4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4bo7bob5o
bo7b3obo11b15ob2o5b14o5bobobo5b6ob2ob8o2b4obobo12b3o4bobob3obo2bo2bo$
4bo8b3obob3obo13b3obob2o6b6o4b4o4b2o2bobo2b2o4b4o2b6obo3bobob4o4b5o12b
2o2bo7b9o4bobo2b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2bob
o4b9o7bo2b2o12b5o4b4obobo3bob6o2b4o4b2o2bobo2b2o4b4o4b6o6b2obob3o13bob
3obob3o8bo$2b3o9b4o3b2o4bo7b3o3b4ob4ob5obo2bob5obo2b2obob2o2bob13obobo
2bo3b4o4b4o13bo3bo4b2o3b5o3b2obo2b2o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2b2o2bob2o3b5o3b2o4bo3bo13b4o4b4o3bo2bobob13obo2b2obob
2o2bob5obo2bob5ob4ob4o3b3o7bo4b2o3b4o9b3o$bo2bo2b2o8bob5ob5o2b2ob5obo
3bo4bob4o2bob4o2b2o13b2o2b3o2b5obob3o5b2o2b2o2b2o12b2obob2o5b2o2b5o2b
2o3bo56bo3b2o2b5o2b2o5b2obob2o12b2o2b2o2b2o5b3obob5o2b3o2b2o13b2o2b4ob
o2b4obo4bo3bob5ob2o2b5ob5obo8b2o2bo2bo$2bo3bo2bo3bo3bob3o3b5obo2bob4ob
o10b3obo2bob8obo2b3o2bob17o3bo9b2o17bob2obo6bob7obo3b2o2b52o2b2o3bob7o
bo6bob2obo17b2o9bo3b17obo2b3o2bob8obo2bob3o10bob4obo2bob5o3b3obo3bo3bo
2bo3bo$2b2ob2obo3bobo2b5o2bob3obo5b6o7bobo4b2o3b7ob5ob5ob7o2b6obo2bo6b
3o2b3o16bo2bo10b3o10bo52bo10b3o10bo2bo16b3o2b3o6bo2bob6o2b7ob5ob5ob7o
3b2o4bobo7b6o5bob3obo2b5o2bobo3bob2ob2o$2obo5b4ob3ob5ob5obo6b3o3b2o2b
4o4bobo4b26o2b8ob2o5bo8bo19b2o6b7o6b2o54b2o6b7o6b2o19bo8bo5b2ob8o2b26o
4bobo4b4o2b2o3b3o6bob5ob5ob3ob4o5bob2o$bo4b2o4bobo3b4obob6o7b2ob2o2bob
5ob3obo5b5o20b2o7bobob2o4bob4obo20bo5b3ob3ob3o5bo54bo5b3ob3ob3o5bo20bo
b4obo4b2obobo7b2o20b5o5bob3ob5obo2b2ob2o7b6obob4o3bobo4b2o4bo$7b2o3bob
o2bob3o3b5ob2o7bo5bob3ob2o3b2o5b4o29bo3bo5b2o4b2o18b2obob2ob11ob2obob
2o50b2obob2ob11ob2obob2o18b2o4b2o5bo3bo29b4o5b2o3b2ob3obo5bo7b2ob5o3b
3obo2bobo3b2o$8bob2o2b2ob4obobob4obo7bobo4bo2b7obobo5b4o17b3o6b2o10bo
6bo19bob2o2bo11bo2b2obo52bob2o2bo11bo2b2obo19bo6bo10b2o6b3o17b4o5bobob
7o2bo4bobo7bob4obobob4ob2o2b2obo$11bo7b2o2b2ob3o2bobo6bo4b2obo2b5obob
3o4bo5b2o4b2o4b3ob3o5bo8b2obob2obob2o19bo19bo56bo19bo19b2obob2obob2o8b
o5b3ob3o4b2o4b2o5bo4b3obob5o2bob2o4bo6bobo2b3ob2o2b2o7bo$10bob3o2b3obo
2bo2bo4bobo5bo8bob7o3b3obo2b3ob2ob2ob2ob2ob7ob2obob2o7bob2o2b2obo138bo
b2o2b2obo7b2obob2ob7ob2ob2ob2ob2ob3o2bob3o3b7obo8bo5bobo4bo2bo2bob3o2b
3obo$9bo5bob5o6bobo4bo4b2o4b2o2bo6bob5o2b2o3bo2bo2bo2bo2bo7bo2b2obo10b
o4bo142bo4bo10bob2o2bo7bo2bo2bo2bo2bo3b2o2b5obo6bo2b2o4b2o4bo4bobo6b5o
bo5bo$10b2o4bo4bo6b2ob3o2bo3bobo4b2o8bob4obo30bo178bo30bob4obo8b2o4bob
o3bo2b3ob2o6bo4bo4b2o$10bo3bo6bo6bo5b2o4bob3obobo8b6o2b2o236b2o2b6o8bo
bob3obo4b2o5bo6bo6bo3bo$8b2obobob4o2b2o5bob2obobo3b2o3b2o2bo5b2o3b3obo
3bo234bo3bob3o3b2o5bo2b2o3b2o3bobob2obo5b2o2b4obobob2o$9bob2o6bo5b2o2b
o2b2obo2bobob5ob2o5b2o2b5o2bo236bo2b5o2b2o5b2ob5obobo2bob2o2bo2b2o5bo
6b2obo$11bob2o5b2o4b2o5bo2b3obob3o11bob5ob3o236b3ob5obo11b3obob3o2bo5b
2o4b2o5b2obo$13bo6bo6bo8bo3b7o2b3o8b3o3bo236bo3b3o8b3o2b7o3bo8bo6bo6bo
$18b2obob2obob2o6bo2bob4ob4ob3o4b4obo2bo236bo2bob4o4b3ob4ob4obo2bo6b2o
bob2obob2o$19bob2o2b2obo7b2ob15ob2ob6ob2o236b2ob6ob2ob15ob2o7bob2o2b2o
bo$21bo4bo7b2obobo6b5o3bo2bo5bobob2o232b2obobo5bo2bo3b5o6bobob2o7bo4bo
$35bo3bo6b5o12bo3bo234bo3bo12b5o6bo3bo$40b2o3b7o9b2o244b2o9b7o3b2o$40b
o6b3o5b2o5bo244bo5b2o5b3o6bo$38b2obob3ob3ob3ob2ob2obob2o240b2obob2ob2o
b3ob3ob3obob2o$39bob2o3bo3bo3bo2bo2b2obo242bob2o2bo2bo3bo3bo3b2obo$41b
o19bo246bo19bo14$196b2o$193b2ob2ob2o$192bo2bo2bo2bo$191bo10bo$185b2o2b
3o10b3o2b2o$182b2ob2obo2bo10bo2bob2ob2o$181bo2bo2bo3bo10bo3bo2bo2bo$
180bo8bo2b2o6b2o2bo8bo$178b3o8bo2bo8bo2bo8b3o$177bo2bo8b2o12b2o8bo2bo$
178bo3b2o3b2obo12bob2o3b2o3bo$178b2ob2o5bobo12bobo5b2ob2o$175b2o4bo8b
2o10b2o8bo4b2o$174bo2b2o36b2o2bo$175bobo11bo2bo8bo2bo11bobo$172b3o6b2o
4b8o4b8o4b2o6b3o$171bo4b4ob2ob2ob8ob2ob8ob2ob2ob4o4bo$172bob2o4bo2bo2b
o8bo2bo8bo2bo2bo4b2obo$172b2o46b2o$13b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o3bo44bo3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$10b2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2o2bo46bo2b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$9bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b3o46b
3o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo$8bo164bo46bo164bo$9b163o3b2o40b2o3b163o$9bobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobob2ob2o42b2ob2obobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobo$9bo2b45ob35ob
21ob55o3bo44bo3b55ob21ob35ob45o2bo$8b2ob6ob3ob7ob11ob3ob3ob5o2bo2b5ob
7ob3ob5ob3ob3o2bo2b7ob3ob5o2bo2b5ob11ob3ob3ob3ob5ob9ob5o2bo50bo2b5ob9o
b5ob3ob3ob3ob11ob5o2bo2b5ob3ob7o2bo2b3ob3ob5ob3ob7ob5o2bo2b5ob3ob3ob
11ob7ob3ob6ob2o$13b5o3b9o11b14o5b17o2b3o2b7o5b8o3b6o5b18o3b5o4b5o2b8o
2b3o2bo52bo2b3o2b8o2b5o4b5o3b18o5b6o3b8o5b7o2b3o2b17o5b14o11b9o3b5o$9b
2o2b4o5b7o13b4o4b6obob5o2b6o5bob3obo5b3obob8obobo2b5obob5o2b11o5b3o4bo
5bob7obob3ob2o52b2ob3obob7obo5bo4b3o5b11o2b5obob5o2bobob8obob3o5bob3ob
o5b6o2b5obob6o4b4o13b7o5b4o2b2o$6b2ob2ob5obo4b5o12bob4o4b5ob3ob4o2b6o
6bo3bo6b2ob3ob9o2bo2b3ob3ob16o7bo4bo7bob6o2bo3bobo52bobo3bo2b6obo7bo4b
o7b16ob3ob3o2bo2b9ob3ob2o6bo3bo6b6o2b4ob3ob5o4b4obo12b5o4bob5ob2ob2o$
5bo2bo2bob3obobo4b3o12bobob4o2b14ob2ob6o5bobobo5b14o5b2ob12o2b9o9bob3o
7bob5obo7bo4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4bo7bob5obo7b3obo9b9o2b12ob
2o5b14o5bobobo5b6ob2ob14o2b4obobo12b3o4bobob3obo2bo2bo$4bo8b3obob3obo
13b3obob2o6b3o2b7o4b4o4b2o2bobo2b2o4b4o2b6obo3bobo5b17o10b2o2bo7b9o4bo
bo2b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2bobo4b9o7bo2b2o
10b17o5bobo3bob6o2b4o4b2o2bobo2b2o4b4o4b7o2b3o6b2obob3o13bob3obob3o8bo
$2b3o9b4o3b2o4bo7b3o3b4ob4ob11obo2bob5obo2b2obob2o2bob13obobo2bo7b7o2b
7o11bo3bo4b2o3b5o3b2obo2b2o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2b2o2bob2o3b5o3b2o4bo3bo11b7o2b7o7bo2bobob13obo2b2obob2o2bob5obo
2bob11ob4ob4o3b3o7bo4b2o3b4o9b3o$bo2bo2b2o8bob5ob5o2b2ob5obo3bo4bob2o
2b6o2bob4o2b2o13b2o2b3o2b5obob3o6b2ob6o2b6o10b2obob2o5b2o2b5o2b2o3bo
56bo3b2o2b5o2b2o5b2obob2o10b6o2b6ob2o6b3obob5o2b3o2b2o13b2o2b4obo2b6o
2b2obo4bo3bob5ob2o2b5ob5obo8b2o2bo2bo$2bo3bo2bo3bo3bob3o3b5obo2bob4obo
10b2o2b5obo2bob8obo2b3o2bob17o3bo7bo2b4ob2ob4o12bob2obo6bob7obo3b2o2b
52o2b2o3bob7obo6bob2obo12b4ob2ob4o2bo7bo3b17obo2b3o2bob8obo2bob5o2b2o
10bob4obo2bob5o3b3obo3bo3bo2bo3bo$2b2ob2obo3bobo2b5o2bob3obo5b6o7bobo
2b2o6b2o3b7ob5ob5ob7o2b6obo2bo11b3o4b3o15bo2bo10b3o10bo52bo10b3o10bo2b
o15b3o4b3o11bo2bob6o2b7ob5ob5ob7o3b2o6b2o2bobo7b6o5bob3obo2b5o2bobo3bo
b2ob2o$2obo5b4ob3ob5ob5obo6b3o3b2o2b4o10bobo4b26o2b8ob2o14bo2bo22b2o6b
7o6b2o54b2o6b7o6b2o22bo2bo14b2ob8o2b26o4bobo10b4o2b2o3b3o6bob5ob5ob3ob
4o5bob2o$bo4b2o4bobo3b4obob6o7b2ob2o2bob5obo2bo2b3obo5b5o20b2o7bobob2o
7b3obo4bob3o17bo5b3ob3ob3o5bo54bo5b3ob3ob3o5bo17b3obo4bob3o7b2obobo7b
2o20b5o5bob3o2bo2bob5obo2b2ob2o7b6obob4o3bobo4b2o4bo$7b2o3bobo2bob3o3b
5ob2o7bo5bob3ob8o3b2o5b4o29bo3bo7bo3b2o4b2o3bo14b2obob2ob11ob2obob2o
50b2obob2ob11ob2obob2o14bo3b2o4b2o3bo7bo3bo29b4o5b2o3b8ob3obo5bo7b2ob
5o3b3obo2bobo3b2o$8bob2o2b2ob4obobob4obo7bobo4bo2b13obobo5b4o17b3o6b2o
13bobobo4bobobo16bob2o2bo11bo2b2obo52bob2o2bo11bo2b2obo16bobobo4bobobo
13b2o6b3o17b4o5bobob13o2bo4bobo7bob4obobob4ob2o2b2obo$11bo7b2o2b2ob3o
2bobo6bo4b2obo2b11obob3o4bo5b2o4b2o4b3ob3o5bo13b2o2bo4bo2b2o18bo19bo
56bo19bo18b2o2bo4bo2b2o13bo5b3ob3o4b2o4b2o5bo4b3obob11o2bob2o4bo6bobo
2b3ob2o2b2o7bo$10bob3o2b3obo2bo2bo4bobo5bo8bob13o3b3obo2b3ob2ob2ob2ob
2ob7ob2obob2o11bo2bo2b2o2bo2bo134bo2bo2b2o2bo2bo11b2obob2ob7ob2ob2ob2o
b2ob3o2bob3o3b13obo8bo5bobo4bo2bo2bob3o2b3obo$9bo5bob5o6bobo4bo4b2o4b
2o2bo12bob5o2b2o3bo2bo2bo2bo2bo7bo2b2obo10b2obo2b2o2b2o2bob2o130b2obo
2b2o2b2o2bob2o10bob2o2bo7bo2bo2bo2bo2bo3b2o2b5obo12bo2b2o4b2o4bo4bobo
6b5obo5bo$10b2o4bo4bo6b2ob3o2bo3bobo4b2o14bob4obo30bo13bob2o8b2obo132b
ob2o8b2obo13bo30bob4obo14b2o4bobo3bo2b3ob2o6bo4bo4b2o$10bo3bo6bo6bo5b
2o4bob3obobo14b6o2b2o44bob2o4b2obo136bob2o4b2obo44b2o2b6o14bobob3obo4b
2o5bo6bo6bo3bo$8b2obobob4o2b2o5bob2obobo3b2o3b2o2bo11b2o3b3obo3bo45bo
6bo140bo6bo45bo3bob3o3b2o11bo2b2o3b2o3bobob2obo5b2o2b4obobob2o$9bob2o
6bo5b2o2bo2b2obo2bobob5ob2o11b2o2b5o2bo248bo2b5o2b2o11b2ob5obobo2bob2o
2bo2b2o5bo6b2obo$11bob2o5b2o4b2o5bo2b3obob3o17bob5ob3o248b3ob5obo17b3o
bob3o2bo5b2o4b2o5b2obo$13bo6bo6bo8bo3b7o2b3o14b3o3bo248bo3b3o14b3o2b7o
3bo8bo6bo6bo$18b2obob2obob2o6bo2bob4ob4ob3o4b2o4b4obo2bo248bo2bob4o4b
2o4b3ob4ob4obo2bo6b2obob2obob2o$19bob2o2b2obo7b2ob15ob2ob2ob2ob6ob2o
248b2ob6ob2ob2ob2ob15ob2o7bob2o2b2obo$21bo4bo7b2obobo6b5o3bo2bo2bo2bo
5bobob2o244b2obobo5bo2bo2bo2bo3b5o6bobob2o7bo4bo$35bo3bo6b5o18bo3bo
246bo3bo18b5o6bo3bo$40b2o3b7o15b2o256b2o15b7o3b2o$40bo6b3o5b2o4b2o5bo
256bo5b2o4b2o5b3o6bo$38b2obob3ob3ob3ob2ob2ob2ob2obob2o252b2obob2ob2ob
2ob2ob3ob3ob3obob2o$39bob2o3bo3bo3bo2bo2bo2bo2b2obo254bob2o2bo2bo2bo2b
o3bo3bo3b2obo$41bo25bo258bo25bo!

Next I tried B256/S02357, where I had previously just barely found a ship while using all available memory after continuing from multiple partial results. This time I used c1-s2s, mid_steps 50, and autoChoke ~20mb and found a slightly smaller spaceship much faster and with no manual intervention:

Code: Select all

x = 476, y = 136, rule = B256/S02357
22b2o6b2o195b2o195b2o6b2o$26b2o400b2o$21bo2bob2obo2bo174b2o8b2o7bo2bo
7b2o8b2o174bo2bob2obo2bo$22bob2o2b2obo166b2o25bo4bo25b2o166bob2o2b2obo
$22b2ob4ob2o57b2o6b2o103b2o2bo2bo2b2o2bo2bo2b2obo4bob2o2bo2bo2b2o2bo2b
o2b2o103b2o6b2o57b2ob4ob2o$22bo3b2o3bo26b2o33b2o29b2o14b2o11b2o6b2o17b
2o15bo2bob2obo4bob2obo4bob2o3b2o3b2obo4bob2obo4bob2obo2bo15b2o17b2o6b
2o11b2o14b2o29b2o33b2o26bo3b2o3bo$20b4ob4ob4o28b2o5b2o5b2o10bo2bob2obo
2bo17b2o12b2o24b2o30b2o7bob2o2b2o4b2o2b2o4b3o2bob2obo2b3o4b2o2b2o4b2o
2b2obo7b2o30b2o24b2o12b2o17bo2bob2obo2bo10b2o5b2o5b2o28b4ob4ob4o$8b2o
12b10o17b2o6bo2bob2ob2o17b2o3bob2o2b2obo24bo2bo8b2o2bo2bo9bo2bob2obo2b
o10b2o3bo2bo2b2o11b4o3bo4bo4bo4bob2ob2o2b2ob2obo4bo4bo4bo3b4o11b2o2bo
2bo3b2o10bo2bob2obo2bo9bo2bo2b2o8bo2bo24bob2o2b2obo3b2o17b2ob2obo2bo6b
2o17b10o12b2o$21bobobo2bobobo6b2o12b2o3bob3o2b2obo2bo3bo2bo2b2ob2obob
2ob4ob2obo15bo2bo2bo4bo2bo2bob2obo4bo4b2o3bob2o2b2obo3b2o10bo4bob2obo
2bo4b6o3bo4bo4bo4bob3ob4ob3obo4bo4bo4bo3b6o4bo2bob2obo4bo10b2o3bob2o2b
2obo3b2o4bo4bob2obo2bo2bo4bo2bo2bo15bob2ob4ob2obob2ob2o2bo2bo3bo2bob2o
2b3obo3b2o12b2o6bobobo2bobobo$7bo2bo3b2o8bo4bo18bo2bob2obo3bob2o2b3obo
3bo4bob2o2b2o2bo3b2o3bo2bo6b2o5bo4bobo4bobo4b2o2bo4bob2ob2obob2ob4ob2o
bob2ob2o2bo2bobo4b2o2b2obo7bo2b3o3b2o3b2o3b2o4bo3b2o3bo4b2o3b2o3b2o3b
3o2bo7bob2o2b2o4bobo2bo2b2ob2obob2ob4ob2obob2ob2obo4bo2b2o4bobo4bobo4b
o5b2o6bo2bo3b2o3bo2b2o2b2obo4bo3bob3o2b2obo3bob2obo2bo18bo4bo8b2o3bo2b
o$6bo4bo6b2obo2bo4bo2bob2o2bo2bo2b2o3bob2o2b2o3bob5obo3bobo4bo2b2o2b3o
b10o12b2obo4bo3b2o3bo4b2o4b2o3b2o2b2o2bo3b2o3bo2b2o2b2obo4b2o4bo2b2ob
2o4bobo4b2o3b2obob2obob2obo3b8o3bob2obob2obob2o3b2o4bobo4b2ob2o2bo4b2o
4bob2o2b2o2bo3b2o3bo2b2o2b2o3b2o4b2o4bo3b2o3bo4bob2o12b10ob3o2b2o2bo4b
obo3bob5obo3b2o2b2obo3b2o2bo2bo2b2obo2bo4bo2bob2o6bo4bo$3b2obo4bobo2bo
b2o2bobob2o3bo2b2obo4bob2obo3bo4bo3b2o3b2obo3b3o4bo3bo3b3obo4bo2bobob
2o2bo2bob2o3b2o5b2o3b3o2b2o4b2o4b2o2b3ob8ob3o2b2o2bo4b4o2bo2bo3bo3bo2b
obob3ob3o2b2o2b2o2b3obobob4obobob3o2b2o2b2o2b3ob3obobo2bo3bo3bo2bo2b4o
4bo2b2o2b3ob8ob3o2b2o4b2o4b2o2b3o3b2o5b2o3b2obo2bo2b2obobo2bo4bob3o3bo
3bo4b3o3bob2o3b2o3bo4bo3bob2obo4bob2o2bo3b2obobo2b2obo2bobo4bob2o$6bob
2obo2bob3o3bo3b2obo3b2o2bo4b2o2b2o3bo4bo3bo6b2o3bobo4bo3bo6bo6b2ob2ob
2obo4b2o4b2o5b2o3bo4b2o4b2o5bo3b3obo4bob3o3bo5b2o2bo4b10obo2b3obob3o2b
4o3bo3bob3obob2obob3obo3bo3b4o2b3obob3o2bob10o4bo2b2o5bo3b3obo4bob3o3b
o5b2o4b2o4bo3b2o5b2o4b2o4bob2ob2ob2o6bo6bo3bo4bobo3b2o6bo3bo4bo3b2o2b
2o4bo2b2o3bob2o3bo3b3obo2bob2obo$2bo2b2o4b2ob5o3bo4b3obobo3bo4bo4bo3bo
4bo3bo3bo2b4obobo4bob3o2bo3bo4bobob2ob2o2bo4b2o4b2o5b2ob4obob2ob2o2b3o
3bo6bo6bo6bo5b2o3bobobo2b2ob2o3b7obo3b2ob3o3bo4bo2b2ob4ob2o2bo4bo3b3ob
2o3bob7o3b2ob2o2bobobo3b2o5bo6bo6bo6bo3b3o2b2ob2obob4ob2o5b2o4b2o4bo2b
2ob2obobo4bo3bo2b3obo4bobob4o2bo3bo3bo4bo3bo4bo4bo3bobob3o4bo3b5ob2o4b
2o2bo$3bobob7obob2o3bo4b4o2bo3bo4bo4bo3bo4bo3bo4bo2bo7b2obo3bobo4bo5b
3o2b2o3bo4b2o4b2o3b3o2bo2bo2b2o2b2ob2o5bo2bo3bo6bo3bo2bo5b2obob4ob2obo
bob5o3bo2bo3bobob2o3bo2bobo3b2o4b2o3bobo2bo3b2obobo3bo2bo3b5obobob2ob
4obob2o5bo2bo3bo6bo3bo2bo5b2ob2o2b2o2bo2bo2b3o3b2o4b2o4bo3b2o2b3o5bo4b
obo3bob2o7bo2bo4bo3bo4bo3bo4bo4bo3bo2b4o4bo3b2obob7obobo$bob2ob5obo3bo
b3o3b2o2b3ob2o3bo4bo4bo3b3o2bo3bo2bobo3bo2bo3b2o4bob2obo2bo3bob2o3b2o
3bo4b2o4b2o5b3ob2ob3o2b2o2bo3bo2bobo4bo6bo2bo3b3o3b2o2b4o2bobobobobo5b
o3bob4ob3ob3obo2bo3b2o4b2o3bo2bob3ob3ob4obo3bo5bobobobobo2b4o2b2o3b3o
3bo2bo6bo4bobo2bo3bo2b2o2b3ob2ob3o5b2o4b2o4bo3b2o3b2obo3bo2bob2obo4b2o
3bo2bo3bobo2bo3bo2b3o3bo4bo4bo3b2ob3o2b2o3b3obo3bob5ob2obo$2b3o2bo2bob
6o2bo3b2o4b6obo4bo4bo3bo4bo3bo3b2o3bobo4b2o6b3o3b3ob2o5b2o3bo4b2o4b2o
2bo3b8o3bo3bo4bo3bo4bo6bo4bobo5b2o2b3ob2ob3ob3o4bobo3bo3b2o2bo2b2ob2ob
2o3b2o4b2o3b2ob2ob2o2bo2b2o3bo3bobo4b3ob3ob2ob3o2b2o5bobo4bo6bo4bo3bo
4bo3bo3b8o3bo2b2o4b2o4bo3b2o5b2ob3o3b3o6b2o4bobo3b2o3bo3bo4bo3bo4bo4bo
b6o4b2o3bo2b6obo2bo2b3o$2b3o3b2ob3ob2o2b4ob2obo3bobo3bob2o3b2o3b4obobo
3bobob4ob3obo2b2o6b3obobo3bo3bo2b2o3bo4b2o4b2obo15bo3bo4bo3bo4bo2b2o2b
o4b2obo4b2o2b2obobo2b2o2b2obo3b2o3b2ob3o3b3ob2ob5ob2ob2ob2ob5ob2ob3o3b
3ob2o3b2o3bob2o2b2o2bobob2o2b2o4bob2o4bo2b2o2bo4bo3bo4bo3bo15bob2o4b2o
4bo3b2o2bo3bo3bobob3o6b2o2bob3ob4obobo3bobob4o3b2o3b2obo3bobo3bob2ob4o
2b2ob3ob2o3b3o$2b2o2bobob2obobob4o3b2o2bob2ob2ob2o4bob2obo3b6o3b4o3b6o
3b2o4b3o2b3obo2bo4bo2b3obo4b2ob2o2b3o3bo2b4o2bo2bob3o4bo3bo2b3o6bo4bo
2bob2o2b4obobob4o4b2obo2bob8obobo2bo2bo4b3o6b3o4bo2bo2bobob8obo2bob2o
4b4obobob4o2b2obo2bo4bo6b3o2bo3bo4b3obo2bo2b4o2bo3b3o2b2ob2o4bob3o2bo
4bo2bob3o2b3o4b2o3b6o3b4o3b6o3bob2obo4b2ob2ob2obo2b2o3b4obobob2obobo2b
2o$2b3ob2obo2bob3ob4o3b4obobobobob6o2b5obob5obob2o4bob3obob2ob2ob2o4b
2o4bo4b4o3bo2b3o5b2obo4bob4obo3bo3bo4bo3bo4bobo2bobo4bo4b2o2b2o2bob3ob
3obo2b6ob2o6b4ob2ob2ob4o3b6o3b4ob2ob2ob4o6b2ob6o2bob3ob3obo2b2o2b2o4bo
4bobo2bobo4bo3bo4bo3bo3bob4obo4bob2o5b3o2bo3b4o4bo4b2o4b2ob2ob2obob3ob
o4b2obob5obob5o2b6obobobobob4o3b4ob3obo2bob2ob3o$2b4ob5ob2o2b3obobo2b
2obobobobob5o2b3o2bob2obo3b2obob3ob2obo2b4o2b2o2bo4bo5bo2b4o2bo2bo4b8o
bo4bo2b2o2bo3b2ob4o2bo3bobobob2obo2bo4bo5b4ob2ob2o2b3o3bo2bob2ob2o6bo
3b36o3bo6b2ob2obo2bo3b3o2b2ob2ob4o5bo4bo2bob2obobobo3bo2b4ob2o3bo2b2o
2bo4bob8o4bo2bo2b4o2bo5bo4bo2b2o2b4o2bob2ob3obob2o3bob2obo2b3o2b5obobo
bobob2o2bobob3o2b2ob5ob4o$2b2ob2o3b3o2bo2bobob7ob8ob2ob4o4b2ob3o3b2obo
2bobobob2o2bo2b2o3bo4bo3b3o4bobo4bo3bo2bobo3b2o4b8ob7o4b3ob3o3b4ob2ob
2ob3o3b2o2b5o3b7ob2obob2o10bo10b3ob3o2b3ob3o10bo10b2obob2ob7o3b5o2b2o
3b3ob2ob2ob4o3b3ob3o4b7ob8o4b2o3bobo2bo3bo4bobo4b3o3bo4bo3b2o2bo2b2obo
bobo2bob2o3b3ob2o4b4ob2ob8ob7obobo2bo2b3o3b2ob2o$3obo2b3obo3bo3b3o2b2o
bo3b3ob3obobob4obo2b2o2bobo2b2ob2obobob5o3bo4bo2b3o5bobo3b2o4bo7bo5bo
2b4o4b4o8bobo3bobo3b5obo4bo5b3o2bobo4b2ob3ob4ob2o24bobo6bobo24b2ob4ob
3ob2o4bobo2b3o5bo4bob5o3bobo3bobo8b4o4b4o2bo5bo7bo4b2o3bobo5b3o2bo4bo
3b5obobob2ob2o2bobo2b2o2bob4obobob3ob3o3bob2o2b3o3bo3bob3o2bob3o$2b2ob
6o4bo3b2o2bobob2o4bobo2bobobob5ob2o2b6o2b4ob3o4bo3bo4bo4bo4bob2obob4o
2bo7bo5bo4bob2o6b5obob4o2bobo3b2o3bob4obobo2b6ob2ob3obob3o4b2o24bobobo
4bobobo24b2o4b3obob3ob2ob6o2bobob4obo3b2o3bobo2b4obob5o6b2obo4bo5bo7bo
2b4obob2obo4bo4bo4bo3bo4b3ob4o2b6o2b2ob5obobobo2bobo4b2obobo2b2o3bo4b
6ob2o$bo2b3ob3o4bo3b3ob2obobobob3ob8ob5ob2obo3b5obo3b2o3b4o3b2o3bob4o
4b4o2bo4bo7bo2b2obobo3b3obo2b7ob5obo5b3ob11o2bob2ob2obobobo2b3obo2b4o
27bo8bo27b4o2bob3o2bobobob2ob2obo2b11ob3o5bob5ob7o2bob3o3bobob2o2bo7bo
4bo2b4o4b4obo3b2o3b4o3b2o3bob5o3bob2ob5ob8ob3obobobob2ob3o3bo4b3ob3o2b
o$5bobob2o4bo3b4ob2ob4obo2b3o3bo2b3o3b2ob3o5b2ob4ob3obo2bobo4bob4o6b6o
3bobo7bo5b3obob3o2bob2ob2o2b5ob2obobobo2b4o4b7o2bobobobobob3o2b2o2b3o
66b3o2b2o2b3obobobobobo2b7o4b4o2bobobob2ob5o2b2ob2obo2b3obob3o5bo7bobo
3b6o6b4obo4bobo2bob3ob4ob2o5b3ob2o3b3o2bo3b3o2bob4ob2ob4o3bo4b2obobo$
6bob3ob2o3b3o3b2o3b4obo2bobo3bo2bob2o2b2o2bobob2ob2ob4o2b2ob2ob13obo3b
2o3bobob3o5b3obo2b6o2b2o2bo2bobob3ob2ob2ob5obo2bo4b2ob2ob2ob2obobob7o
3b5o70b5o3b7obobob2ob2ob2ob2o4bo2bob5ob2ob2ob3obobo2bo2b2o2b6o2bob3o5b
3obobo3b2o3bob13ob2ob2o2b4ob2ob2obobo2b2o2b2obo2bo3bobo2bob4o3b2o3b3o
3b2ob3obo$6bo2bo2b2obobo2bo3b2o4bo2bo3b2obobo3b3o3b3ob2obobo2bob3o3b5o
2b4o4b5ob3ob3ob8o5bo2bobob8o2b3obobob2obobo2bo2bo2b2o2b2obobobobobob8o
2bo5bob3o2bo68bo2b3obo5bo2b8obobobobobob2o2b2o2bo2bo2bobob2obobob3o2b
8obobo2bo5b8ob3ob3ob5o4b4o2b5o3b3obo2bobob2ob3o3b3o3bobob2o3bo2bo4b2o
3bo2bobob2o2bo2bo$4b3o3b2o2b3ob3obo2bobobo2b2o3b3o2bobob3obo2b4obobob
2obob2o4bobo2b3o4b2ob6o2b6o4bo6b3ob2obob2ob2ob5ob5ob2obob2ob2o3b9obobo
bobo5bo2b2o3b6o78b6o3b2o2bo5bobobobob9o3b2ob2obob2ob5ob5ob2ob2obob2ob
3o6bo4b6o2b6ob2o4b3o2bobo4b2obob2obobob4o2bob3obobo2b3o3b2o2bobobo2bob
3ob3o2b2o3b3o$6bobobob2o2b2ob6ob2ob7o2bo2b2o2b2o2b2o6bob6obob3ob2ob7ob
obobob2obo4bo4b2o3bo4bob3ob2obobobobo2b4o2bo2bo2b6obobob3o5b4ob7o3b2ob
obob3o3bo76bo3b3obobob2o3b7ob4o5b3obobob6o2bo2bo2b4o2bobobobob2ob3obo
4bo3b2o4bo4bob2obobobob7ob2ob3obob6obo6b2o2b2o2b2o2bo2b7ob2ob6ob2o2b2o
bobobo$5bob3ob5o2bobob2ob2ob3o4bob2o2bob3o4bobo2b2ob2o5b3o2bobobob2ob
6obobobob2obo2b6obobob2ob2obo3b2obobobob2ob3o3b2ob3o5bob4o6bo3b3o3b3ob
obobob4o88b4obobobob3o3b3o3bo6b4obo5b3ob2o3b3ob2obobobob2o3bob2ob2obob
ob6o2bob2obobobob6ob2obobobo2b3o5b2ob2o2bobo4b3obo2b2obo4b3ob2ob2obobo
2b5ob3obo$7b2o2b4ob2ob2obobo2bo6bob7ob2o4bo2bob4o6b2o2bobobobobobo4b4o
bobobob7ob5o4bo3b3o2b5ob4ob2obobob3o3b6o3bo8bo3bo4b4ob4o3bo86bo3b4ob4o
4bo3bo8bo3b6o3b3obobob2ob4ob5o2b3o3bo4b5ob7obobobob4o4bobobobobobo2b2o
6b4obo2bo4b2ob7obo6bo2bobob2ob2ob4o2b2o$7b3o2b2ob5obob4ob2obo5bob2o2bo
b3o2bo2b3obo2bo4b3ob8obobo2bo3b4obobob2ob2obo3bob4ob9o3b2o4b3o2b3o4bob
3o3bo19bo3b3o3bo92bo3b3o3bo19bo3b3obo4b3o2b3o4b2o3b9ob4obo3bob2ob2obob
ob4o3bo2bobob8ob3o4bo2bob3o2bo2b3obo2b2obo5bob2ob4obob5ob2o2b3o$7b8o5b
3o2b5o2bobob2obob2ob2o4b6ob2o2bo3b7ob3o2bo7bo3b4obobobob3o3b9ob3o2bo3b
4o2bo3b2o2b6o28bo3bo98bo3bo28b6o2b2o3bo2b4o3bo2b3ob9o3b3obobobob4o3bo
7bo2b3ob7o3bo2b2ob6o4b2ob2obob2obobo2b5o2b3o5b8o$7b2ob2obo2b3o2b2o7b3o
b5ob5o3bobo2bo2b6ob3o5bobo15bo3b4obobo2bobob3o5bobo9b3ob2o3b3ob3o3bo
162bo3b3ob3o3b2ob3o9bobo5b3obobo2bobob4o3bo15bobo5b3ob6o2bo2bobo3b5ob
5ob3o7b2o2b3o2bob2ob2o$5b3obobob2obobob3obo3b4obobobo3bobo2bob2ob2o4bo
b2ob2o2bo3bobobo17bo3b4ob2ob4o6bobobo10b6ob5o174b5ob6o10bobobo6b4ob2ob
4o3bo17bobobo3bo2b2ob2obo4b2ob2obo2bobo3bobobob4o3bob3obobob2obobob3o$
7b2obob4obob4o2bo4bobob2ob2ob2ob5ob2obobob2obob2o9bo22bo3b6o3bo7bo11bo
5b3o4bo172bo4b3o5bo11bo7bo3b6o3bo22bo9b2obob2obobob2ob5ob2ob2ob2obobo
4bo2b4obob4obob2o$6bo2b4obo2bo2bo2b3obo3bob2obobobob3o2b2o2b8ob2o36bo
6bo27bo3bo180bo3bo27bo6bo36b2ob8o2b2o2b3obobobob2obo3bob3o2bo2bo2bob4o
2bo$10b3ob2o5b2ob4obobo2b2ob3obo6b3o2bo5b2o334b2o5bo2b3o6bob3ob2o2bobo
b4ob2o5b2ob3o$12b2obobobobob6o2bo3b3o2b4o4b2ob2o3b4o336b4o3b2ob2o4b4o
2b3o3bo2b6obobobobob2o$11bo2b9o3b3ob2o4bo3b2o4b3obobobob3o338b3obobobo
b3o4b2o3bo4b2ob3o3b9o2bo$15b3ob3o6b6ob2o3b3obobo2bobob4o342b4obobo2bob
ob3o3b2ob6o6b3ob3o$17bobo7bo5b6ob6ob2ob4o3bo340bo3b4ob2ob6ob6o5bo7bobo
$16bobobo11bo5b3o4b6o3bo346bo3b6o4b3o5bo11bobobo$18bo18bo3bo2bo6bo352b
o6bo2bo3bo18bo46$8b2o31b2o6b2o374b2o6b2o31b2o$45b2o382b2o$7bo2bo3b2o
18b2o4bo2bob2obo2bo372bo2bob2obo2bo4b2o18b2o3bo2bo$6bo4bo6b2o5b2o14bob
2o2b2obo374bob2o2b2obo14b2o5b2o6bo4bo$3b2obo4bobo2bob2ob2o6b2o2bo2bo4b
2ob4ob2o109b2o8b2o132b2o8b2o109b2ob4ob2o4bo2bo2b2o6b2ob2obo2bobo4bob2o
$6bob2obo2bob3o2b2obo2bob2obo4bo3bo3b2o3bo128b2o5b2o100b2o5b2o128bo3b
2o3bo3bo4bob2obo2bob2o2b3obo2bob2obo$2bo2b2o4b2ob5o3b2o4b2o2bo4bob4ob
4ob4o25b2o74b2o3bo2bo2b2o2bo2bo2b2o18b2o82b2o18b2o2bo2bo2b2o2bo2bo3b2o
74b2o25b4ob4ob4obo4bo2b2o4b2o3b5ob2o4b2o2bo$3bobob7obob2o3b2o4b2o4b2ob
o3b10o4b2o30b2o8b2o8b2o8b2o8b2o8b2o8b2o9bo4bob2obo4bob2obo2bo3bo2bo2b
2o90b2o2bo2bo3bo2bob2obo4bob2obo4bo9b2o8b2o8b2o8b2o8b2o8b2o8b2o30b2o4b
10o3bob2o4b2o4b2o3b2obob7obobo$bob2ob5obo3bob3o2b3o2b2o4b2o4bobobo2bob
obo10b2o13bo2bo2b2o68bo2bobo4b2o2b2o4b2o2b2obo3bo4bob2obo2bo80bo2bob2o
bo4bo3bob2o2b2o4b2o2b2o4bobo2bo68b2o2bo2bo13b2o10bobobo2bobobo4b2o4b2o
2b3o2b3obo3bob5ob2obo$2b3o2bo2bob6o2bob2o4b2ob2ob2o7bo4bo5bo2bo11b2o5b
o4bob2obo2bo2b2o2bo2bo2b2o2bo2bo2b2o2bo2bo2b2o2bo2bo2b2o2bo2bo2b2o2bo
2bo2bo4b2o4bo4bo4bo4bo3bobo4bo2b3obo3b2o25b2o8b2o8b2o25b2o3bob3o2bo4bo
bo3bo4bo4bo4bo4b2o4bo2bo2bo2b2o2bo2bo2b2o2bo2bo2b2o2bo2bo2b2o2bo2bo2b
2o2bo2bo2b2o2bo2bob2obo4bo5b2o11bo2bo5bo4bo7b2ob2ob2o4b2obo2b6obo2bo2b
3o$2b3o3b2ob3ob2o2b3ob2obob2o4b2ob2obo2bo4bo2bobo4bo2bo2bo8b2obo4bo2b
2o4bob2obo4bob2obo4bob2obo4bob2obo4bob2obo4bob2obo4bobo4b4o2bo4bo4bo4b
o3b3o4bo3bob2obob2ob2o5b2o8b2o32b2o8b2o5b2ob2obob2obo3bo4b3o3bo4bo4bo
4bo2b4o4bobo4bob2obo4bob2obo4bob2obo4bob2obo4bob2obo4bob2obo4b2o2bo4bo
b2o8bo2bo2bo4bobo2bo4bo2bob2ob2o4b2obob2ob3o2b2ob3ob2o3b3o$2b2o2bobob
2obobob4o3bob2o2b5o2b2o2bobob2o3bo2bo4bobo4bo2bo2bob2o3b2o4b2o4b2o2b2o
4b2o2b2o4b2o2b2o4b2o2b2o4b2o2b2o4b2o2b2o4bo3b2o2bo4bob2o3b2o3b2o3b7o2b
o4b2ob4o2b2ob2o18bo2bo2b2o2bo2bo2b2o2bo2bo18b2ob2o2b4ob2o4bo2b7o3b2o3b
2o3b2obo4bo2b2o3bo4b2o2b2o4b2o2b2o4b2o2b2o4b2o2b2o4b2o2b2o4b2o2b2o4b2o
4b2o3b2obo2bo2bo4bobo4bo2bo3b2obobo2b2o2b5o2b2obo3b4obobob2obobo2b2o$
2b3ob2obo2bobobob4ob3ob7o2b2o3bo3b2obobo4b2o3bo4bobo4b2o4b2o4b2o4bo4bo
4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo3b2o3bobo3b2obob2obob2obobo3bo4bo2bo
2b2o2bo2b2o2b2obo2bo2b2o2bo2bo2bo4bob2obo4bob2obo4bo2bo2bo2b2o2bo2bob
2o2b2o2bo2b2o2bo2bo4bo3bobob2obob2obob2o3bobo3b2o3bo4bo4bo4bo4bo4bo4bo
4bo4bo4bo4bo4bo4bo4b2o4b2o4b2o4bobo4bo3b2o4bobob2o3bo3b2o2b7ob3ob4obob
obo2bob2ob3o$2b4ob5ob3obob6o3b2ob2ob4o3bo4b2o2bo4b2obo3b2o3bo4b2o4b2o
4b2o4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo3b2o3b3o4b3o2b2o3b4obo3bobo
3bo2b2o2bo3bo4b2o4bob2obo4bobo4b2o2b2o4b2o2b2o4bobo4bob2obo4b2o4bo3bo
2b2o2bo3bobo3bob4o3b2o2b3o4b3o3b2o3bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo4bo
4bo4b2o4b2o4b2o4bo3b2o3bob2o4bo2b2o4bo3b4ob2ob2o3b6obob3ob5ob4o$2b2ob
2o3b3o2b2obob8obobobob3o3bo4b2o4b2o2b3obob2obo3b2ob2o4b2o4b2o4bo4bo4bo
4bo4bob2o3b2o3b2obo4bo4bo4bo4bo4bo3b2ob7ob2obo3b5ob2o5b3obobo2bo3bo3bo
4b2o4b2o2b2o4b3o4bo4bo4bo4bo4b3o4b2o2b2o4b2o4bo3bo3bo2bobob3o5b2ob5o3b
ob2ob7ob2o3bo4bo4bo4bo4bo4bob2o3b2o3b2obo4bo4bo4bo4bo4b2o4b2o4b2ob2o3b
ob2obob3o2b2o4b2o4bo3b3obobobob8obob2o2b3o3b2ob2o$3obo2b3obo4b4ob2o3bo
bob3obob2o3bo4b2o4b2o3bob3o2b2obob2o2b3o2b2o4b2o4b3o2bo4bo4bob2o3b2obo
b2obob2o3b2obo4bo4bo4bo4bo3b2o3bo3b4obo3b2ob2obo2bob6o2bo2bo3bo3bo4b2o
4bo4bo4bobo4bo4bo4bo4bo4bobo4bo4bo4b2o4bo3bo3bo2bo2b6obo2bob2ob2o3bob
4o3bo3b2o3bo4bo4bo4bo4bob2o3b2obob2obob2o3b2obo4bo4bo2b3o4b2o4b2o2b3o
2b2obob2o2b3obo3b2o4b2o4bo3b2obob3obobo3b2ob4o4bob3o2bob3o$2b2ob6o6bo
2b4o3b3o2b2obob3obo4b2o4b2o3b2o2b4ob3o2b3o4b2o4b2o4bo4bob2o3b2o3b2obo
2b4o2b4o2bob2o3b2obo4bo4bo4bob3o3bo3bo4b2ob3obob2ob5o3bo2b2o2bo3bo3b3o
2b2o4bo4bo4bobo4bo4bo4bo4bo4bobo4bo4bo4b2o2b3o3bo3bo2b2o2bo3b5ob2obob
3ob2o4bo3bo3b3obo4bo4bo4bob2o3b2obo2b4o2b4o2bob2o3b2o3b2obo4bo4b2o4b2o
4b3o2b3ob4o2b2o3b2o4b2o4bob3obob2o2b3o3b4o2bo6b6ob2o$bo2b3ob3o7bo2bobo
bob2o4b2ob2o3bo4b2o4b2o3bo2b2o2b2o2b5o3bob2o4b2o2b4obo3b2obob2obo2b6ob
2o2b2ob6o2bob2o3b2o3b2obob2o3b2o2bobobobo2b3ob2o2bobo2b3o3bo3b7o3bo3bo
4b2o4bo4bob2o5b2o3b2o3b2o3b2o3b2o5b2obo4bo4b2o4bo3bo3b7o3bo3b3o2bobo2b
2ob3o2bobobobo2b2o3b2obob2o3b2o3b2obo2b6ob2o2b2ob6o2bob2obob2o3bob4o2b
2o4b2obo3b5o2b2o2b2o2bo3b2o4b2o4bo3b2ob2o4b2obobobo2bo7b3ob3o2bo$5bobo
b2o7bo3bob3o7b2o2bo2bo4b2o4b2o3bo2bo4b3o2b4obo2b2o4b2o4b4obo2b3o2b3ob
2ob2o2bob4obo2b2ob2ob3o2bob2obob2o3b2o3b7o2b2o4b2o2b7o5b2obobo4b4o3b4o
3b2ob2o3b2o3b2obobob2o3b2obob2obob2o3b2obobob2o3b2o3b2ob2o3b4o3b4o4bob
ob2o5b7o2b2o4b2o2b7o3b2o3b2obob2obo2b3ob2ob2o2bob4obo2b2ob2ob3o2b3o2bo
b4o4b2o4b2o2bob4o2b3o4bo2bo3b2o4b2o4bo2bo2b2o7b3obo3bo7b2obobo$6bob3o
7bo3bo2b2o2bo5b2o4bo4b2o4b2o3bo2bo4b2ob2ob5o2b2ob2ob2obob6o2b2obo3bob
3obob2ob2o2b2ob2obob3obo3b2o2b4o5b3o2bo2b4o2bobobo2b2ob2ob2ob2obobob3o
b2o5bobobo2bob3o2b2obob2obo2b3ob3o2b3o2b2o2b2o2b3o2b3ob3o2bob2obob2o2b
3obo2bobobo5b2ob3obobob2ob2ob2ob2o2bobobo2b4o2bo2b3o5b4o2b2o3bob3obob
2ob2o2b2ob2obob3obo3bob2o2b6obob2ob2ob2o2b5ob2ob2o4bo2bo3b2o4b2o4bo4b
2o5bo2b2o2bo3bo7b3obo$4bobo2bo2b2o4bo3b5obo7bo4bo4b2o4b2o3bo2bo2b3ob4o
b7o2b2o2b3obob2ob5obo3b2o3bob5o4b5obo3bo4bo4b3o3bo2b2o3b2ob5ob2ob6obob
obobob2obo2b2obobob2ob3ob2ob2o2b3o2b2o2b2o3bobobo3b2o2b3o2b3o2b2o3bobo
bo3b2o2b2o2b3o2b2ob2ob3ob2obobob2o2bob2obobobobob6ob2ob5ob2o3b2o2bo3b
3o4bo4bo3bob5o4b5obo3b2o3bob5ob2obob3o2b2o2b7ob4ob3o2bo2bo3b2o4b2o4bo
4bo7bob5o3bo4b2o2bo2bobo$5b2o2b2ob2ob2o3b4o3b2o7bo4bo4b2o4b2o3bo2bo4b
2o4bob2ob2o2b2o4bobobobob2o3b2o3bo4bo2bobo6bobo2bo3bo4bo6b3ob5obobobob
3ob2ob3o4bobobobobob2ob2o2bob2ob4o2b4o2b4o2b3o3bo4bob2o3b7o2b7o3b2obo
4bo3b3o2b4o2b4o2b4ob2obo2b2ob2obobobobobo4b3ob2ob3obobobob5ob3o6bo4bo
3bo2bobo6bobo2bo4bo3b2o3b2obobobobo4b2o2b2ob2obo4b2o4bo2bo3b2o4b2o4bo
4bo7b2o3b4o3b2ob2ob2o2b2o$5b8o2b2obobo7bo7bo4bo4b2o4b2o3bo2bobo3b5obob
obob4o4b2ob3obo6bo3bo4bo3bo8bo3bo3bo4bo5bo2b2ob2ob4obob3obo2bo5b2ob3ob
3obo2b8obo4bo2bob3ob8o3bo2bobo2bo3b3o3b4o3b3o3bo2bobo2bo3b8ob3obo2bo4b
ob8o2bob3ob3ob2o5bo2bob3obob4ob2ob2o2bo5bo4bo3bo3bo8bo3bo4bo3bo6bob3ob
2o4b4obobobob5o3bobo2bo3b2o4b2o4bo4bo7bo7bobob2o2b8o$5b3o5b3o2b2obo2bo
3bo7bo4bo4b2o4b2o3bo2b3obo2b7ob3ob3o4bo2b2o2bo2bo3bo3bo4bo3bo8bo3bo3bo
4bo9b2obob3o2bo2bob4ob2obobob2o2b2o2b3o2bob2o3bob3o3b2ob2ob3ob2ob2o3bo
3b2o2bo3b2obo3b2o3bob2o3bo2b2o3bo3b2ob2ob3ob2ob2o3b3obo3b2obo2b3o2b2o
2b2obobob2ob4obo2bo2b3obob2o9bo4bo3bo3bo8bo3bo4bo3bo3bo2bo2b2o2bo4b3ob
3ob7o2bob3o2bo3b2o4b2o4bo4bo7bo3bo2bob2o2b3o5b3o$5b2ob7o3bo2bobo4bo7bo
4bob2ob2ob2ob2o3b12o4b2o2b2ob2o4bo3bo4bo4bo3bo4bo3bo8bo3bo3b3o2bo10b2o
b2o8bo2b3obob2obo2b2o2b2o2bob2obob8obobob2ob2obobobob3o3bob5ob3ob2obo
4bob2ob3ob5obo3b3obobobob2ob2obobob8obob2obo2b2o2b2o2bob2obob3o2bo8b2o
b2o10bo2b3o3bo3bo8bo3bo4bo3bo4bo4bo3bo4b2ob2o2b2o4b12o3b2ob2ob2ob2obo
4bo7bo4bobo2bo3b7ob2o$3b3obobobo6bo4bo4bo5b3ob2obo4b2o4b2ob4o3bob2o8b
3o2bob3o2bo3bo4bo4bo3b3o2bo3bob2o5bo3bo3bo4bo2b2o7b2o2bo7bo5bobob2ob
10ob4ob4o4b4obo2bo2bobobobo2bobob3ob2ob2o2b2ob8ob2o2b2ob2ob3obobo2bobo
bobo2bo2bob4o4b4ob4ob10ob2obobo5bo7bo2b2o7b2o2bo4bo3bo3bo5b2obo3bo2b3o
3bo4bo4bo3bo2b3obo2b3o8b2obo3b4ob2o4b2o4bob2ob3o5bo4bo4bo6bobobob3o$5b
2ob2ob2o2bo2bo6b2o3b2o4bo4b5o2b4o2b2o5b2obobo2bo4b2ob2ob2o4bo3bo4bo4bo
3bo4b3obo5b2o3b3ob4obobo11b2o10bo3b4ob2o2bo4b4ob2obo2b3ob4o3b5ob8ob2ob
6obob2o4b2o2b4o2b2o4b2obob6ob2ob8ob5o3b4ob3o2bob2ob4o4bo2b2ob4o3bo10b
2o11bobob4ob3o3b2o5bob3o4bo3bo4bo4bo3bo4b2ob2ob2o4bo2bobob2o5b2o2b4o2b
5o4bo4b2o3b2o6bo2bo2b2ob2ob2o$4bo2b2obobobo3b3o4b2obob2obobob4ob12o2b
2obobobob2obo3b3obobo2b2obobob3ob2o3b2o3b4obobo3b2o2bob2o3b2ob2o2bob3o
bo2bo3b2ob2o5b2o3bo5b2o2b3ob2o4b3o2bo3b2ob8o3b5o3bo2b5o4b2ob2o6b3ob2ob
3o6b2ob2o4b5o2bo3b5o3b8ob2o3bo2b3o4b2ob3o2b2o5bo3b2o5b2ob2o3bo2bob3obo
2b2ob2o3b2obo2b2o3bobob4o3b2o3b2ob3obobob2o2bobob3o3bob2obobobob2o2b
12ob4obobob2obob2o4b3o3bobobob2o2bo$8b2obob2obobo4b3o2b2o2b2o3bobobob
2ob2ob2ob4ob4ob4ob2obobo2bob3o2bo2b2o3bo4bob2obobo2bob2ob3obobo2b2ob3o
bo2b2ob5o4bo5b2ob2o7bo4bob2o2b3obobobobo3bobob3o3b3obo10bo4bobo6b3o7b
2ob4ob2o7b3o6bobo4bo10bob3o3b3obobo3bobobobob3o2b2obo4bo7b2ob2o5bo4b5o
b2o2bob3ob2o2bobob3ob2obo2bobob2obo4bo3b2o2bo2b3obo2bobob2ob4ob4ob4ob
2ob2ob2obobobo3b2o2b2o2b3o4bobob2obob2o$9b2ob2ob3obobobo2b4o3bo3bob2ob
obobobobobob3o3b3o3b2ob3ob4o2bob3ob3obob7o2b2ob2obob6ob2o2b2o3b2ob6ob
3o4bobo2b2o2b2obo2bo2bo7bo5bob2ob2o2bob3o2bo6bobo2bo2b2obobo5bo7b3o7b
3o4b3o7b3o7bo5bobob2o2bo2bobo6bo2b3obo2b2ob2obo5bo7bo2bo2bob2o2b2o2bob
o4b3ob6ob2o3b2o2b2ob6obob2ob2o2b7obob3ob3obo2b4ob3ob2o3b3o3b3obobobobo
bobob2obo3bo3b4o2bobobob3ob2ob2o$9b2o2b2o2b3ob2ob2ob3o3bo3b2ob2obob3ob
3obobo2b2o3b2o2b2o2b2ob2o2b3ob4obob6o3b2ob5obo4bo2b5o3b2o2bo5bob2ob2ob
o2bobo4b2o4bo3b2obo2bobo2b4obob11o3bobob2o3bob2o2b2o5bo7b2o2b2o4b3o4b
3o4b2o2b2o7bo5b2o2b2obo3b2obobo3b11obob4o2bobo2bob2o3bo4b2o4bobo2bob2o
b2obo5bo2b2o3b5o2bo4bob5ob2o3b6obob4ob3o2b2ob2o2b2o2b2o3b2o2bobob3ob3o
bob2ob2o3bo3b3ob2ob2ob3o2b2o2b2o$7b3o2b2o4bobob5ob2o3bo3bo3b2ob2o2b2o
2b3o3b7o3b3o2b7o6bobobob2ob6o5b6o2b2ob2o2bobo2b3o2b2ob3o4b2o3bo4b2o4bo
bob2o2bobo2bobo3bobo2b2obo3b4ob3o2bobo4b2o2bo5b3o5b3ob2ob2o2b2o4b2o2b
2ob2ob3o5b3o5bo2b2o4bobo2b3ob4o3bob2o2bobo3bobo2bobo2b2obobo4b2o4bo3b
2o4b3ob2o2b3o2bobo2b2ob2o2b6o5b6ob2obobobo6b7o2b3o3b7o3b3o2b2o2b2ob2o
3bo3bo3b2ob5obobo4b2o2b3o$9b5o5b3o5bob3o3b4o3b3o4b2o2b2o3b3ob3o3b2ob2o
4b4o2b5ob2obob4obo2b4o2b8obob9obob3o3b4obo5b2ob2ob2ob5o3bo4b2ob8obob2o
5b10obo2b7o3bo4b2o2bob2o2b2ob3o4b3ob2o2b2obo2b2o4bo3b7o2bob10o5b2obob
8ob2o4bo3b5ob2ob2ob2o5bob4o3b3obob9obob8o2b4o2bob4obob2ob5o2b4o4b2ob2o
3b3ob3o3b2o2b2o4b3o3b4o3b3obo5b3o5b5o$8bo2b3o3bo2b2o3b2obo2bobobo2bobo
2bo5b4ob3ob2obob2ob3ob5o4bobob3o2b2ob3o3bob2ob6ob2ob2ob2obob2ob2o6b3o
3bobob4obo4b2o4bob3o3b2obobo2bob2ob2obobobobob2o4bo2b4o3b3o2b2ob4obob
2o3b2o4b5o4b5o4b2o3b2obob4ob2o2b3o3b4o2bo4b2obobobobob2ob2obo2bobob2o
3b3obo4b2o4bob4obobo3b3o6b2ob2obob2ob2ob2ob6ob2obo3b3ob2o2b3obobo4b5ob
3ob2obob2ob3ob4o5bo2bobo2bobobo2bob2o3b2o2bo3b3o2bo$13b3ob3ob3ob3ob2ob
3ob2ob2ob2o5b3ob2o3b3ob3o3b2o4bobo3b2o2b3o2b2o2b4obobo2b2ob3obobobo2b
3obobob2o2bo2b2o3bob2o2b2ob5o2b4obob2ob7ob2obobobob5ob2obob2o3b2ob3o3b
2ob2ob3o2bo2b2o2bob2o5bob2ob2ob2obo5b2obo2b2o2bo2b3ob2ob2o3b3ob2o3b2ob
ob2ob5obobobob2ob7ob2obob4o2b5ob2o2b2obo3b2o2bo2b2obobob3o2bobobob3ob
2o2bobob4o2b2o2b3o2b2o3bobo4b2o3b3ob3o3b2ob3o5b2ob2ob2ob3ob2ob3ob3ob3o
b3o$12bo2b2ob3o2b3ob6o2b5ob5o3b2obo2bo3bo3bo3bo2b4ob2obob10o4b6ob2obob
ob2obobob3o2b3ob3obo2b3o3b2ob3ob2ob11obob3o5b7obob2o3b3obobobobobobob
2ob3ob4o3b2ob3o3b3o2b2ob2obo6bob2ob2o2b3o3b3ob2o3b4ob3ob2obobobobobobo
b3o3b2obob7o5b3obob11ob2ob3ob2o3b3o2bob3ob3o2b3obobob2obobob2ob6o4b10o
bob2ob4o2bo3bo3bo3bo2bob2o3b5ob5o2b6ob3o2b3ob2o2bo$16b2obo2bo3bo6bo2bo
bo3bob2ob3ob3o5b2ob2o5b7ob3o3b3ob2o2bob3obo2b4obobo2b7o4b2o2bo2b6o3bo
3b3o2bob2ob2ob2ob4o3bo3bo6b4o2b3o3b5ob5ob3o3b2o4b6ob2o3bob2ob2obobob6o
bobob2ob2obo3b2ob6o4b2o3b3ob5ob5o3b3o2b4o6bo3bo3b4ob2ob2ob2obo2b3o3bo
3b6o2bo2b2o4b7o2bobob4o2bob3obo2b2ob3o3b3ob7o5b2ob2o5b3ob3ob2obo3bobo
2bo6bo3bo2bob2o$17b2o3bo3bo4b3ob2ob2ob2obo2bo2bo2bobob9obobob2obo3b2o
5bobob3obobob2o2bob7o2bo5bob3o3b2ob2ob2ob4o5b2obobobobobob3o14bo3b10o
3b3o3b2o3b3o2b4obo4b3o3bob3o2b3ob8ob3o2b3obo3b3o4bob4o2b3o3b2o3b3o3b
10o3bo14b3obobobobobob2o5b4ob2ob2ob2o3b3obo5bo2b7obo2b2obobob3obobo5b
2o3bob2obobob9obobo2bo2bo2bob2ob2ob2ob3o4bo3bo3b2o$17b2obobob3ob2ob2ob
4obobobob2ob2ob2ob4o7b4obobob2ob3o4bobob3obobob6ob3ob2ob2o3b8obobobobo
bo2bo2bobob5obobobobob2o19bo2b3ob3o3bo3bo3b14o3b3ob3o4bo3b2o2b3o2b3o2b
2o3bo4b3ob3o3b14o3bo3bo3b3ob3o2bo19b2obobobobob5obobo2bo2bobobobobob8o
3b2ob2ob3ob6obobob3obobo4b3ob2obobob4o7b4ob2ob2ob2obobobob4ob2ob2ob3ob
obob2o$15b3o2b3o3bo4b3o4bobob13o3bo5bo3b4obobobob3o4bo2bob5o4b3o2bobob
obobob3o4b4obobobob2ob2ob4o4b9o2bo23bobo14b3ob3o3b3obobo2bo2bobob2o3b
5o6b5o3b2obobo2bo2bobob3o3b3ob3o14bobo23bo2b9o4b4ob2ob2obobobob4o4b3ob
obobobobo2b3o4b5obo2bo4b3obobobob4o3bo5bo3b13obobo4b3o4bo3b3o2b3o$17b
9ob4o3b4ob4o12bo11bo3b4obobo2bobob2o2b2o2bo2b2o5b2obobobob4o5bo3b4ob
10o3bo4b3ob3o26bobobo15bobo7b4ob2ob2ob7ob3o2bo4bo2b3ob7ob2ob2ob4o7bobo
15bobobo26b3ob3o4bo3b10ob4o3bo5b4obobobob2o5b2o2bo2b2o2b2obobo2bobob4o
3bo11bo12b4ob4o3b4ob9o$16bo2b3ob17o3bo26bo3b4ob2ob9o3b2obobob7ob4o3bo
7bo3b3o9bo9bobo30bo16bobobo5bo3b9o5b3o14b3o5b9o3bo5bobobo16bo30bobo9bo
9b3o3bo7bo3b4ob7obobob2o3b9ob2ob4o3bo26bo3b17ob3o2bo$21bobo5b3ob3o4bo
32bo3b6o5b3obobobob4o5b3o3bo13bo3bo17bobobo48bo10bo9bo3bo3bo12bo3bo3bo
9bo10bo48bobobo17bo3bo13bo3b3o5b4obobobob3o5b6o3bo32bo4b3ob3o5bobo$20b
obobo6bobo42bo6bo6b4ob4o3bo3bo3bo40bo172bo40bo3bo3bo3b4ob4o6bo6bo42bob
o6bobobo$22bo7bobobo54bo3b3o3bo276bo3b3o3bo54bobobo7bo$32bo59bo3bo282b
o3bo59bo!

Lastly, I tried B258/S02357, where I had previously found a very large, asymmetric, bow-shaped ship by manually combining two halves that I had seen. This time I again ran c1-s2s with mid_steps 50 and autoChoke ~20mb. While I did not find a ship directly, I did managed to manually combine new components to create a smaller (by bounding box) ship:

Code: Select all

x = 366, y = 277, rule = B258/S02357
357bo$315bo41bobo$313bo2b43o$313bo3bo2bo27bo10b2o$315b2o3bobo18bo4bo2b
10o$312b4ob5o19bobo2bo3bo6bobo$311bo4bo5b21o5b2o7bo$309bo4bob6o21b6ob
2o$309bo4bobobo2b22o6bo4bo$311bo4b4o22b7obo3bobo$312b2ob4ob2o20b2o3bob
7o$317b2o28bo8b2o$313b2obo2bo2b21o6b7o$312bo5b3o2bo16bo9bo3bobo$310bo
4b5ob2o17bob8o4bo$310bo4b3o3bob19o6bob2o$312bo7b2o20bo5bo$313b2obo3bob
o9bo8b10o$317b4o11bobo4bo14bo$314bo3bob14o5bobo8b2o2bobo$286bo27bob2o
16b7o9b6o$284bo2b29ob2ob14o7b10o5b2o$284bo3bo2bo24bob3o12b8o10b5o$286b
2o3bobo8bo12b2o3bobo10b2o5b11o3bobo$283b4ob5o9bobo6bo3bobo2b2o16bo10bo
bo2bo$282bo4bo5b11o5bo2b4o5bo12b2o2bobo8bo$280bo4bob6o11b2o3bo3bob6obo
11b6o$280bo4bobobo2b12o7b2o6bob14o5b2o$282bo4b4o11bobob6ob2o4bo15b5o$
283b2ob4ob2o9bo4bo4bo8b14o3bobo$288b2o16b6obo8bo4bo5bobo2bo$284b2obo2b
o2b10obo5bob10o5bobo3bo$283bo5b3o2bo5bo4b2o3bo9bob7o$281bo4b5ob2o6bobo
10bo6bo2bo5b2o$281bo4b3o3bob8o4b2o5bobo6b7o$283bo7b2o9b2o2b9o8b2o2bobo
$284b2obo3bobo7b6o8b8o4bo$288b4o7bo2bo4b8o6bobo$285bo4b2o4bo2bob6o6bob
o5bo$248bo36bob2o2bo2bo2b4o4bobo5bo$246bo2b38o3b2o2bo3b2o5bo$246bo3bo
2bo30b2o2b4o4b2o$248b2o3bobo3bo23bo5b4ob3obo$245b4ob5o4bobo2bo16bo4b3o
3b3obo$244bo4bo5b6o3bobo9bo4bo4b3o3b5o$49bo192bo4bob6o6b5o10bobo4bo5bo
5bobo$19bo29bobo190bo4bobobo2b7o5b12o6b2o2b5o2bo$17bo2b31o193bo4b4o7b
6o12b9o$17bo3bo7bo21b2o6bo185b2ob4obo6b2o3b13o7bobo3bo$19b2o8bobo18b4o
5bobo188b2o13b2o4bo4bobo6bo5bobo$16b4ob10o18bo2bob7o185b2o2bo8b2o10bob
o2bo10b6o$15bo4bo10b2o14bo4bo2bo5b2o183b5o8b6ob7o5b10o5b2o$13bo4bob11o
16bo6b7o158bo28b2ob9o7bo5b6o9b5o$13bo4bobobo6bobo17bo5b2o2bobo155bo2b
26obo3bo8b5ob7o6b9o3bobo$15bo4b4o5bo20b5o4bo157bo3bo21bo5bob9o12b7o7bo
bo2bo$16b2ob4ob9o20bobo8bo154b2o22bobo4b3o5bobo3b2o6b2o3bobo6bo$14b8ob
o25b2o2bo10bobo149b4ob24o3b3o7bo5b3o10bo$14b2o2bo4b10obo14b17o149bo4bo
24b2o2b3o14b7o$18bobob3o10b15o16b2o145bo4bob25o3b4obo9b2o4bo$15b5o4b9o
5bo11b16o147bo4bobobo20bobo4b3o10b3o3bobo$14bo5b2o2b2o10bo2b11o3bo10bo
bo148bo4b4o19bo5bo2bo12b6o$12bo6b6ob7obo2b13o3bobo8bo151b2ob4ob22obo3b
ob11o7b2o$12bo4bo2bo4bo4bo4b4o11b5o45bo113b8obo24b5o12b6o$14bo2bob6obo
3bobo5b12o5b2o14bo28bobo111b2o2bo4b23o4b2o3bo7b3o3bobo$15b4o4bob7o4bo
12b6o14bo2b30o116bobob3o24bo5bobo5b2o4bo$16b2o5bo8b2o2bo2bo9b2o2bobo
13bo3bo6bo21b2o6bo104b5o4b22obo3b6o$14b2o9b7o6bo14bo17b2o7bobo18b4o5bo
bo101bo5b2o2b2o22b4o5b7o$10bo3bobo5b4o4bobo7b10o18b4ob9o18bo2bob7o100b
o6b6ob20o4b7o3bo$8bo2b4o7b3o5bo10bo4bo20bo4bo9b2o14bo4bo2bo5b2o98bo4bo
2bo4bo17bo5bo2b5o3bobo$8bo3bob3obo7b15o5bobo16bo4bob10o16bo6b7o102bo2b
ob6obo16bobobo3bo5b5o$10b2o7b3o2b3o12bob7o17bo4bobobo5bobo17bo5b2o2bob
o102b4o4bob20o3b9o5b2o$11b2ob3o7b2o13bo2bo5b2o17bo4b4o4bo20b5o4bo105b
2o5bo6bo14bo10b6o$9b2ob3o5bo20b7o20b2ob4ob8o20bobo8bo98b2o9bo4bobo2bo
8b4o6bo5bobo$9b2o3bobobo2b4o17b2o2bobo17b8obo24b2o2bo10bobo92bo3bobo9b
6o3bobo5bo10bobo3bo$11bo2b2o3b23o4bo19b2o2bo4b9obo14b17o91bo2b4o7bo9b
5o4bo6b8o$10b7o5b2o16bobo8bo18bobob3o9b15o16b2o89bo3bob3obo3bobob6o5b
2o2bo4bo2bo6b2o$9bo5bob2obo2b2o15bo10bobo13b5o4b8o5bo11b16o93b2o7b5o3b
o3b6o6bo2bob8o$7bo7bo5b2ob29o13bo5b2o2b2o9bo2b11o3bo10bobo93b2ob3o4b2o
2bobobo5bobo6b4o6bobo$3bo3bob9ob4o16b2obo10b2o9bo6b6ob6obo2b13o3bobo8b
o93b2ob3o5bo5b3o2bo3bo9b2o7bo$bo2b5o11b5o13bo4b10o11bo4bo2bo4bo3bo4b4o
11b5o103b2o3bobobo4b4obo3b13o$bo3bob11ob3o14bo3bo10bobo12bo2bob6obo2bo
bo5b12o5b2o103bo2b2o3b2obo2b4o14bobo$3b2o3bobo10b4obo9bo4b2o8bo15b4o4b
ob6o4bo12b6o104b7o7bo2bob3o3bo7bo$4b2ob11obo7b11o30b2o5bo7b2o2bo2bo9b
2o2bobo102bo5bob2obo6bo7bobo$2b2ob4o11bo4b11ob5o24b2o9b6o6bo14bo102bo
7bo5b9o2b5o$2b2o3bob9o7b2o35bo3bobo5b4o3bobo7b10o106bo10bo13b3obo$4bo
2bo27b2o3bo19bo2b4o7b3o4bo10bo4bo111bo8bob2o8b3ob3obo$3b7o6bo7b2o9b3o
2bobo17bo3bob3obo7b14o5bobo110b10o10b2o4b2o$2bo13bobo5b3o10b5o20b2o7b
3o2b3o11bob7o112bo8bo13bo3b2o4bo$o9b8o8b10o6b2o19b2ob3o7b2o12bo2bo5b2o
108b2o8b12o3bo2b4o3bobo$o7bo2bo6b6o2b2o9b5o19b2ob3o5bo19b7o106bo3bob2o
4bo18bo2bob5o$2bo5bob8o17b3o2bobo18b2o3bobobo2b4o16b2o2bobo103bo2b4o7b
obo10b2o7bo6b2o$3b7o6bobo4b4o8b2o3bo22bo2b2o3b22o4bo105bo3bob3ob6o10bo
11b5o$4bo5bo5bo6b5o34b7o5b2o15bobo8bo102b2o7bo4b2o6bo4b10o2bobo$2b2o5b
11o7b9o25bo5bob2obo2b2o14bo10bobo101b2ob3ob6o8bo4b9o3bo$2b2o3bo14b2o3b
2o4bo25bo7bo5b2ob28o100b2ob3o7bobo9bo$4bo2bob11obo11bob2o18bo3bob9ob4o
15b2obo10b2o98b2o3bobobo3bo12b2o7bo$3b6o8bo6b3ob7o4bo13bo2b5o11b5o12bo
4b10o102bo2b2o3b19o6bobo$2bo6bo7bobo4b5o6bo3bobo11bo3bob11ob3o13bo3bo
10bobo100b7o19bob8o$o7b11o8bo6b7o14b2o3bobo10b4obo8bo4b2o8bo101bo5bob
2o17bo2bo6b2o$o5bo12b5o3bo4bo8b2o13b2ob11obo7b10o113bo7bo22b8o$2bo3bob
11o10bo2bob7o13b2ob4o11bo4b10ob5o109bo10b2o19b2o3bobo$3b5o9bobo3b2o5b
4o5bobo12b2o3bob9o7b2o125bo8b21o5bo$5b2o10bo5b3o5b2o6bo16bo2bo26b2o3bo
113b9o18bobo$4bo20b6o24b7o6bo7b2o8b3o2bobo109b10o19bo$2bo4b17o5bobo22b
o13bobo5b3o9b5o110b2o18bo$2bo4b18o4bo22bo9b8o8b9o6b2o117b2o9bobo$4bo
19b9o19bo7bo2bo6b6o2b2o8b5o109b2o8b13o$5b2o15bo31bo5bob8o16b3o2bobo
108b11o4bo7b2o$3b5o14bobo6bo23b7o6bobo3bo4b2o5b2o3bo112b8o3bo2b7o$2bo
3bob16o7bobo22bo5bo5bo5bobo2b3o121bo11bo3bo3bobo$o5bo17b9o21b2o5b15o5b
6o114bo9b2o4b2o4bo$o7b16o9b2o19b2o3bo16b3o2b2o118bo9b3ob3ob2o7bo$2bo6b
o7bo5b10o23bo2bob15o10b2o3bo111bo9b3obo10bobo3bo$3b6o8bobo3b2o6bobo21b
6o8bo4bobo2b3o4b3o2bobo110b7o2b5o2b10o4bobo$4bo2bob10o12bo22bo6bo7bobo
2bo4b4o5b5o112bo10bobo2bo8b6o$2b2o3bo11b5o28bo7b11o11b5o6b2o108b2o6b2o
3bo3b10o6b2o$2b2o5b10o33bo5bo12b8obo7b5o110b2o6b3o7b2o6b7o$4bo5bo6bobo
2bo31bo3bob11o10b2o3b3o2bobo111bo7b8o6bo6bobo$3b7o7bo4bobo30b5o10b9o7b
2o3bo112b7o2b2o4bobo3bo2bo5bo$2bo5bob14o33b2o11b2o10b2o119bo15bo5bo$o
7bo15b2o30bo21b2o2b5o114bo8b4o13b9o$o9b14o30bo4b12o7b5o118bo8b5o13bo3b
o$2bo8bo4bo5bobo29bo4b13o8b2o3bo117bo10b14o4bobo$3b8o5bobo3bo33bo14b7o
bo5bobo116b6o4b2o10bob6o$4bo4bob7o39b2o2bo9b2o8b6o118bo20bo2bo4b2o$2b
2o5bo2bo5b2o41bobo13bo4bo4b2o114b2o4b6o13b6o$2b2o7b7o40b5o9b2o3bobob6o
116b2o4b7o16bobo$4bo7b2o2bobo38bo5b2o7b7o6bobo117bo9b14o3bo$3b9o4bo38b
o6b11o6b2o4bo118b5o6b2o$2bo7bobo42bo4bo2bo9b6o124bo23bo$o9bo46bo2bob
11o4bobo121bo6b2o4b2o11bobo$o57b4o9bobo3bo123bo6b3o3b15o$2bo56b2o10bo
131bo6b5o14b2o$3b56o145b5o6b14o$4bo52bobo145bo4b5o12bobo$2b2o53bo145b
2o3b3o2bobo11bo$2b2o48bo150b2o3b2o3bo$4bo47bobo150bo$3b51o150b5o8bo$2b
o51b2o10bo136bo13bobo9bo$o52b4o9bobo3bo128bo7b10o10bobo$o9bo41bo2bob
11o4bobo126bo5bo2bo8b12o$2bo7bobo37bo4bo2bo9b6o129bo3bob10o12b2o5bo$3b
9o4bo33bo6b11o6b2o4bo123b5o8bobo10b4o4bobo$4bo7b2o2bobo33bo5b2o7b7o6bo
bo123b2o9bo11bo2bob6o$2b2o7b7o35b5o9b2o3bobob6o123bo21bo4bo2bo4b2o$2b
2o5bo2bo5b2o36bobo13bo4bo4b2o119bo4b11o8bo6b6o$4bo4bob7o34b2o2bo9b2o8b
6o121bo4b21o9bobo$3b8o5bobo3bo28bo14b7obo5bobo122bo13b8ob7o3bo$2bo8bo
4bo5bobo24bo4b13o8b2o3bo125b2o10bo$o9b14o25bo4b12o7b5o138bo10b2o4bo$o
7bo15b2o25bo21b2o2b5o125b2o7bo10b3o3bobo2bo$2bo5bob14o28b2o11b2o10b2o
128b11o11b6o3bobo$3b7o7bo4bobo25b5o10b9o7b2o3bo122b7ob11o7b5o$4bo5bo6b
obo2bo26bo3bob11o10b2o3b3o2bobo119bo20b6o5b2o$2b2o5b10o28bo5bo12b8obo
7b5o118bo9b2o4bo4b3o4b6o$2b2o3bo11b5o23bo7b11o11b5o6b2o116bo9b3o3bobo
2b2o3bo5bobo$4bo2bob10o12bo17bo6bo7bobo2bo4b4o5b5o120bo9b6o8bobo3bo$3b
6o8bobo3b2o6bobo16b6o8bo4bobo2b3o4b3o2bobo120b8o7b3ob6o$2bo6bo7bo5b10o
18bo2bob15o10b2o3bo123bo7b6o5bo4b2o$o7b16o9b2o14b2o3bo16b3o2b2o130b2o
6b3o4b4ob6o$o5bo17b9o16b2o5b15o5b6o126b2o6b2o3bo10bobo$2bo3bob16o7bobo
17bo5bo5bo5bobo2b3o133bo10bobo2b2o4bo$3b5o14bobo6bo18b7o6bobo3bo4b2o5b
2o3bo122b7o2b5o3b3o$5b2o15bo26bo5bob8o16b3o2bobo119bo9b3obo5b6o$4bo19b
9o14bo7bo2bo6b6o2b2o8b5o118bo9b3ob3obobo$2bo4b18o4bo17bo9b8o8b9o6b2o
116bo9b2o4b2o3bo4bo$2bo4b17o5bobo17bo13bobo5b3o9b5o120bo11bo3bo7bobo$
4bo20b6o19b7o6bo7b2o8b3o2bobo120b8o3bo2b11o$5b2o10bo5b3o5b2o6bo11bo2bo
26b2o3bo120b11o4bo11b2o$3b5o9bobo3b2o5b4o5bobo7b2o3bob9o7b2o133b2o8b
17o$2bo3bob11o10bo2bob7o8b2ob4o11bo4b10ob5o129b2o13bobo$o5bo12b5o3bo4b
o8b2o8b2ob11obo7b10o124b2o22bo$o7b11o8bo6b7o9b2o3bobo10b4obo8bo4b2o8bo
110b10o19bo$2bo6bo7bobo4b5o6bo3bobo6bo3bob11ob3o13bo3bo10bobo110b9o18b
obo$3b6o8bo6b3ob7o4bo8bo2b5o11b5o12bo4b10o110bo8b21o5bo$4bo2bob11obo
11bob2o13bo3bob9ob4o15b2obo10b2o106bo10b2o19b2o3bobo$2b2o3bo14b2o3b2o
4bo20bo7bo5b2ob28o108bo7bo22b8o$2b2o5b11o7b9o20bo5bob2obo2b2o14bo10bob
o109bo5bob2o17bo2bo6b2o$4bo5bo5bo6b5o29b7o5b2o15bobo8bo112b7o19bob8o$
3b7o6bobo4b4o8b2o3bo17bo2b2o3b22o4bo118bo2b2o3b19o6bobo$2bo5bob8o17b3o
2bobo13b2o3bobobo2b4o16b2o2bobo114b2o3bobobo3bo12b2o7bo$o7bo2bo6b6o2b
2o9b5o14b2ob3o5bo19b7o115b2ob3o7bobo9bo$o9b8o8b10o6b2o14b2ob3o7b2o12bo
2bo5b2o115b2ob3ob6o8bo4b9o3bo$2bo13bobo5b3o10b5o15b2o7b3o2b3o11bob7o
116b2o7bo4b2o6bo4b10o2bobo$3b7o6bo7b2o9b3o2bobo12bo3bob3obo7b14o5bobo
113bo3bob3ob6o10bo11b5o$4bo2bo27b2o3bo14bo2b4o7b3o4bo10bo4bo115bo2b4o
7bobo10b2o7bo6b2o$2b2o3bob9o7b2o30bo3bobo5b4o3bobo7b10o114bo3bob2o4bo
18bo2bob5o$2b2ob4o11bo4b11ob5o19b2o9b6o6bo14bo114b2o8b12o3bo2b4o3bobo$
4b2ob11obo7b11o25b2o5bo7b2o2bo2bo9b2o2bobo114bo8bo13bo3b2o4bo$3b2o3bob
o10b4obo9bo4b2o8bo10b4o4bob6o4bo12b6o114b10o10b2o4b2o$bo3bob11ob3o14bo
3bo10bobo7bo2bob6obo2bobo5b12o5b2o111bo8bob2o8b3ob3obo$bo2b5o11b5o13bo
4b10o6bo4bo2bo4bo3bo4b4o11b5o111bo10bo13b3obo$3bo3bob9ob4o16b2obo10b2o
4bo6b6ob6obo2b13o3bobo8bo101bo7bo5b9o2b5o$7bo7bo5b2ob29o8bo5b2o2b2o9bo
2b11o3bo10bobo101bo5bob2obo6bo7bobo$9bo5bob2obo2b2o15bo10bobo8b5o4b8o
5bo11b16o103b7o7bo2bob3o3bo7bo$10b7o5b2o16bobo8bo13bobob3o9b15o16b2o
102bo2b2o3b2obo2b4o14bobo$11bo2b2o3b23o4bo14b2o2bo4b9obo14b17o102b2o3b
obobo4b4obo3b13o$9b2o3bobobo2b4o17b2o2bobo12b8obo24b2o2bo10bobo101b2ob
3o5bo5b3o2bo3bo9b2o7bo$9b2ob3o5bo20b7o15b2ob4ob8o20bobo8bo105b2ob3o4b
2o2bobobo5bobo6b4o6bobo$11b2ob3o7b2o13bo2bo5b2o12bo4b4o4bo20b5o4bo109b
2o7b5o3bo3b6o6bo2bob8o$10b2o7b3o2b3o12bob7o12bo4bobobo5bobo17bo5b2o2bo
bo105bo3bob3obo3bobob6o5b2o2bo4bo2bo6b2o$8bo3bob3obo7b15o5bobo11bo4bob
10o16bo6b7o106bo2b4o7bo9b5o4bo6b8o$8bo2b4o7b3o5bo10bo4bo15bo4bo9b2o14b
o4bo2bo5b2o106bo3bobo9b6o3bobo5bo10bobo3bo$10bo3bobo5b4o4bobo7b10o13b
4ob9o18bo2bob7o112b2o9bo4bobo2bo8b4o6bo5bobo$14b2o9b7o6bo14bo12b2o7bob
o18b4o5bobo113b2o5bo6bo14bo10b6o$16b2o5bo8b2o2bo2bo9b2o2bobo8bo3bo6bo
21b2o6bo114b4o4bob20o3b9o5b2o$15b4o4bob7o4bo12b6o9bo2b30o122bo2bob6obo
16bobobo3bo5b5o$14bo2bob6obo3bobo5b12o5b2o9bo28bobo119bo4bo2bo4bo17bo
5bo2b5o3bobo$12bo4bo2bo4bo4bo4b4o11b5o40bo121bo6b6ob20o4b7o3bo$12bo6b
6ob7obo2b13o3bobo13bo149bo5b2o2b2o22b4o5b7o$14bo5b2o2b2o10bo2b11o3bo
15bobo148b5o4b22obo3b6o$15b5o4b9o5bo11b21o152bobob3o24bo5bobo5b2o4bo$
18bobob3o10b15o21b2o146b2o2bo4b23o4b2o3bo7b3o3bobo$14b2o2bo4b10obo14b
22o148b8obo24b5o12b6o$14b8obo25b2o2bo15bobo149b2ob4ob22obo3bob11o7b2o$
16b2ob4ob9o20bobo13bo150bo4b4o19bo5bo2bo12b6o$15bo4b4o5bo20b5o4bo158bo
4bobobo20bobo4b3o10b3o3bobo$13bo4bobobo6bobo17bo5b2o2bobo156bo4bob25o
3b4obo9b2o4bo$13bo4bob11o16bo6b7o159bo4bo24b2o2b3o14b7o$15bo4bo10b2o
14bo4bo2bo5b2o158b4ob24o3b3o7bo5b3o10bo$16b4ob10o18bo2bob7o163b2o22bob
o4b3o5bobo3b2o6b2o3bobo6bo$19b2o8bobo18b4o5bobo160bo3bo21bo5bob9o12b7o
7bobo2bo$17bo3bo7bo21b2o6bo162bo2b26obo3bo8b5ob7o6b9o3bobo$17bo2b31o
173bo28b2ob9o7bo5b6o9b5o$19bo29bobo199b5o8b6ob7o5b10o5b2o$49bo201b2o2b
o8b2o10bobo2bo10b6o$255b2o13b2o4bo4bobo6bo5bobo$250b2ob4obo6b2o3b13o7b
obo3bo$249bo4b4o7b6o12b9o$247bo4bobobo2b7o5b12o6b2o2b5o2bo$247bo4bob6o
6b5o10bobo4bo5bo5bobo$249bo4bo5b6o3bobo9bo4bo4b3o3b5o$250b4ob5o4bobo2b
o16bo4b3o3b3obo$253b2o3bobo3bo23bo5b4ob3obo$251bo3bo2bo30b2o2b4o4b2o$
251bo2b38o3b2o2bo3b2o5bo$253bo36bob2o2bo2bo2b4o4bobo5bo$290bo4b2o4bo2b
ob6o6bobo5bo$293b4o7bo2bo4b8o6bobo$289b2obo3bobo7b6o8b8o4bo$288bo7b2o
9b2o2b9o8b2o2bobo$286bo4b3o3bob8o4b2o5bobo6b7o$286bo4b5ob2o6bobo10bo6b
o2bo5b2o$288bo5b3o2bo5bo4b2o3bo9bob7o$289b2obo2bo2b10obo5bob10o5bobo3b
o$293b2o16b6obo8bo4bo5bobo2bo$288b2ob4ob2o9bo4bo4bo8b14o3bobo$287bo4b
4o11bobob6ob2o4bo15b5o$285bo4bobobo2b12o7b2o6bob14o5b2o$285bo4bob6o11b
2o3bo3bob6obo11b6o$287bo4bo5b11o5bo2b4o5bo12b2o2bobo8bo$288b4ob5o9bobo
6bo3bobo2b2o16bo10bobo2bo$291b2o3bobo8bo12b2o3bobo10b2o5b11o3bobo$289b
o3bo2bo24bob3o12b8o10b5o$289bo2b29ob2ob14o7b10o5b2o$291bo27bob2o16b7o
9b6o$319bo3bob14o5bobo8b2o2bobo$322b4o11bobo4bo14bo$318b2obo3bobo9bo8b
10o$317bo7b2o20bo5bo$315bo4b3o3bob19o6bob2o$315bo4b5ob2o17bob8o4bo$
317bo5b3o2bo16bo9bo3bobo$318b2obo2bo2b21o6b7o$322b2o28bo8b2o$317b2ob4o
b2o20b2o3bob7o$316bo4b4o22b7obo3bobo$314bo4bobobo2b22o6bo4bo$314bo4bob
6o21b6ob2o$316bo4bo5b21o5b2o7bo$317b4ob5o19bobo2bo3bo6bobo$320b2o3bobo
18bo4bo2b10o$318bo3bo2bo27bo10b2o$318bo2b43o$320bo41bobo$362bo!

Edit: Here's a smaller B258/S02357 p1 photon:

Code: Select all

x = 91, y = 158, rule = B258/S02357
69bo$19bo49bobo$17bo2b51o$17bo3bo34bo14b2o9bo$19b2o35bobo11b4o8bobo$
16b4ob37o11bo2bob10o$15bo4bo37b2o7bo4bo11b2o$13bo4bob38o9bo6b10o$13bo
4bobobo33bobo10bo5bo6bobo$15bo4b4o32bo13b5o3bo3bo$16b2ob4ob35obo12bobo
bo$14b8obo37b10o2bo5b5o$14b2o2bo4b36o4bo3bo9b3o$18bobob3o37bo4bobo7b2o
3bo$15b5o4b35obo3b5o13bobo$14bo5b2o2b2o35b4o4b8ob6o$12bo6b6ob33o4b6o5b
o4bo4b2o$12bo4bo2bo4bo30bo5bo2b4o5bobob6o$14bo2bob6obo29bobobo3bo4b7o
6bobo$15b4o4bob33o3b8o7b2o4bo$16b2o5bo24bo9bo9b8o$14b2o9bo22bobo6b4o5b
o7bobo$10bo3bobo9b24o6bo9bobo5bo$8bo2b4o7bo27b2o2bo6b7o$8bo3bob3obo3bo
bob24o4bo4bo2bo5b2o$10b2o7b5o3bo20bobo5bo2bob7o$11b2ob3o4b2o2bobobo18b
o8b4o5bobo$9b2ob3o5bo5b3o29b2o6bo$9b2o3bobobo4b4obo18b11o$11bo2b2o3b2o
bo2b4o17bo9bobo$10b7o7bo2bobo14bo11bo$9bo5bob2obo6bo16bob14o$7bo7bo5b
25o17bo$7bo10bo24b2o14b2o2bobo$9bo8bob2o20bo16b6o$10b10o20bo4b15o5b2o$
11bo8bo19bob2o2bo13b5o$9b2o8b23o3b15o3bobo$5bo3bob2o4bo24bo15bobo2bo$
3bo2b4o7bobo21b4o4bo8bo$3bo3bob3ob6o21bo8bobo$5b2o7bo4b2o17bo6b6o$6b2o
b3ob6o19bo4bo2bo4b2o$4b2ob3o7bobo9bo10bo2bob6o$4b2o3bobobo3bo11bobo9b
4o4bobo$6bo2b2o3b17o11b2o5bo$5b7o4b2obo11b11o$3bo6bob2obo4b11o9bobo$bo
2bo5bo6bo3bo2bo4bobo3bo4bo$bo11bo4b3o3bobo2bo5bobo$3b8obo6bob5o5b6o$4b
o9b5o2bo4b6o5b2o$2b2o7b4o2bob2ob4o6b5o$2b2o7b3o3bo2b2o3b7o3bobo$4bo14b
2o2bo6bobo2bo$3b8o2b2o5bo3bo5bo$2bo10b7ob16o$o9b4o5b2o12bo$o9b3o4bo3bo
11bobo$2bo14bo2b15o$3b7o2b2o5bo15b2o$4bo7b23o$2b2o6b3o20bobo$2b2o6b2o
21bo$4bo$3b8o$bo12bo$bo2bo5b2o2bobo2bo$3bo6b6o3bobo$5b6o5b5o$6bo2b7o5b
2o$4b2o3bo5b6o$4b2ob3obo3b2o2bobo$6b2ob2o8bo$5b2o4b5o$3bo3bob2o11bo$3b
o2b4obo3b2o5bobo$5bo3bo5b9o$9b7o8b2o$14b10o$10bo3bo7bobo$8bo2b4obo5bo$
8bo3bob2o$10b2o4b2o$11b2ob2o$9b2ob3obo3bo$9b2o3bo5bobo$11bo2b8o$10b6o
6b2o$8bo6b7o$6bo2bo5b2o3bobo$6bo13bo$8b8o$9bo$7b2o6b2o21bo$7b2o6b3o20b
obo$9bo7b23o$8b7o2b2o5bo15b2o$7bo14bo2b15o$5bo9b3o4bo3bo11bobo$5bo9b4o
5b2o12bo$7bo10b7ob16o$8b8o2b2o5bo3bo5bo$9bo14b2o2bo6bobo2bo$7b2o7b3o3b
o2b2o3b7o3bobo$7b2o7b4o2bob2ob4o6b5o$9bo9b5o2bo4b6o5b2o$8b8obo6bob5o5b
6o$6bo11bo4b3o3bobo2bo5bobo$6bo2bo5bo6bo3bo2bo4bobo3bo4bo$8bo6bob2obo
4b11o9bobo$10b7o4b2obo11b11o$11bo2b2o3b17o11b2o5bo$9b2o3bobobo3bo11bob
o9b4o4bobo$9b2ob3o7bobo9bo10bo2bob6o$11b2ob3ob6o19bo4bo2bo4b2o$10b2o7b
o4b2o17bo6b6o$8bo3bob3ob6o21bo8bobo$8bo2b4o7bobo21b4o4bo8bo$10bo3bob2o
4bo24bo15bobo2bo$14b2o8b23o3b15o3bobo$16bo8bo19bob2o2bo13b5o$15b10o20b
o4b15o5b2o$14bo8bob2o20bo16b6o$12bo10bo24b2o14b2o2bobo$12bo7bo5b25o17b
o$14bo5bob2obo6bo16bob14o$15b7o7bo2bobo14bo11bo$16bo2b2o3b2obo2b4o17bo
9bobo$14b2o3bobobo4b4obo18b11o$14b2ob3o5bo5b3o29b2o6bo$16b2ob3o4b2o2bo
bobo18bo8b4o5bobo$15b2o7b5o3bo20bobo5bo2bob7o$13bo3bob3obo3bobob24o4bo
4bo2bo5b2o$13bo2b4o7bo27b2o2bo6b7o$15bo3bobo9b24o6bo9bobo5bo$19b2o9bo
22bobo6b4o5bo7bobo$21b2o5bo24bo9bo9b8o$20b4o4bob33o3b8o7b2o4bo$19bo2bo
b6obo29bobobo3bo4b7o6bobo$17bo4bo2bo4bo30bo5bo2b4o5bobob6o$17bo6b6ob
33o4b6o5bo4bo4b2o$19bo5b2o2b2o35b4o4b8ob6o$20b5o4b35obo3b5o13bobo$23bo
bob3o37bo4bobo7b2o3bo$19b2o2bo4b36o4bo3bo9b3o$19b8obo37b10o2bo5b5o$21b
2ob4ob35obo12bobobo$20bo4b4o32bo13b5o3bo3bo$18bo4bobobo33bobo10bo5bo6b
obo$18bo4bob38o9bo6b10o$20bo4bo37b2o7bo4bo11b2o$21b4ob37o11bo2bob10o$
24b2o35bobo11b4o8bobo$22bo3bo34bo14b2o9bo$22bo2b51o$24bo49bobo$74bo!

-Matthias Merzenich

Sokwe: Moderator; Posts: 3367; Joined: July 9th, 2009, 2:44 pm

Re: Spaceships in Life-like cellular automata

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Post by Sokwe » November 1st, 2024, 7:02 am

Here's an update on the Life-like p1 photon project. Here is the list of 150 unsolved rules:

Code: Select all

B2467/S1345
B2467/S13458

B24678/S134568
B2467/S134568
B247/S134568
B2478/S134568

B247/S13456
B2478/S13456
B248/S13456
B24/S13456

B2457/S1346
B2457/S13468

B2458/S13467

B246/S1578
B2468/S1578
B24678/S1578
B2467/S1578
B246/S157
B2468/S157
B24678/S157
B2467/S157
B246/S1567
B2468/S1567
B24678/S1567
B2467/S1567
B246/S15678
B2468/S15678
B24678/S15678
B2467/S15678

B24567/S0156
B24567/S01568

B257/S014568
B2578/S014568
B258/S014568
B25/S014568
B257/S01456
B2578/S01456
B258/S01456
B25/S01456

B257/S0147
B2578/S0147
B257/S01478
B2578/S01478
B257/S0148
B2578/S0148
B257/S014
B2578/S014

B246/S0134
B2467/S0134
B246/S01348
B2467/S01348
B246/S013478
B2467/S013478
B246/S01347
B2467/S01347

B248/S013467
B248/S013468
B248/S01346

B247/S0136
B2478/S0136
B248/S0136
B24/S0136
B247/S01368
B2478/S01368
B248/S01368
B24/S01368
B247/S013678
B2478/S013678
B248/S013678
B24/S013678
B247/S01367
B2478/S01367
B248/S01367
B24/S01367
B247/S0137
B2478/S0137
B248/S0137
B24/S0137
B247/S01378
B2478/S01378
B248/S01378
B24/S01378
B247/S0138
B2478/S0138
B248/S0138
B24/S0138
B247/S013
B2478/S013
B248/S013
B24/S013

B246/S0137
B2468/S0137
B246/S01378
B2468/S01378
B246/S0138
B2468/S0138
B246/S013
B2468/S013

B267/S0256
B2678/S0256
B268/S0256
B26/S0256
B267/S02568
B2678/S02568
B268/S02568
B26/S02568

B248/S0257
B24/S0257
B248/S02578
B24/S02578
B247/S0258
B2478/S0258
B248/S0258
B24/S0258
B247/S025
B2478/S025
B248/S025
B24/S025

B257/S0247
B2578/S0247
B258/S0247
B25/S0247
B257/S02478
B2578/S02478
B258/S02478
B25/S02478
B257/S0248
B2578/S0248
B258/S0248
B25/S0248
B257/S024
B2578/S024
B258/S024
B25/S024

B2568/S0235
B25678/S0235
B257/S0235
B2578/S0235
B2568/S02358
B25678/S02358
B257/S02358
B2578/S02358

B246/S0235
B2468/S0235
B246/S02358
B2468/S02358

B25678/S023567
B2567/S023567

B2456/S023568
B2456/S02356

and here is the rule map:

Code: Select all

             B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B B
             2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
                                             4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
                             5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
                     6 6 6 6 6 6 6 6                 6 6 6 6 6 6 6 6
                 7 7 7 7         7 7 7 7         7 7 7 7         7 7 7 7
               8 8     8 8     8 8     8 8     8 8     8 8     8 8     8 8
            ----------------------------------------------------------------
S          : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S        8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S       78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S       7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S      67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S      678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S      6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S      6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S     5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    45678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S    4     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   34567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   345    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3 56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3  6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3  6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3  678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3  67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3   7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3   78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3    8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S   3      : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23      : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23    8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23   78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23   7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23  67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23  678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23  6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23  6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23 5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2345678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  23456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  234     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 4567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2 45    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2  56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2   6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2   6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2   678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2   67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2    7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2    78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2     8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S  2       : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 12       :
S 12     8 :
S 12    78 :
S 12    7  :
S 12   67  :
S 12   678 :
S 12   6 8 :
S 12   6   :
S 12  56   :
S 12  56 8 :
S 12  5678 :
S 12  567  :
S 12  5 7  :
S 12  5 78 :
S 12  5  8 :
S 12  5    :
S 12 45    :
S 12 45  8 :
S 12 45 78 :
S 12 45 7  :
S 12 4567  :
S 12 45678 :
S 12 456 8 :
S 12 456   :
S 12 4 6   :
S 12 4 6 8 :
S 12 4 678 :
S 12 4 67  :
S 12 4  7  :
S 12 4  78 :
S 12 4   8 :
S 12 4     :
S 1234     :
S 1234   8 :
S 1234  78 :
S 1234  7  :
S 1234 67  :
S 1234 678 :
S 1234 6 8 :
S 1234 6   :
S 123456   :
S 123456 8 :
S 12345678 :
S 1234567  :
S 12345 7  :
S 12345 78 :
S 12345  8 :
S 12345    :
S 123 5    :
S 123 5  8 :
S 123 5 78 :
S 123 5 7  :
S 123 567  :
S 123 5678 :
S 123 56 8 :
S 123 56   :
S 123  6   :
S 123  6 8 :
S 123  678 :
S 123  67  :
S 123   7  :
S 123   78 :
S 123    8 :
S 123      :
S 1 3      :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3    8 :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3   78 :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3   7  :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3  67  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3  678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3  6 8 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3  6   :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 56   :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 56 8 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 567  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5 7  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5 78 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5  8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 3 5    :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1 345    :                                 1 1 1 1         1 1 1 . 1 1 1 1
S 1 345  8 :                                 1 1 1 1         1 1 1 . 1 1 1 1
S 1 345 78 :                                 1 1 1 1         1 1 1 1 1 1 1 1
S 1 345 7  :                                 1 1 1 1         1 1 1 1 1 1 1 1
S 1 34567  :
S 1 345678 :
S 1 3456 8 :                                                 1 1 . . . . 1 1
S 1 3456   :                                                 1 1     . . . .
S 1 34 6   :         1 1     1 1 1 1 1 1         1 .         1 1 1 1 1 1 1 1
S 1 34 6 8 :         1 1     1 1 1 1 1 1         1 .         1 1 1 1 1 1 1 1
S 1 34 678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1         1 1 1 1 1 1 1 1
S 1 34 67  :         1 1 1 1 1 1 1 1 1 1 1 1   . 1 1         1 1 1 1 1 1 1 1
S 1 34  7  :                     1 1         1 1 1 1         1 1 1 1 1 1 1 1
S 1 34  78 :                     1 1         1 1 1 1         1 1 1 1 1 1 1 1
S 1 34   8 :                     1 1         1 1 1 1         1 1 1 1 1 1 1 1
S 1 34     :                     1 1         1 1 1 1         1 1 1 1 1 1 1 1
S 1  4     :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4   8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4  78 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4  7  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4 67  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4 678 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4 6 8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4 6   :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  456   :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  456 8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45678 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  4567  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45 7  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45 78 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45  8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1  45    :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S 1   5    :                                 1 1 1 1 1 1 1 1
S 1   5  8 :                                 1 1 1 1 1 1 1 1
S 1   5 78 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S 1   5 7  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S 1   567  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S 1   5678 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S 1   56 8 :                                 1 1 1 1 1 1 1 1
S 1   56   :                                 1 1 1 1 1 1 1 1
S 1    6   :
S 1    6 8 :
S 1    678 :
S 1    67  :
S 1     7  :
S 1     78 :
S 1      8 :
S 1        :
S01        :
S01      8 :
S01     78 :
S01     7  :
S01    67  :
S01    678 :
S01    6 8 :
S01    6   :
S01   56   :                                 1 1 1 1 . 1 1 1
S01   56 8 :                                 1 1 1 1 . 1 1 1
S01   5678 :
S01   567  :
S01   5 7  :                 1 1     1 1     1 1 1 1 1 1 1 1
S01   5 78 :                 1 1     1 1     1 1 1 1 1 1 1 1
S01   5  8 :                                 1 1 1 1 1 1 1 1
S01   5    :                                 1 1 1 1 1 1 1 1
S01  45    :                 1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  45  8 :                 1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  45 78 :                 1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  45 7  :                 1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4567  :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  45678 :                                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  456 8 :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  456   :                 1 1     . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4 6   :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4 6 8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4 678 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4 67  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4  7  :                 1 1     . .     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4  78 :                 1 1     . .     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4   8 :                 1 1     . .     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01  4     :                 1 1     . .     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01 34     :                                                 . 1 1 . 1 1
S01 34   8 :                                                 . 1 1 . 1 1
S01 34  78 :                                                 . 1 1 . 1 1
S01 34  7  :                                                 . 1 1 . 1 1
S01 34 67  :                                                 1 1 1 1 1 1 .
S01 34 678 :                                                 1 1 1 1 1 1 1
S01 34 6 8 :                                                 1 1 1 1 1 1 .
S01 34 6   :                                                 1 1 1 1 1 1 .
S01 3456   :
S01 3456 8 :
S01 345678 :
S01 34567  :
S01 345 7  :
S01 345 78 :
S01 345  8 :
S01 345    :
S01 3 5    :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 5  8 :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 5 78 :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 5 7  :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 567  :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 5678 :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 56 8 :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3 56   :                 1 1 1 1 1 1 1 1                 1 1 1 1 1 1 1 1
S01 3  6   :                 1 1 1 1                         1 1 1 1 . . . .
S01 3  6 8 :                 1 1 1 1                         1 1 1 1 . . . .
S01 3  678 :                 1 1 1 1                         1 1 1 1 . 1 . .
S01 3  67  :                 1 1 1 1                         1 1 1 1 . . . .
S01 3   7  :                                                 . . 1 1 . . . .
S01 3   78 :                                                 . . 1 1 . . . .
S01 3    8 :                                                 . . 1 1 . . . .
S01 3      :                                                 . . 1 1 . . . .
S0123      :
S0123    8 :
S0123   78 :
S0123   7  :
S0123  67  :
S0123  678 :
S0123  6 8 :
S0123  6   :
S0123 56   :
S0123 56 8 :
S0123 5678 :
S0123 567  :
S0123 5 7  :
S0123 5 78 :
S0123 5  8 :
S0123 5    :
S012345    :
S012345  8 :
S012345 78 :
S012345 7  :
S01234567  :
S012345678 :
S0123456 8 :
S0123456   :
S01234 6   :
S01234 6 8 :
S01234 678 :
S01234 67  :
S01234  7  :
S01234  78 :
S01234   8 :
S01234     :
S012 4     :
S012 4   8 :
S012 4  78 :
S012 4  7  :
S012 4 67  :
S012 4 678 :
S012 4 6 8 :
S012 4 6   :
S012 456   :
S012 456 8 :
S012 45678 :
S012 4567  :
S012 45 7  :
S012 45 78 :
S012 45  8 :
S012 45    :
S012  5    :
S012  5  8 :
S012  5 78 :
S012  5 7  :
S012  567  :
S012  5678 :
S012  56 8 :
S012  56   :
S012   6   :
S012   6 8 :
S012   678 :
S012   67  :
S012    7  :
S012    78 :
S012     8 :
S012       :
S0 2       :                                 1 1 1 1 1 1 1 1
S0 2     8 :                                 1 1 1 1 1 1 1 1
S0 2    78 :                                 1 1 1 1 1 1 1 1
S0 2    7  :                                 1 1 1 1 1 1 1 1
S0 2   67  :                                 1 1 1 1 1 1 1 1
S0 2   678 :                                 1 1 1 1 1 1 1 1
S0 2   6 8 :                                 1 1 1 1 1 1 1 1
S0 2   6   :                                 1 1 1 1 1 1 1 1
S0 2  56   :         . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2  56 8 :         . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2  5678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2  567  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2  5 7  :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . .
S0 2  5 78 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . .
S0 2  5  8 :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S0 2  5    :                 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . .
S0 2 45    :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 45  8 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 45 78 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 45 7  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4567  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 45678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 456 8 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 456   :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4 6   :         1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4 6 8 :         1 1     1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4 678 :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4 67  :         1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4  7  :                 1 1 1 1 . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4  78 :                 1 1 1 1 . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4   8 :                 1 1 1 1 . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 2 4     :                 1 1 1 1 . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0 234     :
S0 234   8 :
S0 234  78 :
S0 234  7  :
S0 234 67  :
S0 234 678 :
S0 234 6 8 :
S0 234 6   :
S0 23456   :
S0 23456 8 :
S0 2345678 :
S0 234567  :
S0 2345 7  :
S0 2345 78 :
S0 2345  8 :
S0 2345    :
S0 23 5    :                   . .   . .       1 1 1 1 1 1   . . 1 1 1 1 1 1
S0 23 5  8 :                   . .   . .       1 1 1 1 1 1   . . 1 1 1 1 1 1
S0 23 5 78 :                 1 1 1 1 1 1 1     1 1 1 1 1 1   1 1 1 1 1 1 1 1
S0 23 5 7  :                 1 1 1 1 1 1 1     1 1 1 1 1 1   1 1 1 1 1 1 1 1
S0 23 567  :                     . . 1 1 1 1   1 1 1 1 1 1   1 1 1 1 1 1 1 1
S0 23 5678 :                     1 1 1 1 1 1   1 1 1 1 1 1   1 1 1 1 1 1 1 1
S0 23 56 8 :                   1 1 1 1 1       1 1 1 1 1 1 . 1 1 1 1 1 1 1 1
S0 23 56   :                   1 1 1 1 1       1 1 1 1 1 1 . 1 1 1 1 1 1 1 1
S0 23  6   :                                         1 1 1 1         1 1 1 1
S0 23  6 8 :                                         1 1 1 1         1 1 1 1
S0 23  678 :                                         1 1 1 1 1 1 1 1 1 1 1 1
S0 23  67  :                                         1 1 1 1 1 1 1 1 1 1 1 1
S0 23   7  :                                                         1 1 1 1
S0 23   78 :                                                         1 1 1 1
S0 23    8 :                                                         1 1 1 1
S0 23      :                                                         1 1 1 1
S0  3      : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3    8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3   78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3   7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3  67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3  678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3  6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3  6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3 5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  345    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  345  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  345 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  345 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  345678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  3456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0  34     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4     : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4   8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4  78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4  7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4 67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4 678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4 6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4 6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   456   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   456 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   45678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   4567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   45 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   45 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   45  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0   45    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    5  8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    567  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    56 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0    56   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0     6   : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0     6 8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0     678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0     67  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0      7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0      78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0       8 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S0         : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1

Changes since last update:

Keith Amling has eliminated some more rules with simple LLSSS searches here.

Amling has also eliminated some more rules using clever tricks with LLSSS. They are as follows:

viewtopic.php?p=196362#p196362:

Code: Select all

B25/S13457
B25/S134578

viewtopic.php?p=196399#p196399,
viewtopic.php?p=196452#p196452:

Code: Select all

B2578/S1345
B2578/S13458
B257/S13457
B2578/S13457
B258/S13457
B257/S134578
B2578/S134578
B258/S134578

viewtopic.php?p=196450#p196450:

Code: Select all

B2568/S1347
B2568/S13478
B2568/S1348
B2568/S134

I found two photons that cover the rules B246(8)/S02357 and B246/S02367:

Code: Select all

x = 258, y = 97, rule = B246/S02357
21b2o4b2o4b2o4b2o4b2o164b2o4b2o4b2o4b2o4b2o2$18b2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2o158b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$21b2o4b2o4b2o4b2o4b2o
164b2o4b2o4b2o4b2o4b2o$17bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo4b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o48b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$7b2o7bo34bo154bo34bo7b2o$14b3o34b3ob2ob
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o42b2ob2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob3o34b3o$5b3o8bo34bo3b2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o48b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o3bo34bo8b3o
$2b2ob3ob2o2bo2bo34bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo4b2o4b2o4b2o4b2o4b2o4b2o4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo34bo2bo2b2ob3ob2o$6b2ob2obo3bo34bo57bo38bo57bo
34bo3bob2ob2o$bo2b4o2b3o3bo34bo57b3ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
3o57bo34bo3b3o2b4o2bo$2bob2ob4obo3bo34bo57bo3b2o4b2o4b2o4b2o4b2o4b2o3b
o57bo34bo3bob4ob2obo$2b3obo2b2obo3bo34bo57bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo57bo34bo3bob2o2bob3o$2bob2obo3b2o3bo34bo57bo38bo57bo34bo
3b2o3bob2obo$2bob2ob2o3bo3bo34bo57bo38bo57bo34bo3bo3b2ob2obo$b2o2b2obo
bobo3bo29b2o3b2o56bo38bo56b2o3b2o29bo3bobobob2o2b2o$obobo2b4obo3bo34bo
bo55bo38bo55bobo34bo3bob4o2bobobo$2bobobo2bob2o3bo28bo2bo2bo57bo38bo
57bo2bo2bo28bo3b2obo2bobobo$4bobob2o2bo3bo18b2o7bo4bo59bo38bo59bo4bo7b
2o18bo3bo2b2obobo$6bobobobo2b2o25b3o4bo59bo38bo59bo4b3o25b2o2bobobobo$
8bo5bobo16b3o8bo4bo59bo38bo59bo4bo8b3o16bobo5bo$12bo3bo13b2ob3ob2o2bo
2bo4bo59bo38bo59bo4bo2bo2b2ob3ob2o13bo3bo$11bo2bobo17b2ob2obo3bo4bo59b
o38bo59bo4bo3bob2ob2o17bobo2bo$13b2obo12bo2b4o2b3o3bo3b2o3b2o54bo38bo
54b2o3b2o3bo3b3o2b4o2bo12bob2o$13bob2o2b2o9bob2ob4obo3bo2bobo59bo38bo
59bobo2bo3bob4ob2obo9b2o2b2obo$13bo2bo6b2o5b3obo2b2obo3bo4bo2bo2bo53bo
38bo53bo2bo2bo4bo3bob2o2bob3o5b2o6bo2bo$12b2obob3o10bob2obo3b2o3bo6bo
4bo2b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o6bo38bo6b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o2bo4bo6bo3b2o3bob2obo10b3obob2o$11bobobobobob3o6bob2ob2o3bo3bo6b2o
bo54bo38bo54bob2o6bo3bo3b2ob2obo6b3obobobobobo$13bo3bobob3ob2o2b2o2b2o
bobobo3bo6bob3obob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o3b2o
36b2o3b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob3obo6bo3bobob
ob2o2b2o2b2ob3obobo3bo$19bo2b2ob2obobobo2b4obo3bo6bo2b3o2b2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o6bobo34bobo6b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o2b3o2bo6b
o3bob4o2bobobob2ob2o2bo$24b2o4bobobo2bob2o3bo5b2obobo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo38bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bobob2o5bo3b2obo2bobobo4b2o$23bo2bo5bobob2o2bo
3bo4bobobo2bo50bo42bo50bo2bobobo4bo3bo2b2obobo5bo2bo$34bobobobo2b2o6bo
4bo50bo42bo50bo4bo6b2o2bobobobo$36bo5bobo11bo50bo42bo50bo11bobo5bo$40b
o3bo10b2o3b2o40b2o3b2o40b2o3b2o40b2o3b2o10bo3bo$39bo2bobo9bobo50bobo
38bobo50bobo9bobo2bo$41b2obo11bo2bo2bo38bo2bo2bo42bo2bo2bo38bo2bo2bo
11bob2o$41bob2o2b2o9bo4bo2b2o4b2o4b2o4b2o4b2o4b2o2bo4bo46bo4bo2b2o4b2o
4b2o4b2o4b2o4b2o2bo4bo9b2o2b2obo$41bo2bo6b2o5b2obo40bob2o46b2obo40bob
2o5b2o6bo2bo$40b2obob3o10bob3obob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob3o
bo46bob3obob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob3obo10b3obob2o$39bobobo
bobob3o6bo2b3o2b2o4b2o4b2o4b2o4b2o4b2o2b3o2bo46bo2b3o2b2o4b2o4b2o4b2o
4b2o4b2o2b3o2bo6b3obobobobobo$41bo3bobob3ob2o2b2obobo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bobob2o44b2obobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bobob2o2b2ob3obobo3bo$47bo2b2ob2obobobo2bo36bo2bobobo42bobobo2bo
36bo2bobobob2ob2o2bo$52b2o4bo4bo36bo4bo46bo4bo36bo4bo4b2o$51bo2bo8bo
14b2o4b2o14bo56bo14b2o4b2o14bo8bo2bo$63bo36bo56bo36bo$63b2o10b2ob2ob2o
b2ob2o10b2o56b2o10b2ob2ob2ob2ob2o10b2o$63bobo12b2o4b2o12bobo56bobo12b
2o4b2o12bobo$63bo4b2o4bo2bo2bo2bo2bo2bo4b2o4bo56bo4b2o4bo2bo2bo2bo2bo
2bo4b2o4bo$60b2o11bo16bo11b2o50b2o11bo16bo11b2o$63bob2ob2ob3o16b3ob2ob
2obo56bob2ob2ob3o16b3ob2ob2obo$59bo2b2o4b2o3bo16bo3b2o4b2o2bo48bo2b2o
4b2o3bo16bo3b2o4b2o2bo$55b2o3bobobo2bo2bo2bo16bo2bo2bo2bobobo3b2o40b2o
3bobobo2bo2bo2bo16bo2bo2bo2bobobo3b2o$60bobo10bo16bo10bobo50bobo10bo
16bo10bobo$54bo2bo2bo12bo16bo12bo2bo2bo38bo2bo2bo12bo16bo12bo2bo2bo$
41b2o10bo4bo6b2o6bo16bo6b2o6bo4bo10b2o12b2o10bo4bo6b2o6bo16bo6b2o6bo4b
o10b2o$51b3o4bo14bo16bo14bo4b3o32b3o4bo14bo16bo14bo4b3o$42b3o8bo3b2o3b
2ob2ob2o3b2o14b2o3b2ob2ob2o3b2o3bo8b3o14b3o8bo3b2o3b2ob2ob2o3b2o14b2o
3b2ob2ob2o3b2o3bo8b3o$39b2ob3ob2o2bo2bo2bobo6b2o6bobo12bobo6b2o6bobo2b
o2bo2b2ob3ob2o8b2ob3ob2o2bo2bo2bobo6b2o6bobo12bobo6b2o6bobo2bo2bo2b2ob
3ob2o$43b2ob2obo3bo4bo2bo2bo2bo2bo2bo16bo2bo2bo2bo2bo2bo4bo3bob2ob2o
16b2ob2obo3bo4bo2bo2bo2bo2bo2bo16bo2bo2bo2bo2bo2bo4bo3bob2ob2o$38bo2b
4o2b3o3bo6bo10bo20bo10bo6bo3b3o2b4o2bo6bo2b4o2b3o3bo6bo10bo20bo10bo6bo
3b3o2b4o2bo$39bob2ob4obo3bo6bo10bo20bo10bo6bo3bob4ob2obo8bob2ob4obo3bo
6bo10bo20bo10bo6bo3bob4ob2obo$39b3obo2b2obo3bo6bo9b2o20b2o9bo6bo3bob2o
2bob3o8b3obo2b2obo3bo6bo9b2o20b2o9bo6bo3bob2o2bob3o$39bob2obo3b2o3bo6b
o8bobo20bobo8bo6bo3b2o3bob2obo8bob2obo3b2o3bo6bo8bobo20bobo8bo6bo3b2o
3bob2obo$39bob2ob2o3bo3bo6bo10bo20bo10bo6bo3bo3b2ob2obo8bob2ob2o3bo3bo
6bo10bo20bo10bo6bo3bo3b2ob2obo$38b2o2b2obobobo3bo6bo12b2o14b2o12bo6bo
3bobobob2o2b2o6b2o2b2obobobo3bo6bo12b2o14b2o12bo6bo3bobobob2o2b2o$37bo
bobo2b4obo3bo6bo7b2obo9b2o9bob2o7bo6bo3bob4o2bobobo4bobobo2b4obo3bo6bo
7b2obo9b2o9bob2o7bo6bo3bob4o2bobobo$39bobobo2bob2o3bo6bo10b2o2bo12bo2b
2o10bo6bo3b2obo2bobobo8bobobo2bob2o3bo6bo10b2o2bo12bo2b2o10bo6bo3b2obo
2bobobo$41bobob2o2bo3bo6bo6bo2bobobo3b2ob2ob2o3bobobo2bo6bo6bo3bo2b2ob
obo12bobob2o2bo3bo6bo6bo2bobobo3b2ob2ob2o3bobobo2bo6bo6bo3bo2b2obobo$
43bobobobo2b2o6bo5bo5bobo6b2o6bobo5bo5bo6b2o2bobobobo16bobobobo2b2o6bo
5bo5bobo6b2o6bobo5bo5bo6b2o2bobobobo$45bo5bobo5b2o3b3o7bo2bo2bo2bo2bo
2bo7b3o3b2o5bobo5bo20bo5bobo5b2o3b3o7bo2bo2bo2bo2bo2bo7b3o3b2o5bobo5bo
$49bo3bo4bobo5bo9bo10bo9bo5bobo4bo3bo28bo3bo4bobo5bo9bo10bo9bo5bobo4bo
3bo$48bo2bobo6bo2bo2bo9bo10bo9bo2bo2bo6bobo2bo26bo2bobo6bo2bo2bo9bo10b
o9bo2bo2bo6bobo2bo$50b2obo8bo3bo9bo10bo9bo3bo8bob2o30b2obo8bo3bo9bo10b
o9bo3bo8bob2o$50bob2o2b2o4bo3bo9bo10bo9bo3bo4b2o2b2obo30bob2o2b2o4bo3b
o9bo10bo9bo3bo4b2o2b2obo$50bo2bo8bo3bo9bo10bo9bo3bo8bo2bo30bo2bo8bo3bo
9bo10bo9bo3bo8bo2bo$49b2obob3o5bo3bo9b2o8b2o9bo3bo5b3obob2o28b2obob3o
5bo3bo9b2o8b2o9bo3bo5b3obob2o$48bobobobobob2o2bo3b2o8bobo6bobo8b2o3bo
2b2obobobobobo26bobobobobob2o2bo3b2o8bobo6bobo8b2o3bo2b2obobobobobo$
50bo3bobob2ob2o2b5o6bo10bo6b5o2b2ob2obobo3bo30bo3bobob2ob2o2b5o6bo10bo
6b5o2b2ob2obobo3bo$56bo2b5obobo5b2o6b2o6b2o5bobob5o2bo42bo2b5obobo5b2o
6b2o6b2o5bobob5o2bo$60bobobobo2b3ob2o14b2ob3o2bobobobo50bobobobo2b3ob
2o14b2ob3o2bobobobo$61bo2bobo2b3ob2o3b2ob2ob2o3b2ob3o2bobo2bo52bo2bobo
2b3ob2o3b2ob2ob2o3b2ob3o2bobo2bo$61bo4bo2b2o2b2o6b2o6b2o2b2o2bo4bo52bo
4bo2b2o2b2o6b2o6b2o2b2o2bo4bo$61bo6b2obob2o2bo2bo2bo2bo2b2obob2o6bo52b
o6b2obob2o2bo2bo2bo2bo2b2obob2o6bo$61bo6bo2b3o2bo10bo2b3o2bo6bo52bo6bo
2b3o2bo10bo2b3o2bo6bo$61bo6bobobo3bo10bo3bobobo6bo52bo6bobobo3bo10bo3b
obobo6bo$60b2o6bob2o4bo10bo4b2obo6b2o50b2o6bob2o4bo10bo4b2obo6b2o$59bo
bo3b2o3bo2bo2bo10bo2bo2bo3b2o3bobo48bobo3b2o3bo2bo2bo10bo2bo2bo3b2o3bo
bo$61bo6bobob2ob2o10b2ob2obobo6bo52bo6bobob2ob2o10b2ob2obobo6bo$63b3o
2b3obobobo10bobobob3o2b3o56b3o2b3obobobo10bobobob3o2b3o$63bob3obob3ob
3o3b2o3b3ob3obob3obo56bob3obob3ob3o3b2o3b3ob3obob3obo$63bob2ob2o2b2ob
2obo6bob2ob2o2b2ob2obo56bob2ob2o2b2ob2obo6bob2ob2o2b2ob2obo$63bo2bo2bo
bob2o3bobo2bobo3b2obobo2bo2bo56bo2bo2bobob2o3bobo2bobo3b2obobo2bo2bo$
62b2obobobobo2b3obob4obob3o2bobobobob2o54b2obobobobo2b3obob4obob3o2bob
obobob2o$61bobobobobo5b2ob2ob2ob2ob2o5bobobobobo52bobobobobo5b2ob2ob2o
b2ob2o5bobobobobo$63bo3bo9b3o4b3o9bo3bo56bo3bo9b3o4b3o9bo3bo$76bo3bo2b
o3bo82bo3bo2bo3bo!

Code: Select all

x = 184, y = 82, rule = B246/S02367
156bo$16bo138bo$14bo2b141o5bo$14bo3bo143bo$16b3o139b7o$13b2ob3o47bo90b
obo21bo$13b5o2bo44bo89bo4bob2o9bo6bo$8bo3b5o4b47o39bo47bo3b3o9bo2b9o$
7bo4bob2o90bo50bo4b3o6bo4bo$5bo3b3obobob4o47b41o10bo33bob2o2bobo5bo5b
3o2b2ob3o$5bo4bobob2o2bo48bo50bo34bob2o3b3obobo7bobob3o$4b5o2b6o2bo45b
o43b12o5bo30bob5o4b5o2b5ob2o$2bo7b7o48bo42bo16bo29bo4b2ob4obo5b5o$2bo
2b2obobobo2b2o50bo38bo14b7o27bo3bobo6b3obobobo2b5o$4bo4bobobob2o46bob
2o39bo13bobo21bo9b7ob3obo6bobo2bo2bo$7bob8o24bo21bob2o41bo9bo4bob2o9bo
6bo9bo7bo5bo3bob3o6bo$7bo2b7o23bo26bo36bob2o10bo3b3o9bo2b9o5bo9b2obo6b
o2b2o$10b2obo2b27o5bo16bo38bob2o12bo4b3o6bo4bo11bo10b2o10b2o$13bo33bo
17bo8bo33bo7bob2o2bobo5bo5b3o2b2ob3o6bo6b4o12bo$9b7o27b7o17bo5bo32bo9b
ob2o3b3obobo7bobob3o5bob2o7b4o8bobo$8bobo21bo9bobo23b8o5bo24bo13bob5o
4b5o2b5ob2o3bob2o9b2o8bobo$6bo4bob2o9bo6bo8bo4bob2o9bo21bo27bo9bo4b2ob
4obo5b5o11bo7b3o12bo$6bo3b3o9bo2b9o6bo3b3o9bo2b9o8b7o21bob2o10bo3bobo
6b3obobobo2b5o4bo7bo2b2o10b2o$8bo4b3o6bo4bo14bo4b3o6bo4bo13bobo21bo4bo
b2o9b7ob3obo6bobo2bo2bo6bo7bo2b2o10b2o$4bob2o2bobo5bo5b3o2b2ob3o3bob2o
2bobo5bo5b3o2b2ob3o4bo4bob2o9bo6bo9bo7bo7bo5bo3bob3o6bo7bo7b3o12bo$4bo
b2o3b3obobo7bobob3o6bob2o3b3obobo7bobob3o7bo3b3o9bo2b9o5bo7bo9b2obo6bo
2b2o10bob2o9b2o8bobo$8bob5o4b5o2b5ob2o8bob5o4b5o2b5ob2o7bo4b3o6bo4bo
11bo7bo10b2o10b2o10bob2o9b2o8bobo$6bo4b2ob4obo5b5o10bo4b2ob4obo5b5o7bo
b2o2bobo5bo5b3o2b2ob3o6bo7bo6b4o12bo13bo10bo11bo$6bo3bobo6b3obobobo2b
5o5bo3bobo6b3obobobo2b5o2bob2o3b3obobo7bobob3o5bob2o4bob2o7b4o8bobo13b
o8bobo11b2o$5b7ob3obo6bobo2bo2bo6b7ob3obo6bobo2bo2bo8bob5o4b5o2b5ob2o
3bob2o4bob2o9b2o8bobo13bo8bobo11b2o$4bo7bo5bo3bob3o6bo4bo7bo5bo3bob3o
6bo5bo4b2ob4obo5b5o11bo7bo7b3o12bo13bo10bo11bo$2bo9b2obo6bo2b2o9bo9b2o
bo6bo2b2o12bo3bobo6b3obobobo2b5o4bo7bo7bo2b2o10b2o10bob2o9b2o8bobo$2bo
10b2o10b2o9bo10b2o10b2o11b7ob3obo6bobo2bo2bo6bo7bo7bo2b2o10b2o10bob2o
9b2o8bobo$4bo6b4o12bo10bo6b4o12bo9bo7bo5bo3bob3o6bo7bo7bo7b3o12bo13bo
10bo11bo$ob2o7b4o8bobo8bob2o7b4o8bobo9bo9b2obo6bo2b2o10bob2o4bob2o9b2o
8bobo13bo8bobo11b2o$ob2o9b2o8bobo8bob2o9b2o8bobo9bo10b2o10b2o10bob2o4b
ob2o9b2o8bobo13bo8bobo11b2o$4bo7b3o12bo10bo7b3o12bo9bo6b4o12bo13bo7bo
10bo11bo13bo10bo11bo$2bo7bo2b2o10b2o9bo7bo2b2o10b2o6bob2o7b4o8bobo13bo
7bo8bobo11b2o10bob2o9b2o8bobo$2bo7bo2b2o10b2o9bo7bo2b2o10b2o6bob2o9b2o
8bobo13bo7bo8bobo11b2o10bob2o9b2o8bobo$4bo7b3o12bo10bo7b3o12bo9bo7b3o
12bo13bo7bo10bo11bo13bo10bo11bo$ob2o9b2o8bobo8bob2o9b2o8bobo9bo7bo2b2o
10b2o10bob2o4bob2o9b2o8bobo13bo8bobo11b2o$ob2o9b2o8bobo8bob2o9b2o8bobo
9bo7bo2b2o10b2o10bob2o4bob2o9b2o8bobo13bo8bobo11b2o$4bo7b3o12bo10bo7b
3o12bo9bo7b3o12bo13bo7bo10bo11bo13bo10bo11bo$2bo7bo2b2o10b2o9bo7bo2b2o
10b2o6bob2o9b2o8bobo13bo7bo8bobo11b2o10bob2o9b2o8bobo$2bo7bo2b2o10b2o
9bo7bo2b2o10b2o6bob2o7b4o8bobo13bo7bo8bobo11b2o10bob2o9b2o8bobo$4bo7b
3o12bo10bo7b3o12bo9bo6b4o12bo13bo7bo10bo11bo13bo10bo11bo$ob2o9b2o8bobo
8bob2o9b2o8bobo9bo10b2o10b2o10bob2o4bob2o9b2o8bobo13bo8bobo11b2o$ob2o
7b4o8bobo8bob2o7b4o8bobo9bo9b2obo6bo2b2o10bob2o4bob2o9b2o8bobo13bo8bob
o11b2o$4bo6b4o12bo10bo6b4o12bo9bo7bo5bo3bob3o6bo7bo7bo7b3o12bo13bo10bo
11bo$2bo10b2o10b2o9bo10b2o10b2o11b7ob3obo6bobo2bo2bo6bo7bo7bo2b2o10b2o
10bob2o9b2o8bobo$2bo9b2obo6bo2b2o9bo9b2obo6bo2b2o12bo3bobo6b3obobobo2b
5o4bo7bo7bo2b2o10b2o10bob2o9b2o8bobo$4bo7bo5bo3bob3o6bo4bo7bo5bo3bob3o
6bo5bo4b2ob4obo5b5o11bo7bo7b3o12bo13bo10bo11bo$5b7ob3obo6bobo2bo2bo6b
7ob3obo6bobo2bo2bo8bob5o4b5o2b5ob2o3bob2o4bob2o9b2o8bobo13bo8bobo11b2o
$6bo3bobo6b3obobobo2b5o5bo3bobo6b3obobobo2b5o2bob2o3b3obobo7bobob3o5bo
b2o4bob2o7b4o8bobo13bo8bobo11b2o$6bo4b2ob4obo5b5o10bo4b2ob4obo5b5o7bob
2o2bobo5bo5b3o2b2ob3o6bo7bo6b4o12bo13bo10bo11bo$8bob5o4b5o2b5ob2o8bob
5o4b5o2b5ob2o7bo4b3o6bo4bo11bo7bo10b2o10b2o10bob2o9b2o8bobo$4bob2o3b3o
bobo7bobob3o6bob2o3b3obobo7bobob3o7bo3b3o9bo2b9o5bo7bo9b2obo6bo2b2o10b
ob2o9b2o8bobo$4bob2o2bobo5bo5b3o2b2ob3o3bob2o2bobo5bo5b3o2b2ob3o4bo4bo
b2o9bo6bo9bo7bo7bo5bo3bob3o6bo7bo7b3o12bo$8bo4b3o6bo4bo14bo4b3o6bo4bo
13bobo21bo4bob2o9b7ob3obo6bobo2bo2bo6bo7bo2b2o10b2o$6bo3b3o9bo2b9o6bo
3b3o9bo2b9o8b7o21bob2o10bo3bobo6b3obobobo2b5o4bo7bo2b2o10b2o$6bo4bob2o
9bo6bo8bo4bob2o9bo21bo27bo9bo4b2ob4obo5b5o11bo7b3o12bo$8bobo21bo9bobo
23b8o5bo24bo13bob5o4b5o2b5ob2o3bob2o9b2o8bobo$9b7o27b7o17bo5bo32bo9bob
2o3b3obobo7bobob3o5bob2o7b4o8bobo$13bo33bo17bo8bo33bo7bob2o2bobo5bo5b
3o2b2ob3o6bo6b4o12bo$10b2obo2b27o5bo16bo38bob2o12bo4b3o6bo4bo11bo10b2o
10b2o$7bo2b7o23bo26bo36bob2o10bo3b3o9bo2b9o5bo9b2obo6bo2b2o$7bob8o24bo
21bob2o41bo9bo4bob2o9bo6bo9bo7bo5bo3bob3o6bo$4bo4bobobob2o46bob2o39bo
13bobo21bo9b7ob3obo6bobo2bo2bo$2bo2b2obobobo2b2o50bo38bo14b7o27bo3bobo
6b3obobobo2b5o$2bo7b7o48bo42bo16bo29bo4b2ob4obo5b5o$4b5o2b6o2bo45bo43b
12o5bo30bob5o4b5o2b5ob2o$5bo4bobob2o2bo48bo50bo34bob2o3b3obobo7bobob3o
$5bo3b3obobob4o47b41o10bo33bob2o2bobo5bo5b3o2b2ob3o$7bo4bob2o90bo50bo
4b3o6bo4bo$8bo3b5o4b47o39bo47bo3b3o9bo2b9o$13b5o2bo44bo89bo4bob2o9bo6b
o$13b2ob3o47bo90bobo21bo$16b3o139b7o$14bo3bo143bo$14bo2b141o5bo$16bo
138bo$156bo!

I also reduced some p1 photons, which I posted here and here.

Here are the database entries for the new p1 photons:

Code: Select all

:Matthias Merzenich, 2024:B246/S2357:B2468/S023578:1:0:1:258:97:21b2o4b2o4b2o4b2o4b2o164b2o4b2o4b2o4b2o4b2o2$18b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o158b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$21b2o4b2o4b2o4b2o4b2o164b2o4b2o4b2o4b2o4b2o$17bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o48b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$7b2o7bo34bo154bo34bo7b2o$14b3o34b3ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o42b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob3o34b3o$5b3o8bo34bo3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o48b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o3bo34bo8b3o$2b2ob3ob2o2bo2bo34bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo4b2o4b2o4b2o4b2o4b2o4b2o4bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo34bo2bo2b2ob3ob2o$6b2ob2obo3bo34bo57bo38bo57bo34bo3bob2ob2o$bo2b4o2b3o3bo34bo57b3ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob3o57bo34bo3b3o2b4o2bo$2bob2ob4obo3bo34bo57bo3b2o4b2o4b2o4b2o4b2o4b2o3bo57bo34bo3bob4ob2obo$2b3obo2b2obo3bo34bo57bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo57bo34bo3bob2o2bob3o$2bob2obo3b2o3bo34bo57bo38bo57bo34bo3b2o3bob2obo$2bob2ob2o3bo3bo34bo57bo38bo57bo34bo3bo3b2ob2obo$b2o2b2obobobo3bo29b2o3b2o56bo38bo56b2o3b2o29bo3bobobob2o2b2o$obobo2b4obo3bo34bobo55bo38bo55bobo34bo3bob4o2bobobo$2bobobo2bob2o3bo28bo2bo2bo57bo38bo57bo2bo2bo28bo3b2obo2bobobo$4bobob2o2bo3bo18b2o7bo4bo59bo38bo59bo4bo7b2o18bo3bo2b2obobo$6bobobobo2b2o25b3o4bo59bo38bo59bo4b3o25b2o2bobobobo$8bo5bobo16b3o8bo4bo59bo38bo59bo4bo8b3o16bobo5bo$12bo3bo13b2ob3ob2o2bo2bo4bo59bo38bo59bo4bo2bo2b2ob3ob2o13bo3bo$11bo2bobo17b2ob2obo3bo4bo59bo38bo59bo4bo3bob2ob2o17bobo2bo$13b2obo12bo2b4o2b3o3bo3b2o3b2o54bo38bo54b2o3b2o3bo3b3o2b4o2bo12bob2o$13bob2o2b2o9bob2ob4obo3bo2bobo59bo38bo59bobo2bo3bob4ob2obo9b2o2b2obo$13bo2bo6b2o5b3obo2b2obo3bo4bo2bo2bo53bo38bo53bo2bo2bo4bo3bob2o2bob3o5b2o6bo2bo$12b2obob3o10bob2obo3b2o3bo6bo4bo2b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o6bo38bo6b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o2bo4bo6bo3b2o3bob2obo10b3obob2o$11bobobobobob3o6bob2ob2o3bo3bo6b2obo54bo38bo54bob2o6bo3bo3b2ob2obo6b3obobobobobo$13bo3bobob3ob2o2b2o2b2obobobo3bo6bob3obob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o3b2o36b2o3b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob3obo6bo3bobobob2o2b2o2b2ob3obobo3bo$19bo2b2ob2obobobo2b4obo3bo6bo2b3o2b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o6bobo34bobo6b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o2b3o2bo6bo3bob4o2bobobob2ob2o2bo$24b2o4bobobo2bob2o3bo5b2obobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo38bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobob2o5bo3b2obo2bobobo4b2o$23bo2bo5bobob2o2bo3bo4bobobo2bo50bo42bo50bo2bobobo4bo3bo2b2obobo5bo2bo$34bobobobo2b2o6bo4bo50bo42bo50bo4bo6b2o2bobobobo$36bo5bobo11bo50bo42bo50bo11bobo5bo$40bo3bo10b2o3b2o40b2o3b2o40b2o3b2o40b2o3b2o10bo3bo$39bo2bobo9bobo50bobo38bobo50bobo9bobo2bo$41b2obo11bo2bo2bo38bo2bo2bo42bo2bo2bo38bo2bo2bo11bob2o$41bob2o2b2o9bo4bo2b2o4b2o4b2o4b2o4b2o4b2o2bo4bo46bo4bo2b2o4b2o4b2o4b2o4b2o4b2o2bo4bo9b2o2b2obo$41bo2bo6b2o5b2obo40bob2o46b2obo40bob2o5b2o6bo2bo$40b2obob3o10bob3obob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob3obo46bob3obob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2obob3obo10b3obob2o$39bobobobobob3o6bo2b3o2b2o4b2o4b2o4b2o4b2o4b2o2b3o2bo46bo2b3o2b2o4b2o4b2o4b2o4b2o4b2o2b3o2bo6b3obobobobobo$41bo3bobob3ob2o2b2obobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobob2o44b2obobo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bobob2o2b2ob3obobo3bo$47bo2b2ob2obobobo2bo36bo2bobobo42bobobo2bo36bo2bobobob2ob2o2bo$52b2o4bo4bo36bo4bo46bo4bo36bo4bo4b2o$51bo2bo8bo14b2o4b2o14bo56bo14b2o4b2o14bo8bo2bo$63bo36bo56bo36bo$63b2o10b2ob2ob2ob2ob2o10b2o56b2o10b2ob2ob2ob2ob2o10b2o$63bobo12b2o4b2o12bobo56bobo12b2o4b2o12bobo$63bo4b2o4bo2bo2bo2bo2bo2bo4b2o4bo56bo4b2o4bo2bo2bo2bo2bo2bo4b2o4bo$60b2o11bo16bo11b2o50b2o11bo16bo11b2o$63bob2ob2ob3o16b3ob2ob2obo56bob2ob2ob3o16b3ob2ob2obo$59bo2b2o4b2o3bo16bo3b2o4b2o2bo48bo2b2o4b2o3bo16bo3b2o4b2o2bo$55b2o3bobobo2bo2bo2bo16bo2bo2bo2bobobo3b2o40b2o3bobobo2bo2bo2bo16bo2bo2bo2bobobo3b2o$60bobo10bo16bo10bobo50bobo10bo16bo10bobo$54bo2bo2bo12bo16bo12bo2bo2bo38bo2bo2bo12bo16bo12bo2bo2bo$41b2o10bo4bo6b2o6bo16bo6b2o6bo4bo10b2o12b2o10bo4bo6b2o6bo16bo6b2o6bo4bo10b2o$51b3o4bo14bo16bo14bo4b3o32b3o4bo14bo16bo14bo4b3o$42b3o8bo3b2o3b2ob2ob2o3b2o14b2o3b2ob2ob2o3b2o3bo8b3o14b3o8bo3b2o3b2ob2ob2o3b2o14b2o3b2ob2ob2o3b2o3bo8b3o$39b2ob3ob2o2bo2bo2bobo6b2o6bobo12bobo6b2o6bobo2bo2bo2b2ob3ob2o8b2ob3ob2o2bo2bo2bobo6b2o6bobo12bobo6b2o6bobo2bo2bo2b2ob3ob2o$43b2ob2obo3bo4bo2bo2bo2bo2bo2bo16bo2bo2bo2bo2bo2bo4bo3bob2ob2o16b2ob2obo3bo4bo2bo2bo2bo2bo2bo16bo2bo2bo2bo2bo2bo4bo3bob2ob2o$38bo2b4o2b3o3bo6bo10bo20bo10bo6bo3b3o2b4o2bo6bo2b4o2b3o3bo6bo10bo20bo10bo6bo3b3o2b4o2bo$39bob2ob4obo3bo6bo10bo20bo10bo6bo3bob4ob2obo8bob2ob4obo3bo6bo10bo20bo10bo6bo3bob4ob2obo$39b3obo2b2obo3bo6bo9b2o20b2o9bo6bo3bob2o2bob3o8b3obo2b2obo3bo6bo9b2o20b2o9bo6bo3bob2o2bob3o$39bob2obo3b2o3bo6bo8bobo20bobo8bo6bo3b2o3bob2obo8bob2obo3b2o3bo6bo8bobo20bobo8bo6bo3b2o3bob2obo$39bob2ob2o3bo3bo6bo10bo20bo10bo6bo3bo3b2ob2obo8bob2ob2o3bo3bo6bo10bo20bo10bo6bo3bo3b2ob2obo$38b2o2b2obobobo3bo6bo12b2o14b2o12bo6bo3bobobob2o2b2o6b2o2b2obob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:Matthias Merzenich, 2024:B246/S2367:B2468/S023678:1:-1:0:184:82:156bo$16bo138bo$14bo2b141o5bo$14bo3bo143bo$16b3o139b7o$13b2ob3o47bo90bobo21bo$13b5o2bo44bo89bo4bob2o9bo6bo$8bo3b5o4b47o39bo47bo3b3o9bo2b9o$7bo4bob2o90bo50bo4b3o6bo4bo$5bo3b3obobob4o47b41o10bo33bob2o2bobo5bo5b3o2b2ob3o$5bo4bobob2o2bo48bo50bo34bob2o3b3obobo7bobob3o$4b5o2b6o2bo45bo43b12o5bo30bob5o4b5o2b5ob2o$2bo7b7o48bo42bo16bo29bo4b2ob4obo5b5o$2bo2b2obobobo2b2o50bo38bo14b7o27bo3bobo6b3obobobo2b5o$4bo4bobobob2o46bob2o39bo13bobo21bo9b7ob3obo6bobo2bo2bo$7bob8o24bo21bob2o41bo9bo4bob2o9bo6bo9bo7bo5bo3bob3o6bo$7bo2b7o23bo26bo36bob2o10bo3b3o9bo2b9o5bo9b2obo6bo2b2o$10b2obo2b27o5bo16bo38bob2o12bo4b3o6bo4bo11bo10b2o10b2o$13bo33bo17bo8bo33bo7bob2o2bobo5bo5b3o2b2ob3o6bo6b4o12bo$9b7o27b7o17bo5bo32bo9bob2o3b3obobo7bobob3o5bob2o7b4o8bobo$8bobo21bo9bobo23b8o5bo24bo13bob5o4b5o2b5ob2o3bob2o9b2o8bobo$6bo4bob2o9bo6bo8bo4bob2o9bo21bo27bo9bo4b2ob4obo5b5o11bo7b3o12bo$6bo3b3o9bo2b9o6bo3b3o9bo2b9o8b7o21bob2o10bo3bobo6b3obobobo2b5o4bo7bo2b2o10b2o$8bo4b3o6bo4bo14bo4b3o6bo4bo13bobo21bo4bob2o9b7ob3obo6bobo2bo2bo6bo7bo2b2o10b2o$4bob2o2bobo5bo5b3o2b2ob3o3bob2o2bobo5bo5b3o2b2ob3o4bo4bob2o9bo6bo9bo7bo7bo5bo3bob3o6bo7bo7b3o12bo$4bob2o3b3obobo7bobob3o6bob2o3b3obobo7bobob3o7bo3b3o9bo2b9o5bo7bo9b2obo6bo2b2o10bob2o9b2o8bobo$8bob5o4b5o2b5ob2o8bob5o4b5o2b5ob2o7bo4b3o6bo4bo11bo7bo10b2o10b2o10bob2o9b2o8bobo$6bo4b2ob4obo5b5o10bo4b2ob4obo5b5o7bob2o2bobo5bo5b3o2b2ob3o6bo7bo6b4o12bo13bo10bo11bo$6bo3bobo6b3obobobo2b5o5bo3bobo6b3obobobo2b5o2bob2o3b3obobo7bobob3o5bob2o4bob2o7b4o8bobo13bo8bobo11b2o$5b7ob3obo6bobo2bo2bo6b7ob3obo6bobo2bo2bo8bob5o4b5o2b5ob2o3bob2o4bob2o9b2o8bobo13bo8bobo11b2o$4bo7bo5bo3bob3o6bo4bo7bo5bo3bob3o6bo5bo4b2ob4obo5b5o11bo7bo7b3o12bo13bo10bo11bo$2bo9b2obo6bo2b2o9bo9b2obo6bo2b2o12bo3bobo6b3obobobo2b5o4bo7bo7bo2b2o10b2o10bob2o9b2o8bobo$2bo10b2o10b2o9bo10b2o10b2o11b7ob3obo6bobo2bo2bo6bo7bo7bo2b2o10b2o10bob2o9b2o8bobo$4bo6b4o12bo10bo6b4o12bo9bo7bo5bo3bob3o6bo7bo7bo7b3o12bo13bo10bo11bo$ob2o7b4o8bobo8bob2o7b4o8bobo9bo9b2obo6bo2b2o10bob2o4bob2o9b2o8bobo13bo8bobo11b2o$ob2o9b2o8bobo8bob2o9b2o8bobo9bo10b2o10b2o10bob2o4bob2o9b2o8bobo13bo8bobo11b2o$4bo7b3o12bo10bo7b3o12bo9bo6b4o12bo13bo7bo10bo11bo13bo10bo11bo$2bo7bo2b2o10b2o9bo7bo2b2o10b2o6bob2o7b4o8bobo13bo7bo8bobo11b2o10bob2o9b2o8bobo$2bo7bo2b2o10b2o9bo7bo2b2o10b2o6bob2o9b2o8bobo13bo7bo8bobo11b2o10bob2o9b2o8bobo$4bo7b3o12bo10bo7b3o12bo9bo7b3o12bo13bo7bo10bo11bo13bo10bo11bo$ob2o9b2o8bobo8bob2o9b2o8bobo9bo7bo2b2o10b2o10bob2o4bob2o9b2o8bobo13bo8bobo11b2o$ob2o9b2o8bobo8bob2o9b2o8bobo9bo7bo2b2o10b2o10bob2o4bob2o9b2o8bobo13bo8bobo11b2o$4bo7b3o12bo10bo7b3o12bo9bo7b3o12bo13bo7bo10bo11bo13bo10bo11bo$2bo7bo2b2o10b2o9bo7bo2b2o10b2o6bob2o9b2o8bobo13bo7bo8bobo11b2o10bob2o9b2o8bobo$2bo7bo2b2o10b2o9bo7bo2b2o10b2o6bob2o7b4o8bobo13bo7bo8bobo11b2o10bob2o9b2o8bobo$4bo7b3o12bo10bo7b3o12bo9bo6b4o12bo13bo7bo10bo11bo13bo10bo11bo$ob2o9b2o8bobo8bob2o9b2o8bobo9bo10b2o10b2o10bob2o4bob2o9b2o8bobo13bo8bobo11b2o$ob2o7b4o8bobo8bob2o7b4o8bobo9bo9b2obo6bo2b2o10bob2o4bob2o9b2o8bobo13bo8bobo11b2o$4bo6b4o12bo10bo6b4o12bo9bo7bo5bo3bob3o6bo7bo7bo7b3o12bo13bo10bo11bo$2bo10b2o10b2o9bo10b2o10b2o11b7ob3obo6bobo2bo2bo6bo7bo7bo2b2o10b2o10bob2o9b2o8bobo$2bo9b2obo6bo2b2o9bo9b2obo6bo2b2o12bo3bobo6b3obobobo2b5o4bo7bo7bo2b2o10b2o10bob2o9b2o8bobo$4bo7bo5bo3bob3o6bo4bo7bo5bo3bob3o6bo5bo4b2ob4obo5b5o11bo7bo7b3o12bo13bo10bo11bo$5b7ob3obo6bobo2bo2bo6b7ob3obo6bobo2bo2bo8bob5o4b5o2b5ob2o3bob2o4bob2o9b2o8bobo13bo8bobo11b2o$6bo3bobo6b3obobobo2b5o5bo3bobo6b3obobobo2b5o2bob2o3b3obobo7bobob3o5bob2o4bob2o7b4o8bobo13bo8bobo11b2o$6bo4b2ob4obo5b5o10bo4b2ob4obo5b5o7bob2o2bobo5bo5b3o2b2ob3o6bo7bo6b4o12bo13bo10bo11bo$8bob5o4b5o2b5ob2o8bob5o4b5o2b5ob2o7bo4b3o6bo4bo11bo7bo10b2o10b2o10bob2o9b2o8bobo$4bob2o3b3obobo7bobob3o6bob2o3b3obobo7bobob3o7bo3b3o9bo2b9o5bo7bo9b2obo6bo2b2o10bob2o9b2o8bobo$4bob2o2bobo5bo5b3o2b2ob3o3bob2o2bobo5bo5b3o2b2ob3o4bo4bob2o9bo6bo9bo7bo7bo5bo3bob3o6bo7bo7b3o12bo$8bo4b3o6bo4bo14bo4b3o6bo4bo13bobo21bo4bob2o9b7ob3obo6bobo2bo2bo6bo7bo2b2o10b2o$6bo3b3o9bo2b9o6bo3b3o9bo2b9o8b7o21bob2o10bo3bobo6b3obobobo2b5o4bo7bo2b2o10b2o$6bo4bob2o9bo6bo8bo4bob2o9bo21bo27bo9bo4b2ob4obo5b5o11bo7b3o12bo$8bobo21bo9bobo23b8o5bo24bo13bob5o4b5o2b5ob2o3bob2o9b2o8bobo$9b7o27b7o17bo5bo32bo9bob2o3b3obobo7bobob3o5bob2o7b4o8bobo$13bo33bo17bo8bo33bo7bob2o2bobo5bo5b3o2b2ob3o6bo6b4o12bo$10b2obo2b27o5bo16bo38bob2o12bo4b3o6bo4bo11bo10b2o10b2o$7bo2b7o23bo26bo36bob2o10bo3b3o9bo2b9o5bo9b2obo6bo2b2o$7bob8o24bo21bob2o41bo9bo4bob2o9bo6bo9bo7bo5bo3bob3o6bo$4bo4bobobob2o46bob2o39bo13bobo21bo9b7ob3obo6bobo2bo2bo$2bo2b2obobobo2b2o50bo38bo14b7o27bo3bobo6b3obobobo2b5o$2bo7b7o48bo42bo16bo29bo4b2ob4obo5b5o$4b5o2b6o2bo45bo43b12o5bo30bob5o4b5o2b5ob2o$5bo4bobob2o2bo48bo50bo34bob2o3b3obobo7bobob3o$5bo3b3obobob4o47b41o10bo33bob2o2bobo5bo5b3o2b2ob3o$7bo4bob2o90bo50bo4b3o6bo4bo$8bo3b5o4b47o39bo47bo3b3o9bo2b9o$13b5o2bo44bo89bo4bob2o9bo6bo$13b2ob3o47bo90bobo21bo$16b3o139b7o$14bo3bo143bo$14bo2b141o5bo$16bo138bo$156bo!
:Matthias Merzenich, 2024:B26/S2567:B2678/S025678:1:-1:0:48:89:38bo$37bo$36bob2o4bo$36b5o2bo$38bobobob2o$34bob2o2b7o$33bo3b9o$32bob7o$32b6o5b2o$12bo21bo5b2o2b2o$10bo2b21o3b2o2b4o$6bo3bo23b2o2b6o$5bo6b2o18b9o$4bob2o5b2o17bob5o4b2o$4b10o19bo6b2o2b2o$6b7o4bo16bob2o3b4o$5b2o9bo20b7o$3bo6b2o3bob24o$bo2b2o3bo5b22o6b2o$bo7b2o6bo22bobo$3b2o6b5obo17bo3bo4b2o$4b14o16bo4b2o4b2o$2b9o3b4o15bob2o4b5o$2bob2o7b2o2bo10bo4b12o$3bo5b3o3bobo9bo7b7o$4bo3bo4b6o7bob6obo8b2o$7bob2o3b4o8b10o5bobo$7b8o13bo3b4o4bo4b2o$9b5o4b10o3b2o2bo3bobo4b2o$8b2o7bo10b2o4b2o3b8o$6bo6bobo10b6o4bo4b5o$4bo2b2o3bo3b3o7bob12obobo$4bo7b2o9bo3bo2bob10o2bo$6b2o6b4o4bo5b2o2bo7bo$7b12o2bob2o5b3o3bob2o$5b11obo3b12o2bo3bo$5bob2o8bo5b8obobob4o$6bo8b8o9b8o$7bo7bob6o2b2o3b8obo$16bo6bo2b2o2bob2o5bobo$17bo3b6o4bo5b6o$21bob3o6bo4bob3o$22bo15bo$23b2o14b2o2$22b2o14b2o$21bo15bo$20bob3o6bo4bob3o$16bo3b6o4bo5b6o$15bo6bo2b2o2bob2o5bobo$6bo7bob6o2b2o3b8obo$5bo8b8o9b8o$4bob2o8bo5b8obobob4o$4b11obo3b12o2bo3bo$6b12o2bob2o5b3o3bob2o$5b2o6b4o4bo5b2o2bo7bo$3bo7b2o9bo3bo2bob10o2bo$3bo2b2o3bo3b3o7bob12obobo$5bo6bobo10b6o4bo4b5o$7b2o7bo10b2o4b2o3b8o$8b5o4b10o3b2o2bo3bobo4b2o$6b8o13bo3b4o4bo4b2o$6bob2o3b4o8b10o5bobo$3bo3bo4b6o7bob6obo8b2o$2bo5b3o3bobo9bo7b7o$bob2o7b2o2bo10bo4b12o$b9o3b4o15bob2o4b5o$3b14o16bo4b2o4b2o$2b2o6b5obo17bo3bo4b2o$o7b2o6bo22bobo$o2b2o3bo5b22o6b2o$2bo6b2o3bob24o$4b2o9bo20b7o$5b7o4bo16bob2o3b4o$3b10o19bo6b2o2b2o$3bob2o5b2o17bob5o4b2o$4bo6b2o18b9o$5bo3bo23b2o2b6o$9bo2b21o3b2o2b4o$11bo21bo5b2o2b2o$31b6o5b2o$31bob7o$32bo3b9o$33bob2o2b7o$37bobobob2o$35b5o2bo$35bob2o4bo$36bo$37bo!
:Matthias Merzenich, 2024:B2478/S13678:B2478/S013678:1:0:1:370:58:184b2o$181b2ob2ob2o$180bo2bo2bo2bo$179bo10bo$173b2o2b3o10b3o2b2o$170b2ob2obo2bo10bo2bob2ob2o$169bo2bo2bo3bo10bo3bo2bo2bo$168bo8bo2b2o6b2o2bo8bo$166b3o8bo2bo8bo2bo8b3o$165bo2bo8b2o12b2o8bo2bo$166bo3b2o3b2obo12bob2o3b2o3bo$166b2ob2o5bobo12bobo5b2ob2o$163b2o4bo8b2o10b2o8bo4b2o$162bo2b2o36b2o2bo$163bobo11bo2bo8bo2bo11bobo$160b3o6b2o4b8o4b8o4b2o6b3o$159bo4b4ob2ob2ob8ob2ob8ob2ob2ob4o4bo$160bob2o4bo2bo2bo8bo2bo8bo2bo2bo4b2obo$160b2o46b2o$13b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o3bo44bo3b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o$10b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2bo46bo2b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$9bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b3o46b3o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$8bo152bo46bo152bo$9b151o3b2o40b2o3b151o$9bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob2ob2o42b2ob2obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo$9bo2b75ob23ob47o3bo44bo3b47ob23ob75o2bo$8b2ob6ob3ob7ob11ob3ob3ob9ob7ob3ob5ob3ob3o2bo2b7ob3ob7o2bo2b7ob5ob3ob3ob5ob9ob5o2bo50bo2b5ob9ob5ob3ob3ob5ob7o2bo2b7ob3ob7o2bo2b3ob3ob5ob3ob7ob9ob3ob3ob11ob7ob3ob6ob2o$13b5o3b9o11b30o2b3o2b7o5b8o3b8o5b8o5b5o4b5o2b8o2b3o2bo52bo2b3o2b8o2b5o4b5o5b8o5b8o3b8o5b7o2b3o2b30o11b9o3b5o$9b2o2b4o5b7o13b4o4b8o2b6o5bob3obo5b3obob8obobo2b7obob8o7b3o4bo5bob7obob3ob2o52b2ob3obob7obo5bo4b3o7b8obob7o2bobob8obob3o5bob3obo5b6o2b8o4b4o13b7o5b4o2b2o$6b2ob2ob5obo4b5o12bob4o4b8o2b6o6bo3bo6b2ob3ob9o2bo2b5ob3ob6o9bo4bo7bob6o2bo3bobo52bobo3bo2b6obo7bo4bo9b6ob3ob5o2bo2b9ob3ob2o6bo3bo6b6o2b8o4b4obo12b5o4bob5ob2ob2o$5bo2bo2bob3obobo4b3o12bobob4o2b8ob2ob6o5bobobo5b14o5b2ob15o11bob3o7bob5obo7bo4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4bo7bob5obo7b3obo11b15ob2o5b14o5bobobo5b6ob2ob8o2b4obobo12b3o4bobob3obo2bo2bo$4bo8b3obob3obo13b3obob2o6b6o4b4o4b2o2bobo2b2o4b4o2b6obo3bobob4o4b5o12b2o2bo7b9o4bobo2b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2bobo4b9o7bo2b2o12b5o4b4obobo3bob6o2b4o4b2o2bobo2b2o4b4o4b6o6b2obob3o13bob3obob3o8bo$2b3o9b4o3b2o4bo7b3o3b4ob4ob5obo2bob5obo2b2obob2o2bob13obobo2bo3b4o4b4o13bo3bo4b2o3b5o3b2obo2b2o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b2o2bob2o3b5o3b2o4bo3bo13b4o4b4o3bo2bobob13obo2b2obob2o2bob5obo2bob5ob4ob4o3b3o7bo4b2o3b4o9b3o$bo2bo2b2o8bob5ob5o2b2ob5obo3bo4bob4o2bob4o2b2o13b2o2b3o2b5obob3o5b2o2b2o2b2o12b2obob2o5b2o2b5o2b2o3bo56bo3b2o2b5o2b2o5b2obob2o12b2o2b2o2b2o5b3obob5o2b3o2b2o13b2o2b4obo2b4obo4bo3bob5ob2o2b5ob5obo8b2o2bo2bo$2bo3bo2bo3bo3bob3o3b5obo2bob4obo10b3obo2bob8obo2b3o2bob17o3bo9b2o17bob2obo6bob7obo3b2o2b52o2b2o3bob7obo6bob2obo17b2o9bo3b17obo2b3o2bob8obo2bob3o10bob4obo2bob5o3b3obo3bo3bo2bo3bo$2b2ob2obo3bobo2b5o2bob3obo5b6o7bobo4b2o3b7ob5ob5ob7o2b6obo2bo6b3o2b3o16bo2bo10b3o10bo52bo10b3o10bo2bo16b3o2b3o6bo2bob6o2b7ob5ob5ob7o3b2o4bobo7b6o5bob3obo2b5o2bobo3bob2ob2o$2obo5b4ob3ob5ob5obo6b3o3b2o2b4o4bobo4b26o2b8ob2o5bo8bo19b2o6b7o6b2o54b2o6b7o6b2o19bo8bo5b2ob8o2b26o4bobo4b4o2b2o3b3o6bob5ob5ob3ob4o5bob2o$bo4b2o4bobo3b4obob6o7b2ob2o2bob5ob3obo5b5o20b2o7bobob2o4bob4obo20bo5b3ob3ob3o5bo54bo5b3ob3ob3o5bo20bob4obo4b2obobo7b2o20b5o5bob3ob5obo2b2ob2o7b6obob4o3bobo4b2o4bo$7b2o3bobo2bob3o3b5ob2o7bo5bob3ob2o3b2o5b4o29bo3bo5b2o4b2o18b2obob2ob11ob2obob2o50b2obob2ob11ob2obob2o18b2o4b2o5bo3bo29b4o5b2o3b2ob3obo5bo7b2ob5o3b3obo2bobo3b2o$8bob2o2b2ob4obobob4obo7bobo4bo2b7obobo5b4o17b3o6b2o10bo6bo19bob2o2bo11bo2b2obo52bob2o2bo11bo2b2obo19bo6bo10b2o6b3o17b4o5bobob7o2bo4bobo7bob4obobob4ob2o2b2obo$11bo7b2o2b2ob3o2bobo6bo4b2obo2b5obob3o4bo5b2o4b2o4b3ob3o5bo8b2obob2obob2o19bo19bo56bo19bo19b2obob2obob2o8bo5b3ob3o4b2o4b2o5bo4b3obob5o2bob2o4bo6bobo2b3ob2o2b2o7bo$10bob3o2b3obo2bo2bo4bobo5bo8bob7o3b3obo2b3ob2ob2ob2ob2ob7ob2obob2o7bob2o2b2obo138bob2o2b2obo7b2obob2ob7ob2ob2ob2ob2ob3o2bob3o3b7obo8bo5bobo4bo2bo2bob3o2b3obo$9bo5bob5o6bobo4bo4b2o4b2o2bo6bob5o2b2o3bo2bo2bo2bo2bo7bo2b2obo10bo4bo142bo4bo10bob2o2bo7bo2bo2bo2bo2bo3b2o2b5obo6bo2b2o4b2o4bo4bobo6b5obo5bo$10b2o4bo4bo6b2ob3o2bo3bobo4b2o8bob4obo30bo178bo30bob4obo8b2o4bobo3bo2b3ob2o6bo4bo4b2o$10bo3bo6bo6bo5b2o4bob3obobo8b6o2b2o236b2o2b6o8bobob3obo4b2o5bo6bo6bo3bo$8b2obobob4o2b2o5bob2obobo3b2o3b2o2bo5b2o3b3obo3bo234bo3bob3o3b2o5bo2b2o3b2o3bobob2obo5b2o2b4obobob2o$9bob2o6bo5b2o2bo2b2obo2bobob5ob2o5b2o2b5o2bo236bo2b5o2b2o5b2ob5obobo2bob2o2bo2b2o5bo6b2obo$11bob2o5b2o4b2o5bo2b3obob3o11bob5ob3o236b3ob5obo11b3obob3o2bo5b2o4b2o5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:Matthias Merzenich, 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:Matthias Merzenich, 2024:B258/S2357:B258/S023578:1:-1:0:91:158:69bo$19bo49bobo$17bo2b51o$17bo3bo34bo14b2o9bo$19b2o35bobo11b4o8bobo$16b4ob37o11bo2bob10o$15bo4bo37b2o7bo4bo11b2o$13bo4bob38o9bo6b10o$13bo4bobobo33bobo10bo5bo6bobo$15bo4b4o32bo13b5o3bo3bo$16b2ob4ob35obo12bobobo$14b8obo37b10o2bo5b5o$14b2o2bo4b36o4bo3bo9b3o$18bobob3o37bo4bobo7b2o3bo$15b5o4b35obo3b5o13bobo$14bo5b2o2b2o35b4o4b8ob6o$12bo6b6ob33o4b6o5bo4bo4b2o$12bo4bo2bo4bo30bo5bo2b4o5bobob6o$14bo2bob6obo29bobobo3bo4b7o6bobo$15b4o4bob33o3b8o7b2o4bo$16b2o5bo24bo9bo9b8o$14b2o9bo22bobo6b4o5bo7bobo$10bo3bobo9b24o6bo9bobo5bo$8bo2b4o7bo27b2o2bo6b7o$8bo3bob3obo3bobob24o4bo4bo2bo5b2o$10b2o7b5o3bo20bobo5bo2bob7o$11b2ob3o4b2o2bobobo18bo8b4o5bobo$9b2ob3o5bo5b3o29b2o6bo$9b2o3bobobo4b4obo18b11o$11bo2b2o3b2obo2b4o17bo9bobo$10b7o7bo2bobo14bo11bo$9bo5bob2obo6bo16bob14o$7bo7bo5b25o17bo$7bo10bo24b2o14b2o2bobo$9bo8bob2o20bo16b6o$10b10o20bo4b15o5b2o$11bo8bo19bob2o2bo13b5o$9b2o8b23o3b15o3bobo$5bo3bob2o4bo24bo15bobo2bo$3bo2b4o7bobo21b4o8bo4bo$3bo3bob3ob6o21bo12bobo$5b2o7bo4b2o17bo6b10o$6b2ob3ob6o19bo4bo2bo8b2o$4b2ob3o7bobo9bo10bo2bob10o$4b2o3bobobo3bo11bobo9b4o8bobo$6bo2b2o3b17o11b2o9bo$5b7o4b2obo11b11o$3bo6bob2obo4b11o9bobo$bo2bo5bo6bo3bo2bo4bobo3bo4bo$bo11bo4b3o3bobo2bo5bobo$3b8obo6bob5o5b6o$4bo9b5o2bo4b6o5b2o$2b2o7b4o2bob2ob4o6b5o$2b2o7b3o3bo2b2o3b7o3bobo$4bo14b2o2bo6bobo2bo$3b8o2b2o5bo3bo5bo$2bo10b7ob16o$o9b4o5b2o12bo$o9b3o4bo3bo11bobo$2bo14bo2b15o$3b7o2b2o5bo15b2o$4bo7b23o$2b2o6b3o20bobo$2b2o6b2o21bo$4bo$3b8o$bo12bo$bo2bo5b2o2bobo2bo$3bo6b6o3bobo$5b6o5b5o$6bo2b7o5b2o$4b2o3bo5b6o$4b2ob3obo3b2o2bobo$6b2ob2o8bo$5b2o4b5o$3bo3bob2o11bo$3bo2b4obo3b2o5bobo$5bo3bo5b9o$9b7o8b2o$14b10o$10bo3bo7bobo$8bo2b4obo5bo$8bo3bob2o$10b2o4b2o$11b2ob2o$9b2ob3obo3bo$9b2o3bo5bobo$11bo2b8o$10b6o6b2o$8bo6b7o$6bo2bo5b2o3bobo$6bo13bo$8b8o$9bo$7b2o6b2o21bo$7b2o6b3o20bobo$9bo7b23o$8b7o2b2o5bo15b2o$7bo14bo2b15o$5bo9b3o4bo3bo11bobo$5bo9b4o5b2o12bo$7bo10b7ob16o$8b8o2b2o5bo3bo5bo$9bo14b2o2bo6bobo2bo$7b2o7b3o3bo2b2o3b7o3bobo$7b2o7b4o2bob2ob4o6b5o$9bo9b5o2bo4b6o5b2o$8b8obo6bob5o5b6o$6bo11bo4b3o3bobo2bo5bobo$6bo2bo5bo6bo3bo2bo4bobo3bo4bo$8bo6bob2obo4b11o9bobo$10b7o4b2obo11b11o$11bo2b2o3b17o11b2o5bo$9b2o3bobobo3bo11bobo9b4o4bobo$9b2ob3o7bobo9bo10bo2bob6o$11b2ob3ob6o19bo4bo2bo4b2o$10b2o7bo4b2o17bo6b6o$8bo3bob3ob6o21bo8bobo$8bo2b4o7bobo21b4o4bo8bo$10bo3bob2o4bo24bo15bobo2bo$14b2o8b23o3b15o3bobo$16bo8bo19bob2o2bo13b5o$15b10o20bo4b15o5b2o$14bo8bob2o20bo16b6o$12bo10bo24b2o14b2o2bobo$12bo7bo5b25o17bo$14bo5bob2obo6bo16bob14o$15b7o7bo2bobo14bo11bo$16bo2b2o3b2obo2b4o17bo9bobo$14b2o3bobobo4b4obo18b11o$14b2ob3o5bo5b3o29b2o6bo$16b2ob3o4b2o2bobobo18bo8b4o5bobo$15b2o7b5o3bo20bobo5bo2bob7o$13bo3bob3obo3bobob24o4bo4bo2bo5b2o$13bo2b4o7bo27b2o2bo6b7o$15bo3bobo9b24o6bo9bobo5bo$19b2o9bo22bobo6b4o5bo7bobo$21b2o5bo24bo9bo9b8o$20b4o4bob33o3b8o7b2o4bo$19bo2bob6obo29bobobo3bo4b7o6bobo$17bo4bo2bo4bo30bo5bo2b4o5bobob6o$17bo6b6ob33o4b6o5bo4bo4b2o$19bo5b2o2b2o35b4o4b8ob6o$20b5o4b35obo3b5o13bobo$23bobob3o37bo4bobo7b2o3bo$19b2o2bo4b36o4bo3bo9b3o$19b8obo37b10o2bo5b5o$21b2ob4ob35obo12bobobo$20bo4b4o32bo13b5o3bo3bo$18bo4bobobo33bobo10bo5bo6bobo$18bo4bob38o9bo6b10o$20bo4bo37b2o7bo4bo11b2o$21b4ob37o11bo2bob10o$24b2o35bobo11b4o8bobo$22bo3bo34bo14b2o9bo$22bo2b51o$24bo49bobo$74bo!

-Matthias Merzenich

amling: Posts: 1154; Joined: April 2nd, 2020, 9:47 pm

Re: amling search program principles discussion / brain dump

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Post by amling » November 2nd, 2024, 2:16 am

amling wrote: ↑

October 13th, 2024, 1:37 pm

I ran B2467/S134568 searches f2b, s2s, and b2f to 60 GB and the resulting partials are crazy. I guess I agree that there is unlikely to be a finite photon, but the grammar of parts that can be stitched together to make almost half planes seems actually rather complicated, e.g. here is a random partial from near the end of f2b:

Code: Select all

x = 185, y = 48, rule = B2467/S134568History
F.181B.F$F.181B.F$F.166B2A13B.F$F.13B2A139B2A9BA2BA12B.F$F.12BA2BA9B
2A10B2A8B2A8B2A8B2A8B2A8B2A8B2A8B2A8B2A8B2A8B2A14BA2BA7BA4BA11B.F$F.
11BA4BA7BA2BA8BA2BA6BA2BA6BA2BA6BA2BA6BA2BA6BA2BA6BA2BA6BA2BA6BA2BA6B
A2BA6BA2BA12BA4BA7B4A12B.F$F.12B4A7BA4BA6BA4BA4BA4BA4BA4BA4BA4BA4BA4B
A4BA4BA4BA4BA4BA4BA4BA4BA4BA4BA4BA4BA12B4A6BA6BA10B.F$F.10BA6BA6B4A8B
4A6B4A6B4A6B4A6B4A6B4A6B4A6B4A6B4A6B4A6B4A11BA6BA6B4A12B.F$F.12B4A6BA
6BA4BA6BA2BA6BA2BA6BA2BA6BA2BA6BA2BA6BA2BA6BA2BA6BA2BA6BA2BA6BA2BA6BA
11B4A4B4A4B4A8B.F$F.8B4A4B4A4B4A8B4A6B4A6B4A6B4A6B4A6B4A6B4A6B4A6B4A
6B4A6B4A13B3A2BABA12BA7B.F$F.7BA12BABA2B3A4B4A4B6A4B6A4B6A4B6A4B6A4B
6A4B6A4B6A4B6A4B6A4B4A9B3AB3A5BA2BA5BA6B.F$F.6BA5BA2BA5B3AB3A3BA112BA
4B2A2BABAB3A12BA2BA5B.F$F.5BA2BA12B3ABABA2BA5BA2BA6BA2BA6BA2BA6BA2BA
6BA2BA6BA2BA6BA2BA6BA2BA6BA2BA6BA2BA6BA2BA5BA2BA2BA5B3A14B4A3B.F$F.3B
4A14B3A5BA2BA112B7A3BABABA2B2A4B2A4B3A4B.F$F.4B3A4B2A4B2A2BABABA3B2A
114B7A9BA2BA2BA2BA3BABABA2B.F$F.2BABABA3BA2BA2BA2BA9B2A114B7A5BA3B12A
8B.F$F.8B12A3BA5B2A114B7A9B12A3BA4B.F$F.4BA3B12A9B2A19B2A77B2A14B7A9B
12A8B.F$F.8B12A9B2A18BA2BA9B2A10B2A8B2A8B2A8B2A11B2A9BA2BA13B7A9B12A
8B.F$F.8B12A9B2A17BA4BA7BA2BA8BA2BA6BA2BA6BA2BA6BA2BA9BA2BA7BA4BA12B
7A9B12A8B.F$F.8B12A9B2A18B4A7BA4BA6BA4BA4BA4BA4BA4BA4BA4BA7BA4BA7B4A
13B7A9B12A8B.F$F.8B12A9B2A16BA6BA6B4A8B4A6B4A6B4A6B4A9B4A6BA6BA11B7A
9B12A8B.F$F.8B12A9B2A18B4A6BA6BA4BA6BA2BA6BA2BA6BA2BA6BA5BA6BA6B4A13B
7A9B12A8B.F$F.8B12A9B2A14B4A4B4A4B4A8B4A6B4A6B4A6B4A9B4A4B4A4B4A9B7A
9B12A8B.F$F.8B12A9B2A13BA12BABA2B3A4B4A4B6A4B6A4B6A4B4A5B3A2BABA12BA
8B7A9B12A8B.F$F.8B12A9B2A12BA5BA2BA5B3AB3A3BA42BA4B3AB3A5BA2BA5BA7B7A
9B12A8B.F$F.8B12A9B2A11BA2BA12B3ABABA2BA5BA2BA6BA2BA6BA2BA6BA2BA5BA3B
ABAB3A12BA2BA6B7A9B12A8B.F$F.8B12A9B2A9B4A14B3A5BA2BA42B3A5B3A14B4A4B
7A9B12A8B.F$F.8B12A9B2A10B3A4B2A4B2A2BABABA3B2A44B3A3BABABA2B2A4B2A4B
3A5B7A9B12A8B.F$F.8B12A9B2A8BABABA3BA2BA2BA2BA9B2A44B3A9BA2BA2BA2BA3B
ABABA3B7A9B12A8B.F$F.8B12A9B2A14B12A3BA5B2A44B3A5BA3B12A9B7A9B12A8B.F
$F.8B12A9B2A10BA3B12A9B2A44B3A9B12A3BA5B7A9B12A8B.F$F.8B12A9B2A14B12A
9B2A28B2A14B3A9B12A9B7A9B12A8B.F$F.8B12A9B2A14B12A9B2A27BA2BA13B3A9B
12A9B7A9B12A8B.F$F.8B12A9B2A14B12A9B2A26BA4BA12B3A9B12A9B7A9B12A8B.F$
F.8B12A9B2A14B12A9B2A27B4A13B3A9B12A9B7A9B12A8B.F$F.8B12A9B2A14B12A9B
2A25BA6BA11B3A9B12A9B7A9B12A8B.F$F.8B12A9B2A14B12A9B2A27B4A13B3A9B12A
9B7A9B12A8B.F$F.8B12A9B2A14B12A9B2A16B2A5B4A4B4A9B3A9B12A9B7A9B12A8B.
F$F.8B12A9B2A14B12A9B2A15BA2BA3BA12BA8B3A9B12A9B7A9B12A8B.F$F.8B12A9B
2A14B12A9B2A14BA4BA3BABA4BA5BA7B3A9B12A9B7A9B12A8B.F$F.8B12A9B2A14B
12A9B2A12B4ABA2BAB2A12B3A5B3A9B12A9B7A9B12A8B.F$F.8B12A9B2A14B12A9B2A
13B3A3B2A15B2A6B3A9B12A9B7A9B12A8B.F$F.8B12A9B2A14B12A9B2A11BABABABA
5B3A10B2ABA4BABA2B2A5B12A9B7A9B12A8B.F$F.8B12A9B2A14B12A9B2A19B2ABA3B
A9B2ABAB2A5BA2BA4B12A9B7A9B12A8B.F$F.8B12A9B2A14B12A9B2A13BA3BA2B2A5B
A8B2A2BA2B3AB2ABA5B12A9B7A9B12A8B.F$F.8B12A9B2A14B12A9B2A10B2ABAB4AB
2A5B3A6B2AB7A5B3A2B12A9B7A9B12A8B.F$F.8B12A9B2A14B12A9B2A11B3AB4AB2A
4B3A7B2AB5ABAB2A2B2A3B12A9BABABABA9B12A8B.F!

I struggle to even imagine how a general program to try to prove no finite photons in such a case might operate.

Sometimes yesterday's struggle-to-imagine is tomorrow's figured-it-out.

I was poking around in the region of B2467/S134568 and noticed the common wick stretchers seem unable to have backs at c/1. This made me think maybe some block might be self-forcing and there might be some way to reach a proof.

Running unlimited width searches in B2467/S134568 for these starts...

Code: Select all

| LLLLLuuuuRRRRR |
| ..WWW.**.WWW.. |
| ..WWW.**.WWW.. |

Code: Select all

| LLLLLuuuuuRRRRR |
| ..WWW****.WWW.. |
| ..WWW****.WWW.. |

...shows those inner blocks both propagate themselves downward and thus none can be present in any finite ship.

Rather than recompile with AF2=5 to be able to forbid them easily I just lazily used c1-f2b with U=2X...

Code: Select all

raw:2:0:0:0:-1:1:0:0:1

...and can then forbid the various alignments and flips of them:

Code: Select all

| .**. |
| .**. |

Code: Select all

| W.**.W |
| W.**.W |

Code: Select all

| ****.W |
| ****.W |

Code: Select all

| W****. |
| W****. |

Code: Select all

| W.**** |
| W.**** |

Code: Select all

| .****W |
| .****W |

With all of those 6 blocks forbidden an arbitrary width f2b search terminates quickly enough with this final partial...

Code: Select all

| ...................................................................... |
| ...................................................................... |
| ...............................**........**........................... |
| ..............................*..*......*..*.......................... |
| .............................*....*....*....*......................... |
| ..............................****......****.......................... |
| ............................*......*..*......*........................ |
| ..............................****......****.......................... |
| ..........................****....******....****...................... |
| .........................*......................*..................... |
| ........................*.....*..*......*..*.....*.................... |
| .......................*..*....................*..*................... |
| ........................**.*.....................****................. |
| ......................*.....*....................***.................. |
| ....................****..**.....................*.*.*...**........... |
| .....................***.*...*................**........*..*.......... |
| .............**....*.*.*.***...........**...***..*...*.*....*......... |
| ............*..*.........***............***.***.****.*..****.......... |
| ........**...*.***.*...*.*.*..........*.***.*.*.***...*......*........ |
| .......*..*.**.***...........**....**.*.***.....*.*.**..****.......... |
| .....******....*.*.*.****.***..*..*..*..*.*.*........*..***..*.**..... |
| ......*******........***..***.*....*.*............*....****.***..*.... |
| ....*.*.*.*******.****.****.***....***....*....**.*.*.***.*.***.*..... |
| . . . . * * * . . . * . * * * . . * * . . . . . . . . . * . * * . . .  |

...and thereby completes a proof of no finite ships in B2467/S134568.

EDIT: I tried similar for B2467/S1345 with less luck.

This 2x4 block is self-propagating:

Code: Select all

| .**. |
| .**. |

...but even with it forbidden there is still an f2b almost half plane:

Code: Select all

x = 110, y = 26, rule = B2467/S1345
54b2o$53bo2bo$52bo4bo$53b4o$36b2o13bo6bo13b2o$35bo2bo14b4o14bo2bo$34bo
4bo9b4o4b4o9bo4bo$35b4o9bo12bo9b4o$18b2o13bo6bo6bo5bo2bo5bo6bo6bo13b2o
$17bo2bo14b4o6b3o14b3o6b4o14bo2bo$16bo4bo9b4o4b4o3b2o14b2o3b4o4b4o9bo
4bo$17b4o9bo12bobobo14bobobo12bo9b4o$2o13bo6bo6bo5bo2bo5b5o12b5o5bo2bo
5bo6bo6bo13b2o$2bo14b4o6b3o14b2ob2ob2o6b2ob2ob2o14b3o6b4o14bo$3bo9b4o
4b4o3b2o14bobob3o8b3obobo14b2o3b4o4b4o9bo$3o9bo12bobobo13b2o3bobobo4bo
bobo3b2o13bobobo12bo9b3o$4bo6bo5bo2bo5b5o48b5o5bo2bo5bo6bo$3o6b3o14b2o
b2ob2o8bo2bo4bo8bo4bo2bo8b2ob2ob2o14b3o6b3o$3b4o3b2o14bobob3o44b3obobo
14b2o3b4o$7bobobo13b2o3bobobo40bobobo3b2o13bobobo$2bo5b5o84b5o5bo$8b2o
b2ob2o8bo2bo4bo44bo4bo2bo8b2ob2ob2o$8bobob3o80b3obobo$7b2o3bobobo76bob
obo3b2o2$6bo2bo4bo80bo4bo2bo!

And I think it's gonna be unlikely to get any sort of self-forcing shown for any block in there.

LaundryPizza03: Posts: 2596; Joined: December 15th, 2017, 12:05 am; Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: amling search program principles discussion / brain dump

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Post by LaundryPizza03 » November 2nd, 2024, 3:46 am

amling wrote: ↑

November 2nd, 2024, 2:16 am

EDIT: I tried similar for B2467/S1345 with less luck.

This 2x4 block is self-propagating:

Code: Select all

| .**. |
| .**. |

...but even with it forbidden there is still an f2b almost half plane:

Code: Select all

x = 110, y = 26, rule = B2467/S1345
54b2o$53bo2bo$52bo4bo$53b4o$36b2o13bo6bo13b2o$35bo2bo14b4o14bo2bo$34bo
4bo9b4o4b4o9bo4bo$35b4o9bo12bo9b4o$18b2o13bo6bo6bo5bo2bo5bo6bo6bo13b2o
$17bo2bo14b4o6b3o14b3o6b4o14bo2bo$16bo4bo9b4o4b4o3b2o14b2o3b4o4b4o9bo
4bo$17b4o9bo12bobobo14bobobo12bo9b4o$2o13bo6bo6bo5bo2bo5b5o12b5o5bo2bo
5bo6bo6bo13b2o$2bo14b4o6b3o14b2ob2ob2o6b2ob2ob2o14b3o6b4o14bo$3bo9b4o
4b4o3b2o14bobob3o8b3obobo14b2o3b4o4b4o9bo$3o9bo12bobobo13b2o3bobobo4bo
bobo3b2o13bobobo12bo9b3o$4bo6bo5bo2bo5b5o48b5o5bo2bo5bo6bo$3o6b3o14b2o
b2ob2o8bo2bo4bo8bo4bo2bo8b2ob2ob2o14b3o6b3o$3b4o3b2o14bobob3o44b3obobo
14b2o3b4o$7bobobo13b2o3bobobo40bobobo3b2o13bobobo$2bo5b5o84b5o5bo$8b2o
b2ob2o8bo2bo4bo44bo4bo2bo8b2ob2ob2o$8bobob3o80b3obobo$7b2o3bobobo76bob
obo3b2o2$6bo2bo4bo80bo4bo2bo!

And I think it's gonna be unlikely to get any sort of self-forcing shown for any block in there.

Regular LLSSS seems to give evidence that a finite ship exists, using c1-s2s:

Code: Select all

x = 33, y = 24, rule = B2467/S1345
o$ob2o6b2o8b2o$bo2bo4bo2bo6bo2bo$bobo4bo4bo4bo4bo$2bo2bo3b4o6b4o$2bo2b
obo6bo2bo6bo$o2b2o4b4o6b4o$2o4b3o4b6o4b4o$2o2b2o21bo$bo3bobo4bo6bo2bo
5bo$bo23b3o$2b2obo20b2o$2bo2bob2o13b2obobo$o5bo2bo11bo2b5o$o5bobo4b2o
7bob2ob2ob2o$2o3b5ob3o8b3obob3o$4ob2ob2o2b2obo2b2o2bobo3bobobo$ob2obob
obobobobobo2bo$bob3o3b3o3b3obo2bo7bo$3bobobobobobobobob2o$19b3obo$5bo
3bo3bo3bobobo2$19bo!

This is at height 30. There is probably a new component at higher width, but I need to go to bed now.

Code: Select all

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

LaundryPizza03 at Wikipedia

Sokwe: Moderator; Posts: 3367; Joined: July 9th, 2009, 2:44 pm

Re: amling search program principles discussion / brain dump

Quote
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Post by Sokwe » November 2nd, 2024, 4:01 am

amling wrote: ↑
November 2nd, 2024, 2:16 am
...and thereby completes a proof of no finite ships in B2467/S134568....

I tried similar for B2467/S1345 with less luck.

Can you apply this same method to the following rules?

Code: Select all

B24678/S134568
B2478/S134568
B248/S13456

This would cover the currently unsolved rules

Code: Select all

B24678/S134568
B247/S134568
B2478/S134568
B247/S13456
B2478/S13456
B248/S13456
B24/S13456

On the other side of the project, your newest version of autoChoke has allowed me to find a ship in B2457/S1346(8) with an arbirtrary-width c1-s2s search with autoChoke ~50mb. I would say this new fast binary search autoChoke has at least been useful for me and my craptop.

Code: Select all

x = 280, y = 130, rule = B2457/S1346
70b2o28b2o22b2o28b2o22b2o28b2o$51b2o16bo2bo26bo2bo20bo2bo26bo2bo20bo2b
o26bo2bo16b2o$50bo2bo16b2o28b2o22b2o28b2o22b2o28b2o16bo2bo$51b2o15bo4b
o3b2o14b2o3bo4bo18bo4bo3b2o14b2o3bo4bo18bo4bo3b2o14b2o3bo4bo15b2o$49bo
4bo3b2o7bob2o2bob3o3b2o6b2o3b3obo2b2obo16bob2o2bob3o3b2o6b2o3b3obo2b2o
bo16bob2o2bob3o3b2o6b2o3b3obo2b2obo7b2o3bo4bo$48bob2o2bob3o3b2o2bo4bo
2b5obo2bo4bo2bob5o2bo4bo2b2o6b2o2bo4bo2b5obo2bo4bo2bob5o2bo4bo2b2o6b2o
2bo4bo2b5obo2bo4bo2bob5o2bo4bo2b2o3b3obo2b2obo$43b2o2bo4bo2b5obo2bob2o
2b2o2bo3bo2b2o6b2o2bo3bo2b2o2b2obo2bo4bo2bob2o2b2o2bo3bo2b2o6b2o2bo3bo
2b2o2b2obo2bo4bo2bob2o2b2o2bo3bo2b2o6b2o2bo3bo2b2o2b2obo2bob5o2bo4bo2b
2o$42bo2bob2o2b2o2bo3bo2b2o9b2obob2o4bo2bo4b2obob2o9b2o6b2o9b2obob2o4b
o2bo4b2obob2o9b2o6b2o9b2obob2o4bo2bo4b2obob2o9b2o2bo3bo2b2o2b2obo2bo$
43b2o9b2obob2o4b7o9b10o9b7o4bo2bo4b7o9b10o9b7o4bo2bo4b7o9b10o9b7o4b2ob
ob2o9b2o$41bo4b7o9b3o7b8o2b8o2b8o7b3o6b3o7b8o2b8o2b8o7b3o6b3o7b8o2b8o
2b8o7b3o9b7o4bo$43b3o7b9o18b2o8b2o18b6o18b2o8b2o18b6o18b2o8b2o18b9o7b
3o$39b4o22bo5bo28bo5bo12bo5bo28bo5bo12bo5bo28bo5bo22b4o$38bo7bo5bo9bo
16bo2bo6bo2bo16bo6bo16bo2bo6bo2bo16bo6bo16bo2bo6bo2bo16bo9bo5bo7bo$37b
o5bo192bo5bo$38b3o83b2o28b2o83b3o$38b2o83bo2bo26bo2bo83b2o$15b2o21bo
85b2o28b2o85bo21b2o$14bo2bo13b2o2b2o6b2o77bo4bo3b2o14b2o3bo4bo77b2o6b
2o2b2o13bo2bo$15b2o13bo2bob2o5bo2bo75bob2o2bob3o3b2o6b2o3b3obo2b2obo
75bo2bo5b2obo2bo13b2o$15b2o5b2o5bo4bobo6b2o71b2o2bo4bo2b5obo2bo4bo2bob
5o2bo4bo2b2o71b2o6bobo4bo5b2o5b2o$15bob2o2bo2bo2b3o4b3o4bo4bo68bo2bob
2o2b2o2bo3bo2b2o6b2o2bo3bo2b2o2b2obo2bo68bo4bo4b3o4b3o2bo2bo2b2obo$15b
ob2obo4bob3o2b3o3b2obo2b2obo68b2o9b2obob2o4bo2bo4b2obob2o9b2o68bob2o2b
ob2o3b3o2b3obo4bob2obo$15b5o2bob3obob3obob5o2bo4bo2b2o48b2o11bo4b7o9b
10o9b7o4bo11b2o48b2o2bo4bo2b5obob3obob3obo2b5o$15bo2b3o3bobobobobo4bo
2bo2b2o2b2obo2bo46bo2bo12b3o7b8o2b8o2b8o7b3o12bo2bo46bo2bob2o2b2o2bo2b
o4bobobobobo3b3o2bo$14b2obo2bo5b5o5bobob2o9b2o9b2o26b2o9b2o9b4o18b2o8b
2o18b4o9b2o9b2o26b2o9b2o9b2obobo5b5o5bo2bob2o$18bob2o6bo8bo5b7o4bo6bo
2bo24bo2bo6bo4bo6bo7bo5bo28bo5bo7bo6bo4bo6bo2bo24bo2bo6bo4b7o5bo8bo6b
2obo$13bo2b2o9bobo5bo3b4o7b4obo6b2o26b2o6bob3o7bo5bo16bo2bo6bo2bo16bo
5bo7b3obo6b2o26b2o6bob4o7b4o3bo5bobo9b2o2bo$17b3o2bo5bo5bob3o17bo5b2o
26b2o5bo5b4o4b3o52b3o4b4o5bo5b2o26b2o5bo17b3obo5bo5bo2b3o$6b2o4bobobob
o9bo4bo9bo5bo4b2o4b2obo26bob2o4b2o7bo3b2o54b2o3bo7b2o4b2obo26bob2o4b2o
4bo5bo9bo4bo9bobobobo4b2o$5bo2bo5bo2bob6o2b2o5b2o3bo15bo5b3o4b2o14b2o
4b3o5bo3bo5bo2bo56bo2bo5bo3bo5b3o4b2o14b2o4b3o5bo15bo3b2o5b2o2b6obo2bo
5bo2bo$6b2o7bo9bob2o3bo3bo20b2obob2o2b3o3b2o6b2o3b3o2b2obob2o9bo2bo60b
o2bo9b2obob2o2b3o3b2o6b2o3b3o2b2obob2o20bo3bo3b2obo9bo7b2o$4bo4bo2b7o
7b5obo2bo21b4ob8obo2bo4bo2bob8ob4o11b3obo54bob3o11b4ob8obo2bo4bo2bob8o
b4o21bo2bob5o7b7o2bo4bo$3bob3o5b5o8bo2bo3b3o21bo2b4obo3bo2b2o6b2o2bo3b
ob4o2bo11bobo58bobo11bo2b4obo3bo2b2o6b2o2bo3bob4o2bo21b3o3bo2bo8b5o5b
3obo$2bo5b5o5b3o5bobobo2bobo20b2obob2o2bobob2o4bo2bo4b2obobo2b2obob2o
10bo62bo10b2obob2o2bobob2o4bo2bo4b2obobo2b2obob2o20bobo2bobobo5b3o5b5o
5bo$3b2o16bo2b2o3bo3bo3b2o21bo2b2o7b10o7b2o2bo13b3obo56bob3o13bo2b2o7b
10o7b2o2bo21b2o3bo3bo3b2o2bo16b2o$3bo3bo5bo5b2o4b3o3bo2bob2o7b2o7b5o7b
5o2b8o2b5o7b2o8b3obo60bob3o8b2o7b5o2b8o2b5o7b5o7b2o7b2obo2bo3b3o4b2o5b
o5bo3bo$3b2obobo3bobo3bo3bob5ob3o2b2obob2o2bo2bo5bo5b7o5b2o8b2o5b7o2bo
5b3obo64bob3o5bo2b7o5b2o8b2o5b7o5bo5bo2bo2b2obob2o2b3ob5obo3bo3bobo3bo
bob2o$3b2o2bo5bo5bo2bo3bo3bob9o4b2o5bo45bo2b3obo68bob3o2bo45bo5b2o4b9o
bo3bo3bo2bo5bo5bo2b2o$3bob3o3bo3bo3b3o3bobo4bobo2b3obobo4bo4b3o2bo7bo
3bo2bo6bo2bo3bo7bob5obo72bob5obo7bo3bo2bo6bo2bo3bo7bo2b3o4bo4bobob3o2b
obo4bobo3b3o3bo3bo3b3obo$3bobobo2bob3obo2bobo4bo7bobo3bo2bo2b2obo3b2o
42bobobo76bobobo42b2o3bob2o2bo2bo3bobo7bo4bobo2bob3obo2bobobo$3b3o3bo
7bo3b2o3bo4bob3o6bo2bo4bo2bo45bo80bo45bo2bo4bo2bo6b3obo4bo3b2o3bo7bo3b
3o$3bo5b2o2bo2b2o8b2o5bobo3bob3o2b3o2bo44bob3obo74bob3obo44bo2b3o2b3ob
o3bobo5b2o8b2o2bo2b2o5bo$3bob3o11b6o10b2o4bobo2b2o2b3obo43b3o78b3o43bo
b3o2b2o2bobo4b2o10b6o11b3obo$b2o3bo2b10o6b2o16bo2bo3bobo42bobobobobo
27b2o14b2o27bobobobobo42bobo3bo2bo16b2o6b10o2bo3b2o$2bo2bob2o18bo6bo2b
o2bob3o5bo46b5o28bo2bo12bo2bo28b5o46bo5b3obo2bo2bo6bo18b2obo2bo$4bo14b
o6bo15bobo4b3obo45bo31b2o14b2o31bo45bob3o4bobo15bo6bo14bo$bob3o2b3o16b
3o14bo2b3obo28b2o16bobo23b2o3bo4bo10bo4bo3b2o23bobo16b2o28bob3o2bo14b
3o16b3o2b3obo$3bob5o17b2o16b3obo11b2o16bo2bo16bo20b2o3b3obo2b2obo8bob
2o2bob3o3b2o20bo16bo2bo16b2o11bob3o16b2o17b5obo$5bobo2bob2o13bo17bobo
12bo2bo16b2o15bo3bo17bo2bob5o2bo4bo2b2o2bo4bo2b5obo2bo17bo3bo15b2o16bo
2bo12bobo17bo13b2obo2bobo$7bobo2b4o8b2o18b2o15b2o15bo4bo3b2o7bob3obo
17b2o2bo3bo2b2o2b2obo2bob2o2b2o2bo3bo2b2o17bob3obo7b2o3bo4bo15b2o15b2o
18b2o8b4o2bobo$4bob3o2b3ob3o5bo2b4o29bo4bo3b2o7bob2o2bob3o3b2o2bo7bo2b
2o10bo4b2obob2o9b2o9b2obob2o4bo10b2o2bo7bo2b2o3b3obo2b2obo7b2o3bo4bo
29b4o2bo5b3ob3o2b3obo$6bobo2b2o2bob3o2bo7bo12bo2bo11bob2o2bob3o3b2o2bo
4bo2b5obo2bob2o2bo2b2obo2bo8bob3o9b7o4b7o9b3obo8bo2bob2o2bo2b2obo2bob
5o2bo4bo2b2o3b3obo2b2obo11bo2bo12bo7bo2b3obo2b2o2bobo$8bo2bo5bob5obo5b
o21b2o2bo4bo2b5obo2bob2o2b2o2bo3bo2b2o13b2o8bo5b9o7b4o7b9o5bo8b2o13b2o
2bo3bo2b2o2b2obo2bob5o2bo4bo2b2o21bo5bob5obo5bo2bo$5bob3o9bobobo4b3o
21bo2bob2o2b2o2bo3bo2b2o9b2obob2o4b11o4bo7b2o42b2o7bo4b11o4b2obob2o9b
2o2bo3bo2b2o2b2obo2bo21b3o4bobobo9b3obo$7bobo11bo7b2o22b2o9b2obob2o4b
7o9b3o11b3o9bo3bo9bo5bo4bo5bo9bo3bo9b3o11b3o9b7o4b2obob2o9b2o22b2o7bo
11bobo$9b2o7bob3obo5bo20bo4b7o9b3o7b9o17b4o2b2o48b2o2b4o17b9o7b3o9b7o
4bo20bo5bob3obo7b2o$20b3o9b2o19b3o7b9o22bo9bo7bob2o48b2obo7bo9bo22b9o
7b3o19b2o9b3o$8bo2bo5bobobobobo3bob2o7b2o7b4o22bo5bo9bo15bo5bobo48bobo
5bo15bo9bo5bo22b4o7b2o7b2obo3bobobobobo5bo2bo$19b5o4bob2obob2o2bo2bo5b
o7bo5bo9bo40bobo48bobo40bo9bo5bo7bo5bo2bo2b2obob2obo4b5o$21bo7b7o4b2o
5bo5bo52bobo4b3o48b3o4bobo52bo5bo5b2o4b7o7bo$20bobo6bo2b3obobo4bo4b3o
57bob2o3bo48bo3b2obo57b3o4bo4bobob3o2bo6bobo$21bo7bobo3bo2bo2b2obo3b2o
59b5obo48bob5o59b2o3bob2o2bo2bo3bobo7bo$21bo6b3o6bo2bo4bo2bo60bo2bo3b
2o44b2o3bo2bo60bo2bo4bo2bo6b3o6bo$20b2o3b2obobo3bob3o2b3o2bo62bobobo2b
o46bo2bobobo62bo2b3o2b3obo3bobob2o3b2o$23b3o4b2o4bobo2b2o2b3obo56b2o2b
o3bo50bo3bo2b2o56bob3o2b2o2bobo4b2o4b3o$19bo2b5o11bo2bo3bobo56b4o2bo2b
3obo44bob3o2bo2b4o56bobo3bo2bo11b5o2bo$24bo4bo2bo2bob3o5bo56b3ob3o2b3o
bo48bob3o2b3ob3o56bo5b3obo2bo2bo4bo$23bobo11bobo4b3obo51b3obo2b2o2bobo
52bobo2b2o2bob3o51bob3o4bobo11bobo$24bo14bo2b3obo51b3obo5bo2bo56bo2bo
5bob3o51bob3o2bo14bo$22bo3bo13b3obo51b3obo9b3obo50bob3o9bob3o51bob3o
13bo3bo$24bo15bobo51b3obo11bobo54bobo11bob3o51bobo15bo$21bob3obo11b2o
51b3obo12b2o58b2o12bob3o51b2o11bob3obo$23b3o64b3obo90bob3o64b3o$20bobo
bobobo9bo2bo46b3obo15bo2bo56bo2bo15bob3o46bo2bo9bobobobobo$22b5o59b3ob
o98bob3o59b5o$24bo59b3obo102bob3o59bo$23bobo56b3obo106bob3o56bobo$24bo
55b3obo110bob3o55bo$22bo3bo51b3obo114bob3o51bo3bo$24bo51b3obo118bob3o
51bo$21bob3obo46b3obo122bob3o46bob3obo$23b3o46b3obo126bob3o46b3o$20bob
obobobo41b3obo130bob3o41bobobobobo$22b5o41b3obo134bob3o41b5o$24bo41b3o
bo138bob3o41bo$23bobo38b3obo142bob3o38bobo$24bo37b3obo146bob3o37bo$22b
o3bo33b3obo150bob3o33bo3bo$24bo33b3obo154bob3o33bo$b2o5b2o11bob3obo28b
3obo158bob3o28bob3obo11b2o5b2o$o2bo3bo2bo12b3o28b3obo162bob3o28b3o12bo
2bo3bo2bo$b2o5b2o10bobobobobo23b3obo166bob3o23bobobobobo10b2o5b2o$b2o
3bo4bo10b5o23b3obo170bob3o23b5o10bo4bo3b2o$5obo2b2obo11bo23b3obo174bob
3o23bo11bob2o2bob5o$2b4o2bo4bo2b2o5bobo6b2o12b3obo178bob3o12b2o6bobo5b
2o2bo4bo2b4o$bo3bo2b2o2b2obo2bo5bo6bo2bo9b3obo182bob3o9bo2bo6bo5bo2bob
2o2b2o2bo3bo$2b2ob2o9b2o6bo7b2o8b3obo186bob3o8b2o7bo6b2o9b2ob2o$2bo5b
7o4bo4b2o6b2o6b3obo190bob3o6b2o6b2o4bo4b7o5bo$2b2o2b2o7b2o2bob2o8b5o2b
3obo194bob3o2b5o8b2obo2b2o7b2o2b2o$2b2obo11bo2b4o2bo6b6obo198bob6o6bo
2b4o2bo11bob2o$2bobo3bo7bo2b3o10bo3bobo202bobo3bo10b3o2bo7bo3bobo$2bob
o9b3o2bo2bo10b2obo206bob2o10bo2bo2b3o9bobo$2b3o7b3obo2bobo11bo3bobo
200bobo3bo11bobo2bob3o7b3o$2bo3b2o2b3obo3b3o2bo2b2o2b2o4b2o204b2o4b2o
2b2o2bo2b3o3bob3o2b2o3bo$2bob7obo5bobo2bobo2bob2o216b2obo2bobo2bobo5bo
b7obo$2o3bo2bobo6b2o3b3o4bobo3bo2bo202bo2bo3bobo4b3o3b2o6bobo2bo3b2o$b
o2bobobo13bobo4bobo216bobo4bobo13bobobo2bo$3bo3bo7b6o3bo4b3o216b3o4bo
3b6o7bo3bo$ob3o2bo6bo6b3o2b2o3bo216bo3b2o2b3o6bo6bo2b3obo$2bob3o2b2o2b
o11b5obo216bob5o11bo2b2o2b3obo$4bob8o8bo2bo2bo3b2o212b2o3bo2bo2bo8b8ob
o$6bobo2bobo11bobobo2bo214bo2bobobo11bobo2bobo$8bobob2o7bobo2bo3bo218b
o3bo2bobo7b2obobo$5bobo3bobo9bo2bo2b3obo212bob3o2bo2bo9bobo3bobo$7b2o
2bobo6bob3o2b3obo216bob3o2b3obo6bobo2b2o$11b3o8bobo2bobo220bobo2bobo8b
3o$6bo2bo3bo10bo2bo224bo2bo10bo3bo2bo$11b3o3b2o2bobo2b3obo218bob3o2bob
o2b2o3b3o$11b3o2bo2bobo2b3obo222bob3o2bobo2bo2b3o$11bobo3b2o3b3obo226b
ob3o3b2o3bobo$10b2o3bo4b3obo230bob3o4bo3b2o$15bo2b3obo234bob3o2bo$11b
3o2b3obo238bob3o2b3o$12b2o2bobo242bobo2b2o$13bo2bo246bo2bo$15b3obo240b
ob3o$15bobo244bobo$14b2o248b2o2$13bo2bo246bo2bo!

Database entry:

Code: Select all

:Matthias Merzenich, 2024:B2457/S1346:B24578/S13468:1:0:1:280:130:70b2o28b2o22b2o28b2o22b2o28b2o$51b2o16bo2bo26bo2bo20bo2bo26bo2bo20bo2bo26bo2bo16b2o$50bo2bo16b2o28b2o22b2o28b2o22b2o28b2o16bo2bo$51b2o15bo4bo3b2o14b2o3bo4bo18bo4bo3b2o14b2o3bo4bo18bo4bo3b2o14b2o3bo4bo15b2o$49bo4bo3b2o7bob2o2bob3o3b2o6b2o3b3obo2b2obo16bob2o2bob3o3b2o6b2o3b3obo2b2obo16bob2o2bob3o3b2o6b2o3b3obo2b2obo7b2o3bo4bo$48bob2o2bob3o3b2o2bo4bo2b5obo2bo4bo2bob5o2bo4bo2b2o6b2o2bo4bo2b5obo2bo4bo2bob5o2bo4bo2b2o6b2o2bo4bo2b5obo2bo4bo2bob5o2bo4bo2b2o3b3obo2b2obo$43b2o2bo4bo2b5obo2bob2o2b2o2bo3bo2b2o6b2o2bo3bo2b2o2b2obo2bo4bo2bob2o2b2o2bo3bo2b2o6b2o2bo3bo2b2o2b2obo2bo4bo2bob2o2b2o2bo3bo2b2o6b2o2bo3bo2b2o2b2obo2bob5o2bo4bo2b2o$42bo2bob2o2b2o2bo3bo2b2o9b2obob2o4bo2bo4b2obob2o9b2o6b2o9b2obob2o4bo2bo4b2obob2o9b2o6b2o9b2obob2o4bo2bo4b2obob2o9b2o2bo3bo2b2o2b2obo2bo$43b2o9b2obob2o4b7o9b10o9b7o4bo2bo4b7o9b10o9b7o4bo2bo4b7o9b10o9b7o4b2obob2o9b2o$41bo4b7o9b3o7b8o2b8o2b8o7b3o6b3o7b8o2b8o2b8o7b3o6b3o7b8o2b8o2b8o7b3o9b7o4bo$43b3o7b9o18b2o8b2o18b6o18b2o8b2o18b6o18b2o8b2o18b9o7b3o$39b4o22bo5bo28bo5bo12bo5bo28bo5bo12bo5bo28bo5bo22b4o$38bo7bo5bo9bo16bo2bo6bo2bo16bo6bo16bo2bo6bo2bo16bo6bo16bo2bo6bo2bo16bo9bo5bo7bo$37bo5bo192bo5bo$38b3o83b2o28b2o83b3o$38b2o83bo2bo26bo2bo83b2o$15b2o21bo85b2o28b2o85bo21b2o$14bo2bo13b2o2b2o6b2o77bo4bo3b2o14b2o3bo4bo77b2o6b2o2b2o13bo2bo$15b2o13bo2bob2o5bo2bo75bob2o2bob3o3b2o6b2o3b3obo2b2obo75bo2bo5b2obo2bo13b2o$15b2o5b2o5bo4bobo6b2o71b2o2bo4bo2b5obo2bo4bo2bob5o2bo4bo2b2o71b2o6bobo4bo5b2o5b2o$15bob2o2bo2bo2b3o4b3o4bo4bo68bo2bob2o2b2o2bo3bo2b2o6b2o2bo3bo2b2o2b2obo2bo68bo4bo4b3o4b3o2bo2bo2b2obo$15bob2obo4bob3o2b3o3b2obo2b2obo68b2o9b2obob2o4bo2bo4b2obob2o9b2o68bob2o2bob2o3b3o2b3obo4bob2obo$15b5o2bob3obob3obob5o2bo4bo2b2o48b2o11bo4b7o9b10o9b7o4bo11b2o48b2o2bo4bo2b5obob3obob3obo2b5o$15bo2b3o3bobobobobo4bo2bo2b2o2b2obo2bo46bo2bo12b3o7b8o2b8o2b8o7b3o12bo2bo46bo2bob2o2b2o2bo2bo4bobobobobo3b3o2bo$14b2obo2bo5b5o5bobob2o9b2o9b2o26b2o9b2o9b4o18b2o8b2o18b4o9b2o9b2o26b2o9b2o9b2obobo5b5o5bo2bob2o$18bob2o6bo8bo5b7o4bo6bo2bo24bo2bo6bo4bo6bo7bo5bo28bo5bo7bo6bo4bo6bo2bo24bo2bo6bo4b7o5bo8bo6b2obo$13bo2b2o9bobo5bo3b4o7b4obo6b2o26b2o6bob3o7bo5bo16bo2bo6bo2bo16bo5bo7b3obo6b2o26b2o6bob4o7b4o3bo5bobo9b2o2bo$17b3o2bo5bo5bob3o17bo5b2o26b2o5bo5b4o4b3o52b3o4b4o5bo5b2o26b2o5bo17b3obo5bo5bo2b3o$6b2o4bobobobo9bo4bo9bo5bo4b2o4b2obo26bob2o4b2o7bo3b2o54b2o3bo7b2o4b2obo26bob2o4b2o4bo5bo9bo4bo9bobobobo4b2o$5bo2bo5bo2bob6o2b2o5b2o3bo15bo5b3o4b2o14b2o4b3o5bo3bo5bo2bo56bo2bo5bo3bo5b3o4b2o14b2o4b3o5bo15bo3b2o5b2o2b6obo2bo5bo2bo$6b2o7bo9bob2o3bo3bo20b2obob2o2b3o3b2o6b2o3b3o2b2obob2o9bo2bo60bo2bo9b2obob2o2b3o3b2o6b2o3b3o2b2obob2o20bo3bo3b2obo9bo7b2o$4bo4bo2b7o7b5obo2bo21b4ob8obo2bo4bo2bob8ob4o11b3obo54bob3o11b4ob8obo2bo4bo2bob8ob4o21bo2bob5o7b7o2bo4bo$3bob3o5b5o8bo2bo3b3o21bo2b4obo3bo2b2o6b2o2bo3bob4o2bo11bobo58bobo11bo2b4obo3bo2b2o6b2o2bo3bob4o2bo21b3o3bo2bo8b5o5b3obo$2bo5b5o5b3o5bobobo2bobo20b2obob2o2bobob2o4bo2bo4b2obobo2b2obob2o10bo62bo10b2obob2o2bobob2o4bo2bo4b2obobo2b2obob2o20bobo2bobobo5b3o5b5o5bo$3b2o16bo2b2o3bo3bo3b2o21bo2b2o7b10o7b2o2bo13b3obo56bob3o13bo2b2o7b10o7b2o2bo21b2o3bo3bo3b2o2bo16b2o$3bo3bo5bo5b2o4b3o3bo2bob2o7b2o7b5o7b5o2b8o2b5o7b2o8b3obo60bob3o8b2o7b5o2b8o2b5o7b5o7b2o7b2obo2bo3b3o4b2o5bo5bo3bo$3b2obobo3bobo3bo3bob5ob3o2b2obob2o2bo2bo5bo5b7o5b2o8b2o5b7o2bo5b3obo64bob3o5bo2b7o5b2o8b2o5b7o5bo5bo2bo2b2obob2o2b3ob5obo3bo3bobo3bobob2o$3b2o2bo5bo5bo2bo3bo3bob9o4b2o5bo45bo2b3obo68bob3o2bo45bo5b2o4b9obo3bo3bo2bo5bo5bo2b2o$3bob3o3bo3bo3b3o3bobo4bobo2b3obobo4bo4b3o2bo7bo3bo2bo6bo2bo3bo7bob5obo72bob5obo7bo3bo2bo6bo2bo3bo7bo2b3o4bo4bobob3o2bobo4bobo3b3o3bo3bo3b3obo$3bobobo2bob3obo2bobo4bo7bobo3bo2bo2b2obo3b2o42bobobo76bobobo42b2o3bob2o2bo2bo3bobo7bo4bobo2bob3obo2bobobo$3b3o3bo7bo3b2o3bo4bob3o6bo2bo4bo2bo45bo80bo45bo2bo4bo2bo6b3obo4bo3b2o3bo7bo3b3o$3bo5b2o2bo2b2o8b2o5bobo3bob3o2b3o2bo44bob3obo74bob3obo44bo2b3o2b3obo3bobo5b2o8b2o2bo2b2o5bo$3bob3o11b6o10b2o4bobo2b2o2b3obo43b3o78b3o43bob3o2b2o2bobo4b2o10b6o11b3obo$b2o3bo2b10o6b2o16bo2bo3bobo42bobobobobo27b2o14b2o27bobobobobo42bobo3bo2bo16b2o6b10o2bo3b2o$2bo2bob2o18bo6bo2bo2bob3o5bo46b5o28bo2bo12bo2bo28b5o46bo5b3obo2bo2bo6bo18b2obo2bo$4bo14bo6bo15bobo4b3obo45bo31b2o14b2o31bo45bob3o4bobo15bo6bo14bo$bob3o2b3o16b3o14bo2b3obo28b2o16bobo23b2o3bo4bo10bo4bo3b2o23bobo16b2o28bob3o2bo14b3o16b3o2b3obo$3bob5o17b2o16b3obo11b2o16bo2bo16bo20b2o3b3obo2b2obo8bob2o2bob3o3b2o20bo16bo2bo16b2o11bob3o16b2o17b5obo$5bobo2bob2o13bo17bobo12bo2bo16b2o15bo3bo17bo2bob5o2bo4bo2b2o2bo4bo2b5obo2bo17bo3bo15b2o16bo2bo12bobo17bo13b2obo2bobo$7bobo2b4o8b2o18b2o15b2o15bo4bo3b2o7bob3obo17b2o2bo3bo2b2o2b2obo2bob2o2b2o2bo3bo2b2o17bob3obo7b2o3bo4bo15b2o15b2o18b2o8b4o2bobo$4bob3o2b3ob3o5bo2b4o29bo4bo3b2o7bob2o2bob3o3b2o2bo7bo2b2o10bo4b2obob2o9b2o9b2obob2o4bo10b2o2bo7bo2b2o3b3obo2b2obo7b2o3bo4bo29b4o2bo5b3ob3o2b3obo$6bobo2b2o2bob3o2bo7bo12bo2bo11bob2o2bob3o3b2o2bo4bo2b5obo2bob2o2bo2b2obo2bo8bob3o9b7o4b7o9b3obo8bo2bob2o2bo2b2obo2bob5o2bo4bo2b2o3b3obo2b2obo11bo2bo12bo7bo2b3obo2b2o2bobo$8bo2bo5bob5obo5bo21b2o2bo4bo2b5obo2bob2o2b2o2bo3bo2b2o13b2o8bo5b9o7b4o7b9o5bo8b2o13b2o2bo3bo2b2o2b2obo2bo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One possibly interesting occurrence: I also searched unsuccessfully in B2458/S13467 with arbitrary-width c1-s2s and autoChoke ~200 MB, which reached w_pos 115. I then tried again with autoChoke ~1 GB, but it reached the same with w_pos and the exact same final shortest partial result:

Code: Select all

x = 229, y = 113, rule = B2458/S13467
196bo$191bo2bo$190bob3o$189bo2bo3bo$188bo2b3o$187bo2b2o$187bo3b2o$188b
ob4o$155bo21bo2bo8b2ob3o$143bo6bo2bo22bob3obo7b6o$141bo4bo2bob3o22bob
4ob6o5b3o$129bo10bobob3obo2bo3bo21bo2b2obob2o2bo4b4o$117bo6bo2bo12bobo
b4o2b3o27b2o5b2o7b3o4bo$115bo4bo2bob3o13bo3b2obob4ob2o24b3o2bo3b4o7bo$
114bobob3obo2bo3bo13bo3bo2bob3obobo19bobo2bobo3b3o2b2o3b3o$114bobob4o
2b3o18bo3b6o3b2o18b2o5bo3bobobo2b4o3bo$115bo3b2obob4ob2o16b2o5b3ob3o
15bob2o5bo2b5o3bo2b2o$117bo3bo2bob3obobo21bo2b5o13bob3o6bo2bobobob3o$
119bo3b6o3b2o14bobo2b4o3b3o10bo2b4o7bob3o2b2o3bo$121b2o5b3ob3o13b3obo
12bo3bo2bobobob2o8bob6obob2o2bo$128bo2b5o13b3o5b3o3b3obo4bo2b5o10b6o3b
3o$122bobo2b4o3b3o12b3o5b2o4b4obob2o4bob2o10bobo2b3o5b2o$122b3obo12bo
8b3obo2bobo6bob2o5b2ob4o9b4obo3bo3b2o$123b3o5b3o3b3obo6bobo2b3o8b4o2bo
4b2ob2o5bo3b5o4bobo2b3o$123b3o5b2o4b4ob12o9b2ob2o2b2obo2b3obo2bo6bob2o
5bobo2bo$122b3obo2bobo6b2obo2bobo2b5obobo3bo2b3obob3obo2b2o2b3o6b4o7bo
2b3o$109bo12bobo2b3o5bobobo4b3obobob2ob3obo3b3obo2bob2o2bob4o3bo5b3o7b
o3bo$107bo4bo2bo2bo2b7o7b2o8b3o2b3obob3obob2obo3b5o3bo3b2o8b2obo4bobo
3b3o$106bobob3obob3obo6b2o5b2obo4bob4o2b3o3b2obo3b5ob5o14bo4bo3bo3bo4b
o$106bobob4o2b4o14bobo5b3ob2o4b3obo4bo5bo2bob2o8bobo3b2obo3b3o3bo4b3o$
107bo3b2obo2b3o5bobo10b5ob4o3bo2bo4b2obo7b4o8b3obob3obob2o3bobo5bo$
109bo3bo2b3obo2bo12b4o2b6o2bo8b3o9b3o9b3ob3obo3b2o4bo5b3o$100bo10bo3b
2obo2b3o3b2o3bo2bobobobo4b2o2bo9b2o7b2ob2o9b3obobo3bo7bo2bo3bo3bo$93bo
2bo3b2o5bob3o4b6o3bo3b4obo2b4o5b2o3bo5bob3o5bo4b2o10b2o9bo6bo5b3o$92bo
b3obob3o4b3o3bobo5b2o4bo2b4o2bob3o4b3o4b6ob3o4bobo2b3o8b2ob3o15bob3o2b
o$92bob4ob5o4b2obob2o14bob3o3bob2o4b3o5bobo4b2o4bobobob2o6bo5bo17b2o6b
o$93bo2b2obob4o3b2o3b2o7bobo5bob2o5b2o5b2o5b3obo2b2o2bobo2bo2b2o5bobo
2bob3o2bo2bo2bo2bo4b2o$96b2o5b3o3b3obobo6b3obo5b2o5bobo4b2o6b3ob4o2b2o
5b3o5bobobob2o2b3obob3obob3o$97b3o2bob3obo2bo3bobo5b3ob3ob3o8b6o2bo3b
3ob3obob2o6b2o6bo2bo2b3o4bob4o2b2o2bo$95b2o2bobo2b4o7bob2o4b2obo2bob3o
7b2ob3obo4b3obo2bo2b3o6b2o8bo3bo5bo2bob2o2bo$93bo7bo2bob2o8bo7bo7b2o6b
ob4o2bo4bobo8b2o5b3o9bob3o3bo2b5o$92bobo2b2obo2b5o11b4o8b3o5bo3b2o3bo
15b2o5b3o10b2o5bo3bob2o$92bobobobobo3bob2o6bob2o3bo2b2o5b3o5bo2b2o5bo
2b2o9b3o6b2o7bob3obobobo3b4o$93bo2bo3bo3b4o4bo5bo2b4o3bo3b2o6bo2b3o4b
3o10b3o6b2o7b2ob2o5bo4b3o$58bo36bo4bo2b2ob2o3bobobo2bob2o2b3o5b2o7bo2b
o3b2o2b3o9b2o5b3o6b2obob3o3bo2b2ob2o$46bo6bo2bo35b2obo5bo2b4o3bobob2ob
ob2obo2bo4b3o8bob3o6bo10b2o5b3o6b2o4bo5bo4b2o$44bo4bo2bob3o34bobobo6bo
bob2o4bo2b3o3b2o5bo2b3o9bo3bo2b2ob3o7b3o6b2o7b3o2b3o4bo2b3o$43bobob3ob
o2bo3bo31bo4bo7b5o6b4o2b3o9b2o13bobobo2bo8b3o6b2o7bo2b3o2b3obobob2o$
43bobob4o2b3o32bo2bo3bo8bob2o7b2obo2b2o9b2o14bo5b3o7b2o5b3o6b3ob3obo2b
o2bo2b2o$44bo3b2obob4ob2o27bobobobobo8b4o4bobobo2bob2o8b3o16bob3o2b6ob
2o5b3o5bo4bob2o8b3o$46bo3bo2bob3obobo25bobobob2o2bo5b2ob2o4b2o6b3o8b3o
20b3obobo2b3o6b2o4bo4b5o9b2o$48bo3b6o3b2o19bo2bobo2bo2b2o7bob4o3b2obo
6b2o9b2o15b2o2bo4b3ob4o6b2o4bo4b5o9b2o$50b2o5b3ob3o16bo4b2o5b3o6bo3b2o
bo2b2o2b5ob2o9b2o14bobobo4bo4bob2o5b3o5bo4bob2o8b3o$57bo2b5o10bo2bo3b
2ob2o6b2o5bo2bo3bo4b4obo2b3o8b3o13bo4bo3bo4b5o2bo2b3o6b3ob3obo2bo2bo2b
2o$51bobo2b4o3b3o8bob3o5b3o6b2o5bo4bo3b2o4b3ob4o6bo2b2o11bo2bo3bo3bo4b
4obo5b2o7bo2b3o2b3obobob2o2bo$51b3obo12bo3bo2b2o3bobo2b2o5b3o6bob3o5bo
7bob2o5bobob2o2bo7bobobobobo4bo5bo2bo5b2o7b3o2b3o4bobobobo$52b3o5b3o3b
3obo3b3obob2obob2o5b3o7b2o3bobo2b3o3b5o5bobobobo9bobo2b2obo5b3o2b3o2bo
2b3o6b2o4bo5bo2bo3bo$49bob4o5b2o4b4obob2ob2obob2o2bobo3b3obo4b4obob2ob
ob2o4b5o6bo4bo10bo6bo3b2o2bob2o3b2obob2o6b2obob3o3bo2bo4bo$49b3obobo2b
obo6bob2o3b4o3bobo4b4obo2b8o3bobo2bo6bob2o8bobo2bo10b2o2bo2bo7b2obob3o
2b2o2bo4b2ob2o5bo3bobobo$41bo6b2ob3o2b3o8b4o2b3ob3o3bo3b2o2b6ob3o2b3o
5b4o4b4o4bob3obo9bob3o3bo4bo5bob2o2b2o2bobo6bob3obobobo4b2obo$39bo4bo
2bob8o11b3o2b2o4bo3bo3b2obo5b3obobo2bo3b2o3bobo3b3o4b3o3bo7bo5b3obo16b
2o4bo9b2o5bo7bo2bo$38bobob3obo6b4obobo7b2obobo3bo3bobo4b2o6bob4o5bo8b
2obob2o3b2ob2o2bo6bobobo4bobo9b2o2bob3o4bo8bob3o3bo5bo2bo$38bobob4o2bo
6b2o7bo4bo2b4o3b3obo4bobobo2b7o7bo6b3o2b2o2bob5obo6bobob2obo4bo6bo3b3o
b3o5bo3bo2bo4bobobo4bobobo$39bo2bob2o8bob3o4bob3o5bo2bob2o3bo7b2obo5b
2o13b4o2bobo2bo6bo7bo2b3obobobobo3bobo2bo4b2o6b4obo2bo4b2o2bo2bobobo2b
o$41b5o7bo4bobo2bobobo5b3o3b2o2bo6b4o6b2o13bob2o4bo8bo2bo7b4obob2o2b2o
2bobob3o2b3o4b2obo3bo7b2o6bo3bo$42bob2o6bo2bo4b2obo5bo2b2o3bo6bo5bob2o
5b3o12b5o4bo8bo11b2obo2b2o2b3obo2bo5b3o2bo4b2o2bo6b3o8bobo$42b4o6bo7b
3o4b3obob2o4bo5b9o5b3o10bo2bob2o2bobo2bo3bobo8bobobo3b3o3b3o7b4obo3bo
2b3obo6b3o10bo2bo$43b2obo3bobo6b4o4b4o15bobo2b3o6b2o9bobob4o2b2o2bob4o
bo8b2o7b2o3b3o7b3o2bo7b3o2bo5b2o10bo2b2o2bo$41b2obo2b4obo6bob2o5b3o2bo
12b3obob2o6b2o9bobob3obob2o3bobo3bo7b2obo6b2o4b2o8bo3bo7b3o8b2o11bob3o
$39bo8bo3bo5b5o5b2obo15b3o2b2o5b3o10bo4bo2b3o5b2o2bo4bo2b2o2b8o4b2o8b
3obo8b2o7b3o12bo4b2o$38bobo2bob2ob2o2bo5b4obo2bobo2bo13b2ob2o2bobo2bo
2b2o12bo6b2o5b3obo2bo5b3o2bob4o3b3o9bo2bo8b2o7b3o16b2o3bo$38bobobob2o
2b3obo6bobo2b3o4bo2bo8bo4b2o4bobobob2o2bo16b2o6b3o2bobob2o6b3ob2o3b3o
9b3o2bo5b3o8b2o15bob3o$39bo2bo2b3o4bo2bo3b6o7bo4bo4bobo2b3o4bobobobobo
17b3o6b3o3bo4bo3b3ob4o4b2o8b2o3b2obo3b3o5bob3o14bo4bo$41bo3bo5bo2bob3o
5b2o7bob3obo2bobobob2o5bo2bo3bo17b3o7b2o5bo2bobo3b6o4b2o8b2obob3ob5obo
2bo4b2o13bo2bo4bo$42bob3o4bo3b2o17b2o3b2obo2bo2b2o7bo4bo18b2o7b2o9b2o
2bo4b2o3b3o9b2ob3obob3o2bobobobob2o2bo10bo$31bo11b2o4bobo4b2o7bobo2bo
4b2o2b3o5b3o8bobobo18b2o6b3o12bo5b2o3b3o6bob3obobo3b2o3bobo2b2obobo10b
obo$29bo6bo2bo4b2o3b2o2bobo4bo3bob2obob3o6b2o6b2o9b2obo17b3o6b3o10bobo
4b3o4b2o6b2ob2o7bo5bo8bo10b2o2bo$28bobob5obob3o5b2obob2o3b3obo2b4o2b2o
2bo4b2o6b2o12bo2bo14b3o7b2o8bo3bo4b3o4b2o5b2obob3o13b2o2bobo2bo7b2obob
2o$17bo6bo3bo2b2ob4o2b2o2bo3bobo2b2o3b4obobob2o2bo7b3o5b3o2bo7bo2bo17b
2o7b2o7bobobo2bo3b2o3b3o5b2o4bo16b3obo10bobo2b3o4bo$15bo4bo2bob3o4b3ob
2o2bo11b3o5b2o2b5o10b3o5b2obo8bobobo17b2o6b3o7bobobo6b2o3b3o6b3o2b3o9b
o3b2o3bo14bo5bo$14bobob3obo2bo3b2obob4o9b2o4b2o4bob8o9b3obo2bobo2bo8bo
bobo2bo13b3o6b3o8bo2bo5b3o4b2o6bo2b3o2b10obo2b2o2bo2bo9b2o4b3o$14bobob
4o2b3o4b7o7bo3b3ob2o3bo7b2obo8bobo2b3o4bo2bo6bo3bo15b3o7b2o10bo2bo3b3o
4b2o5b3ob3obo2bobo2b4obo6bo6bo2bo4b4o3bo$15bo3b2obob4obo6b2o6bobo2bo2b
3o2bo2bo7bo5bo2b7o7bo4bo5bobo16b2o7b2o7b2obo7b2o3b3o4bo4bob2o3b3obobob
2o2bo5bob5obobo2b2o2b2o$17bo3bo2bob3obo5b2o5bo2bob3o2b2o2bo6bobo3b5obo
6b2o7bob3obob3obo16b2o6b3o6bobobo7b2o3b3o3bo4b5o4b3o2b4o9b2ob4o2bobob
2o$19bo3b6o2b7o3bo2bo2bo4b2obobo6b2obob2ob4o17b2o3b3o3bo2bo12b3o6b3o5b
o4bo6b3o4b2o3bo4b5o4b3o2b4o10b3ob2o2bobo4bo$21b2o5b3obob4o2bobobo6b2ob
o2bo7b2o3b3ob2o8bobo4b4obob3obo2bo7bo2bo2bob2o7b2o3bo2bo3bo6b3o4b2o4bo
4bob2o3b3obobob2o2bo7bob4o3bo3bob2o$28bo3b3ob2o2bobobo6b2o3bo2bo5bobo
2bob3obo7b2ob8o3bob2obobo6bob3obo2b2o7b2o2bobobobobo7b2o3b3o5b3ob3obo
2bobo2b4obo12b3o5b3ob3o5bo2bo$19bobo5b3o2bob4o3bo2bo2bo4b3obo10bob5obo
6bobob2ob3o2b3o4b2o2bo6bob4o2b3o6b3o2bobo2b2obo2bo4b2o3b3o6bo2b3o2b10o
bo2b2o8b3obo16b2o$5bo2bo8bo9bo7b3o5bo2bob3o3bobo10bob4o4b6o4b3obobo2bo
3b3o2bo7bo2b2o3b2o6b3o3bo7bo5b3o4b2o6b3o2b3o9bo3b2o9bobo2b4o3bo3b5o3b
2o$4bob3obo2bo2bobobob7o5bob2o6bobo2bo2bo3bo7bo3bo2bo3b2obob5o2bob4o5b
o2b2o3bo9b2o3b2o7b2o5b2o2bobo5b3o4b2o5b2o4bo16b3o3bo2b6o2bo3bob4obo4b
2o3bo$4bob4ob3obo2bob4ob5o3bo2b2o2bo4bo3b3obobo2bo3bo8b3o4b3o4b8o7b3o
4b6ob4o2b3o7b2o7b3obo6b2o3b3o5b2obob3o15bo2b4obo8b3o2b2o2b3obobob3o$5b
o2b2ob4o2bo2b3o4b4o2bo2bobo8b2o4bobo5bobob3ob2o3bo2b2ob5o6b2o8b2o5bobo
2b4obo2b2o6b3o6b2o3bo6b2o3b3o6b2ob2o16b3o2b4o7b2obo2b3obo4b2o3bo2b2o$
8b2o2b3o3bo2bo3bo3b3obo4bo13bo2bo5bobob2o7bobob5o8b2o2bo5b2o5b3obo3bo
2bob2o6b3o6b2obobo5b3o4b2o6bob3obobo12bo3b2ob2o5bo4b4ob2o4b2obo2b4o3bo
$9b3ob2o4bob3o3bo5bo4bo2bo3bobo3bo2bo2bo4bo2bo3bo5bo6bobobo2bobobo6b3o
6b3o8b3o7b2o5b3o3bo5b3o4b2o9b2o15b3o3b4o4bobo2bo3b4o4b2o2b2o3b3o$9bo3b
2o5bobo2b2obo3bo2bo3bo5b3obo2bobo9b4o9bo6b2ob3o3bo6b3o6b3o9b2o7b2o5bob
3obo6b2o3b3o8bob3o13bo5bob2o4bobobo5b3o5b3o7bo$8b3o2bobo6b6o4bo7bob3ob
3obobobo5bob2o3bo16bob2o5bo2bo4b2o7b2o9b2o6b3o9bobo6b2o3b3o7bo3bo6bo6b
3o3b5o5bo2bo3b2ob2o2bobo5b3o4bo$8bo6bobo4bo2b2obobobo8b2o3b2obo2bo2bo
2bo10bo17b2o5bo6b2o7b2o8b3o4bo2b2o7bo3bo5b3o4b2o5bo2bo2b3o2bo8bo5b5o7b
o2bo4b2o2b2o4b4o$7b3o5bob2o2b3o3bo4bo2bo3b4obo2bo3bo4b3o3bo23b4o5bob6o
6b3o8b3o3bobob2o2bo3bobobo2bo3b3o4b2o4bobobob2o2b3o7b3o5bob2o4b2obo4bo
2bobob2o4b3o$7bo8bo4bo3bo3bobo2bob6obobo6bob3o3bo12bo12b5o5b2ob3obo2bo
2b3o9b2o3bobobobo5bobobo7b2o3b3o4bobo2bob3o4bo5bo7b4o3bobobo10b3o5bo$
6b3o10b4o4b3obo3bob3obo3bo4b2o4b2o4b2o9b2o7bo5b4o5b3obo2b3ob3obo2bo5b
2o4bo4bo6bo2bo7b2o3b3o5bo5bo5b2obo2b3o5b2ob2o2bo4bo9b4o5b3o$6bo12b5ob
3o3bo5b2o6bo2bo4bo10b9o5bo2bob3o4b3o4bob6o3b2o2bobob7o6bobo2bo6bo2bo4b
3o4b2o7b2ob3o4b3ob3o5bo2b3obo2bo3bo9bob2o6bo$5b3o13b7obobo5bo3b2o3bo3b
o6bobo3b2obo2b2o4b4obo2b2o4bob3o2b9obobo3bobo2bob4o2bob3obo10bob2o3b2o
bo3b2o9b2o7b2ob3obobo3b4o2bobobobo8b5o6b3o$5bo14bobob3ob2obo4b4o3b2obo
10b3obo2b3obobobobobo3bo2bo4bo7b4o2b2ob2o6bo3b3ob2o2b3o3bo11bo6bo2b5o
8b3obobo3b2o2b2o5b2o3b3o2bo3bo8b5o7bo$4b3o12bo2b3o2bo4bo2bo3bo2bobobo
11b3obo2b3o4b2o2b2o2bo6bo2bo3b4obobobo11b3ob3obobob2o2bo7bo6b3o5b4o8b
2ob2ob2o3b3ob3o8bo3bo4bo5bo3bob2o7b3o$4bo8bo5bo2bob2o4bobobo6bo4bo11b
2obo2b3obo3b2o2b3obo6bo6b3o4bo4bobo8b5o2b6obo6bob3ob3o2bob2o3b2o5bo3bo
4b3obo6bobobo3b3o3bobobo4bob2ob4o8bo$3b3o5bo5bobo7b2o3bobo7bo3bo7bo4bo
3b2obo2b5o3b3o2bo5bob2o3bo3b2o5b2ob6o6b3o7bo2bo3bobobob3obo4bo2b2o4bob
2o4bo2b3o4bo4b2ob4o6b2o2bo3bobo2b4o8b3o$3bo6bobob4obo4bo4bobo2bo5b2o5b
o5bob3o6b5ob4o3b3o9b2o4b3o4b5obobobo2b2o4bo8bo2bob3o6bob2o2bo2bob3o4bo
bo2b2o3b3obobo6bob2o2b2o10b3o5bob2o9bo$2b3o5bobob2o3bo4b2obobobo2bo3bo
4b3obobo2bo2bo2bob3o9b2o4b2o10b3o3bo2bo4b3o3b3obo2b6o7bo3b2o3bobob5o6b
ob2o2bobo6bob2obo2b2o9b2o9bob3o3bob6o9b3o$2bo8bo3bobobo2bob3obo3bobo2b
obo2b2obo2b2obo2b3o2b2o2bo5bo2b2o4b2o10bo2b2ob3ob2o4b3o2b3o3bob5o7bob
3obob3ob5o8b2o2b2o6bo3b5o3bo6bo3bo7b5obob3o2b2obo9bo$b3o9bo3b2o2bob4o
3bobobo2bobobob8o2b2o3b3obo5bob4o3b3o9b4obob4o2b2o5bob3o7b4o7b2ob2obo
5bob2o8bobob2o4bo2bo2bobo4b2obo3bo3b2obo6b3ob2obob2o3bo4bo5b3o$bo7bob
3o3b2o3b3ob3ob2o2bo3bo2bo2b7o3b2o3b2obo5bob3obo2b3o8bo8bob3o2b2o3bo2b
2o5bo3b3o7b4o5bob3obo10b3o3bobobob4obobo3b2o2bo3b3ob5o3bo9bo3b4obo4bo$
3o4bo7bobobob3o4bobobobo5bo3b2o2b2obob4ob3o2bo5bo2bo2b4obo3bo2bo5bobob
7o2b3o3b2o4bobo9bob3ob3obo3b2obo10b4o3bobo2bo5b2o3bo5bo3b2o2b2o2bo5bo
3bo4b4o3b2o3b3o$o5bobobo3b2o3bob2o3bo5bobo2b2obo4bobobo2b2ob4ob3o13bob
o2b4obo2b5ob2ob2o6bo3b4o4bo2b2o3b5ob2o5b2o3bo4b10obobo3bo8b2obobo3b2ob
ob2ob3obobo6b2o2b2ob2obobobob3o3bo!

I wonder if this is related to what you said here:

amling wrote: ↑
October 31st, 2024, 3:02 pm
As autochoking happened it seems like it fixed upper parts of the pattern uniquely and it meant it could be much, much wider in lower parts of the pattern

Or maybe this rule doesn't have p1 photons, despite having that somewhat promising chaos and a large number of different smallish waves? I really can't decide if I think this rule is likely to have p1 photons or not.

-Matthias Merzenich

amling: Posts: 1154; Joined: April 2nd, 2020, 9:47 pm

Re: amling search program principles discussion / brain dump

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Post by amling » November 2nd, 2024, 5:09 am

Sokwe wrote: ↑
November 2nd, 2024, 4:01 am
Can you apply this same method to the following rules?
Code: Select all
B24678/S134568
B2478/S134568
B248/S13456

Not looking good for B24678/S134568:

The only self-forcing block I could find was this:

Code: Select all

****.
****.

With that forbidden there are still going to be f2b almost half planes:

Code: Select all

..........................................
..........................................
..........................................
..........................................
**...........**...........................
..*.........*..*..........................
...*.......*....*.........................
***.........****........................**
....*.....*......*.....................*..
***.........****....**................*...
...****.....***..*.*..*................***
.......*....***.***....*.............*....
..*.....*...*.*.***....***...**........***
........***.....***....***.***.....****...
........***...*.*.*....*.*.***.*..*.......
........***.........**.....***.*.*.....*..
........***.....*...**...*.*.*..*..*......
........***.........**..........**........
........***.........**.....*....**........
........***.........**..........**........
........***.........**..........**........

I could not find anything self-forcing in this. TBD digging through all the B8 and S8 stripped variants...

Better luck for B2478/S134568:

Both of these are self forcing:

Code: Select all

.****.
.****.

.**.
.**.

It requires moving up to U=3X to be able to forbid all alignments of the 2x6 block but then an f2b search with both the 2x4 and the 2x6 forbidden does terminate, with last partial:

Code: Select all

| .......................................................................................... |
| .......................................................................................... |
| ........................................................**................................ |
| .......................................................*..*............................... |
| ......................................................*....*.............................. |
| .......................**......................**...***....***...**....................... |
| ........................***...**................***.***....***.***........................ |
| ......................*.***.***...........**..*.***.***....*.*.***.*...................... |
| ...................**.*.***.***.*........*..*.*.***.***....*...*.*.*.**................... |
| ..................*..*..***.*.*.*.**....*....*..***.*.*..**......*..*..*.................. |
| ...................*.**.*.*...*..*..*..*..*.***.***.*...*...*.....*.....*................. |
| ................***............*.....*.**...***.***..*.**.**.*..*..*****.................. |
| ..........**...*....**..*....*..*****.....*.*.*.*.*.**.....*.*****.......*...**........... |
| .........*..*...*.**..*.*.**.*..*****..**.......*.......**.*.*****..*.*..*.***............ |
| ........*....*.**..*.*...*..*..**.*.*...**.***.*....**.*..*..*.*.*....*.**.***.*.......... |
| .......*..*.**........**......*****...*.***...***.****..*.*....*...*.*.....*.*.*.**....... |
| .. .. .. .. .. .. .. .. .. *. ** ** *. .* *. .* .. ** .. .. .. .. .. .. .. .. .. .. .. ..  |

So no finite c/1 ships in B2478/S134568.

Finally, B248/S13456 was somewhat of an adventure:

I noticed immediately that this block is self-forcing down:

Code: Select all

.**.
.**.

But the partials produced by normal f2b with it forbidden are pretty bad-looking:

Code: Select all

| .............................................................. |
| .............................................................. |
| ...............................**............................. |
| ..............................*..*............................ |
| .............................*....*........................... |
| ...........................***....***......................... |
| .........................*****....*****....................... |
| .......................*****.*....*.*****..................... |
| .....................*****.*.*....*.*.*****.......**.......... |
| ...................*****.*...**..**...*.*****...***........... |
| .................*****.*................*.*****.***.*......... |
| ...............*****.*........****........*.***.*.*.*.**...... |
| .............*****.*.........*....*.........*.*...*..*..*..... |
| ...........*****.*..........*......*...............*.....*.... |
| .........*****.*...........*..*..*..*....**.*....*..*****..... |
| .......*****.*...........***..*.*.**....*..****....******..... |
| .....*****.*...........******..*.....*...*.***.....**.*.*..... |
| ......**.*..............**.**..**..**.*.**.*.*.*..***.*.*..... |
| . . . * . . . . . . . . * . * * . . . . . . . . . . * . . . .  |

The interaction on the right and other partials suggest very strongly that the slanted edge is not gonna force itself. I decided to twist the geometry to match the slope, U=2X-Y (raw:2:-1:0:0:-1:1:0:0:1). Now to forbid the block is even more interesting:

Code: Select all

|   WW |
| .**. |
| .**. |
| WW   |

|     WW |
|   WWWW |
| W.**.W |
| W.**.W |
| WWWW   |
| WW     |

It would probably also work to figure out a self-forcing version of it that is aligned to the twisted geometry, but it's a neat demo of using wildcards in forbidden blocks. With that a search for the twisted f2b-ish geometry terminates with last partial:

Code: Select all

|                             .. |
|                           .... |
|                         ...... |
|                       ........ |
|                     .......... |
|                   ............ |
|                 .............. |
|               ................ |
|             .................. |
|           .................... |
|         ...................... |
|       ............**.......... |
|     .......**...***........... |
|   ..........***.***.*......... |
| ..........*.***.*.*.*.**...... |
| .......**.*.*.*...*..*..*...   |
| ......*..*..*......*.....*     |
| .......*.*...*.*...**.*.       |
| .....*..*..*..****....         |
| .......***...****..*           |
| .......***...**.*.             |
| .......*.*..***.               |
| .......*.**.**                 |
| ......**....                   |
| ..........                     |
| .......*                       |
| ......                         |
| ....                           |
| ..                             |

So no finite c/1 ships for B248/S13456.

Sokwe wrote: ↑
November 2nd, 2024, 4:01 am
On the other side of the project, your newest version of autoChoke has allowed me to find a ship in B2457/S1346(8) with an arbirtrary-width c1-s2s search with autoChoke ~50mb. I would say this new fast binary search autoChoke has at least been useful for me and my craptop.

I'm glad it's working out, at least in that way. I'm still a little nervous about merging it, having run some longer searches and seen a few more cases where the old behavior search got lucky and found a materially longer partial than an analogous new search. I guess at some point nearly every serious change I could make to it is going to make some search slower but it's a tough pill to swallow.

Sokwe wrote: ↑
November 2nd, 2024, 4:01 am
One possibly interesting occurrence: I also searched unsuccessfully in B2458/S13467 with arbitrary-width c1-s2s and autoChoke ~200 MB, which reached w_pos 115. I then tried again with autoChoke ~1 GB, but it reached the same with w_pos and the exact same final shortest partial result.

Yeah, I think that's just gonna be a fact of life for pretty much any version of autochoke stuff. In my original testing I believe I had cases where smaller memory limits found strictly deeper results. The construction of the searches simply does not make progressively bigger searches cover each other. More concretely a bigger memory limit could mean more stuff "gets by" early on in the search which then later forces the "bigger" search to autochoke more tightly.

amling: Posts: 1154; Joined: April 2nd, 2020, 9:47 pm

Re: amling search program principles discussion / brain dump

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Post by amling » November 2nd, 2024, 5:23 am

amling wrote: ↑
November 2nd, 2024, 5:09 am
Sokwe wrote: ↑
November 2nd, 2024, 4:01 am
Can you apply this same method to the following rules?
Code: Select all
B24678/S134568
B2478/S134568
B248/S13456
TBD digging through all the B8 and S8 stripped variants (of B24678/S134568)...

In B24678/S13456 (minus S8) this block is self-forcing down:

Code: Select all

****.
****.

...and with it forbidden f2b searches terminate:

Code: Select all

| .............................................................................................. |
| .............................................................................................. |
| ...............................**........**........**........**............................... |
| ..............................*..*......*..*......*..*......*..*.............................. |
| .............................*....*....*....*....*....*....*....*............................. |
| ..............................****......****......****......****.............................. |
| ............................*......*..*......*..*......*..*......*............................ |
| ..............................****......****......****......****.............................. |
| ..........................****....******....******....******....****.......................... |
| .........................*..........................................*......................... |
| ........................*.....*..*......*..*......*..*......*..*.....*........................ |
| .......................*..*........................................*..*....................... |
| ........................**.*......................................*.**........................ |
| ......................*.....*....................................*.....*...................... |
| ....................****..**......................................**..****.................... |
| .............**......***.*...*..................................*...*.***..................... |
| ............*..*...*.*.*.***......................................***.*.*.*...**.............. |
| ...........*....*........***.......**....................**.......***........*..*............. |
| .........****.*..*.*...*.*.*......*..*..................*..*......*.*.*...*.*....*............ |
| ..........***...**...........**..*....*................*....*..**...........**.*..*........... |
| ........*.*.*.*..........*...**.*..*.****............****.*..*.**...*..........*..***......... |
| ................**.**........**.**...***..............***...**.**............***..**.......... |
| ..........*...*..**..*.......**....*.*.*.*..........*.*.*.*....**.............**..**.*........ |
| .......**.*.****.**.*........**.**..........................**.**...........*.**..**.*.**..... |
| ......*..*...***.**.**.**....**.**...*...*.**....**.*...*...**.**........**.*.**..**..*..*.... |
| .....*.....***.****....****..*****.........**.**.**.........******........******..**.**.*..... |
| . . . . . . * . * * . . * . . * * . . . . . * . . * . . . * * * * . . . . * * * . * . . . . .  |

So no finite c/1 ships for B24678/S13456.

B2467/S134568 (minus B8) I covered earlier and both cover B2467/S13456 (minus B8 and S8).

EDIT: Nm, this post is mistaken. It's not wrong that there are no ships, but this rule was already covered in Sokwe's original sweep. There were no B8 or S8-stripped variants of B24678/S134568 that still need work.

Sokwe: Moderator; Posts: 3367; Joined: July 9th, 2009, 2:44 pm

Re: Life-like p1 photon project

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Post by Sokwe » November 2nd, 2024, 10:29 pm

amling wrote: ↑
November 2nd, 2024, 2:16 am
I tried similar for B2467/S1345 with less luck.

LaundryPizza03 wrote: ↑
November 2nd, 2024, 3:46 am
Regular LLSSS seems to give evidence that a finite ship exists, using c1-s2s:
Code: Select all
x = 33, y = 24, rule = B2467/S1345
o$ob2o6b2o8b2o$bo2bo4bo2bo6bo2bo$bobo4bo4bo4bo4bo$2bo2bo3b4o6b4o$2bo2b
obo6bo2bo6bo$o2b2o4b4o6b4o$2o4b3o4b6o4b4o$2o2b2o21bo$bo3bobo4bo6bo2bo
5bo$bo23b3o$2b2obo20b2o$2bo2bob2o13b2obobo$o5bo2bo11bo2b5o$o5bobo4b2o
7bob2ob2ob2o$2o3b5ob3o8b3obob3o$4ob2ob2o2b2obo2b2o2bobo3bobobo$ob2obob
obobobobobo2bo$bob3o3b3o3b3obo2bo7bo$3bobobobobobobobob2o$19b3obo$5bo
3bo3bo3bobobo2$19bo!
This is at height 30. There is probably a new component at higher width, but I need to go to bed now.

It looks promising up to w_pos 45, but then suddenly a large number of cells are forced, and continuing the search makes it quite clear that there are no ships in B2467/S1345. Here are the forced cells at w_pos 80 from running the type of search setup mentioned here in B2467/S13458 (note that any p1 photon in B2467/S1345 also works in B2467/S13458):

Code: Select all

Unique:
| ......................................................................................................................... |
| ......................................................................................................................... |
| ............................................................*...............................................?............ |
| ?...............................................?.........*.....................................?.........?.............. |
| ....................................?.........?...........***.*.....................?.........?...........???.?.......... |
| ?.?.....................?.........?...........???.?........*............?.........?...........???.?........?............? |
| ............?.........?...........???.?........?.........****.........?...........???.?........?.........????.........?.. |
| ?.........?...........???.?........?.........????......*..............???.?........?.........????......?..?...........??? |
| ..........???.?........?.........????......?..?........****.*.*........?.........????......?..?........??????.?........?. |
| ?.?........?.........????......?..?........??????.?.....**...........????......?..?........??????.?.....??.?.........???? |
| .........????......?..?........??????.?.....??.?........*.***......?..?........??????.?.....??.?........?????......?..?.. |
| ?......?..?........??????.?.....??.?........?????..........*.......??????.?.....??.?........?????......?..??.......?????? |
| .......??????.?.....??.?........?????......?..??......*.*****.*.....??.?........?????......?..??......???????.?.....??.?. |
| ?.?.....??.?........?????......?..??......???????.?..*.***..........?????......?..??......???????.?..?.???.?........????? |
| ........?????......?..??......???????.?..?.???.?.....*..*.*.*......?..??......???????.?..?.???.?.....?..?????......?..??? |
| ?......?..??......???????.?..?.???.?.....?..????*.....****........???????.?..?.???.?.....?..?????.....??????......??????? |
| ......???????.?..?.???.?.....?..?????.....??????....**..*****.*..?.???.?.....?..?????.....??????....?????????.?..?.?????? |
| ?.?..?.???.?.....?..?????.....??????....??????*?*.*........*.....?..?????.....??????....?????????.?..?.???.?.....?..????? |
| .....?..?????.....??????....?????????.?..?.???.?....*....****.....??????....?????????.?..?.???.?....??..?????.....??????? |
| ?.....??????....?????????.?..?.???.?....??..??*?*......*........?????????.?..?.???.?....??..?????.....??????....????????? |
| ....?????????.?..?.???.?....??..?????.....????.?.......****.*.*..?.???.?....??..?????.....??????....?????????.?..?.?????? |
| ?.?..?.???.?....??..?????.....??????....????***?*.*.....**......??..?????.....??????....?????????.?..?.???.?....????????? |
| ....??..?????.....??????....?????????.?..?.???.?........*.***.....??????....?????????.?..?.???.?....??..?????..?????????? |
| ?.....??????....?????????.?..?.???.?....??..??*?*..........*....?????????.?..?.???.?....??..?????.....??????.???????????? |
| ....?????????.?..?.???.?....??..?????.....????.?......*.*****.*..?.???.?....??..?????.....??????....????????????????????? |
| ?.?..?.???.?....??..?????.....??????....????***?*.*..*.***......??..?????.....??????....?????????.?..?.???.?.???????????? |
| ....??..?????.....??????....?????????.?..?.???.?.....*..*.*.*.....??????....?????????.?..?.???.?....??..????????????????? |
| ?.....??????....?????????.?..?.???.?....??..??*?*.....****......?????????.?..?.???.?....??..?????.....??????????????????? |
| ....?????????.?..?.???.?....??..????*.....????.?....**..*****.*..?.???.?....??..?????.....??????....????????????????????? |
| ?.?..?.???.?....??..?????.....??????....????***?*.*........*....??..?????.....??????....?????????.?..?.?????????????????? |
| ....??..?????.....??????....??????*?*.*..?.???.?....*....****.....??????....?????????.?..?.???.?....??..????????????????? |
| ?.....??????....?????????.?..?.???.?....??..??*?*......*........?????????.?..?.???.?....??..?????.....??????????????????? |
| ....?????????.?..?.???.?....??..??*?*.....????.?.......****.*.*..?.???.?....??..?????.....??????....????????????????????? |
| ?.?..?.???.?....??..?????.....????.?....????***?*.*.....**......??..?????.....??????....?????????.?..?.?????????????????? |
| ....??..?????.....??????....????***?*.*..?.???.?........*.***.....??????....?????????.?..?.???.?....????????????????????? |
| ?.....??????....?????????.?..?.???.?....??..??*?*..........*....?????????.?..?.???.?....??..?????..?????????????????????? |
| ....?????????.?..?.???.?....??..??*?*.....????.?......*.*****.*..?.???.?....??..?????.....??????.???????????????????????? |
| ?.?..?.???.?....??..?????.....????.?....????***?*.*..*.***......??..?????.....??????....????????????????????????????????? |
| ....??..?????.....??????....????***?*.*..?.???.?.....*..*.*.*.....??????....?????????.?..?.???.?.???????????????????????? |
| ?.....??????....?????????.?..?.???.?....??..??*?*.....****......?????????.?..?.???.?....??..????????????????????????????? |
| ....?????????.?..?.???.?....??..??*?*.....????.?....**..*****.*..?.???.?....??..?????.....??????????????????????????????? |
| ?.?..?.???.?....??..????*.....????.?....????***?*.*........*....??..?????.....??????....????????????????????????????????? |
| ....??..?????.....??????....????***?*.*..?.???.?....*....****.....??????....?????????.?.????????????????????????????????? |
| ?.....??????....??????*?*.*..?.???.?....??..??*?*......*........?????????.?..?.???.?....??.?????????????????????????????? |
| ....?????????.?..?.???.?....??..??*?*.....????.?.......****.*.*..?.???.?....??..??????.?????????????????????????????????? |
| ?.?..?.???.?....??..??*?*.....????.?....????***?*.*.....**......??..?????.....??????????????????????????????????????????? |
| ....??..?????.....????.?....????***?*.*..?.???.?........*.***.....??????....????????????????????????????????????????????? |
| ?.....??????....????***?*.*..?.???.?....??..??*?*..........*....?????????.?..?.???.?????????????????????????????????????? |
| ....?????????.?..?.???.?....??..??*?*.....????.?......*.*****.*..?.???.?.?..??.?????????????????????????????????????????? |
| ?.?..?.???.?....??..??*?*.....????.?....????***?*.*..*.***......??..?????....???????????????????????????????????????????? |
| ....??..?????.....????.?....????***?*.*..?.???.?.....*..*.*.*.....????????.?????????????????????????????????????????????? |
| ?.....??????....????***?*.*..?.???.?....??..??*?*.....****......?????????.??.???????????????????????????????????????????? |
| ....?????????.?..?.???.?....??..??*?*.....????.?....**..*****.*..?.?????????????????????????????????????????????????????? |
| ?.?..?.???.?....??..??*?*.....????.?....????***?*.*........*....??..????????????????????????????????????????????????????? |
| ....??..????*.....????.?....????***?*.*..?.???.?....*....****....???????????????????????????????????????????????????????? |
| ?.....??????....????***?*.*..?.???.?....??..??*?*......*.......?????????????????????????????????????????????????????????? |
| ....??????*?*.*..?.???.?....??..??*?*.....????.?.......****.*.*.????????????????????????????????????????????????????????? |
| ?.?..?.???.?....??..??*?*.....????.?....????***?*.*.....**.....???.?????????????????????????????????????????????????????? |
| ....??..??*?*.....????.?....????***?*.*..?.???.?........*.***....???????????????????????????????????????????????????????? |
| ?.....????.?....????***?*.*..?.???.?....??..??*?*..........*...?????????????????????????????????????????????????????????? |
| ....????***?*.*..?.???.?....??..??*?*.....????.?......*.*****.*.????????????????????????????????????????????????????????? |
| ???..?.???.?....??..??*?*.....????.?....????***?*.*..*.***.....?????????????????????????????????????????????????????????? |
| ?...??..??*?*.....????.?....????***?*.*..?.???.?.....*..*.*.*....???????????????????????????????????????????????????????? |
| ?.....????.?....????***?*.*..?.???.?....??..??*?*.....****.....?????????????????????????????????????????????????????????? |
| ..?.????***?*.*..?.???.?....??..??*?*.....????.?....**..*****.*.????????????????????????????????????????????????????????? |
| ?.?..?.???.?....??..??*?*.....????.?....????***?*.*........*...?????????????????????????????????????????????????????????? |
| ....??..??*?*.....????.?....????***?*.*..?.???.?....*....****....???????????????????????????????????????????????????????? |
| *.....????.?....????***?*.*..?.???.?....??..??*?*......*.......?????????????????????????????????????????????????????????? |
| ....????***?*.*..?.???.?....??..??*?*.....????.?.......****.*.*.????????????????????????????????????????????????????????? |
| ?.?..?.???.?....??..??*?*.....????.?....????***?*.*.....**.....?????????????????????????????????????????????????????????? |
| ..?.??..??*?*.....????.?....????***?*.*..?.???.?........*.***....???????????????????????????????????????????????????????? |
| ?.....????.?....????***?*.*..?.???.?....??..??*?*..........*...?????????????????????????????????????????????????????????? |
| ?...????***?*.*..?.???.?....??..??*?*.....????.?......*.*****.*.????????????????????????????????????????????????????????? |
| ???..?.???.?....??..??*?*.....????.?....????***?*.*..*.***.....?????????????????????????????????????????????????????????? |
| ???.??..??*?*.....????.?....????***?*.*..?.???.?.....*..*.*.*....???????????????????????????????????????????????????????? |
| ????..????.?....????***?*.*..?.???.?....??..??*?*.....****.....?????????????????????????????????????????????????????????? |
| ????????***?*.*..?.???.?....??..??*?*.....????.?....**..*****.*.????????????????????????????????????????????????????????? |
| ????.?.???.?....??..??*?*.....????.?....????***?*.*........*...?????????????????????????????????????????????????????????? |
| ???????.??*?*....???????...?????***?*.*..?.???.?....*....****....???????????????????????????????????????????????????????? |
| ????????????...??????????????????????.?????.??*?*......?.??....?????????????????????????????????????????????????????????? |
| ????????????????????????????????????????????????...??.??????????????????????????????????????????????????????????????????? |

This corresponds to partial results that look something like this:

Code: Select all

x = 82, y = 46, rule = B2467/S13458
67bo$55bo9bo$53bo11b3obo$53b3obo8bo$54bo9b4o$52b4o6bo$50bo11b4obobo$
31bo18b4obobo5b2o14bo$29bo21b2o10bob3o9bo$29b3obo17bob3o10bo10b3obo$
30bo12bo10bo6bob5obo8bo$28b4o9bo7bob5obo2bob3o11b4o$26bo14b3obo2bob3o
7bo2bobobo6bo$26b4obobo8bo5bo2bobobo5b4o9b4obobo$27b2o11b4o5b4o6b2o2b
5obo5b2o$27bob3o6bo8b2o2b5obo8bo8bob3o$30bo7b4obobo8bo4bo4b4o10bo$25bo
b5obo5b2o6bo4b4o6bo10bob5obo$24bob3o10bob3o6bo11b4obobo2bob3o$24bo2bob
obo10bo7b4obobo5b2o7bo2bobobo$19bo5b4o8bob5obo5b2o10bob3o5b4o$17bo5b2o
2b5obo2bob3o10bob3o10bo4b2o2b5obo$17b3obo8bo5bo2bobobo10bo6bob5obo8bo$
18bo4bo4b4o5b4o8bob5obo2bob3o6bo4b4o$16b4o6bo8b2o2b5obo2bob3o7bo2bobob
o6bo$14bo11b4obobo8bo5bo2bobobo5b4o9b4obobo$14b4obobo5b2o6bo4b4o5b4o6b
2o2b5obo5b2o$15b2o10bob3o6bo8b2o2b5obo8bo8bob3o$15bob3o10bo7b4obobo8bo
4bo4b4o10bo$18bo6bob5obo5b2o6bo4b4o6bo10bob5obo$13bob5obo2bob3o10bob3o
6bo11b4obobo2bob3o$12bob3o7bo2bobobo10bo7b4obobo5b2o7bo2bobobo$12bo2bo
bobo5b4o8bob5obo5b2o10bob3o5b4o$7bo5b4o6b2o2b5obo2bob3o10bob3o10bo4b2o
2b5obo$5bo5b2o2b5obo8bo5bo2bobobo10bo6bob5obo8bo$5b3obo8bo4bo4b4o5b4o
8bob5obo2bob3o6bo4b4o$6bo4bo4b4o6bo8b2o2b5obo2bob3o7bo2bobobo6bo$4b4o
6bo11b4obobo8bo5bo2bobobo5b4o9b4obobo$2bo11b4obobo5b2o6bo4b4o5b4o6b2o
2b5obo5b2o$2b4obobo5b2o10bob3o6bo8b2o2b5obo8bo8bob3o$3b2o10bob3o10bo7b
4obobo8bo4bo4b4o10bo$3bob3o10bo6bob5obo5b2o6bo4b4o6bo10bob5obo$6bo6bob
5obo2bob3o10bob3o6bo11b4obobo2bob3o$bob5obo2bob3o7bo2bobobo10bo7b4obob
o5b2o7bo2bobobo$ob3o7bo2bobobo5b4o8bob5obo5b2o10bob3o5b4o$o2bobobo5b4o
6b2o2b5obo2bob3o10bob3o10bo4b2o2b5obo!

It's fairly clear that these central columns are forced to continue in the above search, although I haven't yet tested to see if just the central columns are self-forcing on their own:

Code: Select all

| *.....****..... |
| ....**..*****.* |
| *.*........*... |
| ....*....****.. |
| *......*....... |
| .......****.*.* |
| *.*.....**..... |
| ........*.***.. |
| *..........*... |
| ......*.*****.* |
| *.*..*.***..... |
| .....*..*.*.*.. |
| *.....****..... |
| ....**..*****.* |
| *.*........*... |
| ....*....****.. |
| *......*....... |
| .......****.*.* |
| *.*.....**..... |
| ........*.***.. |
| *..........*... |
| ......*.*****.* |
| *.*..*.***..... |
| .....*..*.*.*.. |
| *.....****..... |
| ....**..*****.* |
| *.*........*... |
| ....*....****.. |
| *......*....... |
| .......****.*.* |
| *.*.....**..... |
| ........*.***.. |
| *..........*... |
| ......*.*****.* |
| *.*..*.***..... |
| .....*..*.*.*.. |
| *.....****..... |
| ....**..*****.* |
| *.*........*... |
| ....*....****.. |
| *......*....... |
| .......****.*.* |
| *.*.....**..... |
| ........*.***.. |
| *..........*... |
| ......*.*****.* |
| *.*..*.***..... |
| .....*..*.*.*.. |
| *.....****..... |
| ....**..*****.* |
| *.*........*... |
| ....*....****.. |
| *......*....... |
| .......****.*.* |
| *.*.....**..... |
| ........*.***.. |
| *..........*... |
| ......*.*****.* |
| *.*..*.***..... |
| .....*..*.*.*.. |
| *.....****..... |
| ....**..*****.* |
| *.*........*... |
| ....*....****.. |

Edit: I don't think I'm going to be able to prove that these columns are self-forcing. If there is a simple proof, it probably requires more memory than I have available.

Amling, can you please try to see if the following block is self-forcing in a B2467/S13458 c1-s2s search?

Code: Select all

....**..*****.*
*.*........*...

I tried the following input at arbitrary width, but I ran out of memory during w_pos 17:

Code: Select all

| AAAAAuuuuuuuuuuuuuuuBBBBB |
| ..WWW....**..*****.*WWW.. |
| ..WWW*.*........*...WWW.. |

I think this will force itself 12 cells down at around w_pos 24 to 26 and use 50 to 850 GB RAM.

If this succeeds, can you also double-check that the above block is indeed forced in an arbitrary-width from-zero B2467/S13458 c1-s2s search?

-Matthias Merzenich

amling: Posts: 1154; Joined: April 2nd, 2020, 9:47 pm

Re: Life-like p1 photon project

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Post by amling » November 3rd, 2024, 1:51 am

Sokwe wrote: ↑
November 2nd, 2024, 10:29 pm
Amling, can you please try to see if the following block is self-forcing in a B2467/S13458 c1-s2s search?
Code: Select all
....**..*****.*
*.*........*...
I tried the following input at arbitrary width, but I ran out of memory during w_pos 17:
Code: Select all
| AAAAAuuuuuuuuuuuuuuuBBBBB |
| ..WWW....**..*****.*WWW.. |
| ..WWW*.*........*...WWW.. |
I think this will force itself 12 cells down at around w_pos 24 to 26 and use 50 to 850 GB RAM.

I had a similar theory but only ran a very short search (less than to 8 GB even) and with a different initial slice (a different phase but also I took a bunch of other already-forced cells surrounding it) with no luck. Specifically the slice forced a bunch of cells below it but it seemed to be getting stuck forcing further. My best theory is that with specific support on the left side (allowed by the wildcard in the "A" columns) the middle column slices are not self-forcing.

I ran the proposed 2x15 block above in B2467/S13458 but before hitting 120 GB it only got so far as completing w_pos 21 and this last unique snapshot:

Code: Select all

Unique:
| ....**..*****.* |
| *.*........*... |
| ....*....****.. |
| *......?.??.... |
| ??.....*?**.??* |
| ?.????????????? |
| ?????????????.? |
| ??.??????..?.?? |
| ????.?????????? |
| ????.?.???????? |
| ??????????????? |
| ????.?????????? |
| ??????????????? |
| ???????.?.????? |
| ??????????????? |
| ??????????????? |
| ??????????????? |
| ??????????????? |
| ??????????????? |
| ??????????????? |
| ??????????????? |
| ??????????????? |

To run farther is gonna require waiting for the big machine to free up (and deciding we want to slip it to the front of the queue because it's likely to be a fast search one way or another).

I'm hoping instead to rule out that left-hand support using the "proj001" hacks but it's slow going. I upgraded the code to be able to do blocks that are taller than 2 (or rather taller than nh_w_size - 1 which is 2 for c1-s2s). It's hard to decide what size block to target though: too small and the proof doesn't pan out but too big and it will take forever to stabilize. Not to mention the endless possibilities of juggling even more iterations of the process to find some stable jointly-self-forcing set of blocks even if it's not produce by the initial from-zeros search directly.

Sokwe: Moderator; Posts: 3367; Joined: July 9th, 2009, 2:44 pm

Re: Life-like p1 photon project

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Post by Sokwe » November 3rd, 2024, 2:45 am

amling wrote: ↑
November 3rd, 2024, 1:51 am
I ran the proposed 2x15 block above in B2467/S13458 but before hitting 120 GB it only got so far as completing w_pos 21 and this last unique snapshot:
Code: Select all
Unique:
| ....**..*****.* |
| *.*........*... |
| ....*....****.. |
| *......?.??.... |
| ??.....*?**.??* |
| ?.????????????? |
| ?????????????.? |
| ??.??????..?.?? |
| ????.?????????? |
| ????.?.???????? |
| ??????????????? |
| ????.?????????? |
| ??????????????? |
| ???????.?.????? |
| ??????????????? |
| ??????????????? |
| ??????????????? |
| ??????????????? |
| ??????????????? |
| ??????????????? |
| ??????????????? |
| ??????????????? |
To run farther is gonna require waiting for the big machine to free up (and deciding we want to slip it to the front of the queue because it's likely to be a fast search one way or another).

This is about what I expect it to look like at w_pos 21. I think I might increase my estimate of the point at which it is forced to approximately w_pos 26 to 30, which might or might not be out of reach (I suggest using a different starting block below). When I ran the from-zero search it suddenly forced everything at about w_pos 46. Before that it hadn't forced very much. Since the block I gave shows up around w_pos 18, it might take the proposed search until w_pos 28 to reach the equivalent spot.

The following block is a little further along in the search, so it might reach a self-forcing point at a slightly lower w_pos:

Code: Select all

*......*.......
.......****.*.*

If you try that search again, I suggest you start with this block instead.

amling wrote: ↑
November 3rd, 2024, 1:51 am
I'm hoping instead to rule out that left-hand support using the "proj001" hacks but it's slow going. I upgraded the code to be able to do blocks that are taller than 2 (or rather taller than nh_w_size - 1 which is 2 for c1-s2s). It's hard to decide what size block to target though: too small and the proof doesn't pan out but too big and it will take forever to stabilize. Not to mention the endless possibilities of juggling even more iterations of the process to find some stable jointly-self-forcing set of blocks even if it's not produce by the initial from-zeros search directly.

If this works out, even better. I don't know how much anyone but me cares about this p1 photon project, so I would regard any search as low priority for the "big machine". If the "proj001"-style method doesn't work and you think it won't take too much time to try again with more memory, I would appreciate it.

-Matthias Merzenich

amling: Posts: 1154; Joined: April 2nd, 2020, 9:47 pm

Re: Life-like p1 photon project

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Post by amling » November 4th, 2024, 1:54 am

amling wrote: ↑
November 3rd, 2024, 1:51 am
I'm hoping instead to rule out that left-hand support using the "proj001" hacks but it's slow going...

I got B2467/S1345 with proj001 plus a few extra steps.

I had tried a few different block sizes which didn't work out quickly and eventually really put the effort in only when I was looking at 2x7. It's possible something earlier could have been made to work as well.

First is a from-zeros search with proj001 step1 configured to output at many depths. I let it run for a long time until I was convinced it stabilized at which point depths 18 and up agreed so I figured that was a good starting point. This produces 200 blocks which it mashes together like:

Code: Select all

| ..............***.*......*............*........*.*****.*......*.***......*.***.........**..............*...........*...........*..*.*.*......****.*.*........****........*.....****.............*....*....****......*...........*.....**..*****.*.............*.......*.......*....****......*.......*.*****.*......*.............*..........*.*****.*......*........**..*****.*......***.*..*.***.........***.*........****.*.*..*.***.........****.*.*.............***.*......**.......***.*......**......*....****......*......**..*****.*...........*....**..*****.*........*..............*.....*..........***.*.....****.............****.....****............*.*****.*..*.***..........*.*****.*........*.***.....****.............*.....***.*...........*......*.*****.*...... |
| .......*.......*.........***.*......****......*.***..............*.......*..*.*.*......*.***......*.*****.*......*........*.....****..........**...........*...........*.....**..*****.*......****......*...........****.*......***.*........*.........*....****......***.*......*...........***.*..*.***...........****.*.*......****.*.*..*.***...........****.*.*........*..........*.....*..*.*.*.......*....*.......**.......*..*.*.*.......**......*......*.....*.........*.***.....*.........*.***......*...........****.*........*.........*.*****.*........*.........*.......*......*.......***.*.......*......**..*****.*......*........**..*****.*......*.***.......*..*.*.*......*.***......*.........*....**..*****.*......****.....*.........*.*****.*..*.***........... |

I start a search from there with proj001 step2 but it didn't stabilize.

I added proj001 step1 at depth 1 to find out what new blocks were sticking around (and thus would need to be in any jointly-self-forcing set of blocks). I ran several more iterations of this: starting a search from a guessed set of blocks and adding/taking its proj001 step1 depth 1 stabilized output.

I realized later I could enable proj001 step1 at many depths and anything any of them stabilized with would need to be included anyway. It's a little iffy because it's hard to guess when something has stabilized but it doesn't quite matter for the end result.

What matters is I eventually collected 220 blocks which I have verified to be a superset of the original 200. In particular:

(*) Any FWAED (finite width at every depth) half plane starting from zeros has to made of those 200 blocks at depth 18. Note that this applies to finite ships if they exist. (EDIT: I've realized this step in these sorts of arguments is unnecessary: the presence of the all-zeros block in the jointly-self-forcing set is enough)

I mashed these 220 blocks together into an input file like:

Code: Select all

| ZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZZ!ZZZZZZ |
| ......!.......!......*!.......!......*!.....*.!.....**!.......!......*!.......!.....*.!.....**!.....*.!....*.*!....*..!....***!....***!.......!......*!.......!.....*.!......*!....*.*!....**.!....*..!...*...!...*...!...*.**!...*..*!...***.!...****!.......!.....*.!.....**!.......!....*.*!.....**!.....*.!...*.**!...**..!...*...!...*...!..*....!..*....!..*.***!..*****!..*..*.!..***.*!..****.!.......!....*..!....***!.......!...*.**!....***!....*..!..*.***!..**...!..*....!..*....!.*.....!.*.....!.*....*!.*..*.*!.*.*...!.*.*..*!.*.*...!.*.***.!.*.....!.**..**!.****..!.****.*!.*****.!.*..*.*!.***...!.***.*.!.***...!.****.*!.......!......*!.......!.....*.!.....*.!...*...!...**..!...****!.......!.......!.....**!......*!..*.***!...****!....*..!...*...!...*...!.*.***.!.**....!.*.....!.*.....!*......!*......!*.....*!*.....*!*..****!*....**!*..*.**!*.*....!*.*....!*.*..*.!*.*.*..!*.*.*..!*.*....!*.***..!*.***.*!*......!**.....!**.....!**..***!**.*...!**.*..*!**.*...!***....!***....!***.*..!***.*..!****...!****.*.!*****..!*****.*!****...!****.*.!****...!*......!*......!*......!*......!*..*.*.!*.*****!***....!***....!***.*..!***.*..!***....!****.*.!***....!.......!.....*.!.....**!.......!....*..!....*.*!..*....!..*....!..**..*!..****.!.......!......*!......*!....**.!.......!......*!.....*.!.*.*...!.*.*.*.!.****..!.*.****!.......!......*!.....*.!.......!.......!.....**!.......!..****.!.......!......*!.......!......*!.......!...*...!...*...!..*....!..*....!..*.*.*!.*.....!.*....*!.*.....!.*....*!.*.*.*.!.*****.!*.***..!**.....!**.....!**.*...!**.*..*!**.*.*.!**.*...!****...!****.*.!**.....!**.....!**.....!**.....!*......!*.....*!*....*.!*......!*......!*....**!*.*.*..!*.*.*.*!*......!*.....*!*......!*......!***.*..!***.*.*!*****..!*****.*!**.....!**.....!...... |
| ......!.......!.......!......*!......*!.......!......*!.....*.!.....*.!.....**!.....*.!.....*.!.....**!.......!.....**!.....*.!.....**!....*..!....*..!....*.*!....*.*!....***!....*..!....*.*!....***!.......!......*!......*!....***!....*..!....**.!...*...!...*...!...*...!...*.**!...*.**!...**..!...****!...*..*!...*.**!...***.!...****!.......!.....*.!.....*.!.....*.!...****!...*...!...**..!..*....!..*....!..*....!..*.***!..*.***!..**..*!..****.!..*..*.!..*.***!..***.*!..****.!.......!.....**!....*..!....*..!.......!......*!.....*.!....*..!...*...!.......!.......!.......!....*..!..****.!..*....!..*....!..*.*.*!..**...!.*.....!.*.....!.*....*!.*.....!.*..*.*!.*.....!.*.....!.*.....!.*.*...!.*.*..*!.*.*...!.*.****!.*.***.!.**..**!.*****.!.****..!.****.*!.*..*.*!.*.***.!.***.*.!.****.*!.......!......*!......*!....**.!......*!...*...!...*..*!.......!......*!.....*.!.......!......*!....*..!...*...!...*...!..*....!.......!.....**!.......!.......!......*!.....*.!.......!......*!.......!......*!.......!.......!...*...!...*...!..*....!..*....!..*****!.*.*...!.*.*.*.!.***...!.***.*.!.****..!.***...!.*.....!.*....*!.*.....!.*....*!.*.*.*.!.**....!.*****.!*......!*.....*!*.....*!*....**!*......!*..*.**!*......!*.....*!*......!*......!*.*....!*.*....!*.*..*.!*.*....!*.*.*..!*.*.*..!*.*****!*......!*......!*..****!*.***..!**.....!**.....!**.....!**.*...!**.*..*!**.*...!**.*.*.!**..***!***....!***....!***.*..!***.*..!***.*.*!*****..!*****.*!****...!****.*.!****...!***....!***....!***.*..!***.*..!***....!***....!*..*.*.!*......!*....**!*......!*.....*!*......!*....*.!*......!*......!*.*.*..!*.*.*.*!*.***..!*.***.*!**.....!**.....!**.....!**.*...!**.*..*!**.*...!**.....!**.....!***.*..!***.*..!****...!****.*.!**.....!**.....!**.....!**.....!*****..!*****.*!...... |

This uses the nifty new "refuse" wildcards to just place the 220 blocks separately as well as AF1-length bookends of zeros to initialize the edges.

Started with this set of 220 blocks proj001 step2 eventually fires. This means:

(*) Any FWAED half plane starting with a combination of the 220 blocks at depth 0 is forced to be be made of those same blocks at depth 1 (step2 waits until exactly this is true before running).

(*) By repeating argument inductively any FWAED half plane starting with a combination of the 220 blocks at depth 0 is made up of them globally.

(*) When proj001 step2 runs it computes forces from depth 0 to depth 0 and depth 0 to depth 1 but since the argument applies at each depth the forces are globally true in such an FWAED half plane.

(*) Buried in its output there is this cycle of 12 blocks that force each other downwards (and whose first block is included in the forced unique output in the earlier from zeros searches). Just those blocks, and just in their cycle order:

Code: Select all

Block #164:
  Cells:
    | *.***** |
    | .***... |
  Right neighbors: [142]
  Left neighbors: [135]
  Down neighbors: [92]
Block #92:
  Cells:
    | .***... |
    | ..*.*.* |
  Right neighbors: [186]
  Left neighbors: [189]
  Down neighbors: [132]
Block #132:
  Cells:
    | ..*.*.* |
    | ****... |
  Right neighbors: [141]
  Left neighbors: [163]
  Down neighbors: [181]
Block #181:
  Cells:
    | ****... |
    | ..***** |
  Right neighbors: [187]
  Left neighbors: [136]
  Down neighbors: [52]
Block #52:
  Cells:
    | ..***** |
    | .....*. |
  Right neighbors: [89]
  Left neighbors: [148]
  Down neighbors: [29]
Block #29:
  Cells:
    | .....*. |
    | ...**** |
  Right neighbors: [46]
  Left neighbors: [15]
  Down neighbors: [70]
Block #70:
  Cells:
    | ...**** |
    | .*..... |
  Right neighbors: [114]
  Left neighbors: [44]
  Down neighbors: [96]
Block #96:
  Cells:
    | .*..... |
    | .****.* |
  Right neighbors: [199]
  Left neighbors: [57]
  Down neighbors: [93]
Block #93:
  Cells:
    | .****.* |
    | ..**... |
  Right neighbors: [188]
  Left neighbors: [54]
  Down neighbors: [58]
Block #58:
  Cells:
    | ..**... |
    | ..*.*** |
  Right neighbors: [97]
  Left neighbors: [40]
  Down neighbors: [50]
Block #50:
  Cells:
    | ..*.*** |
    | .....*. |
  Right neighbors: [84]
  Left neighbors: [33]
  Down neighbors: [110]
Block #110:
  Cells:
    | .....*. |
    | *.***** |
  Right neighbors: [71]
  Left neighbors: [67]
  Down neighbors: [164]

So no finite c/1 ships in B2467/S1345. It's possible a more sophisticated analysis of the forces could produce a full classification of the almost half planes (presumably always made of those obvious columns we see, dragging each other) but I think I've had enough for the moment and reading the step2 output is a pain.

I'm hoping the same 220 blocks will work for B2467/S13458 and so I have started both steps to verify it in parallel (one from-zeros hoping to bound by those blocks and one starting with those blocks hoping for step2 to activate). Hopefully I'll be posting victory here shortly...

EDIT: Success for B2467/S13458: As indicated in another edit above, the first from-zeros search is unnecessary and I killed it. The step2 search started from the 220 blocks took somewhat more time and memory to complete with S8 included, I believe due to some small wick stretchers gumming up a lot of partials, but ultimately step2 did eventually trigger and its output includes the exact same cycle of 12 blocks. Combined with Sokwe's earlier from-zero search showing that block is forced even with S8 we've got no finite c/1 ships in B2467/S13458.

LaundryPizza03: Posts: 2596; Joined: December 15th, 2017, 12:05 am; Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

Re: Life-like p1 photon project

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Post by LaundryPizza03 » November 4th, 2024, 9:38 pm

B24/S0257 is looking very good — it may even be possible to assemble a complete ship using manual work and JLS. I've tried s2s in LLSSS up to width 57.

Code: Select all

x = 57, y = 60, rule = B24/S0257
36bo$29bo2bo2bo3bo$28bo3bobobobo$26bo3b2obobob2o$26bo4bo2bobobo$28bobo
4bo3bo$29b2o5bo14bo$27b2obo16bo2bo3bo$27bo3bo15bobobobo$28b3ob15obobob
2o$25bob4o16bobobobo$24bo4b3o15bo2bo3bo$22bo3bo3bo20bo$22bo4b2o$24bob
3o$20bob2o4bo$7bo3bo8bobo2bo3bo$6bo3bo12b2o$4bo3b3o11b3o$4bo4b2o9bo3bo
$6bobo3bo2bo2bo2bo3bo24bo$7b2obobobo3bo30bo3bo$5b2obo2bobobob2o29bobob
o$5bo3b2obobob3o25bo2bobob2o$3bob2o4bobobobo2bo23bobobobobo$3bo3b2o2bo
2bo6b23obobobo3bo$2b2obo9bo28bo2bo2bo$o3bo2bo12b23o2bo$o2bobobobo2bo6b
o24b2o$2bobobobo3bobo2bo25b3o$4bo2bo2b2obo3bo23bo3bo$4b2obo3bo2bob2o
18bo2bo2bo3bo$6bobobo7bo16bo3bo$2bobo2bob2o5bo17bobob2o$2bobo3bobo5bo
13bo2bobob3o4bo$6b2o3bo6bo11bobobobobo2bo2bobo$4b2o2bo10b11obobobo6b2o
bo3bo$2bo2b2o23bo2bo2bo7bobobo$2bo2b2o11b11o2bo8bobo2bob2o$4b2o2bo8bo
12b2o8bobo3bobo$6b2o3bo3bo13b3o12b2o3bo$2bobo3bobo4bo4bo6bo3bo10b2o2bo
$2bobo2bob2o6bo2bobo2bo2bo3bo7bo2b2o$6bobobo7b2obo3bo14bo2b2o$4b2obo3b
o8bobob2o16b2o2bo$3bo2bobo10bobob3o2bo15b2o3bo$bo4bo11bobobobo2bo3bo8b
obo3bobo$bo12bo2bobobo7b4o7bobo2bob2o$3bo10bobobobobo7b2o12bobobo$4b
10obobobo2b2o6bob2o8b2obo3bo$14bo2bo2bo3b6o6bo4bo2bobo$3b10o2bo6bo7bo
2bobo3bo4bo8bo$2bo11b2o7bo6b2o2b2o3bo9bo2bo3bo$o12b3o16bob2o5bo7bobobo
bo$o6bo3bo3bo15bobobo6b7obobob2o$2bo4bobo2bo3bo13bobo3bo12bobobobo$3b
4obo2b3ob2obo10bobobo7b4ob2o2bobo3bo$7bo2b3o4bo9bo3bo8bo6b3obobo$2b3ob
o2b4obo2bo7bo2bobob2obo3bob2obo2b2o2bo$bo6b4o2bob12ob2o5b4o5b2ob2o6bo!

B246/S157(8) with s2s likely forces a self-forcing component on the front edge:

Code: Select all

20241103 02:39:17 [INFO] Unique:
20241103 02:39:17 [INFO] | ...................................... |
20241103 02:39:17 [INFO] | ...................................... |
20241103 02:39:17 [INFO] | .................................???.. |
20241103 02:39:17 [INFO] | ............................??.???.... |
20241103 02:39:17 [INFO] | ...........................???**??.... |
20241103 02:39:17 [INFO] | ...........................?***????... |
20241103 02:39:17 [INFO] | .......................??.?****??*??.. |
20241103 02:39:17 [INFO] | ......................???*****?*?*?... |
20241103 02:39:17 [INFO] | ......................?***?....???.... |
20241103 02:39:17 [INFO] | ..................*..?****?...?.??.... |
20241103 02:39:17 [INFO] | .................*.*****?????????*.?.. |
20241103 02:39:17 [INFO] | .................****?...?????????.?.. |
20241103 02:39:17 [INFO] | .............*..*****??.??????????.... |
20241103 02:39:17 [INFO] | ............*.*****???????????????.?.. |
20241103 02:39:17 [INFO] | ............****....??????????????.?.. |
20241103 02:39:17 [INFO] | ........*..*****...?????????????????.. |
20241103 02:39:17 [INFO] | .......*.*****?*????????????????????.. |
20241103 02:39:17 [INFO] | .......****....?????????????????????.. |
20241103 02:39:17 [INFO] | ...*..*****...?.????????????????????.. |
20241103 02:39:17 [INFO] | ..*.*****???????????????????????????.. |
20241103 02:39:17 [INFO] | ..****....??????????????????????????.. |
20241103 02:39:17 [INFO] Firstest:
20241103 02:39:17 [INFO] | ...................................... |
20241103 02:39:17 [INFO] | ...................................... |
20241103 02:39:17 [INFO] | ...................................*.. |
20241103 02:39:17 [INFO] | ............................*....*.... |
20241103 02:39:17 [INFO] | ...........................*.*****.... |
20241103 02:39:17 [INFO] | ...........................******.*... |
20241103 02:39:17 [INFO] | .......................*..*****.**.... |
20241103 02:39:17 [INFO] | ......................*.******.*.*.... |
20241103 02:39:17 [INFO] | ......................****......**.... |
20241103 02:39:17 [INFO] | ..................*..*****....*.**.... |
20241103 02:39:17 [INFO] | .................*.*****.*...*.*.*.... |
20241103 02:39:17 [INFO] | .................****....*..*..*.*.... |
20241103 02:39:17 [INFO] | .............*..*****...*.*..*..**.... |
20241103 02:39:17 [INFO] | ............*.*************...*.**.... |
20241103 02:39:17 [INFO] | ............****.....***.*..**.*.*.... |
20241103 02:39:17 [INFO] | ........*..*****......**......*.**.... |
20241103 02:39:17 [INFO] | .......*.*****.*......*......*..**.... |
20241103 02:39:17 [INFO] | .......****....*............*..*.*.... |
20241103 02:39:17 [INFO] | ...*..*****...*..*..........*...**.... |
20241103 02:39:17 [INFO] | ..*.*****.*...*..............*.**.*... |
20241103 02:39:17 [INFO] | ..****....*....*.**...........****.... |
20241103 02:39:18 [INFO] Random partial:
20241103 02:39:18 [INFO] | ...................................... |
20241103 02:39:18 [INFO] | ...................................... |
20241103 02:39:18 [INFO] | ...................................*.. |
20241103 02:39:18 [INFO] | ............................*....*.... |
20241103 02:39:18 [INFO] | ...........................*.*****.... |
20241103 02:39:18 [INFO] | ...........................******.*... |
20241103 02:39:18 [INFO] | .......................*..*****.**.... |
20241103 02:39:18 [INFO] | ......................*.******.*.*.... |
20241103 02:39:18 [INFO] | ......................****......**.... |
20241103 02:39:18 [INFO] | ..................*..*****....*.**.... |
20241103 02:39:18 [INFO] | .................*.*****.*...*.*.*.... |
20241103 02:39:18 [INFO] | .................****....*..*.*.**.... |
20241103 02:39:18 [INFO] | .............*..*****...*.*..*.*.*.... |
20241103 02:39:18 [INFO] | ............*.*************....*.*.... |
20241103 02:39:18 [INFO] | ............****.....***.*..**..**.... |
20241103 02:39:18 [INFO] | ........*..*****......**......*.**.... |
20241103 02:39:18 [INFO] | .......*.*****.*...*.*.......*.*.*.... |
20241103 02:39:18 [INFO] | .......****....*..*.***.....*..*.*.... |
20241103 02:39:18 [INFO] | ...*..*****...*..*.*.**.*..*..*.**.... |
20241103 02:39:18 [INFO] | ..*.***********...*...*....*...*.*.... |
20241103 02:39:18 [INFO] | ..****.....***..**.*..**.**.*.**.*.... |

How do I check for myself using llsss-recentering?

Code: Select all

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

LaundryPizza03 at Wikipedia

Sokwe: Moderator; Posts: 3367; Joined: July 9th, 2009, 2:44 pm

Re: Life-like p1 photon project

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Post by Sokwe » November 4th, 2024, 10:40 pm

LaundryPizza03 wrote: ↑
November 4th, 2024, 9:38 pm
B24/S0257 is looking very good — it may even be possible to assemble a complete ship using manual work and JLS. I've tried s2s in LLSSS up to width 57.

It definitely looks good s2s, but f2b looks poor. Also, your partial seems to not even use the S7 neighborhood. I'm not sure about this rule overall. The nearby unsolved rules most likely to have ships are B248/S02578 and B2478/S0258. Are those even more promising? I don't have time to test more at the moment.

LaundryPizza03 wrote: ↑
November 4th, 2024, 9:38 pm
B246/S157(8) with s2s likely forces a self-forcing component on the front edge...

How do I check for myself using llsss-recentering?

I think you would need to find a chunk that you think is self-forcing and set up a search somewhat like the following:

amling wrote: ↑
October 21st, 2024, 5:43 pm
As I was fiddling with this I noticed that the back tended to force itself plus one space very quickly and so on a whim I decided to try the back alone with no restriction on what was in front of it either:
Code: Select all
| AAAAAuuuuuuuuBBBBB |
| ..WWW**.***.WWWW.. |
| ..WWW...**..WWWW.. |
This quickly produces snapshots like:
Code: Select all
20241021 14:36:28 [INFO] Unique:
20241021 14:36:28 [INFO] | **.***.? |
20241021 14:36:28 [INFO] | ...**... |
20241021 14:36:28 [INFO] | .**.***. |
20241021 14:36:28 [INFO] | ....**.. |
20241021 14:36:28 [INFO] | *.**.*** |
20241021 14:36:28 [INFO] | .....**. |
20241021 14:36:28 [INFO] | ?*.**.** |
20241021 14:36:28 [INFO] | ?.....** |
20241021 14:36:28 [INFO] | ????*??* |
20241021 14:36:28 [INFO] | ???.?.?* |
20241021 14:36:28 [INFO] | ???????? |
...which shows those 7 columns have forced themselves 2 rows down, no matter what (finite) pattern was in front of or behind them in the first two rows.

You may need to expand the 'u' window to see enough in this case. I'm not the best to explain the details, as I only tried it in much simpler cases. The command line would look like

Code: Select all

./rlife llsss-recentering c1_s2s 1.in --rule 'B246/S157' XX

amling wrote: ↑
November 2nd, 2024, 2:16 am
Rather than recompile with AF2=5 to be able to forbid [blocks]easily I just lazily used c1-f2b with U=2X...
Code: Select all
raw:2:0:0:0:-1:1:0:0:1
...and can then forbid the various alignments and flips of them

Sorry, I'm having some trouble forbidding blocks (maybe?). Suppose, as a test, I wanted to forbid (in the lazy way) the following two blocks in an arbitrary-width B24/S0257 f2b search:

Code: Select all

| ...*.* |
| **.*.. |

| *.*... |
| ..*.** |

What exactly would my search setup be?

-Matthias Merzenich

amling: Posts: 1154; Joined: April 2nd, 2020, 9:47 pm

Re: Life-like p1 photon project

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Post by amling » November 4th, 2024, 10:53 pm

Sokwe wrote: ↑
November 4th, 2024, 10:40 pm
amling wrote: ↑
November 2nd, 2024, 2:16 am
Rather than recompile with AF2=5 to be able to forbid [blocks]easily I just lazily used c1-f2b with U=2X...
Code: Select all
raw:2:0:0:0:-1:1:0:0:1
...and can then forbid the various alignments and flips of them
Sorry, I'm having some trouble forbidding blocks (maybe?). Suppose, as a test, I wanted to forbid (in the lazy way) the following two blocks in an arbitrary-width B24/S0257 f2b search:
Code: Select all
| ...*.* |
| **.*.. |

| *.*... |
| ..*.** |
What exactly would my search setup be?

With U=2X one of the two alignments of 2x6 blocks would straddle 4 tiles wide so it's not enough. At U=3X all three alignments are contained w/in 3 tiles wide. To forbid two blocks I need to make the 3 alignments of each of them e.g.:

Code: Select all

$ grep '' f[12][abc].block
f1a.block:| ...*.* |
f1a.block:| **.*.. |
f1b.block:| W...*.*WW |
f1b.block:| W**.*..WW |
f1c.block:| WW...*.*W |
f1c.block:| WW**.*..W |
f2a.block:| *.*... |
f2a.block:| ..*.** |
f2b.block:| W*.*...WW |
f2b.block:| W..*.**WW |
f2c.block:| WW*.*...W |
f2c.block:| WW..*.**W |

After that something like:

Code: Select all

rlife llsss-recentering-wao raw:3:0:0:0:-1:1:0:0:1 --rule 'B24/S0257' '@zero' --wao-left-pad 00 --wao-right-pad 00 --wao-idx ALL --filters forbid_block:f1a.block,forbid_block:f1b.block,forbid_block:f1c.block,forbid_block:f2a.block,forbid_block:f2b.block,forbid_block:f2c.block XX

Most of that is a normal WAO search from zeros. The interesting bits are (a) that I have replaced c1-f2b with a version of it with U replaced with 3X and (b) I have added a big "--filters" to forbid the block in each of the six files.

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