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<TITLE>The Answer Gang 80: How to optimize space usage for multiple files on multiple CDs</TITLE>
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<H3 align="left"><img src="../../gx/dennis/qbubble.gif" 
	height="50" width="60" alt="(?) " border="0"
	>How to optimize space usage for multiple files on multiple CDs</H3>


<p><strong>From Michiel van Leening 
</strong></p> 

<p align="right"><strong>Answered By  Thomas Adam (The LG Weekend Mechanic), Ben Okopnik, Karl-Heinz Herrmann
</strong></p>

<blockquote><em><font color="#000066">With our kind thanks to Michiel for granting publication permission 
<IMG SRC="../../gx/dennis/smily.gif" ALT=":)" 
		height="24" width="20" align="middle">
 -- Heather</font></em></blockquote>
<P><STRONG>
Hi Gang,
</STRONG></P>
<P><STRONG>
I've got a bunch of files which will roughly fill up 12 CDR's. My question
is, how can i best optimize the space used for these files, so as to use as
little CD's as possible?
</STRONG></P>
<blockQuote>
<IMG SRC="../../gx/dennis/bbub.gif" ALT="(!)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> [Thomas] 
Assumming that you are not fussed as to which files
appear on which CDR, and assuming that these files
reside in a single common directory, then you could
write a script that will take the largest files.
</blockQuote>
<blockQuote>
<IMG SRC="../../gx/dennis/bbub.gif" ALT="(!)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> [Ben] 
Actually, that's an NP-Complete problem, i.e. you can't get an actual
solution before the Universe ends. 
<IMG SRC="../../gx/dennis/smily.gif" ALT="&lt;grin&gt;" 
		height="24" width="20" align="middle"> Sad but true. However, there
are a number of "close enough" approximations you can do. I've never
heard of anyone scripting this kind of a thing, although I would imagine
every CS student out there has played with the concept.
</blockQuote>
<blockQuote>
Here's a reasonable one: sort your files. Grab the largest one, subtract
that from MAX_SIZE; now, find the largest file that will fit in the
remaining space. Iterate until the remaining space is smaller than your
smallest file. Repeat the above process for every one of your CDs.
You're done - and in linear time, too. 
<IMG SRC="../../gx/dennis/smily.gif" ALT=":)" 
		height="24" width="20" align="middle">
</blockQuote>
<P><STRONG>
<IMG SRC="../../gx/dennis/qbub.gif" ALT="(?)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> 
I've tried just looping through all the files and as long as the sum of the
already seen files stays below the CD size limit, the file is added to a list.
</STRONG></P>
<blockQuote>
<IMG SRC="../../gx/dennis/bbub.gif" ALT="(!)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> [Ben] 
Erm... a 20MB file followed by a 631MB file, and you've got a CD with
20MB on it. Not a reasonable compromise. Even if you sort them first,
326+325, and you've wasted half a CD.
</blockQuote>
<P><STRONG>
<IMG SRC="../../gx/dennis/qbub.gif" ALT="(?)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> 
As soon as a file goes above the size limit, it starts a new list with
filenames. These list are then used to burn the CD's with either mkisofs or
Gcombust.
</STRONG></P>
<blockQuote>
<IMG SRC="../../gx/dennis/bbub.gif" ALT="(!)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> [Thomas] 
Is the limit 650 MB, in which case:
</blockQuote>
<p align="center">See attached <tt><a href="../misc/tag/fill-it-up.bash.txt">fill-it-up.bash.txt</a></tt></p>
<P><STRONG>
<IMG SRC="../../gx/dennis/qbub.gif" ALT="(?)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> 
I'd actually like a program to figure out the best spread of files over the
CD's (eg. CD1 has files 3,5,8 and CD2 has files 1,2,4 and CD3 has files 6,7,9)
so as to minimize wasted space. What i've programmed myself has the
disadvantage that if the next file in line is big enough to cross the size
limit, it is put on the next CD, thereby wasting space on the current CD.
</STRONG></P>
<blockQuote>
<IMG SRC="../../gx/dennis/bbub.gif" ALT="(!)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> [Thomas] 
I'll work on this at home 
<IMG SRC="../../gx/dennis/smily.gif" ALT=":-)" 
		height="24" width="20" align="middle"> Might even put it in my
LWM article next month 
<IMG SRC="../../gx/dennis/smily.gif" ALT=":-)" 
		height="24" width="20" align="middle">
</blockQuote>
<P><STRONG>
<IMG SRC="../../gx/dennis/qbub.gif" ALT="(?)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> 
Now i could go and program such a thing, find out afterwards that something
like this exists and tear my hairs out in frustration. So, does a program
exist that can do this? Maybe someone has a script lying around. Ofcourse
intensive Googling for a week hasn't turned up anything.
</STRONG></P>
<P><STRONG>
Thanks for any input on the matter.
</STRONG></P>
<blockQuote>
<IMG SRC="../../gx/dennis/bbub.gif" ALT="(!)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> [Ben] 
As I've mentioned, I haven't heard of anything (although any CompSci
department has seen thousands of attempts), but it shouldn't be all
<em>that</em> hard to script an approximation. The algorithm I suggested would
only take a few lines of Perl, and even a shell script wouldn't be all
that bad.
</blockQuote>
<blockQuote>
<IMG SRC="../../gx/dennis/bbub.gif" ALT="(!)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> [Thomas] 
Hey Ben....you and I could work on this one 
<IMG SRC="../../gx/dennis/smily.gif" ALT=":-)" 
		height="24" width="20" align="middle">
Whadaya reckon -- I'm sticking to bash !!
</blockQuote>
<blockQuote>
<IMG SRC="../../gx/dennis/bbub.gif" ALT="(!)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> [Ben] 
&lt;dryly&gt; The actual scripting is left as an excercise to the student.
Gotta let folks do <em> _something</em> on their own, dude! 
<IMG SRC="../../gx/dennis/smily.gif" ALT=":)" 
		height="24" width="20" align="middle">
</blockQuote>
<blockQuote>
Now, all I've got to do is figure out the purpose of your script,
above... what it does is obvious, <EM>why</EM> you'd care about the result
(if there <em> _was</em> any) isn't.
</blockQuote>
<blockQuote>
<IMG SRC="../../gx/dennis/bbub.gif" ALT="(!)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> [K.-H.] 
Actually there is already a script which served me quite nicely. It's
already tied in with cdrekord and mkisofs and seems to handle special files
correctly (i.e. uisng cpio or something to dump them).
</blockQuote>
<blockQuote>
see:
</blockQuote>
<blockQuote><BLOCKQuote>
<A HREF="http://www.joat.ca/software/cddump.html"
	>http://www.joat.ca/software/cddump.html</A>
</BLOCKQuote></blockQuote>
<P><STRONG>
<IMG SRC="../../gx/dennis/qbub.gif" ALT="(?)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> 
That's excatly what i was looking for. Thanks a lot.
</STRONG></P>
<blockQuote>
<IMG SRC="../../gx/dennis/bbub.gif" ALT="(!)"
	HEIGHT="28" WIDTH="50" BORDER="0"
	> [Ben] 
Cool; I figured somebody somewhere did it. Interestingly enough, he uses
pretty much the algorithm I suggested:
</blockQuote>

<blockquote><pre>    @todo = sort { ${$b}[2] &lt;=&gt; ${$a}[2] } @todo;

    ...

    foreach $file (@todo) {
        if ($thissize + ${$file}[2] &lt; $remaining) {
            $thissize += ${$file}[2];
            push(@{$thisdo[${$file}[0]]}, ${$file}[1]);
</pre></blockquote>
<blockQuote>
It's not a bad approximation; the only degenerate case is where you have
no-to-few small files and lots of large ( &gt; MAX_SIZE/2 ) ones. If you
have an average file spread, it works well.
</blockQuote>

<!-- end 7 -->
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<BR>Published in issue 80 of <I>Linux Gazette</I> July 2002</H5>
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