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Re: identical rows in tables
*To*: mathgroup at smc.vnet.net
*Subject*: [mg97604] Re: [mg97583] identical rows in tables
*From*: Bob Hanlon <hanlonr at cox.net>
*Date*: Tue, 17 Mar 2009 04:56:02 -0500 (EST)
*Reply-to*: hanlonr at cox.net
data = {{1, 2, 3, 4, 5, 6, 7, 8},
{1, 4, 6, 2, 8, 3, 7, 5},
{1, 4, 2, 6, 3, 8, 5, 7},
{1, 3, 2, 5, 4, 7, 6, 8},
{1, 3, 5, 2, 7, 4, 8, 6},
{1, 8, 7, 6, 5, 4, 3, 2},
{1, 8, 6, 7, 4, 5, 2, 3},
{1, 3, 2, 5, 4, 7, 6, 8},
{1, 3, 5, 2, 7, 4, 8, 6}};
color[x_List] := Style[#, Red] & /@ x
n = -1; If[MemberQ[Take[data, n++], #],
color[#], #] & /@ data
data2 = FromDigits /@ data
{12345678,14628375,14263857,13254768,13527486,18765432,18674523,13254768,13527486}
n = 0; If[MemberQ[Take[data2, (n++) - 1], #],
Style[#, Red], #] & /@ data2
data == IntegerDigits /@ data2
True
str = "abc";
StringJoin /@ Permutations@Characters@str
{abc,acb,bac,bca,cab,cba}
Bob Hanlon
---- "King wrote:
=============
I have a table of values
e.g.{{1, 2, 3, 4, 5, 6, 7, 8}, {1, 4, 6, 2, 8, 3, 7, 5}, {1, 4, 2, 6, 3,
8, 5, 7}, {1, 3, 2, 5, 4, 7, 6, 8}, {1, 3, 5, 2, 7, 4, 8, 6}, {1, 2,
4, 3, 6, 5, 8, 7}, {1, 2, 3, 4, 5, 6, 7, 8}}
and want to check if any rows are identical (so there are none in the above=
- I can remove last or first row which are supposed to be the same).
But in the following {{1, 2, 3, 4, 5, 6, 7, 8}, {1, 4, 6, 2, 8, 3, 7, 5}, {=
1, 4, 2, 6, 3,
8, 5, 7}, {1, 3, 2, 5, 4, 7, 6, 8}, {1, 3, 5, 2, 7, 4, 8, 6}, {1, 8,
7, 6, 5, 4, 3, 2}, {1, 8, 6, 7, 4, 5, 2, 3}, {1, 3, 2, 5, 4, 7, 6,
8}, {1, 3, 5, 2, 7, 4, 8, 6},....}
there is a pair {1, 3, 2, 5, 4, 7, 6,
8}, {1, 3, 5, 2, 7, 4, 8, 6} which are the same.
In an ideal world when I print out (in say TableForm) the repeated rows ca=
n be printed in red (or some specified colour)
These rows are permutations if that makes any difference. The tables can be=
of any size (but always permutations of n numbers)
as a subsidiary question is there an easy way to convert the tables into nu=
mbers (or strings) eg
{12345678,14628375,14263857 etc}
Alternatively is there an easy way to perform permutations on strings of ch=
aracters?
Many thanks for your help to the multiple questions
ps I am using Mathematica 6.03
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