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help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 03:59:12
It looks just like the IVT here
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help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 03:59:56
alright this is what i dont understand
1
0
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help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 03:59:59
why are you assuming this
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 04:00:35
Well, we definitely have f(0)≥0
0
1
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:00:39
Yep
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 04:00:59
It was just broken into two cases f(0)=0 or f(0)>0
0
1
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:01:12
ahh
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:01:59
the goal here is
1
0
null
null
null
null
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1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:02:12
f(x) - x < 0 < f(x) - x right?
1
0
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null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:02:16
sorry
1
0
null
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null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:02:23
f(0) - 0 < 0 < f(1) - 1
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 04:02:45
Well, yes just the other way around
0
1
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 04:03:01
f(0)-0>0>f(1)-1
0
1
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:03:11
so youre saying ignoring the cases where f(0) = 0 and f(1) = 1
1
0
null
null
null
null
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1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:03:17
we have that^^
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:03:24
Now i dont fully understand why we ignore those cases
1
0
null
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null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 04:03:44
Well, we did address those cases so it's not exactly ignoring
0
1
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null
null
null
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1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:03:51
by adressing do you mean
1
0
246,174,820,088,152,060
99muppets
2149
99muppets
false
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help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:04:10
that there is automatically f(c) = c from those cases?
1
0
null
null
null
null
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1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 04:04:20
Yes!
0
1
null
null
null
null
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1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:04:39
hmm
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:06:08
so like f(1) <= 1 and f(0) >= 0
1
0
null
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null
null
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help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:06:47
ahh i understand that there is a f(c) = c from the cases where f(1) = 1 and f(0) = 0
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0
246,174,820,088,152,060
99muppets
2149
99muppets
false
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help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:06:53
but i dont understand the function of the exclusion
1
0
691,679,326,164,222,100
Euclid31415
9927
Euclid31415
false
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:06:57
or how you can just freely do it
1
0
null
null
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1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 04:07:58
By definition, a ≤ b means a < b *or* a=b
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1
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null
null
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help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:08:07
yep
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 04:08:13
So it naturally breaks into cases
0
1
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null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:08:35
omg wait okay okay okay
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:08:40
one sec lemme try and write this out
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:08:57
Case 1: f(1) = 1 or f(0) = 0
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 04:08:58
In one case we address f(0)=0 and in other we can take f(0)>0 with worrying about f(0)=0
0
1
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:09:06
we automatically have f(c) = c if this is the case
1
0
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null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:09:08
the next case
1
0
246,174,820,088,152,060
99muppets
2149
99muppets
false
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:09:19
f(1) < 1 and f(0) > 0
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:09:22
implies
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:09:31
f(1) - 1 < 0 and f(0) - 0 > 0
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:09:34
which omplies
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:09:43
f(0) - 0 > 0 < f(1) - 1
1
0
246,174,820,088,152,060
99muppets
2149
99muppets
false
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:10:05
which now for the function f(x) - x
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 04:10:19
f(0) - 0 > 0 > f(1) - 1
0
1
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:10:43
implies that there is some c such that f(c) - c = 0 by IVT
1
0
246,174,820,088,152,060
99muppets
2149
99muppets
false
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:10:50
and therefore in this second case f(c) = c?
1
0
null
null
null
null
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1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:10:52
is that it
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 04:11:00
Yep you got it!
0
1
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null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:11:04
THANK YOU SO MUCH
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:11:07
you are the best
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:11:13
im really sorry i took so long
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 04:11:35
Glad I could help
0
1
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
691,679,326,164,222,100
Euclid31415
04/10/2022 04:13:20
Also, saying c in [0,1] is important since that's where f(x)-x operates
0
1
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:21:55
ttytytytytytytytyytytytytytytytytytytytytyytyyt\
1
0
null
null
null
null
null
1,799
help-10
8b8e0a45d651480d9aad0bb2f5b799b3
246,174,820,088,152,060
99muppets
04/10/2022 04:36:56
.close
1
0
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
246,174,820,088,152,060
99muppets
04/10/2022 04:36:57
!close
1
0
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:29:13
can someone check if my answer is correct?
https://cdn.discordapp.c…7302/unknown.png
unknown.png
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:29:19
https://cdn.discordapp.c…832/IMG_5207.jpg
IMG_5207.jpg
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:29:29
im not confident with answer on the piecewise function
0
1
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null
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help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:30:19
What is 'they'
0
1
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null
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1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:30:43
where
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:30:44
Your description of the discontinuity is almost there
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:30:59
But in general I think you need to be more specific in what you mean
0
1
null
null
null
null
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1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:31:00
because the functions are not equal
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:31:09
is the piecewise correct though?
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:31:21
The function is not correct by the way
0
1
246,174,820,088,152,060
99muppets
2149
99muppets
false
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:31:26
ohh
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:31:31
how can i fix it
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:31:41
What is the charge for someone who parks 4.4 hours?
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:31:55
Your function does not correctly specify that
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:32:17
Also, the charge does not linearly increase (for any part of its domain) like how your function is currently being defined
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:32:28
So first, I'd think about how to define the function
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:33:12
Im lost on how to add 6 dollars additionally after half an hour
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:33:36
Are you aware of $\mathbb{N}$
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1
246,174,820,088,152,060
99muppets
2149
99muppets
false
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
510,789,298,321,096,700
TeXit
04/10/2022 06:33:38
**pepper**
https://cdn.discordapp.c…822306156544.png
832077822306156544.png
0
1
246,174,820,088,152,060
99muppets
2149
99muppets
false
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:33:50
no i wasnt taught of that :(
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:34:29
You also need a floor/ceiling function
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:34:39
But first let's check your intuition
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1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:34:48
ik the floor and ceiling onee
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:35:00
I park for 25 minutes - what is the charge? 45 minutes - ? 70 minutes - ? 100 minutes - ? 500 minutes - ?
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:35:22
Ah good, you'll need it
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:35:28
Try these values
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:35:37
ok hold on
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:36:09
idk how to subtract 5 mins from the 6 dollars
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:36:38
It's not 'subtract 5 minutes'
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:36:44
25 minutes is 6 dollars
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:36:49
45 minutes is 12 dollars
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:36:54
70 minutes is 18 dollars
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:37:04
isnt it 30 mins 6 dollars
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:37:10
You need to pay 6 dollars for every multiple of 30 broken
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:37:11
no
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
832,077,822,306,156,500
pepper
04/10/2022 06:37:15
Read the question
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:37:28
or part
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:37:32
okok i did not see that
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:37:40
let me try to make a function
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
183,668,144,404,037,630
Ann
04/10/2022 06:39:10
may i suggest a slightly different way of looking at this pricing scheme
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:39:18
yes plss
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
183,668,144,404,037,630
Ann
04/10/2022 06:39:34
you pay $6 for each half hour of parking time, _rounded up to the nearest half-hour multiple_.
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:40:01
6 ; 0 < x < 1 6 + 6x ; x > 1 im lost
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:40:18
ohh
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:40:20
hmm
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
605,972,482,284,978,200
kat.
04/10/2022 06:40:46
i dont get it :(
0
1
null
null
null
null
null
1,800
help-10
369c5e0197634eb58022fd53b5caf61e
183,668,144,404,037,630
Ann
04/10/2022 06:41:41
is that supposed to mean that you don't get what i am saying at all? or do you not get why my phrasing refers to the same thing as the problem? or do you not get how to translate my phrasing into a formula?
0
1
null
null
null
null
null