How to use DeleteDuplicates or DeleteDuplicatesBy to delete duplicates inside list if I want to treat non-identical numbers, say $1$ and $2$ as identical?
I would define list of rules for identical numbers this way:
identicalrules={{1,2},{3,4},{5,7},{6,8}} Meaning that I want to treat $1$ and $2$ as identical, $3$ and $4$ as identical, $5$ and $7$ as identical and $6$ and $8$ as identical.
Then I want to delete duplicates of this list:
li={{1,2,3},{3,5,8},{4,7,6},{2,1,3}} Output should be:
{{1,2,3},{3,5,8}} because according to my rules {2,1,3} is duplicate of {1,2,3} and {4,7,6} is duplicate of {3,5,8}.
I would like the code to be something like this:
DeleteDuplicates[li,identicalrules] or
DeleteDuplicatesBy[li,identicalrules] I also tried a simple example where $1$ and $2$ should be treated as identical:
DeleteDuplicatesBy[{1, 2, 3, 4, 5, 6, 7, 8, 9}, # == 1 \[Or] # == 2 &] But the output was:
{1, 3} Instead of:
{1,3,4,5,6,7,8,9} which I wanted to be like it.
Attention: While I want to treat $1$ and $2$ as identical it does not mean I accept replacing $1$ by $2$ or vice-versa.
