TheWayOfTheCon's box of the sand

[TheWayOfTheCon]

Conway's Game of Life

[I6_I6]

E

[yyh_baboon]

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[TheWayOfTheCon]

Failed c/6o gun based off synthesis:

Code: Select all

x = 328, y = 197, rule = R2,C2,S4,6-9,20,B7-9,18
16b7o$14b3o6bo37b4obo$23bo36bo5bo$13bo4b3o2b2o34b2o5bobo$13bo5bo3b3o34b
o2b2obo$13bo5b2o2bobo35b6o$13bo5b2o4bo$19b2o4bo$14bo10bo$15bo3b4ob2o$
16bob2ob4o$17b5obo$20b2o187b4o$208b6o2b3o$208bo2bob8o$208bo5b2o$206b6o
8b2o$207b2o2bob4o2b2o$197bo8b14o$195b4o7bo2b2o4b4o$194b2o2b2o6b3o7b3o
$32b2o129b2obo26bo5b2o6b2o$30bob5o126bo2b2o30b3o16b4o$29b4ob2obo124b2o
3bo30b4o15b3o$28b2ob4o3bo123b2o3bo24bo6b3o15b3o$28bo10bo123bo2b2o23bo
7b2o$28bo4b2o127b2ob3o22b2o2bo4b2o$28bo4b2o5bo121b2ob2o23bo8bo$2b4obo
20bobo2b2o5bo122bobo24bo7bo$bo5bo20b3o3bo5bo121bobo26bo4bo$2o5bobo19b
2o2b3o4bo152b2o$bo2b2obo22bo$2b6o22bo6b3o$31b7o$202b3o2b3o$200b2o2bo$
200bo3bo$203bo$204bo6bo$182b3o15b3obo5bo$182b3o17b5o2bo$181b4o19bo$193b
2o$183b3o7b3o$183b4o4b2o2bo$182b14o$181b2o2b4obo2b2o$180b2o8b6o$186b2o
5bo28b2obo$181b8obo2bo28bo2b2o$183b3o2b6o27b2o3bo$189b4o28b2o3bo$222b
o2b2o$221b2ob3o$221b2ob2o$222bobo$221bobo11$288b3o$287bo2b2o$287bo2b2o
$287b4o$288b2o26$324b3o$323b2o2bo$323b2o2bo$324b4o$325b2o4$303b2o$302b
4o$302bo2b2o$302bo2b2o$303b3o$317b2o$316b4o$315b2o2bo$315b2o2bo$316b3o
6$37bo$35b2o2bo$33b4o$33b3o$32bo2b2o7bo$31b2o2bo10bo128b4o$32b3o3b3o4b
2o127b2o2b2o$34bo5bo4b3o125bo6bo$46bo133bo$43bo2bo125b2o6bo$44bobobo123b
4o2b2o$45b2obo122b5obo$44bobo124b5obo$45bo126b3ob2o$172bo5b2o$172bo5b
o$173bo4bo$174b4o15$61b4o$60bo89bob4o$60bo3bo87b5o$64bo84b5o2b3o$59bo
93bo2b3o$59bo4bo91bob2o$59bo4bo89bo2b2o$59b3ob2o93b4o$61b3o94b2o$157b
2ob3o$157bo2b3o$47b2o108bo2b2o$45b2obo108bo2b2o$44b2o3bo107bo2b2o$44b
3o109bo3b2o$46b3o108bobo$156b3o10bo$158bo10b3o$53b3o112bobo$55b3o108b
2o3bo$52bo3b2o108b2o2bo$53bob2o109b2o2bo$53b2o111b2o2bo$165b3o2bo$165b
3ob2o$38b3o127b2o$37b2ob3o123b4o$37bo4bo21bo104b2o2bo$37bo4bo19b2o2bo
101b2obo$42bo17b4o105b3o2bo$37bo22b3o106b3o2b5o$37bo3bo17bo2b2o7bo99b
5o$41bo16b2o2bo10bo74b4o20b4obo$37b4o18b3o3b3o4b2o73b2o2b2o$61bo5bo4b
3o71bo6bo$73bo79bo$70bo2bo71b2o6bo$71bobobo69b4o2b2o$72b2obo68b5obo$71b
obo70b5obo$72bo72b3ob2o$145bo5b2o$145bo5bo$146bo4bo$147b4o!

I could probably just reflect the spaceships since I have that technology (and it works with the same oscillator), but I won't do that rn.

[yyh_baboon]

Failed c/2 synth:

Code: Select all

 x = 21, y = 10, rule = R2,C2,S4,6-9,20,B7-9,18
17b3o$16b2o2bo$16b2o2bo$17b4o$18b2o$b3o$o2b2o$o3bo$2ob2o$b3o! [[ STOP 100 ]]

Successful:

Code: Select all

 x = 62, y = 74, rule = R2,C2,S4,6-9,20,B7-9,18
17b3o$16b2o2bo$16b2o2bo$17b4o$18b2o$b3o$o2b2o$o3bo$2ob2o$b3o48$47b2o$
46b4o$45b2o2bo$45b2o2bo$46b3o8$59b2o$58b4o$57b2o2bo$57b2o2bo$58b3o!

Code: Select all

 x = 50, y = 62, rule = R2,C2,S4,6-9,20,B7-9,18
17b3o$16b2o2bo$16b2o2bo$17b4o$18b2o$b3o$o2b2o$o3bo$2ob2o$b3o18$43bo$41b
2obo$41b2o2bo$41b2obo$43bo26$47b2o$46b4o$45b2o2bo$45b2o2bo$46b3o!

C/6 gun:

Code: Select all

 x = 114, y = 98, rule = R2,C2,S4,6-9,20,B7-9,18
90b3o$88b2o3bo$94bo$87bo7bo$87bo$87bo3b2o3bo$79b3o6bo2bo4bo$78b2o2bo6b
o5bo$77bo5bo5bo5bo$84bo$76bo6b2o6b4o$76bo4bob2o$76bo6b2o$77bo4b3o$78b
2o2bo$80bobo$80bo2$42b3o$41b4o3b4o$40b2ob2o3b5o13bo$40b2o2bob4o2b2o$39b
2o2bo4bo5bo19bo$39b4o5b2o4bo19b4o$39b4o7bo3bo19b2o3bo$54bo17b2o6bo$41b
o7bo14bo6b2o8bo$49bo3bo10b7o10bo$49bo3bo10b3o$49b4o12b2o11b3o$65b2o9b
2o$73b2o$66bo5bo$66bo4bo$66b2o2bo$68bo10$101b3o$100b4o3b4o$73bo25b2ob
2o3b5o$71bobo25b2o2bob4o2b2o$71bo2b2o22b2o2bo4bo5bo$69b3o4bo21b4o5b2o
4bo$69b2o6bo20b4o7bo3bo$69b2obo4bo35bo$59b4o6b2o6bo22bo7bo$69bo38bo3b
o$58bo5bo5bo5bo31bo3bo$58bo5bo6bo2b2o32b4o$57bo4bo2bo6b3o$57bo3b2o3bo
$66bo$58bo7bo$59bo$60bo3b2o$61b3o9$17bo$15b2obo$14b2o3bo$15b2obo$16b3o
$17bo4$28b2o$27bob2o$27bo2bo$27bob2o$28b2o4$4b2o$4b2obo$4b4o$5b4o$2ob
5o$o3b3obo$2ob4o$b5o$b3o!

c/2 gun!

Code: Select all

 x = 403, y = 229, rule = R2,C2,S4,6-9,20,B7-9,18
183b4o$181bob2ob3ob2o$180bo6bo3b2o$180bo5b2o5bo$150b3o27bo5b2o5bo$151b
o28bo5bob3o2bo$28b3o118bobobo27bo4bo3bo2bo$23bo3bo3bo150bob3o3b3o$21b
3o3bo3b2o150b4o2b3o$20bo3b3o5bo29bobo84bob2o32bo3b2o$20bo3bo7bo30b2o85b
2ob2o16b2o14b2o$20bo4b3o3b2o29b2o86b4o17b2o$20bo3b4o3bo29b3o86b3o17b4o
$21bo2b5obo29b3o3bo84b2o17b4o$22b7o31b3o$25b2o33bobobo$42b2obo14b5o$41b
2o3bo12bob3o103bo$47bo118b3o$41bo124b4o$40b3o5bo117b3o2$43bo5bo$49bo$
44bo3bo$44b2o2bo$45b3o5$209b3o$210bo$175b2o31bobobo$173b2o3bo$172b3o2b
4o$3bobo165b3o3b3obo26bob2o$4b2o164bo2bo3bo4bo26b2ob2o$3b2o165bo2b3ob
o5bo25b4o$2b3o165bo5b2o5bo25b3o$b3o3bo29b2o131bo5b2o5bo26b2o$b3o31b7o
129b2o3bo6bo$bobobo27bob5o2bo129b2ob3ob2obo$b5o26bo3b4o3bo133b4o$ob3o
26b2o3b3o4bo$31bo7bo3bo$31bo5b3o3bo$31b2o3bo3b3o$32bo3bo3bo$33b3o21$113b
3o$112b2o2bo$112b2o2bo$113b4o$114b2o$97b3o$96bo2b2o$96bo3bo$96b2ob2o$
97b3o12$399b2o$398b3o$398b4o$398b2ob2o$397bob2o2$139bo25b2o25b2o25bo25b
2o25b2o25bo25b2o25b2o25bo$137b2obo23b2obo22b2o2bo22b2obo23b2obo22b2o2b
o22b2obo23b2obo22b2o2bo22b2obo16bobobo$137b2o2bo22bo2bo22b2o2bo22b2o2b
o22bo2bo22b2o2bo22b2o2bo22bo2bo22b2o2bo22b2o2bo17bo$137b2obo23b2obo22b
2o2bo22b2obo23b2obo22b2o2bo22b2obo23b2obo22b2o2bo22b2obo17b3o$139bo25b
2o25b2o25bo25b2o25b2o25bo25b2o25b2o25bo26$143b2o150bob4o$142b4o151b5o
$141b2o2bo148b5o2b3o$141b2o2bo152bo2b3o49b2o$142b3o156bob2o47b4o$299b
o2b2o48bo2b2o$303b4o45bo2b2o$303b2o48b3o$302b2ob3o23b2obo$302bo2b3o22b
o4bo$302bo2b2o23bo4bo$302bo2b2o22b2o4bo$302bo2b2o23b7o$301bo3b2o21b4o
$302bobo$301b3o24b2o$303bo2$315b2o$314b3o$314bob2o$313bo3bo$313b4o$315b
o$322bo$321b4o$320bo3bo$320b2obo30bob4o$321b3o32b5o$321b2o30b5o2b3o$357b
o2b3o$360bob2o$308b2o48bo2b2o$362b4o$306b4o52b2o$301b7o53b2ob3o$302bo
4b2o52bo2b3o$206bo2bo92bo4bo53bo2b2o$203b3o5bo90bo4bo53bo2b2o$202b5o2b
3o91bob2o54bo2b2o$202b3obo4bo148bo3b2o$204b2o3bo151bobo$205bo154b3o$362b
o11$195b3o$195b4o$195b3o$196bo$175b4o23b2o$174bo4bo22b4o$173b2o4b2o21b
4o$173bo3b5o20b2o$177bo2b2o$173bo3bo4bo$173b4o5bo$172b2ob6o$172bo6b3o
$172b2o5b2o$172b2o6bo29b4o$179bo29bo4bo$173bo4bo29bo$174b4o29bo6b2o$207b
2o5b2o$206b3o6bo$207b6ob2o$205bo5b4o$205bo4bo3bo$206b2o2bo$206b5o3bo$
207b2o4b2o$208bo4bo$209b4o15$179bo2bo$176b3o5bo$175b5o2b3o$175b3obo4b
o$177b2o3bo$178bo!

[TheWayOfTheCon]

C/6 gun:

Code: Select all

 x = 114, y = 98, rule = R2,C2,S4,6-9,20,B7-9,18
90b3o$88b2o3bo$94bo$87bo7bo$87bo$87bo3b2o3bo$79b3o6bo2bo4bo$78b2o2bo6b
o5bo$77bo5bo5bo5bo$84bo$76bo6b2o6b4o$76bo4bob2o$76bo6b2o$77bo4b3o$78b
2o2bo$80bobo$80bo2$42b3o$41b4o3b4o$40b2ob2o3b5o13bo$40b2o2bob4o2b2o$39b
2o2bo4bo5bo19bo$39b4o5b2o4bo19b4o$39b4o7bo3bo19b2o3bo$54bo17b2o6bo$41b
o7bo14bo6b2o8bo$49bo3bo10b7o10bo$49bo3bo10b3o$49b4o12b2o11b3o$65b2o9b
2o$73b2o$66bo5bo$66bo4bo$66b2o2bo$68bo10$101b3o$100b4o3b4o$73bo25b2ob
2o3b5o$71bobo25b2o2bob4o2b2o$71bo2b2o22b2o2bo4bo5bo$69b3o4bo21b4o5b2o
4bo$69b2o6bo20b4o7bo3bo$69b2obo4bo35bo$59b4o6b2o6bo22bo7bo$69bo38bo3b
o$58bo5bo5bo5bo31bo3bo$58bo5bo6bo2b2o32b4o$57bo4bo2bo6b3o$57bo3b2o3bo
$66bo$58bo7bo$59bo$60bo3b2o$61b3o9$17bo$15b2obo$14b2o3bo$15b2obo$16b3o
$17bo4$28b2o$27bob2o$27bo2bo$27bob2o$28b2o4$4b2o$4b2obo$4b4o$5b4o$2ob
5o$o3b3obo$2ob4o$b5o$b3o!

Oh, duh. I could've just used the converting reaction.

EDIT: I apparently never discovered a c/3d-to-c/6o reaction, but I did find one where the reverse happens, so my bad.

I've got a strong feeling this 6c/24 can be turned into a puffer if you have two interacting copies.

Code: Select all

x = 11, y = 5, rule = R2,C2,S4,6-9,20,B7-9,18
b2o5b2o$b3o3b3o$4o3b4o$3o5b3o$3bo3bo!

[TheWayOfTheCon]

Diagonal spark travel thing.

Code: Select all

x = 35, y = 39, rule = R2,C2,S4,6-9,20,B7-9,18
31b4o$31b4o$31b4o$32b2o5$28b3o$28b3o$28b3o5$21b3o$21b3o$21b3o5$14b3o$
14b3o$14b3o5$7b3o$7b3o$7b3o5$3o$3o$3o!

Common evolutionary sequence eater.

Code: Select all

x = 13, y = 16, rule = R2,C2,S4,6-9,20,B7-9,18
10b3o$10bobo$10bobo$10b3o8$3o$3o$3o$3o$o!

[MDA]

Diagonal spark travel thing.

Code: Select all

...

[...]

Isn't that a fuse?

[TheWayOfTheCon]

Isn't that a fuse?

Yeah, you're right.

[TheWayOfTheCon]

Failed stable c/6o eater.

Code: Select all

x = 17, y = 20, rule = R2,C2,S4,6-9,20,B7-9,18
7b3o$7bobo$7bobo$7b3o2$3o11b3o$3o11b3o$3o11b3o8$7b3o$7b3o$6bo3bo$6bo3b
o$7b3o!

Wick reaction that transports the c/6o really fast. I don't think its some kind of superluminous illusion, I don't see the effect go faster than two cells per generation (which would be the speed of light in this rule).

Code: Select all

x = 15, y = 60, rule = R2,C2,S4,6-9,20,B7-9,18
6b3o$6b3o$6b3o3$3o9b3o$3o9b3o$3o9b3o$6b3o$6b3o$6b3o3$3o9b3o$3o9b3o$3o
9b3o$6b3o$6b3o$6b3o3$3o9b3o$3o9b3o$3o9b3o$6b3o$6b3o$6b3o3$3o9b3o$3o9b
3o$3o9b3o$6b3o$6b3o$6b3o3$3o9b3o$3o9b3o$3o9b3o$6b3o$6b3o$6b3o3$3o9b3o
$3o9b3o$3o9b3o8$6b3o$6b3o$5bo3bo$5bo3bo$6b3o!

Period-100 in C2_1 that I didn't see before:

Code: Select all

x = 13, y = 5, rule = R2,C2,S4,6-9,20,B7-9,18
b2o4b3o$4o6b2o$2ob2o3b2ob2o$b2o6b4o$3b3o4b2o!

And a new p27 from D8_1!

Code: Select all

x = 41, y = 41, rule = R2,C2,S4,6-9,20,B7-9,18
19bobo2$19b3o8$16bo7bo$16b2o5b2o$14b2o9b2o$14b2o9b2o$12b2o13b2o$12b2o
13b2o$10b2o17b2o$11bo17bo2$obo35bobo$2bo35bo$obo35bobo2$11bo17bo$10b2o
17b2o$12b2o13b2o$12b2o13b2o$14b2o9b2o$14b2o9b2o$16b2o5b2o$16bo7bo8$19b
3o2$19bobo!

[TheWayOfTheCon]

2c/2 (the equivalent of c/2) partials using factoriosrc.

Code: Select all

x = 61, y = 13, rule = R2,C2,S4,6-9,20,B7-9,18
9b6o$7b3ob2ob3o23b3o10b3o$6b3o2b2o2b3o21b6o6b6o$3b3o2bo6bo2b3o17b2obo
2b3o2b3o2bob2o$2b4o2bo2b2o2bo2b4o15b2o5b2ob2ob2o5b2o$b2o2bo2bo2b2o2bo
2bo2b2o13b2o3bo2bo2b2o2bo2bo3b2o$b2o2bo2bo2b2o2bo2bo2b2o17bo3bo2b2o2b
o3bo$3o2bo2bo6bo2bo2b3o12b2o2b2o2bo2b2o2bo2b2o2b2o$b2ob2o2bo2b2o2bo2b
2ob2o12bo4b2o2bobo2bobo2b2o4bo$b5o2bo2b2o2bo2b5o12bo4b2o2bobo2bobo2b2o
4bo$3b3o12b3o$2bobo5bo2bo5bobo$bo7b6o7bo!

The period-50 can be produced when this nonomino collides with a specific still life.

Code: Select all

x = 7, y = 7, rule = R2,C2,S4,6-9,20,B7-9,18
4b2o$4b3o$4b3o$5bo$2o$bo$obo!

EDIT: Promising c/3 partials.

Code: Select all

x = 140, y = 20, rule = R2,C2,S4,6-9,20,B7-9,18
3b6o14b6o13b6o15b6o16b6o15b6o17b6o$2b2o4b2o12b2o4b2o11b2o4b2o13b2o4b2o
14b2o4b2o13b2o4b2o15b2o4b2o$2bo6bo12bo6bo11bo6bo13bo6bo14bo6bo13bo6bo
15bo6bo$bo8bo10bo8bo9bo8bo11bo8bo12bo8bo11bo8bo13bo8bo$b2o6b2o10b2o6b
2o9b2o6b2o11b2o6b2o12b2o6b2o11b2o6b2o13b2o6b2o$3b2o2b2o14b2o2b2o13b2o
2b2o15b2o2b2o16b2o2b2o15b2o2b2o17b2o2b2o3$3o6b3o8b3o6b3o7b3o6b3o9b3o6b
3o10b3o6b3o9b3o6b3o11b3o6b3o$5b2o12bo3bo4bo3bo5bo3bo4bo3bo7bo3bo4bo3b
o8bo3bo4bo3bo7bo3bo4bo3bo9bo3bo4bo3bo$19bo12bo5bo3bo4bo3bo7bo3bo4bo3b
o8bo3bo4bo3bo7bo3bo4bo3bo9bo3bo4bo3bo$38bo12bo7bo12bo8bo4b4o4bo7bo12b
o8bo14bo$43bo2bo12bo3bo4bo3bo8bo12bo11bo4bo12bo6b2o6bo$38bo3bo4bo3bo7b
o4bo2bo4bo8b2o2b6o2b2o7bo3bo4bo3bo8bo6b2o6bo$38b2o3bo2bo3b2o13b2o35bo
3bo4bo3bo9bo3b6o3bo$124b2o4bo2bo4b2o$125b2ob2o4b2ob2o3$126bobob4obobo
!

EDIT 2: After about two hours, factoriosrc confirmed that there are no D2-symmetric c/3 spaceships of width 13.

[TheWayOfTheCon]

Speedrunner Niftski just beat the any% world record for Super Mario Bros.: 4:54.332, a two-frame (33 millisecond) improvement over the previous one. The speedrun would have to be just four frames (67 milliseconds) faster to be perfect.

[TheWayOfTheCon]

Rob's p16 is a period-16 oscillator that was found by Rob Liston on February 9, 2020 using Adam P. Goucher's apgsearch, and first noticed by a human the next day.

The phrasing here is hilarious.

[TheWayOfTheCon]

Code: Select all

x = 4, y = 3, rule = B3/S23
ob2o$3o$bo!
[[ ZOOM 20 Y 8 GPS 4 AUTOSTART T 16 ]]
[[ T 16 GPS 1  T 20 PAUSE 2 ]]
[[ ZOOM 12 X -5 Y 15 T 20 GPS 30 ]]

[TheWayOfTheCon]

Code: Select all

x = 180, y = 93, rule = R2,C2,S4,6-9,20,B7-9,18
78b3o5b3o$78b3o5b3o$78b3o5b3o$86b3o$87bo5$85b2o$84bo2bo$84b4o$85b2o38$
29b3o$29b3o$29b3o$29b3o$4b3o23bo$4b3o$4b3o$4b3o$5bo$28b2o$27bo2bo$27b
4o$28b2o$4o$o2bo$4o56b3o$60b3o$60b3o$60b3o21b3o$61bo22b3o$84b3o90b3o$
84b3o90b3o$85bo91b3o$177b3o$53b4o121bo$53bo2bo76b3o$53b4o76b3o$133b3o
40bo$83bo43b3o3b3o38b2o$81b2o44b3o4bo39b2o$25b3o53b2o34bo9b3o31b3o$25b
3o88bobo42bobo$25b3o88bobo42bobo$25b3o133b3o$26bo5$19b3o$19bobo$19bob
o$19b3o!

[TheWayOfTheCon]

This still life is holding a spaceship hostage

Code: Select all

x = 16, y = 12, rule = R2,C2,S4,6-9,20,B7-9,18
2b3o7b3o$2b3o7b3o$bo3bo5bo3bo$2bobo7bobo$2b3o7b3o2$2bo2$3o$obo$obo$3o
!

[yyh_baboon]

This still life is holding a spaceship hostage

Code: Select all

x = 16, y = 12, rule = R2,C2,S4,6-9,20,B7-9,18
2b3o7b3o$2b3o7b3o$bo3bo5bo3bo$2bobo7bobo$2b3o7b3o2$2bo2$3o$obo$obo$3o
!

Releasing the spaceship:

Code: Select all

 x = 15, y = 18, rule = R2,C2,S4,6-9,20,B7-9,18
11b3o$11b3o$10bo3bo$11bobo$11b3o2$11bo2$9b3o$9bobo$9bobo$9b3o2$2bo$2o
b2o$o2b2o$2ob2o$2bo!

[TheWayOfTheCon]

I had a half-baked idea regarding measuring the frequency of evolutionary sequences.

The measuring process goes as follows:

• Take all n-ominoes and n-plets with a certain number of cells

• See how many eventually evolve into the sequence of interest

• Divide the number of n-ominoes and n-plets that evolved into the sequence by the total number of possible n-ominoes and n-plets

Take this traffic light predecessor for example:

Code: Select all

x = 5, y = 3, rule = B3/S23
2bo$2ob2o$2bo!

Let's figure out its frequency among tetrominoes and tetraplets. There are tetraplets and 5 tetrominoes (27 total)

Code: Select all

x = 54, y = 46, rule = B3/S23
7b2o6b3o6b4o6b3o6b2o$7b2o7bo19bo7b2o14$4o6b3o7b3o7b2obo6b2o8b2o$13bo8b
o9bo9b2o8bo$53bo7$2o8b2o8b2o8b2o8b2o8b2o$2bo9bo8b2o8bo9bo8b2o$2bo8bo20b
o7bo7$obo7bo9bo9bo9bo9bo$bobo7b2o8b2o8bobo7bo9bo$13bo7bo10bo9bo8bo$43b
o6bo7$bo8bo9bobo7bo$obo7b2o9bo9b2o$bo8bo11bo7bo!

And we see that three of them evolve into that specific predecessor.

So 3 out of 27 (or 1/9) of all tetrominoes and tetraplets evolve into the sequence.

Thus, the sequence's frequency among tetrominoes and tetraplets is 1/9, or 11.1%. You could scale this up for pentominoes and pentaplets, hexominoes and hexaplets, etc. or do it with different sequences.

I'll post this in an appropriate thread outside of the sandbox when I get time.

[TheWayOfTheCon]

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