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Re: Puzzle

  • To: mathgroup at smc.vnet.net
  • Subject: [mg2289] Re: [mg2258] Puzzle
  • From: castelln at uiuc.edu (Carol Castellon)
  • Date: Mon, 23 Oct 1995 12:40:21 -0400

>On Thu, 19 Oct 1995 01:32:26 -0400 Will Self wrote:
>Here's a nice puzzle.  Find the four numbers in the following sequence
>which total 100:  {6, 44, 30, 15, 24, 12, 33, 23, 18}.  It would seem that
>there might be a nice way to do this with Mathematica.  Any takers?

One of my students (17 yrs old) solved it this way:

Do[Do[Do[Do[
        If[list[[i]]+list[[j]]+list[[k]]+list[[l]]==100,
        Print[{list[[i]],list[[j]],list[[k]],list[[l]]}]],
        {i,j+1,9}],{j,k+1,9}],{k,l+1,9}],{l,1,9}]

Carol Castellon




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