Oscillators in Life-like cellular automata

For discussion of other cellular automata.
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Sokwe
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Oscillators in Life-like cellular automata

Post by Sokwe » November 21st, 2021, 6:38 am

This topic is for discussion of oscillators in Life-like cellular automata.

A database of such oscillators is available here.
-Matthias Merzenich

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wwei47
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Re: Oscillators in Life-like cellular automata

Post by wwei47 » November 21st, 2021, 10:36 am

Bismuth and I found some P3 cold phoenices. Each cell is on for exactly two generations.

Code: Select all

x = 62, y = 63, rule = B35/S135
37bo$37bo$37bo$32b2ob2o$5b2o3bo3b2o14bo2b4o$4bobo3bo3bobo13bo2b2o26bo
$5bo4bo4bo15bo29bo$6b2ob3ob2o14bo31bo$8b2ob2o18bo24b2ob2o$6b2ob3ob2o14b
o24bo2b4o$7bo2bo2bo15bo2bobo19bo2b2o$9b3o18b2o3b2o18bo$10bo19b2o3b2o16b
o$9bobo20bobo2bo17bo$10bo26bo15bo$2b3o2b2obob2o2b3o16bo17bo2bobo$2bo2b
ob2obob2obo2bo18bo16b2o3b2o$4bo5bo5bo18bo18b2o3b2o$2bo6bobo6bo16bo2bo
bo15bobo2bo$2o8bo8b2o15b2o3b2o18bo$bo7b3o7bo16b2o3b2o16bo$7bo2bo2bo24b
obo2bo17bo$6b2ob3ob2o28bo15bo$8b2ob2o28bo14b2o2bo$6b2ob3ob2o28bo10b4o
2bo$5bo4bo4bo25bo12b2ob2o$4bobo3bo3bobo21b2o2bo10bo$5b2o3bo3b2o20b4o2b
o10bo$36b2ob2o12bo$35bo$35bo$35bo$11bo$11bo$bo9bo9bo$bo4bob2obob2obo4b
o$o2b2ob2obo3bob2ob2o2bo$2b2o2bobob3obobo2b2o$5bob9obo$5b2obo2bo2bob2o
$4b3o2bobobo2b3o17bo$5b2o2bo3bo2b2o17bobo$4b2o2bob3obo2b2o16b2obo$b2o
bo6bo6bob2o16bob2o$bobobo5bo5bobobo17bobo$2bo8bo8bo19bo$5bo11bo$5b2o9b
2o$2bob3o9b3obo$2bo17bo$2bo17bo$3b2o13b2o$3bo2b2o7b2o2bo$6bob2o3b2obo
$5bo2bo5bo2bo$4bobo9bobo$3b3o11b3o$2bob2o11b2obo2$2b3o13b3o$3bo15bo$3b
o15bo$3bo15bo!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

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LaundryPizza03
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Re: Oscillators in Life-like cellular automata

Post by LaundryPizza03 » November 25th, 2021, 6:29 pm

Probably new; in two rules without any still lifes:

Code: Select all

#C B4/S4 - B4678/S0145678
x = 7, y = 7, rule = B4/S4
2bo2bo$6o$bo3b2o$bo3bo$2o3bo$b6o$bo2bo!

Code: Select all

#C B45/S4 - B345678/S04678
x = 10, y = 8, rule = B45/S4
4bo$4b3o$2b2obo2bo$3o2b2obo$bob2o2b3o$bo2bob2o$3b3o$5bo!

Code: Select all

#C B4/S4 - B4678/S0345678
x = 9, y = 8, rule = B46/S4
3bo2bo$b3o2b3o$2bob2obo$2bo4bo$2bo2bo$2o4b2o$b6o$bo4bo!
I'm not aware of any oscillators in any rule with B23/S1. p2 partial in a one such rule.

Code: Select all

x = 25, y = 24, rule = B2378/S1678
2bo4bo3bo2bo2bo$4bo2b5o5b3o$o3bo2bobobo2bo2bo$6b3ob3o3b5o$b2o4bo2b2o3b
o2b3o$5bo10b2obo$5bo3b2o2b3o2bo$2o6bo2b4o4bo$b2ob3ob2o2b2o3b2o$bob2o2b
3ob2o2b3o$b3o4b4o2bobo2bo$2o4b2o2bo3bo4b2o$6bo6b2o3b3o$2bobobob2o3b2o
2b2obo$o3b2o7b2o2bobo$2bo6bobo2bo4bo$5b2o7b2o3bo$2o2b2o2bo2bo3b2o$b3ob
o3b5o2b2o$b2o2bo2b2obobo3b2o$4obo4b2ob2o2bo$3b3o2bo2bo2b2o3bo$bob4o5b
5o5b3o$3bo2bo2bo2bo3bo2bo2bo!

Code: Select all

x = 126, y = 29, rule = B2378/S1678
2bo4bo3bo2bo2bo3bo2bo2bo3bo2bo2bo3bo4bo13bo4bo3bo2bo2bo3bo2bo2bo3bo2bo
2bo3bo2bo2bo3bo2bo2bo3bo$4bo2b5o5b5o5b5o5b5o2bo6bo3bo6bo2b5o5b5o5b5o5b
5o5b5o5b5o2bo$o3bo2bobobo2bo2b2obo2bobo2bo3bo2bo2b3o3bo3bo2b5o2bo3bo3b
obo2bo2bob3obobo2bobobo2bo2bo6bo6bo2bo2bob2o3bo$6b2ob4o2b2o2b2o7b6o4bo
9bo2bob2o3bo8b2o4b2obobobo3b3ob3o3b4o9b4o3b3o$b2o4bobo4b2o3bobo4bo2bob
ob2o2bo5b3o4b3o8b3o2b2o3b3o2bobo2bo4bo9bo3b5o3bo5bo3bo2b3o$8b7o2bo3b2o
6b3obob3ob3obob2o4b2o2bo3b4ob2o6b3ob3o2bo7bo9bo2b4o8b2o4b2obo$3b2o2b3o
7bo3b3o2bo2bo3b4o6b3o9bo2b3obo2bo3b4o2b2ob4ob3o3bo2b2o4b2o2b2o5b3ob5ob
ob3obo$5obo2b2o6bo5b2o3b4ob2o12b2ob2o3bo5b3o3b4o5bo2b2o10bob2ob4ob2o2b
3o5b3ob3o3bobo$bobo2bo2bo3b2o2bo3bob4o2b2o2bo2bo3bo3bo5b3o5bo9bobobo4b
2ob2o5bo2b2ob3obobo3b6o3bo4b3ob5o$b2o4b2o3b2o6b2ob3obo2b3o3bo2b3o2bo4b
obo2bo3bo4bo4b3ob2o4b2o3bo3bo5bobob3o5b2o4b5o2bob3o$bob2o2b2o2b3o3b3o
2b2o3bo3b2o15b4o7bo3bo3b3o3b2o2b5ob2o2bo3bob3obobobo8bo2b2o3bobobo$4o
3b2o7bo2bo4b3o6bo4b2ob2o4bo2bo3bobo2b2obo3bobo2b5obo2b4o3bo3b2ob3o3b3o
bob2ob2ob4o2bobob2obo$3bo3b2o3bo3bobo3bo7bo2b2ob4ob4ob2obo8b4obob5ob2o
2bo2bob2o7bobo6bo3b3ob3ob3o2bobo2b3ob2o$6bobo3bo3bobo3bo3bo3bo2b3obobo
bobob3obo3bo3bobobob3o2b5obo3bobo3bo3bobo3bo7bobobobobobobo2b5ob3o$obo
3bobo2bo3bo2bo2bo4bo2bo2b2obob2o2b2o2bobobo3bo2b2ob2o2bobob2o5bo3bo5bo
2b2obo3bo3bobob2o2b2o2b2o2bo3bobo3bo$6bobo3bo3bobo3bo3bo3bo2b3obobobob
ob3obo3bo3bobobob3o2b5obo3bobo3bo3bobo3bo7bobobobobobobo2b5ob3o$3bo3b
2o3bo3bobo3bo7bo2b2ob4ob4ob2obo8b4obob5ob2o2bo2bob2o7bobo6bo3b3ob3ob3o
2bobo2b3ob2o$4o3b2o7bo2bo4b3o6bo4b2ob2o4bo2bo3bobo2b2obo3bobo2b5obo2b
4o3bo3b2ob3o3b3obob2ob2ob4o2bobob2obo$bob2o2b2o2b3o3b3o2b2o3bo3b2o15b
4o7bo3bo3b3o3b2o2b5ob2o2bo3bob3obobobo8bo2b2o3bobobo$b2o4b2o3b2o6b2ob
3obo2b3o3bo2b3o2bo4bobo2bo3bo4bo4b3ob2o4b2o3bo3bo5bobob3o5b2o4b5o2bob
3o$bobo2bo2bo3b2o2bo3bob4o2b2o2bo2bo3bo3bo5b3o5bo9bobobo4b2ob2o5bo2b2o
b3obobo3b6o3bo4b3ob5o$5obo2b2o6bo5b2o3b4ob2o12b2ob2o3bo5b3o3b4o5bo2b2o
10bob2ob4ob2o2b3o5b3ob3o3bobo$3b2o2b3o7bo3b3o2bo2bo3b4o6b3o9bo2b3obo2b
o3b4o2b2ob4ob3o3bo2b2o4b2o2b2o5b3ob5obob3obo$8b7o2bo3b2o6b3obob3ob3obo
b2o4b2o2bo3b4ob2o6b3ob3o2bo7bo9bo2b4o8b2o4b2obo$b2o4bobo4b2o3bobo4bo2b
obob2o2bo5b3o4b3o8b3o2b2o3b3o2bobo2bo4bo9bo3b5o3bo5bo3bo2b3o$6b2ob4o2b
2o2b2o7b6o4bo9bo2bob2o3bo8b2o4b2obobobo3b3ob3o3b4o9b4o3b3o$o3bo2bobobo
2bo2b2obo2bobo2bo3bo2bo2b3o3bo3bo2b5o2bo3bo3bobo2bo2bob3obobo2bobobo2b
o2bo6bo6bo2bo2bob2o3bo$4bo2b5o5b5o5b5o5b5o2bo6bo3bo6bo2b5o5b5o5b5o5b5o
5b5o5b5o2bo$2bo4bo3bo2bo2bo3bo2bo2bo3bo2bo2bo3bo4bo13bo4bo3bo2bo2bo3bo
2bo2bo3bo2bo2bo3bo2bo2bo3bo2bo2bo3bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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May13
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Re: Oscillators in Life-like cellular automata

Post by May13 » November 25th, 2021, 8:14 pm

As rlifesrc shows, there are 9 D8 symmetric p2 oscillators in rule B2378/S1678 and bounding box 39x39:

Code: Select all

x = 233, y = 101, rule = B2378/S1678
27bo2bo2bo2bo3bo2bo2bo3bo2bo2bo2bo19bo2bo2bo2bo3bo2bo2bo3bo2bo2bo2bo
18bo2bo2bo2bo3bo2bo2bo3bo2bo2bo2bo18bo2bo2bo2bo3bo2bo2bo3bo2bo2bo2bo$
25bob4o5b5o5b5o5b4obo15bob4o5b5o5b5o5b4obo14bob4o5b5o5b5o5b4obo14bob4o
5b5o5b5o5b4obo$27b3o2bo2bob3o3bo3b3obo2bo2b3o19b3o2bo2bob3o2bobo2b3obo
2bo2b3o18b3o2bo2bob3o2bobo2b3obo2bo2b3o18b3o2bo2bob3o2bobo2b3obo2bo2b
3o$24b4obo4b2obobo3bo3bobob2o4bob4o13b4obo4b2obobo7bobob2o4bob4o12b4ob
o4b2obobo7bobob2o4bob4o12b4obo4b2obobo7bobob2o4bob4o$25b2o2bo2b4obob2o
2bo2b2obob4o2bo2b2o15b2o2bo2b4o2b2o2bobo2b2o2b4o2bo2b2o14b2o2bo2b4o2b
2o2bobo2b2o2b4o2bo2b2o14b2o2bo2b4o2b2o2bobo2b2o2b4o2bo2b2o$25b5ob3obob
4o5b4obob3ob5o15b5ob3obobob2o5b2obobob3ob5o14b5ob3obobob2o5b2obobob3ob
5o14b5ob3obobob2o5b2obobob3ob5o$24b2o7bobob2o3b3o3b2obobo7b2o13b2o7bob
ob3obo3bob3obobo7b2o12b2o7bobob3obo3bob3obobo7b2o12b2o7bobob3obo3bob3o
bobo7b2o$29bobob3obo3b5o3bob3obobo23bobob3ob2ob2obob2ob2ob3obobo22bobo
b3ob2ob2obob2ob2ob3obobo22bobob3ob2ob2obob2ob2ob3obobo$26bob2o3b2o5bob
obobo5b2o3b2obo17bob2o3b2ob2o3b5o3b2ob2o3b2obo16bob2o3b2ob2o3b5o3b2ob
2o3b2obo16bob2o3b2ob2o3b5o3b2ob2o3b2obo$24bo3b5obob2ob2obobob2ob2obob
5o3bo13bo3b6o19b6o3bo12bo3b6o19b6o3bo12bo3b6o19b6o3bo$27b2o2b5o2b3ob3o
b3o2b5o2b2o19b2o2b2o21b2o2b2o18b2o2b2o21b2o2b2o18b2o2b2o21b2o2b2o$26b
6o2b3obobobobobobob3o2b6o17b6o4b15o4b6o16b6o4b6o3b6o4b6o16b6o4b6o3b6o
4b6o$24b2o7bobo2bob2o3b2obo2bobo7b2o13b2o6bo2bo2b2o2b3o2b2o2bo2bo6b2o
12b2o6bo2bo2b2o2bobo2b2o2bo2bo6b2o12b2o6bo2bo2b2o2b3o2b2o2bo2bo6b2o$
25b7obo4b3o2bo2b3o4bob7o15b3ob4o2bobo2b2o3b2o2bobo2b4ob3o14b3ob4o2bobo
2bob3obo2bobo2b4ob3o14b3ob4o2bobo2bo5bo2bobo2b4ob3o$25b2o2b2o3b5obo2bo
2bob5o3b2o2b2o15b2obob2o3b2o13b2o3b2obob2o14b2obob2o3b2o4b2ob2o4b2o3b
2obob2o14b2obob2o3b2o4b5o4b2o3b2obob2o$25b5o3b2o2bo2bo2bo2bo2bo2b2o3b
5o15b6o4b2o4b2ob2o4b2o4b6o14b6o4b2o4b2ob2o4b2o4b6o14b6o4b2o5bobo5b2o4b
6o$24b2o2b2o2b8o3bo3b8o2b2o2b2o13b2o3bobo3bobo2bob3obo2bobo3bobo3b2o
12b2o3bobo3bobo2bob3obo2bobo3bobo3b2o12b2o3bobo3bobo3b5o3bobo3bobo3b2o
$31bo4bo13bo4bo26b3o2bobobo2b3o2bobobo2b3o24b3o2bo2b2o2bobo2b2o2bo2b3o
24b3o2bo2bobo5bobo2bo2b3o$30b6o6b3o6b6o21bobo3bo2b2o2b4ob4o2b2o2bo3bob
o16bobo3bo3b6o3b6o3bo3bobo16bobo3bo3bob3obobob3obo3bo3bobo$24bob3ob2o
2bo2b4obobob4o2bo2b2ob3obo13bo6b2o2b2o3b2o3b2o3b2o2b2o6bo12bo6b2o4bo2b
o2bo2bo2bo4b2o6bo12bo6b2o3bobobo5bobobo3b2o6bo$30b6o6b3o6b6o21bobo3bo
2b2o2b4ob4o2b2o2bo3bobo16bobo3bo3b6o3b6o3bo3bobo16bobo3bo3bob3obobob3o
bo3bo3bobo$31bo4bo13bo4bo26b3o2bobobo2b3o2bobobo2b3o24b3o2bo2b2o2bobo
2b2o2bo2b3o24b3o2bo2bobo5bobo2bo2b3o$24b2o2b2o2b8o3bo3b8o2b2o2b2o13b2o
3bobo3bobo2bob3obo2bobo3bobo3b2o12b2o3bobo3bobo2bob3obo2bobo3bobo3b2o
12b2o3bobo3bobo3b5o3bobo3bobo3b2o$25b5o3b2o2bo2bo2bo2bo2bo2b2o3b5o15b
6o4b2o4b2ob2o4b2o4b6o14b6o4b2o4b2ob2o4b2o4b6o14b6o4b2o5bobo5b2o4b6o$
25b2o2b2o3b5obo2bo2bob5o3b2o2b2o15b2obob2o3b2o13b2o3b2obob2o14b2obob2o
3b2o4b2ob2o4b2o3b2obob2o14b2obob2o3b2o4b5o4b2o3b2obob2o$25b7obo4b3o2bo
2b3o4bob7o15b3ob4o2bobo2b2o3b2o2bobo2b4ob3o14b3ob4o2bobo2bob3obo2bobo
2b4ob3o14b3ob4o2bobo2bo5bo2bobo2b4ob3o$24b2o7bobo2bob2o3b2obo2bobo7b2o
13b2o6bo2bo2b2o2b3o2b2o2bo2bo6b2o12b2o6bo2bo2b2o2bobo2b2o2bo2bo6b2o12b
2o6bo2bo2b2o2b3o2b2o2bo2bo6b2o$26b6o2b3obobobobobobob3o2b6o17b6o4b15o
4b6o16b6o4b6o3b6o4b6o16b6o4b6o3b6o4b6o$27b2o2b5o2b3ob3ob3o2b5o2b2o19b
2o2b2o21b2o2b2o18b2o2b2o21b2o2b2o18b2o2b2o21b2o2b2o$24bo3b5obob2ob2obo
bob2ob2obob5o3bo13bo3b6o19b6o3bo12bo3b6o19b6o3bo12bo3b6o19b6o3bo$26bob
2o3b2o5bobobobo5b2o3b2obo17bob2o3b2ob2o3b5o3b2ob2o3b2obo16bob2o3b2ob2o
3b5o3b2ob2o3b2obo16bob2o3b2ob2o3b5o3b2ob2o3b2obo$29bobob3obo3b5o3bob3o
bobo23bobob3ob2ob2obob2ob2ob3obobo22bobob3ob2ob2obob2ob2ob3obobo22bobo
b3ob2ob2obob2ob2ob3obobo$24b2o7bobob2o3b3o3b2obobo7b2o13b2o7bobob3obo
3bob3obobo7b2o12b2o7bobob3obo3bob3obobo7b2o12b2o7bobob3obo3bob3obobo7b
2o$25b5ob3obob4o5b4obob3ob5o15b5ob3obobob2o5b2obobob3ob5o14b5ob3obobob
2o5b2obobob3ob5o14b5ob3obobob2o5b2obobob3ob5o$25b2o2bo2b4obob2o2bo2b2o
bob4o2bo2b2o15b2o2bo2b4o2b2o2bobo2b2o2b4o2bo2b2o14b2o2bo2b4o2b2o2bobo
2b2o2b4o2bo2b2o14b2o2bo2b4o2b2o2bobo2b2o2b4o2bo2b2o$24b4obo4b2obobo3bo
3bobob2o4bob4o13b4obo4b2obobo7bobob2o4bob4o12b4obo4b2obobo7bobob2o4bob
4o12b4obo4b2obobo7bobob2o4bob4o$27b3o2bo2bob3o3bo3b3obo2bo2b3o19b3o2bo
2bob3o2bobo2b3obo2bo2b3o18b3o2bo2bob3o2bobo2b3obo2bo2b3o18b3o2bo2bob3o
2bobo2b3obo2bo2b3o$25bob4o5b5o5b5o5b4obo15bob4o5b5o5b5o5b4obo14bob4o5b
5o5b5o5b4obo14bob4o5b5o5b5o5b4obo$27bo2bo2bo2bo3bo2bo2bo3bo2bo2bo2bo
19bo2bo2bo2bo3bo2bo2bo3bo2bo2bo2bo18bo2bo2bo2bo3bo2bo2bo3bo2bo2bo2bo
18bo2bo2bo2bo3bo2bo2bo3bo2bo2bo2bo24$19bo49bo46bo44bo51bo$5bo4bo3bo9bo
3bo4bo21bo4bo3bo9bo3bo4bo18bo4bo3bo9bo3bo4bo16bo4bo3bo9bo3bo4bo23bo4bo
3bo9bo3bo4bo$7bo2b5o2bo3bo2b5o2bo25bo2b5o2bo3bo2b5o2bo22bo2b5o2bo3bo2b
5o2bo20bo2b5o2bo3bo2b5o2bo27bo2b5o2bo3bo2b5o2bo$3bo3bo3b2obo2bo3bo2bob
2o3bo3bo17bo3bo3b2obo2bo3bo2bob2o3bo3bo14bo3bo3b2obo2bo3bo2bob2o3bo3bo
12bo3bo3b2obo2bo3bo2bob2o3bo3bo19bo3bo3b2obo2bo3bo2bob2o3bo3bo$13b3o7b
3o37b3o7b3o34b3o7b3o32b3o7b3o39b3o7b3o$bo4bo3bo2b2o9b2o2bo3bo4bo13bo4b
o3bo2b2o9b2o2bo3bo4bo10bo4bo3bo2b2o9b2o2bo3bo4bo8bo4bo3bo2b2o9b2o2bo3b
o4bo15bo4bo3bo2b2o9b2o2bo3bo4bo$5bo4bo7b3o7bo4bo21bo4bo7b3o7bo4bo18bo
4bo7b3o7bo4bo16bo4bo7b3o7bo4bo23bo4bo7b3o7bo4bo$2b2o3bo2bo3b2obo3bob2o
3bo2bo3b2o15b2o3bo2bo3b2obo3bob2o3bo2bo3b2o12b2o3bo2bo3b2obo3bob2o3bo
2bo3b2o10b2o3bo2bo3b2obo3bob2o3bo2bo3b2o17b2o3bo2bo3b2obo3bob2o3bo2bo
3b2o$17b5o45b5o42b5o40b5o40bo6b5o6bo$10b3o4b2ob2o4b3o31b3o4b2ob2o4b3o
28b3o4b2ob2o4b3o26b3o4b2ob2o4b3o35bobo2b2ob2o2bobo$b2o2b3obo2bo4b2ob2o
4bo2bob3o2b2o13b2o2b3obo2bo4b2ob2o4bo2bob3o2b2o10b2o2b3obo2bo4b5o4bo2b
ob3o2b2o8b2o2b3obo2bo4b5o4bo2bob3o2b2o15b2o2b4o9b3o9b4o2b2o$2b2o5bo2bo
b2ob2ob2ob2obo2bo5b2o15b2o5bo2bob2ob2ob2ob2obo2bo5b2o12b2o5bo2bob2obo
3bob2obo2bo5b2o10b2o5bo2bob2obo3bob2obo2bo5b2o17b2o7bobobobo3bobobobo
7b2o$2b2o5b3o6b3o6b3o5b2o15b2o5b3o6b3o6b3o5b2o12b2o5b3o6b3o6b3o5b2o10b
2o5b3o6b3o6b3o5b2o17b2o5bo8b3o8bo5b2o$2bob2o27b2obo15bob2o27b2obo12bob
2o27b2obo10bob2o27b2obo17bob2o5bo3b2o2bo2b2o3bo5b2obo$b5obo3bo3bo3bo3b
o3bo3bob5o13b5obo3bo3bo3bo3bo3bo3bob5o10b5obo3bo3bo3bo3bo3bo3bob5o8b5o
bo3bo3bo3bo3bo3bo3bob5o15b5obobo19bobob5o$4bo2bo3bo2bobo2bo2bobo2bo3bo
2bo19bo2bo3bo2bobo2bo2bobo2bo3bo2bo16bo2bo3bo2bobo2bo2bobo2bo3bo2bo14b
o2bo3bo2bobo2bo2bobo2bo3bo2bo21bo2bo3bobo11bobo3bo2bo$15bo3bo3bo41bo3b
o3bo38bo3bo3bo36bo3bo3bo41bo3b5o3bo$2b2o3b5o15b5o3b2o15b2o3b5o7bo7b5o
3b2o12b2o3b5o15b5o3b2o10b2o3b5o7bo7b5o3b2o17b2o3b3obo4bo5bo4bob3o3b2o$
6bob5o5b3o5b5obo23bob5o13b5obo20bob3obo5b3o5bob3obo18bob3obo13bob3obo
25bob3obo3bobobobo3bob3obo$o5bobo3bob3obobob3obo3bobo5bo11bo5bobo3bob
4o3b4obo3bobo5bo8bo5bobobobob3obobob3obobobobo5bo6bo5bobobobob4o3b4obo
bobobo5bo13bo5bobobob2o2bo5bo2b2obobobo5bo$6bob5o5b3o5b5obo23bob5o13b
5obo20bob3obo5b3o5bob3obo18bob3obo13bob3obo25bob3obo3bobobobo3bob3obo$
2b2o3b5o15b5o3b2o15b2o3b5o7bo7b5o3b2o12b2o3b5o15b5o3b2o10b2o3b5o7bo7b
5o3b2o17b2o3b3obo4bo5bo4bob3o3b2o$15bo3bo3bo41bo3bo3bo38bo3bo3bo36bo3b
o3bo41bo3b5o3bo$4bo2bo3bo2bobo2bo2bobo2bo3bo2bo19bo2bo3bo2bobo2bo2bobo
2bo3bo2bo16bo2bo3bo2bobo2bo2bobo2bo3bo2bo14bo2bo3bo2bobo2bo2bobo2bo3bo
2bo21bo2bo3bobo11bobo3bo2bo$b5obo3bo3bo3bo3bo3bo3bob5o13b5obo3bo3bo3bo
3bo3bo3bob5o10b5obo3bo3bo3bo3bo3bo3bob5o8b5obo3bo3bo3bo3bo3bo3bob5o15b
5obobo19bobob5o$2bob2o27b2obo15bob2o27b2obo12bob2o27b2obo10bob2o27b2ob
o17bob2o5bo3b2o2bo2b2o3bo5b2obo$2b2o5b3o6b3o6b3o5b2o15b2o5b3o6b3o6b3o
5b2o12b2o5b3o6b3o6b3o5b2o10b2o5b3o6b3o6b3o5b2o17b2o5bo8b3o8bo5b2o$2b2o
5bo2bob2ob2ob2ob2obo2bo5b2o15b2o5bo2bob2ob2ob2ob2obo2bo5b2o12b2o5bo2bo
b2obo3bob2obo2bo5b2o10b2o5bo2bob2obo3bob2obo2bo5b2o17b2o7bobobobo3bobo
bobo7b2o$b2o2b3obo2bo4b2ob2o4bo2bob3o2b2o13b2o2b3obo2bo4b2ob2o4bo2bob
3o2b2o10b2o2b3obo2bo4b5o4bo2bob3o2b2o8b2o2b3obo2bo4b5o4bo2bob3o2b2o15b
2o2b4o9b3o9b4o2b2o$10b3o4b2ob2o4b3o31b3o4b2ob2o4b3o28b3o4b2ob2o4b3o26b
3o4b2ob2o4b3o35bobo2b2ob2o2bobo$17b5o45b5o42b5o40b5o40bo6b5o6bo$2b2o3b
o2bo3b2obo3bob2o3bo2bo3b2o15b2o3bo2bo3b2obo3bob2o3bo2bo3b2o12b2o3bo2bo
3b2obo3bob2o3bo2bo3b2o10b2o3bo2bo3b2obo3bob2o3bo2bo3b2o17b2o3bo2bo3b2o
bo3bob2o3bo2bo3b2o$5bo4bo7b3o7bo4bo21bo4bo7b3o7bo4bo18bo4bo7b3o7bo4bo
16bo4bo7b3o7bo4bo23bo4bo7b3o7bo4bo$bo4bo3bo2b2o9b2o2bo3bo4bo13bo4bo3bo
2b2o9b2o2bo3bo4bo10bo4bo3bo2b2o9b2o2bo3bo4bo8bo4bo3bo2b2o9b2o2bo3bo4bo
15bo4bo3bo2b2o9b2o2bo3bo4bo$13b3o7b3o37b3o7b3o34b3o7b3o32b3o7b3o39b3o
7b3o$3bo3bo3b2obo2bo3bo2bob2o3bo3bo17bo3bo3b2obo2bo3bo2bob2o3bo3bo14bo
3bo3b2obo2bo3bo2bob2o3bo3bo12bo3bo3b2obo2bo3bo2bob2o3bo3bo19bo3bo3b2ob
o2bo3bo2bob2o3bo3bo$7bo2b5o2bo3bo2b5o2bo25bo2b5o2bo3bo2b5o2bo22bo2b5o
2bo3bo2b5o2bo20bo2b5o2bo3bo2b5o2bo27bo2b5o2bo3bo2b5o2bo$5bo4bo3bo9bo3b
o4bo21bo4bo3bo9bo3bo4bo18bo4bo3bo9bo3bo4bo16bo4bo3bo9bo3bo4bo23bo4bo3b
o9bo3bo4bo$19bo49bo46bo44bo51bo!
Interestingly, there are no 41x41 p2 oscillators, but 43x43 exists.
One of these is infinitely extensible:

Code: Select all

x = 177, y = 99, rule = B2378/S1678
110bo4bo3bo2bo2bo3bo2bo2bo3bo4bo$112bo2b5o5b5o5b5o2bo$108bo3bo3b2obo2b
obob3obobo2bob2o3bo3bo$118b3o3bobobobo3b3o$106bo4bo3bo2bo4bo2bobo2bo4b
o2bo3bo4bo$110bo4bo7bo2b3o2bo7bo4bo$107b2o3bo2bo3b3ob4ob4ob3o3bo2bo3b
2o$124b2o3b2o$115b3o5b4ob4o5b3o$106b2o2b3obo2bo5bo2b3o2bo5bo2bob3o2b2o
$107b2o5bo2bob3obo2bobo2bob3obo2bo5b2o$107b2o5b3o7bobobobo7b3o5b2o$
107bob2o11bobob3obobo11b2obo$106b4o2bo3bo3bo4b5o4bo3bo3bo2b4o$109bo2bo
3bo2bobo3bo3bo3bobo2bo3bo2bo$112bo3bo3bo13bo3bo3bo$106bobo9bo17bo9bobo
$110b3ob3o21b3ob3o$108b2o2b3o2b2o17b2o2b3o2b2o$106b2o4b3o4b2o13b2o4b3o
4b2o$107b6ob6o15b6ob6o$107b2o2bo3bo2b2o15b2o2bo3bo2b2o$107b6ob6o15b6ob
6o$106b2o4b3o4b2o13b2o4b3o4b2o$108b2o2b3o2b2o17b2o2b3o2b2o$110b3ob3o
21b3ob3o$108bo9bobo13bobo9bo$106bo3bo3bo25bo3bo3bo$4bo4bo3bo2bo2bo3bo
2bo2bo3bo4bo43bo4bo3bo2bo2bo3bo3bobo2bo3bo2bo19bo2bo3bo2bobo3bo3bo2bo
2bo3bo4bo$6bo2b5o5b5o5b5o2bo47bo2b5o5b5o4bo3bo3bo2b4o13b4o2bo3bo3bo4b
5o5b5o2bo$2bo3bo3b2obo2bobob3obobo2bob2o3bo3bo39bo3bo3b2obo2bobob3obob
o11b2obo15bob2o11bobob3obobo2bob2o3bo3bo$12b3o3bobobobo3b3o59b3o3bobob
obo7b3o5b2o15b2o5b3o7bobobobo3b3o$o4bo3bo2bo4bo2bobo2bo4bo2bo3bo4bo35b
o4bo3bo2bo4bo2bobo2bob3obo2bo5b2o15b2o5bo2bob3obo2bobo2bo4bo2bo3bo4bo$
4bo4bo7bo2b3o2bo7bo4bo43bo4bo7bo2b3o2bo5bo2bob3o2b2o13b2o2b3obo2bo5bo
2b3o2bo7bo4bo$b2o3bo2bo3b3ob4ob4ob3o3bo2bo3b2o37b2o3bo2bo3b3ob4ob4o5b
3o31b3o5b4ob4ob3o3bo2bo3b2o$18b2o3b2o71b2o3b2o49b2o3b2o$9b3o5b4ob4o5b
3o53b3o5b4ob4ob3o3bo2bo3b2o15b2o3bo2bo3b3ob4ob4o5b3o$2o2b3obo2bo5bo2b
3o2bo5bo2bob3o2b2o35b2o2b3obo2bo5bo2b3o2bo7bo4bo21bo4bo7bo2b3o2bo5bo2b
ob3o2b2o$b2o5bo2bob3obo2bobo2bob3obo2bo5b2o37b2o5bo2bob3obo2bobo2bo4bo
2bo3bo4bo13bo4bo3bo2bo4bo2bobo2bob3obo2bo5b2o$b2o5b3o7bobobobo7b3o5b2o
37b2o5b3o7bobobobo3b3o37b3o3bobobobo7b3o5b2o$bob2o11bobob3obobo11b2obo
37bob2o11bobob3obobo2bob2o3bo3bo17bo3bo3b2obo2bobob3obobo11b2obo$4o2bo
3bo3bo4b5o4bo3bo3bo2b4o35b4o2bo3bo3bo4b5o5b5o2bo25bo2b5o5b5o4bo3bo3bo
2b4o$3bo2bo3bo2bobo3bo3bo3bobo2bo3bo2bo41bo2bo3bo2bobo3bo3bo2bo2bo3bo
4bo21bo4bo3bo2bo2bo3bo3bobo2bo3bo2bo$6bo3bo3bo13bo3bo3bo47bo3bo3bo69bo
3bo3bo$obo9bo17bo9bobo35bobo9bo73bo9bobo$4b3ob3o21b3ob3o43b3ob3o77b3ob
3o$2b2o2b3o2b2o17b2o2b3o2b2o39b2o2b3o2b2o73b2o2b3o2b2o$2o4b3o4b2o13b2o
4b3o4b2o35b2o4b3o4b2o69b2o4b3o4b2o$b6ob6o15b6ob6o37b6ob6o71b6ob6o$b2o
2bo3bo2b2o15b2o2bo3bo2b2o37b2o2bo3bo2b2o71b2o2bo3bo2b2o$b6ob6o15b6ob6o
37b6ob6o71b6ob6o$2o4b3o4b2o13b2o4b3o4b2o35b2o4b3o4b2o69b2o4b3o4b2o$2b
2o2b3o2b2o17b2o2b3o2b2o39b2o2b3o2b2o73b2o2b3o2b2o$4b3ob3o21b3ob3o43b3o
b3o77b3ob3o$obo9bo17bo9bobo35bobo9bo73bo9bobo$6bo3bo3bo13bo3bo3bo47bo
3bo3bo69bo3bo3bo$3bo2bo3bo2bobo3bo3bo3bobo2bo3bo2bo41bo2bo3bo2bobo3bo
3bo2bo2bo3bo4bo21bo4bo3bo2bo2bo3bo3bobo2bo3bo2bo$4o2bo3bo3bo4b5o4bo3bo
3bo2b4o35b4o2bo3bo3bo4b5o5b5o2bo25bo2b5o5b5o4bo3bo3bo2b4o$bob2o11bobob
3obobo11b2obo37bob2o11bobob3obobo2bob2o3bo3bo17bo3bo3b2obo2bobob3obobo
11b2obo$b2o5b3o7bobobobo7b3o5b2o37b2o5b3o7bobobobo3b3o37b3o3bobobobo7b
3o5b2o$b2o5bo2bob3obo2bobo2bob3obo2bo5b2o37b2o5bo2bob3obo2bobo2bo4bo2b
o3bo4bo13bo4bo3bo2bo4bo2bobo2bob3obo2bo5b2o$2o2b3obo2bo5bo2b3o2bo5bo2b
ob3o2b2o35b2o2b3obo2bo5bo2b3o2bo7bo4bo21bo4bo7bo2b3o2bo5bo2bob3o2b2o$
9b3o5b4ob4o5b3o53b3o5b4ob4ob3o3bo2bo3b2o15b2o3bo2bo3b3ob4ob4o5b3o$18b
2o3b2o71b2o3b2o49b2o3b2o$b2o3bo2bo3b3ob4ob4ob3o3bo2bo3b2o37b2o3bo2bo3b
3ob4ob4o5b3o31b3o5b4ob4ob3o3bo2bo3b2o$4bo4bo7bo2b3o2bo7bo4bo43bo4bo7bo
2b3o2bo5bo2bob3o2b2o13b2o2b3obo2bo5bo2b3o2bo7bo4bo$o4bo3bo2bo4bo2bobo
2bo4bo2bo3bo4bo35bo4bo3bo2bo4bo2bobo2bob3obo2bo5b2o15b2o5bo2bob3obo2bo
bo2bo4bo2bo3bo4bo$12b3o3bobobobo3b3o59b3o3bobobobo7b3o5b2o15b2o5b3o7bo
bobobo3b3o$2bo3bo3b2obo2bobob3obobo2bob2o3bo3bo39bo3bo3b2obo2bobob3obo
bo11b2obo15bob2o11bobob3obobo2bob2o3bo3bo$6bo2b5o5b5o5b5o2bo47bo2b5o5b
5o4bo3bo3bo2b4o13b4o2bo3bo3bo4b5o5b5o2bo$4bo4bo3bo2bo2bo3bo2bo2bo3bo4b
o43bo4bo3bo2bo2bo3bo3bobo2bo3bo2bo19bo2bo3bo2bobo3bo3bo2bo2bo3bo4bo$
106bo3bo3bo25bo3bo3bo$108bo9bobo13bobo9bo$110b3ob3o21b3ob3o$108b2o2b3o
2b2o17b2o2b3o2b2o$106b2o4b3o4b2o13b2o4b3o4b2o$107b6ob6o15b6ob6o$107b2o
2bo3bo2b2o15b2o2bo3bo2b2o$107b6ob6o15b6ob6o$106b2o4b3o4b2o13b2o4b3o4b
2o$108b2o2b3o2b2o17b2o2b3o2b2o$110b3ob3o21b3ob3o$106bobo9bo17bo9bobo$
112bo3bo3bo13bo3bo3bo$109bo2bo3bo2bobo3bo3bo3bobo2bo3bo2bo$106b4o2bo3b
o3bo4b5o4bo3bo3bo2b4o$107bob2o11bobob3obobo11b2obo$107b2o5b3o7bobobobo
7b3o5b2o$107b2o5bo2bob3obo2bobo2bob3obo2bo5b2o$106b2o2b3obo2bo5bo2b3o
2bo5bo2bob3o2b2o$115b3o5b4ob4o5b3o$124b2o3b2o$107b2o3bo2bo3b3ob4ob4ob
3o3bo2bo3b2o$110bo4bo7bo2b3o2bo7bo4bo$106bo4bo3bo2bo4bo2bobo2bo4bo2bo
3bo4bo$118b3o3bobobobo3b3o$108bo3bo3b2obo2bobob3obobo2bob2o3bo3bo$112b
o2b5o5b5o5b5o2bo$110bo4bo3bo2bo2bo3bo2bo2bo3bo4bo!
These oscillators works without S8, and some of these without B8.
Edit: 55x55 is minimal for B23/S16. 25 similar D8-symmetric oscillators:

Code: Select all

x = 295, y = 295, rule = B23/S16
10bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo
3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2b
o3bo2bo2bo3bo4bo$12bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b
5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo$8bo3bo3b2obo2bo2bo3bo2bo2b
ob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo
2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2b
o3bo2bo2bob2o3bo3bo$17b3obo11bob3o39b3obo11bob3o39b3obo11bob3o39b3obo
11bob3o39b3obo11bob3o$4bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo
4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo$6bo6b2o
2bo3b13o3bo2b2o6bo17bo6b2o2bo3b13o3bo2b2o6bo17bo6b4o4b13o4b4o6bo17bo6b
4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo$5bo2b2o2bo2bo5bobobobobobobo5bo2bo
2b2o2bo15bo2b2o2bo2bo5bobobobobobobo5bo2bo2b2o2bo15bo2b2o2b2o3bo4b4o3b
4o4bo3b2o2b2o2bo15bo2b2o2b2o3bo4b3o5b3o4bo3b2o2b2o2bo15bo2b2o2b2o3bo4b
3o5b3o4bo3b2o2b2o2bo$8bob4o2bo2bobo11bobo2bo2b4obo21bob4o2bo2bobo11bob
o2bo2b4obo21bob4o2b2ob2o5b3o5b2ob2o2b4obo21bob4o2b2ob2o4b5o4b2ob2o2b4o
bo21bob4o2b2ob2o4b2ob2o4b2ob2o2b4obo$2bo3b2o6b3ob3o13b3ob3o6b2o3bo9bo
3b2o6b3ob3o13b3ob3o6b2o3bo9bo3b2o3b7o19b7o3b2o3bo9bo3b2o3b7o19b7o3b2o
3bo9bo3b2o3b7o9bo9b7o3b2o3bo$4bobo3bo4b3o5b9o5b3o4bo3bobo13bobo3bo4b3o
5b9o5b3o4bo3bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo
13bobo5bo3b3o17b3o3bo5bobo$o3bo2bobo2bo3b3o5b7o5b3o3bo2bobo2bo3bo5bo3b
o2bobo2bo3b3o5b2o3b2o5b3o3bo2bobo2bo3bo5bo3bo2bo3bo6b2o2b3o5b3o2b2o6bo
3bo2bo3bo5bo3bo2bo3bo6b2o2b3o5b3o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b3o
5b3o2b2o6bo3bo2bo3bo$7bo3b4obo4b3o7b3o4bob4o3bo19bo3b4obo4b3o2b3o2b3o
4bob4o3bo19b2obob2ob3o2b2o3b5o3b2o2b3ob2obob2o19b2obob2ob3o2b2o3b5o3b
2o2b3ob2obob2o19b2obob2ob3o2b2o3b5o3b2o2b3ob2obob2o$b2o3b2o2b4o6b3o9b
3o6b4o2b2o3b2o7b2o3b2o2b4o6b3o9b3o6b4o2b2o3b2o7b2o3b4ob5o4b4o2b3o2b4o
4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b
5ob4o3b2o$5bobo3b2o2b2ob3o13b3ob2o2b2o3bobo15bobo3b2o2b2ob3o13b3ob2o2b
2o3bobo15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o
15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o$5bo2bo2bo6b2o2bo2b5o2bo2b2o6bo2bo2bo
15bo2bo2bo6b2o2bo2b5o2bo2b2o6bo2bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo
15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo$2o4bo
b2o3bo3b2o3bobo5bobo3b2o3bo3b2obo4b2o5b2o4bob2o3bo3b2o3bobo5bobo3b2o3b
o3b2obo4b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o
3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o
2b2obob3obob2o2b2o2bob2o2bo2bo3b2o$b2o4b5obo2b2o6b3ob3o6b2o2bob5o4b2o
7b2o4b5obo2b2o6b3ob3o6b2o2bob5o4b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b
2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo
2b2o$b3obo3b2o4b2o3bo4bo3bo4bo3b2o4b2o3bob3o7b3obo3b2o4b2o3bo4bo3bo4bo
3b2o4b2o3bob3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b
2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o$bob2o
3bobo2b3o4bobo9bobo4b3o2bobo3b2obo7bob2o3bobo2b3o4bobo9bobo4b3o2bobo3b
2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o
5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo$4o
3b2o4b2o7bo9bo7b2o4b2o3b4o5b4o3b2o4b2o7bo9bo7b2o4b2o3b4o5b4o3bo2bo2b2o
3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o
5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o$8bo3b2o3b2o6b5o6b2o3b2o3bo
21bo3b2o3b2o6b5o6b2o3b2o3bo20bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bo
bo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo$3bob3o3b2o8b3ob5ob3o8b2o3b3obo11bo
b3o3b2o8b3ob5ob3o8b2o3b3obo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo
5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo$o
bo2bo5b2ob2o2b2ob4o5b4ob2o2b2ob2o5bo2bobo5bobo2bo5b2ob2o2b2ob4o5b4ob2o
2b2ob2o5bo2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo
2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o
3b3o3bobobo2bobo3b2o2bobo$5b2o2bobo9b3o7b3o9bobo2b2o15b2o2bobo9b3o7b3o
9bobo2b2o15b2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o15b2o3bobo5b2o2bo2b5o2bo
2b2o5bobo3b2o15b2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o$5bo3b2o4b2o5bo2b5o
2bo5b2o4b2o3bo15bo3b2o4b2o5bo2b5o2bo5b2o4b2o3bo15b2o3bo2bobo2bo3bobo5b
obo3bo2bobo2bo3b2o15b2o3bo2bobo2bo3bobo5bobo3bo2bobo2bo3b2o15b2o3bo2bo
bo2bo3bobo5bobo3bo2bobo2bo3b2o$3o2b2o2b2o3bob2o2b2o2bo5bo2b2o2b2obo3b
2o2b2o2b3o5b3o2b2o2b2o3bob2o2b2o2bo5bo2b2o2b2obo3b2o2b2o2b3o5b3o2b2o4b
obo2b2o4b2o7b2o4b2o2bobo4b2o2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bo
bo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o$bo3bo3b2o3bobo3b2o
2bobobobo2b2o3bobo3b2o3bo3bo7bo3bo3bobo2bobo3b2o2bobobobo2b2o3bobo2bob
o3bo3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo7bo3bobo3b2o2bob
o3bobo3bo3bobo3bobo2b2o3bobo3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o
3bobo3bo$bo3b2o2b2o3bo5b2o2bo5bo2b2o5bo3b2o2b2o3bo7bo3b2o2bobo2bo5b2o
2bo5bo2b2o5bo2bobo2b2o3bo7bo3bobo3b2o2bobo3bobo2bobo2bobo3bobo2b2o3bob
o3bo7bo3bobo3b2o2bobo3bobo2bobo2bobo3bobo2b2o3bobo3bo7bo3bo2bo2b2o2bob
o3bobo2bobo2bobo3bobo2b2o2bo2bo3bo$bo3bo3b2o3bobo3b2o2bobobobo2b2o3bob
o3b2o3bo3bo7bo3bo3bobo2bobo3b2o2bobobobo2b2o3bobo2bobo3bo3bo7bo3bobo3b
2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bo
bo2b2o3bobo3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo$3o2b2o2b
2o3bob2o2b2o2bo5bo2b2o2b2obo3b2o2b2o2b3o5b3o2b2o2b2o3bob2o2b2o2bo5bo2b
2o2b2obo3b2o2b2o2b3o5b3o2b2o4bobo2b2o4b2o7b2o4b2o2bobo4b2o2b3o5b3o2bob
o3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bob
o3bobo2b3o$5bo3b2o4b2o5bo2b5o2bo5b2o4b2o3bo15bo3b2o4b2o5bo2b5o2bo5b2o
4b2o3bo15b2o3bo2bobo2bo3bobo5bobo3bo2bobo2bo3b2o15b2o3bo2bobo2bo3bobo
5bobo3bo2bobo2bo3b2o15b2o3bo2bobo2bo3bobo5bobo3bo2bobo2bo3b2o$5b2o2bob
o9b3o7b3o9bobo2b2o15b2o2bobo9b3o7b3o9bobo2b2o15b2o3bobo5b2o2bo2b5o2bo
2b2o5bobo3b2o15b2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o15b2o3bobo5b2o2bo2b
5o2bo2b2o5bobo3b2o$obo2bo5b2ob2o2b2ob4o5b4ob2o2b2ob2o5bo2bobo5bobo2bo
5b2ob2o2b2ob4o5b4ob2o2b2ob2o5bo2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobo
bo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bob
o2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo$3bob3o3b2o8b3ob5ob3o8b
2o3b3obo11bob3o3b2o8b3ob5ob3o8b2o3b3obo11bobo5b2o2bobobo6b3o6bobobo2b
2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobo
bo2b2o5bobo$8bo3b2o3b2o6b5o6b2o3b2o3bo21bo3b2o3b2o6b5o6b2o3b2o3bo20bo
3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b
2o3bo$4o3b2o4b2o7bo9bo7b2o4b2o3b4o5b4o3b2o4b2o7bo9bo7b2o4b2o3b4o5b4o3b
o2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2b
o2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o$bob2o3bobo2b3o4bobo
9bobo4b3o2bobo3b2obo7bob2o3bobo2b3o4bobo9bobo4b3o2bobo3b2obo7bob2o4b2o
3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b
2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo$b3obo3b2o4b2o3bo
4bo3bo4bo3b2o4b2o3bob3o7b3obo3b2o4b2o3bo4bo3bo4bo3b2o4b2o3bob3o7b3o2b
4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o
2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o$b2o4b5obo2b2o6b3ob3o6b2o
2bob5o4b2o7b2o4b5obo2b2o6b3ob3o6b2o2bob5o4b2o7b2o2bob3obo4bo8bo3bo8bo
4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo
8bo4bob3obo2b2o$2o4bob2o3bo3b2o3bobo5bobo3b2o3bo3b2obo4b2o5b2o4bob2o3b
o3b2o3bobo5bobo3b2o3bo3b2obo4b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o
2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o
5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o$5bo2bo2bo6b2o2b
o2b5o2bo2b2o6bo2bo2bo15bo2bo2bo6b2o2bo2b5o2bo2b2o6bo2bo2bo15bo2bo3bo2b
ob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o
15b3obo2bo3bo2bo$5bobo3b2o2b2ob3o13b3ob2o2b2o3bobo15bobo3b2o2b2ob3o13b
3ob2o2b2o3bobo15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b
3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o$b2o3b2o2b4o6b3o9b3o6b4o2b2o3b2o
7b2o3b2o2b4o6b3o9b3o6b4o2b2o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o
3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o$7bo3b
4obo4b3o7b3o4bob4o3bo19bo3b4obo4b3o2b3o2b3o4bob4o3bo19b2obob2ob3o2b2o
3b5o3b2o2b3ob2obob2o19b2obob2ob3o2b2o3b5o3b2o2b3ob2obob2o19b2obob2ob3o
2b2o3b5o3b2o2b3ob2obob2o$o3bo2bobo2bo3b3o5b7o5b3o3bo2bobo2bo3bo5bo3bo
2bobo2bo3b3o5b2o3b2o5b3o3bo2bobo2bo3bo5bo3bo2bo3bo6b2o2b3o5b3o2b2o6bo
3bo2bo3bo5bo3bo2bo3bo6b2o2b3o5b3o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b3o
5b3o2b2o6bo3bo2bo3bo$4bobo3bo4b3o5b9o5b3o4bo3bobo13bobo3bo4b3o5b9o5b3o
4bo3bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo
3b3o17b3o3bo5bobo$2bo3b2o6b3ob3o13b3ob3o6b2o3bo9bo3b2o6b3ob3o13b3ob3o
6b2o3bo9bo3b2o3b7o19b7o3b2o3bo9bo3b2o3b7o19b7o3b2o3bo9bo3b2o3b7o9bo9b
7o3b2o3bo$8bob4o2bo2bobo11bobo2bo2b4obo21bob4o2bo2bobo11bobo2bo2b4obo
21bob4o2b2ob2o5b3o5b2ob2o2b4obo21bob4o2b2ob2o4b5o4b2ob2o2b4obo21bob4o
2b2ob2o4b2ob2o4b2ob2o2b4obo$5bo2b2o2bo2bo5bobobobobobobo5bo2bo2b2o2bo
15bo2b2o2bo2bo5bobobobobobobo5bo2bo2b2o2bo15bo2b2o2b2o3bo4b4o3b4o4bo3b
2o2b2o2bo15bo2b2o2b2o3bo4b3o5b3o4bo3b2o2b2o2bo15bo2b2o2b2o3bo4b3o5b3o
4bo3b2o2b2o2bo$6bo6b2o2bo3b13o3bo2b2o6bo17bo6b2o2bo3b13o3bo2b2o6bo17bo
6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo$4bo4b2o7bo17b
o7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b
2o4bo13bo4b2o7bo17bo7b2o4bo$17b3obo11bob3o39b3obo11bob3o39b3obo11bob3o
39b3obo11bob3o39b3obo11bob3o$8bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo
3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo
21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3b
o3bo$12bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o
5b5o5b5o2bo29bo2b5o5b5o5b5o2bo$10bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo
3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2b
o3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo6$10bo4bo3bo2bo2bo3bo2b
o2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo
4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo$12bo
2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o
2bo29bo2b5o5b5o5b5o2bo$8bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2o
bo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo
3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo$
17b3obo11bob3o39b3obo11bob3o39b3obo11bob3o39b3obo11bob3o39b3obo11bob3o
$4bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo
4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo$6bo6b4o4b13o4b4o6bo17bo6b4o4b
13o4b4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo
$5bo2b2o2b2o3bo4b3o5b3o4bo3b2o2b2o2bo15bo2b2o2b2o3bo4b3o5b3o4bo3b2o2b
2o2bo15bo2b2o2b2o3bo4b3o5b3o4bo3b2o2b2o2bo15bo2b2o2b2o3bo4b2o2b3o2b2o
4bo3b2o2b2o2bo15bo2b2o2b2o3bo4b2o7b2o4bo3b2o2b2o2bo$8bob4o2b2ob2o4b5o
4b2ob2o2b4obo21bob4o2b2ob2o4b5o4b2ob2o2b4obo21bob4o2b2ob2o4b2ob2o4b2ob
2o2b4obo21bob4o2b2ob2o3b2o3b2o3b2ob2o2b4obo21bob4o2b2ob2o3b7o3b2ob2o2b
4obo$2bo3b2o3b7o19b7o3b2o3bo9bo3b2o3b7o19b7o3b2o3bo9bo3b2o3b7o9bo9b7o
3b2o3bo9bo3b2o3b7o19b7o3b2o3bo9bo3b2o3b7o19b7o3b2o3bo$4bobo5bo3b3o17b
3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5b
o3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo$o3bo2bo3bo6b2o2b2o2b3o2b
2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b2o7b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo
6b2o2b2o7b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b2o2b3o2b2o2b2o6bo3bo2bo
3bo5bo3bo2bo3bo6b2o2b3o5b3o2b2o6bo3bo2bo3bo$7b2obob2ob3o2b2o2b2o3b2o2b
2o2b3ob2obob2o19b2obob2ob3o2b2o2b7o2b2o2b3ob2obob2o19b2obob2ob3o2b2o2b
7o2b2o2b3ob2obob2o19b2obob2ob3o2b2o2b2o3b2o2b2o2b3ob2obob2o19b2obob2ob
3o2b2o3b5o3b2o2b3ob2obob2o$b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob
5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o
4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o$5b4o2b3o5bo
4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o
4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o
2b4o$5bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo
15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2b
o3bo2bob3o15b3obo2bo3bo2bo$2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o
2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3b
o2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b
2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o
2bob2o2bo2bo3b2o$b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo
3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo
8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o$b3o2b4obo2b
2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b
3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2b
ob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o$bob2o4b2o3b2o3b2o2b2o
5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob
2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o
3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo$4o3bo2bo2b
2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b
4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o
2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o$7bo3b2o5bo
bo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19b
o3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo$3bobo5b2o2bobobo6b3o
6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo
6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bo
bobo6b3o6bobobo2b2o5bobo$obo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2b
obo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bo
bobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo
2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo$5b2o
3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o15b2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o
15b2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o15b2o3bobo5b2o2bo2b5o2bo2b2o5bobo
3b2o15b2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o$5b2o4bobobo2bo3bobo5bobo3bo
2bobobo4b2o15b2o4bobobo2bo3bobo5bobo3bo2bobobo4b2o15b2o4bobobo2bo3bobo
5bobo3bo2bobobo4b2o15bobo3bobobo2bo3bobo5bobo3bo2bobobo3bobo15bobo2bo
2bobo2bo3bobo5bobo3bo2bobo2bo2bobo$3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3b
obo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o
4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o
5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o$bo3bobo2bobo2bobo3bobo3bo
3bobo3bobo2bobo2bobo3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo
7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo7bo3b2o3bobo2bobo3bobo
3bo3bobo3bobo2bobo3b2o3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo
3bo$bo3bobo2bobo2bobo3bobo2bobo2bobo3bobo2bobo2bobo3bo7bo3bobo3b2o2bob
o3bobo2bobo2bobo3bobo2b2o3bobo3bo7bo3bo2bo2b2o2bobo3bobo2bobo2bobo3bob
o2b2o2bo2bo3bo7bo3b2o3bobo2bobo3bobo2bobo2bobo3bobo2bobo3b2o3bo7bo3bob
o3b2o2bobo3bobo2bobo2bobo3bobo2b2o3bobo3bo$bo3bobo2bobo2bobo3bobo3bo3b
obo3bobo2bobo2bobo3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo7b
o3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo7bo3b2o3bobo2bobo3bobo3bo
3bobo3bobo2bobo3b2o3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo$
3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b
2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo
3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo
3bobo2b3o$5b2o4bobobo2bo3bobo5bobo3bo2bobobo4b2o15b2o4bobobo2bo3bobo5b
obo3bo2bobobo4b2o15b2o4bobobo2bo3bobo5bobo3bo2bobobo4b2o15bobo3bobobo
2bo3bobo5bobo3bo2bobobo3bobo15bobo2bo2bobo2bo3bobo5bobo3bo2bobo2bo2bob
o$5b2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o15b2o3bobo5b2o2bo2b5o2bo2b2o5bob
o3b2o15b2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o15b2o3bobo5b2o2bo2b5o2bo2b2o
5bobo3b2o15b2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o$obo2b2o3bobo2bobobo3b3o
3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o
2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo
2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobo
bo2bobo3b2o2bobo$3bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo
6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bo
bobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo$7bo3b2o
5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo
19bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo$4o3bo2bo2b2o3bo2b
3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o
3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o
2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o$bob2o4b2o3b2o3b2o
2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo
7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o
2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo$b3o2b4o
bo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b
3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b
2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o$b2o2bob3obo4bo8bo
3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo
8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo
4bo8bo3bo8bo4bob3obo2b2o$2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo
2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2b
o2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2ob
ob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bo
b2o2bo2bo3b2o$5bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2b
o3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2b
o15bo2bo3bo2bob3o15b3obo2bo3bo2bo$5b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o
2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo
4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o$b2o3b4ob5o4b4o2b3o
2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b
4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o
4b5ob4o3b2o$7b2obob2ob3o2b2o2b2o3b2o2b2o2b3ob2obob2o19b2obob2ob3o2b2o
2b7o2b2o2b3ob2obob2o19b2obob2ob3o2b2o2b7o2b2o2b3ob2obob2o19b2obob2ob3o
2b2o2b2o3b2o2b2o2b3ob2obob2o19b2obob2ob3o2b2o3b5o3b2o2b3ob2obob2o$o3bo
2bo3bo6b2o2b2o2b3o2b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b2o7b2o2b2o6bo
3bo2bo3bo5bo3bo2bo3bo6b2o2b2o7b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b2o
2b3o2b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b3o5b3o2b2o6bo3bo2bo3bo$4bobo
5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bo
bo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo$2bo3b2o3b7o19b
7o3b2o3bo9bo3b2o3b7o19b7o3b2o3bo9bo3b2o3b7o9bo9b7o3b2o3bo9bo3b2o3b7o
19b7o3b2o3bo9bo3b2o3b7o19b7o3b2o3bo$8bob4o2b2ob2o4b5o4b2ob2o2b4obo21bo
b4o2b2ob2o4b5o4b2ob2o2b4obo21bob4o2b2ob2o4b2ob2o4b2ob2o2b4obo21bob4o2b
2ob2o3b2o3b2o3b2ob2o2b4obo21bob4o2b2ob2o3b7o3b2ob2o2b4obo$5bo2b2o2b2o
3bo4b3o5b3o4bo3b2o2b2o2bo15bo2b2o2b2o3bo4b3o5b3o4bo3b2o2b2o2bo15bo2b2o
2b2o3bo4b3o5b3o4bo3b2o2b2o2bo15bo2b2o2b2o3bo4b2o2b3o2b2o4bo3b2o2b2o2bo
15bo2b2o2b2o3bo4b2o7b2o4bo3b2o2b2o2bo$6bo6b4o4b13o4b4o6bo17bo6b4o4b13o
4b4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo$4b
o4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b
2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo$17b3obo11bob3o39b3obo11bob3o39b
3obo11bob3o39b3obo11bob3o39b3obo11bob3o$8bo3bo3b2obo2bo2bo3bo2bo2bob2o
3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2b
ob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo
2bo2bob2o3bo3bo$12bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o
2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo$10bo4bo3bo2bo2bo3bo2bo2bo3bo
4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo
4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo6$10bo4bo3bo
2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3b
o2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo
3bo4bo$12bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b
5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo$8bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo
21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3b
o3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob
2o3bo3bo$17b3obo11bob3o39b3obo11bob3o39b3obo11bob3o39b3obo11bob3o39b3o
bo11bob3o$4bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b
2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo$6bo6b4o4b13o4b4o6bo
17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b
13o4b4o6bo$5bo2b2o2b2o3bo4b2o7b2o4bo3b2o2b2o2bo15bo2b2o2b2o3bo4b2o7b2o
4bo3b2o2b2o2bo15bo2b2o2b2o3bo4b2o7b2o4bo3b2o2b2o2bo15bo2b2o2b2o3bo4b2o
7b2o4bo3b2o2b2o2bo15bo2b2o2b2o3bo4bo9bo4bo3b2o2b2o2bo$8bob4o2b2ob2o3b
3ob3o3b2ob2o2b4obo21bob4o2b2ob2o3b7o3b2ob2o2b4obo21bob4o2b2ob2o3b7o3b
2ob2o2b4obo21bob4o2b2ob2o3b3ob3o3b2ob2o2b4obo21bob4o2b2ob2o2b2ob3ob2o
2b2ob2o2b4obo$2bo3b2o3b7o9bo9b7o3b2o3bo9bo3b2o3b7o19b7o3b2o3bo9bo3b2o
3b7o19b7o3b2o3bo9bo3b2o3b7o9bo9b7o3b2o3bo9bo3b2o3b7o5bo3bo3bo5b7o3b2o
3bo$4bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o
17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo$o3bo
2bo3bo6b2o2b3o5b3o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b2o2b3o2b2o2b2o6bo
3bo2bo3bo5bo3bo2bo3bo6b2o2b2o7b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b2o
7b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o15b2o6bo3bo2bo3bo$7b2obob2ob3o2b2o
3b5o3b2o2b3ob2obob2o19b2obob2ob3o2b2o2b2o3b2o2b2o2b3ob2obob2o19b2obob
2ob3o2b2o2b7o2b2o2b3ob2obob2o19b2obob2ob3o2b2o2b7o2b2o2b3ob2obob2o19b
2obob2ob3o2b15o2b3ob2obob2o$b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob
5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o
4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o$5b4o2b3o5bo
4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o
4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o
2b4o$5bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo
15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2b
o3bo2bob3o15b3obo2bo3bo2bo$2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o
2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3b
o2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b
2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o
2bob2o2bo2bo3b2o$b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo
3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo
8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o$b3o2b4obo2b
2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b
3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2b
ob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o$bob2o4b2o3b2o3b2o2b2o
5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob
2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o
3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo$4o3bo2bo2b
2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b
4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o
2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o$7bo3b2o5bo
bo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19b
o3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo$3bobo5b2o2bobobo6b3o
6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo
6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bo
bobo6b3o6bobobo2b2o5bobo$obo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2b
obo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bo
bobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo
2bobo3b2o2bobo5bobo2b2o4b2o2bobobo3b3o3b3o3bobobo2b2o4b2o2bobo$5b2o3bo
bo5b2o2bo2b5o2bo2b2o5bobo3b2o15b2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o15b
2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o15b2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b
2o15bob2o2b2o5b2o2bo2b5o2bo2b2o5b2o2b2obo$5bobo2bo2bobo2bo3bobo5bobo3b
o2bobo2bo2bobo15bobo3bobobo2bo3bobo5bobo3bo2bobobo3bobo15bobo3bobobo2b
o3bobo5bobo3bo2bobobo3bobo15bobo3bobobo2bo3bobo5bobo3bo2bobobo3bobo15b
obo3bobobo2bo3bobo5bobo3bo2bobobo3bobo$3o2bobo3bobo2b2o4b2o7b2o4b2o2bo
bo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo
2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo
2b3o5b3o2bo5bobo2b2o4b2o7b2o4b2o2bobo5bo2b3o$bo3bobo3b2o2bobo3bobo3bo
3bobo3bobo2b2o3bobo3bo7bo3bobo2bobo2bobo3bobo3bo3bobo3bobo2bobo2bobo3b
o7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo7bo3bobo3b2o2bobo3bobo
3bo3bobo3bobo2b2o3bobo3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo
3bo$bo3bo2bo2b2o2bobo3bobo2bobo2bobo3bobo2b2o2bo2bo3bo7bo3bobo2bobo2bo
bo3bobo2bobo2bobo3bobo2bobo2bobo3bo7bo3bobo3b2o2bobo3bobo2bobo2bobo3bo
bo2b2o3bobo3bo7bo3bo2bo2b2o2bobo3bobo2bobo2bobo3bobo2b2o2bo2bo3bo7bo3b
ob2o2b2o2bobo3bobo2bobo2bobo3bobo2b2o2b2obo3bo$bo3bobo3b2o2bobo3bobo3b
o3bobo3bobo2b2o3bobo3bo7bo3bobo2bobo2bobo3bobo3bo3bobo3bobo2bobo2bobo
3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo7bo3bobo3b2o2bobo3bo
bo3bo3bobo3bobo2b2o3bobo3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bob
o3bo$3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o
7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o
2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bo5bobo2b2o4b2o7b2o4b2o2b
obo5bo2b3o$5bobo2bo2bobo2bo3bobo5bobo3bo2bobo2bo2bobo15bobo3bobobo2bo
3bobo5bobo3bo2bobobo3bobo15bobo3bobobo2bo3bobo5bobo3bo2bobobo3bobo15bo
bo3bobobo2bo3bobo5bobo3bo2bobobo3bobo15bobo3bobobo2bo3bobo5bobo3bo2bob
obo3bobo$5b2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o15b2o3bobo5b2o2bo2b5o2bo
2b2o5bobo3b2o15b2o3bobo5b2o2bo2b5o2bo2b2o5bobo3b2o15b2o3bobo5b2o2bo2b
5o2bo2b2o5bobo3b2o15bob2o2b2o5b2o2bo2b5o2bo2b2o5b2o2b2obo$obo2b2o3bobo
2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobo
bo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bob
o2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo2b2o4b2o2bobobo3b3o
3b3o3bobobo2b2o4b2o2bobo$3bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b
2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bo
bo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo
$7bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bob
o5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo$4o3bo2bo
2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo
3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b
3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o$bob2o4b
2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o
3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b
2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2o
bo$b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b
2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o
2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o$b2o2bob
3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2b
ob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o
2bob3obo4bo8bo3bo8bo4bob3obo2b2o$2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o
2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o
5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo
2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob
2o2b2o2bob2o2bo2bo3b2o$5bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o
15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3ob
o2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo$5b4o2b3o5bo4b2o3b2o4bo5b3o
2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b
4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o$b2o3b4ob5o
4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b
4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o
2b3o2b4o4b5ob4o3b2o$7b2obob2ob3o2b2o3b5o3b2o2b3ob2obob2o19b2obob2ob3o
2b2o2b2o3b2o2b2o2b3ob2obob2o19b2obob2ob3o2b2o2b7o2b2o2b3ob2obob2o19b2o
bob2ob3o2b2o2b7o2b2o2b3ob2obob2o19b2obob2ob3o2b15o2b3ob2obob2o$o3bo2bo
3bo6b2o2b3o5b3o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b2o2b3o2b2o2b2o6bo3bo
2bo3bo5bo3bo2bo3bo6b2o2b2o7b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b2o7b2o
2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o15b2o6bo3bo2bo3bo$4bobo5bo3b3o17b3o3bo
5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o
17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo$2bo3b2o3b7o9bo9b7o3b2o3bo9bo3b
2o3b7o19b7o3b2o3bo9bo3b2o3b7o19b7o3b2o3bo9bo3b2o3b7o9bo9b7o3b2o3bo9bo
3b2o3b7o5bo3bo3bo5b7o3b2o3bo$8bob4o2b2ob2o3b3ob3o3b2ob2o2b4obo21bob4o
2b2ob2o3b7o3b2ob2o2b4obo21bob4o2b2ob2o3b7o3b2ob2o2b4obo21bob4o2b2ob2o
3b3ob3o3b2ob2o2b4obo21bob4o2b2ob2o2b2ob3ob2o2b2ob2o2b4obo$5bo2b2o2b2o
3bo4b2o7b2o4bo3b2o2b2o2bo15bo2b2o2b2o3bo4b2o7b2o4bo3b2o2b2o2bo15bo2b2o
2b2o3bo4b2o7b2o4bo3b2o2b2o2bo15bo2b2o2b2o3bo4b2o7b2o4bo3b2o2b2o2bo15bo
2b2o2b2o3bo4bo9bo4bo3b2o2b2o2bo$6bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6b
o17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo$4bo4b2o
7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo
17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo$17b3obo11bob3o39b3obo11bob3o39b3obo
11bob3o39b3obo11bob3o39b3obo11bob3o$8bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo
3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob
2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo
2bob2o3bo3bo$12bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo
29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo$10bo4bo3bo2bo2bo3bo2bo2bo3bo4bo
25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo
3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo6$10bo4bo3bo2bo
2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2b
o2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo
4bo$12bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o
5b5o5b5o2bo29bo2b5o5b5o5b5o2bo$8bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21b
o3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3b
o21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o
3bo3bo$17b3obo11bob3o39b3obo11bob3o39b3obo11bob3o39b3obo11bob3o39b3obo
11bob3o$4bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o
4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo$6bo6b4o4b13o4b4o6bo17b
o6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o
4b4o6bo$5bo2b2o2b2o3bo4bo9bo4bo3b2o2b2o2bo15bo2b2o2b2o3bo4bo2b5o2bo4bo
3b2o2b2o2bo15bo2b2o2b2o3bo4bo3b3o3bo4bo3b2o2b2o2bo15bo2b2o2b2o3bo4bo9b
o4bo3b2o2b2o2bo15bo2b2o2b2o3bo4bo9bo4bo3b2o2b2o2bo$8bob4o2b2ob2o2bob5o
bo2b2ob2o2b4obo21bob4o2b2ob2o2b2o5b2o2b2ob2o2b4obo21bob4o2b2ob2o2b3o3b
3o2b2ob2o2b4obo21bob4o2b2ob2o2b9o2b2ob2o2b4obo21bob4o2b2ob2o2b4ob4o2b
2ob2o2b4obo$2bo3b2o3b7o5b2o5b2o5b7o3b2o3bo9bo3b2o3b7o19b7o3b2o3bo9bo3b
2o3b7o19b7o3b2o3bo9bo3b2o3b7o19b7o3b2o3bo9bo3b2o3b7o9bo9b7o3b2o3bo$4bo
bo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo
5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo$o3bo2bo3bo6b
2o4b2o3b2o4b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b2o2b3o2b2o2b2o6bo3bo2bo3bo
5bo3bo2bo3bo6b2o2b2o2b3o2b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b3o5b3o2b
2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b3o5b3o2b2o6bo3bo2bo3bo$7b2obob2ob3o2b
4o2b3o2b4o2b3ob2obob2o19b2obob2ob3o2b2o2b2o3b2o2b2o2b3ob2obob2o19b2obo
b2ob3o2b2o2b2o3b2o2b2o2b3ob2obob2o19b2obob2ob3o2b2o3b5o3b2o2b3ob2obob
2o19b2obob2ob3o2b2o3b5o3b2o2b3ob2obob2o$b2o3b4ob5o4b4o2b3o2b4o4b5ob4o
3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b
2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o
$5b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b
3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b
2o3b2o4bo5b3o2b4o$5bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3o
bo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo
3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo$2o3bo2bo2b2obo2b2o2b2obob3obob
2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo
2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2b
o2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2ob
ob3obob2o2b2o2bob2o2bo2bo3b2o$b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o
2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b
2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o
$b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o
2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b
5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o$bob2o4b2o
3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b
2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o
2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo
$4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo
3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o
3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o
$7bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bob
o5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo$3bobo5b2o
2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo
5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo
11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo$obo2b2o4b2o2bobobo3b3o3b3o3bobob
o2b2o4b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo
2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o
3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o
2bobo$5bob2o2b2o5b2o2bo2b5o2bo2b2o5b2o2b2obo15bobo2bobo5b2o2bo2b5o2bo
2b2o5bobo2bobo15bobo2bobo5b2o2bo2b5o2bo2b2o5bobo2bobo15bobo2bobo5b2o2b
o2b5o2bo2b2o5bobo2bobo15bobo2bobo5b2o2bo2b5o2bo2b2o5bobo2bobo$5bo2bobo
2bobo2bo3bobo5bobo3bo2bobo2bobo2bo15bobo3bobobo2bo3bobo5bobo3bo2bobobo
3bobo15bobo3bobobo2bo3bobo5bobo3bo2bobobo3bobo15bobo2bo2bobo2bo3bobo5b
obo3bo2bobo2bo2bobo15bobo2bo2bobo2bo3bobo5bobo3bo2bobo2bo2bobo$3o2bobo
2bo2bo2b2o4b2o7b2o4b2o2bo2bo2bobo2b3o5b3o2b2o4bobo2b2o4b2o7b2o4b2o2bob
o4b2o2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b
2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b
3o$bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo7bo3b2o3bobo2bobo3bob
o3bo3bobo3bobo2bobo3b2o3bo7bo3b2o3bobo2bobo3bobo3bo3bobo3bobo2bobo3b2o
3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo7bo3bobo3b2o2bobo3bo
bo3bo3bobo3bobo2b2o3bobo3bo$bo3bobo3b2o2bobo3bobo2bobo2bobo3bobo2b2o3b
obo3bo7bo3b2o3bobo2bobo3bobo2bobo2bobo3bobo2bobo3b2o3bo7bo3b2o3bobo2bo
bo3bobo2bobo2bobo3bobo2bobo3b2o3bo7bo3bobo3b2o2bobo3bobo2bobo2bobo3bob
o2b2o3bobo3bo7bo3bo2bo2b2o2bobo3bobo2bobo2bobo3bobo2b2o2bo2bo3bo$bo3bo
bo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo7bo3b2o3bobo2bobo3bobo3bo3bob
o3bobo2bobo3b2o3bo7bo3b2o3bobo2bobo3bobo3bo3bobo3bobo2bobo3b2o3bo7bo3b
obo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo7bo3bobo3b2o2bobo3bobo3bo3bo
bo3bobo2b2o3bobo3bo$3o2bobo2bo2bo2b2o4b2o7b2o4b2o2bo2bo2bobo2b3o5b3o2b
2o4bobo2b2o4b2o7b2o4b2o2bobo4b2o2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bob
o3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b
2o4b2o7b2o4b2o2bobo3bobo2b3o$5bo2bobo2bobo2bo3bobo5bobo3bo2bobo2bobo2b
o15bobo3bobobo2bo3bobo5bobo3bo2bobobo3bobo15bobo3bobobo2bo3bobo5bobo3b
o2bobobo3bobo15bobo2bo2bobo2bo3bobo5bobo3bo2bobo2bo2bobo15bobo2bo2bobo
2bo3bobo5bobo3bo2bobo2bo2bobo$5bob2o2b2o5b2o2bo2b5o2bo2b2o5b2o2b2obo
15bobo2bobo5b2o2bo2b5o2bo2b2o5bobo2bobo15bobo2bobo5b2o2bo2b5o2bo2b2o5b
obo2bobo15bobo2bobo5b2o2bo2b5o2bo2b2o5bobo2bobo15bobo2bobo5b2o2bo2b5o
2bo2b2o5bobo2bobo$obo2b2o4b2o2bobobo3b3o3b3o3bobobo2b2o4b2o2bobo5bobo
2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o
3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o
2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo$3bobo5b2o2bobo
bo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o
2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo
5b2o2bobobo6b3o6bobobo2b2o5bobo$7bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo
13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19bo
3b2o5bobo13bobo5b2o3bo$4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo
2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo
2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o
7b3o2bo3b2o2bo2bo3b4o$bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob
2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o
3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b
2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo$b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b
3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b
2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o
2b5o2b2o5b2o2bob4o2b3o$b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo
4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3o
bo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o$2o3bo2b
o2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2ob
ob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bo
b2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b
2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o$5bo2bo3bo2bob3o
15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3ob
o2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3b
o2bo$5b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b
4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5b
o4b2o3b2o4bo5b3o2b4o$b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o
2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b
3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o$7b2obob2ob3o2b4o2b
3o2b4o2b3ob2obob2o19b2obob2ob3o2b2o2b2o3b2o2b2o2b3ob2obob2o19b2obob2ob
3o2b2o2b2o3b2o2b2o2b3ob2obob2o19b2obob2ob3o2b2o3b5o3b2o2b3ob2obob2o19b
2obob2ob3o2b2o3b5o3b2o2b3ob2obob2o$o3bo2bo3bo6b2o4b2o3b2o4b2o6bo3bo2bo
3bo5bo3bo2bo3bo6b2o2b2o2b3o2b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b2o2b
3o2b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b3o5b3o2b2o6bo3bo2bo3bo5bo3bo2b
o3bo6b2o2b3o5b3o2b2o6bo3bo2bo3bo$4bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b
3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13b
obo5bo3b3o17b3o3bo5bobo$2bo3b2o3b7o5b2o5b2o5b7o3b2o3bo9bo3b2o3b7o19b7o
3b2o3bo9bo3b2o3b7o19b7o3b2o3bo9bo3b2o3b7o19b7o3b2o3bo9bo3b2o3b7o9bo9b
7o3b2o3bo$8bob4o2b2ob2o2bob5obo2b2ob2o2b4obo21bob4o2b2ob2o2b2o5b2o2b2o
b2o2b4obo21bob4o2b2ob2o2b3o3b3o2b2ob2o2b4obo21bob4o2b2ob2o2b9o2b2ob2o
2b4obo21bob4o2b2ob2o2b4ob4o2b2ob2o2b4obo$5bo2b2o2b2o3bo4bo9bo4bo3b2o2b
2o2bo15bo2b2o2b2o3bo4bo2b5o2bo4bo3b2o2b2o2bo15bo2b2o2b2o3bo4bo3b3o3bo
4bo3b2o2b2o2bo15bo2b2o2b2o3bo4bo9bo4bo3b2o2b2o2bo15bo2b2o2b2o3bo4bo9bo
4bo3b2o2b2o2bo$6bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b
4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo$4bo4b2o7bo17bo7b2o4bo13b
o4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b
2o7bo17bo7b2o4bo$17b3obo11bob3o39b3obo11bob3o39b3obo11bob3o39b3obo11bo
b3o39b3obo11bob3o$8bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo
2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2ob
o2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo$12bo2b
5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo
29bo2b5o5b5o5b5o2bo$10bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo
2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3b
o4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo6$10bo4bo3bo2bo2bo3bo2bo2bo3bo4bo
25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo
3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo$12bo2b5o5b5o5b
5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o
5b5o5b5o2bo$8bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo
2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2b
o3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo$17b3obo11bob
3o39b3obo11bob3o39b3obo11bob3o39b3obo11bob3o39b3obo11bob3o$4bo4b2o7bo
17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo
7b2o4bo13bo4b2o7bo17bo7b2o4bo$6bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo
17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo$5bo2b2o2b
2o3bo4bo9bo4bo3b2o2b2o2bo15bo2b2o2b2o3bo4bo9bo4bo3b2o2b2o2bo15bo2b2o2b
2o3bo4bo9bo4bo3b2o2b2o2bo15bo2b2o2b2o3bo4bo9bo4bo3b2o2b2o2bo15bo2b2o2b
2o3bo4bo9bo4bo3b2o2b2o2bo$8bob4o2b2ob2o2b9o2b2ob2o2b4obo21bob4o2b2ob2o
2b9o2b2ob2o2b4obo21bob4o2b2ob2o2b4ob4o2b2ob2o2b4obo21bob4o2b2ob2o2b9o
2b2ob2o2b4obo21bob4o2b2ob2o2b4ob4o2b2ob2o2b4obo$2bo3b2o3b7o19b7o3b2o3b
o9bo3b2o3b7o19b7o3b2o3bo9bo3b2o3b7o9bo9b7o3b2o3bo9bo3b2o3b7o19b7o3b2o
3bo9bo3b2o3b7o9bo9b7o3b2o3bo$4bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b
3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5b
o3b3o17b3o3bo5bobo$o3bo2bo3bo6b2o2b2o2b3o2b2o2b2o6bo3bo2bo3bo5bo3bo2bo
3bo6b2o2b2o7b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b2o7b2o2b2o6bo3bo2bo3b
o5bo3bo2bo3bo6b2o3b2o5b2o3b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o3b2o5b2o3b2o
6bo3bo2bo3bo$7b2obob2ob3o2b2o2b2o3b2o2b2o2b3ob2obob2o19b2obob2ob3o2b2o
2b7o2b2o2b3ob2obob2o19b2obob2ob3o2b2o2b7o2b2o2b3ob2obob2o19b2obob2ob3o
2b3o2b5o2b3o2b3ob2obob2o19b2obob2ob3o2b3o2b5o2b3o2b3ob2obob2o$b2o3b4ob
5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o
4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b
4o2b3o2b4o4b5ob4o3b2o$5b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b
2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b
3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o$5bo2bo3bo2bob3o15b3obo2bo3bo2bo
15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2b
o3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo$2o3bo2bo2b
2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob
3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob
2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o
3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o$b2o2bob3obo4bo8bo3b
o8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo
3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo
8bo3bo8bo4bob3obo2b2o$b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4ob
o2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b
3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b
2o2bob4o2b3o$bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o
3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b
2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o
5b2o2b2o3b2o3b2o4b2obo$4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo
2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo
2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o
7b3o2bo3b2o2bo2bo3b4o$7bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o
3bo19bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo
13bobo5b2o3bo$3bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b
3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobo
bo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo$obo2b2o3bo
bo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bo
bobo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5b
obo2b2o4b2o2bobobo3b3o3b3o3bobobo2b2o4b2o2bobo5bobo2b2o4b2o2bobobo3b3o
3b3o3bobobo2b2o4b2o2bobo$5bobo2bobo5b2o2bo2b5o2bo2b2o5bobo2bobo15bobo
2bobo5b2o2bo2b5o2bo2b2o5bobo2bobo15bobo2bobo5b2o2bo2b5o2bo2b2o5bobo2bo
bo15bobo2bobo5b2o2bo2b5o2bo2b2o5bobo2bobo15bobo2bobo5b2o2bo2b5o2bo2b2o
5bobo2bobo$5bobo3bobobo2bo3bobo5bobo3bo2bobobo3bobo15bobo3bobobo2bo3bo
bo5bobo3bo2bobobo3bobo15bobo3bobobo2bo3bobo5bobo3bo2bobobo3bobo15bobo
2bo2bobo2bo3bobo5bobo3bo2bobo2bo2bobo15bobo2bo2bobo2bo3bobo5bobo3bo2bo
bo2bo2bobo$3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b
2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b
3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b
2o4b2o2bobo3bobo2b3o$bo3bobo2bobo2bobo3bobo3bo3bobo3bobo2bobo2bobo3bo
7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo7bo3bobo3b2o2bobo3bobo
3bo3bobo3bobo2b2o3bobo3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo
3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo$bo3bobo2bobo2bobo3b
obo2bobo2bobo3bobo2bobo2bobo3bo7bo3bobo3b2o2bobo3bobo2bobo2bobo3bobo2b
2o3bobo3bo7bo3bo2bo2b2o2bobo3bobo2bobo2bobo3bobo2b2o2bo2bo3bo7bo3bobo
3b2o2bobo3bobo2bobo2bobo3bobo2b2o3bobo3bo7bo3bo2bo2b2o2bobo3bobo2bobo
2bobo3bobo2b2o2bo2bo3bo$bo3bobo2bobo2bobo3bobo3bo3bobo3bobo2bobo2bobo
3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo7bo3bobo3b2o2bobo3bo
bo3bo3bobo3bobo2b2o3bobo3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bob
o3bo7bo3bobo3b2o2bobo3bobo3bo3bobo3bobo2b2o3bobo3bo$3o2bobo3bobo2b2o4b
2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b
3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b
2o2bobo3bobo2b3o5b3o2bobo3bobo2b2o4b2o7b2o4b2o2bobo3bobo2b3o$5bobo3bob
obo2bo3bobo5bobo3bo2bobobo3bobo15bobo3bobobo2bo3bobo5bobo3bo2bobobo3bo
bo15bobo3bobobo2bo3bobo5bobo3bo2bobobo3bobo15bobo2bo2bobo2bo3bobo5bobo
3bo2bobo2bo2bobo15bobo2bo2bobo2bo3bobo5bobo3bo2bobo2bo2bobo$5bobo2bobo
5b2o2bo2b5o2bo2b2o5bobo2bobo15bobo2bobo5b2o2bo2b5o2bo2b2o5bobo2bobo15b
obo2bobo5b2o2bo2b5o2bo2b2o5bobo2bobo15bobo2bobo5b2o2bo2b5o2bo2b2o5bobo
2bobo15bobo2bobo5b2o2bo2b5o2bo2b2o5bobo2bobo$obo2b2o3bobo2bobobo3b3o3b
3o3bobobo2bobo3b2o2bobo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2b
obo5bobo2b2o3bobo2bobobo3b3o3b3o3bobobo2bobo3b2o2bobo5bobo2b2o4b2o2bob
obo3b3o3b3o3bobobo2b2o4b2o2bobo5bobo2b2o4b2o2bobobo3b3o3b3o3bobobo2b2o
4b2o2bobo$3bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bo
bobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b
3o6bobobo2b2o5bobo11bobo5b2o2bobobo6b3o6bobobo2b2o5bobo$7bo3b2o5bobo
13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo19bo
3b2o5bobo13bobo5b2o3bo19bo3b2o5bobo13bobo5b2o3bo$4o3bo2bo2b2o3bo2b3o7b
3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2b
o2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2b
o3b4o5b4o3bo2bo2b2o3bo2b3o7b3o2bo3b2o2bo2bo3b4o$bob2o4b2o3b2o3b2o2b2o
5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob
2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o
3b2o3b2o4b2obo7bob2o4b2o3b2o3b2o2b2o5b2o2b2o3b2o3b2o4b2obo$b3o2b4obo2b
2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b
3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2b
ob4o2b3o7b3o2b4obo2b2o5b2o2b5o2b2o5b2o2bob4o2b3o$b2o2bob3obo4bo8bo3bo
8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo
3bo8bo4bob3obo2b2o7b2o2bob3obo4bo8bo3bo8bo4bob3obo2b2o7b2o2bob3obo4bo
8bo3bo8bo4bob3obo2b2o$2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo
3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b
2obo2b2o2b2obob3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob
3obob2o2b2o2bob2o2bo2bo3b2o5b2o3bo2bo2b2obo2b2o2b2obob3obob2o2b2o2bob
2o2bo2bo3b2o$5bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo
3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo15bo2bo3bo2bob3o15b3obo2bo3bo2bo
15bo2bo3bo2bob3o15b3obo2bo3bo2bo$5b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b
3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b
2o3b2o4bo5b3o2b4o15b4o2b3o5bo4b2o3b2o4bo5b3o2b4o$b2o3b4ob5o4b4o2b3o2b
4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o
4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b5ob4o3b2o7b2o3b4ob5o4b4o2b3o2b4o4b
5ob4o3b2o$7b2obob2ob3o2b2o2b2o3b2o2b2o2b3ob2obob2o19b2obob2ob3o2b2o2b
7o2b2o2b3ob2obob2o19b2obob2ob3o2b2o2b7o2b2o2b3ob2obob2o19b2obob2ob3o2b
3o2b5o2b3o2b3ob2obob2o19b2obob2ob3o2b3o2b5o2b3o2b3ob2obob2o$o3bo2bo3bo
6b2o2b2o2b3o2b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o2b2o7b2o2b2o6bo3bo2bo
3bo5bo3bo2bo3bo6b2o2b2o7b2o2b2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o3b2o5b2o3b
2o6bo3bo2bo3bo5bo3bo2bo3bo6b2o3b2o5b2o3b2o6bo3bo2bo3bo$4bobo5bo3b3o17b
3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo13bobo5b
o3b3o17b3o3bo5bobo13bobo5bo3b3o17b3o3bo5bobo$2bo3b2o3b7o19b7o3b2o3bo9b
o3b2o3b7o19b7o3b2o3bo9bo3b2o3b7o9bo9b7o3b2o3bo9bo3b2o3b7o19b7o3b2o3bo
9bo3b2o3b7o9bo9b7o3b2o3bo$8bob4o2b2ob2o2b9o2b2ob2o2b4obo21bob4o2b2ob2o
2b9o2b2ob2o2b4obo21bob4o2b2ob2o2b4ob4o2b2ob2o2b4obo21bob4o2b2ob2o2b9o
2b2ob2o2b4obo21bob4o2b2ob2o2b4ob4o2b2ob2o2b4obo$5bo2b2o2b2o3bo4bo9bo4b
o3b2o2b2o2bo15bo2b2o2b2o3bo4bo9bo4bo3b2o2b2o2bo15bo2b2o2b2o3bo4bo9bo4b
o3b2o2b2o2bo15bo2b2o2b2o3bo4bo9bo4bo3b2o2b2o2bo15bo2b2o2b2o3bo4bo9bo4b
o3b2o2b2o2bo$6bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o
6bo17bo6b4o4b13o4b4o6bo17bo6b4o4b13o4b4o6bo$4bo4b2o7bo17bo7b2o4bo13bo
4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o7bo17bo7b2o4bo13bo4b2o
7bo17bo7b2o4bo$17b3obo11bob3o39b3obo11bob3o39b3obo11bob3o39b3obo11bob
3o39b3obo11bob3o$8bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo
2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2ob
o2bo2bo3bo2bo2bob2o3bo3bo21bo3bo3b2obo2bo2bo3bo2bo2bob2o3bo3bo$12bo2b
5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo29bo2b5o5b5o5b5o2bo
29bo2b5o5b5o5b5o2bo$10bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo
2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo25bo4bo3bo2bo2bo3bo2bo2bo3b
o4bo25bo4bo3bo2bo2bo3bo2bo2bo3bo4bo!
Edit 2: 18x18 is minimal for B23578/S1678 in C1-symmetric way.
Some p2 oscillators:

Code: Select all

x = 90, y = 18, rule = B23578/S1678
3bo2bo4bo2bo12bo2bo4bo2bo12bo2bo4bo2bo12bo2bo4bo2bo$bob4o4b4obo8bob4o
4b4obo8bob4o4b4obo8bob4o4b4obo$3b3o2b2o2b3o12b3o2b2o2b3o12b3o2b2o2b3o
12b3o2b2o2b3o$4obo2b2o2bob4o6b4obo2b2o2bob4o6b4obo2b2o2bob4o6b4obo2b2o
2bob4o$b2o2bo2b2o2bo2b2o8b2o2bo2b2o2bo2b2o8b2o2bo6bo2b2o8b2o2bo6bo2b2o
$b7o2b7o8b5o2b2o2b5o8b5ob4ob5o8b7o2b7o$2o3b2o4b2o3b2o6b2o4b6o4b2o6b2o
4b2o2b2o4b2o6b2o3b2ob2ob2o3b2o$5bo6bo17b6o17b2o4b2o16bo2b2o2bo$2b3o3b
2o3b3o10b14o10b2obo6bob2o10b2o4b2o4b2o$2b3o3b2o3b3o10b14o10b2obo6bob2o
10b3o2bo2bo2b3o$5bo6bo17b6o17b2o4b2o16b2ob2ob2o$2o3b2o4b2o3b2o6b2o4b6o
4b2o6b2o4b2o2b2o4b2o6b2o3b3o2b3o3b2o$b7o2b7o8b5o2b2o2b5o8b5ob4ob5o8b5o
2b2o2b5o$b2o2bo2b2o2bo2b2o8b2o2bo2b2o2bo2b2o8b2o2bo6bo2b2o8b2o2bo2b2o
2bo2b2o$4obo2b2o2bob4o6b4obo2b2o2bob4o6b4obo2b2o2bob4o6b4obo2b2o2bob4o
$3b3o2b2o2b3o12b3o2b2o2b3o12b3o2b2o2b3o12b3o2b2o2b3o$bob4o4b4obo8bob4o
4b4obo8bob4o4b4obo8bob4o4b4obo$3bo2bo4bo2bo12bo2bo4bo2bo12bo2bo4bo2bo
12bo2bo4bo2bo!
Edit 3: Errors in oscillators.db:

Code: Select all

Database file has bad format, glider 758: first rule is not subset of second!
Line:

::B01/S0135:B01458/S0123:4/2:0:0:2:3:2o2$o!

Database file has bad format, glider 935: first rule is not subset of second!
Line:

::B3/S034678:B37/S03478:14:0:0:5:5:o3bo2$o3bo$b3o$2bo!

Database file has bad format, glider 956: first rule is not subset of second!
Line:

::B36/S245:B36/S02478:14/2:0:0:7:7:5b2o$3bo2bo$3b2o$ob4o$b2o$b3o$bo!

Database file has bad format, glider 1258: first rule is not subset of second!
Line:

:dani, 2020:B0136/S0123:B0135/S0123:56/2:0:0:10:29:3bobo2$3bobo3$4b2o$4b2o3$2o6b2o$2o6b2o3$4b2o$4b2o12$3bobo2$3bobo!
And this typo in line 948:
:unknwon (Josh Ball?), 2015:B37/S25678:B3678/S25678:3:0:0:6:5:bo2bo$ob2obo$b4o$ob2obo$bo2bo!
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

User avatar
LaundryPizza03
Posts: 2295
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Re: Oscillators in Life-like cellular automata

Post by LaundryPizza03 » November 26th, 2021, 11:52 pm

Several more B23/S1 oscillators, including a self-complementary one and several with known spaceships:

Code: Select all

:LaundryPizza03, 2021:B23578/S14678:B23578/S14678:2:0:0:39:39:2bo4bo3bo2bo2bo3bo2bo2bo3bo4bo$4bo2b5o5b5o5b5o2bo$o4bo7bobo7bobo7bo4bo$3bob2ob3ob3o2bobobo2b3ob3ob2obo$bo2b3o2b7o7b7o2b3o2bo$2b3o3b6obo2bobo2bob6o3b3o$3b2ob2ob4o3b2obob2o3b4ob2ob2o$2o4bobob3obo4bo4bob3obobo4b2o$bobobob2ob2o2b2obobobob2o2b2ob2obobobo$bob4o4b2obobob3obobob2o4b4obo$bob6o2b2o2b9o2b2o2b6obo$2o2b7o3bobo2bo2bobo3b7o2b2o$3b5ob2obo2bob5obo2bob2ob5o$2b4o7b2o2b5o2b2o7b4o$o2b2o2b3obob13obob3o2b2o2bo$2bob2o2bobobobo2b5o2bobobobo2b2obo$6bo2b3o2bobob3obobo2b3o2bo$2obo2bobobob4ob5ob4obobobo2bob2o$bo3bo3b2ob7ob7ob2o3bo3bo$bobo2b12o3b12o2bobo$bo3bo3b2ob7ob7ob2o3bo3bo$2obo2bobobob4ob5ob4obobobo2bob2o$6bo2b3o2bobob3obobo2b3o2bo$2bob2o2bobobobo2b5o2bobobobo2b2obo$o2b2o2b3obob13obob3o2b2o2bo$2b4o7b2o2b5o2b2o7b4o$3b5ob2obo2bob5obo2bob2ob5o$2o2b7o3bobo2bo2bobo3b7o2b2o$bob6o2b2o2b9o2b2o2b6obo$bob4o4b2obobob3obobob2o4b4obo$bobobob2ob2o2b2obobobob2o2b2ob2obobobo$2o4bobob3obo4bo4bob3obobo4b2o$3b2ob2ob4o3b2obob2o3b4ob2ob2o$2b3o3b6obo2bobo2bob6o3b3o$bo2b3o2b7o7b7o2b3o2bo$3bob2ob3ob3o2bobobo2b3ob3ob2obo$o4bo7bobo7bobo7bo4bo$4bo2b5o5b5o5b5o2bo$2bo4bo3bo2bo2bo3bo2bo2bo3bo4bo!
:LaundryPizza03, 2021:B235678/S14678:B235678/S14678:2:0:0:33:33:5bo2bo2bo2bo3bo2bo2bo2bo$3bob4o5b5o5b4obo$5bo4b2o2bobobo2b2o4bo$bo3bo2bobo2bobobobo2bobo2bo3bo$4b3ob4ob7ob4ob3o$6o3b2o3b5o3b2o3b6o$bo2bobo2bo2bobobobobo2bo2bobo2bo$bo7bo2bobobobobo2bo7bo$2ob2o3b6ob3ob6o3b2ob2o$4b8obob3obob8o$2b4o2b6ob3ob6o2b4o$obobo3b17o3bobobo$6b3ob2o2b2ob2o2b2ob3o$3b2o3b4obo2bo2bob4o3b2o$3ob4o3b2ob5ob2o3b4ob3o$bob3o2b5ob5ob5o2b3obo$b2ob8ob7ob8ob2o$bob3o2b5ob5ob5o2b3obo$3ob4o3b2ob5ob2o3b4ob3o$3b2o3b4obo2bo2bob4o3b2o$6b3ob2o2b2ob2o2b2ob3o$obobo3b17o3bobobo$2b4o2b6ob3ob6o2b4o$4b8obob3obob8o$2ob2o3b6ob3ob6o3b2ob2o$bo7bo2bobobobobo2bo7bo$bo2bobo2bo2bobobobobo2bo2bobo2bo$6o3b2o3b5o3b2o3b6o$4b3ob4ob7ob4ob3o$bo3bo2bobo2bobobobo2bobo2bo3bo$5bo4b2o2bobobo2b2o4bo$3bob4o5b5o5b4obo$5bo2bo2bo2bo3bo2bo2bo2bo!
:LaundryPizza03, 2021:B235/S14678:B2358/S14678:2:0:0:39:39:4bo4bo2bo13bo2bo4bo$6bo2b5o3bo3bo3b5o2bo$2bo4b4o6b5o6b4o4bo$5b2o3b2o2bobo5bobo2b2o3b2o$o6b2o2b3o3bo3bo3b3o2b2o6bo$3bobobob5ob4ob4ob5obobobo$bobo2bobo3b3ob3ob3ob3o3bobo2bobo$2bob2ob3ob3ob9ob3ob3ob2obo$2bobob3o2b3o4b3o4b3o2b3obobo$3o2bobob4o4b5o4b4obobo2b3o$b3obo3b7ob5ob7o3bob3o$bob3ob8ob7ob8ob3obo$2o2b11ob3ob3ob11o2b2o$bo2b5ob3o4bobobo4b3ob5o2bo$3bo2bo3b3obo2bo3bo2bob3o3bo2bo$5bobo2bo4bo3bo3bo4bo2bobo$3bob3o3b2o3b2obob2o3b2o3b3obo$b2ob4ob6obob3obob6ob4ob2o$2bo2b8o4bobobo4b8o2bo$2bo4b5obob9obob5o4bo$2bo2b8o4bobobo4b8o2bo$b2ob4ob6obob3obob6ob4ob2o$3bob3o3b2o3b2obob2o3b2o3b3obo$5bobo2bo4bo3bo3bo4bo2bobo$3bo2bo3b3obo2bo3bo2bob3o3bo2bo$bo2b5ob3o4bobobo4b3ob5o2bo$2o2b11ob3ob3ob11o2b2o$bob3ob8ob7ob8ob3obo$b3obo3b7ob5ob7o3bob3o$3o2bobob4o4b5o4b4obobo2b3o$2bobob3o2b3o4b3o4b3o2b3obobo$2bob2ob3ob3ob9ob3ob3ob2obo$bobo2bobo3b3ob3ob3ob3o3bobo2bobo$3bobobob5ob4ob4ob5obobobo$o6b2o2b3o3bo3bo3b3o2b2o6bo$5b2o3b2o2bobo5bobo2b2o3b2o$2bo4b4o6b5o6b4o4bo$6bo2b5o3bo3bo3b5o2bo$4bo4bo2bo13bo2bo4bo!
:LaundryPizza03, 2021:B2357/S14678:B2357/S14678:2:0:0:39:39:2bo4bo2bo4bo2bobo2bo4bo2bo4bo$4bo2b4o4b4ob4o4b4o2bo$o4bo3b8o5b8o3bo4bo$3bob2ob5o2bo2b3o2bo2b5ob2obo$bo2b3o2b4obo4bo4bob4o2b3o2bo$2b3o3b4obob2o5b2obob4o3b3o$3b2ob2ob6o9b6ob2ob2o$2o4bobob6obobobob6obobo4b2o$bobobob2obob3ob7ob3obob2obobobo$b6o4b4ob7ob4o4b6o$9ob4o4b3o4b4ob9o$2b6ob2ob2obob5obob2ob2ob6o$2b3ob7o2b3obob3o2b7ob3o$2bo2b7o3b4ob4o3b7o2bo$2bobob4o5b3obob3o5b4obobo$4obobo3b17o3bobob4o$b2o2bo2b2o2b5ob3ob5o2b2o2bo2b2o$bo5b3ob5obo3bob5ob3o5bo$2obo4b4obob2ob3ob2obob4o4bob2o$3b2o2b6ob3ob3ob3ob6o2b2o$2obo4b4obob2ob3ob2obob4o4bob2o$bo5b3ob5obo3bob5ob3o5bo$b2o2bo2b2o2b5ob3ob5o2b2o2bo2b2o$4obobo3b17o3bobob4o$2bobob4o5b3obob3o5b4obobo$2bo2b7o3b4ob4o3b7o2bo$2b3ob7o2b3obob3o2b7ob3o$2b6ob2ob2obob5obob2ob2ob6o$9ob4o4b3o4b4ob9o$b6o4b4ob7ob4o4b6o$bobobob2obob3ob7ob3obob2obobobo$2o4bobob6obobobob6obobo4b2o$3b2ob2ob6o9b6ob2ob2o$2b3o3b4obob2o5b2obob4o3b3o$bo2b3o2b4obo4bo4bob4o2b3o2bo$3bob2ob5o2bo2b3o2bo2b5ob2obo$o4bo3b8o5b8o3bo4bo$4bo2b4o4b4ob4o4b4o2bo$2bo4bo2bo4bo2bobo2bo4bo2bo4bo!
:LaundryPizza03, 2021:B23568/S14678:B23568/S14678:2:0:0:31:31:5bo2bo4bo3bo4bo2bo$3bob4o2bob5obo2b4obo$5bo3bobobobobobobo3bo$bo3bo2bob3obobob3obo2bo3bo$4b3o6bo3bo6b3o$6o4b2ob5ob2o4b6o$bo2bobo2bo2b2o3b2o2bo2bobo2bo$bo8b2ob2ob2ob2o8bo$2obo4b2o3bo3bo3b2o4bob2o$2bo3bobob3obobob3obobo3bo$3bobobobo2bobobobo2bobobobo$b3obobobob3o3b3obobobob3o$3bo2bo2b6ob6o2bo2bo$3ob5o2b9o2b5ob3o$bobobobob2ob7ob2obobobobo$b2o2bo7b5o7bo2b2o$bobobobob2ob7ob2obobobobo$3ob5o2b9o2b5ob3o$3bo2bo2b6ob6o2bo2bo$b3obobobob3o3b3obobobob3o$3bobobobo2bobobobo2bobobobo$2bo3bobob3obobob3obobo3bo$2obo4b2o3bo3bo3b2o4bob2o$bo8b2ob2ob2ob2o8bo$bo2bobo2bo2b2o3b2o2bo2bobo2bo$6o4b2ob5ob2o4b6o$4b3o6bo3bo6b3o$bo3bo2bob3obobob3obo2bo3bo$5bo3bobobobobobobo3bo$3bob4o2bob5obo2b4obo$5bo2bo4bo3bo4bo2bo!
:LaundryPizza03, 2021:B23567/S1467:B23567/S14678:2:0:0:33:33:4bo4bo3bo2bo2bo3bo4bo$6bo2b5o5b5o2bo$2bo3bobo3b4ob4o3bobo3bo$5bobobobo2bobobo2bobobobo$o6bobo2bob5obo2bobo6bo$3bobobo4b2obobob2o4bobobo$b2o3bobo2b3ob3ob3o2bobo3b2o$3b3obob5o2bo2b5obob3o$2bo3bo2b2o2b7o2b2o2bo3bo$2ob2o2b4obo2bobo2bob4o2b2ob2o$bo5b5ob3ob3ob5o5bo$bobo2b2o2bo2bo2bo2bo2bo2b2o2bobo$b2ob4obo2b3obob3o2bob4ob2o$3o2b4ob5obob5ob4o2b3o$2b3o3bobob2o2bo2b2obobo3b3o$2bob3ob3o4b3o4b3ob3obo$o2b2ob3o2b5ob5o2b3ob2o2bo$2bob3ob3o4b3o4b3ob3obo$2b3o3bobob2o2bo2b2obobo3b3o$3o2b4ob5obob5ob4o2b3o$b2ob4obo2b3obob3o2bob4ob2o$bobo2b2o2bo2bo2bo2bo2bo2b2o2bobo$bo5b5ob3ob3ob5o5bo$2ob2o2b4obo2bobo2bob4o2b2ob2o$2bo3bo2b2o2b7o2b2o2bo3bo$3b3obob5o2bo2b5obob3o$b2o3bobo2b3ob3ob3o2bobo3b2o$3bobobo4b2obobob2o4bobobo$o6bobo2bob5obo2bobo6bo$5bobobobo2bobobo2bobobobo$2bo3bobo3b4ob4o3bobo3bo$6bo2b5o5b5o2bo$4bo4bo3bo2bo2bo3bo4bo!
:LaundryPizza03, 2021:B23568/S147:B23568/S1478:2:0:0:37:37:18bo$5bo4bo2bo9bo2bo4bo$7bo2b4o2bo3bo2b4o2bo$3bo3bobo6bobobo6bobo3bo$6bobobob3o2bobo2b3obobobo$bo6bobo2bo9bo2bobo6bo$4bobobo7bo3bo7bobobo$2b2o3b3o2bo2bob3obo2bo2b3o3b2o$4b4obo4bo7bo4bob4o$3bo3b2o3b2o9b2o3b2o3bo$b2ob2o7bo2b5o2bo7b2ob2o$2bo8bo2b2o2bo2b2o2bo8bo$2bobo2bobo2bo2bo2bo2bo2bo2bobo2bobo$b2ob2o3b2o2bo3bobo3bo2b2o3b2ob2o$4bo3bo2bo5bobo5bo2bo3bo$7bo3b2o3bobobo3b2o3bo$2b2o2bo3bo4bo5bo4bo3bo2b2o$4bo2bo2bo2b2o3bo3b2o2bo2bo2bo$o2bo3bo2b3o2bobobobo2b3o2bo3bo2bo$4bo2bo2bo2b2o3bo3b2o2bo2bo2bo$2b2o2bo3bo4bo5bo4bo3bo2b2o$7bo3b2o3bobobo3b2o3bo$4bo3bo2bo5bobo5bo2bo3bo$b2ob2o3b2o2bo3bobo3bo2b2o3b2ob2o$2bobo2bobo2bo2bo2bo2bo2bo2bobo2bobo$2bo8bo2b2o2bo2b2o2bo8bo$b2ob2o7bo2b5o2bo7b2ob2o$3bo3b2o3b2o9b2o3b2o3bo$4b4obo4bo7bo4bob4o$2b2o3b3o2bo2bob3obo2bo2b3o3b2o$4bobobo7bo3bo7bobobo$bo6bobo2bo9bo2bobo6bo$6bobobob3o2bobo2b3obobobo$3bo3bobo6bobobo6bobo3bo$7bo2b4o2bo3bo2b4o2bo$5bo4bo2bo9bo2bo4bo$18bo!
:LaundryPizza03, 2021:B23568/S1478:B23568/S1478:2:0:0:35:35:11bo2bo2bo2bo2bo$9bob4o5b4obo$11bo4bobo4bo$7bo3bobobobobobobo3bo$10b2ob4ob4ob2o$5bo6b5ob5o6bo$13b9o$3bo7b2ob2obob2ob2o7bo$13b2obobob2o$bo7bo2bobobobobobo2bo7bo$4bo8bo2bobo2bo8bo$5o2bo3b2o3bobo3b2o3bo2b5o$bo3bobobobobo3bo3bobobobobo3bo$bob4obobobobo5bobobobob4obo$2o2b6o3b2obobob2o3b6o2b2o$3b5o19b5o$2bob3ob4o2bo2bo2bo2b4ob3obo$o2bo2b2o4bo3bobo3bo4b2o2bo2bo$2bob3ob4o2bo2bo2bo2b4ob3obo$3b5o19b5o$2o2b6o3b2obobob2o3b6o2b2o$bob4obobobobo5bobobobob4obo$bo3bobobobobo3bo3bobobobobo3bo$5o2bo3b2o3bobo3b2o3bo2b5o$4bo8bo2bobo2bo8bo$bo7bo2bobobobobobo2bo7bo$13b2obobob2o$3bo7b2ob2obob2ob2o7bo$13b9o$5bo6b5ob5o6bo$10b2ob4ob4ob2o$7bo3bobobobobobobo3bo$11bo4bobo4bo$9bob4o5b4obo$11bo2bo2bo2bo2bo!
:LaundryPizza03, 2021:B0147/S02356:B0147/S02356:2:0:0:37:37:18bo$5bo4bo2bo9bo2bo4bo$7bo2b4o2bo3bo2b4o2bo$3bo3bobo6bobobo6bobo3bo$6bobobob3o2bobo2b3obobobo$bo6bobo2bo9bo2bobo6bo$4bobobo7bo3bo7bobobo$2b2o3b3o2bo2bob3obo2bo2b3o3b2o$4b4obo4bo7bo4bob4o$3bo3b2o3b2o9b2o3b2o3bo$b2ob2o7bo2b5o2bo7b2ob2o$2bo8bo2b2o2bo2b2o2bo8bo$2bobo2bobo2bo2bo2bo2bo2bo2bobo2bobo$b2ob2o3b2o2bo3bobo3bo2b2o3b2ob2o$4bo3bo2bo5bobo5bo2bo3bo$7bo3b2o3bobobo3b2o3bo$2b2o2bo3bo4bo5bo4bo3bo2b2o$4bo2bo2bo2b2o3bo3b2o2bo2bo2bo$o2bo3bo2b3o2bobobobo2b3o2bo3bo2bo$4bo2bo2bo2b2o3bo3b2o2bo2bo2bo$2b2o2bo3bo4bo5bo4bo3bo2b2o$7bo3b2o3bobobo3b2o3bo$4bo3bo2bo5bobo5bo2bo3bo$b2ob2o3b2o2bo3bobo3bo2b2o3b2ob2o$2bobo2bobo2bo2bo2bo2bo2bo2bobo2bobo$2bo8bo2b2o2bo2b2o2bo8bo$b2ob2o7bo2b5o2bo7b2ob2o$3bo3b2o3b2o9b2o3b2o3bo$4b4obo4bo7bo4bob4o$2b2o3b3o2bo2bob3obo2bo2b3o3b2o$4bobobo7bo3bo7bobobo$bo6bobo2bo9bo2bobo6bo$6bobobob3o2bobo2b3obobobo$3bo3bobo6bobobo6bobo3bo$7bo2b4o2bo3bo2b4o2bo$5bo4bo2bo9bo2bo4bo$18bo!
:LaundryPizza03, 2021:B0147/S02356:B0147/S02356:2:0:0:35:35:11bo2bo2bo2bo2bo$9bob4o5b4obo$11bo4bobo4bo$7bo3bobobobobobobo3bo$10b2ob4ob4ob2o$5bo6b5ob5o6bo$13b9o$3bo7b2ob2obob2ob2o7bo$13b2obobob2o$bo7bo2bobobobobobo2bo7bo$4bo8bo2bobo2bo8bo$5o2bo3b2o3bobo3b2o3bo2b5o$bo3bobobobobo3bo3bobobobobo3bo$bob4obobobobo5bobobobob4obo$2o2b6o3b2obobob2o3b6o2b2o$3b5o19b5o$2bob3ob4o2bo2bo2bo2b4ob3obo$o2bo2b2o4bo3bobo3bo4b2o2bo2bo$2bob3ob4o2bo2bo2bo2b4ob3obo$3b5o19b5o$2o2b6o3b2obobob2o3b6o2b2o$bob4obobobobo5bobobobob4obo$bo3bobobobobo3bo3bobobobobo3bo$5o2bo3b2o3bobo3b2o3bo2b5o$4bo8bo2bobo2bo8bo$bo7bo2bobobobobobo2bo7bo$13b2obobob2o$3bo7b2ob2obob2ob2o7bo$13b9o$5bo6b5ob5o6bo$10b2ob4ob4ob2o$7bo3bobobobobobobo3bo$11bo4bobo4bo$9bob4o5b4obo$11bo2bo2bo2bo2bo!
:LaundryPizza03, 2021:B2356/S1467:B2356/S14678:2:0:0:43:43:9bo2bo4bo2bobo2bo4bo2bo$7bob4o4b4ob4o4b4obo$9bo4b5o5b5o4bo$5bo3bo2bobo4b2ob2o4bobo2bo3bo$8b2ob5ob2ob3ob2ob5ob2o$3bo5b4o2bobo2bobo2bobo2b4o5bo$10b2obobo5bo5bobob2o$bo11bob2o2bobobo2b2obo11bo$4bo4b2o2b2o4b2ob2o4b2o2b2o4bo$6o2b4obob3o7b3obob4o2b6o$bo3b2ob2ob2o2bo2b7o2bo2b2ob2ob2o3bo$bo2b3o2b6o2b9o2b6o2b3o2bo$2ob3o4b3obo2bo7bo2bob3o4b3ob2o$4bob4obo2bo2bob2ob2obo2bo2bob4obo$2b3o3bo2b4o2bobo3bobo2b4o2bo3b3o$2bob4ob2o5bob3ob3obo5b2ob4obo$2bo4bobo5bo11bo5bobo4bo$3ob2o3bob4o6bo6b4obo3b2ob3o$b2obo5b2o3bo2b3ob3o2bo3b2o5bob2o$bobo3b2ob2ob3o2bo5bo2b3ob2ob2o3bobo$2ob3o2bob2obobo2bo2bo2bo2bobob2obo2b3ob2o$4bob2o2b2o5bo2bobo2bo5b2o2b2obo$2ob3o2bob2obobo2bo2bo2bo2bobob2obo2b3ob2o$bobo3b2ob2ob3o2bo5bo2b3ob2ob2o3bobo$b2obo5b2o3bo2b3ob3o2bo3b2o5bob2o$3ob2o3bob4o6bo6b4obo3b2ob3o$2bo4bobo5bo11bo5bobo4bo$2bob4ob2o5bob3ob3obo5b2ob4obo$2b3o3bo2b4o2bobo3bobo2b4o2bo3b3o$4bob4obo2bo2bob2ob2obo2bo2bob4obo$2ob3o4b3obo2bo7bo2bob3o4b3ob2o$bo2b3o2b6o2b9o2b6o2b3o2bo$bo3b2ob2ob2o2bo2b7o2bo2b2ob2ob2o3bo$6o2b4obob3o7b3obob4o2b6o$4bo4b2o2b2o4b2ob2o4b2o2b2o4bo$bo11bob2o2bobobo2b2obo11bo$10b2obobo5bo5bobob2o$3bo5b4o2bobo2bobo2bobo2b4o5bo$8b2ob5ob2ob3ob2ob5ob2o$5bo3bo2bobo4b2ob2o4bobo2bo3bo$9bo4b5o5b5o4bo$7bob4o4b4ob4o4b4obo$9bo2bo4bo2bobo2bo4bo2bo!
:LaundryPizza03, 2021:B2357/S15678:B23578/S15678:2:0:0:19:19:2bo4bo3bo4bo$4bo2b5o2bo$o3bobo5bobo3bo$4bob2o3b2obo$b4o3bobo3b4o$5b2obobob2o$2b2ob2ob3ob2ob2o$2obo3b5o3bob2o$bo2b11o2bo$bo4b7o4bo$bo2b11o2bo$2obo3b5o3bob2o$2b2ob2ob3ob2ob2o$5b2obobob2o$b4o3bobo3b4o$4bob2o3b2obo$o3bobo5bobo3bo$4bo2b5o2bo$2bo4bo3bo4bo!
:LaundryPizza03, 2021:B235/S15:B23578/S15678:2:0:0:29:29:8bo2bo2bo2bo2bo$8b4o5b4o$7b2obobobobobob2o$13bobo$9bo2bobobo2bo$9b3o5b3o$7bo2bobobobobo2bo$2bo3bobo2bo5bo2bobo3bo$3o4bo4bo3bo4bo4b3o$bo2b2o5bo5bo5b2o2bo$b2o2b2o5bo3bo5b2o2b2o$2o3bobobo2bo3bo2bobobo3b2o$2bobobobob2o2bo2b2obobobobo$3bo9bobo9bo$obobobo5bo3bo5bobobobo$3bo9bobo9bo$2bobobobob2o2bo2b2obobobobo$2o3bobobo2bo3bo2bobobo3b2o$b2o2b2o5bo3bo5b2o2b2o$bo2b2o5bo5bo5b2o2bo$3o4bo4bo3bo4bo4b3o$2bo3bobo2bo5bo2bobo3bo$7bo2bobobobobo2bo$9b3o5b3o$9bo2bobobo2bo$13bobo$7b2obobobobobob2o$8b4o5b4o$8bo2bo2bo2bo2bo!
:LaundryPizza03, 2021:B2356/S15:B235678/S15678:2/2:0:0:11:10:2bo2bo2bo$3o5b3o$bo2bobo2bo$b4ob4o$2o2bo4b2o$5b4o$5bo$b3o3b3o$3b5o$o2bo3bo2bo!
:LaundryPizza03, 2021:B235/S1567:B23578/S15678:2/2:0:0:12:12:3bo2bo$6b3o$4bo2bo$bo3b3o3bo$b7obo$2ob2o2b2o$3b2ob3ob2o$2bob7o$o3b3o3bo$4bo2bo$3b3o$5bo2bo!
I'm currently searching B23678/S15678 for a D2+-symmetric one at width 34, and B235/S15 for an oscillator that fits within a 13*64 bounding box, smaller than the D8-symmetric one in bounding box, but not necessarily population; the former has no D8-symmetric oscillators within a 46*46 bounding box, but even and odd sizes seem equally promising, while for the latter I've found the following:

Code: Select all

x = 64, y = 43, rule = B235/S15
bo2bo4bo3bo2bo2bo15bo4bo2bo2bo2bo3bo2bo2bo2bo$b4o2bob5o5b3o3bo3bo3b3o
2bob4o5b5o5b4o$2obobobob3o4b2o2bo4b5o4bobobobobobobobo2bo2bobobobob2o$
4bob2o2bo7b2o3b3o4bobobob2obo3bobob2ob2ob3obo$2bo4bo3b3ob2ob2o3bo2bobo
2bob2obo2b3ob2obobob6o3bobo$ob2obo2bo3b2obo3bo3b2o3bo3bo14bo2bob3o3bob
2obo$3bo3bo3bob3obo4bo3bo5bob2ob2o8bo2bobo3b4o$3bo2b4obo2b2ob3ob2o2b2o
b7ob2o8bo3bobo2bo3bobo$2o2bo2bo3bo4bobo2b2o2bo3bo5bobob2ob3obo3b6o4bob
2o$b2o2bo2bo2b3ob2obobo2bobo2bo4b2o5bo2bo3bobo4bo2b2o2b2o$bo2b2o2bo3bo
bo2b3o3b2o2bo2b3obo5b2o3bobobobobo4b2o2bo$3o4b5o5b5o4b5o4b4o4b4o5b5o4b
3o$2bo4bo3bo2bo2bo3bo4bo3bo4bo2bo4bo2bo2bo2bo3bo4bo3$bo2bo4bo3bo2bo2bo
15bo2bo8bo2bo2bo2bo4bo$b4o2bob5o5b3o3bo3bo3b3o5bo3b3o5b4o2bo$2obobobob
3o4b2o2bo4b5o4bo3b4o4bo3b2o3bo3bo$4bob2o2bo7b2o3b3o4bobobo3bo3bobobo3b
o2bo2b6o$2bo4bo3b3ob2ob2o3bo2bobo2bob3o2bo3bobob2o4bob3o3bo$ob2obo2bo
3b2obo3bo3b2o3bo3bo2bobobobo3bo3bo2b2o3bo2bo$3bo3bo3bob3obo4bo3bo5bob
2obobobo5bob2ob3o3b3o$3bo2b4obo2b2ob3ob2o2b2ob7o3bo2bo3bo9bo4b2o$2o2bo
2bo3bo4bobo2b2o2bo3bo7bo4bo2b2o7b4obo$b2o2bo2bo2b3ob2obobo2bobo2bo4b4o
2bob2o2bo2bo3b2obo2bo$bo2b2o2bo3bobo2b3o3b2o2bo2b3obo2b3o2bobobo2b3obo
bo2b3o$3o4b5o5b5o4b5o4b5o5b5o4b5o$2bo4bo3bo2bo2bo3bo4bo3bo4bo3bo2bo2bo
3bo4bo3bo2bo3$bo2bo4bo3bo2bo2bo15bo2bo2bo3bo2bo2bo3bo4bo$b4o2bob5o5b3o
3bo3bo3b3o5b5o5b5o2bo$2obobobob3o4b2o2bo4b5o4bobob2o4bo3b2o2bobo3bo$4b
ob2o2bo7b2o3b3o4bobobobobobo4b3o2bo4b6o$2bo4bo3b3ob2ob2o3bo2bobo2bob3o
bo2b4o2b2o3bob3o3bo$ob2obo2bo3b2obo3bo3b2o3bo3bo2bobo2b3obo3bobo2bo2bo
2bo$3bo3bo3bob3obo4bo3bo5bob2o2bob3o2bo2b2o2bo4b3o$3bo2b4obo2b2ob3ob2o
2b2ob7o2bo2b2o4bo4bo2bo4b2o$2o2bo2bo3bo4bobo2b2o2bo3bo7bo2bob3ob2o2b2o
2b3obo$b2o2bo2bo2b3ob2obobo2bobo2bo4b5o2bo2b2obob2ob2o4bo$bo2b2o2bo3bo
bo2b3o3b2o2bo2b3obo4b3o4bobobo2bo3b3o$3o4b5o5b5o4b5o4b5o5b3o5b5o$2bo4b
o3bo2bo2bo3bo4bo3bo4bo3bo2bo4bo2bo2bo3bo2bo!
The largest partial thus far for the former is:

Code: Select all

x = 20, y = 34, rule = B23678/S15678
5bo4bo3bo2bo$7bo2b5o$3bo3bo2bo2bo3bo$8bobobo$bo5b4obob4o$4bobo2bobo4bo
$6o6bobob2o$bo2bobo3bo2bob2o2bo$b3o2bo3b2obobob3o$2o2bo4b5o2b2obo$2bo
2bob6ob5o$3b3ob5o3b3o$obobob14o$2b4o2b3o2b5o$4b3obobob6o$2ob4obobob6o$
bob11o2b3o$bob11o2b3o$2ob4obobob6o$4b3obobob6o$2b4o2b3o2b5o$obobob14o$
3b3ob5o3b3o$2bo2bob6ob5o$2o2bo4b5o2b2obo$b3o2bo3b2obobob3o$bo2bobo3bo
2bob2o2bo$6o6bobob2o$4bobo2bobo4bo$bo5b4obob4o$8bobobo$3bo3bo2bo2bo3bo
$7bo2b5o$5bo4bo3bo2bo!
Both searches seem to be extremely slow in rlifesrc.
EDIT: The second search was pointless. I reduced the length to 24 and got this:

Code: Select all

#C B235/S15 - B2358/S15678
x = 23, y = 13, rule = B235/S15
bo2bo2bo2bo3bo2bo2bo$b4o5b5o5b3o$2obobobobo2bo4b2o2bo$6bobo2bo5bo2b2o$
2bobo3b6obo3bob2o$ob2obo3bo2bo2bo2bobo$4b4o2b3o2b4o$2bobo2bo2bo2bo3bob
2obo$2obo3bob6o3bobo$b2o2bo5bo2bobo$bo2b2o4bo2bobobobob2o$3o5b5o5b4o$
2bo2bo2bo3bo2bo2bo2bo!
EDIT:

Code: Select all

#C B235/S15 - B235678/S15678
x = 21, y = 13, rule = B235/S15
bo2bo2bo2bo2bo3bo2bo$b4o8b5o$2obobob4o2bo3b3o$6bobo2b2o4bo$2bobo4bobo
2b3obo$ob2obo2bob2o2bo4b2o$4b4o3bo5b3o$2bobo2b2o2bobo2bo2bo$2obo3bo2bo
b4o3bo$b2o2b3o2b2o3b6o$bo2b2o3bo4bo3bo$3o5b3o2b3o2bo$2bo2bo2bo6bo4bo!

Code: Select all

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

User avatar
wwei47
Posts: 1648
Joined: February 18th, 2021, 11:18 am

Re: Oscillators in Life-like cellular automata

Post by wwei47 » November 28th, 2021, 11:12 pm

It is VERY hard to find oscillators in B3/S2 with a period higher than 4. Here are some with periods 6, 8, and 12. I do not know of any other periods above 4. These were all found around the start of July.

Code: Select all

x = 13, y = 30, rule = B3/S2
5b2o$o4b2o4bo$12o$obo6bobo2$o10bo$obob4obobo$2o8b2o$2o8b2o$obob4obobo$
o10bo2$obo6bobo$12o$o4b2o4bo$5b2o2$6bo$7bo$4b2o$7bobo$2bobo3b2o$3bo$3b
2o5b2o$11bo$5b2o3bobo$5bobo$9b2o$7bo$8bo!

Code: Select all

x = 91, y = 43, rule = B3/S2
48b3o$48bo$46b2o2bobo$47bo5bo$44bo6bobo18b2o$46bo3bo19bobo$43bobo6bo
16bo3b3o$43bo5bo19bo5bo$44bobo2b2o17b2o6bo$48bo18b2o5b2o$43bo2b3o17bo
6b2o$37b2obob2o23bo5bo$40b2o25b3o3bo$30b3o2bo2bo31bobo$35bobo27b3ob2o$
35bo25bobo$29b2o4bo3bo14b2o4b2ob2o$18b2o6bob3o5bo3b3o10bo3bob2o$17bo2b
o4bo2bo2bo3b2o3b3ob2o5bo4b2obo$16b2o8bo5bo4bobo7bo3b2o$15b2o2b5o8bo12b
2obo5bo$16bo5b3o8bo11bo6b2o2bo$12b2o18b2o15b2obobob3o$13b2o31b2o9bo2bo
$6b2ob3o19bobo15bo8bo2bo$4bobo21bo2b2o27b3obo6b2o$3bo3b3o16b2o34bo2bo
4bo2bo$3bo5bo16bobobo33bo8b2o$2b2o6bo12b2o5bo36b5o2b2o$b2o5b2o14bo7bo
33b3o5bo$o6b2o12bobo5bobo45b2o$bo5bo12bo7bo47b2o$b3o3bo14bo5b2o49b3ob
2o$4bobo15bobobo57bobo$3b2o20b2o54b3o3bo$24bo56bo5bo$80bo6b2o$81b2o5b
2o$82b2o6bo$83bo5bo$83bo3b3o$84bobo$86b2o!

Code: Select all

x = 22, y = 42, rule = B3/S2
2b2o$2b2o$2b2o$2b2o$2b2o$2b2o2$4bo$5bobo$3bo3bobo$2bobo2bo2bo$2o7bo$2o
6bo$b2o5b2o2$bobo4bobo$2bo6b2o2bo$5bo8b2o$4b2o5bobobo$4b2o5bo5b2o$4bo
4bo7bo$2bobo5bobo5bobo$bo2bo8bo7bo$bo10b2o5bo$2b2o11bobobo$3b3o9b2o$4b
o12bo$7bo$6b2o$6bo$8bo$8bo3bo$8bob2obo$10bo2b2o$8bobo3b3o$8b2o7bo2$9bo
7b2o$10b3o3bobo$12b2o2bo$13bob2o$14bo!

Code: Select all

x = 95, y = 38, rule = B3/S2
5b2o18b2o18b2o18b2o18b2o$o4b2o4bo8bo4b2o4bo8bo4b2o4bo8bo4b2o4bo8bo4b2o
4bo$12o8b12o8b12o8b12o8b12o$obo6bobo8bobo6bobo8bobo6bobo8bobo6bobo8bo
bo6bobo2$o10bo8bo10bo8bo10bo8bo10bo8bo10bo$obob4obobo8bobob4obobo8bob
ob4obobo8bobob4obobo8bobob4obobo$2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b
2o$2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o8b2o$obob4obobo8bobob4obobo8bobo
b4obobo8bobob4obobo8bobob4obobo$o10bo8bo10bo8bo10bo8bo10bo8bo10bo2$ob
o6bobo8bobo6bobo8bobo6bobo8bobo6bobo8bobo6bobo$12o8b12o8b12o8b12o8b12o
$o4b2o4bo8bo4b2o4bo8bo4b2o4bo8bo4b2o4bo8bo4b2o4bo$5b2o18b2o18b2o18b2o
18b2o2$6bo19bo19bo19bo19bo$5bo2bo16bo2bo16bo2bo16bo2bo16bo2bo$5bo2bo16b
o2bo16bo2bo16bo2bo16bo2bo$7bo19bo19bo19bo19bo2$7b2o16b2o19b2o18b2o20b
2o$2bo4b2o4bo6bo4b2o4bo9bo4b2o4bo8bo4b2o4bo10bo4b2o4bo$2b12o6b12o9b12o
8b12o10b12o$2bobo6bobo6bobo6bobo9bobo6bobo8bobo6bobo10bobo6bobo2$2bo10b
o6bo10bo9bo10bo8bo10bo10bo10bo$2bobob4obobo6bobob4obobo9bobob4obobo8b
obob4obobo10bobob4obobo$2b2o8b2o6b2o8b2o9b2o8b2o8b2o8b2o10b2o8b2o$2b2o
8b2o6b2o8b2o9b2o8b2o8b2o8b2o10b2o8b2o$2bobob4obobo6bobob4obobo9bobob4o
bobo8bobob4obobo10bobob4obobo$2bo10bo6bo10bo9bo10bo8bo10bo10bo10bo2$2b
obo6bobo6bobo6bobo9bobo6bobo8bobo6bobo10bobo6bobo$2b12o6b12o9b12o8b12o
10b12o$2bo4b2o4bo6bo4b2o4bo9bo4b2o4bo8bo4b2o4bo10bo4b2o4bo$7b2o16b2o19b
2o18b2o20b2o!

Code: Select all

x = 82, y = 37, rule = B3/S2
48b3o$48bo$46b2o2bobo$47bo5bo$44bo6bobo$46bo3bo$43bobo6bo$43bo5bo$44bo
bo2b2o$48bo$43bo2b3o$37b2obob2o$40b2o32bobo$30b3o2bo2bo35bob3o$35bobo
25bo9bo5bo$35bo26bo2b3o4bobob3ob2o$29b2o4bo3bo11bo9bo2bobo5bobobo$18b
2o6bob3o5bo3b3obobobob2o3bo5b2o8b2ob2ob2ob2o$17bo2bo4bo2bo2bo3b2o3b3o
2b2obo2b4o2bo4bobo2bobo6bobobo$16b2o8bo5bo4bobo8bo8b4o8b4ob3obobo$15b
2o2b5o8bo11b3o18bobo2bo2bo5bo$16bo5b3o8bo13bo16b3o2bo4b3obo$12b2o18b2o
12bo2b2obo15bo7bobo$13b2o31bobobob2o$6b2ob3o19bobo11b2o6b2ob2o$4bobo
21bo2b2o21bobo$3bo3b3o16b2o30b3ob2o$3bo5bo16bobobo32bobo$2b2o6bo12b2o
5bo29b3o3bo$b2o5b2o14bo7bo27bo5bo$o6b2o12bobo5bobo27bo6b2o$bo5bo12bo7b
o31b2o5b2o$b3o3bo14bo5b2o31b2o6bo$4bobo15bobobo35bo5bo$3b2o20b2o35bo3b
3o$24bo38bobo$65b2o!
EDIT: Statorless P4 in HighLife:

Code: Select all

x = 11, y = 17, rule = B36/S23
bo7bo$obo5bobo2$2b2o3b2o$o2bo3bo2bo$bo2bobo2bo$3bo3bo2$4b3o$3bo3bo$4b
obo2$2bobobobo$b2o5b2o2$bobo3bobo$2o7b2o!
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

User avatar
Layz Boi
Posts: 264
Joined: October 25th, 2018, 3:57 pm

Re: Oscillators in Life-like cellular automata

Post by Layz Boi » December 24th, 2021, 8:27 pm

Some oscillators in B23/S1 rules. Some may already have smaller oscillators in their respective rule.

Code: Select all

x = 31, y = 31, rule = B236/S14678
3bo2bo4bo2bobo2bo4bo2bo$bob4o3b5ob5o3b4obo$3bo3bobobob2ob2obobobo3bo$3o4b2obo2bobobo2bob2o4b3o$bo2bob2obo3bobobo3bob2obo2bo$bo3b6ob7ob6o3bo$2o2b7ob3ob3ob7o2b2o$2b8ob3obob3ob8o$3bob8obobob8obo$2bob5ob4o3b4ob5obo$bobob2ob4obobobob4ob2obobo$3o4b17o4b3o$bo3b5ob9ob5o3bo$b7ob4o2bo2b4ob7o$3o2b2obo2b2o2bo2b2o2bob2o2b3o$3b3obo2b11o2bob3o$3o2b2obo2b2o2bo2b2o2bob2o2b3o$b7ob4o2bo2b4ob7o$bo3b5ob9ob5o3bo$3o4b17o4b3o$bobob2ob4obobobob4ob2obobo$2bob5ob4o3b4ob5obo$3bob8obobob8obo$2b8ob3obob3ob8o$2o2b7ob3ob3ob7o2b2o$bo3b6ob7ob6o3bo$bo2bob2obo3bobobo3bob2obo2bo$3o4b2obo2bobobo2bob2o4b3o$3bo3bobobob2ob2obobobo3bo$bob4o3b5ob5o3b4obo$3bo2bo4bo2bobo2bo4bo2bo!

Code: Select all

x = 19, y = 19, rule = B235/S15678
3bo4bo$b3o4b3o3bo2bo$2bo2b2o2bo4b4o$2b2o2b2obob2o2bob2o$b2obo8b2o$4b7ob2o2bo$3bobo3bobobob2o$3bo2b3o2bobobo$bo3bo2b4obo3b2o$b3ob2ob3ob2ob3o$2o3bob4o2bo3bo$3bobobo2b3o2bo$2b2obobobo3bobo$2bo2b2ob7o$4b2o8bob2o$2obo2b2obob2o2b2o$b4o4bo2b2o2bo$bo2bo3b3o4b3o$10bo4bo!

Code: Select all

x = 21, y = 21, rule = B2357/S1678
13bo4bo$3bo4bo2b3o2bo$5bo2b4obo2bo3bo$bo3bo2bo3b3o$7b2o3bo5b2o$2b2o3b4o3bo$8bobo2bobobo$4b2ob4o3bo2b4o$b8o7b2obo$2bo2bobo2bo7b2o$2bo2b3obobob3o2bo$b2o7bo2bobo2bo$bob2o7b8o$4o2bo3b4ob2o$3bobobo2bobo$6bo3b4o3b2o$b2o5bo3b2o$6b3o3bo2bo3bo$o3bo2bob4o2bo$4bo2b3o2bo4bo$2bo4bo!

Code: Select all

x = 60, y = 29, rule = B2357/S1567
38bo4bo3bo4bo$40bo2b5o2bo$3bo2bo4bo2bo4bo2bo17bo3bobo3bo$bob4o2bo6bo2b4obo13b6o3b6o$3bobobobo6bobobobo16bo2bobobobo2bo$4obo2b4o2b4o2bob4o13bo3bobobo3bo$bo3b2obo2b4o2bob2o3bo12bobo2bobobobo2bobo$b4ob2ob2o4b2ob2ob4o6bo2bo5b2ob2ob2ob2o5bo2bo$2o2b4obo6bob4o2b2o8b4obob2o5b2obob4o$2bo2b2ob10ob2o2bo8b3o3bo4b2ob2o4bo3b3o$3b2o2b12o2b2o11bo3b2ob2obobob2ob2o3bo$b3ob4obob2obob4ob3o9b2obobobo2bo3b2obobob2o$3bobob12obobo8b2obobobobo2b5o2bobobobob2o$o2b2o2b2ob2o2b2ob2o2b2o2bo6b2obob2ob8ob2ob2obob2o$4bo2b4o4b4o2bo10bo3bo6b2ob2o6bo3bo$4bo2b4o4b4o2bo10b2obob2ob2ob8ob2obob2o$o2b2o2b2ob2o2b2ob2o2b2o2bo5b2obobobobo2b5o2bobobobob2o$3bobob12obobo11b2obobob2o3bo2bobobob2o$b3ob4obob2obob4ob3o9bo3b2ob2obobob2ob2o3bo$3b2o2b12o2b2o9b3o3bo4b2ob2o4bo3b3o$2bo2b2ob10ob2o2bo10b4obob2o5b2obob4o$2o2b4obo6bob4o2b2o5bo2bo5b2ob2ob2ob2o5bo2bo$b4ob2ob2o4b2ob2ob4o12bobo2bobobobo2bobo$bo3b2obo2b4o2bob2o3bo14bo3bobobo3bo$4obo2b4o2b4o2bob4o13bo2bobobobo2bo$3bobobobo6bobobobo15b6o3b6o$bob4o2bo6bo2b4obo15bo3bobo3bo$3bo2bo4bo2bo4bo2bo17bo2b5o2bo$38bo4bo3bo4bo!

Code: Select all

x = 68, y = 34, rule = B235/S1578
$44bo2bo2bo2bo2bo2bo$9bo2bo2bo2bo2bo22b4o8b4o$7bob4o5b4obo19b2obo2bo4bo2bob2o$9b2o2bobobo2b2o26bo2b2o2bo$5bo3bobo2bobo2bobo3bo19bo3b2o2b2o3bo$8b2o2bo2bo2bo2b2o22b3o3b2o3b3o$3bo8b2o3b2o8bo15bo2bo2b2o2b2o2bo2bo$10b2o3bo3b2o17bo3bobo2b3ob2ob3o2bobo3bo$bo8bob7obo8bo6b3o4bo4bo6bo4bo4b3o$4bo3bo3bo5bo3bo3bo10bo2b2o5bobob2obobo5b2o2bo$5o4bo2b7o2bo4b5o6b2o2b2o6b2o2b2o6b2o2b2o$b2o3b2o3bo7bo3b2o3b2o6b2o3bobobob2o6b2obobobo3b2o$bobo2bo3bo2b2ob2o2bo3bo2bobo9bo3b2o2b2o6b2o2b2o3bo$2o2b2ob3o3bo3bo3b3ob2o2b2o7bobob2ob2o3b4o3b2ob2obobo$2bo2bobobob2o2bo2b2obobobo2bo7bo3bobo3bo2bo4bo2bo3bobo3bo$3bo3bobobo7bobobo3bo11bobobobo3bo4bo3bobobobo$obobob2obo3bo3bo3bob2obobobo8bobobobo3bo4bo3bobobobo$3bo3bobobo7bobobo3bo8bo3bobo3bo2bo4bo2bo3bobo3bo$2bo2bobobob2o2bo2b2obobobo2bo9bobob2ob2o3b4o3b2ob2obobo$2o2b2ob3o3bo3bo3b3ob2o2b2o8bo3b2o2b2o6b2o2b2o3bo$bobo2bo3bo2b2ob2o2bo3bo2bobo6b2o3bobobob2o6b2obobobo3b2o$b2o3b2o3bo7bo3b2o3b2o7b2o2b2o6b2o2b2o6b2o2b2o$5o4bo2b7o2bo4b5o6bo2b2o5bobob2obobo5b2o2bo$4bo3bo3bo5bo3bo3bo9b3o4bo4bo6bo4bo4b3o$bo8bob7obo8bo8bo3bobo2b3ob2ob3o2bobo3bo$10b2o3bo3b2o22bo2bo2b2o2b2o2bo2bo$3bo8b2o3b2o8bo17b3o3b2o3b3o$8b2o2bo2bo2bo2b2o22bo3b2o2b2o3bo$5bo3bobo2bobo2bobo3bo22bo2b2o2bo$9b2o2bobobo2b2o21b2obo2bo4bo2bob2o$7bob4o5b4obo20b4o8b4o$9bo2bo2bo2bo2bo22bo2bo2bo2bo2bo2bo!

Code: Select all

x = 20, y = 20, rule = B235/S1567
bo4bo$3bo2b3o3bo3bo2bo$3bobobo4b5o$b4o3b2obo4b3o$2bo2bo4b3o3bo$2bo2bo7b3obo$2bo2bo2b4o6b2o$b2obo3bo2bo5b2o$3b2ob2o4b2o2bobo$4bobo6bo2bo$3bo2bo6bobo$bobo2b2o4b2ob2o$b2o5bo2bo3bob2o$2o6b4o2bo2bo$2bob3o7bo2bo$3bo3b3o4bo2bo$b3o4bob2o3b4o$3b5o4bobobo$o2bo3bo3b3o2bo$13bo4bo!

Code: Select all

x = 21, y = 21, rule = B236/S1456
3bo4bo3bo4bo$5bo2b5o2bo$bo3bobo5bobo3bo$4bobo2b3o2bobo$6ob2o3b2ob6o$bo2b2o3b3o3b2o2bo$bobob5ob5obobo$2o5bo2b2obo5b2o$5b2o2b2o3b2o$5b2ob4ob3o$obob2ob2obob2ob2obobo$5b3ob4ob2o$5b2o3b2o2b2o$2o5bob2o2bo5b2o$bobob5ob5obobo$bo2b2o3b3o3b2o2bo$6ob2o3b2ob6o$4bobo2b3o2bobo$bo3bobo5bobo3bo$5bo2b5o2bo$3bo4bo3bo4bo!

Code: Select all

x = 21, y = 21, rule = B2367/S1456
3bo4bo3bo4bo$5bo2b5o2bo$bo3bobo5bobo3bo$4bobo2b3o2bobo$6ob2o3b2ob6o$bo2b2o3b3o3b2o2bo$bobob11obobo$2o5bo2bo2bo5b2o$5b2obo2bo2b2o$5b3o2b3ob2o$obob2obob3obob2obobo$5b2ob3o2b3o$5b2o2bo2bob2o$2o5bo2bo2bo5b2o$bobob11obobo$bo2b2o3b3o3b2o2bo$6ob2o3b2ob6o$4bobo2b3o2bobo$bo3bobo5bobo3bo$5bo2b5o2bo$3bo4bo3bo4bo!

Code: Select all

x = 30, y = 30, rule = B235678/S1367
4bo4bo2bo4bo2bo4bo$6bo2b4o4b4o2bo$2bo3bobobo3b2o3bobobo3bo$6b2o2b10o2b2o$o4bobob3o6b3obobo4bo$4bob2o2bob6obo2b2obo$b3ob4ob4o2b4ob4ob3o$3b4obob2obo2bob2obob4o$2bo3b4o2b2o2b2o2b4o3bo$2o2bo3b6o2b6o3bo2b2o$b7obo3b4o3bob7o$bob2ob2obob2o4b2obob2ob2obo$2obob2ob2ob8ob2ob2obob2o$3bob6ob6ob6obo$2b2obo4bob2o2b2obo4bob2o$2b2obo4bob2o2b2obo4bob2o$3bob6ob6ob6obo$2obob2ob2ob8ob2ob2obob2o$bob2ob2obob2o4b2obob2ob2obo$b7obo3b4o3bob7o$2o2bo3b6o2b6o3bo2b2o$2bo3b4o2b2o2b2o2b4o3bo$3b4obob2obo2bob2obob4o$b3ob4ob4o2b4ob4ob3o$4bob2o2bob6obo2b2obo$o4bobob3o6b3obobo4bo$6b2o2b10o2b2o$2bo3bobobo3b2o3bobobo3bo$6bo2b4o4b4o2bo$4bo4bo2bo4bo2bo4bo!

Code: Select all

x = 85, y = 39, rule = B23/S1357
10bo4bo2bobo2bo4bo27bo4bo2bobo2bo4bo$12bo2b4ob4o2bo31bo2b4ob4o2bo$8bo3bo2b3obob3o2bo3bo23bo3bo2b3obob3o2bo3bo$12b15o31b15o$9b4ob2o2bobo2b2ob4o25b4ob2o2bobo2b2ob4o$11bo3bobobobobo3bo29bo3bob2ob2obo3bo$6bo3b2obo2bob3obo2bob2o3bo19bo3b2obo2b7o2bob2o3bo$8bobo2bob4ob4obo2bobo23bobo2bob2o2bo2b2obo2bobo$2bo4b3o2bo2bobobobobo2bo2b3o4bo11bo4b3o2bo2bobo3bobo2bo2b3o4bo$4bo3b2obo3bob5obo3bob2o3bo15bo3b2obo3bob5obo3bob2o3bo$o3bob2o3bo3bo2bobo2bo3bo3b2obo3bo7bo3bob2o3b5o2b3o2b5o3b2obo3bo$4b3o2b3ob2obo5bob2ob3o2b3o15b3o2b4o3b2o3b2o3b4o2b3o$b4o3bo3bobo3b3o3bobo3bo3b4o9b4o3bob5obo2bo2bob5obo3b4o$3bo2b2o3bo4b2o3b2o4bo3b2o2bo13bo2b2o2bobob11obobo2b2o2bo$3b2o6b2obobob3obobob2o6b2o13b2o5bob3o9b3obo5b2o$6ob4o4b3obob3o4b4ob6o7b6ob4o2bobob2ob2obobo2b4ob6o$b3o2b2o3bob3o2bobo2b3obo3b2o2b3o9b3o2b2o3b3o3bo3bo3b3o3b2o2b3o$b3obob3o3bobo3bo3bobo3b3obob3o9b3ob2ob2obobob2o5b2obobob2ob2ob3o$2ob2ob2ob2obobobo2bo2bobobob2ob2ob2ob2o7b2ob4o2b2o2bobo7bobo2b2o2b4ob2o$2b2ob2ob2o2bob2ob2ob2ob2obo2b2ob2ob2o11b2o2b2ob2ob2o11b2ob2ob2o2b2o$2ob2ob2ob2obobobo2bo2bobobob2ob2ob2ob2o7b2ob4o2b2o2bobo7bobo2b2o2b4ob2o$b3obob3o3bobo3bo3bobo3b3obob3o9b3ob2ob2obobob2o5b2obobob2ob2ob3o$b3o2b2o3bob3o2bobo2b3obo3b2o2b3o9b3o2b2o3b3o3bo3bo3b3o3b2o2b3o$6ob4o4b3obob3o4b4ob6o7b6ob4o2bobob2ob2obobo2b4ob6o$3b2o6b2obobob3obobob2o6b2o13b2o5bob3o9b3obo5b2o$3bo2b2o3bo4b2o3b2o4bo3b2o2bo13bo2b2o2bobob11obobo2b2o2bo$b4o3bo3bobo3b3o3bobo3bo3b4o9b4o3bob5obo2bo2bob5obo3b4o$4b3o2b3ob2obo5bob2ob3o2b3o15b3o2b4o3b2o3b2o3b4o2b3o$o3bob2o3bo3bo2bobo2bo3bo3b2obo3bo7bo3bob2o3b5o2b3o2b5o3b2obo3bo$4bo3b2obo3bob5obo3bob2o3bo15bo3b2obo3bob5obo3bob2o3bo$2bo4b3o2bo2bobobobobo2bo2b3o4bo11bo4b3o2bo2bobo3bobo2bo2b3o4bo$8bobo2bob4ob4obo2bobo23bobo2bob2o2bo2b2obo2bobo$6bo3b2obo2bob3obo2bob2o3bo19bo3b2obo2b7o2bob2o3bo$11bo3bobobobobo3bo29bo3bob2ob2obo3bo$9b4ob2o2bobo2b2ob4o25b4ob2o2bobo2b2ob4o$12b15o31b15o$8bo3bo2b3obob3o2bo3bo23bo3bo2b3obob3o2bo3bo$12bo2b4ob4o2bo31bo2b4ob4o2bo$10bo4bo2bobo2bo4bo27bo4bo2bobo2bo4bo!

Code: Select all

x = 28, y = 28, rule = B23568/S157
8bo2bo4bo2bo$8b4o4b4o$7b2obo2b2o2bob2o$10bob4obo$9b3o4b3o$9bob6obo$10bobo2bobo$2bo4bob2o6b2obo4bo$3o5bobo6bobo5b3o$bo2b2obo2bobo2bobo2bob2o2bo$b4ob4ob6ob4ob4o$2o2b2o4b2o4b2o4b2o2b2o$3bob2o2b2ob4ob2o2b2obo$2b2obo4bobo2bobo4bob2o$2b2obo4bobo2bobo4bob2o$3bob2o2b2ob4ob2o2b2obo$2o2b2o4b2o4b2o4b2o2b2o$b4ob4ob6ob4ob4o$bo2b2obo2bobo2bobo2bob2o2bo$3o5bobo6bobo5b3o$2bo4bob2o6b2obo4bo$10bobo2bobo$9bob6obo$9b3o4b3o$10bob4obo$7b2obo2b2o2bob2o$8b4o4b4o$8bo2bo4bo2bo!

Code: Select all

x = 11, y = 10, rule = B2356/S156
2bo2bo2bo$3o5b3o$bo2bobo2bo$b4ob4o$2o2bo4b2o$5b4o$5bo$b3o3b3o$3b5o$o2bo3bo2bo!

Code: Select all

x = 17, y = 17, rule = B2357/S168
o4bo$2bo2b3o3bo2bo$bo2bobo4b5o$4bobobobob3o$2b2ob3o2bo2b2o$2o2b2obo2b2o2b2o$b4o4b5o$bo2b2ob4o$3bo3b3o3bo$6b4ob2o2bo$3b5o4b4o$b2o2b2o2bob2o2b2o$2b2o2bo2b3ob2o$2b3obobobobo$b5o4bobo2bo$2bo2bo3b3o2bo$11bo4bo!

Code: Select all

x = 32, y = 32, rule = B2357/S156
3bo2bo2bo2bo6bo2bo2bo2bo$bob4o5b3o2b3o5b4obo$3bobo3bo3bo4bo3bo3bobo$4obo3b3ob6ob3o3bob4o$bo3b2o4bo2bo2bo2bo4b2o3bo$b4o2bobo2bobo2bobo2bobo2b4o$2o2bo3b3o10b3o3bo2b2o$5bo2bo14bo2bo$6b2o2bo3b4o3bo2b2o$ob2ob2o2b2ob2o4b2ob2o2b2ob2obo$3bo2bob3o2b6o2b3obo2bo$3b2o6b2o6b2o6b2o$2o3bo3bob3o4b3obo3bo3b2o$b3o5b2ob2ob2ob2ob2o5b3o$bob3o2bobo4b2o4bobo2b3obo$3bo4bobo2b2o2b2o2bobo4bo$3bo4bobo2b2o2b2o2bobo4bo$bob3o2bobo4b2o4bobo2b3obo$b3o5b2ob2ob2ob2ob2o5b3o$2o3bo3bob3o4b3obo3bo3b2o$3b2o6b2o6b2o6b2o$3bo2bob3o2b6o2b3obo2bo$ob2ob2o2b2ob2o4b2ob2o2b2ob2obo$6b2o2bo3b4o3bo2b2o$5bo2bo14bo2bo$2o2bo3b3o10b3o3bo2b2o$b4o2bobo2bobo2bobo2bobo2b4o$bo3b2o4bo2bo2bo2bo4b2o3bo$4obo3b3ob6ob3o3bob4o$3bobo3bo3bo4bo3bo3bobo$bob4o5b3o2b3o5b4obo$3bo2bo2bo2bo6bo2bo2bo2bo!

Code: Select all

x = 30, y = 30, rule = B235678/S136
4bo4bo2bo4bo2bo4bo$6bo2b4o4b4o2bo$2bo4b4o3b2o3b4o4bo$6bo2b12o2bo$o4b4obobob2obobob4o4bo$4bo3b2ob3o2b3ob2o3bo$bob2ob3obobo4bobob3ob2obo$2bobobob3obob2obob3obobobo$2bob5o3b6o3b5obo$4obobo2b2o2b2o2b2o2bobob4o$b4ob2ob2ob2o2b2ob2ob2ob4o$bobobo3bo3b4o3bo3bobobo$2ob6obob2o2b2obob6ob2o$3bobo2bob3o4b3obo2bobo$2b3o2b3obo6bob3o2b3o$2b3o2b3obo6bob3o2b3o$3bobo2bob3o4b3obo2bobo$2ob6obob2o2b2obob6ob2o$bobobo3bo3b4o3bo3bobobo$b4ob2ob2ob2o2b2ob2ob2ob4o$4obobo2b2o2b2o2b2o2bobob4o$2bob5o3b6o3b5obo$2bobobob3obob2obob3obobobo$bob2ob3obobo4bobob3ob2obo$4bo3b2ob3o2b3ob2o3bo$o4b4obobob2obobob4o4bo$6bo2b12o2bo$2bo4b4o3b2o3b4o4bo$6bo2b4o4b4o2bo$4bo4bo2bo4bo2bo4bo!

Code: Select all

x = 22, y = 20, rule = B2356/S15
6bo4bo2bo$8bo2b4o$8bo3bob2o$6b3o3bo$7bo3b3o$2bo4bob2o2bobo2bo2bo$3o4bobo3bob4o$bo2b4obo3bo4b3o$b4o4b2o2b4o$2o2bo6b3o2bo$5bo2b3o6bo2b2o$5b4o2b2o4b4o$b3o4bo3bob4o2bo$3b4obo3bobo4b3o$o2bo2bobo2b2obo4bo$8b3o3bo$9bo3b3o$6b2obo3bo$7b4o2bo$7bo2bo4bo!

Code: Select all

x = 22, y = 22, rule = B2357/S14
3bo2bo4bo2bo4bo$bob4o3b5o2bo$3bo3bob2o5bo4bo$5obob3o3bobobo$bobo2b2obobob2ob2o2bo$bo6bobo3b6o$2ob2obobo2bob2obo$2bobo5bob2ob4ob2o$3bob2obo2b2ob2obo2bo$2b3o6b4o5bo$b3obobo2bob2obobo2b2o$2o2bobob2obo2bobob3o$bo5b4o6b3o$bo2bob2ob2o2bob2obo$2ob4ob2obo5bobo$5bob2obo2bobob2ob2o$2b6o3bobo6bo$bo2b2ob2obobob2o2bobo$3bobobo3b3obob5o$o4bo5b2obo3bo$4bo2b5o3b4obo$2bo4bo2bo4bo2bo!

Code: Select all

x = 13, y = 13, rule = B23568/S15
bo2bo2bo2bo$b4o5b3o$2obobob2o2bo$3bo2bob4o$2b2ob2o4b2o$obo3bobobo$3b7o$2bobobo3bobo$2o4b2ob2o$b4obo2bo$bo2b2obobob2o$3o5b4o$2bo2bo2bo2bo!

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LaundryPizza03
Posts: 2295
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Re: Oscillators in Life-like cellular automata

Post by LaundryPizza03 » March 16th, 2022, 12:08 am

Some oscillators in B1|B2-like B0 rules; oscillators are probably rare around here:

Code: Select all

x = 10, y = 9, rule = B013/S0127
o2bo2bo2bo2$2bob2obo$2bob2obo$4b2o$2bob2obo$2bob2obo2$o2bo2bo2bo!

Code: Select all

x = 7, y = 7, rule = B013/S027
o5bo2$2b3o$2bobo$2b3o2$o5bo!

Code: Select all

x = 6, y = 6, rule = B01/S037
o4bo2$2b2o$2b2o2$o4bo!

Code: Select all

x = 8, y = 8, rule = B02/S346
3b2o$3b2o$2b4o$8o$8o$2b4o$3b2o$3b2o!

Code: Select all

x = 15, y = 15, rule = B0137/S0137
bo6bo$5bo8bo$3b2obo$3bo4b2ob2o$4b2obob2obo$3b2ob2o2bo2bo$o2bo2bob2o2bo
$4b2o3b2o$2bo2b2obo2bo2bo$bo2bo2b2ob2o$2bob2obob2o$2b2ob2o4bo$8bob2o$o
8bo$6bo6bo!

Code: Select all

x = 15, y = 15, rule = B013/S027
o13bo$5bo3bo$2b11o$2b11o$2b2obo3bob2o$b5o3b5o$2b2o3bo3b2o$2b2o2b3o2b2o
$2b2o3bo3b2o$b5o3b5o$2b2obo3bob2o$2b11o$2b11o$5bo3bo$o13bo!

Code: Select all

x = 23, y = 27, rule = B013/S0127
3bo5bo3bo5bo2$o4b2obob3obob2o4bo$4bobobob3obobobo$2b2o4bo2bo2bo4b2o$2b
4ob3obob3ob4o$2b3o6bo6b3o$3b2o3bobobobo3b2o$o2b2obob3ob3obob2o2bo$6b2o
7b2o$3b2o2bo7bo2b2o$bo3b2o9b2o3bo$3b2o3b7o3b2o$3b2o2b9o2b2o$3b2o3b7o3b
2o$bo3b2o9b2o3bo$3b2o2bo7bo2b2o$6b2o7b2o$o2b2obob3ob3obob2o2bo$3b2o3bo
bobobo3b2o$2b3o6bo6b3o$2b4ob3obob3ob4o$2b2o4bo2bo2bo4b2o$4bobobob3obob
obo$o4b2obob3obob2o4bo2$3bo5bo3bo5bo!
An unexpected p472:

Code: Select all

x = 7, y = 10, rule = B013/S125
bo3bo$2b3o$7o$7o$3bo$7o$2bobo2$bo3bo$3bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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May13
Posts: 786
Joined: March 11th, 2021, 8:33 am

Re: Oscillators in Life-like cellular automata

Post by May13 » March 19th, 2022, 10:30 pm

Errors in oscillators.db:
Oscillator 162 is an invalid copy of Oscillator 1218 (Rob's p16; the first one shows period 20/2 instead of correct 16/2)
Oscillator 1435 is attributed to "Lazy Boi" instead of Layz Boi

Code: Select all

:Rob Liston, 2020:B3/S23:B378/S2378:20/2:0:0:9:8:8bo$5o3bo$2o3bo2bo$6bo$5b2o$bo$2b2ob2o$5b2o!
Rob's p16:Rob Liston, 2020:B3/S23:B378/S2378:16/2:0:0:8:9:5b2o$2bo2b2o$bo4bo$bo4bo$6bo$2obobo$2ob2o2$5b3o!

Code: Select all

:Lazy Boi, 2021:B236/S14678:B236/S14678:2:0:0:31:31:3bo2bo4bo2bobo2bo4bo2bo$bob4o3b5ob5o3b4obo$3bo3bobobob2ob2obobobo3bo$3o4b2obo2bobobo2bob2o4b3o$bo2bob2obo3bobobo3bob2obo2bo$bo3b6ob7ob6o3bo$2o2b7ob3ob3ob7o2b2o$2b8ob3obob3ob8o$3bob8obobob8obo$2bob5ob4o3b4ob5obo$bobob2ob4obobobob4ob2obobo$3o4b17o4b3o$bo3b5ob9ob5o3bo$b7ob4o2bo2b4ob7o$3o2b2obo2b2o2bo2b2o2bob2o2b3o$3b3obo2b11o2bob3o$3o2b2obo2b2o2bo2b2o2bob2o2b3o$b7ob4o2bo2b4ob7o$bo3b5ob9ob5o3bo$3o4b17o4b3o$bobob2ob4obobobob4ob2obobo$2bob5ob4o3b4ob5obo$3bob8obobob8obo$2b8ob3obob3ob8o$2o2b7ob3ob3ob7o2b2o$bo3b6ob7ob6o3bo$bo2bob2obo3bobobo3bob2obo2bo$3o4b2obo2bobobo2bob2o4b3o$3bo3bobobob2ob2obobobo3bo$bob4o3b5ob5o3b4obo$3bo2bo4bo2bobo2bo4bo2bo!
p3 and p5 in B356/S3568:

Code: Select all

x = 49, y = 49, rule = B356/S3568
44bo$44bo$42b5o$41bo2bo2bo$42b5o$41b3ob3o$41bob3obo$43b3o$40bob5obo$
44bo$41b7o$40b2o2bo2b2o$3b2o2b2o32bobobobo$5b2o34bo5bo$2bo6bo$o2b2o2b
2o2bo29bob3obo$o2b6o2bo29b2obob2o$bo2b4o2bo30bob3obo$bo2b4o2bo31b2ob2o
$o2b6o2bo29b3ob3o$o2b2o2b2o2bo30b5o$2bo6bo31b3ob3o$5b2o34b3ob3o$3b2o2b
2o34b3o$40b3o3b3o$43b3o$41b3ob3o$41b3ob3o$42b5o$41b3ob3o$42b2ob2o$41bo
b3obo$41b2obob2o$41bob3obo2$41bo5bo$41bobobobo$40b2o2bo2b2o$41b7o$44bo
$40bob5obo$43b3o$41bob3obo$41b3ob3o$42b5o$41bo2bo2bo$42b5o$44bo$44bo!
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

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LaundryPizza03
Posts: 2295
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Re: Oscillators in Life-like cellular automata

Post by LaundryPizza03 » March 27th, 2022, 4:52 am

p24 quadratic replicator hassler:

Code: Select all

x = 27, y = 27, rule = B026/S012
11bo9bo$10b3o7b3o$11bo9bo2$bo$3o$bo4$25bo$24b3o$25bo$10bo$bo$3o$bo3$
10bo$25bo$24b3o$25bo2$5bo9bo$4b3o7b3o$5bo9bo!
p56 failed quadratic replicator hassler, also works in B0245/S0123:

Code: Select all

x = 29, y = 29, rule = B0245/S123
6b3o17b3o$6b3o17b3o$6b3o17b3o4$3o$3o$3o8$10bobo$11bo$10bobo2$26b3o$26b
3o$26b3o4$3o17b3o$3o17b3o$3o17b3o!
B4/S01234 has been apgsearched in 4x64, but I have not sifted through any of the results.

p20 and p21 from B478/S01234678; this rule is likely apgsearchable in 4x64, but I have not tried it.

Code: Select all

x = 10, y = 10, rule = B478/S01234678
10o$obo6bo$2bobo2bo$3b4o3$3b4o$2bobo$o4bo$5obo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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May13
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Re: Oscillators in Life-like cellular automata

Post by May13 » April 23rd, 2022, 6:43 am

While testing my script for reading databases, I made maps for B3 and B2 rules:

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
             3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
                                             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          : 4 4 4 4 5 5 5 5 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9
S        8 : 4 4 4 4 5 5 5 5 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9
S       78 : 4 4 4 4 5 5 5 5 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9
S       7  : 4 4 4 4 5 5 5 5 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9
S      67  : 4 4 4 4 5 5 5 5 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9
S      678 : 4 4 4 4 5 5 5 5 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9
S      6 8 : 4 4 4 4 5 5 5 5 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9
S      6   : 4 4 4 4 5 5 5 5 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9
S     56   : 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 X X X X X X X X X X X X X X X X
S     56 8 : 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 X X X X X X X X X X X X X X X X
S     5678 : X X X X X X X X X X X X 9 9 9 9 X X X X X X X X X X X X X X X X
S     567  : 8 7 7 8 9 8 8 9 9 9 X X 9 9 9 9 X X X X X X X X X X X X X X X X
S     5 7  : 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 X X X X X X X X 9 9 9 9 X X X X
S     5 78 : 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 X X X X X X X X 9 9 9 9 X X X X
S     5  8 : 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 X X X X X X X X X X X X X X X X
S     5    : 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 X X X X X X X X 9 9 9 9 X X X X
S    45    : 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 X X X X X X X X X X X X X X X X
S    45  8 : X X X X X X X X 9 9 9 9 X X X X X X X X X X X X X X X X X X X X
S    45 78 : X X X X X X X X 9 9 9 9 X X X X X X X X X X X X X X X X X X X X
S    45 7  : 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 X X X X X X X X X X X X X X X X
S    4567  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S    45678 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S    456 8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S    456   : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S    4 6   : 8 8 7 7 8 8 9 9 X X X X X X X X X X X X X X X X X X X X X X X X
S    4 6 8 : 9 9 8 8 9 9 X X X X X X X X X X X X X X X X X X X X X X X X X X
S    4 678 : 9 9 8 8 9 9 X X X X X X X X X X X X X X X X X X X X X X X X X X
S    4 67  : 8 8 7 7 8 8 9 9 X X X X X X X X X X X X X X X X X X X X X X X X
S    4  7  : 5 5 5 5 6 6 6 6 8 8 8 8 8 8 8 8 X X X X X X X X X X X X X X X X
S    4  78 : 5 5 5 5 6 6 6 6 8 8 8 8 8 8 8 8 X X X X X X X X X X X X X X X X
S    4   8 : 5 5 5 5 6 6 6 6 8 8 8 8 8 8 8 8 X X X X X X X X X X X X X X X X
S    4     : 5 5 5 5 6 6 6 6 8 8 8 8 8 8 8 8 X X X X X X X X X X X X X X X X
S   34     : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S   34   8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S   34  78 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S   34  7  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S   34 67  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S   34 678 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S   34 6 8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S   34 6   : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S   3456   : X X X X 9 9 X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X
S   3456 8 : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X
S   345678 : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X
S   34567  : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 9 X X 9 X X X X
S   345 7  : X X X X 9 9 X X X X X X X X X X X X X X 9 9 9 9 X X X X X X X X
S   345 78 : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 X X X X X X X X
S   345  8 : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 X X X X X X X X
S   345    : X X X X 9 9 X X X X X X X X X X X X X X 9 9 9 9 X X X X X X X X
S   3 5    : X X X X 7 7 7 7 X X X X X X X X X X X X 9 9 9 9 8 8 8 8 X X X X
S   3 5  8 : X X X X 7 7 7 7 X X X X X X X X X X X X 9 9 9 9 8 8 8 8 9 9 X X
S   3 5 78 : X X X X 7 7 7 7 X X X X X X X X X X X X 9 9 9 9 8 8 8 8 9 9 X X
S   3 5 7  : X X X X 7 7 7 7 X X X X X X X X X X X X 9 9 9 9 8 8 8 8 9 9 X X
S   3 567  : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 8 8 8 8 9 9 9 9
S   3 5678 : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 8 8 8 8 9 9 9 9
S   3 56 8 : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 8 8 8 8 9 9 9 9
S   3 56   : X X X X 9 9 9 9 X X X X X X X X X X X X 9 9 9 9 8 8 8 8 9 9 9 9
S   3  6   : X X X X 8 8 X X X X X X X X X X 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8
S   3  6 8 : X X X X 9 9 X X X X X X X X X X X X 9 9 8 8 9 9 8 8 X 9 8 8 8 8
S   3  678 : X X X X 9 9 X X X X X X X X X X 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8
S   3  67  : X X X X 8 8 X X X X X X X X X X 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8
S   3   7  : 9 9 9 9 6 6 8 8 X X X X X X X X 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8
S   3   78 : 9 9 9 9 6 6 8 8 X X X X X X X X X X 9 9 8 8 8 8 8 8 8 8 8 8 8 8
S   3    8 : 9 9 9 9 6 6 8 8 X X X X X X X X X X X X 9 9 9 9 8 8 8 8 8 8 8 8
S   3      : 9 9 9 9 6 6 8 8 X X X X X X X X 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8
S  23      : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8
S  23    8 : X X X X X X X X X X X X X X X X 8 8 8 8 7 7 7 7 9 9 9 9 X X X X
S  23   78 : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 7 7 7 7 8 8 8 8
S  23   7  : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8
S  23  67  : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8
S  23  678 : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 7 7 7 7 8 8 8 8
S  23  6 8 : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 8 8 8 8 9 9 9 9
S  23  6   : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7
S  23 56   : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S  23 56 8 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S  23 5678 : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 7 7 7 7 8 8 8 8
S  23 567  : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 7 7 7 7 8 8 8 8
S  23 5 7  : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 7 7 7 7 8 8 8 8
S  23 5 78 : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 7 7 7 7 8 8 8 8
S  23 5  8 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S  23 5    : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S  2345    : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  2345  8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  2345 78 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  2345 7  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  234567  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 6 6 5 7 8 9 8
S  2345678 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  23456 8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  23456   : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  234 6   : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  234 6 8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  234 678 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  234 67  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  234  7  : X X X X X X X X 9 9 9 9 X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  234  78 : X X X X X X X X 9 9 9 9 X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  234   8 : X X X X X X X X 9 9 9 9 X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  234     : X X X X X X X X 9 9 9 9 X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S  2 4     : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 9 9 9 9 9 9 X X
S  2 4   8 : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 9 9 9 9 9 9 X X
S  2 4  78 : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 9 9 9 9 9 9 X X
S  2 4  7  : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 9 9 9 9 9 9 X X
S  2 4 67  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2 4 678 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2 4 6 8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2 4 6   : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2 456   : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2 456 8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2 45678 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2 4567  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2 45 7  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2 45 78 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2 45  8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2 45    : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2  5    : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2  5  8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2  5 78 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2  5 7  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2  567  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2  5678 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2  56 8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2  56   : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2   6   : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2   6 8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2   678 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2   67  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2    7  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2    78 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2     8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S  2       : 9 9 9 9 X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S 12       : X X X X X X X X 9 9 9 9 8 7 7 8 5 4 4 5 4 4 4 4 7 7 7 7 8 9 9 8
S 12     8 : X X X X X X X X 9 9 9 9 8 7 7 8 5 4 4 5 5 5 5 5 8 8 8 8 8 9 9 8
S 12    78 : X X X X X X X X 9 9 X X 8 7 7 8 5 4 4 5 5 5 5 5 8 8 8 8 8 9 9 8
S 12    7  : X X X X X X X X X 9 X X 8 7 7 8 5 4 4 5 4 4 4 4 7 7 7 7 8 9 9 8
S 12   67  : X X X X X X X X X X X X 9 8 8 9 6 5 5 6 5 5 5 5 7 7 7 7 7 8 8 7
S 12   678 : X X X X X X X X X X X X 9 8 8 9 6 5 5 6 5 5 5 5 7 7 7 7 7 8 8 7
S 12   6 8 : X X X X X X X X X X X X 9 8 8 9 6 5 5 6 5 5 5 5 7 7 7 7 7 8 8 7
S 12   6   : X X X X X X X X X X X X 9 8 8 9 6 5 5 6 5 5 5 5 7 7 7 7 7 8 8 7
S 12  56   : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 9 9 X X 8 8 8 8
S 12  56 8 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 9 9 X X 8 8 8 8
S 12  5678 : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 9 9 X X 8 8 8 8
S 12  567  : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 9 9 X X 8 8 8 8
S 12  5 7  : X X X X X X X X X X X X 9 9 9 9 5 5 5 5 5 5 5 5 X X X X 8 8 8 8
S 12  5 78 : X X X X X X X X 9 9 9 9 8 8 8 8 5 5 5 5 5 5 5 5 X X X X 8 8 8 8
S 12  5  8 : X X X X X X X X X X X X 9 9 9 9 5 5 5 5 5 5 5 5 X X X X 9 9 9 9
S 12  5    : X X X X X X X X X X X X X X X X 5 5 5 5 5 5 5 5 X X X X 8 8 8 8
S 12 45    : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 9 9 9 9 9 9 X X
S 12 45  8 : X X X X X X X X X X X X X X X X 5 5 5 5 5 5 5 5 9 9 9 9 9 9 X X
S 12 45 78 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 8 8 8 8 9 9
S 12 45 7  : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 9 9 9 9 9 9 X X
S 12 4567  : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S 12 45678 : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 9 9 9 9 9 9 X X
S 12 456 8 : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 9 9 9 9 9 9 X X
S 12 456   : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 X X X X X X X X
S 12 4 6   : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 8 8 8 8 9 9
S 12 4 6 8 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 8 8 8 8 9 9
S 12 4 678 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 8 8 8 8 9 9
S 12 4 67  : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 8 8 8 8 9 9
S 12 4  7  : X X X X X X X X 9 9 9 9 9 9 9 9 5 5 5 5 5 5 5 5 8 8 8 8 8 8 9 9
S 12 4  78 : X X X X X X X X 9 9 9 9 9 9 9 9 5 5 5 5 5 5 5 5 8 8 8 8 8 8 9 9
S 12 4   8 : X X X X X X X X 9 9 9 9 9 9 9 9 5 5 5 5 5 5 5 5 8 8 8 8 8 8 9 9
S 12 4     : X X X X X X X X 9 9 9 9 9 9 9 9 5 5 5 5 5 5 5 5 8 8 8 8 8 8 9 9
S 1234     : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 9 9 X X
S 1234   8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 9 9 X X
S 1234  78 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 9 9 X X
S 1234  7  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 9 9 X X
S 1234 67  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 8 8 9 9
S 1234 678 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 8 8 9 9
S 1234 6 8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 8 8 9 9
S 1234 6   : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 8 8 9 9
S 123456   : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 8 8 9 9
S 123456 8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 8 8 9 9
S 12345678 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 8 8 9 9
S 1234567  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 7 7 6 8 9 X 9
S 12345 7  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 8 8 9 9
S 12345 78 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 8 8 9 9
S 12345  8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 8 8 9 9
S 12345    : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 6 6 6 6 8 8 9 9
S 123 5    : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S 123 5  8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S 123 5 78 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S 123 5 7  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S 123 567  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S 123 5678 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S 123 56 8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S 123 56   : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S 123  6   : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S 123  6 8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S 123  678 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S 123  67  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S 123   7  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 7 7
S 123   78 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 7 7
S 123    8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 7 7
S 123      : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 7 7
S 1 3      : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 X X X X X X X X
S 1 3    8 : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 X X X X X X X X
S 1 3   78 : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 X X X X X X X X
S 1 3   7  : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 X X X X X X X X
S 1 3  67  : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 X X X X X X X X
S 1 3  678 : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 X X X X X X X X
S 1 3  6 8 : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 X X X X X X X X
S 1 3  6   : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 X X X X X X X X
S 1 3 56   : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7
S 1 3 56 8 : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7
S 1 3 5678 : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7
S 1 3 567  : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7
S 1 3 5 7  : X X X X X X X X X X X X X X X X 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8
S 1 3 5 78 : X X X X X X X X X X X X X X X X 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8
S 1 3 5  8 : X X X X X X X X X X X X X X X X 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8
S 1 3 5    : X X X X X X X X X X X X X X X X 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8
S 1 345    : X X X X X X X X 9 9 9 9 X X X X 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8
S 1 345  8 : X X X X X X X X 9 9 9 9 X X X X 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8
S 1 345 78 : X X X X X X X X 9 9 9 9 X X X X 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8
S 1 345 7  : X X X X X X X X 9 9 9 9 X X X X 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8
S 1 34567  : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 7 8 8 7 8 9 9 8
S 1 345678 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8
S 1 3456 8 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8
S 1 3456   : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8
S 1 34 6   : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 8 8 9 9 9 9
S 1 34 6 8 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 8 8 9 9 9 9
S 1 34 678 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 8 8 9 9 9 9
S 1 34 67  : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 8 8 9 9 9 9
S 1 34  7  : X X X X X X X X 9 9 9 9 X X X X 6 6 6 6 6 6 6 6 8 8 8 8 9 9 9 9
S 1 34  78 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 8 8 9 9 9 9
S 1 34   8 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 8 8 9 9 9 9
S 1 34     : X X X X X X X X 9 9 9 9 X X X X 6 6 6 6 6 6 6 6 8 8 8 8 9 9 9 9
S 1  4     : X X X X X X X X X X X X X X X X 9 9 8 8 9 9 X X 9 9 8 8 X X X X
S 1  4   8 : X X X X X X X X X X X X X X X X 8 8 7 7 8 8 9 9 8 8 7 7 9 9 X X
S 1  4  78 : X X X X X X X X X X X X X X X X 8 8 7 7 8 8 9 9 9 8 7 8 9 8 X X
S 1  4  7  : X X X X X X X X X X X X X X X X 9 9 8 8 9 9 X X X 9 8 9 X 9 X X
S 1  4 67  : X X X X X X X X X X X X X X X X 8 8 7 7 8 8 9 9 8 8 7 7 8 8 X X
S 1  4 678 : X X X X X X X X X X X X X X X X 8 8 7 7 8 8 9 9 8 8 7 7 8 8 X X
S 1  4 6 8 : X X X X X X X X X X X X X X X X 8 8 7 7 8 8 9 9 8 8 7 7 8 8 X X
S 1  4 6   : X X X X X X X X X X X X X X X X 8 8 7 7 8 8 9 9 8 8 7 7 8 8 X X
S 1  456   : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S 1  456 8 : X X X X X X X X X X X X X X X X X X 9 9 9 9 X X X X 9 9 X X X X
S 1  45678 : X X X X X X X X X X X X X X X X X X X X X X X X X X 9 9 9 9 X X
S 1  4567  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S 1  45 7  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S 1  45 78 : X X X X X X X X X X X X X X X X X X 9 9 9 9 X X 9 9 8 8 9 9 X X
S 1  45  8 : X X X X X X X X X X X X X X X X 9 9 8 8 8 8 9 9 X X 9 9 X X X X
S 1  45    : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S 1   5    : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7
S 1   5  8 : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
S 1   5 78 : 8 8 8 8 8 8 8 8 X X X X X X X X 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7
S 1   5 7  : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7
S 1   567  : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7
S 1   5678 : 8 8 8 8 9 9 9 9 X X X X X X X X 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8
S 1   56 8 : 8 8 8 8 9 9 9 9 X X X X X X X X 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7
S 1   56   : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7
S 1    6   : 6 6 6 6 6 6 6 6 9 9 9 9 9 9 9 9 7 7 7 7 6 6 6 6 6 6 6 6 9 8 8 9
S 1    6 8 : 6 6 6 6 6 6 6 6 9 9 9 9 9 9 9 9 7 7 7 7 6 6 6 6 6 6 6 6 9 8 8 9
S 1    678 : 6 6 6 6 6 6 6 6 9 9 9 9 9 9 9 9 7 7 7 7 6 6 6 6 6 6 6 6 9 8 8 9
S 1    67  : 6 6 6 6 6 6 6 6 9 9 9 9 9 9 9 9 7 8 8 7 6 7 7 6 6 7 7 6 9 9 9 9
S 1     7  : 6 6 6 6 6 6 6 6 9 9 9 9 9 9 9 9 7 7 7 7 6 6 6 6 6 6 6 6 9 8 8 9
S 1     78 : 6 6 6 6 6 6 6 6 9 9 9 9 9 9 9 9 7 9 X 8 6 6 6 6 6 6 6 6 9 8 8 9
S 1      8 : 6 6 6 6 6 6 6 6 9 9 9 9 9 9 9 9 7 7 7 7 6 7 6 6 6 6 6 6 9 8 8 9
S 1        : 6 6 6 6 6 6 6 6 9 9 9 9 9 9 9 9 7 7 7 7 6 7 6 6 6 6 6 6 9 8 8 9
S01        : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8
S01      8 : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8
S01     78 : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8
S01     7  : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8
S01    67  : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8
S01    678 : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8
S01    6 8 : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8
S01    6   : X X X X X X X X X X X X X X X X 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8
S01   56   : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 X X X X 9 9 9 9
S01   56 8 : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 X X X X 9 9 9 9
S01   5678 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X 9 9 X X
S01   567  : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X 9 9 9 9
S01   5 7  : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9
S01   5 78 : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9
S01   5  8 : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 X X X X X X X X
S01   5    : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9
S01  45    : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S01  45  8 : X X X X X X X X X X X X X X X X 9 9 8 8 8 8 9 9 X X X X X X X X
S01  45 78 : X X X X X X X X X X X X X X X X X X 9 9 9 9 X X X X X X X X X X
S01  45 7  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S01  4567  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S01  45678 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S01  456 8 : X X X X X X X X X X X X X X X X X X 9 9 9 9 X X X X X X X X X X
S01  456   : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S01  4 6   : X X X X X X X X X X X X X X X X 8 8 7 7 8 8 9 9 X X 9 9 X X X X
S01  4 6 8 : X X X X X X X X X X X X X X X X 8 8 7 7 8 8 9 9 X X 9 9 X X X X
S01  4 678 : X X X X X X X X X X X X X X X X 8 8 7 7 8 8 9 9 X X 9 9 X X X X
S01  4 67  : X X X X X X X X X X X X X X X X 8 8 7 7 8 8 9 9 X X 9 9 X X X X
S01  4  7  : X X X X X X X X X X X X X X X X 8 8 7 7 8 8 9 9 X X 9 9 X X X X
S01  4  78 : X X X X X X X X X X X X X X X X 7 7 6 6 7 7 8 8 9 9 8 8 9 9 X X
S01  4   8 : X X X X X X X X X X X X X X X X 7 7 6 6 7 7 8 8 9 9 8 8 9 9 X X
S01  4     : X X X X X X X X X X X X X X X X 8 8 7 7 8 8 9 9 X X 9 9 X X X X
S01 34     : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 34   8 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 34  78 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 34  7  : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 34 67  : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 34 678 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 34 6 8 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 34 6   : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 3456   : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 3456 8 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 345678 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 34567  : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 345 7  : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 345 78 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 345  8 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 345    : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S01 3 5    : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S01 3 5  8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S01 3 5 78 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S01 3 5 7  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S01 3 567  : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X
S01 3 5678 : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X
S01 3 56 8 : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X
S01 3 56   : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X
S01 3  6   : X X X X X X X X X X X X X X X X 9 9 9 9 8 8 8 8 X X X X X X X X
S01 3  6 8 : X X X X X X X X X X X X X X X X 9 9 9 9 8 8 8 8 X X X X X X X X
S01 3  678 : X X X X X X X X X X X X X X X X 9 9 9 9 8 8 8 8 X X X X X X X X
S01 3  67  : X X X X X X X X X X X X X X X X 9 9 9 9 8 8 8 8 X X X X X X X X
S01 3   7  : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 X X X X X X X X
S01 3   78 : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 X X X X X X X X
S01 3    8 : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 X X X X X X X X
S01 3      : X X X X X X X X X X X X X X X X X X X X 9 9 9 9 X X X X X X X X
S0123      : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 8 8 8 8
S0123    8 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 8 8 8 8
S0123   78 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 8 8 8 8
S0123   7  : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 8 8 8 8
S0123  67  : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0123  678 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0123  6 8 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0123  6   : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0123 56   : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0123 56 8 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0123 5678 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0123 567  : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0123 5 7  : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0123 5 78 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0123 5  8 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0123 5    : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S012345    : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 9 9 X X
S012345  8 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 9 9 X X
S012345 78 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 9 9 X X
S012345 7  : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 9 9 X X
S01234567  : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 8 8 7 9 X X X
S012345678 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 9 9 X X
S0123456 8 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 9 9 X X
S0123456   : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 9 9 X X
S01234 6   : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 9 9 X X
S01234 6 8 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 9 9 X X
S01234 678 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 9 9 X X
S01234 67  : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 9 9 X X
S01234  7  : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 X X X X
S01234  78 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 X X X X
S01234   8 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 X X X X
S01234     : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 7 7 7 7 X X X X
S012 4     : X X X X X X X X X X X X X X X X 5 5 5 5 5 5 5 5 8 8 8 8 8 8 9 9
S012 4   8 : X X X X X X X X X X X X X X X X 5 5 5 5 5 5 5 5 8 8 8 8 8 8 9 9
S012 4  78 : X X X X X X X X X X X X X X X X 5 5 5 5 5 5 5 5 8 8 8 8 8 8 9 9
S012 4  7  : X X X X X X X X X X X X X X X X 5 5 5 5 5 5 5 5 8 8 8 8 8 8 9 9
S012 4 67  : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 9 9 9 9 9 9 X X
S012 4 678 : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 9 9 9 9 9 9 X X
S012 4 6 8 : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 9 9 9 9 9 9 X X
S012 4 6   : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 9 9 9 9 9 9 X X
S012 456   : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S012 456 8 : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 X X X X X X X X
S012 45678 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S012 4567  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S012 45 7  : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 X X X X X X X X
S012 45 78 : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 9 9 9 9 9 9 X X
S012 45  8 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 X X X X X X X X
S012 45    : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 X X X X X X X X
S012  5    : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 9 9 7 7 7 7
S012  5  8 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 9 9 X X 8 8 8 8
S012  5 78 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 9 9 7 7 7 7
S012  5 7  : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 8 8 9 9 7 7 7 7
S012  567  : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 8 8 9 9 7 7 7 7
S012  5678 : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 8 8 9 9 7 7 7 7
S012  56 8 : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 8 8 9 9 7 7 7 7
S012  56   : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 8 8 9 9 7 7 7 7
S012   6   : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
S012   6 8 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
S012   678 : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
S012   67  : X X X X X X X X X X X X X X X X 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
S012    7  : X X X X X X X X 9 9 9 9 X X X X 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6
S012    78 : X X X X X X X X 9 9 9 9 X X X X 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6
S012     8 : X X X X X X X X 9 9 9 9 X X X X 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6
S012       : X X X X X X X X 9 9 9 9 X X X X 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6
S0 2       : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2     8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2    78 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2    7  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2   67  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2   678 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2   6 8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2   6   : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2  56   : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2  56 8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2  5678 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2  567  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2  5 7  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2  5 78 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2  5  8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2  5    : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2 45    : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2 45  8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2 45 78 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2 45 7  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2 4567  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2 45678 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2 456 8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2 456   : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2 4 6   : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2 4 6 8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2 4 678 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2 4 67  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0 2 4  7  : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S0 2 4  78 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S0 2 4   8 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S0 2 4     : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S0 234     : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 234   8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 234  78 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 234  7  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 234 67  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 234 678 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 234 6 8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 234 6   : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 23456   : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 23456 8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 2345678 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 234567  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 6 6 5 7 8 9 8
S0 2345 7  : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 2345 78 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 2345  8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 2345    : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 7 7 8 8
S0 23 5    : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S0 23 5  8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S0 23 5 78 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0 23 5 7  : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0 23 567  : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0 23 5678 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0 23 56 8 : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S0 23 56   : X X X X X X X X X X X X X X X X 4 4 4 4 3 3 3 3 5 5 5 5 6 6 6 6
S0 23  6   : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6
S0 23  6 8 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0 23  678 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0 23  67  : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7
S0 23   7  : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7
S0 23   78 : X X X X X X X X X X X X X X X X 5 5 5 5 4 4 4 4 6 6 6 6 7 7 7 7
S0 23    8 : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 7 7 7 7 8 8 8 8
S0 23      : X X X X X X X X X X X X X X X X 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7
S0  3      : X X X X 8 9 X X X X X X X X X X 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5
S0  3    8 : X X X X 8 9 X X X X X X X X X X 7 7 8 8 8 8 7 7 6 6 6 6 5 5 5 5
S0  3   78 : X X X X 8 8 X X X X X X X X X X 7 7 7 7 7 7 7 7 6 6 6 6 7 6 6 6
S0  3   7  : X X X X 8 8 X X X X X X X X X X 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6
S0  3  67  : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 7 6 6 7 5 5 5 5
S0  3  678 : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 7 6 6 7 5 5 5 5
S0  3  6 8 : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 7 6 6 7 5 5 5 5
S0  3  6   : X X X X X X X X X X X X X X X X 7 7 7 7 7 7 7 7 7 6 6 7 5 5 5 5
S0  3 56   : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6
S0  3 56 8 : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6
S0  3 5678 : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6
S0  3 567  : X X X X X X X X X X X X X X X X 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6
S0  3 5 7  : X X X X 8 8 8 8 X X X X X X X X 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6
S0  3 5 78 : X X X X 8 8 8 8 X X X X X X X X 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6
S0  3 5  8 : X X X X 8 9 9 8 X X X X X X X X 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6
S0  3 5    : X X X X 8 9 9 8 X X X X X X X X 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6
S0  345    : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 9 9 9 9 X X X X
S0  345  8 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 9 9 9 9 X X X X
S0  345 78 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 9 9 9 9 X X X X
S0  345 7  : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 9 9 9 9 X X X X
S0  34567  : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 8 9 9 8 9 X X 9
S0  345678 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9
S0  3456 8 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9
S0  3456   : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9
S0  34 6   : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X 9 9 X X X X
S0  34 6 8 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 9 9 8 8 X X X X
S0  34 678 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X 9 9 X X X X
S0  34 67  : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 9 9 8 8 9 9 X X
S0  34  7  : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X 9 9 X X X X
S0  34  78 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S0  34   8 : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X 9 9 X X X X
S0  34     : X X X X X X X X X X X X X X X X 9 9 9 9 9 9 9 9 X X X X X X X X
S0   4     : 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9
S0   4   8 : 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9
S0   4  78 : 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9
S0   4  7  : 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9
S0   4 67  : 7 7 6 6 6 6 7 7 8 8 7 7 9 9 X X 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8
S0   4 678 : 8 8 7 7 7 7 8 8 9 9 8 9 X X X X 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8
S0   4 6 8 : 8 8 7 7 7 7 8 8 9 9 8 8 X X X X 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8
S0   4 6   : 7 7 6 6 6 6 7 7 8 8 7 7 9 9 X X 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8
S0   456   : X X X X X X X X X X 9 9 X X X X X X X X X X X X X X X X X X X X
S0   456 8 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0   45678 : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0   4567  : X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
S0   45 7  : 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 X X X X X X X X X X X X X X X X
S0   45 78 : 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 X X X X X X X X X X X X X X X X
S0   45  8 : X X X X 9 9 9 9 7 7 7 7 8 8 8 8 X X X X X X X X X X X X X X X X
S0   45    : 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 X X X X X X X X X X X X X X X X
S0    5    : 5 5 5 5 6 6 6 6 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6
S0    5  8 : 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7
S0    5 78 : 4 4 4 4 5 5 5 5 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 6 6 6 6
S0    5 7  : 5 5 5 5 6 6 6 6 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 6 6 6 6
S0    567  : 7 6 6 7 8 7 7 8 X X X X 9 9 9 9 8 8 8 8 8 8 8 8 9 9 X X 7 7 7 7
S0    5678 : X 9 8 9 X 9 8 9 X X X X 9 9 9 9 8 8 8 8 8 8 8 8 9 9 X X 7 7 7 7
S0    56 8 : 5 5 5 5 6 6 6 6 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7
S0    56   : 6 6 6 6 7 7 7 7 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7
S0     6   : 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4
S0     6 8 : 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4
S0     678 : 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4
S0     67  : 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4
S0      7  : 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4
S0      78 : 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 4 4 4 4
S0       8 : 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 4 4 4 4
S0         : 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4

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          : 8 8 8 8 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5
S        8 : 8 8 8 8 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5
S       78 : 8 8 8 8 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5
S       7  : 8 8 8 8 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5
S      67  : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5
S      678 : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5
S      6 8 : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5
S      6   : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5
S     56   : 8 7 7 8 8 7 7 8 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 6 5 5 6 6 5 5 6
S     56 8 : 8 7 7 8 8 7 7 8 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 6 5 5 6 6 5 5 6
S     5678 : 8 7 7 8 8 7 7 8 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 6 5 5 6 6 5 5 6
S     567  : 8 7 7 8 8 7 7 8 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 6 5 5 6 6 5 5 6
S     5 7  : 8 7 7 8 8 7 7 8 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 6 5 5 6 6 5 5 6
S     5 78 : 8 7 7 8 8 7 7 8 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 6 5 5 6 6 5 5 6
S     5  8 : 8 7 7 8 8 7 7 8 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 6 5 5 6 6 5 5 6
S     5    : 8 7 7 8 8 7 7 8 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 6 5 5 6 6 5 5 6
S    45    : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    45  8 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    45 78 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    45 7  : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    4567  : 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    45678 : 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    456 8 : 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    456   : 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    4 6   : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    4 6 8 : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    4 678 : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    4 67  : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    4  7  : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    4  78 : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    4   8 : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S    4     : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S   34     : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S   34   8 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S   34  78 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S   34  7  : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S   34 67  : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S   34 678 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S   34 6 8 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S   34 6   : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S   3456   : 7 8 8 7 6 7 7 6 5 6 6 5 6 7 7 6 5 6 6 5 5 6 6 5 5 6 6 5 5 6 6 5
S   3456 8 : 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
S   345678 : 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
S   34567  : 7 8 8 7 6 7 7 6 5 6 6 5 6 7 7 6 5 6 6 5 5 6 6 5 5 6 6 5 5 6 6 5
S   345 7  : 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
S   345 78 : 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
S   345  8 : 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
S   345    : 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
S   3 5    : 6 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S   3 5  8 : 6 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S   3 5 78 : 6 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S   3 5 7  : 6 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S   3 567  : 6 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S   3 5678 : 6 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S   3 56 8 : 6 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S   3 56   : 6 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S   3  6   : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S   3  6 8 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S   3  678 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S   3  67  : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S   3   7  : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S   3   78 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S   3    8 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S   3      : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S  23      : 9 8 8 9 9 8 8 9 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S  23    8 : 9 8 8 9 9 8 8 9 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S  23   78 : 9 8 8 9 9 8 8 9 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S  23   7  : 9 8 8 9 9 8 8 9 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S  23  67  : 9 8 8 9 9 8 8 9 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S  23  678 : 9 8 8 9 9 8 8 9 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S  23  6 8 : 9 8 8 9 9 8 8 9 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S  23  6   : 9 8 8 9 9 8 8 9 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S  23 56   : X 9 9 X X 9 9 X 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  23 56 8 : X 9 9 X X 9 9 X 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  23 5678 : X 9 9 X X 9 9 X 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  23 567  : X 9 9 X X 9 9 X 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  23 5 7  : X 9 9 X X 9 9 X 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  23 5 78 : X 9 9 X X 9 9 X 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  23 5  8 : X 9 9 X X 9 9 X 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  23 5    : X 9 9 X X 9 9 X 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  2345    : X X X X X X X X 7 7 7 7 8 8 8 8 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S  2345  8 : X X X X X X X X 7 7 7 7 8 8 8 8 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S  2345 78 : X X X X X X X X 7 7 7 7 8 8 8 8 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S  2345 7  : X X X X X X X X 7 7 7 7 8 8 8 8 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S  234567  : X X X X X X X X 7 8 8 7 8 9 9 8 4 5 5 4 4 5 5 4 6 7 7 6 6 7 7 6
S  2345678 : X X X X X X X X 7 7 7 7 8 8 8 8 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S  23456 8 : X X X X X X X X 7 7 7 7 8 8 8 8 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S  23456   : X X X X X X X X 7 8 8 7 8 9 9 8 4 5 5 4 4 5 5 4 6 7 7 6 6 7 7 6
S  234 6   : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  234 6 8 : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  234 678 : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  234 67  : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  234  7  : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  234  78 : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  234   8 : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  234     : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S  2 4     : 8 7 7 8 8 7 7 8 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S  2 4   8 : 8 7 7 8 8 7 7 8 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S  2 4  78 : 8 7 7 8 8 7 7 8 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S  2 4  7  : 8 7 7 8 8 7 7 8 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S  2 4 67  : 9 7 7 9 9 7 7 9 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S  2 4 678 : 9 7 7 9 9 7 7 9 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S  2 4 6 8 : 9 7 7 9 9 7 7 9 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S  2 4 6   : 9 7 7 9 9 7 7 9 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S  2 456   : 9 8 8 9 9 8 8 9 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 4 3 3 4 5 4 4 5
S  2 456 8 : 9 8 8 9 9 8 8 9 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 4 3 3 4 5 4 4 5
S  2 45678 : 9 8 8 9 9 8 8 9 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 4 3 3 4 5 4 4 5
S  2 4567  : 9 8 8 9 9 8 8 9 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 4 3 3 4 5 4 4 5
S  2 45 7  : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S  2 45 78 : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S  2 45  8 : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S  2 45    : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S  2  5    : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2  5  8 : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2  5 78 : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2  5 7  : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2  567  : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2  5678 : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2  56 8 : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2  56   : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2   6   : X X X X X X X X 7 7 7 7 7 7 7 7 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5
S  2   6 8 : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2   678 : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2   67  : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2    7  : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2    78 : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2     8 : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S  2       : X X X X X X X X 7 7 7 7 7 7 7 7 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S 12       : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12     8 : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12    78 : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12    7  : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12   67  : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12   678 : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12   6 8 : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12   6   : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12  56   : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12  56 8 : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12  5678 : 5 4 4 5 5 4 4 5 2 2 2 2 2 2 2 2 1 1 1 1 . . . . . . . . 1 1 1 1
S 12  567  : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12  5 7  : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12  5 78 : 5 4 4 5 5 4 4 5 2 2 2 2 2 2 2 2 1 1 1 1 . . . . . . . . 1 1 1 1
S 12  5  8 : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12  5    : 4 3 3 4 4 3 3 4 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1
S 12 45    : 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 3 3 3 3
S 12 45  8 : 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 3 3 3 3
S 12 45 78 : 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 2 2 2 2 3 3 3 3
S 12 45 7  : 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 3 3 3 3
S 12 4567  : 6 5 5 6 6 5 5 6 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 3 2 2 3 4 3 3 4
S 12 45678 : 7 6 6 7 7 6 6 7 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 3 2 2 3 4 3 3 4
S 12 456 8 : 6 5 5 6 6 5 5 6 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 3 2 2 3 4 3 3 4
S 12 456   : 6 5 5 6 6 5 5 6 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 3 2 2 3 4 3 3 4
S 12 4 6   : 5 4 4 5 5 4 4 5 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S 12 4 6 8 : 5 4 4 5 5 4 4 5 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S 12 4 678 : 5 4 4 5 5 4 4 5 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S 12 4 67  : 5 4 4 5 5 4 4 5 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S 12 4  7  : 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S 12 4  78 : 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S 12 4   8 : 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S 12 4     : 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S 1234     : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S 1234   8 : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S 1234  78 : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S 1234  7  : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S 1234 67  : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S 1234 678 : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S 1234 6 8 : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S 1234 6   : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S 123456   : 6 8 8 6 6 8 8 6 4 6 6 4 4 6 6 4 3 5 5 3 3 5 5 3 5 7 7 5 5 7 7 5
S 123456 8 : 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5
S 12345678 : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5
S 1234567  : 6 8 8 6 6 8 8 6 4 6 6 4 4 6 6 4 3 5 5 3 3 5 5 3 5 7 7 5 5 7 7 5
S 12345 7  : 6 7 7 6 6 7 7 6 4 5 5 4 4 5 5 4 3 4 4 3 3 4 4 3 5 6 6 5 5 6 6 5
S 12345 78 : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5
S 12345  8 : 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5
S 12345    : 6 7 7 6 6 7 7 6 4 5 5 4 4 5 5 4 3 4 4 3 3 4 4 3 5 6 6 5 5 6 6 5
S 123 5    : 4 3 3 4 4 3 3 4 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S 123 5  8 : 4 3 3 4 4 3 3 4 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S 123 5 78 : 5 4 4 5 5 4 4 5 3 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S 123 5 7  : 4 3 3 4 4 3 3 4 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S 123 567  : 4 3 3 4 4 3 3 4 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S 123 5678 : 5 4 4 5 5 4 4 5 3 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S 123 56 8 : 4 3 3 4 4 3 3 4 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S 123 56   : 4 3 3 4 4 3 3 4 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S 123  6   : 3 2 2 3 3 2 2 3 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1 1 1 1 1
S 123  6 8 : 3 2 2 3 3 2 2 3 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1 1 1 1 1
S 123  678 : 3 2 2 3 3 2 2 3 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1 1 1 1 1
S 123  67  : 3 2 2 3 3 2 2 3 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1 1 1 1 1
S 123   7  : 3 2 2 3 3 2 2 3 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1 1 1 1 1
S 123   78 : 3 2 2 3 3 2 2 3 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1 1 1 1 1
S 123    8 : 3 2 2 3 3 2 2 3 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1 1 1 1 1
S 123      : 3 2 2 3 3 2 2 3 1 1 1 1 1 1 1 1 . . . . . . . . 1 1 1 1 1 1 1 1
S 1 3      : 1 1 1 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S 1 3    8 : 1 1 1 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S 1 3   78 : 1 1 1 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S 1 3   7  : 1 1 1 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S 1 3  67  : 1 1 1 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S 1 3  678 : 1 1 1 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S 1 3  6 8 : 1 1 1 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S 1 3  6   : 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 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 1 1 1 1
S 1 3 5678 : 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 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 1 1 1 1
S 1 3 5 78 : 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 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 1 1 1 1 1 1 1 1
S 1 345    : 3 4 4 3 3 4 4 3 3 4 4 3 3 4 4 3 3 4 4 3 3 4 4 3 3 4 4 3 3 4 4 3
S 1 345  8 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S 1 345 78 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S 1 345 7  : 3 4 4 3 3 4 4 3 3 4 4 3 3 4 4 3 3 4 4 3 3 4 4 3 3 4 4 3 3 4 4 3
S 1 34567  : 3 5 5 3 3 5 5 3 3 5 5 3 3 5 5 3 3 5 5 3 3 5 5 3 3 5 5 3 3 5 5 3
S 1 345678 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S 1 3456 8 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S 1 3456   : 3 5 5 3 3 5 5 3 3 5 5 3 3 5 5 3 3 5 5 3 3 5 5 3 3 5 5 3 3 5 5 3
S 1 34 6   : 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
S 1 34 6 8 : 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
S 1 34 678 : 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
S 1 34 67  : 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
S 1 34  7  : 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
S 1 34  78 : 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
S 1 34   8 : 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
S 1 34     : 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
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 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 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 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 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 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 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 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 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 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 1 1 1 1 1 1 1 1
S 1  45678 : 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 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 1 1 1 1 1 1 1 1
S 1  45 78 : 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 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 1 1 1 1 1 1 1 1
S 1   5    : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S 1   5  8 : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S 1   5 78 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . . . . . . . . .
S 1   5 7  : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S 1   567  : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S 1   5678 : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 . . . . . . . . . . . . . . . .
S 1   56 8 : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
S 1   56   : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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        : 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1
S01      8 : 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1
S01     78 : 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1
S01     7  : 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1
S01    67  : 2 2 2 2 2 2 2 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
S01    678 : 2 2 2 2 2 2 2 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
S01    6 8 : 2 2 2 2 2 2 2 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
S01    6   : 2 2 2 2 2 2 2 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
S01   56   : 2 2 2 2 2 2 2 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
S01   56 8 : 2 2 2 2 2 2 2 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
S01   5678 : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01   567  : 2 2 2 2 2 2 2 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
S01   5 7  : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01   5 78 : 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
S01   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
S01   5    : 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01  45    : 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S01  45  8 : 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
S01  45 78 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01  45 7  : 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S01  4567  : 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
S01  45678 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01  456 8 : 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
S01  456   : 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
S01  4 6   : 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01  4 6 8 : 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01  4 678 : 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01  4 67  : 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01  4  7  : 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01  4  78 : 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01  4   8 : 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01  4     : 3 2 2 3 3 2 2 3 3 2 2 3 3 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01 34     : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S01 34   8 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S01 34  78 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S01 34  7  : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S01 34 67  : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S01 34 678 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S01 34 6 8 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S01 34 6   : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S01 3456   : 4 6 6 4 4 6 6 4 4 6 6 4 4 6 6 4 4 6 6 4 4 6 6 4 4 6 6 4 4 6 6 4
S01 3456 8 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S01 345678 : 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S01 34567  : 4 6 6 4 4 6 6 4 4 6 6 4 4 6 6 4 4 6 6 4 4 6 6 4 4 6 6 4 4 6 6 4
S01 345 7  : 4 5 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 5 4
S01 345 78 : 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S01 345  8 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S01 345    : 4 5 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 5 4
S01 3 5    : 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
S01 3 5  8 : 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
S01 3 5 78 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01 3 5 7  : 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
S01 3 567  : 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
S01 3 5678 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
S01 3 56 8 : 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
S01 3 56   : 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
S01 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
S01 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
S01 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
S01 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
S01 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
S01 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
S01 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
S01 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
S0123      : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S0123    8 : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S0123   78 : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S0123   7  : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S0123  67  : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S0123  678 : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S0123  6 8 : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S0123  6   : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2
S0123 56   : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0123 56 8 : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0123 5678 : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0123 567  : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0123 5 7  : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0123 5 78 : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0123 5  8 : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0123 5    : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S012345    : 7 8 8 7 7 8 8 7 5 6 6 5 5 6 6 5 4 5 5 4 4 5 5 4 6 7 7 6 6 7 7 6
S012345  8 : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S012345 78 : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S012345 7  : 7 8 8 7 7 8 8 7 5 6 6 5 5 6 6 5 4 5 5 4 4 5 5 4 6 7 7 6 6 7 7 6
S01234567  : 7 9 9 7 7 9 9 7 5 7 7 5 5 7 7 5 4 6 6 4 4 6 6 4 6 8 8 6 6 8 8 6
S012345678 : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S0123456 8 : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S0123456   : 7 9 9 7 7 9 9 7 5 7 7 5 5 7 7 5 4 6 6 4 4 6 6 4 6 8 8 6 6 8 8 6
S01234 6   : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S01234 6 8 : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S01234 678 : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S01234 67  : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S01234  7  : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S01234  78 : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S01234   8 : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S01234     : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S012 4     : 5 4 4 5 5 4 4 5 4 3 3 4 4 3 3 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S012 4   8 : 5 4 4 5 5 4 4 5 4 3 3 4 4 3 3 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S012 4  78 : 5 4 4 5 5 4 4 5 4 3 3 4 4 3 3 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S012 4  7  : 5 4 4 5 5 4 4 5 4 3 3 4 4 3 3 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S012 4 67  : 5 4 4 5 5 4 4 5 4 3 3 4 4 3 3 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S012 4 678 : 5 4 4 5 5 4 4 5 4 3 3 4 4 3 3 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S012 4 6 8 : 5 4 4 5 5 4 4 5 4 3 3 4 4 3 3 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S012 4 6   : 5 4 4 5 5 4 4 5 4 3 3 4 4 3 3 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S012 456   : 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S012 456 8 : 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S012 45678 : 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S012 4567  : 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S012 45 7  : 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S012 45 78 : 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S012 45  8 : 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S012 45    : 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S012  5    : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S012  5  8 : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S012  5 78 : 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S012  5 7  : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S012  567  : 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S012  5678 : 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S012  56 8 : 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S012  56   : 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S012   6   : 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S012   6 8 : 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S012   678 : 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S012   67  : 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S012    7  : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S012    78 : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S012     8 : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S012       : 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2
S0 2       : 7 6 6 7 7 6 6 7 6 5 5 6 6 5 5 6 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2     8 : 7 6 6 7 7 6 6 7 6 5 5 6 6 5 5 6 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2    78 : 7 6 6 7 7 6 6 7 6 5 5 6 6 5 5 6 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2    7  : 7 6 6 7 7 6 6 7 6 5 5 6 6 5 5 6 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2   67  : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2   678 : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2   6 8 : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2   6   : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2  56   : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2  56 8 : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2  5678 : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2  567  : 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2  5 7  : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6
S0 2  5 78 : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2  5  8 : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2  5    : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6
S0 2 45    : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2 45  8 : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S0 2 45 78 : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S0 2 45 7  : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5
S0 2 4567  : 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S0 2 45678 : 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S0 2 456 8 : 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S0 2 456   : 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4
S0 2 4 6   : 6 5 5 6 6 5 5 6 5 4 4 5 5 4 4 5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S0 2 4 6 8 : 6 5 5 6 6 5 5 6 5 4 4 5 5 4 4 5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S0 2 4 678 : 6 5 5 6 6 5 5 6 5 4 4 5 5 4 4 5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S0 2 4 67  : 6 5 5 6 6 5 5 6 5 4 4 5 5 4 4 5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S0 2 4  7  : 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S0 2 4  78 : 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S0 2 4   8 : 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S0 2 4     : 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3
S0 234     : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 234   8 : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 234  78 : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 234  7  : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 234 67  : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 234 678 : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 234 6 8 : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 234 6   : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 23456   : 8 9 9 8 8 9 9 8 6 7 7 6 6 7 7 6 4 5 5 4 4 5 5 4 6 7 7 6 6 7 7 6
S0 23456 8 : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S0 2345678 : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S0 234567  : 8 9 9 8 8 9 9 8 6 7 7 6 6 7 7 6 4 5 5 4 4 5 5 4 6 7 7 6 6 7 7 6
S0 2345 7  : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S0 2345 78 : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S0 2345  8 : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S0 2345    : 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6
S0 23 5    : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 23 5  8 : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 23 5 78 : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 23 5 7  : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 23 567  : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 23 5678 : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 23 56 8 : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 23 56   : 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4
S0 23  6   : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0 23  6 8 : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0 23  678 : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0 23  67  : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0 23   7  : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0 23   78 : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0 23    8 : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0 23      : 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3
S0  3      : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0  3    8 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0  3   78 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0  3   7  : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0  3  67  : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0  3  678 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0  3  6 8 : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0  3  6   : 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0  3 56   : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S0  3 56 8 : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S0  3 5678 : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S0  3 567  : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S0  3 5 7  : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S0  3 5 78 : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S0  3 5  8 : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S0  3 5    : 5 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5
S0  345    : 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
S0  345  8 : 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
S0  345 78 : 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
S0  345 7  : 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
S0  34567  : 5 6 6 5 5 6 6 5 5 6 6 5 5 6 6 5 5 6 6 5 5 6 6 5 5 6 6 5 5 6 6 5
S0  345678 : 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
S0  3456 8 : 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
S0  3456   : 5 6 6 5 5 6 6 5 5 6 6 5 5 6 6 5 5 6 6 5 5 6 6 5 5 6 6 5 5 6 6 5
S0  34 6   : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S0  34 6 8 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S0  34 678 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S0  34 67  : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S0  34  7  : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S0  34  78 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S0  34   8 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S0  34     : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S0   4     : 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   4   8 : 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   4  78 : 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   4  7  : 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   4 67  : 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   4 678 : 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   4 6 8 : 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   4 6   : 5 4 4 5 5 4 4 5 5 4 4 5 5 4 4 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   456   : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   456 8 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   45678 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   4567  : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   45 7  : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S0   45 78 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   45  8 : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
S0   45    : 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
S0    5    : 6 5 5 6 7 6 6 7 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 8 7 7 8 7 6 6 7
S0    5  8 : 6 5 5 6 7 6 6 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 6 6 7 6 5 5 6
S0    5 78 : 6 5 5 6 7 6 6 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 6 6 7 6 5 5 6
S0    5 7  : 6 5 5 6 7 6 6 7 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 8 7 7 8 7 6 6 7
S0    567  : 7 6 6 7 8 7 7 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 6 6 7 6 5 5 6
S0    5678 : 7 6 6 7 8 7 7 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 6 6 7 6 5 5 6
S0    56 8 : 7 6 6 7 8 7 7 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 6 6 7 6 5 5 6
S0    56   : 7 6 6 7 8 7 7 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 6 6 7 6 5 5 6
S0     6   : 7 7 7 7 7 7 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 5 5 5 5
S0     6 8 : 7 7 7 7 7 7 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 5 5 5 5
S0     678 : 7 7 7 7 7 7 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 5 5 5 5
S0     67  : 7 7 7 7 7 7 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 5 5 5 5
S0      7  : 9 8 6 6 6 6 8 9 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 7 7 6 6 5 5 5 5
S0      78 : 9 8 6 6 6 6 8 9 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 7 7 6 6 5 5 5 5
S0       8 : 9 8 6 6 6 6 8 9 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 7 7 6 6 5 5 5 5
S0         : 9 8 6 6 6 6 8 9 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 7 7 6 6 5 5 5 5
Every B3 rule contains still lifes or oscillators, but there are some B2 rules without any known still lifes or oscillators.
Still life (B/S12:B24678/S012345678):

Code: Select all

x = 21, y = 31, rule = B246/S12
10bo$8bobobo$6bobobobobo$4bobobo3bobobo$2bobobo7bobobo$b2obo11bob2o$4b
ob2o2bo2b2obo$4o4b2ob2o4b4o$5bo9bo$b2o2bob7obo2b2o$2bobo11bobo$6bo7bo$
b2o3bobo3bobo3b2o$2bobo4b3o4bobo$5bobo5bobo$b2o2bo2bo3bo2bo2b2o$5bobo
5bobo$2bobo4b3o4bobo$b2o3bobo3bobo3b2o$6bo7bo$2bobo11bobo$b2o2bob7obo
2b2o$5bo9bo$4o4b2ob2o4b4o$4bob2o2bo2b2obo$b2obo11bob2o$2bobobo7bobobo$
4bobobo3bobobo$6bobobobobo$8bobobo$10bo!
Still lifes are most likely impossible in B2456/S12. P4 partials:

Code: Select all

x = 67, y = 28, rule = B2456/S12
11bo$6b7obo31b5o3bo$5b6obo32b4ob2o3b2o$4b3obo35b4o3b7o$4b2o4bo2bo31bo
5bo2bo3b3o$4b2obo4bo33b3ob2o2bo3bob2o$4bo3bobob2o29b3o2b2obob4o2b3o$2b
3o2b2ob3o2bo2bo24b3o2bob2ob5obobo$2b2obobobobo3bo26b6ob2o3b2obo2b2o$b
2o2b2o2bo2bo6b2o20b2o4b2o2b2ob3o3bobo3bo$2bobo2b2ob3o4b5o19bo3b2obo2bo
bo2b2o2b6o$4o2bo2bo2bobo2b4o20b7ob2obo2b2o2b2ob4o$b2o3b2obo2bobobo2bo
3bo17b3o5bobob2ob2o2bo2bo$4bo3b4obob3obo21bobo2b2o2bob2o2bo4b2o$o5bo5b
2o3b3o4bo16b6ob2o2bo2b2obob3o$2b2o2bob2obo2b2o3b2obo2bo14bo2b4o2b3o2b
2ob2obobo$4b2o2bo2b2obob3o2b3o19b2o4bo2b3o2bobo$5bo3bob2o2bo2bo2bo22b
2o3b4o2b2o2b2o$7bobob3obo2bo2bo24b2o3bo3bo3bo$7b6ob4o2bo25b3obo2bo2b3o
$6bo3bobob2obo2bo29bo2b3obo$13b4o27bo6bo2b2obo$10b2obo36bobob2o$11bob
3o35b4obo$14bo36b6o$50bob2o$11bob2o36b2o$51bo!
Related to my script: here's an example for B3/S35:

Code: Select all

#C The Block (oscillator 27), still life
#C Discovered by John Conway, 1970
#C
#C B012345678 S012345678
#C  ---           X
#C
x = 2, y = 2, rule = B3/S35
2o$2o!

#C The Ant (oscillator)/Bleeper (oscillator 43), period 2 (mod 1)
#C Discovered by Mark Niemiec and Harry J. Riley, 1972
#C
#C B012345678 S012345678
#C  ---X         -X
#C
x = 3, y = 2, rule = B3/S35
b2o$2o!

#C The Fish (oscillator 57), period 2 (mod 1)
#C Discovered by Harry J. Riley, 1972
#C
#C B012345678 S012345678
#C  ---X        --X
#C
x = 3, y = 3, rule = B3/S35
2bo$2o$bo!

#C Oscillator 117, period 4 (mod 2)
#C
#C B012345678 S012345678
#C  ---X---      -X
#C
x = 6, y = 5, rule = B3/S35
2bo$2ob3o$o4bo$b2obo$bob2o!

#C Oscillator 143, period 4 (mod 2)
#C Discovered by Lewis Patterson, 2014
#C
#C B012345678 S012345678
#C  ---X- -     --X-
#C
x = 8, y = 6, rule = B3/S35
2b4o$obo2bobo$o2b2o2bo$o2b2o2bo$obo2bobo$2b4o!

#C The Phoenix (oscillator 159), period 2 (mod 1)
#C Discovered by MIT group, 1971
#C
#C B012345678 S012345678
#C  ---X       --
#C
x = 8, y = 8, rule = B3/S35
4bo$2bobo$6bo$2o$6b2o$bo$3bobo$3bo!

#C Oscillator 169, period 2
#C
#C B012345678 S012345678
#C  ---X-      ---
#C
x = 6, y = 6, rule = B3/S35
2bobo$obo$4b2o$2o$3bobo$bobo!

#C The Clock (oscillator 323), period 2 (mod 1)
#C Discovered by Simon Norton, 1970
#C
#C B012345678 S012345678
#C  ---X-       - X
#C
x = 4, y = 4, rule = B3/S35
bo$2b2o$2o$2bo!

#C Oscillator 415, period 4
#C
#C B012345678 S012345678
#C  ---X- -      -X
#C
x = 8, y = 5, rule = B3/S35
3bo2bo$3ob3o$o6bo$b2ob4o$bo2bo!

#C Oscillator 667, period 6 (mod 3)
#C
#C B012345678 S012345678
#C  ---X- -     --X-X-
#C
x = 4, y = 9, rule = B3/S35
bo$b2o$2bo$bobo2$obo$bo$b2o$2bo!

#C Oscillator 670, period 3
#C Discovered by LaundryPizza03, 2020
#C
#C B012345678 S012345678
#C  ---X--- -   --X-X
#C
x = 8, y = 9, rule = B3/S35
4bo$b2obo$o2bobo$5b2o$2o4b2o$b2o$2bobo2bo$3bob2o$3bo!
Speaking of B3/S35, here's an interesting family of "adjustable" even-period oscillators:

Code: Select all

x = 77, y = 26, rule = B3/S35
71b2ob2o$71b2ob2o2$61b2ob2o5b2ob2o$61b2ob2o5b2ob2o2$51b2ob2o5b2ob2o5b
2ob2o$51b2ob2o5b2ob2o5b2ob2o2$41b2ob2o5b2ob2o5b2ob2o5b2ob2o$41b2ob2o5b
2ob2o5b2ob2o5b2ob2o2$31b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o$31b2ob2o5b2o
b2o5b2ob2o5b2ob2o5b2ob2o2$21b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o$
21b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o2$11b2ob2o5b2ob2o5b2ob2o5b
2ob2o5b2ob2o5b2ob2o5b2ob2o$11b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o
5b2ob2o2$b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o$b2ob
2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o2$b2ob2o5b2ob2o5b2o
b2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o$2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o
3b2o3b2o3b2o3b2o3b2o3b2o3b2o3b2o!
Unrelated p6:

Code: Select all

x = 7, y = 20, rule = B3/S35
bo3bo$b2ob2o$o5bo$bo3bo$b2ob2o$2bobo$3ob3o$b2ob2o$o5bo$bo3bo$2o3b2o$2b
obo$bo3bo$b2ob2o$2bobo$2bobo$o5bo$2bobo$2o3b2o$bo3bo!
The latest version of hex-gliders.db have 668 gliders from OT hexagonal rules. Let's find more!
My CA (13 rules)
My scripts: new-glider.py v0.2 (new version), nbsearch2a.py, collector.py v0.3

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Re: Oscillators in Life-like cellular automata

Post by LaundryPizza03 » April 23rd, 2022, 7:34 am

May13 wrote:
April 23rd, 2022, 6:43 am
Every B3 rule contains still lifes or oscillators, but there are some B2 rules without any known still lifes or oscillators.
Still life (B/S12:B24678/S012345678):

Code: Select all

x = 21, y = 31, rule = B246/S12
10bo$8bobobo$6bobobobobo$4bobobo3bobobo$2bobobo7bobobo$b2obo11bob2o$4b
ob2o2bo2b2obo$4o4b2ob2o4b4o$5bo9bo$b2o2bob7obo2b2o$2bobo11bobo$6bo7bo$
b2o3bobo3bobo3b2o$2bobo4b3o4bobo$5bobo5bobo$b2o2bo2bo3bo2bo2b2o$5bobo
5bobo$2bobo4b3o4bobo$b2o3bobo3bobo3b2o$6bo7bo$2bobo11bobo$b2o2bob7obo
2b2o$5bo9bo$4o4b2ob2o4b4o$4bob2o2bo2b2obo$b2obo11bob2o$2bobobo7bobobo$
4bobobo3bobobo$6bobobobobo$8bobobo$10bo!
P4 partials:
This is the third-largest of 34 still lives catalogged in Fig. 4. of Eppstein (2009). It was discovered in 2001 by Dean Hickerson.

Code: Select all

Still lifes are most likely impossible in B2456/S12.
Eppstein (2009) identified 25 rulespaces where still lives cannot exist, but this rule is not from one of them.

I'm currently searching all the rules without B0 or B1 for still lifes within a 10x10 bounding box, which may be smaller than the ones in Eppstein (2009).

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Oscillators in Life-like cellular automata

Post by LaundryPizza03 » May 5th, 2022, 8:44 pm

2 oscillators in B35/S23 that were not in the database, both likely found by Moth Wingthane in 2016. The left is p142 and the right is p18.

Code: Select all

x = 80, y = 39, rule = B35/S23
7b2o21b2o33b5o$7bobo19bobo32bob3obo$8b2o19b2o35bobo$16b2o3b2o42bo3bo$
15bobo3bobo41bo3bo$15b3o3b3o$16bo5bo39b2o7b2o$2o35b2o22b2obo5bob2o$obo
33bobo22bobo7bobo$b2o33b2o18bo5bo9bo5bo$55bo2b2o15b2o2bo$55b3o19b3o$
55b2o21b2o$55b3o19b3o$55bo2b2o15b2o2bo$4b2o27b2o21bo5bo9bo5bo$3bob2o
25b2obo25bobo7bobo$3b3o27b3o25b2obo5bob2o$62b2o7b2o2$65bo3bo$3b3o27b3o
29bo3bo$3bob2o25b2obo30bobo$4b2o27b2o29bob3obo$65b5o5$b2o33b2o$obo33bo
bo$2o35b2o$16bo5bo$15b3o3b3o$15bobo3bobo$16b2o3b2o$8b2o19b2o$7bobo19bo
bo$7b2o21b2o!
p44 oscillator:

Code: Select all

x = 9, y = 3, rule = B0134/S0235
o2b3ob2o$ob2o$o2b3ob2o!
This is the only p6 oscillator in B0 that fits in a 3x3 box, up to duality. This rule has never been apgsearched, and no spaceships are known, although the rule B0124578/S234 has a c/6o.

Code: Select all

x = 3, y = 3, rule = B0124578/S23
o$2bo$o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Oscillators in Life-like cellular automata

Post by Period1GliderGun » May 5th, 2022, 8:48 pm

mnomerized p142:

Code: Select all

x = 25, y = 14, rule = B35/S23
2o21b2o$obo19bobo$b2o19b2o5$9bo5bo$8b3o3b3o$8bobo3bobo$9b2o3b2o$b2o19b
2o$obo19bobo$2o21b2o!
It's OK to abbreviate my username to "P1GG," but never, never, call me "pig."

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]

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Re: Oscillators in Life-like cellular automata

Post by LaundryPizza03 » May 19th, 2022, 1:36 am

Several new p3 oscillators:

Code: Select all

x = 7, y = 7, rule = B34678/S3678
2b2o$2b2o$2bob3o$2o3b2o$3obo$3b2o$3b2o!

Code: Select all

x = 12, y = 3, rule = B345/S2
4o4b4o$3bob2obo$4b4o!

Code: Select all

x = 24, y = 15, rule = B2/S3
9bo4bo$8b3o2b3o$o2b5o3b2o3b5o2bo$3b2o2bo2bo2bo2bo2b2o$6bo2b2o2b2o2bo$b
obo2b2o2bo2bo2b2o2bobo$bo2bo2bo2bo2bo2bo2bo2bo$b2ob2o2b2ob2ob2o2b2ob2o
$bo2bo2bo2bo2bo2bo2bo2bo$bobo2b2o2bo2bo2b2o2bobo$6bo2b2o2b2o2bo$3b2o2b
o2bo2bo2bo2b2o$o2b5o3b2o3b5o2bo$8b3o2b3o$9bo4bo!

Code: Select all

x = 39, y = 32, rule = B2/S36
15bo7bo$7bobo3bo11bo3bobo$5bo5bobobo7bobobo5bo$3bobobo2bo17bo2bobobo$b
2o8bo3bo2b3o2bo3bo8b2o$ob2o6bo17bo6b2obo$2o5bo2bo3bo2bobobo2bo3bo2bo5b
2o$bo4bo2bo7b2ob2o7bo2bo4bo$2o5bo2bo3bo2bobobo2bo3bo2bo5b2o$ob2o6bo17b
o6b2obo$b2o8bo3bo2b3o2bo3bo8b2o$3bobobo2bo17bo2bobobo$5bo5bobobo7bobob
o5bo$7bobo3bo11bo3bobo$15bo7bo3$4bo6bo$bo3bo4bo3bo$b2o10b2o$bo4bo2bo4b
o$o4bo4bo4bo$bo4bo2bo4bo$bo12bo$2ob3o4b3ob2o$bo12bo$bo4bo2bo4bo$o4bo4b
o4bo$bo4bo2bo4bo$b2o10b2o$bo3bo4bo3bo$4bo6bo!

Code: Select all

x = 26, y = 30, rule = B25/S3
4bo16bo$2bo5bo8bo5bo$bo6bo8bo6bo$bo2b2o4bo4bo4b2o2bo$o6bobo6bobo6bo$2b
o20bo$2bob2obob2o4b2obob2obo$9bo6bo$2bo4b2ob2o2b2ob2o4bo$2bo4b2ob2o2b
2ob2o4bo$9bo6bo$2bob2obob2o4b2obob2obo$2bo20bo$o6bobo6bobo6bo$bo2b2o4b
o4bo4b2o2bo$bo6bo8bo6bo$2bo5bo8bo5bo$4bo16bo4$b12o$5bo2bo$ob2ob4ob2obo
$b3o6b3o$bo2b2o2b2o2bo$b3o6b3o$ob2ob4ob2obo$5bo2bo$b12o!
Rlifesrc tends to get stuck in still lifes, finding oscillators will be easiest in rules with no still lifes.

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Oscillators in Life-like cellular automata

Post by LaundryPizza03 » November 14th, 2022, 10:20 pm

A p25 in Life (listed as Noam Elkies, 2002) from the database seems to be broken. I'd replace it with the capped period-25 glider gun:

Code: Select all

#C Mitchell Riley, 2022
x = 30, y = 21, rule = B3/S23
13b2o4b2o$13bobo2bobo$15bo2bo$14b2o2b2o$13b3o2b3o$15bo2bo$8b2o$6bo2bo$6b2obob
o$8bob2o6bo$8bo10bo$6bobo9bobo$5bobob2o8b3o$5bobo3bo7bobo$3b2o2bob2o9bo$2bo4b
3o16b2o$3b4o19bo$3o3bo3bo16b3o$o2bob2o2bobo17bo$3bobo2bobo$4bo4bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Oscillators in Life-like cellular automata

Post by confocaloid » November 26th, 2022, 3:16 pm

LaundryPizza03 wrote:
May 11th, 2020, 8:55 am
...

Code: Select all

White Whale:Andrew Trevorrow, before 2016:B345/S:B34578/S45678:160000046:0:0:29:19:9bobobobobobo$7bobobobobobobobo$8bobobobobobobo$6bo15bo$6bo15bo$4bo19bo$4bo19bo$2bo23bo$2bo23bo$o27bo$o27bo$2bo25bo$2bo25bo$4bo21bo$4bo21bo$6bo17bo$6bobobobobobobobobobo$7bobobobobobobobobo$7bobobobobobobobobo!
...
Crossposting from OCA talk:LongLife: the high-period oscillator in LongLife is period-160000346, and the given 75-cell pattern is not a phase of the oscillator but only a predecessor. The population equals 92 at T = 114375463, 274375809, ...

Code: Select all

#C T = 0 (top left), T = 114375463 (top right), T = 12822175 (bottom left),
#C T = 160000346 + 12822175 (bottom right).
#C The two patterns in the bottom row converge after one tick.
x = 49, y = 69, rule = B345/S5
8b2o27b4o2$6b2o2b2o23b3o3b2o2$4b2o6b2o19b2obo6b2o$31bo$2b2o10b2o16bo3b
2o7b2o$2o15bo12b2o15b2o$2bo13bo15bo4bo8bo$2o15b2o11b2o15b2o$2bo13bo15b
5o7b3o$2o15b2o11b2o15b2o$2bo13bo15bo10bo2bo$2o15b2o11b2o15b2o$2bo13bo
15bo11b3o$2o15b2o11b2o15b2o$2bo13bo15bo13bo$2o15b2o11b2o15b2o$2bo13bo
15bo13bo$2o15b2o11b2o15b2o$2bo13bo15bo12b2o$2o15bo12b2o$2bo11b2o16b2o
9b2o$2o29bo$2b2o8b2o19b2o6b2o2$4b2o4b2o23b6o2$6b4o27b2o12$7b4o26b4o2$
5b2o4b2o22b2o4b2o2$3b2o8b2o18b2o8b2o$bo29bo$2b15o15b15o$2o15b2o11b2o15b
2o$2b15o15b15o$2o15b2o11b2o15b2o$2b12ob2o15b12ob2o$2o15b2o11b2o15b2o$
2bobo3b5o3bo15b2o4b5o3bo$2o15b2o11b2o15b2o$2bobo2b7o2bo15bobo2b7o2bo$
2o15b2o11b2o15b2o$2bobo2b10o15bobo2b10o$2o15b2o11b2o15b2o$2b2o4b6o2bo
15b2o4b6o2bo$2o15b2o11b2o15b2o$2b4o7bob2o15b4o7bob2o$2o28b2o$2bo3b9o17b
o3b9o$bo29bo$3b2o6b2o20b2o6b2o2$5b2o2b2o24b2o2b2o2$7b2o28b2o!
Edit:
LaundryPizza03 wrote:
November 26th, 2022, 3:31 pm
Fixed:

Code: Select all

...
If you know a more precise discovery date, please reply back.
The period should be 160000346, instead of 160000046. Unfortunately I do not know details about when it was discovered.
Last edited by confocaloid on November 26th, 2022, 3:49 pm, edited 2 times in total.
127:1 B3/S234c User:Confocal/R (isotropic rules, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

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Re: Oscillators in Life-like cellular automata

Post by LaundryPizza03 » November 26th, 2022, 3:31 pm

confocaloid wrote:
November 26th, 2022, 3:16 pm
LaundryPizza03 wrote:
May 11th, 2020, 8:55 am
...

Code: Select all

White Whale:Andrew Trevorrow, before 2016:B345/S:B34578/S45678:160000046:0:0:29:19:9bobobobobobo$7bobobobobobobobo$8bobobobobobobo$6bo15bo$6bo15bo$4bo19bo$4bo19bo$2bo23bo$2bo23bo$o27bo$o27bo$2bo25bo$2bo25bo$4bo21bo$4bo21bo$6bo17bo$6bobobobobobobobobobo$7bobobobobobobobobo$7bobobobobobobobobo!
...
Crossposting from OCA talk:LongLife: the high-period oscillator in LongLife is period-160000346, and the given 75-cell pattern is not a phase of the oscillator but only a predecessor. The population equals 92 at T = 114375463, 274375809, ...

Code: Select all

#C T = 0 (top left), T = 114375463 (top right), T = 12822175 (bottom left),
#C T = 160000346 + 12822175 (bottom right).
#C The two patterns in the bottom row converge after one tick.
x = 49, y = 69, rule = B345/S5
8b2o27b4o2$6b2o2b2o23b3o3b2o2$4b2o6b2o19b2obo6b2o$31bo$2b2o10b2o16bo3b
2o7b2o$2o15bo12b2o15b2o$2bo13bo15bo4bo8bo$2o15b2o11b2o15b2o$2bo13bo15b
5o7b3o$2o15b2o11b2o15b2o$2bo13bo15bo10bo2bo$2o15b2o11b2o15b2o$2bo13bo
15bo11b3o$2o15b2o11b2o15b2o$2bo13bo15bo13bo$2o15b2o11b2o15b2o$2bo13bo
15bo13bo$2o15b2o11b2o15b2o$2bo13bo15bo12b2o$2o15bo12b2o$2bo11b2o16b2o
9b2o$2o29bo$2b2o8b2o19b2o6b2o2$4b2o4b2o23b6o2$6b4o27b2o12$7b4o26b4o2$
5b2o4b2o22b2o4b2o2$3b2o8b2o18b2o8b2o$bo29bo$2b15o15b15o$2o15b2o11b2o15b
2o$2b15o15b15o$2o15b2o11b2o15b2o$2b12ob2o15b12ob2o$2o15b2o11b2o15b2o$
2bobo3b5o3bo15b2o4b5o3bo$2o15b2o11b2o15b2o$2bobo2b7o2bo15bobo2b7o2bo$
2o15b2o11b2o15b2o$2bobo2b10o15bobo2b10o$2o15b2o11b2o15b2o$2b2o4b6o2bo
15b2o4b6o2bo$2o15b2o11b2o15b2o$2b4o7bob2o15b4o7bob2o$2o28b2o$2bo3b9o17b
o3b9o$bo29bo$3b2o6b2o20b2o6b2o2$5b2o2b2o24b2o2b2o2$7b2o28b2o!
Fixed:

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White Whale:Andrew Trevorrow, before 2016:B345/S:B34578/S45678:160000046:0:0:29:19:7bobobobobobobo$7bobobobobobobo$6bobobobobobobobo$6bo3bo3bo5bo$4bo5bo3bo7bo$4bo7bo9bo$2bo21bo$2bo21bo$o25bo$o25bo$o25bobo$obo3bobo17bobo$2bobobo3bo15bo$2bo7bo15bo$4bo5bo13bo$4bo5bo11bobo$6bobobobobobobobobo$5bobobobobobobobobobo$7bobobobobobobobo!
If you know a more precise discovery date, please reply back.

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

carsoncheng
Posts: 470
Joined: June 11th, 2022, 11:24 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by carsoncheng » August 24th, 2023, 8:33 am

P69 in b368s238:

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x = 24, y = 24, rule = B368/S238
4bo14bo$2b3o14b3o$bo20bo$bobo16bobo$2o20b2o6$11b2o$10bo2bo$10bo2bo$11b
2o6$2o20b2o$bobo16bobo$bo20bo$2b3o14b3o$4bo14bo!
EDIT on 2023-08-26: p12 in b367s237:

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x = 14, y = 10, rule = B367/S237
5b4o$2o4b2o4b2o$2o3b4o3b2o5$2o3b4o3b2o$2o4b2o4b2o$5b4o!
P5 in b367s237:

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x = 7, y = 8, rule = B367/S237
b5o$o2bo2bo$2o3b2o$3bo$3bo$2o3b2o$o2bo2bo$b5o!

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confocaloid
Posts: 2723
Joined: February 8th, 2022, 3:15 pm

Re: Oscillators in Life-like cellular automata

Post by confocaloid » January 10th, 2024, 4:43 am

Several known high-period seminatural oscillators in Life-like cellular automata:

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#C xp661_yl86436x63468zzzzz8qm1yzyc1mq8zgo8yzye8ogz0234yzyc432zzzzylgy7gzym3163x3613/b356s23
x = 63, y = 63, rule = B356/S23
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo22$3bo55bo$b2o57b2o$2bo57bo$2o59b
2o$b2o57b2o4$b2o57b2o$2o59b2o$2bo57bo$b2o57b2o$3bo55bo22$25bo11bo$26b2obo3bob
2o$26bob2o3b2obo$28bo5bo!

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#C xp412_60hlvy27/b358s23
x = 12, y = 5, rule = B358/S23
2b3o6bo$o3bo6bo$o2b2o6bo$4bo$2b3o!

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#C xp168_yfgj3zyf11zygo48ozy9o8oy1111y8ggz33w66y21221y6e9d2y211w33zyeeaiczzyh66zyg33/b38s238
x = 42, y = 42, rule = B38/S238
20b2o$20b2o3$19b2o$19b2o7$21bo$20bob2o$20bo2bo$21b3o3$13b3o$13bobo20b
2o$2o10bo2bo11b2o7b2o2b2o$2o2b2o7b2o11bo2bo10b2o$4b2o20bobo$26b3o3$18b
3o$18bo2bo$18b2obo$20bo7$21b2o$21b2o3$20b2o$20b2o!

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#C xp155_y433w33z463yc364zz136yc631zy466w66/b358s23
x = 22, y = 23, rule = B358/S23
8b2o2b2o$8b2o2b2o4$2bo16bo$b2o16b2o$2o18b2o8$2o18b2o$b2o16b2o$2bo16bo
4$8b2o2b2o$8b2o2b2o!

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#C xp142_y3356y1g8oxo8gy1653zckoy8131x131y8okczzx6572yl2756zx6ae4yl4ea6z0ggytggz321y8ocoxocoy8123zy3ca6y211x11y26ac/b35s23
x = 39, y = 39, rule = B35/S23
7b2o21b2o$7bobo19bobo$8b2o19b2o$16b2o3b2o$15bobo3bobo$15b3o3b3o$16bo5b
o$2o35b2o$obo33bobo$b2o33b2o6$4b2o27b2o$3bob2o25b2obo$3b3o27b3o4$3b3o
27b3o$3bob2o25b2obo$4b2o27b2o6$b2o33b2o$obo33bobo$2o35b2o$16bo5bo$15b
3o3b3o$15bobo3bobo$16b2o3b2o$8b2o19b2o$7bobo19bobo$7b2o21b2o!
This is a vague question, but what are other known high-period seminatural oscillators "of the same type" (in particular, excluding engineered/adjustable examples, and excluding large blobs like in Diamoeba or LongLife)?

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