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The program begins by creating a collection of integers Next, ToArray( ) is called with the type specified as int This causes an array of integers to be created Since the return type of ToArray( ) is Array, the contents of the array must still be cast to int[ ] (Recall that Array is the base type of all C# arrays) Finally, the values are summed

25:

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Hashtable creates a collection that uses a hash table for storage As most readers will know, a hash table stores information using a mechanism called hashing In hashing, the informational content of a key is used to determine a unique value, called its hash code The hash code is then used as the index at which the data associated with the key is stored in the table The transformation of the key into its hash code is performed automatically you never see the hash code itself The advantage of hashing is that it allows the execution time of lookup, retrieve, and set operations to remain near constant, even for large sets Hashtable implements the IDictionary, ICollection, IEnumerable, ISerializable, IDeserializationCallback, and ICloneable interfaces Hashtable defines many constructors, including these frequently used ones: public Hashtable( ) public Hashtable(IDictionary d) public Hashtable(int capacity) public Hashtable(int capacity, oat loadFactor) The first form constructs a default Hashtable The second form initializes the Hashtable by using the elements of d The third form initializes the capacity of the Hashtable to capacity The fourth form initializes both the capacity and fill ratio The fill ratio (also called the load factor) must be between 01 and 10, and it determines how full the hash table can be before it is resized upward Specifically, when the number of elements is greater than the capacity of the table multiplied by its fill ratio, the table is expanded For constructors that do not take a fill ratio, 10 is used In addition to the methods defined by the interfaces that it implements, Hashtable also defines several methods of its own Some commonly used ones are shown in Table 25-5 To determine if a Hashtable contains a key, call ContainsKey( ) To see if a specific value is stored, call ContainsValue( ) To enumerate the contents of a Hashtable, obtain an IDictionaryEnumerator by calling GetEnumerator( ) Recall that IDictionaryEnumerator is used to enumerate the contents of a collection that stores key/value pairs.

Method public virtual bool ContainsKey(object key) public virtual bool ContainsValue(object value) public virtual IDictionaryEnumerator GetEnumerator( ) public static Hashtable Synchronized(Hashtable table)

TABLE 25-5

Description Returns true if key is a key in the invoking Hashtable Returns false otherwise Returns true if value is a value in the invoking Hashtable Returns false otherwise Returns an IDictionaryEnumerator for the invoking Hashtable Returns a synchronized version of the Hashtable passed in table

We conclude this section by doing another definite integral, but we use a slightly different approach from that in Example 73

Part II:

I realized that I d skipped the last thought completely on purpose Requesting an increase in taxes is where we re heading, but we re not there yet And it s not my place to write about it It s not even my boss s place It s her boss s job the mayor s In any event, I identified eight separate thoughts That s a lot of thoughts to include in two, or even three, sentences Plus the sentences are still too long What I did as my rst stab was to add bullets, because I know my boss likes them