Thread for basic questions
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Re: Thread for basic questions
BTW., I never noticed the wonderful graph function of life viewer! Really great!
Is there a way to feed this into Wolfram alpha or other tools that analyze the pop plot automatically?
Is there a way to feed this into Wolfram alpha or other tools that analyze the pop plot automatically?
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Re: Thread for basic questions
The crystal sequence includes a traffic light, so it only works if the glider stream has even period. What are the crystal analog(s) for when a glider stream of odd period is fired at some junk?
I am tentatively considering myself back.
Re: Thread for basic questions
I believe it is a ruler function.GUYTU6J wrote: ↑January 2nd, 2021, 12:11 pmBumping up one of my earlier questions...The quadratic element is actually due to the outermost MMS breeder. By putting the central region into a torus, it gets rid of that factor:77topaz wrote: ↑February 5th, 2020, 2:27 am...For the second, the growth rate is asymptotically quadratic.GUYTU6J wrote: ↑February 5th, 2020, 1:37 amWhat's the growth rate?
...Code: Select all
x = 7, y = 9, rule = B2n3aikq4ceiz6c/S2-i3-a4i 2b3o$2bobo$2bo2b2o$3bo2bo$4b3o$3bo$2bo$obo$3o! #C [[ GRAPH ]]
So what function does the population plot show now?Code: Select all
x = 1506, y = 1511, rule = B2n3aikq4ceiz6c/S2-i3-a4i:T1506,1511 706bo$705bobo$706b2o2$744bo$743bobo$743b2o9$706bo$379bo325bobo$378bobo 325b2o$377bo3bo$376bo5bo361bo$375bo7bo359bobo$376bo5bo360b2o$377bo3bo$ 378bobo$379bo6$706bo$705bobo$706b2o2$744bo$743bobo$743b2o9$706bo$394bo 310bobo$393bobo310b2o$392bo3bo$391bo5bo346bo$390bo7bo344bobo$391bo5bo 345b2o$392bo3bo$393bobo$394bo6$706bo$705bobo$706b2o2$744bo$743bobo$ 743b2o9$706bo$409bo295bobo$408bobo295b2o$407bo3bo$406bo5bo331bo$405bo 7bo329bobo$406bo5bo330b2o$407bo3bo$408bobo$409bo6$706bo$705bobo$706b2o 2$744bo$743bobo$743b2o9$706bo$424bo280bobo$423bobo280b2o$422bo3bo$421b o5bo316bo$420bo7bo314bobo$421bo5bo315b2o$422bo3bo$423bobo$424bo6$706bo $705bobo$706b2o2$744bo$743bobo$743b2o9$706bo$439bo265bobo$438bobo265b 2o$437bo3bo$436bo5bo301bo$435bo7bo299bobo$436bo5bo300b2o$437bo3bo$438b obo$439bo6$706bo$705bobo$706b2o2$744bo$743bobo$743b2o9$706bo$454bo250b obo$453bobo250b2o$452bo3bo$451bo5bo286bo$450bo7bo284bobo$451bo5bo285b 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Re: Thread for basic questions
I asked a similar question earlier:MathAndCode wrote: ↑January 3rd, 2021, 11:55 pmThe crystal sequence includes a traffic light, so it only works if the glider stream has even period. What are the crystal analog(s) for when a glider stream of odd period is fired at some junk?
Schiaparelliorbust wrote: ↑December 30th, 2020, 9:57 amAre there any known crystals other than the basic beehive one?
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Re: Thread for basic questions
...Yes, obviously. There are a full collection of them.Schiaparelliorbust wrote: ↑January 4th, 2021, 2:12 amI asked a similar question earlier:MathAndCode wrote: ↑January 3rd, 2021, 11:55 pmThe crystal sequence includes a traffic light, so it only works if the glider stream has even period. What are the crystal analog(s) for when a glider stream of odd period is fired at some junk?Schiaparelliorbust wrote: ↑December 30th, 2020, 9:57 amAre there any known crystals other than the basic beehive one?
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Re: Thread for basic questions
The wiki only shows one example.
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Re: Thread for basic questions
That's because the term crystal usually refers to only that particular crystal. That one's slow and thus more common than those requiring a specific period. I believe Dean Hickerson have a collection of non-standard crystals.
Re: Thread for basic questions
It only needs to show one example; that's the most common one for gliders.
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Re: Thread for basic questions
Is there not a single common crystal for odd periods, or are odd-period glider streams simply not as common?
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Re: Thread for basic questions
To be honest I have no idea either. (Odd-period glider streams do seem less common though.)MathAndCode wrote: ↑January 4th, 2021, 2:04 pmIs there not a single common crystal for odd periods, or are odd-period glider streams simply not as common?
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
anythingsonata wrote:July 2nd, 2020, 8:33 pmconwaylife signatures are amazing[citation needed]
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Re: Thread for basic questions
I only found this other one there:
Code: Select all
x = 229, y = 225, rule = B3/S23
31$111bo$109b3o11bo$108bo14b3o$108b2o16bo14bo$125b2o12b3o$85bo52bo$71b
o13b3o50b2o$69b3o16bo$43b2o23bo18b2o29b2o$44bo23b2o47b2o18b2o$44bobo
71b2o17b2o$45b2o2b2o68b3o$49b2o70bo$121bo2$81bobo$81bo3bo$81bo3bo35b2o
$83bo17b2o19bo10b3o$101bobo15b3o10bo3bo$103bo15bo11bo$91b2o10b2o19b2o$
91bo33bo5bo3b2o$43b2o36b2o9b3o27b3o7b3o$42bobo16b2o19bo11bo27bo$42bo
18bobo17bo$41b2o20bo17b2o$57b2o4b2o$57bobo80b2o$59bo80bobo$50b2o7b2o
81bo$50b2o90b2o7$40b2o90b2o$41bo90b2o$41bobo$42b2o79b2obo$123bob2o2$
134b2o$61bo70b2o2bo6b2o$59b3o70b2obo7bo$58bo72bob2o6bobo$58b2o81b2o3$
127b2o3b2o$126bobo$126bo$125b2o$63b2o$63bo$61bobo$61b2o3$47b2o81b2o$
46bobo82bo$46bo81b3o$45b2o81bo3$63b2obo73bo$63bob2o72b3o$138b2o2bo$56b
2o82b3o$56b2o5$136bo2b3o$136bob2o2bo$46b2o90bo3b2o$47bo81b2o12bo$47bob
o80bo9bo2bo$48b2o80bobo7bo2bo$125b2o4b2o8b2o$107b2o17bo20b2o$108bo17bo
bo18bo$67bo27bo11bo19b2o16bobo$65b3o27b3o9b2o36b2o$64bo33bo$64b2o19b2o
10b2o32bo$70bo15bo44b2o$68b3o15bobo40b2o2bo$67bo19b2o38bo4b2o$67b2o41b
2o15b3o$110b2o15b2o4$139b2o$70b2o67b2o2b2o27b2o$51b2o17b2o71bobo4b2o
20b2o$51b2o67b2o23bo4b2o$101b2o18bo23b2o$101bo16b3o$50b2o50b3o13bo$51b
o52bo$48b3o12b2o$48bo14bo16b2o$64b3o14bo$66bo11b3o$78bo!
Edit: Added link.
Last edited by Schiaparelliorbust on January 4th, 2021, 2:49 pm, edited 1 time in total.
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Re: Thread for basic questions
("There" meaning in Dean Hickerson's web pages)
Yes, I hope Hunting can provide a link to a bigger collection of crystal reactions. I don't remember seeing anything like that.
Odd-period glider streams might be considered to be "less common" just because when people were first studying crystallization reactions, there weren't any known odd-period guns yet. The first odd-period gun only showed up in 1995, right at the halfway point between the discovery of Conway's Life and today.
Re: Thread for basic questions
I don't see the half-signals, can anyone provide an example?Each 2c/3 signal is made up of two half-signals that can be separated from each other by an arbitrary number of ticks.
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Re: Thread for basic questions
Maybe it's referring to a double-length signal?
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Re: Thread for basic questions
No, a single-length signal.
Code: Select all
x = 86, y = 24, rule = B3/S23
7b2o28b2o28b2o$7b2o28b2o28b2o2$5b6o24b6o24b6o$4bo6bo22bo6bo22bo6bo$bo
2bo2bob3o19bo2bo2bob3o19bo2bo2bob3o$obobobobo5bo15bobobobobo5bo15bobob
obobo5bo$bo2bobo2b6o16bo2bobobo2b4o16bo2bobobo2b4o$4bobobo25bobobobo
23bobobobo$5b2obo2b6o18b2obobob5o18b2obobo2b4o$8bobo6bo20bobo6bo20bobo
bo4bo$8bobo2b5o20bobo2b5o20bobobo2b3o$9b2obo7bo18b2obo7bo18b2obobo5bo$
12bo2b6o21bo2b6o21bobob5o$12bobo8bo18bobo8bo18bobo8bo$11b2obo2b7o17b2o
bo2b7o17b2obo2b7o$14bobo27bobo27bobo$14bobo2b5o20bobo2b5o20bobo2b5o$
15b2obo4bo21b2obo4bo21b2obo4bo$18bo2bo26bo2bo26bo2bo$18bobob4o22bobob
4o22bobob4o$17b2obo4bo21b2obo4bo21b2obo4bo$21b3o27b3o27b3o$23b2o28b2o
28b2o!
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Re: Thread for basic questions
I've been watching ColorfulGalaxy's activity lately, and there's something that I really don't understand.
What's "minimum covering convex polygon"?
His wiki articles also listed the unstablised wick "xq1_3cc3z3cc3z" and "xp0_196609966099660".
Do unstabilized wicks have apgcodes?
Also, "xp0_14" leads to "MWSS spark". But the MWSS doesn't have this spark.
Also, can tagalong be made up of gliders?
The Wiki said that the tagalong is not a spaceship.
What should a person do to become a Life enthusiast?
Will ColorfulGalaxy become a Life Enthusiast in the future?
By the way, how did he get the pixel characters and the fake stub message?
What's "minimum covering convex polygon"?
His wiki articles also listed the unstablised wick "xq1_3cc3z3cc3z" and "xp0_196609966099660".
Do unstabilized wicks have apgcodes?
Also, "xp0_14" leads to "MWSS spark". But the MWSS doesn't have this spark.
Also, can tagalong be made up of gliders?
The Wiki said that the tagalong is not a spaceship.
What should a person do to become a Life enthusiast?
Will ColorfulGalaxy become a Life Enthusiast in the future?
By the way, how did he get the pixel characters and the fake stub message?
Re: Thread for basic questions
A MCCP is the smallest convex polygon (a shape with only straight sides and angles less than 180°) that completely covers the pattern.Donald K Trump wrote: ↑January 5th, 2021, 2:09 amI've been watching ColorfulGalaxy's activity lately, and there's something that I really don't understand.
What's "minimum covering convex polygon"?
His wiki articles also listed the unstablised wick "xq1_3cc3z3cc3z" and "xp0_196609966099660".
Do unstabilized wicks have apgcodes?
Also, "xp0_14" leads to "MWSS spark". But the MWSS doesn't have this spark.
Also, can tagalong be made up of gliders?
The Wiki said that the tagalong is not a spaceship.
What should a person do to become a Life enthusiast?
Will ColorfulGalaxy become a Life Enthusiast in the future?
By the way, how did he get the pixel characters and the fake stub message?
No.
It does, but the MWSS is moving up.
A tagalong is a spaceship component that can be attached to the side or back of another spaceship to create a larger spaceship without interfering with the base. Yes, if the tagalong glider(s) is modified somewhat during the interaction each period, otherwise it's just considered an interaction.
They need to be interested in cellular automata.
They are already.
The pixel characters are in Braille and the fake stub message was copied and modified from the real template.
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
anythingsonata wrote:July 2nd, 2020, 8:33 pmconwaylife signatures are amazing[citation needed]
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Re: Thread for basic questions
What is the minimum integer n so that for any period p so that p≥n, there is an oscillator of period p whose minimum phase has p or fewer cells?
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Re: Thread for basic questions
There is a simple upper bound of 228 on n, as a four-Snark glider loop can be created for any period ≥43 (and thus any ≥228) with that many cells. Some smaller still-life reflector-based loops with larger reset times might reduce this number.MathAndCode wrote: ↑January 6th, 2021, 12:25 amWhat is the minimum integer n so that for any period p so that p≥n, there is an oscillator of period p whose minimum phase has p or fewer cells?
Re: Thread for basic questions
How does Nicolay's modification of WLS work?
Re: Thread for basic questions
Offhand I can't come up with a pair of 180-degree reflectors that can improve on a four-Snark glider loop to get an easy universal answer lower than 228. It's close, though. I can get ≥246 easily enough:mniemiec wrote: ↑January 6th, 2021, 7:02 amThere is a simple upper bound of 228 on n, as a four-Snark glider loop can be created for any period ≥43 (and thus any ≥228) with that many cells. Some smaller still-life reflector-based loops with larger reset times might reduce this number.MathAndCode wrote: ↑January 6th, 2021, 12:25 amWhat is the minimum integer n so that for any period p so that p≥n, there is an oscillator of period p whose minimum phase has p or fewer cells?
Code: Select all
x = 262, y = 253, rule = B3/S23
31bo11b2o$30bobo10b2o$22bo3b2o2bobo$21bobo2bo2b2ob2o$8bo12bobo3bobo$8b
3o11bob4o2bob2o$11bo12bo3bobob2o$10b2o11bo3bobo$22bo3bobo$22b2o3bo3$
39b3o$41bo$3b2o34b3o$3b2o45b2o$49bo2bo$50b2obo$53bo$53b2o$38b2o$39bo$
2obob2o29b3o$ob2ob2o17b2o10bo$24bobo$26bo$18b2o6b2o$7bo10bo$6bobo10b3o
$7bo13bo25$38bo$39b2o$38b2o17$99b2o$98b2o$100bo41$99bobo$100b2o$100bo
16$161bo$160b2o$160bobo41$161bo$162b2o$161b2o17$222b2o$221b2o$223bo25$
240bo13bo$240b3o10bobo$243bo10bo$234b2o6b2o$235bo$235bobo$225bo10b2o
17b2ob2obo$223b3o29b2obob2o$222bo$222b2o$207b2o$208bo$208bob2o$209bo2b
o$210b2o45b2o$220b3o34b2o$220bo$220b3o3$234bo3b2o$233bobo3bo$232bobo3b
o11b2o$228b2obobo3bo12bo$228b2obo2b4obo11b3o$232bobo3bobo12bo$228b2ob
2o2bo2bobo$229bobo2b2o3bo$217b2o10bobo$217b2o11bo!
Code: Select all
x = 129, y = 120, rule = B3/S23
31bo11b2o$30bobo10b2o$22bo3b2o2bobo$21bobo2bo2b2ob2o$8bo12bobo3bobo$8b
3o11bob4o2bob2o$11bo12bo3bobob2o$10b2o11bo3bobo$22bo3bobo$22b2o3bo3$
39b3o$41bo$3b2o34b3o$3b2o45b2o$49bo2bo$50b2obo$53bo$53b2o$38b2o$39bo$
2obob2o29b3o$ob2ob2o17b2o10bo$24bobo$26bo$18b2o6b2o$7bo10bo$6bobo10b3o
$7bo13bo20$33bo$34b2o$33b2o17$94b2o$93b2o$95bo20$107bo13bo$107b3o10bob
o$110bo10bo$101b2o6b2o$102bo$102bobo$92bo10b2o17b2ob2obo$90b3o29b2obob
2o$89bo$89b2o$74b2o$75bo$75bob2o$76bo2bo$77b2o45b2o$87b3o34b2o$87bo$
87b3o3$101bo3b2o$100bobo3bo$99bobo3bo11b2o$95b2obobo3bo12bo$95b2obo2b
4obo11b3o$99bobo3bobo12bo$95b2ob2o2bo2bobo$96bobo2b2o3bo$84b2o10bobo$
84b2o11bo!
Code: Select all
#C p227 oscillator, population 200
x = 82, y = 51, rule = B3/S23
34bob2o$34b2obo$58bob2o$58b2obo$21bo45b2o$21b3o34b3o5bobo$24bo33bo2bo
4bo$7b2o14b2o11b2o22b2o3b2o$7b2o27b2o34b2o$72bo$70bobo$b2o22b3o42b2o$b
2o20bo4bo$5b2o18bob2o$5b2o15b3o$21bo$77b2o$47b2o28bo$2o44bobo26bobo$2o
44bo28b2o$45b2o2$57b2o$42bo15bo$36b2o4b3o10b3o$26bo9bo8bo9bo$24b3o10b
3o4b2o$23bo15bo$23b2o2$35b2o$5b2o28bo44b2o$4bobo26bobo44b2o$4bo28b2o$
3b2o$60bo$57b3o15b2o$53b2obo18b2o$53bo4bo20b2o$10b2o42b3o22b2o$9bobo$
9bo$8b2o34b2o27b2o$15b2o3b2o22b2o11b2o14b2o$15bo4bo2bo33bo$13bobo5b3o
34b3o$13b2o45bo$20bob2o$20b2obo$44bob2o$44b2obo!
Code: Select all
#C p225 oscillator, population 223
x = 66, y = 50, rule = B3/S23
15bo2bo2bo$15b7o$55bo$15b7o32b3o$15bo2bo2bo31b5o7$12b2o39b5o$12b2o4b2o
7b2o7bo6bo10b3o$17b2o3bo4b2o6b2o6b2o10bo$19b2obo11b3o6b3o$21bo13b2o6b
2o$36bo6bo$13b2o11bo$2ob2o10bo10b2o$bobo10bo10bobo6bo$bobo8bobo10bo6bo
bo8b2o$2ob2o7b2o10bo8b2o9bo$bobo9bo11b2o17bobo$bobo41b2o15b2o$2ob2o13b
o31bo11bobo$17bob2o28bobo12bo$11b2o4bo3b2o26bobo12b2o$11b2o7b2o4b2o22b
o$26b2o2$44bo$45b2o$44b2o3$18bo2bo2bo4bo2bob2obo2bo$18b7o4b4ob2ob4o$
29bo2bob2obo2bo14b2o$18b7o30bobo$18bo2bo2bo32bo$48b2o7b2o$48b2o6$46bo
4bo$44b2ob4ob2o$46bo4bo!
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Re: Thread for basic questions
Here's a smaller p225 (not like it really matters):
We can get evens ≥208 by taking half the gliders out of the snark loop, and a pair of rectifiers can get us periods of the form 4n+1 ≥133:
Using tubs and 6 gliders in the loop, we can get all odd periods ≥143:
Now the upper bound on n is 206, which could be improved by using rectifiers more or maybe boojums (booja?).
Code: Select all
x = 60, y = 50, rule = B3/S23
15bo2bo2bo$15b7o2$15b7o$15bo2bo2bo7$12b2o$12b2o4b2o7b2o7bo6bo$17b2o3bo
4b2o6b2o6b2o$19b2obo11b3o6b3o$21bo13b2o6b2o14bo$36bo6bo13b3o$13b2o11bo
29bo$2ob2o10bo10b2o28b2o$bobo10bo10bobo6bo$bobo8bobo10bo6bobo8b2o$2ob
2o7b2o10bo8b2o9bo$bobo9bo11b2o17bobo$bobo41b2o$2ob2o13bo31bo$17bob2o
28bobo$11b2o4bo3b2o26bobo$11b2o7b2o4b2o22bo$26b2o2$44bo$45b2o$44b2o3$
18bo2bo2bo4bo2bob2obo2bo$18b7o4b4ob2ob4o$29bo2bob2obo2bo14b2o$18b7o30b
obo$18bo2bo2bo32bo$48b2o7b2o$48b2o6$46bo4bo$44b2ob4ob2o$46bo4bo!
Code: Select all
x = 73, y = 51, rule = B3/S23
4b2obo$4bob2o2$5b5o$2o2bo4bo20b2o$o2bo2bo23bo$bobob2o21bobo$2obo5bo18b
2o$3bo4bobo$3b2o2bo2bo$8b2o$39b2o$39bo$37bobo$37b2o2$19b2o$19b2o$43bo$
42bobo$42bobo$43bo$29b2o$28b2o$30bo2$42bo$43b2o$42b2o$29bo$28bobo$28bo
bo$29bo$52b2o$52b2o2$34b2o$33bobo$33bo$32b2o$63b2o$62bo2bo2b2o$62bobo
4bo$43b2o18bo5bob2o$42bobo21b2obobo$42bo23bo2bo2bo$41b2o20bo4bo2b2o$
63b5o2$65b2obo$65bob2o!
Code: Select all
x = 149, y = 127, rule = B3/S23
8bo$7bobo$8bo2$6b5o$5bo4bo20b2o$4bo2bo23bo$bo2bob2o21bobo$obobo5bo18b
2o$bo2bo4bobo$4b2o2bo2bo$9b2o$40b2o$40bo$38bobo$38b2o2$20b2o$20b2o7$
33bo$32b2o$32bobo8bo$44b2o$43b2o$30bo$29bobo$29bobo$30bo28$68b2o$68bob
o$68bo11bo$78bobo$79b2o28$118bo$117bobo$117bobo$118bo$104b2o$103b2o$
105bo8bobo$115b2o$115bo7$127b2o$127b2o2$109b2o$108bobo$108bo$107b2o$
138b2o$137bo2bo2b2o$137bobo4bo2bo$118b2o18bo5bobobo$117bobo21b2obo2bo$
117bo23bo2bo$116b2o20bo4bo$138b5o2$140bo$139bobo$140bo!
Any sufficiently advanced software is indistinguishable from malice.
Re: Thread for basic questions
The pentadecathalon works for P15 and the caterer on figure eight works for P24, although the caterer on figure eight is boring. I will admit that it's one of the less-trivial interactions though.
Edit: For P30, there's the queen bee shuttle.
Edit 2: For P36, there's 22P36.
Edit 3: For P40, there's Beluchenko's P40.
Edit 4: For P46, there's the twin bees shuttle and Kazyan's p46.
Edit: For P30, there's the queen bee shuttle.
Edit 2: For P36, there's 22P36.
Edit 3: For P40, there's Beluchenko's P40.
Edit 4: For P46, there's the twin bees shuttle and Kazyan's p46.
Re: Thread for basic questions
related question: does there exist an n such that for any period p:p>=n, there exists an oscillator of period p whose stator contains exactly p cells? I feel like for large enough p there'd be some kind of UCC that makes sure the rotor covers p cellsMathAndCode wrote: ↑January 6th, 2021, 12:25 amWhat is the minimum integer n so that for any period p so that p≥n, there is an oscillator of period p whose minimum phase has p or fewer cells?
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Re: Thread for basic questions
Yes, but what about all of the cases in between?wwei23 wrote: ↑January 6th, 2021, 9:22 pmThe pentadecathalon works for P15 and the caterer on figure eight works for P24, although the caterer on figure eight is boring. I will admit that it's one of the less-trivial interactions though.
Edit: For P30, there's the queen bee shuttle.
Edit 2: For P36, there's 22P36.
Edit 3: For P40, there's Beluchenko's P40.
Edit 4: For P46, there's the twin bees shuttle and Kazyan's p46.
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