21 Harvard-MIT Mathematics Tournament
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21st Harvard-MIT Mathematics Tournament HMMT November Saturday, November 11, 2017 November 11, 2017 Hello HMMT community, elcome to the 2017 Harvard-MIT November Math Tournament, W our 21st year running! After months of writing problems, organizing registration, and developing software, we are thrilled to see all of you in Cambridge. Whether you're joining us from Shanghai, Tegucigalpa, or Boston, we hope you're as excited as we are! We at HMMT seek to share our passion for mathematical problem- solving. While math itself remains a core piece in our mission, we see year after year that people are just are as important. Many of us helping to organize HMMT can trace our friendships to events like these, long after we have graduated. While we won't speculate why these events engender such lasting bonds, we encourage you to take advantage of this amazing opportunity. Over breakfast, between rounds, and even during our cere- monies, introduce yourself to students from other teams. Say hello to some of our sponsors in the Science Center lobby. And most importantly, thank your coaches and parents. As scholars, you're here with over 800 of the brightest, most mathematically-gifted students in the world. Who knows what you will find? As usual, all of our problems have been written and compiled by Harvard and MIT undergraduates. No matter how many of them you solve, we hope you find them both challenging and engaging. To the coaches, teachers, and parent chaperones: thank you for your dedication to helping your students compete. We have a talk by Po-Shen Loh that will be specifically aimed at parents, coaches, and proctors, and we hope you find it engaging. There will be a guts round viewing room available as well. To help navigate the campus, we have included a map inside the pro- gram and posted signs to direct you around Harvard. Moreover, all teams' room assignments can be found inside the program. Should you have any questions, comments, or concerns, please don't hesitate to ask an HMMT staff member (dressed in pink HMMT shirts) for help. Whether this is your first or fourth HMMT, we hope that you enjoy the tournament we've put together. Good luck today, and above all, have fun! Regards, Andrew He Ashwin Sah Nathanael Cho Michael Tang Tournament Directors Yannick Yao November Problem Czars Teams and Room Assignments Building Codes: YC Aud. = Yenching Auditorium, SC = Science Center, Sv = Sever Nickname Organization Indiv. Team Guts Awards ACM ACM SC 309 SC 309 SC D SC C Stevenson Adlai E. Stevenson SC 310 SC 310 SC E SC C High School AAMC Cards Albany Area Math SC C SC C SC C SC C Circle AHS Albemarle High YC Aud. YC Aud. SC B SC B School Almaty 1 Almaty SC E Sv 214 SC D SC C ASFG american school YC Aud. YC Aud. SC B SC B foundation of guadalajara AMSA1 AMSA Charter SC D SC D SC C SC C School AMSA2 AMSA Charter SC D Sv 112 SC C SC C School Warriors Andover High School SC E SC E SC D SC B Austin Math Austin Math Circle SC B10 SC B10 SC D SC B Beijing BDF Beijing Math Circle YC Aud. Sv 209 SC B SC B Team De Belmont High School SC 309 SC 309 SC D SC C BCA 1 Bergen County SC B SC B SC A SC A Academies BCA 2 Bergen County SC B Sv 103 SC A SC A Academies BCA 3 Bergen County SC B Sv 106 SC A SC A Academies Bucky Buckingham Browne SC C SC C SC B SC B & Nichols School Dayz Buckingham Browne SC C SC B SC B SC B & Nichols School CATS Cheshire Academy YC Aud. Sv 210 SC B SC B Seq Chicago Chicagoland SC B Sv 202 SC A SC A Corollaries Comm A Commonwealth SC C SC C SC C SC C School Comm B Commonwealth SC C Sv 111 SC C SC C School CA1 Concord Academy SC D SC D SC B SC B CA2 Concord Academy SC D Sv 202 SC B SC B Building Codes: YC Aud. = Yenching Auditorium, SC = Science Center, Sv = Sever Nickname Organization Indiv. Team Guts Awards Chen One Concord Carlisle SC D SC D SC C SC C High School Smurfs Concord Carlisle SC D Sv 203 SC C SC C High School CASLV Falcons Coral Academy of SC B10 SC B10 SC E SC B A Science Las Vegas GMinor Deerfield Academy SC D Sv 201 SC B SC B Green Deerfield Academy SC D SC D SC B SC B EB Circle East Brunswick High SC C SC C SC C SC C School EB Square East Brunswick High SC C Sv 109 SC C SC C School Jesters Emma Willard YC Aud. YC Aud. SC B SC B School FMC Fairfax Math Circle SC 222 SC 222 SC E SC C GVMathClub Garnet Valley High SC B SC B SC B SC B School Gauss Math Gauss Academy of SC B Sv 107 SC A SC A Mathematical Education Gauss Tiger Gauss Math Circle SC B Sv 206 SC B SC B MKS High Technology SC A Sv 213 SC D SC B High School ICAE1 ICAE SC C SC C SC B SC B ICAE2 ICAE SC C Sv 110 SC B SC B IM-1 Ideamath SC D SC D SC B SC B IM-2 Ideamath SC D Sv 203 SC B SC B Individual 1 Individuals SC A SC A SC C SC C Individual 2 Individuals SC A SC A SC C SC C Individual 3 Individuals SC A SC A SC C SC C Individual 4 Individuals SC A SC A SC C SC C KentCT Kent School YC Aud. Sv 211 SC B SC B Kents Kents Hill School YC Aud. Sv 210 SC C SC C KGV King George V SC E Sv 214 SC D SC B School LVMC-A Las Vegas Math SC B Sv 207 SC C SC C Circle LVMC-A2 Las Vegas Math SC B SC B SC C SC C Circle Building Codes: YC Aud. = Yenching Auditorium, SC = Science Center, Sv = Sever Nickname Organization Indiv. Team Guts Awards LCA1 Lexington Christian SC 221 SC 221 SC E SC C Academy Lex Delta Lexington High SC B Sv 111 SC A SC A School Lex Epsilon Lexington High SC B SC B SC A SC A School Lex Gamma Lexington High SC B Sv 102 SC A SC A School Big L Club Livingston High SC C Sv 110 SC D SC A School Math Team Little L Club Livingston High SC C SC C SC D SC A School Math Team LAMC A Louisiana Math SC C SC C SC A SC A Circle LAMC B Louisiana Math SC C SC B SC A SC A Circle LAMC C Louisiana Math SC C Sv 107 SC A SC A Circle ML Martin Luther High SC B10 SC B10 SC D SC C School Golden Eagles Middlesex County YC Aud. Sv 208 SC C SC C Academy MWM Midwest Math Circle SC E Sv 214 SC D SC C (H)(MMT) Milton Academy SC C Sv 106 SC C SC C H(a)MMT Milton Academy SC C SC C SC C SC C H(y)MMT Milton Academy SC C SC B SC C SC C MBHS 1 Montgomery Blair SC C SC C SC A SC A High School MBHS Two Montgomery Blair SC C SC B SC A SC A High School Moses Brown A Moses Brown School SC D Sv 206 SC B SC B Moses Brown B Moses Brown School SC D Sv 207 SC B SC B T1 Mystic Valley SC 222 SC 222 SC E SC B Regional Charter School (MVRCS) NNHS-C Naperville North SC B SC B SC C SC C High School NNHS+C Naperville North SC B Sv 110 SC C SC C High School Algebros Nashoba Regional SC 309 SC 309 SC D SC B High School Building Codes: YC Aud. = Yenching Auditorium, SC = Science Center, Sv = Sever Nickname Organization Indiv. Team Guts Awards NNHS Tigers Newton North High SC A Sv 213 SC D SC C School Fermat Newton south SC B Sv 208 SC A SC A NHSMT 1 NH State Math SC C SC C SC B SC B Team NHSMT 2 NH State Math SC C SC B SC B SC B Team NHSMT 3 NH State Math SC C Sv 106 SC B SC B Team North Georgia A North Georgia A SC B Sv 209 SC B SC B Jeju North London YC Aud. Sv 208 SC B SC B Collegiate School Jeju NHS A Northview High SC 309 SC 309 SC D SC B School OH Ohio ARML SC B Sv 112 SC B SC B Andover A1 Phillips Academy SC B Sv 106 SC C SC C Andover A2 Phillips Academy SC B SC B SC C SC C Andover A3 Phillips Academy SC B Sv 102 SC C SC C PEA IdeaMath Phillips Exeter SC B Sv 103 SC B SC B Ci Academy PEA IdeaMath Phillips Exeter SC B Sv 101 SC B SC B Un Academy PEAK Phillips Exeter SC B Sv 102 SC B SC B Academy PEAR Phillips Exeter SC B SC B SC B SC B Academy PEAT Phillips Exeter SC B Sv 104 SC B SC B Academy PVMT 1 Pleasant Valley High SC C SC C SC D SC A School PRISMS Eyas Princeton SC B Sv 105 SC B SC B International School of Math and Science PRISMS Falcons Princeton SC B Sv 104 SC B SC B International School of Math and Science Princeton Lion Princeton Math YC Aud.