Re; Reordering lists?!

• To: mathgroup at smc.vnet.net
• Subject: [mg4525] Re; Reordering lists?!
• From: abindon at gpu.srv.ualberta.ca (Andre and Alain)
• Date: Wed, 7 Aug 1996 04:17:34 -0400
• Sender: owner-wri-mathgroup at wolfram.com

```        Hey! I have a list of Numbers, 1 to 4, and wish to rescale them so
that 1 replkaces 4 and 3 replaces 2 and 2 replaces 3 etc. I made a little
code to do this on an element per element basis and it doesn't seem to do
it! Could someone let me know what I'm doing wrong or whether it's a Mma
problem? Thanks

<The original list>

gsub=Flatten[ColumnTake[gcsq,{4}]]
{2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 3, 1, 1, 2, 1, 2, 1, 2, 1, 1,
1, 1, 2, 1, 2, 1, 3, 1,
2, 2, 1, 2, 1, 2, 3, 2, 4, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2,
3, 2, 2, 2, 1, 2, 1,
2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1}

<Frequencies of the list>

Frequencies[gsub]
{{42, 1}, {34, 2}, {4, 3}, {1, 4}}

<The code that replaces them>

Do[If[gsub[[n]]==1,gsub[[n]]=4]||
If[gsub[[n]]==2,gsub[[n]]=3]||
If[gsub[[n]]==3,gsub[[n]]=2]||
If[gsub[[n]]==4,gsub[[n]]=1],
{n,1,Length[gsub]}]

<It doesn't work properly?!>

Frequencies[gsub]
{{43, 1}, {38, 2}}

Of course the new list frequencies should be exactly opposite than the first