Prime Number Check in Python

Posted on September 16, 2014 by Administrator Posted in Computer Science, Python - Advanced, Python Challenges, Solved Challenges

Did you know?

A prime number is a number that has exactly two factors (1 and itself). Which means that a prime number can be divided evenly only by 1, or itself. A prime number must be a whole number greater than 1.

2, 3, 5, 7, 11, 13, 17… are all examples of prime numbers.

Your challenge:

Write a program that prompts the user to enter a number between 1 and 9999. The program will inform the end-user whether their number is a prime number or not.

Hint:

In Python you can easily calculate the remainder of a division using the % sign.

For instance 7 % 2 would return 1.

So to check if a number “a” can be divided evenly by another number “b” you can check if the remainder of a/b is null using if a%b==0

Solution

So let’s look at the following code used to check if a number is a prime number or not.

Extended Challenges

Tweak this code to display all the prime numbers between 1 and 9999.
Write another program that takes a user input and find out if the number being entered is either odd or even.

Solution...

The solution for this challenge is available to full members!
Find out how to become a member:
➤ Members' Area

Barcode Generator – Using Python

Posted on August 28, 2014 by Administrator Posted in Computer Science, Python - Advanced, Python Challenges

For this challenge we are investigating how barcodes are produced. Though there are different standards to produce barcodes, they all follow a similar approach based on binary code!

Did you know?

On a barcode the pattern made using black and white lines is in fact binary code! A black line represents a 1 and a white line a 0.

So the following binary code “0101” consists of a thin white line, a thin black line, a thin white line and a thin black line.

The following binary code “1110” however consists of a large black line (as thick as 3 lines) and a thin white line.

So to produce our own simplified bar codes all we need to know is convert each digit of the actual number into binary (using 4 digit binary codes, aka a nibble)

Decimal	Binary
0	0000
1	0001
2	0010
3	0011
4	0100
5	0101
6	0110
7	0111
8	1000
9	1001

Using Python to generate random barcodes

Your Challenge

Adapt this script to ask the end-user to enter their initials. Use the ASCII table to convert these initials into ASCII and then into binary code to then generate a barcode matching those initials.

Tagged with: Python Challenge

Random Cloud Generator using Python

Posted on July 30, 2014 by Administrator Posted in Computer Science, Python - Advanced, Python Challenges

Can computers produce artwork? In this challenge we are looking at how to write a piece of code to generate a “pretty” graphic.

Our first script will generate a random cloud on a blue sky by drawing several (15 in total) white circles of different sizes and position on the canvas. It uses the randomize library to randomly alter the size and position of these circles.

Your Challenge

Use a similar script to generate a random forest as follows:

Extended Challenge

How could you change your script so that each tree has a different shade of green:

Tagged with: Coordinates, Python Turtle

Recursive vs. Iterative Algorithms

Posted on July 22, 2014 by Administrator Posted in Algorithms, Computer Science, Computing Concepts, Python - Advanced, Python Challenges

The purpose of this blog post is to highlight the differnce between two types of algorithms: Iterative and Recursive algorithms.

The challenge we will focus on is to define a function that returns the result of 1+2+3+4+….+n where n is a parameter.

The Iterative Approach

The following code uses a loop – in this case a counting loop, aka a “For Loop”.
This is the main characteristic of iterative code: it uses loops.

# iterative Function (Returns the result of: 1 +2+3+4+5+...+n)
def iterativeSum(n):
    total=0
    for i in range(1,n+1):  
        total += i
    return total

The Recursive Approach

The following code uses a function that calls itself. This is the main characteristic of a recursive approach.

# Recursive Function (Returns the result of: 1 +2+3+4+5+...+n)
def recursiveSum(n):
    if (n > 1):
        return n + recursiveSum(n - 1)
    else:
        return n

You can visualise/trace this recursive function on recursivevisualizer.com

Let’s see both approaches in action

Your Challenge:

Tweak both functions above to:

add up only even numbers: e.g. 2+4+6+8+….+n-2+n
add up only odd numbers: e.g. 1+3+5+…+n-2+n
add up numbers, counting in 5: e.g. 5+10+15+…+n-5+n

Using CSS to organise text into columns

Posted on July 16, 2014 by Administrator Posted in Computer Science, HTML, CSS & JavaScript

To improve the readability and design of your web pages you may want to organise your text into multiple columns.

See the Pen CSS Columns by 101 Computing (@101Computing) on CodePen.

Your Challenge

Change the above code to split the text in two columns instead of three.

Responsive Columns

A responsive design is a design that adapts to the size of the screen used to display the webpage.

For instance, on a wide screen, splitting your text in three columns maybe appropriate, but the columns may look “skinny” when the page is displayed on a smaller screen. (Tablet, Smart Phone…)

One technique used to adapt the look and feel is to create CSS code for different sizes of screen using the following code:

@media only screen and (max-width: 480px) {
    /* STYLES HERE for BROWSER WINDOWS with a max-width of 480px. This will work on desktops when the window is narrowed.  */
}

You can see what this code will do by resizing your browser window. The text should switch between two or three columns based on the width of your browser window. (For the purpose of this test, you will need to press the “Edit on CodePen” button to display this content on its own window and then be able to resize the window).

See the Pen CSS Columns – Responsive Design by 101 Computing (@101Computing) on CodePen.

Your Challenge

Change the above CSS code to add another section where the text will only use one column for screens/browser windows with a width of 650px or less.

Projectile Motion Formula

Posted on July 3, 2014 by Administrator Posted in Computer Science, Python - Advanced, Python Challenges

Most artillery games are based on the Projectile Motion Formula used to trace the trajectory of a projectile thrown in the air. Due to gravity, its trajectory will be a parabola which shape will vary based on the angle and initial velocity of the projectile.

Use the script below and see what happens when you change the angle. (e.g. use a value between 0 and 90 degrees) or the velocity.

This page helped us with defining the equation for the trajectory of the projectile:
https://en.wikipedia.org/wiki/Projectile_motion

Using the displacement formula we can calculate the position ((x,y) coordinates) of a projectile at any given time.

In these formulas:

represent the starting position. (e.g. position of the tank on the screen),
represents the initial velocity, in other words the initial power/speed that was used to shoot/throw the projectile,
(theta) represents the angle of projection. (At what angle was the projectile thrown)
represents the time in seconds since the object was thrown. (Starts at 0). The number of frames since the object has been thrown can be used as a frame based game display a frame every x milliseconds.)
represents the gravity. (On planet Earth: g = 9.81)

Let’s apply these formula using a Python script using the processing library to create a frame based animation.

Angry Birds, Tanks, Worms, Sports/Ball based games (Basketball…) all use a similar algorithm and formula. Can you think of any other video games based on this formula?

Alternative Approach

An alternative approach to implement this projectile motion formula to a flying object/sprite/ball using a frame based animation is to recalculate the position and velocity vector of the sprite at frame n+1 based at on its position and velocity at frame n:

To do so we will use the following formulas:

In these formulas:

represents the initial velocity, in other words the initial power/speed that was used to shoot/throw the projectile,
(theta) represents the angle of projection. (At what angle was the projectile thrown)
represents the time in seconds since the object was thrown. (Starts at 0). The number of frames since the object has been thrown can be used as a frame based game display a frame every x milliseconds.)
represents the “delta”: the amount of time (milliseconds) between two frames
represents the gravity. (On planet Earth: g = 9.81)

Python Code:

Tagged with: Coordinates

Music Score using Python

Posted on June 29, 2014 by Administrator Posted in Computer Science, Python - Advanced, Python Challenges

In this challenge we are going to use Python to draw a music score by positioning notes on the staff.

Look at the following code:

Your challenge:

Tweak the code given above so that the user can enter several notes at the same time. For instance the user should be able to type “CABFFE”. The program should display all six notes on the staff.

By completing this challenge you will further improve your string manipulation techniques in Python.

Tagged with: Python Challenge

Goal Line Technology

Posted on June 25, 2014 by Administrator Posted in Computer Science, Python - Advanced, Python Challenges

Inspired by the football worldcup we came up with our own Python script to implement the goal line technology.

Rules of the challenge:

Use Python to display the goal line on the screen as well as the two goal posts.

Every time the program is executed it should draw the ball on a random position on the screen.

The program should decide if there is a goal or not. There is a goal if the ball has passed the goal line and is between the two goal posts.

Tip: You will need to use the random Python library to generate random coordinates for the ball.

Our first attempt using Python Turtle

Our second attempt using the processing library

This version is slightly different. The ball follows the mouse pointer. It turns green if you score a goal or red if the ball is out.

You will find everything you need to know about the Processing library using this website and you can look at some of these examples to see how it is used.

You can do some research on the Internet to find out how the goal line technology really works. You will find out that there are different types of systems as explained on this page about goal line technologies.

Tagged with: Coordinates, Python Challenge

Python Turtle Clock

Posted on June 17, 2014 by Administrator Posted in Computer Science, Python - Intermediate, Python Challenges, Solved Challenges

This challenge consists of using the Python turtle library and the datetime library to create a program that displays the current time as an anlogue clock.

To complete this challenge we need to do some angle calculations to understand what angles to use when displaying the small hand (hours) and the big hand (minutes).

Let’s do some calculations…

What angle should you use for the small hand when it is:

3:00 AM
6:00 AM
7:00 AM
3:00PM
5:00PM

What angle should you use for the big hand when it is:

3:30 AM
3:45 AM
3:05 AM

Task 1:

Customise your clock by adding graduations (see picture below) and complete the code to add a third hand for the seconds (between 0 and 60) using a green hand.

Task 2:

In reality the calculation for the small hand’s angle is slightly more complex. For instance when it is 2.45PM the small hand should not be on 2 o’clock but somewhere between 2 and 3 o’clock.

This wikipedia page gives you the exact calculation that you should use to calculate the angle of the small hand.

Your task is to update the above Python code to take into consideration this new angle calculation.

Solution...

The solution for this challenge is available to full members!
Find out how to become a member:
➤ Members' Area

Tagged with: Coordinates, iteration, Python Turtle

Python Turtle Challenge

Posted on June 6, 2014 by Administrator Posted in Computer Science, Python - Intermediate, Python Challenges, Solved Challenges

In this challenge we are going to use the turtle library to draw the following shape:

Step 1: Run the code below:

Step 2: Complete the code to draw the full shape. (You can complete the code in the Trinket widget above).

Hint?

To complete this challenge you need to consider the differences between each of the 4 quadrants:

Solution...

The solution for this challenge is available to full members!
Find out how to become a member:
➤ Members' Area

Tagged with: Coordinates, iteration, Python Turtle

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Did you know?

Your challenge:

Hint:

Solution

Extended Challenges

Solution...

Did you know?

Using Python to generate random barcodes

Your Challenge

Your Challenge

Extended Challenge

The Iterative Approach

The Recursive Approach

Let’s see both approaches in action

Your Challenge:

Your Challenge

Responsive Columns

Your Challenge

Alternative Approach

Your challenge:

Rules of the challenge:

Our first attempt using Python Turtle

Our second attempt using the processing library

Read more

Let’s do some calculations…

Task 1:

Task 2:

Solution...

Hint?

Solution...

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