Wednesday, April 25, 2007

USAMO!

Whew - this week has been crazy. And I think we all know why ... it's USAMO time! Or was ...

Fortunately, I was able to talk to Messrs Block and Micek, and negotiated my ability to take the USAMO, but at great cost. The first day I had to take the USAMO in Micek's classroom ... while freshmen were taking the STAR testing. They were loud, to say the least, and I could focus only with great difficulty, at least until 12:20 (3:20 ET - that is, 1:40 before time was up) when the freshies left. (But don't worry, I didn't break any rules - I was proctored and I didn't chat.) This may explain my relatively poor performance on Day One.

The second day was easier, as I was able to negotiate taking the test in the library (don't worry, oh eagerly pissed-off USAMO graders, I was indeed proctored), and I performed much better. Big surprise.

I was quite out of shape mathematically. I had only started practicing seriously for the USAMO about a month before, and I couldn't seriously hope to do very well with so little practice. Of course, taking old tests is a little pointless if you can't solve a single problem... ;) In this regard, I think I did much better than I expected - in the immortal words of Ubemaya, "my goal is a non-negative score, although I'd be happy to get a negative score also."

My equipment wasn't the best either. The first day I took my dad's expensive Byelorussian sketching kit, but unfortunately the compasses there were rather dull, as they had not been used for quite awhile. Keeping this in mind, I took my own, much smaller compass set the next day, only to understand why I hadn't taken it the first day - the quality was so bad that I could hardly use them, and the set did not include a protractor, just when I needed one (for problem six, I finally had to resort to constructing right triangles on graph paper and then tracing 60 degree angles to draw a neat equilateral triangle). Once again Staedler's quality shows me why those guys should just stick to making erasers ...

But enough about working conditions. Time to talk about the problems!

As I mentioned earlier, I didn't do too well on the first day, partly because of the friggin freshmen, and partly because of my own stupidity of course. I immediately jumped ahead and solved the second problem, taking something like two hours to write up an incredibly neat, incredibly detailed solution - only to realize after faxing the solutions that I was supposed to find a circle with radius sqrt(2)/2, not a square with side length 1! Well, I hope I'll get two or three points, because other than this my solution is a pretty good one. Next, I attacked problem one, finding out some facts and then hitting a brick wall - I submitted some hastily done formulae in hope of maybe one point. And problem three - that I could hardly understand, let alone find a way to solve. Total for Day One: 3-4 points of a possible 21.

The second day I performed much better. I solved Problem Four satisfactorily, for six, maybe even seven points. The great thing about Problem Four was that it asks for an answer - 8025 - so I KNOW I got the problem right! =) And I proved the equilateral equality for #6, though I did not make any headway into proving the general inequality: I'm hoping for one or two points for the equality. Problem Five I stared at and stared at, but couldn't solve, as, I imagine after seeing the solution, neither could 99% of test takers. Total for Day Two: 7-9 points of a possible 21.

So, in total I got 10-13 points, which isn't bad at all for someone who expected to get zero (see my previous post for details about all that). After a little practice, and hopefully without interference from pesky freshmen, I may even qualify for MOP next year! (18-20 points needed to qualify for sophomores and juniors)

Sunday, April 22, 2007

USAMO?

By an unfortunate coincidence, the two 4.5-hour days of the USAMO fall right in the middle of standardized testing week. To add to the problem, Mr. Micek won't be able to proctor me this time, and I'll need web access to download the problems. And suspiciously, the vice principal, Mr. Block, always seems to be in a meeting when I come by the office, and doesn't respond to my emails either. Well, tomorrow's the day before the first day of the USAMO, so I'll have to get some answers from him, even if I have to camp out outside the office.

Of course, my practice test scores are rather depressing. By a very lenient scoring system, I give myself:

0
3
6 (must've been an easy year ;) )
3
3
0
2

Keep in mind that I'm practicing off old tests (4.5 hours / 5 problems), as opposed to new ones (9 hours / 6 problems). And I should remind my readers that the olympiad starts the day after tomorrow. Hopefully that gives an indication of how screwed I am >.<

Sunday, April 08, 2007

Spring Break!

Yes, Spring Break is here. But it won't be all parties for me, thanks to, you guessed it, Euro AP! As I mentioned in my previous entry, we are picking up the pace in Euro, but I never expected it to reach this level: over Spring Break we have to (1) write a 20-30 page report on the Cold War, (2) read "All Quiet on the Western Front" and write a 5 page review, and (3) reread 700 pages of our Euro textbook. All in one week! Ugh.

As if that weren't enough, it turns out that I qualified for the USAMO, something I have mixed feelings about. On the one hand, it's quite an accomplishment to make it there, but on the other hand, now I have to start practicing, so that I won't embarrass myself with a zero (which seems to be the median score on the USAMO >.<). So that's something like 5 hours Euro, 1 hour math already partitioned out each day. I'm losing almost half of my waking, non-eating hours!

The good news is that I still have half of spring break to call my own. ^_^ Some stuff that I'm working on:

- My site. I'm hoping to finish my new website by the end of Spring Break. I'm almost done already, so it shouldn't be too tough.

- European Chess. Ah, there's a lot of stuff going on here. First, Round 2 of the Design Competition just ended, so I have to add 3 countries, and edit a few more (people started complaining about Iraq and Mafia being too strong, and Prussia and Gaul too weak, so I'll have to balance them). Also, John wants to start a European Chess tournament next week, and although he promised to organize it himself, it'll still be a lot of work to keep up-to-date results on the website (a job that, of course, falls to me).

Now that European Chess is out and about on the Internet (a forum spam campaign on my part did a fairly good job of spreading the word), our biggest concern now is obtaining a patent. Apparently, we have less than a year to apply for a patent, or else European Chess falls into the public domain. Unfortunately, patent costs are monstrous (literally in the 5-digits), and being high school students we have nowhere near that kind of money. Our best bet is to somehow get Fienberg's uncle to provide us legal aid for free and then apply for a provisional patent, using our extra year to obtain the ~$3,000 we'll need outside of legal fees. Either that or give up, which I admit is an appealing option.

- One last item of the day: During Spring Break, and pretty much until mid-May, I have very little free time, so naturally I don't really have time to play most games, but there is one online game that takes very little time (~10 min. a day) and is incredibly addictive. I'm talking, of course, of Diplomacy, the board-game sensation that, thanks to phpDiplomacy.net, is now invading the Internet. After playing a game online with a few of my friends, I took the next step and formed what may be the first online Diplomacy league: "Donkeys United". Blatant ad: Have you got what it takes to join? Make an account on my forum and PM me for an invitation! Heh, just had to put that in.

Well, that concludes my first (and perhaps last) post during Spring Break. Ciao!

Wednesday, March 28, 2007

School is pain. AP exams = very yes.

The title says it all.

Euro is going nuts, with some 2 hours of mandatory studying every night now, in addition to many lunch periods and 7th periods sacrificed for "optional" videos and DBQ practice. To be fair, it is partly my fault - in February, at the start of second semeste, Mr. K asked if there was anything we would like to change in the class. Seizing the opportunity, I proclaimed that there shalt be no mandatory outlines, and it was so. Somebody else - whose name shall not be uttered - did cry out against the projects, saying "it shalt be not so," and it was declared that there shall be no mandatory outlines or projects. And then it all collapsed. We became lazy, we failed our quizzes and tests even more than what's regular for Euro (although oddly enough, I didn't change, but that's just me), and with the AP coming up, we were grossly underprepared. Finally, Mr. K made us an ultimatum last week: if we wanted to pass the AP exam, we must play by his rules, which meant even longer hours than first semester, and a return of the dreaded projects. Furtunately, I was able to set up a forum for our Euro class on Mr. K's behalf, which proved to be a good idea, as we are now able to coordinate our study and work together on class projects. Nevertheless, Euro is really becoming painful now.

But speaking of painful in the literal sense, while studying for the AP Bio test (ridiculous really, the chapters were longer than ever, and we needed to memorize the functions of 30 different hormones), I stayed up so late that when I woke up my leg was sprained so much I had to spend the morning of the test practicing walking again. (I don't know how staying up late has a connection to leg pain, but my parents assure me that it does.) It was getting better, but then we had to run two miles in the rain, a run that in retrospect I should probably have just asked to make up. My leg did not like that run at all.

Even Statistics, the easiest AP in the school, is picking up the pace now. For the first time, I actually have to work hard on the homework, and the tests are becoming challenging as we are getting ready to "battle the APE".

And to add to all that, the USAMO math olympiad is coming up in late April, and I have no idea how to study for it, or indeed, if I even qualified (though I'm fairly sure I did). The unanimous advice on how to prepare is practice, practice, practice, but there's really nothing like the sensation of sitting down, reading a test, working on it, and eventually coming to the conclusion that you can't solve a single problem. >.<

There's plenty of other topics I wanted to write about, but I really want me leg to get better, so perhaps I should stop while it's still 10:28 (by some miracle, there was little homework today; it's the first time in a week that I'm going to bed before 11 o'clock).

Tuesday, March 13, 2007

AIME

Took the AIME today. It was harder than I anticipated, but I still managed to answer 7 problems correctly (6-7 will probably by the cutoff, so I probably qualified for the USAMO ^_^).

I'm not allowed to discuss problems yet, so that'll have to wait for a later post.

Sunday, March 11, 2007

Some Weight Off My Back (Literally and Figuratively)

Today was a pretty good day, because I finally took my CM piano playing test today (I passed with honors! Yay!), which I've been stressing out about for about a week. After the AIME math exam that I take this Tuesday, I will be free of all worries other than schoolwork ... until late April/early May, when I will suddenly be attacked by the ferocious onslaught of 3 APs, an SAT and maybe an SAT II, and the USAMO (if I pass the AIME). Ouch.

After the piano test, I helped some family friends move. Moving is hard work. Especially on a day as hot as today. Ouch.

Tuesday, February 27, 2007

European Chess

ChessVariants.org : European Chess

As you may know, I am vice president of my school's Chess Club. And one of my duties as VP is researching new chess variants (ok, maybe it isn't my duty, but I do it anyway). This is the story of how I (not quite singlehandedly) designed a chess variant so popular that nobody in our Chess Club plays regular chess anymore.

"Chatanooga"


I was researching four-player chess games, because I felt that our club needed a multiplayer game. Bughouse isn't bad, but the players are rather detached, because you can only play one opponent at a time. I immediately dismissed all of the variants that required a special board; all we have in our club are the standard 8x8 boards. Bastardo looked interesting, but I felt that it started out too cluttered, with not enough wiggle room for your pieces. Finally, I noticed Chaturanga for four, and immediately was captivated by its elegance and fun. However, some of the rules were ancient, and in need of revision; I took a Chaturanga modification - ZM Machiavellian Chess - and played around with it a bit, and created ... Chatanooga.

Ok, maybe it wasn't as heroic as that. The real story was something along the lines of: I read about both Chaturanga and ZM Machiavellian Chess, but by the next day it was all mixed up in my head. The game I showed to the club that day was an odd mixture of both games, with a name as mixed up (unintentionally of course, you can see how mixed up my brain was, for me to mistake Chaturanga for Chatanooga. But I have a REALLY bad memory >.<). The club loved it. Well, the four people that played it loved it, the rest was too busy playing standard chess.

What exactly are the rules of "Chatanooga"? It's a sort of a mix of Chaturanga and ZM, closer to ZM, but with some differences: Play always goes clockwise with no exceptions (this occasionally enables players to prevent another player's checkmate), there is no king promotion, castling, or en passant, and captured armies are merged into one.

But Chatanooga is unimportant at this point, merely a stepping stone to much more exciting game that was to come ... European Chess.

The First Design Sessions


After a week or two of Chatanooga, we were getting a bit bored: because you only have 8 pieces, you eventually get tired of having the same arrangement: King, Rook, Bishop, Knight. One day, my friend John and I were experimenting with different rearrangements of the starting position. We finally agreed that the current one was the strongest.

But then I had an idea: "What if there were several different arrangements and you could pick yours? And because some are stronger than others, why don't we give special powers to the weaker ones to make it fair?" The first army I made was, I believe, an early form of Russia, with a queen, but pawns that can run away from you given the chance. John made up Austria, with three knights that automatically destroy any piece they flank. Early forms of Britain, France, the Holy Roman Empire, and Prussia also made their appearance at that first design session: those, I believe, were our first six, and all underwent significant changes, except for Austria, which has stayed the same for the history of the game.

That evening, I thought long and hard, and finally typed up the original 13 armies: Britain, France, Spain, Portugal, Italy, Switzerland, Netherlands, Holy Roman Empire, Austria, Prussia, Sweden, Russia, and the Ottomans. These, with the addition of Poland, which was to come later, constituted our first "block": 18th century Europe. At the next chess club meeting, these powers were a hit, with different players developing strategies for different powers (my favorite among these were Switzerland and the Netherlands). It should be noted that some of these powers were very different from their modern incarnations, particularly France and Spain, who had very wimpy powers at that point (they revolved around protecting the king).

European Chess Expands


About a week later, John single-handedly created 12 new armies and created a second "block": "Classical Chess". And a few days after that, I created our third and last block, "Modern Chess". At this point, we had 36 armies, 12 in each block. We later added three new ones - Poland to European Chess, and Canada and Law Enforcement Agents to Modern Chess - to obtain the 39 we have today.

However, we ran into a problem: the powers in Modern Chess, such as Iraq, North Korea, and Terrorists, seemed much too powerful compared to those in European Chess and especially Classical Chess. Rather than weaken the Modern powers, we decided to make the game slightly crazier by instead strengthening the others, and so came the period of "The Great Tweaking" - over the next month, we went and attempted to balance the game out more, completely changing several powers in the process.

This post-tweaking set proved incredibly popular in our chess club, more so than any other set, and so this is the version of European Chess we play today. It is also the version that we submitted to ChessVariants.org.

Where Are We Headed?


What's next on our agenda? Quite a few things, actually.

We're thinking about publishing European Chess, although we haven't quite decided on the specifics (our best plan would probably be to publish online, as this gives us the most control over the process). Fortunately, Michael's uncle is a patent lawyer, so I hope we won't have any legal difficulties in the future.

Also, we've got to work on changing the name: the game is not very European anymore, with the addition of the Classical and Modern blocks. However, the best we've been able to come up with is "Global War Chess" - we have to work a little harder on this.

Meanwhile, we've decided to have a little fun by starting a design competition for creating new European Chess armies. The submissions need not be historically accurate, and I'm very happy with the 16 very creative armies that we've received so far. The competition is open to anyone, so feel free to participate!

After the design competition, we plan to have two separate groups of armies: core and expansion. The core armies are the base 39, the first three blocks. The expansion armies are the design competition winners, and guess where they can be used - in expansions! ^_^

How can you help? Show European Chess to all your friends and family! :P

Links and Goodies


Man, that was a long post, and those who trudged through it should be rewarded. Here are some never-before-seen early European Chess designs that I just found after two hours of searching through three computers. Prior to this day, they have only been seen by a few chess club members; this is the first time that I'm posting them online.


  • - 11/28/06: The very first draft, only 11 armies. Note that the early Spain concept would later be recycled into Terrorists.
  • - 11/29/06: The second draft, after one day of playtesting. 13 armies (added Portugal and Sweden), and changed a few others. Also added a rather unwieldy two pages summarizing the rules of Chaturanga.
  • - 12/1/06: The first draft after John gave me Classical Chess. 25 armies. Note that the Classical armies are very unbalanced at this point - some are very strong, others are very weak.
  • - 12/5/06: The first draft after I added Modern Chess. 37 armies (added Poland and 11 modern). The Modern armies are quite unbalanced at this point - they are much stronger than the European and Classical armies.
  • - 12/6/06 and 12/8/06: Same as the previous one, but with some tweaking.
  • - 01/21/07: The first version that I submitted to ChessVariants.org. The armies are almost at their present state. 38 armies (added Law Enforcement Agents; Canada was to come later).

The very latest rules can be found here. Also, be sure to check out our design competition!

Thursday, February 22, 2007

AMC - the longer post

Yesterday, I came to the AMC12 very prepared indeed: I forgot to bring a calculator (had to use a friend's, which kinda screwed me up), a ruler (the only one Mr. M had was 4 feet long), a compass and protracter, and graph paper (got lucky - found a sheet of graph paper in Mr. M's scratch paper pile, proclaimed, "I hit the jackpot!").

When I came to the testing room (Mr. M's room - he also happens to be my Stats teacher) after school, I expected three, maybe four people other than myself there. To my surprise, there were a total of six AMC10 takers and four AMC12 takers (including myself), some of whom I didn't even know. These numbers are about the same as last year, but this year we had the disadvantage of only having one test day (we have only the geniuses behind the High School Exit Exam to thank for taking away the AMC A). Yesterday also happened to be a practice day for the tennis team; we lost about five kids due to that.

It is interesting to note that other than myself, every single test taker paid that very day (we - well, not me of course - had about two week's notice of the AMC). Several paid right before taking the AMC, and Mr. M even let two take the AMC12 without paying (they promised to pay the next day, but I have doubts about that).

Anyways, my lack of proper tools did hurt me, but not as bad as I originally thought. I won't discuss individual problems yet - not sure if I'm allowed to - but this year's test was different from last year's. Call me crazy, but I think that the easy problems were easier, and the harder problems were harder this year, which of course is not a good sign.

I solved 18 problems - not very good - but, after comparing answers with Bob, to my surprise I found that I solved all 18 right, giving me a solid 118.5 score, more than enough to make it to the AIME.

I'm going to be busier than ever now. The AIME is coming up, and after that I have about a month break before the APs. And maybe an SAT or two. Yup, my free time is gonna be severely limited...

Wednesday, February 21, 2007

AMC Day

Took the AMC12 today. Can't write anything more right now, partly because I'm not supposed to discuss details the day of the test, partly because I have to write an Euro essay about a video that I didn't see due to the AMC... >.<

Sunday, February 04, 2007

End of Semester One

Semester One report cards have been sent, and Semester Two has formally begun. Some reflections (compare to my first quarter reflections):

AP Statistics - B. I started the year horribly, because I missed quite a few big homework assignments, but I managed to bring it up to a B thanks to high test scores.

AP European History - A-. Miraculously, I have kept my A in what is considered to be the hardest class in our school.

Spanish II - A-. 200 extra credit points helped me out a lot in this class.

AP Biology - B. I had an borderline A first quarter, but then I did poorly on some tests, and had an 86% near the end of the semester. By some calculations, I needed exactly 100% (200/200 points) on the final to get an A in the class. We took the essay final a week before the multiple choice final, and I did not get 100% on it. Knowing that your grade will be the same no matter what you do is a great feeling though, a feeling that I had for all of about three days... ^_^

Honors English II - B+. I kept track of my grades all semester, and by all accounts I should have an A. But I don't.

PE II - B. Eh. P.E.

Now that finals are over, I do have more free time, but unfortunately, the AMC is coming up (we're only having one this year ... @#$%^@#$% High School Exit Exam interfered with the AMC A), so I gotz ta study for that. I did start work on me new site, but again, AMC means I don't have a timetable for its completion.

Friday, January 26, 2007

Phew!

The reason that I haven't been posting much for ... I dunno, last three weeks or so ... is that I had to study my tuchus off for them midterm exams. Now that this week is finally over, and I have a three day weekend with (virtually) no homework, I feel relieved, to say the least. Now I finally have the energy to devote to other things, which I may describe in later posts. Meanwhile, I gotta go enjoy my freedom while I still can.

Sunday, January 07, 2007

Reflections

[00:24] Alex: don't tell me you're up at this hour?
[00:24] Bob: go to sleep

Well, my parents are at a wedding (my second cousin, who, for some reason, forgot to invite me), and I assume that it's common courtesy to stay up until they get back (am I right? :P). So, seeing how it's the new year, let me take this time to reflect on the year 2006.

Uh-oh. I just realized I can't remember back that far. Curse my complete lack of any long-term memory!

Well, let me try something a bit easier: can I look back on winter break? After all, school starts again this Monday.

Let's see, this winter break I managed to:

Well, that's about it, the long and short of it. Worth using up most of my winter break on the above items? Dunno.

Saturday, December 30, 2006

I have family in Argentina?

Today was a fairly normal day, until I suddenly got an email from a certain Andrea Nisnevich in Argentina. It turns out that there is a Nisnevich family living in Argentina! Our stories seem to match up reasonably well - we're from Belarus and they're from Kiev,Ukraine - but my parents have never heard of any family members living in Argentina. Now, the chances seem low but Nisnevich seems to be a very rare surname, leading me to suspect that we are related, albeit rather distantly. Searching on Google I came across a classical guitarist named Gregory Nisnevich and one or two (you may laugh, but it's hard to tell!) semi-famous mathematicians with the surname of Nisnevich. Could this all be one family? I'm not sure...

Note to any readers: If your surname is Nisnevich (hey, it's possible), be sure to shoot me an email! (alex.nisnevich@gmail.com) I'm still trying to put the pieces of this puzzle together. ^_^

Thursday, December 28, 2006

Preparing (somewhat unsucessfully?) for the AMC

One of the things I really have to catch up with this winter break is preparation for this year's AMCs. Unlike last year, where I took both the A and the B exams (10A and 12B), this year our school is only hosting the B (stupid high school exit exam getting in the way of everything... completely pointless if you ask me >.<), which means I only have one shot to make it to the AIME. Nevertheless, I am fairly confident about the AMC - today I scored 114 (out of 150, 100 and higher qualifies) on a practice test, so I think I'm all set for that. However, for the AIME... let's just say this is looking to be a repeat of last year (5/15, due to 4 rather careless errors) - I scored a miserable 2 on a practice test, again because of carelessness on my part. Granted, I haven't had any practice since this summer, but still... Looks like I've got a lot of work ahead of me... ;)

Monday, December 25, 2006

Links

Not knowing what else to write about, let me post a list of some great sites that I discovered recently. Enjoy!

  • Dilbert.Blog - Scott Adams, the creator of Dilbert, gives a witty and comical perspective of the world

  • Order of the Stick and Sheldon - As a whole, webcomics are a rather mixed lot. But these two, in very different ways, give me a laugh every time.

  • Cosmic Encounter - One of the world's greatest board games, now in online form.

  • Ill Bethistad - Perhaps the most detailed and well-researched alternate history projects on the Web, a very realistic portrayal of what the world could be like.

  • Pandora - "The next generation of internet radio". This site takes your favorite artists, and from them, gives you a personalized radio station.

So, if you ever find yourself with some time on your hands and unsure of what to do, be sure to check these out! =)

EDIT: How could I have forgotten? Merry Christmas, for those of you who celebrate Christmas...