Re: Sort a List, in a List of Lists of Lists

• To: mathgroup at smc.vnet.net
• Subject: [mg113816] Re: Sort a List, in a List of Lists of Lists
• From: Bill Rowe <readnews at sbcglobal.net>
• Date: Sun, 14 Nov 2010 06:09:01 -0500 (EST)

```On 11/13/10 at 12:59 AM, leigh.pascoe at inserm.fr wrote:

>I have a lsit of Lists of Lists:

>{{{1,2},{2,1},{1,1}},{{1,1},{1,1},{1,2}},{{2,1},{2,2},{1,2}},{{2,2},
>{1,2},{2,2}},{{1,1},{2,1},{1,2}},{{1,2},{2, 2},{2,2}}}

>I would like to sort the elements in the lowest level of brackets to
>give

>{{{1, 2}, {1, 2}, {1, 1}}, {{1, 1}, {1, 1}, {1, 2}}, {{1, 2}, {2,
>2}, {1, 2}}, {{2, 2}, {1, 2}, {2, 2}}, {{1, 1}, {1, 2}, {1, 2}},
>{{1, 2}, {2, 2}, {2, 2}}}

>i.e retaining the same structure with the paired elements in the
>original order. I can't seem to get the syntax right to do this
>apart from the obvious

A simple way to accomplish this is to use Map with a level
specification, that is

In[2]:= Map[Sort, list, {2}]

Out[2]= {{{1, 2}, {1, 2}, {1, 1}}, {{1, 1}, {1, 1}, {1, 2}},
{{1, 2}, {2, 2}, {1, 2}}, {{2, 2}, {1, 2}, {2, 2}},
{{1, 1}, {1, 2}, {1, 2}}, {{1, 2}, {2, 2}, {2, 2}}}

```

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