Developing Simple Programs (assignment 0.A)
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Solve one of these problems and show the program
(compiled and executed) to your demonstrator.

Problem 1:

Two groups of students, a group called "Electrical and Electronic 
Engineering"  (with the number of students is EE)
and a group called "Electronic Communications" 
(the number of students is EC), enter the room for a lecture in EEE1004.
Amongst the first group the percentage of Newcastle United
supporters is N1, and amongst the second group it is N2.  
Design an algorithm and write a C++ program that
computes the percentage of Newcastle Utd supporters
in the whole EEE1004 class (total size is N1+N2).
The program should enter the values of EE, EC, N1 and N2 from
the keyboard and display the result on the screen.


Problem 2:

Given x (say, a real number), use only multiply (*), add (+)
and subtract (-) to calculate the value of y defined by the 
following expression:

y = a*x^4 + b*x^3 + c*x^2 - 2*x - 3

(here symbol ^ denotes "power")

Try to use the least number of multiplications.

Design an algorithm and write a C++ program.
The program should enter the values of a, b, c, and x
from the keyboard and display the result (y) on the screen.

Problem 3:

What is the minimum number of operations you need to calculate
the following two expressions:

y1 = 1 - 2*x + 3*x^2 - 4*x^3
y2 = 1 + 2*x + 3*x^2 + 4*x^3

(here symbol ^ denotes "power")

Design an algorithm and write a C++ program.
The program should enter the value of x   
from the keyboard and display the results (y1 and y2) 
on the screen.