COSC2007 Data Structures II

1. COSC2007 Data Structures II Chapter 12 Tables & Priority Queues II

2. Topics • Tables • Implementation • Array-based • BST-based S. Xu

3. ADT Table's Sorted Array-Based Implementation public interface TableInterface { public booleantableIsEmpty(); // Determines whether a table is empty public int tableLength( ); // Determines the number of items in a table public void tableInsert(KeyedItem newItem) throw TableException; public boolean tableDelete(Comparable searchKey); public KeyedItem tableRetrieve(Comparable SearchKey) ; } //end TableInterface class TableException extends Exception { public TableException(String message) { super ( message); } } // end TableException S. Xu

4. ADT Table's Sorted Array-Based Implementation //one item with a given search key at any time public class TableArrayBased implements TableInterface { final int MAX_TABLE = 100; // maximum size of table protected KeyedItem [] items; //table item private int size; //table size public TableArrayBased() { items = new KeyedItem[MAX_TABLE]; size =0; } //default constructor public boolean tableIsEmpty() { return size==0; } public int tableLength () { return size; } S. Xu

5. ADT Table's Sorted Array-Based Implementation //one item with a given search key at any time public class TableArrayBased implements TableInterface { final int MAX_TABLE = 100; // maximum size of table protected KeyedItem [] items; //table item private int size; //table size public TableArrayBased() { items = new KeyedItem[MAX_TABLE]; size =0; } //default constructor public boolean tableIsEmpty() { return size==0; } public int tableLength () { return size; } S. Xu

6. ADT Table's Sorted Array-Based Implementation Public void tableInsert(KeyedItem newItem) throws TableException { // Note: Insertion is unsuccessful if the table is full, // that is, if the table already contains MAX_TABLE items. // Calls: position. if (size == MAX_TABLE) throw new TableException("TableException: Table full"); // there is room to insert; locate the position where newItem belongs int spot = position(newItem.getKey()); if ((spot<size) && (items[spot].getKey()).compareTo(newItem.getKey())==0) { //duplicate key throw new TableException("TableException: Duplicate Key item"); } else { // shift up to make room for the new item for (int index = size-1; index >= spot; --index) items[index+1] = items[index]; // make the insertion items[spot] = newItem; ++size; } //end if } // end tableInsert S. Xu

7. ADT Table's Sorted Array-Based Implementation public boolean tableDelete(Comparable SearchKey) { // Calls: Position. // locate the position where SearchKey exists/belongs int Spot = position(SearchKey);  // is SearchKey present in the table? boolean success = (spot <= size) && (items[Spot].getKey().compareTo(SearchKey)==0); if (success) { // SearchKey in Table --Size; // delete the item // shift down to fill the gap for (int index = spot; index < size; ++index) items[index] = items[index+1]; } // end if return success; } // end tableDelete S. Xu

8. ADT Table's Sorted Array-Based Implementation Public KeyedItem tableRetrieve(Comparable searchKey) { // Calls: position. // locate the position where SearchKey exists/belongs int spot = position(searchKey); // is searchKey present in table? boolean success = (spot <= size) && (items[spot].getKey().compareTo(searchKey)==0); if (success) return items[spot]; // item present; retrieve it else return null; } // end tableRetrieve S. Xu

9. ADT Table's Sorted Array-Based Implementation protected int position(Comparable searchKey) { // find the position of a table item or insertion point int pos =0; while ((pos<size) &&(searchKey.compareTo(item[pos].getKey())>0)) pos++; return pos } // end position } //end TableArrayBased S. Xu

10. ADT Table's BST Implementation • Linear implementation are not good for general-purpose of ADT table • Non-linear (using BST) to represent the items in the table is better in most cases • We can reuse BinarySearchTree class implemented in Chapter 11 S. Xu

11. ADT Table's BST Implementation public class TableBSTBased implements TableInterface { protected BinarySearchTree bst; // binary search tree that contains the table’s items protected int size; // number of items in the table public TableBSTBased () { bst = new BinarySearchTree(); size=0; } //table operations public boolean tableIsEmpty() { return size==0; } //end tableIsEmpty public int tableLength (){ return size; } //end tablelength S. Xu

12. ADT Table's BST Implementation public class TableBSTBased implements TableInterface { protected BinarySearchTree bst; // binary search tree that contains the table’s items protected int size; // number of items in the table public TableBSTBased () { bst = new BinarySearchTree(); size=0; } //table operations public boolean tableIsEmpty() { return size==0; } //end tableIsEmpty public int tableLength (){ return size; } //end tablelength S. Xu

13. ADT Table's BST Implementation public void tableInsert(KeyedItem newItem) throws TableException { if (bst.retrieve (newItem.getKey())==null) { bst.insert(newItem); ++size; } else throw new TableException("TableException: duplicate key item"); } // end tableInsert public KeyItem tableRetrieve(Comparable searchKey) { return bst.retrieve(searchKey); } // end tableRetrieve S. Xu

14. ADT Table's BST Implementation public void tableInsert(KeyedItem newItem) throws TableException { if (bst.retrieve (newItem.getKey())==null) { bst.insert(newItem); ++size; } else throw new TableException("TableException: duplicate key item"); } // end tableInsert public KeyItem tableRetrieve(Comparable searchKey) { return bst.retrieve(searchKey); } // end tableRetrieve S. Xu

15. ADT Table's BST Implementation public boolean tableDelete(Comparable searchKey) { try { bst.delete(searchKey); } // end try catch (TreeException e) { return false; } // end catch -- size; return true; } // end tableDelete protected void setSize (int newSize) { size = newSize; } // end setSize }// End of implementation file. S. Xu

16. ADT Table's BST Implementation • Test program public class TestTable { public statcic void main (String[] args) { TableInterface chart = new TableBSTBased (); City anItem; anItem = new City (“Windsor”, “canada”, 12000); chart.tableInsert (anItem); anItem = new City (“Soo”, “Canada”, 5000); chart.tableInsert(anItem); TableInteratorBST iter = new TableInteratorBST (chart); while (iter.gasNext()) displayCity ((City)iter.next()); } public static void displayCity (City anItem) { System.out.println (anItem.getCity()); } S. Xu

17. Review • The ______ operation of the ADT table throws a TableException. • tableInsert • tableDelete • tableRetrieve • tableTraverse

18. Review • If the item with a given search key does not exist in a table, the tableRetrieve operation returns ______. • the value -1 • the value 0 • the value false • a null reference

19. Review • The sorted reference-based implementation of the tableInsert operation is ______. • O(1) • O(n) • O(n2) • O(logn)

20. Review • In the sorted linear implementation of a table, the proper position of a new item to be inserted is determined ______. • by the data type of the item • by the size of the item • by the value of the item • by the value of the search key of the item

21. Review • The sorted array-based implementation of the tableInsert operation is ______. • O(1) • O(logn) • O(n) • O(n2)

22. Review • Which of the following operations of the binary search tree implementation of the ADT tree is O(n)? • insertion • deletion • retrieval • traversal