Here are some simple exercises for simple programming.

  1. Construct the following programs:

    1. A check sum function that takes input three integers (a, b and c) and returns a boolean value if a+b=ca + b = c
    2. A check divisible function that takes as input two integers (a and b) and returns a boolean values if a is not divisible by b.
    3. A max function that returns the maximum of two numbers a and b.
    4. A min function that returns the minimum of two numbers a and b.

  2. Construct the following programs:

    1. A program that computes the factorial for a given input n i.e. multiples all the numbers less than or equal to n.
    2. A program that computes the even factorial (multiplies the even numbers only) for a given input n.
    3. A program that computes the odd factorial (multiplies the odd numbers only) for a given input n.

  3. Construct a program that calculates the nthn^{th} number of the fibonacci sequence.

  4. Construct a program that computes the combinatorial of two integers n and m, as given by:

    n!(m!×(n−m)!)\frac{n!}{(m!\times(n-m)!)}

    This program should return an error if n<mn < m.

    Hint
    Think how you will encapsulate/report/handle the error

  5. Construct a program that returns a string message if the user supplied year is a leap year.

  6. Construct a program that returns true if a given number is prime.

  7. Construct a program that, given a list xs and an integer n, will keep only the first n elements in xs and throw away everything after that. If there are less than n elements then the entire list should be returned.

  8. Construct a program that will merge two lists, xs and ys, together by alternating elements from each list. If one of the lists runs out of elements first then the remaining elements comes from the other list.

  9. Construct a program that will drop every second element from a list.

  10. Construct the following programs that will compute the dot product of two lists xs and ys, that contain real numbers.

    The dot product is the sum of multiplication of each element in xs by elements in ys. Should one list be longer than the other you must either: truncate the longer list, or right-pad the short list with 0s.