Consider the following graph. The numbers written on edges represents the distance between the nodes and the numbers written on nodes represents the heuristic value. Find the most cost effective path to reach from Noda A to node J using A* Algorithm

To find the most cost-effective path from node A to node J using the A* Algorithm, we must combine both the actual cost from the start node (A) to any node and the heuristic cost, which is an estimate of the cost from that node to the goal node (J). The A* algorithm works by evaluating nodes based on the function:

\[ f(n) = g(n) + h(n) \]

where:

- \( g(n) \) is the actual cost to reach node \( n \) from the start node (A).
- \( h(n) \) is the heuristic estimate of the cost to reach the goal node (J) from node \( n \).
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