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	<title>Comments on: Euler Problem 205</title>
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	<link>http://www.dailydoseofexcel.com/archives/2009/08/08/euler-problem-205/</link>
	<description>Daily posts of Excel tips…and other stuff</description>
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		<title>By: Zapp</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/08/euler-problem-205/#comment-52385</link>
		<dc:creator>Zapp</dc:creator>
		<pubDate>Mon, 11 Oct 2010 01:08:00 +0000</pubDate>
		<guid isPermaLink="false">http://www.dailydoseofexcel.com/?p=2787#comment-52385</guid>
		<description>&lt;p&gt;How about instead using the Troll probability calculator?&lt;/p&gt;
&lt;p&gt;There you simply say &lt;b&gt;count (sum 9d4) &gt; (sum 6d6)&lt;/b&gt; and press a button!&lt;/p&gt;
&lt;p&gt;Google &quot;Troll dice roller&quot; and you&#039;ll find its webpage easily.&lt;/p&gt;
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		<content:encoded><![CDATA[<p>How about instead using the Troll probability calculator?</p>
<p>There you simply say <b>count (sum 9d4) &gt; (sum 6d6)</b> and press a button!</p>
<p>Google &#8220;Troll dice roller&#8221; and you&#8217;ll find its webpage easily.</p>
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		<title>By: Michael</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/08/euler-problem-205/#comment-40636</link>
		<dc:creator>Michael</dc:creator>
		<pubDate>Fri, 14 Aug 2009 02:02:00 +0000</pubDate>
		<guid isPermaLink="false">http://www.dailydoseofexcel.com/?p=2787#comment-40636</guid>
		<description>&lt;p&gt;Answering my own question, the Smiley gouge is here:&lt;/p&gt;
&lt;p&gt;&lt;a href=&quot;http://codex.wordpress.org/Using_Smilies&quot; rel=&quot;nofollow&quot;&gt;http://codex.wordpress.org/Using_Smilies&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;i&gt;...mrt&lt;/i&gt; :roll:&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Answering my own question, the Smiley gouge is here:</p>
<p><a href="http://codex.wordpress.org/Using_Smilies" rel="nofollow">http://codex.wordpress.org/Using_Smilies</a></p>
<p><i>&#8230;mrt</i> <img src='http://www.dailydoseofexcel.com/wp-includes/images/smilies/icon_rolleyes.gif' alt=':roll:' class='wp-smiley' /> </p>
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		<title>By: fzz</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/08/euler-problem-205/#comment-40624</link>
		<dc:creator>fzz</dc:creator>
		<pubDate>Thu, 13 Aug 2009 17:50:00 +0000</pubDate>
		<guid isPermaLink="false">http://www.dailydoseofexcel.com/?p=2787#comment-40624</guid>
		<description>&lt;p&gt;Tushar does this by generating all possible permutations?! One of the goals of Project Euler is solving the problems efficiently. Generating all dice permutations is completely unnecessary. Brute force taken to to the extreme.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Tushar does this by generating all possible permutations?! One of the goals of Project Euler is solving the problems efficiently. Generating all dice permutations is completely unnecessary. Brute force taken to to the extreme.</p>
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		<title>By: Tushar Mehta</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/08/euler-problem-205/#comment-40608</link>
		<dc:creator>Tushar Mehta</dc:creator>
		<pubDate>Thu, 13 Aug 2009 06:00:00 +0000</pubDate>
		<guid isPermaLink="false">http://www.dailydoseofexcel.com/?p=2787#comment-40608</guid>
		<description>&lt;p&gt;For a Excel solution:&lt;br&gt;
Project Euler - Problem 205&lt;br&gt;
&lt;a href=&quot;http://www.tushar-mehta.com/misc_tutorials/project_euler/euler205.html&quot; rel=&quot;nofollow&quot;&gt;http://www.tushar-mehta.com/misc_tutorials/project_euler/euler205.html&lt;/a&gt;&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>For a Excel solution:<br />
Project Euler &#8211; Problem 205<br />
<a href="http://www.tushar-mehta.com/misc_tutorials/project_euler/euler205.html" rel="nofollow">http://www.tushar-mehta.com/misc_tutorials/project_euler/euler205.html</a></p>
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		<title>By: JoshG</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/08/euler-problem-205/#comment-40595</link>
		<dc:creator>JoshG</dc:creator>
		<pubDate>Wed, 12 Aug 2009 16:22:00 +0000</pubDate>
		<guid isPermaLink="false">http://www.dailydoseofexcel.com/?p=2787#comment-40595</guid>
		<description>&lt;p&gt;Michael,&lt;br&gt;
I agree - fzz should join.  How about it fzz, got some extra time on your hands?  &lt;/p&gt;
&lt;p&gt;-Josh&lt;/p&gt;
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		<content:encoded><![CDATA[<p>Michael,<br />
I agree &#8211; fzz should join.  How about it fzz, got some extra time on your hands?  </p>
<p>-Josh</p>
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		<title>By: Michael</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/08/euler-problem-205/#comment-40579</link>
		<dc:creator>Michael</dc:creator>
		<pubDate>Tue, 11 Aug 2009 21:50:00 +0000</pubDate>
		<guid isPermaLink="false">http://www.dailydoseofexcel.com/?p=2787#comment-40579</guid>
		<description>&lt;p&gt;Well I just learned something:  an 8 next to a close paren makes this 8)&lt;/p&gt;
&lt;p&gt;Josh -&lt;/p&gt;
&lt;p&gt;fzz should join, only he has to do the problems from the high end down to give us a chance ;-)&lt;/p&gt;
&lt;p&gt;&lt;i&gt;...mrt&lt;/i&gt; wondering where the smiley gouge is&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Well I just learned something:  an 8 next to a close paren makes this <img src='http://www.dailydoseofexcel.com/wp-includes/images/smilies/icon_cool.gif' alt='8)' class='wp-smiley' /> </p>
<p>Josh -</p>
<p>fzz should join, only he has to do the problems from the high end down to give us a chance <img src='http://www.dailydoseofexcel.com/wp-includes/images/smilies/icon_wink.gif' alt=';-)' class='wp-smiley' /> </p>
<p><i>&#8230;mrt</i> wondering where the smiley gouge is</p>
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		<title>By: Michael</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/08/euler-problem-205/#comment-40578</link>
		<dc:creator>Michael</dc:creator>
		<pubDate>Tue, 11 Aug 2009 21:44:00 +0000</pubDate>
		<guid isPermaLink="false">http://www.dailydoseofexcel.com/?p=2787#comment-40578</guid>
		<description>&lt;p&gt;fzz -&lt;/p&gt;
&lt;p&gt;Your exponential advice, considering we are talking 10ths of a second, was dramatic.&lt;/p&gt;
&lt;p&gt;Old Time: 0.578125&lt;br&gt;
New Time: 0.28125&lt;/p&gt;
&lt;p&gt;With this as a prelude:&lt;br&gt;
   Dim Power6(0 To 5) As Double&lt;br&gt;
   Dim Power4(0 To 8) As Double&lt;br&gt;
   Power6(0) = 1&lt;br&gt;
   Power6(1) = 6&lt;br&gt;
   For N = 2 To 5&lt;br&gt;
      Power6(N) = 6 ^ N&lt;br&gt;
   Next N&lt;/p&gt;
&lt;p&gt;   Power4(0) = 1&lt;br&gt;
   Power4(1) = 4&lt;br&gt;
   For N = 2 To 8&lt;br&gt;
      Power4(N) = 4 ^ N&lt;br&gt;
   Next N&lt;/p&gt;
&lt;p&gt;The 2 affected lines now look like this:&lt;br&gt;
   TEMP = -Int(-N / Power6(C)) Mod 6&lt;br&gt;
   TEMP = -Int(-N / Power4(P)) Mod 4&lt;/p&gt;
&lt;p&gt;Thanks again.&lt;/p&gt;
&lt;p&gt;&lt;i&gt;...mrt&lt;/i&gt;&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>fzz -</p>
<p>Your exponential advice, considering we are talking 10ths of a second, was dramatic.</p>
<p>Old Time: 0.578125<br />
New Time: 0.28125</p>
<p>With this as a prelude:<br />
   Dim Power6(0 To 5) As Double<br />
   Dim Power4(0 To <img src='http://www.dailydoseofexcel.com/wp-includes/images/smilies/icon_cool.gif' alt='8)' class='wp-smiley' /> As Double<br />
   Power6(0) = 1<br />
   Power6(1) = 6<br />
   For N = 2 To 5<br />
      Power6(N) = 6 ^ N<br />
   Next N</p>
<p>   Power4(0) = 1<br />
   Power4(1) = 4<br />
   For N = 2 To 8<br />
      Power4(N) = 4 ^ N<br />
   Next N</p>
<p>The 2 affected lines now look like this:<br />
   TEMP = -Int(-N / Power6(C)) Mod 6<br />
   TEMP = -Int(-N / Power4(P)) Mod 4</p>
<p>Thanks again.</p>
<p><i>&#8230;mrt</i></p>
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		<title>By: JoshG</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/08/euler-problem-205/#comment-40575</link>
		<dc:creator>JoshG</dc:creator>
		<pubDate>Tue, 11 Aug 2009 16:03:00 +0000</pubDate>
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		<description>&lt;p&gt;fzz,&lt;br&gt;
You&#039;ve always been so quick and helpful with the Project Euler problems, even posting solutions, that I just assumed you were a member.  My bad.&lt;/p&gt;
&lt;p&gt;Thanks a lot for your explanation above.  It&#039;s a huge help.&lt;/p&gt;
&lt;p&gt;-Josh&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>fzz,<br />
You&#8217;ve always been so quick and helpful with the Project Euler problems, even posting solutions, that I just assumed you were a member.  My bad.</p>
<p>Thanks a lot for your explanation above.  It&#8217;s a huge help.</p>
<p>-Josh</p>
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		<title>By: Michael</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/08/euler-problem-205/#comment-40568</link>
		<dc:creator>Michael</dc:creator>
		<pubDate>Mon, 10 Aug 2009 22:29:00 +0000</pubDate>
		<guid isPermaLink="false">http://www.dailydoseofexcel.com/?p=2787#comment-40568</guid>
		<description>&lt;p&gt;fzz -&lt;/p&gt;
&lt;p&gt;Thank you.  So obvious in the telling, but I never would have thought of it.  I&#039;ll make the changes and see what the differences are.&lt;/p&gt;
&lt;p&gt;Mathias -&lt;/p&gt;
&lt;p&gt;No, not close.  I just went over the 100-problem mark a few weeks ago.  That qualified me as a novice, by the way the site assigns grades.  Euler seems to be adding a problem a week, and my solution rate is falling off.  Trends are going the wrong way ;-)&lt;/p&gt;
&lt;p&gt;&lt;i&gt;...mrt&lt;/i&gt;&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>fzz -</p>
<p>Thank you.  So obvious in the telling, but I never would have thought of it.  I&#8217;ll make the changes and see what the differences are.</p>
<p>Mathias -</p>
<p>No, not close.  I just went over the 100-problem mark a few weeks ago.  That qualified me as a novice, by the way the site assigns grades.  Euler seems to be adding a problem a week, and my solution rate is falling off.  Trends are going the wrong way <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: Mathias</title>
		<link>http://www.dailydoseofexcel.com/archives/2009/08/08/euler-problem-205/#comment-40564</link>
		<dc:creator>Mathias</dc:creator>
		<pubDate>Mon, 10 Aug 2009 21:22:00 +0000</pubDate>
		<guid isPermaLink="false">http://www.dailydoseofexcel.com/?p=2787#comment-40564</guid>
		<description>&lt;p&gt;BTW Michael, you seem to get dangerously close from finishing the problems, so I thought I would point out that The Daily WTF has a new section, &quot;Programming Praxis&quot;, which could give you some extra miles to code, if they keep it going ;)&lt;br&gt;
&lt;a href=&quot;http://thedailywtf.com/Series/Programming_Praxis.aspx&quot; rel=&quot;nofollow&quot;&gt;http://thedailywtf.com/Series/Programming_Praxis.aspx&lt;/a&gt;&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>BTW Michael, you seem to get dangerously close from finishing the problems, so I thought I would point out that The Daily WTF has a new section, &#8220;Programming Praxis&#8221;, which could give you some extra miles to code, if they keep it going <img src='http://www.dailydoseofexcel.com/wp-includes/images/smilies/icon_wink.gif' alt=';)' class='wp-smiley' /> <br />
<a href="http://thedailywtf.com/Series/Programming_Praxis.aspx" rel="nofollow">http://thedailywtf.com/Series/Programming_Praxis.aspx</a></p>
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