12/6/2023 0 Comments Onedari sharemate game![]() However, if you are geared towards obtaining the highly coveted 2048 tile, just keep playing and make your own 2048 tile. Keep in mind that one designer made the 2048 mobile game app so Tricks and hacks to help players achieve that sought after 2048 tile. That players can win whichever direction they move.In the original game, sometimes the new tile that pops up is a 4. We've 16 squares in total and considering the new tile popped up at the position we chose, to make it to 4096, we need minimum these tiles:Ģ048, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 2, 2 Let's ignore that possibility for the sake of simplicity. These can be combined from right to left to get to 4096. ![]() Since that's less than 16 (max number of tiles that can fit), 4096 is possible. ![]() Next is 131072 which will require at least 17 tiles which can't fit on the board.ĮDIT: Since the game pops up some 4's at times, 131072 is still theoretically possible if the last tile that pops up is a 4 making the board look like this:ġ31072: 65536, 32768, 16384, 8192, 4096, 2048, 1024, 512, 256, 128, 64, 32, 16, 8, 4, 4īlueFlame gives an essentially correct answer, but I wanted to add a rigorous proof (for anyone looking for it). I will prove that 65536 is the maximum when 2 is the only tile which appears newly on the board. It is easy to adapt the proof to show that 131072 is the maximum when 4 may also appear.Īt every step of the game, the total value among all tiles goes up by 2, or stays the same. Suppose towards contradiction that at some point in time the 131072 tile is attained. That at this time the sum of all the tiles is at least 131072. Thus at some point in time, the sum of all the tiles was exactly 131070 (= 131072 - 2).
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