<p>My solution to number 7c was also a bit unrigorous. I said that the points should be placed as far away from each other as possible while making all the distances from each point to its closest neighbor equal. Under these conditions, I get that at least two points lie no further than 1/3 apart.</p>
<p>I used try to use limit in that question.Like something in calculus.But I failed. I remember I used to do another problem before.I think the answer should be 1/3</p>
<p>If you read number 7 part c carefully, you notice that it does not request that you find the actual value. It only requests that you show that 1/2 CAN be replaced by a smaller number. Therefore, you only have to find an upper bound for the number which is less than 1/2. There are various ways that you can go about doing this.</p>
<p>I got in. For the last question, 7 is right. To disprove the possibility of 6 values, you didn’t need to disprove every case. Instead, I just looked at the number of possible values eliminated by each selected ticket (since multiple tickets will share certain values after a certain number of tickets are chosen) and proved that its impossible for all chosen lottery tickets to differ enough from one another for 6 tickets to cover all 32 values.</p>
<p>Accepted to Program I, although I marked Program II as my preference. I’m still really happy though, since I was rejected last year. I didn’t even get to finish all the questions this year.</p>
<p>I’m from Illinois and I didn’t even write any competition stats. <_< I got a 97.5 on the AMC12 so I didn’t even qualify for AIME. I guess acceptances are more subjective than objective. I went to HCSSiM last year and talked about, so maybe that helped.</p>
<p>Hi! I just got accepted to Program 2 of SUMAC. This will be my first year attending. I have three questions:
What research is conducted at SUMAC? At the end of 4 weeks, will I have enough of a paper to submit to contests like Seimens or Intell? Or is it more of an “exploration”?
How strict is SUMAC on the “no laptop” policy? I know last year PROMYS had a no-laptop policy, but almost half the kids (and all the second years) brought one. The counselors were generally very chill about this. Is this the case with SUMAC? Or will my laptop be confiscated?
How strict is SUMAC on the “asleep by 11” rule? At PROMYS last year, it was pretty much “sleep whenever your eyes close”, and most students stayed up well past 3am doing problem sets/hanging out</p>
<p>1) It’s definitely more like exploration. They give you around six subjects to choose and you pick one and explore it so you can explain it to everyone else. </p>
<p>2) Some kids brought their laptops, but there is no wifi unless you have a Stanford account so it’s pretty much useless. I don’t think the counselors will confiscate it, but it might be frowned upon.</p>
<ol>
<li>It’s more like “in your room” by 11 as long as you don’t create much noise. My roommates and I stayed up pretty late, and we were ok. </li>
</ol>
<p>@numbersense: To my knowledge, Soyoung got into Program II.</p>
<p>Soooo, now that everyone who was accepted has presumably decided if they’re gonna go, I was thinking of making a Facebook group. So just shoot me a PM with a link to your Facebook profile if you have one, I guess?</p>