Yurii Shevchuk's blog

Three solutions to the Putnam's 2006 statistical problem
Three solutions to one of the problems from the Putnam's exam.
Game with a bag of chocolates
Solution to the FiveThrityEight's puzzle which includes general intuition and prove for game with an arbitrary number of milk and black chocolates.
Chaining ranges with SQL
Range is quite an unusual data structure for SQL queries and chaining these ranges is not straightforward. This article shows how to implement a solution to a very specific problem involving ranges. In addition to the solution there is a proof which shows that the proposed algorithm works for every possible set of ranges.
Analyses of the dice rolling strategies
Solution to the FiveThrityEight's puzzle which includes general proof for dices with arbitrary number of sides.
IMO 2019 and solutions to the non-geometric problems
My solutions to the non-geomertical problems from the IMO 2019
Coin flipping game from IMO 2019
Solution to my favorite problem from the IMO 2019
Iterative homogenization by elimination
Article derives algorithm which allows to find best possible approximation to a discret uniformal distribution when only elimination of the items is allowed.
The mathematical necessity for beautiful solutions
In this article, I want to share one simple problem that I've encountered in the calculus book and one beautiful result that could be obtained from it.
Expected value of the unusual game of darts
Solution for the puzzle introduced in the Numberphile video named 'Darts in Higher dimensions'
Game with 8x8 LED matrix on Arduino
A simple game I created on Arduino with 8x8 LED matrix on a single breadboard