Question 10 (5 points) Your code is using a symbol table of type BinarySearchST . What methods must be defined in classes Account and/or Transactions in order for the symbol table to work correctly? The Account class must define the method public int compareTo(obect other) The Account class must define the method public int compareTo(Account other) and the Transactions class must define the method public boolean equals(Transactions other) The Account class must define the method public int compareTo(Account other) The Account class must define the method public int compareTo(Object other) and the Transactions class must define the method public boolean equals(Object other) Question 11 (5 points) Assume the contents of the keys array of a BinarySearchST are as depicted below. Trace the execution of a call to rank(55) by listing out the sequence of values that are assigned to the variable mid in the book's code (given below the array). List out the mid values with commas separating the values. For example, if you thought the values of mid took on the values 8 through 5 in decreasing order, you would write 8,7,6,5 0 1 2 3 4 5 6 7 8 9 4 12 33 38 50 53 61 72 7494 public int rank (Key key) { int loe, hi = n-1; while (lo e) lomid + 1; else return mid; return 10; } } Question 12 (5 points) Assume the contents of the keys array of a BinarySearchST are as depicted below. What value is returned by rank(100)? 0 1 2 3 4 5 6 7 8 9 4 12 33 38 50 53 61 72 7494 public int rank (Key key) { int loe, hi = n-1; while (lo e) lomid + 1; else return mid; } return lo; } -1 An exception is thrown 9 10 Question 8 (5 points) What is the order of growth of the worst case running time of the put operation for the book's BinarySearchST with n keys, when the key being inserted is already in the symbol table? constant O(1) linear O(n) logarithmic O(lg n) quadratic O(n) Question 9 (5 points) What is the order of growth of the worst case running time of the put operation for the book's BinarySearchST with n keys, when the key being inserted is not already in the symbol table? quadratic O(n) logarithmic O(Ign) constant O(1) linear O(n)