Beefy Boxes and Bandwidth Generously Provided by pair Networks
go ahead... be a heretic

comment on

( #3333=superdoc: print w/replies, xml ) Need Help??
The problem smells badly to being an NP-complete problem. And those are believed that they cannot be done efficiently. Hence, we might as well backtrack. And which mechanism in Perl is good at backtracking? Right, regular expressions.

Therefore, I present a solution that will use a regular expression to do the hard work. It will report the minimum height that is needed. Calculating the actual partition is left as an exercise for the reader.


#!/usr/bin/perl use strict; use warnings 'all'; sub partition ($$); my $columns = 4; my @sizes = qw /10 15 25 30 10 13/; sub partition ($$) { my ($b, $h) = @_; return [(0) x $h] unless $b; return [$b] if $h < 2; map {my $__ = $_; map {[$__ => @$_]} partition $b - $__, $h - 1} 0 + .. $b; } my @r = partition @sizes, $columns; my @regex; foreach my $r (@r) { my $c = 0; push @regex => join ":" => map { $c += my $__ = $_; join ("" => map {"-" x $_} @sizes [$c - $__ .. $c - 1]) . "-*" +} @$r; } my $regex = join "|" => map {"(?:$_)"} @regex; my $try = 1; { exit !print "Minimum required height: $try\n" if join (":" => map {"-" x $try} 1 .. $columns) =~ /$regex/; $try ++; redo; }

In reply to Re: Puzzle: need a more general algorithm by Abigail-II
in thread Puzzle: need a more general algorithm by Ovid

Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post; it's "PerlMonks-approved HTML":

  • Are you posting in the right place? Check out Where do I post X? to know for sure.
  • Posts may use any of the Perl Monks Approved HTML tags. Currently these include the following:
    <code> <a> <b> <big> <blockquote> <br /> <dd> <dl> <dt> <em> <font> <h1> <h2> <h3> <h4> <h5> <h6> <hr /> <i> <li> <nbsp> <ol> <p> <small> <strike> <strong> <sub> <sup> <table> <td> <th> <tr> <tt> <u> <ul>
  • Snippets of code should be wrapped in <code> tags not <pre> tags. In fact, <pre> tags should generally be avoided. If they must be used, extreme care should be taken to ensure that their contents do not have long lines (<70 chars), in order to prevent horizontal scrolling (and possible janitor intervention).
  • Want more info? How to link or How to display code and escape characters are good places to start.
Log In?

What's my password?
Create A New User
Domain Nodelet?
and the web crawler heard nothing...

How do I use this? | Other CB clients
Other Users?
Others lurking in the Monastery: (1)
As of 2023-03-22 19:21 GMT
Find Nodes?
    Voting Booth?
    Which type of climate do you prefer to live in?

    Results (60 votes). Check out past polls.