Question: (a). Find a path from a to g in the graph G using the search strategy of depth-first search. Is the returned solution path an

(a). Find a path from a to g in the graph

(a). Find a path from a to g in the graph G using the search strategy of depth-first search. Is the returned solution path an optimal one? Give your explanation and remarks on "why-optimal" or "why-non-optimal".

(b). Find a path from a to g in the graph G using the search strategy of breadth-first search. Is the returned solution path an optimal one? Give your explanation and remarks on "why-optimal" or "why-non-optimal". (c). Find a path from a to g in the graph G using the search strategy of least-cost first search. Is the returned solution path an optimal one? Give your explanation and remarks on "why-optimal" or "why-non-optimal".

(d). Find a path from a to g in the graph G using the search strategy of best-first search. The heuristics for these nodes are: h(a,25); h(b, 43); h(c,5); h(d, 64); h(g, 0). Is the returned solution path an optimal one? Give your explanation and remarks on "why-optimal or "why-non-optimal".

(e). Suppose AGAIN the heuristics of h(a,25); h(b, 43); h(c,5); h(d, 64); h(g, 0). Find a path from a to g in the graph G using the search strategy of A* search. Is the returned solution path an optimal one? Give your explanation and remarks on "why-optimal" or "why-non-optimal".

(f). Suppose the heuristics is now UPDATED to h(a,5); h(b, 9); h(c,5); h(d, 29); h(g, 0). Find a path from a to g in the graph G using the search strategy of A* search again. Is the returned solution path an optimal one? Give your explanation and remarks on "why-optimal" or "why-non-optimal".

(g). Suppose the heuristics is FURTHER UPDATED to h(a,5); h(b, 8); h(c,5); h(d, 9); h(g, 0). Find a path from a to g in the graph G using the search strategy of A* search again. Is the returned solution path an optimal one? Give your explanation and remarks on "why-optimal" or "why-non-optimal". What would be your additional comments in terms of the solution path finding under this heuristics?

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