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Matrix
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Matrix
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luby
I want to go back to Philmont!!


Calc Guru


Joined: 23 Apr 2006
Posts: 1477
Posted: 27 Jan 2008 08:08:11 pm    Post subject:
Here is a teaser. What is the smallest way you can get a matrix that exists in ans only to contain all 1 number?

For example, you run it and it returns a matrix like [[1,1,1,1][1,1,1,1]]

The matrix must be a 12*8 and you can't use any other matricies in order to make your matrix.

52 bytes is the bar. GO!

Last edited by Guest on 27 Jan 2008 08:20:53 pm; edited 1 time in total
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JoostinOnline


Active Member


Joined: 22 Aug 2007
Posts: 559
Posted: 27 Jan 2008 08:13:30 pm    Post subject:
I am not sure if I understand what you are saying. If I do, then this is not a challenge. Here is my answer:
Quote:
:[[1,1,1,1][1,1,1,1]
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nitacku


Advanced Member


Joined: 23 Aug 2005
Posts: 408
Posted: 27 Jan 2008 08:14:48 pm    Post subject:
I suppose I should clarify that the matrix should be {12,8
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Weregoose
Authentic INTJ


Super Elite (Last Title)


Joined: 25 Nov 2004
Posts: 3976
Posted: 27 Jan 2008 08:16:39 pm    Post subject:
I'm confused.

Quote:
{12,8→dim([A]
Fill(1,[A]
[A]
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luby
I want to go back to Philmont!!


Calc Guru


Joined: 23 Apr 2006
Posts: 1477
Posted: 27 Jan 2008 08:20:12 pm    Post subject:
oops. Forgot to mention. You can't use any other Matricies to do your dirty work
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Weregoose
Authentic INTJ


Super Elite (Last Title)


Joined: 25 Nov 2004
Posts: 3976
Posted: 27 Jan 2008 08:21:30 pm    Post subject:
Does it still have to be 12×8?

Last edited by Guest on 27 Jan 2008 08:21:39 pm; edited 1 time in total
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nitacku


Advanced Member


Joined: 23 Aug 2005
Posts: 408
Posted: 27 Jan 2008 08:23:44 pm    Post subject:
the solution must be capable of producing a matrix of 12x8
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Weregoose
Authentic INTJ


Super Elite (Last Title)


Joined: 25 Nov 2004
Posts: 3976
Posted: 27 Jan 2008 08:33:38 pm    Post subject:
36 bytes (highlight below):

cumSum(identity(4
Ans+Ans[font="arial"]т-identity(4
augment(Ans,augment(Ans,Ans
augment(Ans[font="arial"]т,Ans[font="arial"]т

(Highlight to here or the last transpose won't show up.)

[EDIT] – Saved 3 bytes.

Last edited by Guest on 27 Jan 2008 08:52:06 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
Posted: 27 Jan 2008 08:55:42 pm    Post subject:
Darn! Just as I get to the 39 bytes, you optimize again.

My solution will get prizes for being ugly, though.

Edit: 26 bytes and as ugly as promised:

0→rand
-int(-fPart(cumSum(abs(πrandM(12,8

You can remove the first line, but then there's a 35% chance it won't work.

Last edited by Guest on 27 Jan 2008 09:01:59 pm; edited 1 time in total
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nitacku


Advanced Member


Joined: 23 Aug 2005
Posts: 408
Posted: 27 Jan 2008 09:06:47 pm    Post subject:
Here's my solution at 32 bytes:

Quote:
[[1,1,1
For(X,0,4
augment(Ansт,Ansт
End
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DarkerLine
ceci n'est pas une |


Super Elite (Last Title)


Joined: 04 Nov 2003
Posts: 8328
Posted: 27 Jan 2008 09:11:57 pm    Post subject:
Optimized to save another byte, down to 25 (yech, this is truly horrible code):

37→rand
-int(-fPart(abs(πrandM(12,8

Last edited by Guest on 27 Jan 2008 09:13:41 pm; edited 1 time in total
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luby
I want to go back to Philmont!!


Calc Guru


Joined: 23 Apr 2006
Posts: 1477
Posted: 27 Jan 2008 09:13:32 pm    Post subject:
I must point out here that so far, nitacku is winning for speed, but Darkerline is winning in size.
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DarkerLine
ceci n'est pas une |


Super Elite (Last Title)


Joined: 04 Nov 2003
Posts: 8328
Posted: 27 Jan 2008 09:14:49 pm    Post subject:
Yes, my version isn't going to be winning speed contests anytime soon. Isn't just typing out the 12x8 matrix the fastest way, though?
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calc84maniac


Elite


Joined: 22 Jan 2007
Posts: 770
Posted: 27 Jan 2008 09:15:53 pm    Post subject:
Alternate challenge: Make a routine for an any-case scenario.
Inputs: Number of rows in M, Number of columns in N.

I have 50 bytes.

Quote:
:"[
:For(X,1,M
:Ans+"[1
:For(Y,2,N
:Ans+",1
:End
:Ans+"]
:End
:expr(Ans


Last edited by Guest on 27 Jan 2008 09:19:01 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
Posted: 27 Jan 2008 09:27:17 pm    Post subject:
Mine works for any case with less than 106 elements, if you replace 12 and 8 by M and N. Still looking for a random seed that will work for more elements.

Edit: 427 is good for 120 elements.

Last edited by Guest on 27 Jan 2008 09:28:59 pm; edited 1 time in total
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Weregoose
Authentic INTJ


Super Elite (Last Title)


Joined: 25 Nov 2004
Posts: 3976
Posted: 27 Jan 2008 09:27:49 pm    Post subject:
luby wrote:
I must point out here that so far, nitacku is winning for speed, but Darkerline is winning in size.
My routine is twice as fast as nitacku's...! Only the display at the end is what makes it appear to be slow.

Last edited by Guest on 27 Jan 2008 09:30:14 pm; edited 1 time in total
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luby
I want to go back to Philmont!!


Calc Guru


Joined: 23 Apr 2006
Posts: 1477
Posted: 27 Jan 2008 10:23:55 pm    Post subject:
yes, his is smaller, but yours is faster.
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