Re: Extract values and multilpicities from list

• To: mathgroup at smc.vnet.net
• Subject: [mg64854] Re: [mg64849] Extract values and multilpicities from list
• From: gardyloo <gardyloo at mail.wsu.edu>
• Date: Mon, 6 Mar 2006 05:00:50 -0500 (EST)
• References: <200603050819.DAA09793@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```I assume that the algorithms would vary in timings both because of the
list length, and because of the multiplicities. If I produce a list of
only zeros, or just ones and twos, the algorithms may be much faster in
those cases than with, for example, a list of length 1000, containing
1000 different machine-precision reals.
Despite the difficulty of quantifying "shortest", here's a possibility:

With[{elems = lstIn // Union}, Transpose[{elems, Count[lstIn, #] & /@ elems}]]

Cheers!

C.O.

Dr. Wolfgang Hintze wrote:
> Given a list of integers which may repeat, e.g.
>
> lstIn = {2,3,4,4,2,1,1,5,4}
>
> provide a list of different values and their respective multiplicities,
> in the example,
>
> LstOut= {{1,2},{2,2},{3,1},{4,3},{5,1}}
>
> Who finds the shortest function doing this task in general?
>
> Thanks.
>
> Best regards,
> Wolfgang
>
>
>

```

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