For each of the following, give a graph that is a tree containsat most 15 nodes, has at most one arc into any node, and at mosttwo arcs out of any node.
(c) A graph where A* search expands fewer nodes than eitherdepth-first search or breadth-first search.
(d) A graph where depth-first search and breadth-first searchboth expand fewer nodes than A* search. You must draw the graph andshow the order of the neighbors (this is needed for the depth-firstsearch).
Either give the arc costs and heuristic function or stateexplicitly that you are drawing the graph to scale and are usingEuclidean distance for the
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