<?xml version="1.0" encoding="UTF-8" standalone="yes"?><oembed><version><![CDATA[1.0]]></version><provider_name><![CDATA[justpuzzles]]></provider_name><provider_url><![CDATA[https://justpuzzles.wordpress.com]]></provider_url><author_name><![CDATA[Teun Spaans]]></author_name><author_url><![CDATA[https://justpuzzles.wordpress.com/author/teunspaans/]]></author_url><title><![CDATA[Hidden numbers]]></title><type><![CDATA[link]]></type><html><![CDATA[<p>In issue @@@ of @@@, Sanders published a new type of puzzle, called &#8216;hidden numbers&#8217;.</p>
<p>I must confess that the puzzle was too hard for me, though in the future I may give it a try again.</p>
<p>In this post I present a simplified version.<br />
1. The numbers 1 to n have been hidden in a square grid.<br />
2. Yellow areas give the sum of the hidden numbers in row and column of the yellow square.</p>
<p>Example:<br />
<a href="https://justpuzzles.wordpress.com/?attachment_id=5206" rel="attachment wp-att-5206"><img loading="lazy" data-attachment-id="5206" data-permalink="https://justpuzzles.wordpress.com/2017/12/01/hidden-numbers/hidden-numbers-5x5-example/" data-orig-file="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-5x5-example.png" data-orig-size="134,143" 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;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="Hidden numbers 5&#215;5 example" data-image-description="" data-image-caption="" data-medium-file="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-5x5-example.png?w=134" data-large-file="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-5x5-example.png?w=134" src="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-5x5-example.png?w=134&#038;h=143" alt="" width="134" height="143" class="alignnone size-full wp-image-5206" /></a><br />
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<p>1) 4&#215;4<sup>*/*****</sup><br />
<a href="https://justpuzzles.wordpress.com/?attachment_id=5201" rel="attachment wp-att-5201"><img loading="lazy" data-attachment-id="5201" data-permalink="https://justpuzzles.wordpress.com/2017/12/01/hidden-numbers/hidden-numbers-4x4-2017-08-30-exercise/" data-orig-file="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-4x4-2017-08-30-exercise.png" data-orig-size="115,123" 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;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="Hidden numbers &#8211; 4&#215;4 2017-08-30 exercise" data-image-description="" data-image-caption="" data-medium-file="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-4x4-2017-08-30-exercise.png?w=115" data-large-file="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-4x4-2017-08-30-exercise.png?w=115" src="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-4x4-2017-08-30-exercise.png?w=115&#038;h=123" alt="" width="115" height="123" class="alignnone size-full wp-image-5201" /></a><br />
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<p>2) 5&#215;5<sup>*/*****</sup><br />
<a href="https://justpuzzles.wordpress.com/?attachment_id=5202" rel="attachment wp-att-5202"><img loading="lazy" data-attachment-id="5202" data-permalink="https://justpuzzles.wordpress.com/2017/12/01/hidden-numbers/hidden-numbers-5x5-2017-08-30-exercise/" data-orig-file="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-5x5-2017-08-30-exercise.png" data-orig-size="134,143" 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;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="Hidden numbers &#8211; 5&#215;5 2017-08-30 exercise" data-image-description="" data-image-caption="" data-medium-file="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-5x5-2017-08-30-exercise.png?w=134" data-large-file="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-5x5-2017-08-30-exercise.png?w=134" src="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-5x5-2017-08-30-exercise.png?w=134&#038;h=143" alt="" width="134" height="143" class="alignnone size-full wp-image-5202" /></a><br />
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<p>3) 6&#215;6<sup>**/*****</sup><br />
<a href="https://justpuzzles.wordpress.com/?attachment_id=5203" rel="attachment wp-att-5203"><img loading="lazy" data-attachment-id="5203" data-permalink="https://justpuzzles.wordpress.com/2017/12/01/hidden-numbers/hidden-numbers-6x6-2017-08-30-exercise/" data-orig-file="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-6x6-2017-08-30-exercise.png" data-orig-size="153,163" 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;,&quot;orientation&quot;:&quot;0&quot;}" data-image-title="Hidden numbers &#8211; 6&#215;6 2017-08-30 exercise" data-image-description="" data-image-caption="" data-medium-file="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-6x6-2017-08-30-exercise.png?w=153" data-large-file="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-6x6-2017-08-30-exercise.png?w=153" src="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-6x6-2017-08-30-exercise.png?w=153&#038;h=163" alt="" width="153" height="163" class="alignnone size-full wp-image-5203" srcset="https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-6x6-2017-08-30-exercise.png 153w, https://justpuzzles.files.wordpress.com/2017/09/hidden-numbers-6x6-2017-08-30-exercise.png?w=141&amp;h=150 141w" sizes="(max-width: 153px) 100vw, 153px" /></a><br />
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<p>From here there are two ways to increase the difficulty of the puzzle (aside from increasing the size):<br />
a) Put more than one hidden number in a row and / or column. This is what Sanders did.<br />
b) Sum only the first number visible in any row or column. Any number, including the numbers in yellow squares, block the line of sight for any numbers behind them.</p>
<p>New puzzles are published twice a month on Fridays. Solutions are published after one or more weeks. You are welcome to discuss difficulty levels, variations and alternate solutions, but plz. don&#8217;t publish the solutions.</p>
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