Question: The function Cyclic is intended to check whether a given undirected graph is cyclic. function CYCLIC((V. E)) mark each node in V with 0 count

The function Cyclic is intended to check whether a given undirected graph is cyclic. function CYCLIC((V. E)) mark each node in V with 0 count 0 for each w in V do if v is marked with othen cyclic + HASCYCLES(0) if cyclic then return True return False Dw is v's neighbour function HASCYCLES(V) count count+1 mark with count for each edge (vw) do if w's mark is greater than 0 then return Truc if HASCYCLES(w) then return True return false Du has been visited before Da cycle can be reached from w Show, through a worked example, that the algorithm is incorrect
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