2048 FIBONACCI NUMBER

Those who are familiar with the standard 2048 can immediately start playing. Although you can run through the first couple of paragraphs for general development. Unlike the traditional game, where two chips with the same numbers collide to form one with a number twice as large, here the math is different.

Have you ever heard of the Fibonacci numbers? This is an ancient mathematician of the 12th-13th centuries, who, by the way, was called Leonardo of Pisa, and he was given the nickname Fibonacci later, already in the 19th century. So he discovered a sequence of numbers in which each subsequent number is equal to the sum of the previous two. Such a number series looks like this: 1, 2, 3, 5, 8, 13, 21, 34... and so on.

Fibonacci studies have shown that in nature, many objects, events, and creatures fit into this sequence. Even the shell of a snail, for example, in the radii of concentric circles has a similar ratio. By the way, the term golden mean does not mean division into two equal parts. This concept also uses the fingerprint of a number series opened by Fibonacci. If you delve into independent research, we assure you that this number series may seem magical — there are so many coincidences from the ratios of its numbers with reality. Even the technical analysis of financial markets uses Fibonacci numbers, imagine that!

Well, we will not continue to develop mathematical and magical topics, we will switch to the rules of the game. And they are simple. Move the chips on the board so that they collide. If the chips collide with numbers that are adjacent in the Fibonacci sequence (PF), they will disappear, turning into one with the number that is next in the PF. For example, if you push the chips with a three and a five, you will get one with an eight.

The name of the game encourages the player to grow a chip with the number 2048. This is your goal. Achieving it is difficult, and the process will be long. However, if you get carried away and the game goes on, then you can not stop at 2048, but aim to get the next number from the PF. By the way, what is it?