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Turn Based Strategy - Map Processing

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In the game Final Fantasy Tactics, how does the game logic know which tiles a certain character can move to? Some characters can move to tiles that are higher than other tiles, and some characters cannot move to these higher tiles. I'm stumped on this.

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Map is 2D array of integers.

When moving, check the difference between current tile, and adjacent one. If difference is < height, then it's passable.

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