Question 5. Visualizing identities

Write a program that with an input of a positive odd number (not more than 30) gives as output the visual representation of the sum of positive odd numbers up to the given number.

Observation: the formula for the sum of consecutive odd natural numbers is:

1 + 3 + 5 + ... + (2 p + 1) = p2 - see the image to understand why this is a visual “proof”.

For 1+3+5+7+9=25, the output should look similar to this :

color with the same color the disks belonging to the same number (see image for 1 + 3 + 5 = 32 )