Question: onic (consistent) heuristics for varying problems. a) An example of an 8-puzzle is given in the figure below. The goal is to move the tiles

onic (consistent) heuristics for varying problems. a) An example of an

onic (consistent) heuristics for varying problems. a) An example of an 8-puzzle is given in the figure below. The goal is to move the tiles one at a time until the goal is reached, in which the tiles are ordered. Given a state n, prove that the following heuristic for the 8-puzzle is admissible: h(n)=i=18Manh(Ti,n,Ti,g) where Ti,n is position of tile i in state n,Ti,g is the position of tile i in the goal state, and Manh(Ti,n,Ti,g) is the Manhattan Distance between tiles Ti,n and Ti,g

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