Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: split the sublists into parts according to some rules
Replies: 2   Last Post: Sep 4, 2012 5:46 AM

 Messages: [ Previous | Next ]
 Ray Koopman Posts: 3,383 Registered: 12/7/04
Re: split the sublists into parts according to some rules
Posted: Sep 3, 2012 3:00 AM

On Aug 31, 1:01 am, Joug Raw <joug...@gmail.com> wrote:
> Dear all,
>
> I have a long list which has many sublists inside,
>
> Thelonglist={{a,b,c,d,e},{x,y,z},{a1,a2,a3,a4},...}
>
> Each sublist has length > 1(no single element sublist exists) . And the
> lengths of the sublists are different and unknow in advanced. The length of
> some of the sublists are odd number, such as {a,b,c,d,e} and {x,y,z}. Some
> sublists have even number list length, like {a1,a2,a3,a4}.
>
> What I want to achieved is to split each sublist into two (or three, or
> more) parts. In the two parts case, if the length of original sublist is
> even number, the two new parts will have same length, e.g, {a1,a2,a3,a4}
> become {{a1,a2},{a3,a4}}. If the sublist has length in odd number,
> after splitting one of the two parts should have one more element than the
> other.
>
> That is,
> Input: Thelonglist={{a,b,c,d,e}, {x,y,z}, {a1,a2,a3,a4},...}
> Output: Newlist={{a,b,c}, {d,e}}, {{x,y}, {z}}, {{a1,a2}, {a3,a4}},...}
>
> Or the same idea for the three parts case,
> Input: Thelonglist={{a,b,c,d,e}, {x,y,z}, {a1,a2,a3,a4},...}
> Output: Newlist={{{a,b}, {c,d}, {e}}, {{x},{y},{z}}, {{a1}, {a2},
> {a3,a4}}, ...}
>
> For the case of 4 parts, the number 4 is larger than the length of some
> sublists and I will abandon those list with short length.
> Input: Thelonglist={{a,b,c,d,e}, {x,y,z}, {a1,a2,a3,a4},...}
> Output: Newlist={{{a}, {b}, {c}, {d,e}}, {{a1}, {a2}, {a3}, {a4}}, ...}
>
> Could there be a simple function to achieve this idea generally? Say, a
> function like *SplittoPart[**list_*, *partnumber_**]*, in which I just need
> to give the input list and the number of parts of sublists I want to have.
> Then it will do the job above. If the number of sublist is larger then the
> length of some sublists, the function just abandon those short list and do
> the split(or partition) work on the other lists with long enough length.
> Could some one help me on this?
>
> If that is too complicated, I would still be happy to see some one could
> give me a solution only for the case of splitting to two parts,
>
> Input: Thelonglist={{a,b,c,d,e}, {x,y,z}, {a1,a2,a3,a4},...}
> Output: Newlist={{a,b,c}, {d,e}}, {{x,y}, {z}}, {{a1,a2}, {a3,a4}},...}
>
> Thanks a lot for your kind help!

splitr[list_,r_] := subsplitr[#,r]&/@list/.{}->Sequence[]

subsplitr[sublist_,r_] := With[{n = Length@sublist}, If[n < r, {},
Take[sublist,#]& /@ (Transpose@{Most@#+1,Rest@#}&)[

longlist = {{a, b, c, d, e}, {x, y, z}, {a1, a2, a3, a4}};

splitr[longlist,2]

{{{a, b, c}, {d, e}}, {{x, y}, {z}}, {{a1, a2}, {a3, a4}}}

splitr[longlist,3]

{{{a, b}, {c, d}, {e}}, {{x}, {y}, {z}}, {{a1, a2}, {a3}, {a4}}}

splitr[longlist,4]

{{{a, b}, {c}, {d}, {e}}, {{a1}, {a2}, {a3}, {a4}}}

Date Subject Author
8/31/12 Dr.J
9/3/12 Ray Koopman
9/4/12 Ray Koopman