Results after Problem 7
The list of the contest leaders after the seventh problem:
Points 

Name 
Country 
School 
Physics teacher 
18,869 

Sabó Attila 
Hungary 
Leőwey Klára High School, Pécs 
Simon Péter, Dr Kotek László 
16,602 

Nikita Sopenko 
Russia 
Lyceum No.14, Tambov 
Valeriy Vladimirovich Biryukov 
11,576 

Jakub Šafin 
Slovak 
Pavol Horov Secondary, Michalovce 
Jozef Smrek 
11,188 

Ilie Popanu 
Moldova 
Lyceuum "Orizont", Chisinau 
Igor Evtodiev 
10,818 

Lars Dehlwes 
Germany 
OhmGymnasium Erlangen 
Martin Perleth 
8,5043 

Ion Toloaca 
Moldova 
liceul "Mircea Eliade" 
Igor Iurevici Nemtov; Andrei Simboteanu 
7,9569 

Alexandra Vasileva 
Russia 
Lyceum "Second School", Moscow 
A.R. Zilberman, G.F. Lvovskaya, G.Z. Arabuly 
7,8933 

Ivan Tadeu Ferreira Antunes Filho 
Brazil 
Colégio Objetivo, Lins, São Paulo 

7,7917 

Nadezhda Vartanian 
Russia 
Smolensk Pedagogical Lyceum 
Mishchenko Andrei Anatolievich 
7,4407 

Dinis Cheian 
Moldova 
Lyceuum "Orizont", Chisinau 
Igor Evtodiev 
7,0844 

Cristian Zanoci 
Moldova 
Lyceuum "Orizont", Chisinau 
Igor Evtodiev 
6,8529 

Jakub Supeł 
Poland 
14th School of Stanisław Staszic, Warsaw 
Włodzimierz Zielicz 
6,5644 

Kohei Kawabata 
Japan 
Nada High School 

5,8911 

Papimeri Dumitru 
Moldova 
Lyceuum "Orizont", Chisinau 
Igor Evtodiev 
5,6695 

Brahim Saadi 
Algeria 
Preparatory School for Science & Technology of Annaba 
Derradji Nasreddine 
4,2965 

Petar Tadic 
Montenegro 
Gimnazija ,,Stojan Cerovic" Niksic 
Ana Vujacic 
3,7517 

Luís Gustavo Lapinha Dalla Stella 
Brazil 
Colégio Integrado Objetivo, Barueri, Brazil 
Ronaldo Fogo 
3,4205 

Bharadwaj Rallabandi 
India 
Narayana Jr. College, Basheer Bagh, India 
Vyom Sekhar Singh 
3,1554 

Selver Pepić 
BosniaHerzegovina 
Fourth Gymnasium Ilidža, Sarajevo 
Rajfa Musemić 
3,0862 

Ng Fei Chong 
Malaysia 
SMJK Chung Ling, Penang 

2,7716 

Adrian Nugraha Utama 
Indonesia 
SMA Sutomo 1 Medan 
Manaek Nababan 
2,5937 

Mikhail Shirkin 
Russia 
Gymnasium of Ramenskoye 
Petrova Elena Georgyevna 
2,374 

Lorenzo Comoglio 
Italy 
Liceo Scientifico del Cossatese e Valle Strona 
Chiara Bandini 
2,2747 

KaiChi Huang 
Taiwan 
Taipei Municipal ChienKuo High School 
ShunJu Liu 
2,1 

Krzysztof Markiewicz 
Poland 
XIV Highschool in Warsaw 
Robert Stasiak 
2 

Teoh Yee Seng 
Malaysia 
SMJK HENG EE,Penang; SMJK CHUNG LING,Penang 

2 

Jaan Toots 
Estonia 
Tallinn Secondary Science School 
Toomas Reimann 
1,7444 

Andrew Zhao 
United States 
Webster Thomas High School 
Dykstra, William 
1,4641 

Hideki Yukawa 
Japan 
Nada high school 

1,4641 

Bruno Bento Barros de Araújo 
Brazil 
Ari de Sá Cavalcante 
Edney Melo 
1,21 

Midhul Varma 
India 
Vidyadham Junior, Hyderabad 
Manikanta Kumar 
1 

Task Ohmori 
Japan 
Nada High School 
T.Hamaguchi 
1 

Sharad Mirani 
India 
Prakash Higher Secondary School 
Ruchi Sadana, Sunil Sharma 
1 

Lev Ginzburg 
Russia 
Advanced Educational Scientific Center, MSU, Moscow 
I.V. Lukjanov, S.N. Oks 
1 

José Luciano de Morais Neto 
Brazil 
Colégio Ari de Sá Cavalcante 
Leonardo Bruno 
0,9801 

Mekan Toyjanow 
Turkmenistan 
Turgut Ozal Turkmen Turkish High School 
Halit Coshkun 
0,9 

Jôhanes Sebástian Paiva Melo 
Brazil 
Colégio Ari de Sá Cavalcante 
Eduardo Kilder; Italo Reann 
0,81 

Meylis Malikov 
Turkmenistan 
Turgut Ozal Turkmen Turkish High School 
Halit Coshkun 
0,81 

Liara Guinsberg 
Brazil 
Colégio Integrado Objetivo, São Paulo, Brazil 
Ronaldo Fogo 
0,792 

Ulysse Lojkine 
France 
Lycée Henri IV, Paris 
M. Lacas 
0,72 

Rajat Sharma 
India 
Pragati Vidya Peeth,Gwalior 
Mr. Rakesh Ranjan 
Points for Problem No 7:
3,2913 

Sabó Attila 
2,9921 

Nadezhda Vartanian 
2,72 

Jakub Šafin 
2,4728 

Nikita Sopenko 
1,7716 

Adrian Nugraha Utama 
1,7538 

Alexandra Vasileva 
1,6889 

Ilie Popanu 
1,6105 

Selver Pepić 
1,5354 

Ion Toloaca 
1,089 

Petar Tadic 
1 

Lars Dehlwes 
1 

Ivan Tadeu Ferreira Antunes Filho 
1 

Dinis Cheian 
1 

Cristian Zanoci 
1 

Kohei Kawabata 
1 

Teoh Yee Seng 
0,9344 

Andrew Zhao 
0,9 

Ng Fei Chong 
0,6561 

Jakub Supeł 
Correct solutions (ordered according to the arrival time; best solutions in bold):
1. Szabó Attila (Hungary)
2. Nadezhda Vartanian (Russia)
3. Jakub Šafin (Slovak)
4. Nikita Sopenko (Russia)
5. Alexandra Vasileva (Russia)
6. Adrian Nugraha Utama (Indonesia)
7. Selver Pepić (BosniaHerzegovina)
8. Ilie Popanu (Moldova)
9. Ion Toloaca (Moldova)
10. Petar Tadic (Montenegro)
11. Andrew Zhao (United States)
12. Lars Dehlwes (Germany)
13. Jakub Supeł (Poland)
14. Teoh Yee Seng (Malaysia)
15. Ng Fei Chong (Malaysia)
16. Ivan Tadeu Ferreira Antunes Filho (Brazil)
17. Cristian Zanoci (Moldova)
18. Kohei Kawabata (Japan)
19. Dinis Cheian (Moldova)
(The list is ordered according to the arrival time)
This list of correct solutions is ordered according to the arrival time. There are also two incorrect solutions. The number of registered participants: 259 from 44 countries.
———————–
The hints have been given as follows. For the second week: first, note that the correct solutions submitted thus far can be roughly divided into three categories: (a) fully geometric; (b) fully geometrical constructions, but some geometrical construction elements are motivated arithmetically; (c) first step is done geometrically, the next steps involve measurements (angles and/or distances), calculations, and using the calculation results for drawing. Second, keep in mind that everything you need to know for solving this problem is covered by Formula sheet Eq VI8 (however, this knowledge needs to be applied creatively).
The hints for the last 10 days are aimed to help finding the fully geometric solution and are given in the form of questions to think about. (A) Where does lay the intersection point of the images of two parallel lines? (B) Consider two infinitely distant light sources which are at an angular distance from each other. What is the angular distance between the images of these sources, as seen from the centre of the lens?
The hints for the last 7 days: use the answer to the question (A) to find one of the focal planes of the lens. On that focal plane, it is possible to mark two points P and Q the images of which are at infinity, separated from each other by an angular distance of . The centre of the lens needs to lie on a certain curve, which can be drawn using the points P and Q, together with the answer to the question (B).
The final hint for the last 4 days: if you were successful in answering the previous questions, you just need to repeat the last steps two find another curve where the center of the lens also needs to lie.
