(a) Calculate the size of the state space for the 8-puzzle, for the analogous 3-puzzle (2 ? 2-matrix), as well as for th
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(a) Calculate the size of the state space for the 8-puzzle, for the analogous 3-puzzle (2 ? 2-matrix), as well as for th
(a) Calculate the size of the state space for the 8-puzzle, for the analogous 3-puzzle (2 ? 2-matrix), as well as for the 15-puzzle (4 ? 4-matrix). (b) Prove that the state graph consisting of the states (nodes) and the actions (edges) for the 3-puzzle falls into two connected sub- graphs, between which there are no connections.
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