What algorithm is used in 2048 game?

2048 — a simple game, but programming a computer to solve it it's not trivial. Minimax

Minimax

Minimax (sometimes MinMax, MM or saddle point) is a decision rule used in artificial intelligence, decision theory, game theory, statistics, and philosophy for minimizing the possible loss for a worst case (maximum loss) scenario. When dealing with gains, it is referred to as "maximin" – to maximize the minimum gain.

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Minimax - Wikipedia

is an algorithm designated for playing adversarial games, that is games that involve an adversary. In this article, we'll see how we can apply the minimax algorithm to solve the 2048 game.

What algorithm does 2048 use?

Our algorithm is based on the Expectimax algorithm, which is itself a variation of the Minimax algorithm, but where the possible routes through our tree are weighted by the probability that they will happen.

What is the logic behind 2048 game?

The objective of the game is to slide numbered tiles on a grid to combine them to create a tile with the number 2048; however, one can continue to play the game after reaching the goal, creating tiles with larger numbers.

What is the trick to score high in 2048 game?

Is there a strategy to the game 2048?

An easy way to beat the game is to keep your largest number in a corner. The way to do this is to keep the row or column filled with other numbers. This guarantees it will not move while you move around the other numbers.

AI learns to play 2048

What is the fewest moves to win 2048?

Sampling from the Chain. The mean, which is marked by the vertical blue line, comes out at 938.8 moves, excluding the first transition from the initial state, with a standard deviation of 8.3 moves. So, that's our answer for the minimum expected number of moves to win the game!

Is 2048 a math game?

About the Game

2048 Cuteness Edition is a fun math puzzle game. The object of the game is to reach the number 2048 by combining like numbers. You will learn about the powers of 2 by playing this game.

How to hack 2048?

How to get 4096 in 2048?

Are all 2048 games winnable?

What is game 2048? jennypeng.me/2048 this is always solvable. I assure you. Problem can be posed more generally: When the game is won at small values (like 16) it is always winnable, but at some point must become unwinnable, as some numbers are too large to be made on the board.

Is 2048 a skill or luck?

So how exactly does one succeed at 2048? It's fairly easy in fact to reach the end the same day you pick up the game. It takes simple strategy, a knowledge of when to alter that strategy, and, unlike Threes, requires almost no luck whatsoever.

What are the best heuristics for 2048?

Therefore, basic heuristic functions for 2048 solvers should prioritize high numbers of empty spaces and monotonicity, and they should prioritize having a high number of empty spaces over having high monotonicity.

What is the 16384 in 2048?

The game of 2048 is largely a game about space. A 4×4 grid is not a terribly large amount of space for us to create our ultimate goal, the 16384 tile. A 4×4 grid gives us 16 units of space, while the 16384 tile requires log₂ 16384 = 14 units of space, leaving us essentially 2 units of space to spare.

Can you win 9007199254740992?

It's certainly possible to win this. It only took me about an hour of procrastination to do so. The strategy is the same as the original game - build into a corner. The zero tiles do make things more difficult.

How many combinations are there in 2048?

*2048 = 189,565,009,920 possible combinations. That sounds like a lot, right?

How many possibilities are there in 2048?

Each tile can be either empty, or contain a 2, 4, 8, ..., 512 or 1024 tile. That's 12 possibilities per tile. There are 16 tiles, so we get 16¹² = 2⁴⁸ possible board states - and this most likely includes a few unreachable ones.

What are 3 factors of 2048?

Hence, the factors of 2048 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048.

What times itself equals 2048?

The square root of 2048, (or root 2048), is the number which when multiplied by itself gives the product as 2048. Therefore, the square root of 2048 = √2048 = 32 √2 = 45.254833995939045.

What is the largest number that exactly divides 2048?

The factors of 2048 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048,and the factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960.

How many 12 word combinations are there?

There are 2,048 different word options for the 12-word phrase. Those words come from the published BIP39 specification or Bitcoin Improvement Proposal 39.

How much is 9007199254740992?

Cardinal: 9007199254740992 can be written as Nine quadrillion, seven trillion, one hundred ninety-nine billion, two hundred fifty-four million, seven hundred forty thousand, nine hundred ninety-two.

How to play 9007199254740992?

How to play: Use your arrow keys to move the tiles. When two tiles with the same number touch, they merge into one! Note: This site is not the official version of 2048. You can play the official version on gabrielecirulli.github.io/2048.

Is 2048 based on luck?

So how exactly does one succeed at 2048? It's fairly easy in fact to reach the end the same day you pick up the game. It takes simple strategy, a knowledge of when to alter that strategy, and, unlike Threes, requires almost no luck whatsoever.

Are all 2048 games winnable?

What is game 2048? jennypeng.me/2048 this is always solvable. I assure you. Problem can be posed more generally: When the game is won at small values (like 16) it is always winnable, but at some point must become unwinnable, as some numbers are too large to be made on the board.

What is the 16384 in 2048?

The game of 2048 is largely a game about space. A 4×4 grid is not a terribly large amount of space for us to create our ultimate goal, the 16384 tile. A 4×4 grid gives us 16 units of space, while the 16384 tile requires log₂ 16384 = 14 units of space, leaving us essentially 2 units of space to spare.