Problem 1 (30 points)

A.  Write a funciton called sum_part, which has four parameters.
The first parameter is an array of integers, the second parameter
is the size of the array, the third and fourth parameters are 
index positions in the array.  The function should return the
sum of the numbers from the first index position to the second
index position given as parameters.  In other words, suppose
the array looks like this.  

|---|---|---|---|---|---|---|---|---|---|
| 2 | 5 | 4 | 7 | 1 | 3 | 4 | 2 | 5 | 6 |
|---|---|---|---|---|---|---|---|---|---|
  0   1   2   3   4   5   6   7   8   9

And suppose that the index positions given as the third and
fourth parameters are 4 and 7.  Then the function should 
return 10, since the sum of the numbers in index position 4
though index position 7 is 10.  [Don't worry about checking
for errors in this function.  Assume the index positions
make sense.]

B.  Write a program that reads in (from the terminal) the number 
of people who got each grade for an exam (how many people got 0, 
how many people got 1, ..., how many people got 100), stores the
information in an array, and then prints a message indicating 
the number of people who got B (80-89) on the exam.  Your program 
must use the function from part A.

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Problem 2 (20 points):  

Write a function called more that takes a string as parameter.
The function should return true if the first character of the
string appears more than once in the string.  For example, the
function would return true for the string "garage", because
'g' appears more than once, but it would return false for 
"there" because 't' only appears once."  [You can assume
the string is made up of only lower case letters.]

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Problem 3 (20 points):  

Write a function called copypos that takes an input stream and
an output stream as parameter.  Assume that the input stream is
already associated with a file of integers.  The function should
make the file associated with the output stream contain only the
positive numbers in the input file, each written on a separate line.
[Assume both streams are already associated with a file.  You do not 
need to open or close any files.]

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Problem 4 (30 points):  

A.  Write a class called university which has a data field
for the name of the university, a data field for the number
of female students at the university, and a data field for
the number of male students at the university.  [As usual,
data fields must be private.]  Also, give the prototype
for the function in part B of this question.

B.  Write a member function for university, called
num_students which returns the total number of students
at the university.  [Member functions are public.]

C.  Write a non-member function called more_students
which takes two universities as parameters and returns
true if the first university has more students than the
second.  Otherwise return false. [Use function from part B.]

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