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Croatian young students double winners of the 2016 Middle European Mathematical Olympiad (MEMO)
By Nenad N. Bach and Darko Žubrinić | Published  08/29/2016 | Education | Unrated
In team MEMO competition Croatia won perfect score

Croatian MEMO team of young mathematicians, with their two leaders on the left:
Stipe Vidak and Petar Bakić (leaders), Tadej Petar Tukara, Lukas Novak, Ivan Sinčić, Patrik Papac, Petar Nizić Nikolac (Luka Banović missing)

In individual math competition at MEMO, Croatia was the most successful country among 10 participating Middle-European countries, winning 2 gold medals, 1 silver and 3 bronze medals.

In the MEMO team competition, Croatia also won and with the perfect score; i.e., all  of Croatian students won the maximal possible numbr of points:

1. Croatia 8 8 8 8 8 8 8 8 64 Gold
2 Poland 8 5 8 8 8 8 8 8 61 Silver
3 Czech Republic 8 3 8 8 8 0 8 8 51 Bronze
4 Germany 8 1 8 8 8 0 8 8 49  
5 Hungary 8 4 8 1 8 0 8 8 45  
6 Switzerland 8 1 8 6 4 0 7 8 42  
7 Slovakia 2 4 8 8 8 0 8 3 41  
8 Slovenia 8 1 8 7 8 0 4 4 40  
9 Austria 8 1 8 0 8 0 2 3 30  
10 Lithuania 0 4 8 1 4 0 6 2 25

Luka Banović, bronze,
with the Baška Tablet behind him.
Gimnazija Andrija Mohorovičić, Rijeka
Petar Nizić-Nikolac, gold.
XV. gimnazija, Zagreb
Lukas Novak, silver.
Gimnazija Josipa Slavenskog, Čakovec

Patrik Papac, gold.
Gimnazija Dubrovnik, Dubrovnik
Ivan Sinčić, bronze.
Gimnazija Andrije Mohorovičića, Rijeka
Tadej Petar Tukara, bronze.
XV. gimnazija, Zagreb

Problems in Croatian [PDF] and in English [PDF]

Leaders of Croatian team: Stipe Vidak (affinely transformed) and Petar Bakić,
Department of Mathematics of the University of Zagreb

What is MEMO?

The Middle European Mathematical Olympiad (MEMO) is an annual mathematical competition that was first held in 2007. It is the successor of Austrian-Polish Mathematical Competition (ÖPMW / APZM), which was held 29 times from 1978 to 2006 as a competition between one Austrian and one Polish team. Now ten countries participate in the MEMO: Austria, Croatia, Czech Republic, Germany, Hungary, Lithuania, Poland, Slovakia, Slovenia and Switzerland.

Similar to the International Mathematical Olympiad (IMO), each country participates with up to six students and two team leaders. As one of the main goals of the new competition was to provide the possibility for a larger number of students to gain experience in international competitions, the teams participating in the MEMO are typically disjoint from the IMO teams of their countries. Also, MEMO is meant to prepare younger students for a future participation in the International Mathematical Olympiad, therefore students in their senior year are not eligible to be in the MEMO team.

The MEMO consist of an individual competition and a team competition, each lasting five hours. The problems are of the “olympic” type, typically divided into four areas: algebra, combinatorics, geometry and number theory. In the individual competition, the students solve one problem from each area. The team competition consists of eight problems, two from each area (although at the first two MEMOs also the team competition had only four problems). In the team competition, the students of each team solve the problems together, which gives the competition a very special atmosphere. The team part of the competition existed also at the ÖPMW / APZM, but it is otherwise a rarity in mathematical competitions.

The whole program lasts for one week. Problem selection, translation, the competition itself, and the scoring are all performed during this time. Besides the individual and team competition, the program also contains excursions and sports activities.


Amazing full score for Croatian team of young mathematicians at the Middle European Math Olympiad.
The famous Croatian Coat of Arms is on the national flag.

Gold medal for Patrik Papac
Source of the photos

Patrik Papac winning gold medal, 41 pts out of maximal possible 42 pts.

Petar Nižić Nikolac of Croatia winning gold medal

Formated for CROWN by Darko Žubrinić
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