wow... i already beat this game on armorgames. i have to learn to wait until they come on Kongregate. at least i know what to expect when i buy the heartrate upgrade.
Here's a tip- whenever there's a clear, unobstructed path to a certain square (with no doors blocking your path), you can get there by taking the path exactly.
one thing to keep in mind is that there is only one solution for each level. therefore, if you have many options of where to put your square, and two options lead to the exact same result, the correct one is one of the others.