It's interesting to see that their claim in the video that people are divided holds true in the real world (okay, the forum world). I chose the two-box approach.
My rationale is simple. The computer predicts very accurately, but it is not all-knowing. If it were all-knowing that would cross into the realm of precognition and fully invalidate the concept of free will. Regardless, once I enter the room, the money in the boxes is already set (no matter what the computer predicted). At that moment in time, the mystery box either contains $1 million or nothing, but it can't change, no matter what I choose at that moment of time. With the two box approach I walk away with either $1000 or $1,001,000, while the single box approach nets me either $0 or $1,000,000. Since the supercomputer prediction was made prior to me even knowing about the scenario, my actions in the moment have no bearing on the mystery box content, so I'll go with the better odds.
It will be fun to see how the divide unfolds (assuming of course that people invest the time to watch the video and vote). I saw it as a thought-provoking scenario that we can have some fun with.