<?xml version="1.0" encoding="UTF-8" standalone="yes"?><oembed><version><![CDATA[1.0]]></version><provider_name><![CDATA[Chaos at the Sky]]></provider_name><provider_url><![CDATA[https://chaosatthesky.wordpress.com]]></provider_url><author_name><![CDATA[chaotic_iak]]></author_name><author_url><![CDATA[https://chaosatthesky.wordpress.com/author/chaoticiak/]]></author_url><title><![CDATA[Mar del Plata]]></title><type><![CDATA[link]]></type><html><![CDATA[<p>Yep, I&#8217;m 99.99% confirmed to go to IMO 2012 in Argentina. Darn Department of Education for not sending the official letter up until now (hence the reason of 99.99%; everything is not official until that letter comes out).</p>
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<p>Honestly, I don&#8217;t expect it. There are a lot of other people better than me. Let me recap everything&#8230; There are 17 people in Training/Selection Camp 2, including me. 9 people were from last year&#8217;s camp (automatically advance here) and 8 are new from Camp 1 in October last year. I&#8217;m one of the new. In the tean of six that made it, at least one is from Camp 1 (guaranteed spot). The resulting team has two from Camp 1, I&#8217;m one of them. Among the new ones, I would rank myself fighting for Top 5, but would be somewhere around #3. So that&#8217;s surprising that I got a spot, and neither of those that I project above me made it.</p>
<p>In case youre wondering, here&#8217;s the list from the rumors:<br />
Tobi Moektijono<br />
Ahmad Zaky<br />
Stefanus<br />
Bivan Alzacky<br />
Ivan Adrian Koswara<br />
Fransisca Susan</p>
<p>There. Now you get my real name down to six possibilities. Ouch. Meh whatever.</p>
<p>Assuming it&#8217;s true, then I would be focusing to IMO a lot. That means this blog will be significantly more&#8230;dead than it was. Is something can be &#8220;more dead&#8221;? Whatever. Don&#8217;t expect puzzles and non-math contents to pop up often, at least until IMO 2012 finished.</p>
<p>Speaking of math contents&#8230;</p>
<p>IMO 2009-5<br />
Let f be a function from the positive integers to itself, satisfying the property that a, f(b), f(b+f(a)-1) always form the sides of a non-degenerate triangle for all positive integers a,b. Find all such f.</p>
<p>This took three incorrect attempts (as in incorrect conclusions taken from what I know at the time), my third one wasn&#8217;t spotted by myself until a day after I found that &#8220;solution&#8221;.</p>
<p>Also, if you&#8217;re craving for some inductive logic puzzle, here&#8217;s one that might take you some time to figure out:</p>
<p>1, 10, 9, 2, 4, 3, 7, 19, 8, 11, ???, ???, ???<br />
The sequence contains all positive integers. One trillion (10^12 aka 1,000,000,000,000) appears before the 50th term.</p>
<p>And if you wonder about the answer, highlight: <span style="color:#ffffff;">90, 5, 6</span></p>
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