To determine a game’s complexity, you need to know whether a proposed solution can be quickly checked. These are, in a sense, the most difficult of all tasks. As it turns out, the card game Magic: The Gathering belongs to this category: game situations can arise in which it is no longer possible to decide which of the players will win (even under optimal conditions). For example, there are computational problems where it’s unclear if a computer will ever arrive at an answer it can keep calculating forever without arriving at one. To sort mathematical tasks into different levels of difficulty, theoretical computer scientists have introduced the concept of so-called complexity classes. In other words, how difficult is it for a computer to form a certain number of three-candy chains if the machine is given a set maximum number of candy swaps? How Complex Can Games Get? Instead he wanted to understand how complex Candy Crush is from a mathematical perspective. But unlike most other fans, he didn’t try to master the game as best he could.
He was bitten by the Candy Crush bug back in 2014. “In some ways, at least for mathematicians, looking at Candy Crush as a math problem can be as addictive as playing it,” wrote computer scientist Toby Walsh of the University of New South Wales in Australia in an article for American Scientist. Candy Crush has been criticized for having a high addiction potential-and maybe not just for its players. In part because of its simplicity, the game enjoys great popularity. For example, one goal is to form at least a minimum number of chains using only a maximum number of swaps. Different levels of the game have different objectives. Once such a chain is formed, the candies in it fizzle out, and the others above them move down. The principle of the game is simple: on a grid covered with variously colored candies, you try to form horizontal or vertical chains of at least three identical ones by swapping neighboring candies with each other.
The application was downloaded more than 106 million times in the first half of 2023, making it the second most downloaded game app during that period (after a game called Subway Surfers). Since its 2012 release, it has been one of the most popular games on Facebook and on mobile devices. Have you wasted hours playing Candy Crush Saga? You’re not alone.
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