Each puzzle is a rectangle made up completely of smaller squares. These squares have numbers inside that represents the length of their sides. Just knowing a few of the squares side lengths, can you figure out all the size of all the squares in the puzzle?
Start with an nxn grid – you pick the size. Now, split the grid up into (at least two) any-sized squares and rectangles, as long as you don’t repeat the same sized square or the same sized rectangle twice. That’s it! Pretty simple, right? But you might be wondering: “What’s the point?” That’s where it gets a little more tricky. The goal is to find the lowest possible score of whatever n-sized grid you choose. To “score” your Mondrian art, take the area of the largest rectangle or square and subtract from that the area of the smallest.
Place our numbers into the cauldrons in ascending order – you can choose which cauldron each one goes in. However, if two numbers in one cauldron add up to a third number in that same cauldron, they bubble up and cause an explosion! This means that all the numbers, leave the cauldrons, and you must start all over again.
Our goal is to find the largest number we can place in our cauldrons without them exploding… do you think you’re up for this daunting task?