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What has 43252003274489856000 possible configurations but was solved in less than wellington in 8 seconds?
Wiki User
∙ 11y ago
That number starting with 43... sounds like the possible configurations of a Rubik's Cube.
A Rubik's Cube
However, I'm not sure whether the 43... possible configurations are those reachable from the solved position or the total number possible. (According to wikipedia, the 43... possible configurations are reachable from the solution.)
I think there are 12 "parities" - if a cube is dismantled and randomly put together again, there is only a 1/12 chance that the cube can be solved. (In this case, the total possible combinations are 12 x 43...)
For example, if one edge piece alone is inverted (say on a solved cube with the white and red faces next to each other, the white-red edge piece is inverted with the white side on the red face and the red side on the white face) it is impossible to manipulate the cube using the normal turns to invert this one piece.
There is a maximum number of moves that is relatively small ([much] less than 100) that are needed to get between any of the 43.... possible positions (in each parity).
Wiki User
∙ 11y ago
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