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help-10
ee448639576c4143891f4790ad67b2df
766,866,943,566,938,100
demaw
03/14/2022 22:34:14
considering the integral of f(n) on the interval zero to infinity would obviously be equal to one i don't see anything wrong with these numbers
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
141,791,176,540,946,430
frownyfrog
03/14/2022 22:34:51
awesome
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
766,866,943,566,938,100
demaw
03/14/2022 22:36:20
finally i can rest in peace knowing the answer to a silly little probability problem
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
766,866,943,566,938,100
demaw
03/14/2022 22:36:55
does this satisfy the answer you needed?
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 22:42:16
still trying to understand what was done
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 22:44:04
so it sort of looks like instead of viewing it as one big system, we look at each die individually since each roll is independent.
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 22:45:43
im a bit confused here though. the original problem was starting with 25 dice (a particular case of n=25 dice), and seeing if it takes N rolls to eliminate all of them, but it looks like this is solving for n dice and 25 rolls.
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:47:12
am i the biggest fool in existence
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:47:14
sorry
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:47:17
i'm sleep deprived
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:48:36
P(A) = P(a single one reaches n) = (5/6)^n P(B) = P(a single one reaches n+1) = (5/6)^(n+1) P(C) = P(none of the 25 dice reach n) = (1 - P(A))^25 P(D) = P(none of the 25 dice reach n+1) = (1 - P(B))^25 P(C' and D) = P(at least one die reaches 25 but none reach 26) = P(D) - P(C and D) = P(D) - P(C) = (1 - P(B))^25 - (...
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:48:43
swapped everything around
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 22:49:32
im guessing it should be N instead of n here?
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
766,866,943,566,938,100
demaw
03/14/2022 22:49:45
arent we all
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:49:47
sure whatever
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
766,866,943,566,938,100
demaw
03/14/2022 22:50:25
yea in place of n, they use 25 and 26 to represent the probability at n=26
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
141,791,176,540,946,430
frownyfrog
03/14/2022 22:50:50
yeah
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 22:50:52
P(A) = P(a single one reaches N) = (5/6)^N P(B) = P(a single one reaches N+1) = (5/6)^(N+1) P(C) = P(none of the 25 dice reach N) = (1 - P(A))^25 P(D) = P(none of the 25 dice reach N+1) = (1 - P(B))^25 P(C' and D) = P(at least one die reaches N but none reach N+1) = P(D) - P(C and D) = P(D) - P(C) = (1 - P(B))^25 - (...
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:51:04
same difference
0
1
209,767,680,100,663,300
Kaisheng21
4584
Kaisheng21
false
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 22:51:09
just making sure
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
766,866,943,566,938,100
demaw
03/14/2022 22:51:17
also wouldnt you want to use (n-1) and (n) instead of (n) and (n+1), respectively?
0
1
196,803,594,576,592,900
nix
2718
nilpotent nix
false
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:51:31
no
0
1
766,866,943,566,938,100
demaw
0427
demaw
false
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:51:38
we want it to reach n but not n+1
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:51:44
n-1 is irrelevant?
0
1
209,767,680,100,663,300
Kaisheng21
4584
Kaisheng21
false
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:51:49
wait
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:51:55
fuck
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
766,866,943,566,938,100
demaw
03/14/2022 22:51:55
oh never mind we have a different interpretation of what n means
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 22:52:04
wait is that last line actually correct?
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:52:04
no i think you're right
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
141,791,176,540,946,430
frownyfrog
03/14/2022 22:52:27
wouldn't you do minus 1?
0
1
209,767,680,100,663,300
Kaisheng21
4584
Kaisheng21
false
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:52:31
oh i copypasted something without changing it
0
1
209,767,680,100,663,300
Kaisheng21
4584
Kaisheng21
false
1,253
help-10
ee448639576c4143891f4790ad67b2df
766,866,943,566,938,100
demaw
03/14/2022 22:52:33
n is the amount of rolls where there are no more dice
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:52:35
ok lemme rego
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:53:25
P(A) = P(a single one reaches n-1) = (5/6)^(n-1) P(B) = P(a single one reaches n) = (5/6)^n P(C) = P(none of the 25 dice reach n-1) = (1 - P(A))^25 P(D) = P(none of the 25 dice reach n) = (1 - P(B))^25 P(C' and D) = P(at least one die reaches n-1 but none reach n) = P(D) - P(C and D) = P(D) - P(C) = (1 - P(B))^25 - (...
0
1
196,803,594,576,592,900
nix
2718
nilpotent nix
false
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:53:29
_ _ third time lucky
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
141,791,176,540,946,430
frownyfrog
03/14/2022 22:54:53
(5/6)^N → a die lives for N rolls 1 - (5/6)^N → a die dies at some point before N+1 (1 - (5/6)^N)^25 → they all die before N+1 (1 - (5/6)^(N-1))^25 → they all die before N
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
141,791,176,540,946,430
frownyfrog
03/14/2022 22:55:20
you want them all to die before N+1 but not too early
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 22:56:45
okay that makes a lot of sense actually
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
766,866,943,566,938,100
demaw
03/14/2022 22:57:32
yea im pretty sure this is correct. like 95% sure
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:57:59
the amount of time it took me to do that
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 22:58:08
i am unfit for any task beyond making simple gruel
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
766,866,943,566,938,100
demaw
03/14/2022 22:59:10
well look on the positive side. you can feel satisfied now that you've synthesized a coherent and logical answer to the problem you've been analyzing for about half an hour at least
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
239,341,577,242,148,860
Toru
03/14/2022 22:59:13
is this a geometric distribution?
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 22:59:54
its been a few months since i took probability so i need to check
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 22:59:57
but i think so
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 23:00:05
surely not
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 23:00:13
close to at least
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 23:00:28
it's the difference between geometric distributions
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 23:00:40
the difference between n and n-1
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 23:00:58
i was kinda of thinking a geometric distribution might come up here since it deals with how many failures before a success
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 23:01:04
wait, no
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 23:01:07
i'm blind
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 23:01:10
it's not
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 23:01:21
for each individual die it's clearly geometric
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 23:01:23
overall, no
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
209,767,680,100,663,300
Kaisheng21
03/14/2022 23:01:26
more complicated
0
1
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 23:01:26
yeah
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 23:01:36
thats what i meant
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 23:01:41
alrighty neat
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 23:01:51
thank you guys so much for the help. that was a doozy to be sure.
1
0
null
null
null
null
null
1,253
help-10
ee448639576c4143891f4790ad67b2df
196,803,594,576,592,900
nix
03/14/2022 23:02:06
.close
1
0
null
null
null
null
null
1,254
help-10
2ece8a1a0b354b51a0d4198d7db5ed15
801,553,676,761,563,100
not_just_Ali
03/14/2022 23:03:34
https://cdn.discordapp.c…2F4946990473.png
34830C98-6D9F-49E7-951B-2F4946990473.png
1
0
null
null
null
null
null
1,254
help-10
2ece8a1a0b354b51a0d4198d7db5ed15
801,553,676,761,563,100
not_just_Ali
03/14/2022 23:03:42
https://cdn.discordapp.c…9007354930/2.png
2.png
1
0
null
null
null
null
null
1,254
help-10
2ece8a1a0b354b51a0d4198d7db5ed15
801,553,676,761,563,100
not_just_Ali
03/14/2022 23:04:00
Is the homework program wrong?
1
0
null
null
null
null
null
1,254
help-10
2ece8a1a0b354b51a0d4198d7db5ed15
801,553,676,761,563,100
not_just_Ali
03/14/2022 23:04:10
I've even tried getting it with the LCD
1
0
null
null
null
null
null
1,254
help-10
2ece8a1a0b354b51a0d4198d7db5ed15
141,791,176,540,946,430
frownyfrog
03/14/2022 23:10:55
it's 3
0
1
null
null
null
null
null
1,254
help-10
2ece8a1a0b354b51a0d4198d7db5ed15
141,791,176,540,946,430
frownyfrog
03/14/2022 23:11:08
oh it says that
0
1
null
null
null
null
null
1,254
help-10
2ece8a1a0b354b51a0d4198d7db5ed15
141,791,176,540,946,430
frownyfrog
03/14/2022 23:14:01
https://cdn.discordapp.c…2580/unknown.png
unknown.png
0
1
null
null
null
null
null
1,254
help-10
2ece8a1a0b354b51a0d4198d7db5ed15
801,553,676,761,563,100
not_just_Ali
03/14/2022 23:18:00
How did you get to 4(13-x)=5(11-x)?
1
0
null
null
null
null
null
1,254
help-10
2ece8a1a0b354b51a0d4198d7db5ed15
641,089,718,611,738,600
! Torenuhh
03/14/2022 23:18:55
U crossed multiply
0
1
null
null
null
null
null
1,254
help-10
2ece8a1a0b354b51a0d4198d7db5ed15
801,553,676,761,563,100
not_just_Ali
03/14/2022 23:25:53
ahhhhhh ok gotcha thank you very much!
1
0
null
null
null
null
null
1,254
help-10
2ece8a1a0b354b51a0d4198d7db5ed15
801,553,676,761,563,100
not_just_Ali
03/14/2022 23:25:58
.close
1
0
null
null
null
null
null
1,255
help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:05:27
https://cdn.discordapp.c…738/IMG_2853.png
IMG_2853.png
1
0
null
null
null
null
null
1,255
help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:05:32
https://cdn.discordapp.c…572/IMG_2854.png
IMG_2854.png
1
0
null
null
null
null
null
1,255
help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:05:51
Can anyone help me to show this?
1
0
null
null
null
null
null
1,255
help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:06:50
I checked in the Wikipedia, they used the young’s inequality
1
0
null
null
null
null
null
1,255
help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:07:02
But I didn’t learn that in my courses
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:07:14
Is there any ways to start the proof?
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:07:30
Originally I want to try the mathematical induction
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:07:55
But since it is not proving for integers only, so I am not sure about that
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:20:09
Can I just use basic knowledge of vectors and Cauchy Schwartz inequality to prove it?
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help-10
c5492c749864446b9c119e2d2c37579a
265,853,506,664,136,700
ScapeProf
03/15/2022 02:31:43
Can be done with Jensen’s also
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:36:23
Umm sorry I didn’t learnt that as well
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:36:43
Can I develop the inequality only by Cauchy?
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:37:06
I know it is quite impossible since Cauchy is the special case of holder
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help-10
c5492c749864446b9c119e2d2c37579a
265,853,506,664,136,700
ScapeProf
03/15/2022 02:47:30
Uh
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help-10
c5492c749864446b9c119e2d2c37579a
265,853,506,664,136,700
ScapeProf
03/15/2022 02:48:00
Sounds weird you are asked to prove it then to me
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801,553,676,761,563,100
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c5492c749864446b9c119e2d2c37579a
265,853,506,664,136,700
ScapeProf
03/15/2022 02:48:07
https://www.emis.de/journals/JIPAM/images/299_05_JIPAM/299_05.pdf
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help-10
c5492c749864446b9c119e2d2c37579a
265,853,506,664,136,700
ScapeProf
03/15/2022 02:48:31
Claims to only use CS (haven’t checked its valid)
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:51:55
Umm sorry for the confusion, but when I search in the web, I always find the integration version of the Holder’s inequality
1
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:52:15
And idk how to proceed
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help-10
c5492c749864446b9c119e2d2c37579a
265,853,506,664,136,700
ScapeProf
03/15/2022 02:52:49
Sums are just integrals
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:54:51
Oh
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:55:08
So they use the integral sign to replace the sigma
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:56:19
Seems we have to use Jensen’s anyway
https://cdn.discordapp.c…152/IMG_2855.png
IMG_2855.png
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:56:44
Ok thanks for your help, I will try
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:56:47
:pandaHugg:
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help-10
c5492c749864446b9c119e2d2c37579a
355,287,686,959,071,200
Trenton
03/15/2022 02:56:49
.close
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5fa496b854674b6fb5d89b0e882d4544
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oofboi
03/15/2022 03:01:36
https://cdn.discordapp.c…20315-WA0001.jpg
IMG-20220315-WA0001.jpg
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help-10
5fa496b854674b6fb5d89b0e882d4544
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Gooaaa
03/15/2022 03:02:07
partial decompisition
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