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Write a program that calculates the intersection of two sets of numbers. The sets can be represented using arrays. The general idea is that A!=0 if i is in the set and A==0 if it is not.

Array element

A can thus be treated as a Boolean. Since the array has a fixed bound, say N, the values in the set are restricted to the range 0..N. For example, the array A[10]={0,0,1,0,1,1} would represent the set {2,4,5}, because A[2], A[4] and A[5] have value 1 and everywhere else A contains zeros.

The program should read two sets (arrays) of number s A and B. Then it computes the intersection and displays the results. Make N equal to 10.

Example

Enter number of elements in set A:

5

Enter set A:

0 4 2 1 6

Enter number of elements in set B:

3

Enter set B:

1 9 3

Intersection: 1

3. You are asked to implement a program that helps a school instructor to perform different operations on the scores of his students in a specific class.

The classroom has 10 students. Each student has performed 5 tests during the semester (each test is out of 100). Your program should do the following:

a. Declare an array of strings which stores the names of the students.

b. Declare a two dimensional array which stores the scores of the students.

c. Take the input data from a text file named "students.txt". The file contains the data of 10 students (i.e. the name of the student followed by5 scores). An example of the input file is shown below:

College of Arts & Sciences, Department of Computer.

d. Display a menu with the following options (the user should enter the number of the desired option):

1. Compute the average for each student. Then the program displays the name of each student along with his/her average.

2. Compute and display the name of the student with the highest average.

3. Compute and display the number of students who passed the course and the number of students who failed. Note that the passing score is 70.

0. Quit the program.

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