Data Structures and Algorithms in Java[1].pdf - Fulvio Frisone

Write a short program that takes as input three integers, a, b, and c, from the
Java console and determines if they can be used in a correct arithmetic formula
(in the given order), like "a + b = c," "a = b − c," or "a*b = c."
R-2.15
Write a short Java program that creates a Pair class that can store two objects
declared as generic types. Demonstrate this program by creating and printing
Pair objects that contain five different kinds of pairs, such as
and .
R-2.16
Generic parameters are not included in the signature of a method declaration, so
you cannot have different methods in the same class that have different generic
parameters but otherwise have the same names and the types and number of
their parameters. How can you change the signatures of the conflicting methods
to get around this restriction?
Creativity
C-2.1
Explain why the Java dynamic dispatch algorithm, which looks for the method
to invoke for a call o.a(), will never get into an infinite loop.
C-2.2
Write a Java class that extends the Progression class so that each value in
the progression is the absolute value of the difference between the previ- ous
two values. You should include a default constructor that starts with 2 and 200
as the first two values and a parametric constructor that starts with a specified
pair of numbers as the first two values.
C-2.3
Write a Java class that extends the Progression class so that each value in
the progression is the square root of the previous value. (Note that you can no
longer represent each value with an integer.) You should include a default
constructor that has 65,536 as the first value and a parametric constructor that
starts with a specified (double) number as the first value.
C-2.4
Rewrite all the classes in the Progression hierarchy so that all values are
from the BigInteger class, in order to avoid overflows all together.
134