Question: True or False: (give the reason) The solution path found by Uniform-Cost search may change if we add the same positive constant, c, to every

  1. True or False: (give the reason)
    1. The solution path found by Uniform-Cost search may change if we add the same positive constant, c, to every edge cost.
    2. Graph search with the A* algorithm is optimal when the heuristic function is admissible but not consistent.
    3. If a heuristic is admissible, it is also consistent (aka monotonic).
    4. If h1 is an admissible heuristic and h2 is not an admissible heuristic, (h1 + h2)/2 must be an admissible heuristic.
    5. Greedy Best-First search with an admissible heuristic is guaranteed to find an optimal solution.

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