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	<title>Comments on: The 1-2-3-4-5-6-7-8-9 Sunday event</title>
	<atom:link href="http://trilema.com/2015/the-1-2-3-4-5-6-7-8-9-sunday-event/feed/" rel="self" type="application/rss+xml" />
	<link>http://trilema.com/2015/the-1-2-3-4-5-6-7-8-9-sunday-event/</link>
	<description>Moving targets for a fast crowd.</description>
	<pubDate>Thu, 09 Apr 2026 05:49:23 +0000</pubDate>
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		<title>By: The sad story of Sacrifice on Trilema - A blog by Mircea Popescu.</title>
		<link>http://trilema.com/2015/the-1-2-3-4-5-6-7-8-9-sunday-event/#comment-141640</link>
		<dc:creator>The sad story of Sacrifice on Trilema - A blog by Mircea Popescu.</dc:creator>
		<pubDate>Wed, 08 Jan 2020 08:14:22 +0000</pubDate>
		<guid isPermaLink="false">http://trilema.com/?p=62774#comment-141640</guid>
		<description>[...] was my conviction that they will be discovered immediately. A total blowout, something like this later [...]</description>
		<content:encoded><![CDATA[<p>[...] was my conviction that they will be discovered immediately. A total blowout, something like this later [...]</p>
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		<title>By: Mircea Popescu</title>
		<link>http://trilema.com/2015/the-1-2-3-4-5-6-7-8-9-sunday-event/#comment-114949</link>
		<dc:creator>Mircea Popescu</dc:creator>
		<pubDate>Tue, 04 Aug 2015 00:06:11 +0000</pubDate>
		<guid isPermaLink="false">http://trilema.com/?p=62774#comment-114949</guid>
		<description>Pretty good stuff, I say.</description>
		<content:encoded><![CDATA[<p>Pretty good stuff, I say.</p>
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		<title>By: Daniel P. Barron</title>
		<link>http://trilema.com/2015/the-1-2-3-4-5-6-7-8-9-sunday-event/#comment-114947</link>
		<dc:creator>Daniel P. Barron</dc:creator>
		<pubDate>Mon, 03 Aug 2015 16:37:04 +0000</pubDate>
		<guid isPermaLink="false">http://trilema.com/?p=62774#comment-114947</guid>
		<description>I haven't been able to come up with a 'sexpr' yet, but here's the equation I used to complete the contest:

{starting_quality} - {quality_lost_per_iteration}*x = {desired_end_quality} + {quality_lost_per_use} * y

where an 'iteration' is when you use a tool and then merge it with a stack of the same kind of tool for the purpose of averaging out the qualities in such a way as to lose a point of quality in the rounding down. For the pickaxe and the hoe, this is accomplished with a stack of two, but for the adze it requires a stack of three (because the adze's normal use takes away an even number of quality points and therefor will not lose a point in rounding down unless stacked in odd numbers).

Anyone who seriously attempted this probably already knows that tools degrade as follows:

hoe - 187 per use, 94 per iteration
pickaxe - 175 .. .. 88 ..
adze - 170 .. .. 57 ..

So if you want to end up with say.. a quality '9' pickaxe and you're starting with two at quality 18`200, your equation should be:

18200 - 88*x = 9 + 175*y

which you can re-arrange to get:

x = 175*n + 157
y = 25 - 88*n

substitute '0' for 'n' because we want the first instance of cross-over, and make sure that 'y' doesn't equal a negative number as that would mean you cannot arrive at the desired quality from the designated starting point.

That leaves us with:

x = 157
y = 25

That means you want to /explore and merge 157 times, and then use the tool normally 25 times.

This probably isn't the most efficient method if you're trying to get a certain quality as fast as possible, but if you were going to do a lot of /exploring anyway, it works fine.</description>
		<content:encoded><![CDATA[<p>I haven't been able to come up with a 'sexpr' yet, but here's the equation I used to complete the contest:</p>
<p>{starting_quality} - {quality_lost_per_iteration}*x = {desired_end_quality} + {quality_lost_per_use} * y</p>
<p>where an 'iteration' is when you use a tool and then merge it with a stack of the same kind of tool for the purpose of averaging out the qualities in such a way as to lose a point of quality in the rounding down. For the pickaxe and the hoe, this is accomplished with a stack of two, but for the adze it requires a stack of three (because the adze's normal use takes away an even number of quality points and therefor will not lose a point in rounding down unless stacked in odd numbers).</p>
<p>Anyone who seriously attempted this probably already knows that tools degrade as follows:</p>
<p>hoe - 187 per use, 94 per iteration<br />
pickaxe - 175 .. .. 88 ..<br />
adze - 170 .. .. 57 ..</p>
<p>So if you want to end up with say.. a quality '9' pickaxe and you're starting with two at quality 18`200, your equation should be:</p>
<p>18200 - 88*x = 9 + 175*y</p>
<p>which you can re-arrange to get:</p>
<p>x = 175*n + 157<br />
y = 25 - 88*n</p>
<p>substitute '0' for 'n' because we want the first instance of cross-over, and make sure that 'y' doesn't equal a negative number as that would mean you cannot arrive at the desired quality from the designated starting point.</p>
<p>That leaves us with:</p>
<p>x = 157<br />
y = 25</p>
<p>That means you want to /explore and merge 157 times, and then use the tool normally 25 times.</p>
<p>This probably isn't the most efficient method if you're trying to get a certain quality as fast as possible, but if you were going to do a lot of /exploring anyway, it works fine.</p>
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