I have developed a solution for the pillars puzzles in Smash and Burn. Even though these puzzles always start with the same combination, these solutions will work with any starting combination. The downside to this is that you have to learn a little bit about how to "zero out" the puzzles to my starting positions. This isn't too hard once you get a handle on the process, but I am including videos that demonstrate how to do this as well as how to solve the puzzle. Additionally, at the end of this post you will find written out instructions from the "zero" point.
The general idea of how these puzzles work is that the pillars can have a number 0-4. When you step on a pillar it sucks up 1 from each adjacent (but not diagonal) pillar. It will only pull from these pillars if those pillars have something to give and it can only pull until it reaches 4. They will also suck from higher numbers first, but if it has to choose between equal pillars it will always choose the same one.
I think that about covers it, hope everyone finds this helpful, i'll try and keep an eye out for questions.
Pillar Puzzle Written Guide