2022-P5 Best Solutions and Final Results

Problem 5 – Satellite

By the end of the competition, there were 1146 registered participants from 80 countries. In total, 55 solutions were submitted for problem 5, out of which 28 were correct.

As usual, when selecting the best solutions, preference has been given to those solutions which have been submitted before the publication of the first hint. Overall, there were 14 such solutions. Out of those, the pre-screening passed those whose were either typeset digitally or written with clear legible handwriting – most of the solutions passed this pre-screening. The next criterion was how well it was motivated that both emissivities need to be equal to 1. In many solutions, it was done numerically which was not optimal, because showing it analytically was not that difficult. As a result, only six solutions were left. Actually, out of those six, in two solutions it was somewhat sloppy how they handled the emissivity of the hot side; those two solutions (By EFAG and SS) are, however, still included in the list of the best solutions, because each of them had their own additional merits, see below. All the bonus scores are equal to 1/6.
Vlad-Stefan Oros
Zhening Li & Eddie Chen
Shofar Sno – solved analytically 4th order algebraic equation!
Emerson Franzua Aldana Gavarrete – found the numerical solution by hand-computing
Dženan Midžić
Sebastián Arévalo


Final results for Problem 5

University students

First nameSurnameCountrySchool/UniversityP5 Score
Zhening LiEddie ChenCanada/United StatesMassachusetts Institute of Technology3.0641
Bayram AlpSahinTurkeyBogazici University2.3579
ShofarSnoSurinameAnton de Kom University of Suriname2.187
MarinusLehmannGermanyUniversity of Potsdam2.1436
RicardoOchelGermanyHeidelberg University1.7716
ZiyueWangChinaHebei University of Technology1.53
IsaacWuAustraliaUniversity of Melbourne1.331
AlessandroRezziItalyUniversity of Padova1.3177
JaroslavHermanCzech RepublicCharles University1.21
YuechenZhuChinaPeking University0.99
RicardsKnipsisLatviaUniversity of Manchester0.9
KevinYouUnited StatesCarnegie Mellon University0.9
QianLinChinaUniversity of Oxford0.9
Ameya VikramaSinghIndiaIndian Institute of Technology Bombay0.8
SoumyadeepSarmaIndiaIndian Institute of Science0.63
Cheng WeiLinTaiwanNational Cheng Kung University0.45

Pre-university students

First nameSurnameCountrySchool/UniversityP5 Score
Vlad-ȘtefanOrosRomania“Grigore Moisil” Theoretical High School3.0641
DženanMidžićBosnia and HerzegovinaJU Gimnazija “Bihać”2.7856
Emerson FranzuaAldana GavarreteHondurasSchool2.5324
SebastiánArévaloEl SalvadorInstituto Emiliani2.0929
LucaMilaneseItalyLiceo “Leonardo da Vinci”, Terracina1.9487
GigiTsirekidzeGeorgiaLEPL Kutaisi Andria Razmadze physics and mathematical public school N411.3177
ChengkaiYuChinaThe High School Affiliated to Renmin University of China1.3045
SarthakPandaIndiaFIITJEE Bhubaneswar1.0648
VukHipSerbiaMathematical Grammar School0.8712
Miguel IsaíasDoradea MeléndezEl SalvadorInsituto Emiliani0.5
FilipVučićCroatiaI. gymnasium Zagreb0.495

Participating countries: Algeria, Azerbaijan, Australia, Bangladesh, Belarus, Belgium, Bosnia and Herzegovina, Bolivia, Brazil, Bulgaria, Cambodia, Canada, China, Croatia, Czechia, Egypt, El Salvador, Estonia, Finland, Georgia, Germany, Greece, Hungary, India, Indonesia, Iran, Israel, Italy, Japan, Kazakhstan, Kenya, Korea, Kyrgyzstan, Latvia, Lebanon, Lithuania, Macedonia, Malaysia, Mexico, Moldova, Mongolia, Nepal, Nigeria, North Macedonia, Pakistan, Peru, Philippines, Poland, Romania, Russia, Saudi Arabia, Serbia, Singapore, Slovakia, Slovenia, South Africa, South Korea, Spain, Sri Lanka, Sweden, Switzerland, Syria, Taiwan, Thailand, Turkey, Turkmenistan, United Arab Emirates, United Kingdom, United States, Uzbekistan, Vietnam.