Question: 7 . [ 2 0 points ] In ( A ^ { * } ) search, prove that if a heuristic function

7.[20 points] In \( A^{*}\) search, prove that if a heuristic function \( h(n)\) is consistent, it is also admissible. [Hint: apply the definition of a consistent heuristic function repeatedly along the optimal path from node \( n \) to optimal goal node \( G \).]
7 . [ 2 0 points ] In \ ( A ^ { * } \ ) search,

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