Essays on algorithms and data structures by Ali Khalilli. Binary search, numerical methods, dynamic programming, graphs, strings. Zola 2022-02-17T00:00:00+00:00 https://invariant.khalilli.ai/tags/algorithms/atom.xml 2022-02-17T00:00:00+00:00 2022-02-17T00:00:00+00:00 alikhalilli https://invariant.khalilli.ai/blog/optimal-game-strategy/

<p>Some of the well-known CS problems, such as the choosing of an optimal game strategy, may appear to be mentally exhausting at first glance. However, like with other problems, it necessitates a certain point of view from which we must examine it. First and foremost, let us define the problem:</p> <blockquote> <p>This is a game for two players. There are an even amount of coins placed in a row, hence the row is even. There will be alternating turns. Each round, a player has the option of selecting either the first coin in the row or the last coin in the row and keeping it in his possession. If a player moves first, the goal of the issue is to figure out how much money he or she can earn with certainty up to the greatest amount conceivable.</p> </blockquote>