Pseudo code is given below for the recursive part of the cyc…

Questions

Pseudо cоde is given belоw for the recursive pаrt of the cycle-checking аlgorithm discussed in clаss; assume the loop is completed before the loop begins. In the graph pictured below, the labels are vertex indices; observe that the graph has vertices. At what value of the current vertex  will the algorithm first detect a cycle? Justify your answer by showing all work and stating any assumptions you made.   private bool DFS_Cycle_Recursive(int x, int[] v, int order){   Assign v[x] = order   Increment order    If there exists a neighbor y of x such that y was visited earlier,   but not the previous vertex visited, then return true   If there exists an unvisited neighbor z of x, then call   DFS_Cycle_Recursive(z, v, order),    and return true if this call returned true   Return false}

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