SOLVED: Construct a search graph with no more than 10 nodes for which all of the following are true:1. Least-cost first search returns an optimal solution.2. Breadth-first search returns the highest-cost solution.3. Depth-first search returns a solution whose cost is strictly less than the highest-cost solution and strictly more than the least-cost solution.Feel free to include multiple goal nodes in your graph. Be sure to list the start and goal node(s), all edge costs, and all edge directions

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