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	<title>Comments on: Euler Problem 109</title>
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	<link>http://www.dailydoseofexcel.com/archives/2009/08/29/euler-problem-109/</link>
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		<title>By: Michael</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/29/euler-problem-109/#comment-51885</link>
		<dc:creator>Michael</dc:creator>
		<pubDate>Wed, 06 Oct 2010 00:09:00 +0000</pubDate>
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		<description>&lt;p&gt;Angela -&lt;/p&gt;
&lt;p&gt;A double bull is fifty.&lt;/p&gt;
&lt;p&gt;See &lt;a href=&quot;http://news.bbc.co.uk/sport/hi/english/static/in_depth/other_sports/2002/world_darts/check_out.stm&quot; rel=&quot;nofollow&quot;&gt;http://news.bbc.co.uk/sport/hi/english/static/in_depth/other_sports/2002/world_darts/check_out.stm&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;Any combination that puts you 50 away works.  There are many.&lt;/p&gt;
&lt;p&gt;&lt;i&gt;...mrt&lt;/i&gt;&lt;/p&gt;
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		<content:encoded><![CDATA[<p>Angela -</p>
<p>A double bull is fifty.</p>
<p>See <a href="http://news.bbc.co.uk/sport/hi/english/static/in_depth/other_sports/2002/world_darts/check_out.stm" rel="nofollow">http://news.bbc.co.uk/sport/hi/english/static/in_depth/other_sports/2002/world_darts/check_out.stm</a></p>
<p>Any combination that puts you 50 away works.  There are many.</p>
<p><i>&#8230;mrt</i></p>
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		<title>By: Angela Brown</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/29/euler-problem-109/#comment-51827</link>
		<dc:creator>Angela Brown</dc:creator>
		<pubDate>Mon, 04 Oct 2010 23:39:00 +0000</pubDate>
		<guid isPermaLink="false">http://www.dailydoseofexcel.com/?p=2923#comment-51827</guid>
		<description>&lt;p&gt;If my last throw is a Double bulls eye what 2 possible combination&#039;s could I use to win with my first 2 darts?&lt;/p&gt;
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		<content:encoded><![CDATA[<p>If my last throw is a Double bulls eye what 2 possible combination&#8217;s could I use to win with my first 2 darts?</p>
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		<title>By: Michael</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/29/euler-problem-109/#comment-40863</link>
		<dc:creator>Michael</dc:creator>
		<pubDate>Tue, 01 Sep 2009 17:31:00 +0000</pubDate>
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		<description>&lt;p&gt;Hi Josh -&lt;/p&gt;
&lt;p&gt;Thanks.&lt;/p&gt;
&lt;p&gt;I&#039;d agree, probably won&#039;t make a difference.  Since doubles are an ordered sort, as soon as one double fails by summing &gt;= 100, leave the loop, for all the remaining ones, being higher, will fail too.&lt;/p&gt;
&lt;p&gt;I sort the problems in ascending difficulty, and I&#039;m on the upper part of page 3.  These are solved by ~1200 to 1500 members, and they are &lt;i&gt;really&lt;/i&gt; challenging me.  Problem 109 was the first in a while that I had an insight to.  I give full credit to those days in Dunoon, Scotland. ;-)&lt;/p&gt;
&lt;p&gt;&lt;i&gt;...mrt&lt;/i&gt;&lt;/p&gt;
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		<content:encoded><![CDATA[<p>Hi Josh -</p>
<p>Thanks.</p>
<p>I&#8217;d agree, probably won&#8217;t make a difference.  Since doubles are an ordered sort, as soon as one double fails by summing &gt;= 100, leave the loop, for all the remaining ones, being higher, will fail too.</p>
<p>I sort the problems in ascending difficulty, and I&#8217;m on the upper part of page 3.  These are solved by ~1200 to 1500 members, and they are <i>really</i> challenging me.  Problem 109 was the first in a while that I had an insight to.  I give full credit to those days in Dunoon, Scotland. <img src='http://www.dailydoseofexcel.com/wp-includes/images/smilies/icon_wink.gif' alt=';-)' class='wp-smiley' /> </p>
<p><i>&#8230;mrt</i></p>
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		<title>By: JoshG</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/29/euler-problem-109/#comment-40861</link>
		<dc:creator>JoshG</dc:creator>
		<pubDate>Tue, 01 Sep 2009 16:08:00 +0000</pubDate>
		<guid isPermaLink="false">http://www.dailydoseofexcel.com/?p=2923#comment-40861</guid>
		<description>&lt;p&gt;It figures you would go with this problem next.  I remember not caring for it much.  I used a collection to store the dart throws to make sure there weren&#039;t any duplicates - not very efficient.  I like your way much better.  One thing I did (and this probably won&#039;t make much difference in your code at all) is to throw the last dart first.  In other words, the first dart was always a double.  This guarantees a double and may also allow you to jump out of the loop earlier.  Well done, sir.&lt;/p&gt;
&lt;p&gt;-Josh&lt;/p&gt;
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		<content:encoded><![CDATA[<p>It figures you would go with this problem next.  I remember not caring for it much.  I used a collection to store the dart throws to make sure there weren&#8217;t any duplicates &#8211; not very efficient.  I like your way much better.  One thing I did (and this probably won&#8217;t make much difference in your code at all) is to throw the last dart first.  In other words, the first dart was always a double.  This guarantees a double and may also allow you to jump out of the loop earlier.  Well done, sir.</p>
<p>-Josh</p>
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