Question: You are given three pegs and a sequence of discs of different sizes, stacked in decreasing order on the first peg. The goal is

You are given three pegs and a sequence of discs of different sizes, stacked in decreasing order on the first 

You are given three pegs and a sequence of discs of different sizes, stacked in decreasing order on the first peg. The goal is to move the entire stack to the third peg, while following the rules of the game, which are: Only one disc can be moved at a time A disc can only be placed on top of a larger disc or an empty peg Design a heuristic function that is admissible and consistent. Your heuristic function should estimate the number of moves required to move each disc from its current position to its goal position.

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