PC2024-P5 Best solutions and final results

Problem 5 – Water pipe

In total, 27 solutions were submitted for problem 5, of which 10 were correct. Congratulations to everyone who managed to solve it!

There were no correct solutions before the first hint was published, only one solution before the second hint was published, and three more solutions before the fourth hint was published. The best solutions were selected out of those four submissions. Three of them were explained in detail and reader-friendly (also typeset in LaTeX) – well deserving bonus points. The bonus breakdown was determined based on the time of submission (one hint is noticeably better than three hints!) and on how well the solution was explained: the bonus of 0.6 goes to Lukas Schicht, 0.25 – to Luka Passek-Kumerički, and 0.15 – to Konstantin Rodionenko.

Since the problem appeared to be very difficult, I wrote again a solution myself (JK). That solution has two parts: a fast and simple solution, and a more advanced one attempting to obtain as precise an answer as possible.

Final results for Problem 5

Pre-university students:

First nameSurnameCountrySchoolP5 date time
DD/MM/YY 00:00:00
P5 Score
Mohamad EidAl-aktaaSyriaAl saadeh school14/5/24 15:251.3306
Bahaa AldeenMelhemSyriaAlbasel Mixed High School19/5/24 16:151.12
Ilan MiheljaIvan HegedićCroatiaXV. gymnasium Zagreb, V. gymnasium Zagreb21/5/24 17:051.0718
GuyGinzbergIsraelOrt Irony Dalet Modiin2/6/24 20:440.8769

University students:

First nameSurnameCountryUniversityP5 date time
DD/MM/YY 00:00:00
P5 Score
LukasSchichtGermanyEberhard Karls Universität Tübingen22/4/24 18:154.2535
LukaPassek-KumeričkiCroatiaUniversity of Zagreb5/5/24 12:542.2019
DhruvShahIndiaIndian Institute of Science2/5/24 06:051.6977
KonstantinRodionenkoRussiaITMO University12/5/24 12:171.2837
KarloMaksimovićCroatiaUniversity of Zagreb12/5/24 21:101.0629
MarinusLehmannGermanyUniversity of Potsdam23/6/24 12:360.6523

The list of countries:
Algeria, Argentina, Armenia, Australia, Austria, Azerbaijan, Bahrain, Bangladesh, Belarus, Belgium, Bosnia and Herzegovina, Brazil, Bulgaria, Cambodia, Cameroon, Canada, China, Croatia, Cuba, Czech Republic, Ecuador, Egypt, El Salvador, Estonia, Finland, France, Georgia, Germany, Greece, Guatemala, Honduras, Hong Kong, Hungary, India, Indonesia, Iran, Israel, Italy, Japan, Kazakhstan, Kenya, Kosovo, Kyrgyzstan, Latvia, Lithuania, Macau, Malaysia, Mexico, Moldova, Montenegro, Nepal, Netherlands, Nigeria, North Korea, North Macedonia, Pakistan, Peru, Philippines, Poland, Romania, Russia, Rwanda, Saudi Arabia, Serbia, Singapore, Slovakia, Slovenia, South Africa, South Korea, Spain, Sri Lanka, Suriname, Sweden, Switzerland, Syria, Taiwan, Tajikistan, Thailand, Turkey, Turkmenistan, Ukraine, United Arab Emirates, United Kingdom, United States, Uzbekistan, Vietnam.