PROBLEMS 2 AND 5 ON THE IMO’2019 PAPER.

The aim of the present note is to discuss Problem 2 and Problem 5 on the IMO’2019 paper. The 60th edition of the International Mathematical Olympiad (IMO) took place in the city of Bath, United Kingdom, 11-22 July 2019, with the participation of 621 students from 112 countries. The event is the most prestigious scientific Olympiad for high school students. Problem 2 and Problem 5 are of mean difficulty on the paper. Problem 2 was solved frilly (7 points) by 98 participants, 92 students were marked with 6 points, 3 with 5 points, 6 with 4 points, 6 with 3 points, 30 with 2 points, 135 with 1 point and 251 with 0 points. The mean result of all the 621 participants in the Olympiad is 2,399. Analogously, Problem 5 was solved frilly (7 points) by 250 participants, 3 students were marked with 6 points, 7 with 5 points, 5 with 4 points, 12 with 3 points, 168 with 2 points, 20 with 1 point and 156 with 0 points. The mean result of all the 621 participants is 3,567. [ABSTRACT FROM AUTHOR]