Course Solutions Uncategorized (Solved) : M N K Puzzle Sliding Puzzle M Columns N Rows K Empty Squares 1 3 K Mn Usual One Move Move Q26865119 . . . .

(Solved) : M N K Puzzle Sliding Puzzle M Columns N Rows K Empty Squares 1 3 K Mn Usual One Move Move Q26865119 . . . .

 

An (m, n, k)-puzzle is a sliding puzzle with m columns, n rows, and k empty squares, where 1 3 k < mn. As usual, one move is to move a single tile to an adjacent (up, down, left, right) empty square, if available 1. (10 points) How many tiles are there in a (m, n, k-puzzle in general? For example, there are 8 tiles in a (3,3, 1)-puzzle 2. (20 points) Let each tile have a distinct name. How many distinct states are there in the state space? Show your derivation. 3. (20 points) Draw a graph that 

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