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2. [4 pts.] Complete the pseudocode of the successor function for a BST, started for you in the partial pseudocode given in Algorithm 6, by

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2. [4 pts.] Complete the pseudocode of the successor function for a BST, started for you in the partial pseudocode given in Algorithm 6, by writing down the only two missing statements (in line indexes 9 and 14). The function outputs the node y with the next key in the order sequence following that of node w with respect to the BST, or NULL if w has the largest key Algorithm 6 successor(w) 1: if w= NULL then 2: yNULL 3: else 4: if w.right = NULL then yr.parent while yNULL and y.right = 1 do 6: end while 10: 11 else 12 13 14 15: 16 end if 17: end if 18: return y while y.rightNULL do end while Using big-Oh notation, provide a tight function of the number of nodes n in the BST containing w running time of the method as a 2. [4 pts.] Complete the pseudocode of the successor function for a BST, started for you in the partial pseudocode given in Algorithm 6, by writing down the only two missing statements (in line indexes 9 and 14). The function outputs the node y with the next key in the order sequence following that of node w with respect to the BST, or NULL if w has the largest key Algorithm 6 successor(w) 1: if w= NULL then 2: yNULL 3: else 4: if w.right = NULL then yr.parent while yNULL and y.right = 1 do 6: end while 10: 11 else 12 13 14 15: 16 end if 17: end if 18: return y while y.rightNULL do end while Using big-Oh notation, provide a tight function of the number of nodes n in the BST containing w running time of the method as a

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