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<h1>The International Obfuscated C Code Contest</h1>
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<h2>1992/albert - Most useful program</h2>
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<h3>factors multi-precision numbers with factors < MAX_LONG</h3>
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<a class="Left" href="../adrian/index.html">← 1992/adrian</a>
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<a class="Left" href="../index.html">↑ 1992 ↑</a>
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<a class="Right" href="https://github.com/ioccc-src/winner/blob/master/1992/albert/albert.c">C code</a>
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<a class="Right" href="https://github.com/ioccc-src/winner/blob/master/1992/albert/albert.orig.c">Original C</a>
|
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<a class="Right" href="https://validator.w3.org/nu/?doc=https%3A%2F%2Fwww.ioccc.org%2F1992%2Falbert%2Findex.html">✓</a>
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<h2 id="author">Author:</h2>
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<ul>
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<li>Name: <a href="../../authors.html#Albert_van_der_Horst">Albert van der Horst</a><br>
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Location: <a href="../../location.html#NL">NL</a> - <em>Kingdom of the Netherlands</em> (<em>Netherlands</em>)</li>
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<!-- BEFORE: 1st line of markdown file: 1992/albert/README.md -->
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<h2 id="to-build">To build:</h2>
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||
<pre><code> make all</code></pre>
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||
<p>An <a href="#alternate-code">alternate version</a> exists that fixes a bug.</p>
|
||
<h3 id="bugs-and-misfeatures">Bugs and (Mis)features:</h3>
|
||
<p>The current status of this entry is:</p>
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||
<blockquote>
|
||
<p><strong>STATUS: known bug - please help us fix</strong></p>
|
||
</blockquote>
|
||
<p>For more detailed information see <a href="../../bugs.html#1992_albert">1992/albert in bugs.html</a>.</p>
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<h2 id="to-use">To use:</h2>
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<pre><code> ./albert number</code></pre>
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<h2 id="try">Try:</h2>
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<pre><code> ./try.sh</code></pre>
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<h2 id="alternate-code">Alternate code:</h2>
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<p>An alternate version of this entry, <a href="https://github.com/ioccc-src/winner/blob/master/1992/albert/albert.alt.c">albert.alt.c</a>, is provided.
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||
Leo Broukhis, before he was an IOCCC judge, sent the IOCCC
|
||
judges this Email message:</p>
|
||
<blockquote>
|
||
<p>From: leo <em>at</em> zycad -dot- com (Leo Broukhis)<br>
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||
Date: Tue, 30 Jan 96 17:37:51 PST<br>
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||
To: judges <em>at</em> toad -dot- com<br>
|
||
Subject: IOCCC 1992 - a bug<br></p>
|
||
<p>Dear Judges,</p>
|
||
<p><code>albert.c</code> (even in its fixed form) still has a bug. Although I don’t
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||
remember the number that exposed the bug (afair, resulting in coredump)
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in <code>albert.orig.c</code> that has been fixed in <code>albert.c</code>,</p>
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||
<p>I’ve found a number exposing another bug: 10000000001 (that’s 9 0’s).
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Both albert and albert.orig loop without printing anything, although
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the first factor is 101 and is usually found in an instant.</p>
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||
</blockquote>
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||
<p>The <a href="https://github.com/ioccc-src/winner/blob/master/1992/albert/albert.alt.c">albert.alt.c</a> file is the fixed file, whereas the
|
||
<a href="https://github.com/ioccc-src/winner/blob/master/1992/albert/albert.c">albert.c</a> is the file before applying Leo Broukhis’ fix.</p>
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||
<h3 id="alternate-build">Alternate build:</h3>
|
||
<p>To compile this alternate version:</p>
|
||
<pre><code> make alt</code></pre>
|
||
<h3 id="alternate-use">Alternate use:</h3>
|
||
<p>Use <code>albert.alt</code> as you would <code>albert</code> above.</p>
|
||
<h3 id="alternate-try">Alternate try:</h3>
|
||
<pre><code> ./try.alt.sh</code></pre>
|
||
<h2 id="judges-remarks">Judges’ remarks:</h2>
|
||
<p>We were impressed with the speed at which it was able to factor
|
||
arbitrarily large numbers consisting of factors that fit into
|
||
a long.</p>
|
||
<h2 id="authors-remarks">Author’s remarks:</h2>
|
||
<p>The Obfuscated version of the Horst algorithm.</p>
|
||
<p>This program will factor unlimited length numbers and print the
|
||
factors in ascending order. Numbers of one digit (e.g. 8)
|
||
are rejected without notice.</p>
|
||
<p>It quits as soon as there is at most one factor left, but that factor will not
|
||
be shown. It accomplishes this efficiently, without resorting to division or
|
||
multiplication, until the candidate factor no longer fits in a signed long.</p>
|
||
<p>The nicest way is to rename the program into e.g. 4294967297
|
||
if you want to factor Fermat’s 4th number. Then just run it.</p>
|
||
<p>Or you may type <code>./albert <some-number></code>
|
||
A nice one is also (30 ones):</p>
|
||
<pre><code> ./albert 111111111111111111111111111111</code></pre>
|
||
<p>Apart from the foregoing there are no special execution instructions.</p>
|
||
<p>To customize the program into a factorizer of a fixed number, use</p>
|
||
<pre><code> cc albert.c -o 4294967297</code></pre>
|
||
<p>or some such.</p>
|
||
<p>There are no data files used, and it is not possible to feed input
|
||
via <code>stdin</code>.</p>
|
||
<p>I think this program is a nice example of algorithmic obfuscation. Several
|
||
times two similar algorithms are merged into one. Then you need quite some
|
||
tricks to get it running, such as long jumps through recursive subroutines. I
|
||
felt like a sword smith, welding the sword very long, folding it again to the
|
||
proper length, keep on hammering till it is tight, then fold again. Always
|
||
keeping it at the proper red hot temperature, but not too hot lest the hardness
|
||
fades.</p>
|
||
<p>The strict naming conventions for subroutines did not make things much clearer
|
||
after all, but it was not supposed to.</p>
|
||
<p>I would like to draw attention to the robustness of the program with respect to
|
||
error handling and the nice stopping criterion. The aesthetic appeal of some
|
||
lines is at the expense of clearness, I apologize.</p>
|
||
<p>Running the program through the C-beautifier reveals nothing, it will only
|
||
destroy some of the lay out. Running the program through lint shows the usual
|
||
remarks for a K&R program. Defeating this through casts does not make a program
|
||
cleaner in my opinion.</p>
|
||
<h3 id="hints">Hints</h3>
|
||
<p>Here are some hints, but they may not be too helpful:</p>
|
||
<ol type="1">
|
||
<li>The Horst algorithm is described in the Hobby Computer Club Newsletter, year
|
||
82, part 4, a real Dutch treat. Assembly, C and Forth version have been around
|
||
for some years.</li>
|
||
<li>Does fractal programming exist after all?</li>
|
||
<li>You remember the Toom-Cook algorithm in Knuth? It uses iteration instead of
|
||
recursion and is quite jumpy. This program shares these disadvantages in a
|
||
modified form.</li>
|
||
<li>The Conversion is to be found in Knuth, not so the Observation. The
|
||
Observation: “<em>if it ends in a zero, it is divisible by ten</em>”.</li>
|
||
</ol>
|
||
<!--
|
||
|
||
Copyright © 1984-2024 by Landon Curt Noll. All Rights Reserved.
|
||
|
||
You are free to share and adapt this file under the terms of this license:
|
||
|
||
Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
|
||
|
||
For more information, see:
|
||
|
||
https://creativecommons.org/licenses/by-sa/4.0/
|
||
|
||
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|
||
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|
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|
||
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||
|
||
<div id="inventory">
|
||
<h1 id="inventory-for-1992albert">Inventory for 1992/albert</h1>
|
||
</div>
|
||
<h2 id="primary-files">Primary files</h2>
|
||
<ul>
|
||
<li><a href="https://github.com/ioccc-src/winner/blob/master/1992/albert/albert.c">albert.c</a> - entry source code</li>
|
||
<li><a href="https://github.com/ioccc-src/winner/blob/master/1992/albert/Makefile">Makefile</a> - entry Makefile</li>
|
||
<li><a href="https://github.com/ioccc-src/winner/blob/master/1992/albert/albert.alt.c">albert.alt.c</a> - alternate source code</li>
|
||
<li><a href="https://github.com/ioccc-src/winner/blob/master/1992/albert/albert.orig.c">albert.orig.c</a> - original source code</li>
|
||
<li><a href="https://github.com/ioccc-src/winner/blob/master/1992/albert/try.alt.sh">try.alt.sh</a> - script to try alternate code</li>
|
||
<li><a href="https://github.com/ioccc-src/winner/blob/master/1992/albert/try.sh">try.sh</a> - script to try entry</li>
|
||
</ul>
|
||
<h2 id="secondary-files">Secondary files</h2>
|
||
<ul>
|
||
<li><a href="1992_albert.tar.bz2">1992_albert.tar.bz2</a> - download entry tarball</li>
|
||
<li><a href="https://github.com/ioccc-src/winner/blob/master/1992/albert/README.md">README.md</a> - markdown source for this web page</li>
|
||
<li><a href="https://github.com/ioccc-src/winner/blob/master/1992/albert/.entry.json">.entry.json</a> - entry summary and manifest in JSON</li>
|
||
<li><a href="https://github.com/ioccc-src/winner/blob/master/1992/albert/.gitignore">.gitignore</a> - list of files that should not be committed under git</li>
|
||
<li><a href="https://github.com/ioccc-src/winner/blob/master/1992/albert/.path">.path</a> - directory path from top level directory</li>
|
||
<li><a href="index.html">index.html</a> - this web page</li>
|
||
</ul>
|
||
<hr style="width:10%;text-align:left;margin-left:0">
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<h4>
|
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Jump to: <a href="#">top</a>
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</h4>
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</div>
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<!--
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|
||
Copyright © 1984-2025 by Landon Curt Noll. All Rights Reserved.
|
||
|
||
You are free to share and adapt this file under the terms of this license:
|
||
|
||
Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)
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|
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For more information, see:
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|
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https://creativecommons.org/licenses/by-sa/4.0/
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-->
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<div class="footer">
|
||
|
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<div id="copyright"><h3>Copyright © 1984-2025 by Landon Curt Noll:
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||
<a href="https://creativecommons.org/faq/#what-does-some-rights-reserved-mean"
|
||
target="_blank"
|
||
rel="license noopener noreferrer">Some Rights Reserved</a></h3>
|
||
<p>
|
||
This work is <b>licensed by Landon Curt Noll</b> under
|
||
<b><a href="https://creativecommons.org/licenses/by-sa/4.0/?ref=chooser-v1"
|
||
target="_blank"
|
||
rel="license noopener noreferrer"
|
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style="display:inline-block;">CC BY-SA 4.0</a></b>.
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<img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;"
|
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src="../../png/cc.png"
|
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alt="cc inside circle symbol">
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<img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;"
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src="../../png/by.png"
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alt="person inside circle symbol">
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<img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;"
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src="../../png/sa.png"
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alt="arrow looping back on itself inside circle symbol"><br>
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You should <b>carefully review</b> the
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<b><a href="https://creativecommons.org/licenses/by-sa/4.0/legalcode.en"
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target="_blank"
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rel="license noopener noreferrer">CC BY-SA 4.0 LEGAL CODE</a></b>
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before using the licensed material.<br>
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You may wish to review the
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<b><a href="../../license.html"
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target="_blank"
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rel="license noopener noreferrer">highlights of some of the key features and terms</a></b>
|
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of <b>CC BY-SA 4.0</b>.<br>
|
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</p>
|
||
</div>
|
||
|
||
<div id="coda"><h3>Coda</h3>
|
||
<p>
|
||
<a href="https://validator.w3.org/nu/?doc=https%3A%2F%2Fwww.ioccc.org%2F1992%2Falbert%2Findex.html" rel="nofollow">Nu HTML check this web page</a><br>
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<a href="#top">Jump to top</a> <a href="#content">Jump to Content</a> <a href="#inventory">Jump to Inventory</a><br>
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