ConwayLife.com

Posted: **May 13th, 2025, 6:42 am**

(10,1)c/28;

x=1,y=1,rule=B3-q4ew/S2-i34i6i
3b2o$2bobo$bobo5b3o$2o7bo10bo$b2o6b3o8bobo2$19b2o!

Posted: **May 13th, 2025, 9:41 am**

yyh_baboon wrote: May 13th, 2025, 6:42 am (10,1)c/28;
Code: Select all
x=1,y=1,rule=B3-q4ew/S2-i34i6i
3b2o$2bobo$bobo5b3o$2o7bo10bo$b2o6b3o8bobo2$19b2o!

Is it already known? Anyway, quickly constructed a quadratic growth:

Code: Select all

x = 110, y = 40, rule = B3-q4ew/S2-i34i6i
103b3o$101bo6b2o$105bo2b2o$101bob4o$57b2o47bo$56bobo46b2o$55bo8b2o10b
o$55bobo5b2o10bo9bo$55b2o7b2o5bo2b3o7b3o$71bo2bo8bo2b2o$73b2o2bo5b3o3$
104b3o$60b2o21bo20bo2bo$60b2o21bobo18bo2bo$40b2o42bo20bob2o$40b2o64b3o
$20b2o72bo10bobo$20b2o67b2o2b3o6b2o$89b2ob2o2b2o4bo3bo$33bo11b2o16bo29b
2o8b3o$5b2o24b2o11bobo4bo42bo$6b2o22b3obo8bo6b3o9bo3bo30bo$5bo4b3o17b
o2bo10b2o2b3ob2o6bo2b2o$9bo2bo18bobo12bo4b2o7b4o$3o5bo23bo14bo2b2o9bo
11bo$bobo5bo2bo34bo15b2o7b3o$2b2o6b3o50b2o7bob2o$68bo5b2o$67b2o5b2o$48b
2o16bobo2bob2o17b3o$48b2o17b2o4bo18b2obo$7b2o19b2o39bo25bo$8b2o18b2o65b
o$7bo4b3o76bo2bo$11bo2bo76b3o$2b3o5bo$3bobo5bo2bo$4b2o6b3o!

Posted: **May 27th, 2025, 8:37 am**

Code: Select all

x = 5, y = 5, rule = 2-a34ce56n7c8/2-ak34ij8/3
2.A$2ABA$3ABA$2ABA$2.A!

does this count as unusual? it has a really high period for a spaceship in a generations rule (255c/19874o)

Posted: **February 7th, 2026, 8:39 pm**

NimbleRogue wrote: March 4th, 2024, 5:25 pm
confocaloid wrote: March 4th, 2024, 2:54 pm These two high-period spaceships look different, but their mechanisms are similar.
In both cases, there is a temporary pair of reactions that oscillate with high periods close to each other (so that the phase of the entire spaceship is reduced to a combination of phases of the two oscillating reactions).
Are there other known examples of this?
Yes here is one 76c/39052o
Code: Select all
x = 44, y = 13, rule = B3aeijr4ej5r6ci7c8/S2-i3-ay4einrtyz5jnr6cn7
b2o$obo$3o7$40b3o$39bo2bo$39b2o2bo$42b2o!
Also for the 14c/85265o Here is what I understand about it
The bottom reaction repeats every 550, and every time the bottom is repeated the top goes forward 4 gens, This happens 133 times before breaking. Over time the top recedes from the center, and then it doubles back, going towards it, the pattern finally breaks when the top has reached the center, This also explains why the graph fluctuates the least in the center

I still need to understand the difference between the sides because sometimes sides seem to be the same reaction just at different generations

Here is another one (18c/4453)

Code: Select all

x = 12, y = 36, rule = B2-an3-iqy4iknrtz5aijq6aek78/S02ck3nqy4eiqrtwy5-q6-i78
2bo4bo$3b4o$ob6obo$2b6o!

EDIT:
A spaceship with a different (although very similar) mechanism, and in my opinion is equally cool (20c/6169)

Code: Select all

x = 12, y = 36, rule = B2-an3-iqy4iknrtz5aijqk6aek78/S02ck3nqy4eirtwy5-eq6-in78
2bo4bo$3b4o$ob6obo$2b6o!

EDIT:
Discovered that the second ship I posted is a new 5S

Posted: **February 9th, 2026, 8:27 pm**

A natural C/2 spaceship that abruptly forms a rake and would do it infinitely (becoming an MMM breeder) but the rakes keep crashing into the first

Code: Select all

#C [[ TRACK 1/2 0/0 MAXGRIDSIZE 14 ]] 
x = 38, y = 44, rule = /1/5V|1/3/5V
25$26.DB$27.CA$16.BD6.B2.CA$15.AC6.AC2.A$6.DB2.DB3.AC2.B3.AC2.A$7.CA2.
CA3.A2.CA3.A2.CA$7.CA2.CA3.A2.CA3.A2.CA$6.DB2.DB3.AC2.B3.AC2.A$15.AC6.
AC2.A$16.BD6.B2.CA$27.CA$26.DB!

Posted: **February 9th, 2026, 8:48 pm**

B468S02357 wrote: February 9th, 2026, 8:27 pm [...]

This pattern is a binary counter. 1 is represented by the presence of a spaceship, and 0 is represented by the absence of a spaceship.

Posted: **February 9th, 2026, 11:09 pm**

R2INT wrote: February 9th, 2026, 8:48 pm
B468S02357 wrote: February 9th, 2026, 8:27 pm [...]
This pattern is a binary counter. 1 is represented by the presence of a spaceship, and 0 is represented by the absence of a spaceship.

So this rake is a binary counter, cool, i don't care. Still amazing this is natural.

Posted: **February 10th, 2026, 7:01 pm**

A bizarre orthogonal spaceship that creates copies of itself which are almost immediately destroyed, turning into still lives, which are destroyed later on (c/340)

Code: Select all

 x = 3, y = 3, rule = B3-cnqy4j5e6n/S2-ci3-aky4einrtz5ak6c7c
3o$obo$2bo!

It can also be turned into a diagonal SMOS which is faster than the component ship, yet it still meets the full period requirement (c/307)

Code: Select all

 x = 64, y = 64, rule = B3-cnqy4j5e6n/S2-ci3-aky4einrtz5ak6c7c
3o$obo$o59$62b2o$63bo$61b3o!

EDIT: adding B7c makes it oblique [(14,1)c/201]

Code: Select all

 x = 3, y = 3, rule = B3-cnqy4j5e6n7c/S2-ci3-aky4einrtz5ak6c7c
3o$obo$2bo!

Posted: **February 11th, 2026, 1:16 am**

OogaBooga_ wrote: February 10th, 2026, 7:01 pm A bizarre orthogonal spaceship that creates copies of itself which are almost immediately destroyed, turning into still lives, which are destroyed later on (c/340)
Code: Select all
 x = 3, y = 3, rule = B3-cnqy4j5e6n/S2-ci3-aky4einrtz5ak6c7c
3o$obo$2bo! 
It can also be turned into a diagonal SMOS which is faster than the component ship, yet it still meets the full period requirement (c/307)
Code: Select all
 x = 64, y = 64, rule = B3-cnqy4j5e6n/S2-ci3-aky4einrtz5ak6c7c
3o$obo$o59$62b2o$63bo$61b3o! 
EDIT: adding B7c makes it oblique [(14,1)c/201]
Code: Select all
 x = 3, y = 3, rule = B3-cnqy4j5e6n7c/S2-ci3-aky4einrtz5ak6c7c
3o$obo$2bo! 

Based on a similar rule, a 60c/2310

:

Code: Select all

 x = 3, y = 3, rule = B3-cnqy4j5ce7c/S2-ci3-aky4einrtz5a6cn
3o$obo$2bo!

Posted: **February 13th, 2026, 1:42 pm**

yyh_baboon wrote: February 11th, 2026, 1:16 am
OogaBooga_ wrote: February 10th, 2026, 7:01 pm
Based on a similar rule, a 60c/2310 :
Code: Select all
 x = 3, y = 3, rule = B3-cnqy4j5ce7c/S2-ci3-aky4einrtz5a6cn
3o$obo$2bo!

Nice find yyh_baboon!

On a different note, here is a strange ship that I can only describe as a pseudo failed replicator (c/116)

Code: Select all

 x = 7, y = 39, rule = B2i3-cny4t6i/S2-ci3-a4ciz5ek
3bo$2b3o$b2o2bo$bo2b3o$2o2b2o$bo$bo$b2o$2b2o26$3bo$5o$2o2bo$b3o$2bo!

If anyone has a better description, please comment on this post

Posted: **February 15th, 2026, 4:42 am**

Spinning c/49o in a LtL rule:

Code: Select all

x = 28, y = 28, rule = R10,C9,S42-85,B65-81,101-115,NC
17.2H$16.5H$17.5H$19.2H2G$20.4G$21.4G$22.4F$23.3F$24.3F$6.A17.E2F$4.
5A16.2E$3.7A15.3E$2.13A10.3E$.15A8.HD2E$.15AH7.HD2E$5A5B5AEGH5.2HGDE$
4A5B4CD2EG2H3.2H2G2D$4A2B5C3DEF2G5H2G3D$4A2B4C3D2EF3G3H3G3D$4A2B3C3D
3E2F7G3D$4A2B2C4D3E3F4G2F3D$.3A2B2C4D3E8F2CD$.4AB3C2D5E5FE3C$2.4AB2C
4D8E3C$3.5A2C5D4EB3C$4.6A2C3DA4B2C$6.9A5B$7.8A3B!

Posted: **February 15th, 2026, 2:50 pm**

I6_I6 wrote: February 15th, 2026, 4:42 am Spinning c/49o in a LtL rule:

Code: Select all

x = 28, y = 28, rule = R10,C9,S42-85,B65-81,101-115,NC
17.2H$16.5H$17.5H$19.2H2G$20.4G$21.4G$22.4F$23.3F$24.3F$6.A17.E2F$4.
5A16.2E$3.7A15.3E$2.13A10.3E$.15A8.HD2E$.15AH7.HD2E$5A5B5AEGH5.2HGDE$
4A5B4CD2EG2H3.2H2G2D$4A2B5C3DEF2G5H2G3D$4A2B4C3D2EF3G3H3G3D$4A2B3C3D
3E2F7G3D$4A2B2C4D3E3F4G2F3D$.3A2B2C4D3E8F2CD$.4AB3C2D5E5FE3C$2.4AB2C
4D8E3C$3.5A2C5D4EB3C$4.6A2C3DA4B2C$6.9A5B$7.8A3B!

A diagonal c/129 ship in a related rule

Code: Select all

x = 76, y = 78, rule = R10,C9,S44-85,B65-82,101-112,NC
5$68.3H$68.3H$55.A13.3H$50.7A13.2H$48.10A12.3H$47.12A12.2G$46.5A2B6A12.
2G$45.5A4B6A11.3G$45.4A6B6A10.3G$45.3A3B2C3B6A9.F2G$45.3A2B5CB6A9.2FG
$45.2A2B7CB4AH9.3F$45.2A2B2C7D3AH9.3F$45.3AB2C7DEFG2H8.3F$45.3AB2C4D3E
2FG2H7.H3F$46.3A2C3D3E2F2G3H4.3HEF$46.3A2C3D2E2F3G9H3E$47.2A2C3DE3F3G
9H3E$47.3AC3DE3F3G8H3E$48.3AC2D2E3F9GD3E$48.4A3D2E3F6G3D2E$49.4A3D2E6F
C4DE$50.4A3BD2B2F3C3D$52.A7B5CD$54.5B5C!

A diagonal c/160 that is glide symmetric (13c/2080 unsimplified)

Code: Select all

x = 28, y = 28, rule = R10,C10,S43-85,B65-81,104-115,NC
17.2H$16.5H$17.5H$19.2H2G$20.4G$21.4G$22.4F$23.3F$24.3F$6.A17.E2F$4.
5A16.2E$3.7A15.3E$2.13A10.3E$.15A8.HD2E$.15AH7.HD2E$5A5B5AEGH5.2HGDE$
4A5B4CD2EG2H3.2H2G2D$4A2B5C3DEF2G5H2G3D$4A2B4C3D2EF3G3H3G3D$4A2B3C3D
3E2F7G3D$4A2B2C4D3E3F4G2F3D$.3A2B2C4D3E8F2CD$.4AB3C2D5E5FE3C$2.4AB2C
4D8E3C$3.5A2C5D4EB3C$4.6A2C3DA4B2C$6.9A5B$7.8A3B!

EDIT: different rule family (INT rulespace)

An insane (113,13)c/1230 SMOI (see gens 420 & 432)

Code: Select all

x = 33, y = 32, rule = B3-cnqy4e5ce7c/S2-ci3-aky4einrtz5a6ain
3bo$2b3o$b2ob2o$26b3o$3b2obo18bo3bo$o3bobo18bo3bo$2o2b3o18b2ob2o$bo$26b
o$27bo4bo$28bob2o$27b4o5$b2o$b2o5$2b3o$2bo2b2o$3b3o$4bo25bo$32bo$32bo
$32bo$29bob2o$29b3o$30bo!

An orthogonal 9c/1483 SMOI

Code: Select all

x = 3, y = 3, rule = B3-cnqy4e5ce7c/S2-ci3-aky4einrz5a6nai
3o$obo$2bo!

(17,6)c/702

Code: Select all

x = 3, y = 3, rule = B3-cnqy4e5ce7c8/S2-ci3-ak4einrzty5a6n7c
3o$obo$2bo!

(14,9)c/326

Code: Select all

x = 3, y = 3, rule = B3-cnqy4e5ce/S2-ci3-ak4einrzt5a6n
3o$obo$2bo!

Posted: **February 18th, 2026, 6:54 pm**

In a Chasm variant (without S4e; here shown with additional +S4c), a very strange doubly self-intercepting puffer-rake spaceship (156c/312o), first discovered by Neocaridina almost at the same time as I spotted it in my apgsearches. It can be easily combined with itself to construct puffers or rakes (two shown below the spaceship):

Code: Select all

x = 139, y = 284, rule = B3-cnqy4j5e6n7c/S2-c3-ay4cinryz6c
116bo$7b2o104bob2o$6bobo107bo$5bo2bo49b3o75b3o$5bo$5b3o$9bo$5b5o$5bo4b
3o$5b3o3b2o84b3o$38bo$35bob2o$38bo133$36b2o$36b3o$5bo30b2o59bo$4b2o3bo
87bo$3b2o3b3o86bo$4b5obo$8bo$4b2o$3b2o53bo77bo$4b2o52bo77bo$5bob2o49bo
55b2o20bo$6b2o106b3o$114b2o18$113bo$4b2o104bob2o$3bobo107bo$2bo2bo49b
3o75b3o$2bo$2b3o$6bo$2b5o$2bo4b3o$2b3o3b2o84b3o$35bo$32bob2o$35bo52$
35bo$32bob2o$b2o32bo$obo2b3o85b3o$o6bo$4o3bo$5bo$3o$o$obo51b3o75b3o$b
2ob2o107bo$3b3o104bob2o$113bo20$113bo$4b2o104bob2o$3bobo107bo$2bo2bo
49b3o75b3o$2bo$2b3o$6bo$2b5o$2bo4b3o$2b3o3b2o84b3o$35bo$32bob2o$35bo!

Or a rake with a built-in interrupted wickstretcher:

Code: Select all

x = 137, y = 43, rule = B3-cnqy4j5e6n7c/S2-c3-ay4cinryz6c
39bo$3bo32bob2o$b5obo2bo28bo$o4bob2o86b3o$o3b2obobo$4o4b3o2$5o$o$3o53b
3o75b3o$117bo$3bob2o107bob2o$3b2obo110bo18$113bo$4b2o104bob2o$3bobo
107bo$2bo2bo49b3o75b3o$2bo$2b3o$6bo$2b5o$2bo4b3o$2b3o3b2o84b3o$35bo$
32bob2o$35bo!

An almost-rake 20c/40o spaceship:

Code: Select all

x = 32, y = 11, rule = B3-cnqy5e7/S23-a4a
6b2o18bo$7bo17bob2o$2bo5bo$b2o3b2ob2o16bob2o$2obo2b2o2bo19bo$2o6bo2bo
16bo2bo$2obo2b2o2bo19bo$b2o3b2ob2o16bob2o$2bo5bo$7bo17bob2o$6b2o18bo!

In a related rule, a rake of this spaceship (or a very similar one) is so tightly spaced that it's not immediately clear what one is looking at due to the unusual behaviour of the spaceship:

Code: Select all

x = 63, y = 35, rule = B3-cnqy5e7/S23-a4a5r6e
12b2o$5bo6b2ob2o$6bo4bo4bo3b3o$5b2o5bob3ob2o2bo2b2o$2bo15bo5bobo$b2obo
13bob2o2bo3b3o$b5o17bo2bobobo$b2obo13bob2o2bo3b3o$2bo15bo5bobo$5b2o5bo
b3ob2o2bo2b2o$6bo4bo4bo3b3o$5bo6b2ob2o$12b2o!

Posted: **February 19th, 2026, 2:06 pm**

An interesting failed replicator that moves at (20,19)c/523

Code: Select all

x = 3, y = 3, rule = B3-cnqy4e5c6ni/S2-ci3-ay4einrzt5ane6n
3o$obo$2bo!

Posted: **February 19th, 2026, 8:30 pm**

OogaBooga_ wrote: February 19th, 2026, 2:06 pm An interesting failed replicator that moves at (20,19)c/523
Code: Select all
x = 3, y = 3, rule = B3-cnqy4e5c6ni/S2-ci3-ay4einrzt5ane6n
3o$obo$2bo!

Good discovery! I found 5S didn’t have this speed before and added this one to the list

Posted: **February 25th, 2026, 3:06 am**

I am not quite sure if this belongs here, but I will put it here anyway. Spaceship based on a replicator that eventually creates debris because when the replicator hits another replicator it creates ash that can interreact with other ash when multiple replicators collide and when enough collide it then makes debris, which when the remaining replicators hit the debris, it is destroyed and rebuilt the same distance away that it originally was from the replicators.
Writing that was probably a waste of time

Code: Select all

x = 63, y = 12, rule = B3-cn5jy6-i7c/S23-jk4cr5acjk6kn7c
50b2o9b2o$2bo17bo29b2o9b2o$2ob2o13b2ob2o$2bo17bo5$2bo17bo$2ob2o13b2ob
2o$2bo17bo29b2o9b2o$50b2o9b2o!

The failed replicator in question:

Code: Select all

x = 3, y = 10, rule = B3-cn5jy6-i7c/S23-jk4cr5acjk6kn7c
3o$obo$3o5$3o$obo$3o!

EDIT: removing S6n increases the period:

Code: Select all

x = 71, y = 22, rule = B3-cn5jy6-i7c/S23-jk4cr5acjk6k7c
bo$bo$bo3$58b2o9b2o$58b2o9b2o3$3o3$3o3$58b2o9b2o$58b2o9b2o3$bo$bo$bo!

Posted: **March 24th, 2026, 11:20 pm**

Everything in this rule is a knight. To be fair, it IS a rule with an asymmetrical neighborhood.

Code: Select all

x = 17, y = 12, rule = R2,C10,S2-3,B2,NW1100100001000001000010001
16.I$14.H.I$12.G.H.I$10.F.G.H.I$8.E.F.G.H$6.D.E.F.G$4.C.D.E.F$2.B.C.D
.E$A.B.C.D$A.B.C$A.B$A!

This is the smallest ship, a ck (lightspeed knight)

Posted: **March 26th, 2026, 8:47 am**

This really looks like that it should be an oscillator:

Code: Select all

 x = 3, y = 3, rule = B3-cenqy4ej5e/S2-ci3-ak4einrz5c6c
3o$obo$2bo!

Posted: **March 29th, 2026, 2:29 am**

yyh_baboon wrote: March 26th, 2026, 8:47 am This really looks like that it should be an oscillator:
Code: Select all
 x = 3, y = 3, rule = B3-cenqy4ej5e/S2-ci3-ak4einrz5c6c
3o$obo$2bo!

What kinds of black magic do you use to create so many cursed spaceships?

Posted: **March 29th, 2026, 3:12 am**

I6_I6 wrote: March 29th, 2026, 2:29 am
yyh_baboon wrote: March 26th, 2026, 8:47 am This really looks like that it should be an oscillator:
Code: Select all
 x = 3, y = 3, rule = B3-cenqy4ej5e/S2-ci3-ak4einrz5c6c
3o$obo$2bo!
What kinds of black magic do you use to create so many cursed spaceships?

A pretty simple method:
1) find a good rulespace;
2) hand-search the space to find strange spaceships.

Posted: **March 29th, 2026, 1:44 pm**

yyh_baboon wrote: March 26th, 2026, 8:47 am This really looks like that it should be an oscillator:
Code: Select all
 x = 3, y = 3, rule = B3-cenqy4ej5e/S2-ci3-ak4einrz5c6c
3o$obo$2bo!

In a related rule, the pattern is an (8,3)c/135 SMOI.

Code: Select all

x = 3, y = 3, rule = B3-cenqy4ej5e6ni/S2-ci3-ak4einrz5ckae6in7c
3o$obo$2bo!

The rule also has a c/6 and a c/15, both of which are orthogonal.

Code: Select all

x = 76, y = 3, rule = B3aijkr4ej5e6in/S2-ci3-ak4einrz5acek6in7c
3o10b3o47b3o7b3o$obo10bobo47bo11bo$o14bo47b2o9b2o!

EDIT:
A very strange (10,4)c/451 SMOI

Code: Select all

x = 3, y = 3, rule = B3-cenqy4ej5ec6ni/S2-ci3-ak4einrz5je
3o$obo$2bo!

The rule also has a 5c/138

Code: Select all

x = 53, y = 3, rule = B3aijkr4ej5ce6in/S2-ci3-ak4einrz5ej
3o47b3o$obo47bobo$o51bo!

Posted: **March 30th, 2026, 1:02 am**

yyh_baboon wrote: March 26th, 2026, 8:47 am This really looks like that it should be an oscillator:
Code: Select all
 x = 3, y = 3, rule = B3-cenqy4ej5e/S2-ci3-ak4einrz5c6c
3o$obo$2bo!

Almost a gun:

Code: Select all

x = 17, y = 98, rule = B3aijkr4ej5e/S2-ci3-ak4einrz5c6c
o11bo$obo7bobo$3o7b3o93$14b3o$14bobo$16bo!

Posted: **March 30th, 2026, 8:28 pm**

A failed oscillator that creates p2 oscillators and then reacts with them to reflect the ship across the y-axis and translate it 8 cells horizontally & 13 cells vertically.

Code: Select all

x = 3, y = 3, rule = B2n3aijkrye4ejz5c/S2-ci3-ak4einrz5jk6en
3o$obo$2bo!

Posted: **March 30th, 2026, 9:47 pm**

yyh_baboon wrote: March 26th, 2026, 8:47 am This really looks like that it should be an oscillator:
Code: Select all
 x = 3, y = 3, rule = B3-cenqy4ej5e/S2-ci3-ak4einrz5c6c
3o$obo$2bo!

5c/414o SMOS from that ship

Code: Select all

x = 20, y = 47, rule = B3aijkr4ej5e/S2-ci3-ak4einrz5c6c
7b2o$8bob2o$8bobo$9b2o7$15b5o$15b2o2bo$16b3o$17bo17$10b2o$10bobo$12bo$
10bobo$10b2o9$o3b2o$bo3bo$bo2bo$2b3o!

Posted: **March 31st, 2026, 8:37 am**

OogaBooga_ wrote: March 29th, 2026, 1:44 pm A very strange (10,4)c/451 SMOI
Code: Select all
x = 3, y = 3, rule = B3-cenqy4ej5ec6ni/S2-ci3-ak4einrz5je
3o$obo$2bo!

Wow! You improved a spaceship for the 5S database again! How did you find this?
Edit:
5c/138 stuck on a still life?

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 x = 15, y = 34, rule = B3aijkr4ej5e/S2-ci3-ak4einrz5c6c
12b2o$13bo$13b2o6$2o$bob2o$bobo$2b2o10$9b3o$9bo2bo$9bob2o$8bo6$2b2o$b
obo$bob2o$2o!

Signal thing:

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 x = 31, y = 82, rule = B3aijkr4ej5e/S2-ci3-ak4einrz5c6c
12b2o$13bo$13b2o21$2o$bob2o$bobo$2b2o10$9b3o$9bo2bo$9bob2o$8bo6$2b2o$
bobo$bob2o$2o8$29b2o$26b2obo$27bobo$27b2o10$19b3o$18bo2bo$18b2obo$22b
o6$27b2o$27bobo$26b2obo$29b2o!

ConwayLife.com

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