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1. INFO 2313: Assignment–2
School of Business
Kwantlen Polytechnic University, Canada
https://courses.kpu.ca/course/view.php?id=6373
Instructor: Ali Madooei
ali.madooei@kpu.ca
June 03, 2016
It is due at 12:00 pm (noon) on Friday, June 10, 2016
This assignment uses the material in Chapters 1-5 [Liang, 2015] (except chapter 4)
with focus on using loops. It contains three tasks which are selected (and modified)
from the Programming Exercises of Chapter-5.
Guidelines
1. Create a new Java project and name it assign02
2. Create the following Java classes: Task01, Task02, Task03; make sure these classes
contain public static void main(String[] args) method.
3. Attempt to implement each task and do your best. Just as there are different ways
to say the same thing in English, there are different ways to do the same thing
with a programming language. Any solution is acceptable as long as the code is
error-free, implements what I have asked for, and produces the correct output.
4. I encourage you to follow good programming practice (e.g. include comments, code
indentation, etc). This practice will be considered in marking.
1

2. Assignment–2
Task 1. (A lame children game) Write a program that prints the numbers from 1 to 100.
But for multiples of three print “Fizz” instead of the number and for the multiples of five
print “Buzz”. For numbers which are multiples of both three and five print “FizzBuzz”.
According to one blogger1
, “good programmers should be able to write out on paper
a program which does this in under a couple of minutes. Want to know something scary?
The majority of computer science graduates can’t. I’ve also seen self-proclaimed senior
programmers take more than 10-15 minutes to write a solution.”
On the off chance that in the future you may get this (or a similar) question during
a job interview, I am giving you the opportunity to implement it here (and don’t worry
about how long it takes you to implement it).
Hint: Recall an integer n is divisible by the integer p, if you divide n by p and the
remainder is zero.
Output:
1 2 Fizz 4 Buzz Fizz 7 8 Fizz Buzz 11 Fizz 13 14 FizzBuzz 16
17 Fizz 19 Buzz Fizz 22 23 Fizz Buzz 26 Fizz 28 29 FizzBuzz
31 32 Fizz 34 Buzz Fizz 37 38 Fizz Buzz 41 Fizz 43 44
FizzBuzz 46 47 Fizz 49 Buzz Fizz 52 53 Fizz Buzz 56 Fizz 58
59 FizzBuzz 61 62 Fizz 64 Buzz Fizz 67 68 Fizz Buzz 71 Fizz
73 74 FizzBuzz 76 77 Fizz 79 Buzz Fizz 82 83 Fizz Buzz 86
Fizz 88 89 FizzBuzz 91 92 Fizz 94 Buzz Fizz 97 98 Fizz Buzz
1
https://imranontech.com/2007/01/24/using-fizzbuzz-to-find-developers-who-grok-coding/
INFO 2313 2

3. Assignment–2
Task 2. (Scientific computing: compute π) The value of π (the ratio of a circle’s cir-
cumference to its diameter) can be approximated2
as
π = 4 × 1 −
1
3
+
1
5
−
1
7
+
1
9
− . . .
write a program that computes the value of π according the above series.
Notes: The aforementioned series is an infinite sum.3
We cannot implement an infinite
sum; we have to decide on a number of terms. You can restrict your sum to include the
first 10000 terms.
Guidelines: Implementation of the aforementioned series is in principle similar to that
of e.g. computing the sum of the first 100 whole numbers which you have seen during
lectures. If you cannot make the leap from that example to this task, take it one step
at a time. Start by implementing the summation 1 + 2 + 3 + . . . , then implement the
summation 1 + 3 + 5 + 7 + . . . (sum of odd numbers). Next, implement 1 + 1
3
+ 1
5
+ . . .
and finally 1 − 1
3
+ 1
5
− . . . (pay attention to + and − signs).
Output:
PI is approximated as: 3.1414926535900345
2
https://en.wikipedia.org/wiki/Approximations_of_%CF%80
3
http://www.mathsisfun.com/algebra/infinite-series.html
INFO 2313 3

4. Assignment–2
Task 3. (Display pyramid) We are interested to generate the following pyramid of
digits:
1
232
34543
4567654
567898765
67890109876
7890123210987
890123454321098
90123456765432109
0123456789876543210
One naive is to use System.out.println() and print each line to the screen. However,
we are interested to solve this problem in a more systematic way. There are some
interesting observations to be made here:
1. Each row starts and ends with its number. For example the second row starts and
ends with 2, and the fifth row starts and ends with 5.
2. There is always an odd number of digits on each row. In fact, on the nth
row there
are 2n − 1 digits. On third row for example, there are 2 × 3 − 1 = 5 digits.
3. In printing the digits, once you reached 9, you start again from 0. For example on
row six, the row starts with 6 and continues with 7, 8, 9, and what should be 10,
11, 10, 9, 8, 7, 6. However, 10 and 11 are presented by 0 and 1 so the digits are
printed as 67890109876.
Write a program that takes as input the number of rows (a positive integer value) and
generates a pyramid of digits like the one above.
Hint: you will need to use nested loops.
Guidelines: I suggest you to solve Task-2 from Lab03 before doing this task.
INFO 2313 4

5. Assignment–2
Submission
Once you are done with your solutions, please include the following comment block (with
you name and student number) on top of every Java file in your project.
/*
* INFO 2313 - SUMMER 2016
* ASSIGNMENT 2
*
* Student Name:
* Student Number:
*/
Then, zip the project assign02 folder and upload it to Moodle.
INFO 2313 5