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Recursive Acronym
Advanced Member
Joined: 11 Dec 2006
Posts: 499
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 Posted: 14 Oct 2007 10:44:42 am Post subject: |
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It looks like we are in need of another teaser. This one is for TI-83 basic.
Create a program that asks for X, then displays:
(sin(x)+cos(x))^5
My size is 22+name.
Last edited by Guest on 14 Oct 2007 01:11:51 pm; edited 1 time in total |
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DarkerLine
ceci n'est pas une |
Super Elite (Last Title)
Joined: 04 Nov 2003
Posts: 8328
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| Posted: 14 Oct 2007 10:51:48 am Post subject: |
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19 bytes, 18 with an algorithm that only works for X≠2.
Last edited by Guest on 14 Oct 2007 10:55:19 am; edited 1 time in total |
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CyJackX
Newbie
Joined: 26 Aug 2007
Posts: 30
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| Posted: 14 Oct 2007 11:19:28 am Post subject: |
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:-/
I can only get 20, counting the name. |
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Recursive Acronym
Advanced Member
Joined: 11 Dec 2006
Posts: 499
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| Posted: 14 Oct 2007 01:14:50 pm Post subject: |
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| Once again, I screwed up. I changed the first post to the new challenge. By the way, what way your solution to the original challenge, Darkerline? I could only get 20. |
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JoostinOnline
Active Member
Joined: 22 Aug 2007
Posts: 559
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| Posted: 14 Oct 2007 01:23:50 pm Post subject: |
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| I can only get 22+name as well. |
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DarkerLine
ceci n'est pas une |
Super Elite (Last Title)
Joined: 04 Nov 2003
Posts: 8328
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| Posted: 14 Oct 2007 03:11:35 pm Post subject: |
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Recursive Acronym wrote: Once again, I screwed up. I changed the first post to the new challenge. By the way, what way your solution to the original challenge, Darkerline? I could only get 20.
[post="114423"]<{POST_SNAPBACK}>[/post] My better solution was Prompt X:e^(5ln(X-2.
But, no fair changing the calculation :-(
Anyway, the same idea applied here gives me a 21+name-byte program (that doesn't work when sin(x)=cos(x))
Last edited by Guest on 10 Sep 2010 04:54:52 am; edited 1 time in total |
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CyJackX
Newbie
Joined: 26 Aug 2007
Posts: 30
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| Posted: 14 Oct 2007 03:28:58 pm Post subject: |
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DarkerLine wrote: My better solution was Prompt X:e^(5ln(X-2.
[post="114427"]<{POST_SNAPBACK}>[/post]
Isn't that undefined for X<2? I don't think that concept works.
The best I've gotten for the new problem is 22 with the name.
Last edited by Guest on 10 Sep 2010 04:55:55 am; edited 1 time in total |
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DarkerLine
ceci n'est pas une |
Super Elite (Last Title)
Joined: 04 Nov 2003
Posts: 8328
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| Posted: 14 Oct 2007 03:41:23 pm Post subject: |
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When X<2, ln(X-2) is a complex number, but if you're not in Real number mode then the calculation still works out at the end (not only to something real, but also to the correct answer).
It's when X=2 that the real problem occurs - ln(0) is even more undefined. If you forget rigor for a moment and say that ln(0)=-∞ then the calculation works out because 5∞=∞, and e-∞=0. The calculator can't do this which is why this method doesn't work when the result should be 0.
It would be really cool if you could get an optimization based on the identity sin(x)+cos(x)=sin(x+π/4)√2. Unfortunately, I see no way to do this.
Last edited by Guest on 19 Jan 2008 11:58:57 am; edited 1 time in total |
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Recursive Acronym
Advanced Member
Joined: 11 Dec 2006
Posts: 499
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| Posted: 14 Oct 2007 04:01:10 pm Post subject: |
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This was my solution:
Solution wrote: Prompt X:.2[xth root](sin(X)+cos(X |
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Weregoose
Authentic INTJ
Super Elite (Last Title)
Joined: 25 Nov 2004
Posts: 3976
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| Posted: 14 Oct 2007 04:01:52 pm Post subject: |
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DarkerLine wrote: It would be really cool if you could get an optimization based on the identity sin(x)+cos(x)=sin(x+π/4)√2. Unfortunately, I see no way to do this. That was actually my garden path for the past half hour. I'm sure you also found .2×√ ?
[EDIT] – Crosspost. 
Last edited by Guest on 10 Sep 2010 04:54:22 am; edited 1 time in total |
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adriweb
Newbie
Joined: 28 Aug 2007
Posts: 22
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| Posted: 16 Oct 2007 06:00:16 am Post subject: |
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Arf, I had 22 bytes ...
GG Weregoose !  |
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Weregoose
Authentic INTJ
Super Elite (Last Title)
Joined: 25 Nov 2004
Posts: 3976
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| Posted: 16 Oct 2007 07:07:49 am Post subject: |
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adriweb wrote: GG Weregoose !
Nice site, by the way. If you want to advertise it, you can start a new topic at Community News.
Last edited by Guest on 16 Oct 2007 07:10:05 am; edited 1 time in total |
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JoostinOnline
Active Member
Joined: 22 Aug 2007
Posts: 559
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| Posted: 16 Oct 2007 04:50:05 pm Post subject: |
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Weregoose wrote: adriweb wrote: GG Weregoose !  |
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TI-Basic Brain Teasers => TI-BASIC
