Here's a potential winning strategy: take a coin out of your pocket and flip it 100 times. If it lands heads 51 or more times, take both boxes; otherwise, just take the one. Provided the computer had anticipated you being the kind of person that would do this, it would anticipate you are probabilistically more likely to take the single box exclusively and put the million dollars in it. Regardless of the outcome of the coin tosses, you get that million dollar box, and you still get the added $1000 in the first box 49% of the time.