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853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:15:41
let me show
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:17:46
$(\frac{1}{1}- \frac{2}{2} + \frac{1}{3}) + (\frac{1}{2} - \frac{2}{3} + \frac{1}{4}) + (\frac{1}{3} -\frac{2}{4} + \frac{1}{5}) + (\frac{1}{4} - \frac{2}{5} + \frac{1}{6}) + ...$
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:17:48
there
1
0
510,789,298,321,096,700
TeXit
0796
TeXit
true
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
510,789,298,321,096,700
TeXit
02/23/2022 14:18:13
**kaniii**
https://cdn.discordapp.c…459459895377.png
894935459459895377.png
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 14:18:56
the middle term cancels two other terms
0
1
261,933,205,387,477,000
riemann
2529
riemann
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 14:19:11
write -2/n = -1/n - 1/n
0
1
261,933,205,387,477,000
riemann
2529
riemann
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:27:48
but we dont have 3 fractions of any same denominator
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:27:50
i still dont see it
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 14:28:20
look for 1/4
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:28:35
yes
1
0
510,789,298,321,096,700
TeXit
0796
TeXit
true
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:28:38
ah
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:28:39
ok
1
0
261,933,205,387,477,000
riemann
2529
riemann
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:28:47
but,,,,
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 14:29:33
?
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:31:20
i dont really see how to cancel it out
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:31:20
po
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 14:37:27
what's $c_2 + b_3 + a_4$?
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
510,789,298,321,096,700
TeXit
02/23/2022 14:37:29
**riemann**
https://cdn.discordapp.c…205387477002.png
261933205387477002.png
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:49:16
0
1
0
261,933,205,387,477,000
riemann
2529
riemann
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 14:50:08
Generalize it to any n now
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 14:50:31
It also holds for 1/3
0
1
510,789,298,321,096,700
TeXit
0796
TeXit
true
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 14:50:41
And if you write more you'll cancel more
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:50:57
you are right
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:51:22
in the end, what does it not cancel?
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 14:57:14
Write it out
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 14:57:14
1/1 and 1/2?
1
0
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 15:05:13
3/2 and 1/(n+1) will not be cancelled out @riemann
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 15:09:11
Are you supposed to evaluate a series
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 15:09:26
this is infinite
1
0
510,789,298,321,096,700
TeXit
0796
TeXit
true
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 15:09:27
tho
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 15:09:40
That's what a series is
0
1
261,933,205,387,477,000
riemann
2529
riemann
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 15:10:08
Take the limit of your partial sum
0
1
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 15:19:11
i dont know the limit
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 15:20:43
like you dont know what limits are?
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 15:21:12
or you don't know how to take the limit of this
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 15:22:09
this
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 15:30:21
so what do i do
1
0
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 15:34:02
u there?
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 15:34:07
@riemann (sorry to ping)
1
0
261,933,205,387,477,000
riemann
2529
riemann
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
706,934,233,012,371,600
Ansh_
02/23/2022 15:42:54
?
0
1
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
706,934,233,012,371,600
Ansh_
02/23/2022 15:42:59
?
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
706,934,233,012,371,600
Ansh_
02/23/2022 15:43:08
Does that decomposition help you in the slightest?
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 15:43:34
yes?
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
706,934,233,012,371,600
Ansh_
02/23/2022 15:43:42
then
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
706,934,233,012,371,600
Ansh_
02/23/2022 15:43:47
can you see the terms cancelling?
0
1
261,933,205,387,477,000
riemann
2529
riemann
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
706,934,233,012,371,600
Ansh_
02/23/2022 15:44:38
for some n, there exists a n - 1, and a n + 1, so 1/(n+1) + 1/(n - 1) would be present as long as n > 2, and those terms will cancel -2/n :nozoomi:
0
1
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
706,934,233,012,371,600
Ansh_
02/23/2022 15:45:04
here's a better decomposition that let's you see the **telescoping series**
0
1
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
706,934,233,012,371,600
Ansh_
02/23/2022 15:46:05
$\frac{2}{n(n+1)(n+2)} = \frac{1}{n(n+1)} - \frac{1}{(n+1)(n+2)}$
0
1
261,933,205,387,477,000
riemann
2529
riemann
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
510,789,298,321,096,700
TeXit
02/23/2022 15:46:22
https://cdn.discordapp.c…233012371577.png
706934233012371577.png
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
706,934,233,012,371,600
Ansh_
02/23/2022 15:47:19
now, I believe you can follow up and hope you'll **remember** this decomposition
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 15:54:30
yes
1
0
261,933,205,387,477,000
riemann
2529
riemann
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 15:54:38
and trhis is what i got
1
0
510,789,298,321,096,700
TeXit
0796
TeXit
true
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 15:55:02
ok
1
0
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 15:55:15
but that still doesnt help me find the sum
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
183,668,144,404,037,630
Ann
02/23/2022 15:59:00
when n goes to infinity, what happens with 1/(n+1)?
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 16:03:09
get smaller?
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 16:03:23
approaches 0 i think
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 16:03:34
so we can say the sum is 3/2
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
183,668,144,404,037,630
Ann
02/23/2022 16:04:00
yes, exactly. it approaches 0
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 16:10:47
3/2 was incorrect
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 16:12:12
why?
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
261,933,205,387,477,000
riemann
02/23/2022 16:12:13
did you do this wrong?
0
1
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 16:12:25
u dont think so
1
0
706,934,233,012,371,600
Ansh_
3502
Arya
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 16:12:30
*i
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 16:12:55
oh it should be 1/2
1
0
706,934,233,012,371,600
Ansh_
3502
Arya
false
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 16:12:57
my bad
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 16:13:07
thanks
1
0
null
null
null
null
null
853
help-10
a52fe7eb9c9b4815bfeb9668033c8e5e
456,226,577,798,135,800
Deleted User
02/23/2022 16:13:21
.close
1
0
183,668,144,404,037,630
Ann
0413
Ann
false
854
help-10
8e780fd994024fa4832082bc066e35ed
485,494,558,088,495,100
vo
02/23/2022 16:24:28
https://cdn.discordapp.c…852/IMG_3026.png
IMG_3026.png
1
0
null
null
null
null
null
854
help-10
8e780fd994024fa4832082bc066e35ed
485,494,558,088,495,100
vo
02/23/2022 16:24:34
how did they get 25/4
1
0
null
null
null
null
null
854
help-10
8e780fd994024fa4832082bc066e35ed
485,903,210,272,391,200
dldh06
02/23/2022 16:25:14
Complete the square
0
1
null
null
null
null
null
854
help-10
8e780fd994024fa4832082bc066e35ed
485,903,210,272,391,200
dldh06
02/23/2022 16:25:29
(b/2)^2
0
1
null
null
null
null
null
854
help-10
8e780fd994024fa4832082bc066e35ed
485,494,558,088,495,100
vo
02/23/2022 16:26:32
say the number there is 7
1
0
null
null
null
null
null
854
help-10
8e780fd994024fa4832082bc066e35ed
485,494,558,088,495,100
vo
02/23/2022 16:26:38
(as opposed to 5)
1
0
456,226,577,798,135,800
Deleted User
0000
Deleted User
false
854
help-10
8e780fd994024fa4832082bc066e35ed
485,494,558,088,495,100
vo
02/23/2022 16:26:44
what would it be instead
1
0
null
null
null
null
null
854
help-10
8e780fd994024fa4832082bc066e35ed
485,494,558,088,495,100
vo
02/23/2022 16:26:53
49/4?
1
0
null
null
null
null
null
854
help-10
8e780fd994024fa4832082bc066e35ed
485,903,210,272,391,200
dldh06
02/23/2022 16:27:48
Yes
0
1
null
null
null
null
null
854
help-10
8e780fd994024fa4832082bc066e35ed
485,494,558,088,495,100
vo
02/23/2022 16:28:23
okay i get it now
1
0
null
null
null
null
null
854
help-10
8e780fd994024fa4832082bc066e35ed
485,494,558,088,495,100
vo
02/23/2022 16:28:24
thank u
1
0
null
null
null
null
null
854
help-10
8e780fd994024fa4832082bc066e35ed
485,494,558,088,495,100
vo
02/23/2022 16:34:17
.close
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0
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help-10
05a2bc9d6f0b42f4bed26d0985fb6ad8
157,722,594,529,771,520
Twala
02/23/2022 16:48:35
Currently learning about MMS (Manufactured Solutions) and having a bit of trouble figuring out where to start for this problem. If someone could help me that'd be great!
https://cdn.discordapp.c…b6f625a4f314.png
307142e39dfe2f6b2d5eb6f625a4f314.png
1
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help-10
05a2bc9d6f0b42f4bed26d0985fb6ad8
157,722,594,529,771,520
Twala
02/23/2022 16:49:00
I know that you usually set `w(t)=f(t,w)+g(t)`
1
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855
help-10
05a2bc9d6f0b42f4bed26d0985fb6ad8
157,722,594,529,771,520
Twala
02/23/2022 16:49:06
And `y(a)=w(a)`
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485,494,558,088,495,100
vo
7180
vo
false
855
help-10
05a2bc9d6f0b42f4bed26d0985fb6ad8
157,722,594,529,771,520
Twala
02/23/2022 17:04:30
.close
1
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null
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856
help-10
ed49a73217d84786ad614bd512f6966b
716,143,555,193,733,100
HSUUUSS
02/23/2022 17:11:24
https://cdn.discordapp.c…t_5.11.04_PM.png
Screen_Shot_2022-02-23_at_5.11.04_PM.png
1
0
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856
help-10
ed49a73217d84786ad614bd512f6966b
716,143,555,193,733,100
HSUUUSS
02/23/2022 17:11:30
hi i have a question here
1
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856
help-10
ed49a73217d84786ad614bd512f6966b
716,143,555,193,733,100
HSUUUSS
02/23/2022 17:11:57
i dont get why <1,3,-1>*<2,-1,3>=<8,-5,-7.
1
0
null
null
null
null
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856
help-10
ed49a73217d84786ad614bd512f6966b
373,884,980,977,336,300
Remavas
02/23/2022 17:14:02
Do you know how to calculate the cross-product?
0
1
null
null
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856
help-10
ed49a73217d84786ad614bd512f6966b
716,143,555,193,733,100
HSUUUSS
02/23/2022 17:14:14
yes
1
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485,494,558,088,495,100
vo
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856
help-10
ed49a73217d84786ad614bd512f6966b
373,884,980,977,336,300
Remavas
02/23/2022 17:15:09
Well then calculate (1,3,-1) x (2,-1,3)
0
1
null
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856
help-10
ed49a73217d84786ad614bd512f6966b
373,884,980,977,336,300
Remavas
02/23/2022 17:15:17
And you'll get (8,-5,-7)
0
1
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null
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856
help-10
ed49a73217d84786ad614bd512f6966b
373,884,980,977,336,300
Remavas
02/23/2022 17:15:42
numpy agrees with the text
https://cdn.discordapp.c…4050/unknown.png
unknown.png
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856
help-10
ed49a73217d84786ad614bd512f6966b
716,143,555,193,733,100
HSUUUSS
02/23/2022 17:16:54
i got <8,5,-7>
1
0
null
null
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null
null
856
help-10
ed49a73217d84786ad614bd512f6966b
716,143,555,193,733,100
HSUUUSS
02/23/2022 17:17:41
https://cdn.discordapp.c…685AC2DCF706.jpg
E9251D54-D53C-49A9-89F2-685AC2DCF706.jpg
1
0
null
null
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null
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856
help-10
ed49a73217d84786ad614bd512f6966b
238,110,428,339,634,180
Mango
02/23/2022 17:18:53
Is it not (-1 * 2) - (1 * 3)?
0
1
null
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null
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856
help-10
ed49a73217d84786ad614bd512f6966b
716,143,555,193,733,100
HSUUUSS
02/23/2022 17:19:11
oh shoo
1
0
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856
help-10
ed49a73217d84786ad614bd512f6966b
716,143,555,193,733,100
HSUUUSS
02/23/2022 17:19:18
oops
1
0
null
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856
help-10
ed49a73217d84786ad614bd512f6966b
716,143,555,193,733,100
HSUUUSS
02/23/2022 17:19:23
sorry
1
0
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856
help-10
ed49a73217d84786ad614bd512f6966b
716,143,555,193,733,100
HSUUUSS
02/23/2022 17:19:35
i literally calculated twice
1
0
null
null
null
null
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856
help-10
ed49a73217d84786ad614bd512f6966b
238,110,428,339,634,180
Mango
02/23/2022 17:19:42
Happens sometimes
0
1
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