The A* algorithm is optimal when, 

1
It always finds the solution with the lowest total cost if the heuristic 'h' is admissible. 
2
Always finds the solution with the highest total cost if the heuristic 'h' is admissible.
3
Finds the solution with the lowest total cost if the heuristic 'h' is not admissible.
4
It always finds the solution with the highest total cost if the heuristic 'h' is not admissible.

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