http://qs321.pair.com?node_id=11118315


in reply to Re^2: Divide a list of string into substrings (updated)
in thread Divide a list of string into substrings

I suspect there is no "good and fast" solution. This problem, to me, has the flavor of a permutation or "traveling salesman" problem, and is probably NP-hard (or one of the other NP classes).

So here's an attempt (with a cheat) that at least gets a solution in a sort of reasonable time for this problem.

#!/usr/bin/perl use strict; # https://perlmonks.org/?node_id=11118281 use warnings; my @list=("set abcde-efghi 12345", "set abcde-ijkl 12345", "clr abcde-efghi+123", "clr abcde-ijkl 12345"); #my @expected_substrings=("set","clr"," abcde-","efghi", # "ijkl"," 12345","+123"); #my $len=@expected_substrings*2; #$len+=length($_) foreach @expected_substrings; $_ = join "\n", @list; my $max = 3; ########################################### BIG CHEAT FOR + RUNTIME sub score { 2 * @_ + length join '', @_; } my $best = score( @list ); try( $_ ); print "\n"; sub try { (local $_, my @sofar) = @_; if( !/[ -~]/ ) { my $score = score @sofar; if( $score < $best ) { print "\n"; use Data::Dump 'dd'; dd $score, @sofar; $best = $score; } return; } score(@sofar) >= $best and return; for my $n ( reverse 0 .. $#list ) { my %d; /([ -~]{3,})(?:.*?\1){$n}(?{ $d{$1}++ })(*FAIL)/s; my @d = sort { length $b <=> length $a } sort keys %d; @d > $max and $#d = $max - 1; for my $string ( @d ) { try( s/\Q$string\E/\t/gr, @sofar, $string ); } } }

Outputs:

(46, " abcde-", " 12345", "efghi", "ijkl", "clr", "set", "+123")

where the "46" is the score and the rest are the substrings. As it finds better scores, it will print them, but so far always seems to find a best solution first.