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Extra Programming
Note that many of these programming problems
are not easy. They are meant to
challenge you. It may not be
immediately obvious where you should start.
Try to find a piece of the problem that you do
know how to solve. Begin by coding that,
and work from there.
I will not answer questions about the
extra programming exercises during class. I
will be happy to help you outside of class, or
I will post solutions upon request.
-
Write a program that prompts the user
to enter information about a triangle.
Ask the user to enter the length of each of
the three sides. Your program should
determine if the triangle is equilateral,
isosceles, or scalene. If the triangle
is isosceles or scalene, your program should
check to see if it is a right
angle triangle. Remember that:
- An equilateral triangle has three
equal sides.
- An isosceles triangle has two
equal sides.
- A scalene triangle has no
equal sides.
- A right angle triangle satisfies
the Pythagorean theorem
(a^2 + b^2 = c^2).
-
Write a program to determine the day of
the week that a person was born on.
Your program should prompt the user to
enter the date of their birth. The
following steps can be used to calculate
the day of the week for any date in the
20th century (ie, this program is not
YK2 compliant).
- Divide the last two digits of the birth
year by 4. Make sure to use
integer division. We only want
the whole number.
- Add the last two digits of the birth
year to the result from the last step.
- Add the date.
- Add the month number (Jan = 1, Feb = 4,
Mar = 4, Apr = 0, May = 2, June = 5,
July = 0, Aug = 3, Sept = 6, Oct = 1,
Nov = 4, Dec = 6).
- If the year is a leap year and the month
is January or February, then
subtract 1.
- Find the remainder when dividing by 7
(Sun = 1, Mon = 2, Tue = 3, Wed = 4,
Thu = 5, Fri = 6, Sat = 0).
-
Write a program that prompts the user for
two fractions. You should read
in the numerator and the denominator of
each. Next, ask the user what operation
they would like to perform (addition,
subtraction, multiplication or division).
Carry out the desired operation on the
fractions and output the result. You
can use the "/" to display fractions
(e.g. 1 / 2).
-
Write a program that prompts the user
for an integer. Your program
should compute and output the factorial
of the integer.
The factorial for 6 is computed as :
6 x 5 x 4 x 3 x 2 x 1 = 720
The factorial for 4 is computed as :
4 x 3 x 2 x 1 = 24
-
Write a program that prints the sum of
all odd number from 1 to 99.
Modify the program so that it prints
the sum of all numbers between 1 and
99 that are divisible by 5.
-
Write a program that calculates the value
of Pi using the Leibniz method.
Leibniz determined the following formula
for estimating Pi :
Pi/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ...
Calculate and output Pi by evaluating
the first 200 terms of the formula.
The Largest Number
Write a program that continues to prompt
the user to enter a positive integer until
the user enters a "Q" for quit. If
the user enters something other than a "Q"
or a number, the program should print an
error message reminding the user of
appropriate input (either an integer or
the letter Q) before asking for the next
number. When the user finally enters
a letter Q, the program should display the largest
number that the user inputted during program
execution. Assume that if a String starts
with a number (digit from 0 to 9) then the String
represents a valid integer.
-
Write a program that prompts the user
for the year, and the day of the week
that the year starts on. Based
on these two pieces of information, your
program should generate a calendar for
the year that the user entered.
Print the calendar to an output file
called "xxxxCal" where xxxx is
the year of the calendar. Don't
forget to handle leap years.
- Years divisible by 4 are leap years
unless they are also divisible by 100.
- Years divisible by 100 are not leap
years unless they are also divisible
by 400.
Sample Output:
January 2002
S M T W Th F S
==========================
1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30
February 2002
S M T W Th F S
==========================
1 2 3
4 5 6 7 8 9 10
11 12 13 14 15 16 17
18 19 20 21 22 23 24
25 26 27 28
March 2002
S M T ...
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