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Bloxorz

alt text

Bloxorz is a game where the goal is to drop a 1ร—2ร—1 block through a hole in the middle of a board without falling off its edges. This game is available at http://www.coolmath-games.com/0-bloxorz/index.html

Definition of the game

Board is represented as a matrix:

[
    ['O', 'O', 'O', 'O', 'X', 'X', 'X', 'X', 'X', 'X'],
    ['O', 'O', 'O', 'O', 'X', 'X', 'X', 'O', 'O', 'O'],
    ['O', 'O', 'O', 'O', 'O', 'O', 'O', 'O', 'O', 'G'],
    ['O', 'O', 'O', 'O', 'X', 'X', 'X', 'O', 'O', 'O'],
    ['O', 'O', 'O', 'O', 'X', 'X', 'X', 'X', 'X', 'X'],
    ['S', 'S', 'O', 'O', 'X', 'X', 'X', 'X', 'X', 'X']
]
  • O denotes safe tiles: the block can stand on these anytime
  • X denotes empty tiles: the block may never touch an empty tile, even if half of the block is on a safe tile
  • S denotes the tile(s) occupied by the block: if the block is in the vertical orientation then there is one tile labeled S, otherwise (if the block is in the horizontal orientation) there are two adjacent tiles labeled S
  • G denotes the goal tile: the block needs to be on it (vertically) in order to fall into the goal

Solution

Genetic algorithm

Credit

Ege Alpay's solutions for this problem are on his Gitlab repo.

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