In the graph given below, consider that you keep track of already expanded nodes and their f cost. Also, if you visit an already expanded node by some other branch, you push it back to the fringe only if their new f cost is lower than the previous f cost. Now, simulate Greedy Best First Search and A* Search algorithm on the following graph considering X as the start node and P as the goal node.
Extracted text: 2 7 Y 4 7 Y 1 2 10 4 P M N 4 NEZO a N
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