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NancyLebovitz comments on Open thread, 11-17 March 2014 - Less Wrong
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Definitely fascinating. It's a shame it doesn't keep track of number of moves-- the fewest number of moves needed to clog up the board might also be interesting.
The total of all the numbers on the board goes up by 2 on every move and starts at 4. Therefore the number of moves you've made is (current total - 4)/2. To reach 2048 requires at least 1022 moves. As a rough rule of thumb, look at the biggest number on the board: that's a ballpark estimate of how many moves you've played.
I realised this shortly after getting into the flow of my first game, and it entirely extinguished my desire to play a second. My memetic immune system is strong.
Actually, I think 90% of the time it adds a 2, 10% it adds a 4.