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think about a search problem on a graph G = (N, E, C), where N represents nodes, E represents edges between nodes, and the weight of an edge e ∈ E is denoted by C(e), where C(e) > 1 for all e ∈ E. We have a heuristic h that calculates the smallest number of edges from a starting state to a goal state.
Now, imagine removing edges from the graph while leaving the heuristic values the same. The question is whether the heuristic remains admissible and consistent after this change. and prove them
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