<p><div><div><div><div data-width="100" data-show-faces="false" data-send="true" data-layout="button_count" data-height="21" data-href="http://www.r-bloggers.com/le-monde-puzzle-964/"></div></div><div><a data-url="http://www.r-bloggers.com/le-monde-puzzle-964/" data-counturl="http://www.r-bloggers.com/le-monde-puzzle-964/" data-count="horizontal" data-text="Le Monde puzzle [#964]" class="twitter-share-button" data-via="rbloggers" href="https://twitter.com/share"></a></div><div></div></div><div></div></div>
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(This article was first published on <strong><a href="https://xianblog.wordpress.com/2016/06/02/le-monde-puzzle-964/"> R – Xi'an's Og</a></strong>, and kindly contributed to <a rel="nofollow" href="http://www.r-bloggers.com/">R-bloggers)</a> </div>
<p><strong><img height="185" alt="" width="273" src="https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcRsQd3v7efgSlmsNPKddzl-oQS9fZOF8a68V6KPmf5dnmI_EJ66rw">A</strong> not so enticing <a title="Le Monde puzzle [website]" target="_blank" href="https://xianblog.wordpress.com/2011/09/03/le-monde-puzzle-website/">Le Monde mathematical puzzle</a>:</p>
<blockquote>
<p><em>Find the minimal value of a five digit number divided by the sum of its digits. </em><em><br>
</em></p>
</blockquote>
<p><strong>T</strong>his can formalised as finding the minimum of N/(a+b+c+d+e) when N writes abcde. And solved by brute force. Using a rough approach to finding the digits of a five-digit number, the question can be easily solved as</p>
<pre>
pris=1e6
for (i in 1e4:1e5){
 pres=i/sum((i %% 10^{5:1})) %/% 10^{4:0})
 if (pres&lt;pris){
 pris=pres;sol=i}}
</pre>
<p>which returns N=10999 as its solution. (The solution for six digits is 10999.) The mathematical solution as provided in the newspaper certainly sounded more exciting.</p>
<p>Filed under: <a target="_blank" href="https://xianblog.wordpress.com/category/books/">Books</a>, <a target="_blank" href="https://xianblog.wordpress.com/category/kids/">Kids</a>, <a target="_blank" href="https://xianblog.wordpress.com/category/statistics/r-statistics/">R</a> Tagged: <a target="_blank" href="https://xianblog.wordpress.com/tag/le-monde/">Le Monde</a>, <a target="_blank" href="https://xianblog.wordpress.com/tag/mathematical-puzzle/">mathematical puzzle</a>, <a target="_blank" href="https://xianblog.wordpress.com/tag/r/">R</a> <a target="_blank" rel="nofollow" href="http://feeds.wordpress.com/1.0/gocomments/xianblog.wordpress.com/30738/"><img alt="" src="http://feeds.wordpress.com/1.0/comments/xianblog.wordpress.com/30738/" border="0"></a> <img height="1" alt="" width="1" src="https://pixel.wp.com/b.gif?host=xianblog.wordpress.com&blog=5051449&%23038;post=30738&%23038;subd=xianblog&%23038;ref=&%23038;feed=1" border="0"></p>
<p><div><div><div><div data-width="55" data-show-faces="false" data-send="true" data-layout="box_count" data-height="62" data-href="http://www.r-bloggers.com/le-monde-puzzle-964/"></div></div><div><a data-url="http://www.r-bloggers.com/le-monde-puzzle-964/" data-counturl="http://www.r-bloggers.com/le-monde-puzzle-964/" data-count="vertical" data-text="Le Monde puzzle [#964]" class="twitter-share-button" data-via="rbloggers" href="https://twitter.com/share"></a></div><div></div></div><div></div></div>
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