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help-10
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Umbraleviathan
04/02/2022 18:15:11
First, simplify $(-1)^{n+1}$
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TeXit
04/02/2022 18:15:14
**Umbraleviathan**
https://cdn.discordapp.c…952961032192.png
349354952961032192.png
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602d528cea064727bdeb18561872eaab
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Umbraleviathan
04/02/2022 18:15:24
We will dissect this
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help-10
602d528cea064727bdeb18561872eaab
388,155,532,130,779,140
Scratch
04/02/2022 18:16:50
-1^n*-1
1
0
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help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:16:57
Ye
0
1
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1,653
help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:17:42
So in the numerator, you'll get $-1 \cdot (-1)^n \cdot (-4)^n$
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help-10
602d528cea064727bdeb18561872eaab
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TeXit
04/02/2022 18:17:44
**Umbraleviathan**
https://cdn.discordapp.c…952961032192.png
349354952961032192.png
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help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:17:46
Simplify that
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help-10
602d528cea064727bdeb18561872eaab
388,155,532,130,779,140
Scratch
04/02/2022 18:18:32
the (-4)^n goes to (-1^n)*4^n
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help-10
602d528cea064727bdeb18561872eaab
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Scratch
04/02/2022 18:18:55
so then -1^2n+1 * 4^n
1
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help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:18:58
No quite
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help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:19:41
Use this property: $a^n \cdot b^n = (ab)^n$ where n is any exponent
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help-10
602d528cea064727bdeb18561872eaab
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TeXit
04/02/2022 18:19:44
**Umbraleviathan**
https://cdn.discordapp.c…952961032192.png
349354952961032192.png
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help-10
602d528cea064727bdeb18561872eaab
388,155,532,130,779,140
Scratch
04/02/2022 18:23:23
so then -4^n
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Umbraleviathan
04/02/2022 18:24:44
No. What is -1 • -4?
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help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:24:59
Well
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help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:25:11
So did you mean (-4)^n or -(4)^n?
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help-10
602d528cea064727bdeb18561872eaab
388,155,532,130,779,140
Scratch
04/02/2022 18:26:05
-1*(4)^n
1
0
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help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:27:21
Then yeah you're correct
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help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:27:22
Nice
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602d528cea064727bdeb18561872eaab
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Umbraleviathan
04/02/2022 18:27:27
So that's the numerator
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Umbraleviathan
04/02/2022 18:27:35
From there, I think you know how to simplify the rest
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help-10
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Scratch
04/02/2022 18:28:58
so I just get -1/n?
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help-10
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Umbraleviathan
04/02/2022 18:29:07
Why did it reopen?
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Umbraleviathan
04/02/2022 18:29:14
Ye
0
1
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help-10
602d528cea064727bdeb18561872eaab
388,155,532,130,779,140
Scratch
04/02/2022 18:29:17
the bot is kinda wack
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help-10
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Umbraleviathan
04/02/2022 18:29:21
Bot kinda
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help-10
602d528cea064727bdeb18561872eaab
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Umbraleviathan
04/02/2022 18:29:23
Kinda did a funny
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help-10
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Scratch
04/02/2022 18:29:29
do you know what I did wrong with my answer?
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help-10
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Scratch
04/02/2022 18:29:47
this
1
0
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help-10
602d528cea064727bdeb18561872eaab
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Umbraleviathan
04/02/2022 18:29:47
Which one
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help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:30:02
Yeah you did a^n^b^n
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help-10
602d528cea064727bdeb18561872eaab
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Umbraleviathan
04/02/2022 18:30:05
which is like
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help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:30:12
Dear god uh
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dldh06
04/02/2022 18:30:19
Bot is breaking
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help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:30:58
You made this mistake: $a^n \cdot b^n \to a^{n^{b^n}}$
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help-10
602d528cea064727bdeb18561872eaab
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TeXit
04/02/2022 18:31:01
**Umbraleviathan**
https://cdn.discordapp.c…952961032192.png
349354952961032192.png
0
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help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:31:02
Which is false
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1
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help-10
602d528cea064727bdeb18561872eaab
349,354,952,961,032,200
Umbraleviathan
04/02/2022 18:31:23
Now idk about you but I wouldn't wanna work with
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help-10
602d528cea064727bdeb18561872eaab
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Umbraleviathan
04/02/2022 18:31:30
Whatever fuckery that is a^n^b^n
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help-10
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388,155,532,130,779,140
Scratch
04/02/2022 18:31:46
uh wait let me redo it
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help-10
602d528cea064727bdeb18561872eaab
388,155,532,130,779,140
Scratch
04/02/2022 18:34:09
oh wait yeah I see
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Scratch
04/02/2022 18:34:11
ty for the help
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Umbraleviathan
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Umbraleviathan
04/02/2022 18:34:40
Np
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help-10
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Scratch
04/02/2022 18:34:47
.close
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Neko
04/03/2022 02:23:45
Solve for Δθ https://media.discordapp.net/attachments/343089687902027777/960059522607640586/qwe.png This is my progress so far and I'm kinda stuck at this point. Am I going in the right direction even?
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Neko
04/03/2022 02:38:45
@Helpers
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Mario_Frigo
04/03/2022 04:15:09
Hello I am currently trying to programm a head tracking system. I used a magnetometer who gives values from -180 to 180. This value varies on the direction in which i'm looking. Now I have a problem at the switch from 180 to -180 because I want it to continue it's linearity after the switch. How can I calculate this?
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Mario_Frigo
04/03/2022 04:15:39
Here is a picture how i thought it would look like
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Mario_Frigo
04/03/2022 04:16:03
https://cdn.discordapp.c…20403_095324.jpg
IMG_20220403_095324.jpg
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Mario_Frigo
04/03/2022 04:16:20
On the left is the value and on the right how it should looks like
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Mario_Frigo
04/03/2022 04:30:48
If I'm lacking in infos just let me know
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Mario_Frigo
04/03/2022 04:30:56
@Helpers
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Math_Helper
04/03/2022 04:37:08
,rotate
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TeXit
04/03/2022 04:37:09
https://cdn.discordapp.c…947626008646.png
908748947626008646.png
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Umbraleviathan
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Math_Helper
04/03/2022 04:38:14
could you explain a bit more? @Mario_Frigo
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Mario_Frigo
04/03/2022 04:42:08
https://cdn.discordapp.c…20403_104046.jpg
IMG_20220403_104046.jpg
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Mario_Frigo
04/03/2022 04:42:30
So for example i look in this direction
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Mario_Frigo
04/03/2022 04:43:19
Ant than the value changes from like 160 to 180 and than skipps to -180 to -160
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Mario_Frigo
04/03/2022 04:43:58
And I would like that it would be translated to a linear value
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Math_Helper
04/03/2022 04:44:12
convert it to 360 degrees?
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Mario_Frigo
04/03/2022 04:44:29
Than I have a skip from 360 to 0
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Math_Helper
04/03/2022 04:45:16
oh
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Math_Helper
04/03/2022 04:47:03
okay i still dont really understand what you need lol
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Math_Helper
04/03/2022 04:47:42
if it doesnt matter if its 90 or -90 just take absolute value
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help-10
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Math_Helper
04/03/2022 04:48:01
then it would go 0 to 180 and 180 to 0
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Mario_Frigo
04/03/2022 04:50:56
I'm gonna explain it further in about 30mins... Because of breakfast
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Mario_Frigo
04/03/2022 04:51:01
:D
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Mario_Frigo
04/03/2022 05:39:28
Basicaly it should make something like this:
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Mario_Frigo
04/03/2022 05:39:41
https://cdn.discordapp.c…20403_113759.jpg
IMG_20220403_113759.jpg
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Math_Helper
04/03/2022 05:41:04
why to 100 when between 160 and -160 there are 40 degrees?
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Mario_Frigo
04/03/2022 05:45:39
Oh yes forgot to mention but i have to be within 0 and 100... So I would basically multiply the value with 1.25
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Math_Helper
04/03/2022 05:47:10
could you also specify the input?
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Math_Helper
04/03/2022 05:47:20
like you give that you move from -160 to 160?
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Mario_Frigo
04/03/2022 05:53:07
I get this values from a gyro (electrical project)
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Mario_Frigo
04/03/2022 05:53:57
So if i made a 180° spin the Area would change to -40° to 40°
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Mario_Frigo
8816
Mario_Frigo
false
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Mario_Frigo
04/03/2022 05:54:18
But it have to work from all angles
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help-10
6f7c073379ab48cba12fe7b863f29961
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Mario_Frigo
04/03/2022 06:24:27
https://cdn.discordapp.c…20403_122410.jpg
IMG_20220403_122410.jpg
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555,757,692,069,740,540
Mario_Frigo
04/03/2022 06:24:47
Simplyfied it looks like this
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help-10
6f7c073379ab48cba12fe7b863f29961
555,757,692,069,740,540
Mario_Frigo
04/03/2022 06:25:50
That it ignores the blue line and only use the red and pink one
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help-10
2215675240034604b40c45fbfc4a38a7
449,833,323,574,067,200
Ñøïr
04/03/2022 08:37:50
Hello, how to inverse f(x) = x^3+x^2-1
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help-10
2215675240034604b40c45fbfc4a38a7
220,517,274,845,577,200
ramonov
04/03/2022 08:39:57
there's no nice way to do it
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help-10
2215675240034604b40c45fbfc4a38a7
220,517,274,845,577,200
ramonov
04/03/2022 08:40:11
other than heavy algebra bashing
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help-10
2215675240034604b40c45fbfc4a38a7
449,833,323,574,067,200
Ñøïr
04/03/2022 08:40:22
I tried to to factorize it as (x-3)*(x^2+1/3)-x/3 but it only produced more x elements instead of reducing to one
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help-10
2215675240034604b40c45fbfc4a38a7
220,517,274,845,577,200
ramonov
04/03/2022 08:41:04
what's the original problem?
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help-10
2215675240034604b40c45fbfc4a38a7
449,833,323,574,067,200
Ñøïr
04/03/2022 08:41:12
Actually I need to calculate derivative of inverse of that for x=-1
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help-10
2215675240034604b40c45fbfc4a38a7
220,517,274,845,577,200
ramonov
04/03/2022 08:41:23
i suspected that finding the inverse isn't the original problem
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help-10
2215675240034604b40c45fbfc4a38a7
220,517,274,845,577,200
ramonov
04/03/2022 08:41:36
https://xyproblem.info
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help-10
2215675240034604b40c45fbfc4a38a7
220,517,274,845,577,200
ramonov
04/03/2022 08:42:28
consider looking up stuff on the derivative of inverses
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help-10
2215675240034604b40c45fbfc4a38a7
220,517,274,845,577,200
ramonov
04/03/2022 08:42:50
and you should be able to find f^-1(1) by inspection without having to explicitly find f^-1(x)
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help-10
2215675240034604b40c45fbfc4a38a7
449,833,323,574,067,200
Ñøïr
04/03/2022 08:44:29
Yea, and as I have been teached I ought to find it through (f^-1(x))' = 1/f'(f^-1(x))
1
0
555,757,692,069,740,540
Mario_Frigo
8816
Mario_Frigo
false
1,656
help-10
2215675240034604b40c45fbfc4a38a7
220,517,274,845,577,200
ramonov
04/03/2022 08:46:06
poor placement of the ' on the lhs
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help-10
2215675240034604b40c45fbfc4a38a7
220,517,274,845,577,200
ramonov
04/03/2022 08:46:30
$(f^{-1})'(x) = \frac{1}{f'(f^{-1}(x))}$
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help-10
2215675240034604b40c45fbfc4a38a7
510,789,298,321,096,700
TeXit
04/03/2022 08:46:42
**ℝamonov**
https://cdn.discordapp.c…274845577216.png
220517274845577216.png
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help-10
2215675240034604b40c45fbfc4a38a7
220,517,274,845,577,200
ramonov
04/03/2022 08:47:15
and you want $$(f^{-1})'(-1) = \frac{1}{f'(f^{-1}(-1))}$$
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help-10
2215675240034604b40c45fbfc4a38a7
449,833,323,574,067,200
Ñøïr
04/03/2022 08:47:38
For x=-1
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help-10
2215675240034604b40c45fbfc4a38a7
449,833,323,574,067,200
Ñøïr
04/03/2022 08:47:41
Not 1
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help-10
2215675240034604b40c45fbfc4a38a7
510,789,298,321,096,700
TeXit
04/03/2022 08:47:49
**ℝamonov**
https://cdn.discordapp.c…274845577216.png
220517274845577216.png
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help-10
2215675240034604b40c45fbfc4a38a7
220,517,274,845,577,200
ramonov
04/03/2022 08:47:50
typo, but same idea
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help-10
2215675240034604b40c45fbfc4a38a7
449,833,323,574,067,200
Ñøïr
04/03/2022 08:48:05
That's right
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