<?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 43: Sum vs&nbsp;Product]]></title><type><![CDATA[link]]></type><html><![CDATA[<p>Corral Antisymmetric Multiplicative. Follow regular Corral clues (draw a loop following grid lines so all numbers are inside the loop). For each clue, let <img src="https://s0.wp.com/latex.php?latex=h&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002" srcset="https://s0.wp.com/latex.php?latex=h&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002 1x, https://s0.wp.com/latex.php?latex=h&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002&#038;zoom=4.5 4x" alt="h" class="latex" /> be the number of cells that belong in the loop, all in the same row, all connected, and contains this clue&#8217;s square. Define <img src="https://s0.wp.com/latex.php?latex=v&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002" srcset="https://s0.wp.com/latex.php?latex=v&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002 1x, https://s0.wp.com/latex.php?latex=v&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002&#038;zoom=4.5 4x" alt="v" class="latex" /> similarly for cells in the same column. For each pair of symmetric clues (with respect to center), exactly one of them gives <img src="https://s0.wp.com/latex.php?latex=h%2Bv-1&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002" srcset="https://s0.wp.com/latex.php?latex=h%2Bv-1&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002 1x, https://s0.wp.com/latex.php?latex=h%2Bv-1&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002&#038;zoom=4.5 4x" alt="h+v-1" class="latex" />; the other gives <img src="https://s0.wp.com/latex.php?latex=hv&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002" srcset="https://s0.wp.com/latex.php?latex=hv&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002 1x, https://s0.wp.com/latex.php?latex=hv&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002&#038;zoom=4.5 4x" alt="hv" class="latex" />.</p>
<p>&#8230;so I can&#8217;t think up a story. I shouldn&#8217;t be typing this while Russia vs Macau is going in <a href="http://osu.ppy.sh/forum/t/102985">osu! World Cup 3</a>&#8230; <b>Easy-medium</b> puzzle.</p>
<div data-shortcode="caption" id="attachment_595" style="width: 334px" class="wp-caption aligncenter"><a href="https://chaosatthesky.wordpress.com/2012/12/08/puzzle-43/043-corral-antisymmetric-multiplicative-2/" rel="attachment wp-att-595"><img loading="lazy" aria-describedby="caption-attachment-595" data-attachment-id="595" data-permalink="https://chaosatthesky.wordpress.com/2012/12/08/puzzle-43/043-corral-antisymmetric-multiplicative-2/" data-orig-file="https://chaosatthesky.files.wordpress.com/2012/12/043-corral-antisymmetric-multiplicative1.png" data-orig-size="324,324" 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="043 &#8211; Corral Antisymmetric Multiplicative" data-image-description="" data-image-caption="&lt;p&gt;Puzzle 43: Sum vs Product&lt;br /&gt;
Corral Antisymmetric Multiplicative&lt;/p&gt;
" data-medium-file="https://chaosatthesky.files.wordpress.com/2012/12/043-corral-antisymmetric-multiplicative1.png?w=300" data-large-file="https://chaosatthesky.files.wordpress.com/2012/12/043-corral-antisymmetric-multiplicative1.png?w=324" class="size-full wp-image-595 " alt="" src="https://chaosatthesky.files.wordpress.com/2012/12/043-corral-antisymmetric-multiplicative1.png?w=324&#038;h=324" height="324" width="324" srcset="https://chaosatthesky.files.wordpress.com/2012/12/043-corral-antisymmetric-multiplicative1.png 324w, https://chaosatthesky.files.wordpress.com/2012/12/043-corral-antisymmetric-multiplicative1.png?w=150&amp;h=150 150w, https://chaosatthesky.files.wordpress.com/2012/12/043-corral-antisymmetric-multiplicative1.png?w=300&amp;h=300 300w" sizes="(max-width: 324px) 100vw, 324px" /></a><p id="caption-attachment-595" class="wp-caption-text">Puzzle 43: Sum vs Product<br />Corral Antisymmetric Multiplicative</p></div>
<p><b>UPDATE (9-Dec-2012, 20:06): Fixed ambiguity in bottom middle.</b></p>
<p>Enjoy. No particular comment.</p>
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