<?xml version="1.0" encoding="UTF-8" standalone="yes"?><oembed><version><![CDATA[1.0]]></version><provider_name><![CDATA[Chaos at the Sky]]></provider_name><provider_url><![CDATA[https://chaosatthesky.wordpress.com]]></provider_url><author_name><![CDATA[chaotic_iak]]></author_name><author_url><![CDATA[https://chaosatthesky.wordpress.com/author/chaoticiak/]]></author_url><title><![CDATA[Puzzle 80: Hardcore&nbsp;Mode]]></title><type><![CDATA[link]]></type><html><![CDATA[<p><b>Counting</b> Count the number of paths from S (start) to G (goal) that stays along the white roads. Paths cannot use the same road twice but may visit the same intersection twice. As an example, the pink path shows one valid path.</p>
<p><b>Expected difficulty</b> <span style="color:#800000;">Insane</span> • <a href="https://dl.dropboxusercontent.com/u/32050066/Chaos%20at%20the%20Sky/Answers/080.txt">Answer</a> • <span style="color:#800000;">Comment/E-mail if you want a solution to be published</span></p>
<div data-shortcode="caption" id="attachment_1483" style="width: 506px" class="wp-caption aligncenter"><a href="https://chaosatthesky.files.wordpress.com/2014/02/080-counting.png"><img loading="lazy" aria-describedby="caption-attachment-1483" data-attachment-id="1483" data-permalink="https://chaosatthesky.wordpress.com/2014/02/17/p080/080-counting/" data-orig-file="https://chaosatthesky.files.wordpress.com/2014/02/080-counting.png" data-orig-size="496,528" data-comments-opened="1" data-image-meta="{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}" data-image-title="080 &#8211; Counting" data-image-description="" data-image-caption="&lt;p&gt;Puzzle 80: Hardcore Mode&lt;br /&gt;
Counting&lt;/p&gt;
" data-medium-file="https://chaosatthesky.files.wordpress.com/2014/02/080-counting.png?w=282" data-large-file="https://chaosatthesky.files.wordpress.com/2014/02/080-counting.png?w=496" src="https://chaosatthesky.files.wordpress.com/2014/02/080-counting.png?w=496&#038;h=528" alt="Puzzle 80: Counting" width="496" height="528" class="size-full wp-image-1483" srcset="https://chaosatthesky.files.wordpress.com/2014/02/080-counting.png 496w, https://chaosatthesky.files.wordpress.com/2014/02/080-counting.png?w=141&amp;h=150 141w, https://chaosatthesky.files.wordpress.com/2014/02/080-counting.png?w=282&amp;h=300 282w" sizes="(max-width: 496px) 100vw, 496px" /></a><p id="caption-attachment-1483" class="wp-caption-text">Puzzle 80: Hardcore Mode<br />Counting</p></div>
<p>Erm. You may use a calculator or a program. (If you managed to program the solution, then you deserve the answer. I&#8217;m not responsible if you miscalculate when you&#8217;re multiplying large numbers by hand.)</p>
<p>This is a rejected puzzle of a set born out of a stupid idea. Why did I even think of this? The good news is I have a free <a href="https://brilliant.org/community-problem/path-counting/">Brilliant.org problem idea</a>, and I can practice my programming skills.</p>
]]></html><thumbnail_url><![CDATA[https://chaosatthesky.files.wordpress.com/2014/02/080-counting.png?fit=440%2C330]]></thumbnail_url><thumbnail_width><![CDATA[]]></thumbnail_width><thumbnail_height><![CDATA[]]></thumbnail_height></oembed>