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Object oriented programming language using C++

Final examination. Code: 2May 31th 2016 Student nameTime limit: 120 minutes Student ID

Note: You are not allowed to use textbooks or notes or anything else besides your brain.

1. (5 points) Write a program with a menu:

1. Find a digit in a positive integer: press 1.

2. Exit: press 2.

Operation of the program:

•  If a user enters ’1’:

–  Ask the user to input a positive integer  N  and a digit  d.

–  Print out on the screen: whether  d appears in  N  or not?

–  Repeat until the user presses ’2’.

•  If the user enters ’2’: close the program.

•  If the user enters other strings: ask him/her to re-input.

2. (5 points) Create a class named   vector  with 2 attributes:   x  and  y   (both are integers).The class   vector   includes the following methods:

•  A constructor with 2 integer parameters: initialize a   vector-object with particularvalues of its 2 attributes.

•  A virtual method named  length to calculate the length of a vector.Hint: Length =

 x2 + y2

•  A virtual method named  display  to display a vector1 and its length on the screen.

Create a class named 3D vector inherited from the class   vector with additional integerattribute z . Methods of 3D vector  include:

•  A constructor with 3 integer parameters: initialize a 3D vector-object with par-ticular values of its 3 attributes. It calls the constructor of the class   vector.

•  A redefined method  length to calculate the length of a vector.Hint: Length =

 x2 + y2 + z 2

•  A redefined method  display  to display a vector and its length on the screen.

Create a class named 4D vector inherited from the class   vector with additional integerattributes z  and  t. Methods of 4D vector  include:

1Display the values of all vector elements

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Final examination. Code: 2 - Page 2 of 2 May 31th 2016

•  A constructor with 4 integer parameters: initialize a 4D vector-object with par-ticular values of its 4 attributes. It calls the constructor of the class   vector.

•  A redefined method  length to calculate the length of a vector2.Hint: Length =

 x2 + y2 + z 2 + t2

•

 A redefined method  display  to display a vector and its length on the screen.Operation of the function  main:

•  Create an array of 10   vector  pointers.

•  For each pointer:

–   Ask users to enter a number 0 or 1, corresponds to 3D vector  or 4D vector.

–   Ask users to enter values for the attributes of a 3D vector object (or 4D vector

object) to temporary variables.

–   Based on the information entered, initialize an appropriate object.

•  Use a  f or   loop to:–  Display on the screen the information of 10 vectors and their lengths.

2To calculate the square root  sqr  of a real number  r:- Use  math.h: #include < math.h >

- Calculate the square root:   sqr  =  sqrt(r)