• + 1 comment

    That's still not really a problem: we only need to get the same amount of chocolate to everyone, not to get to 0 chocolates (when we think about this as subtraction)! In most cases, this just means lowering everyone's total to the min, and thinking about it this way gives the correct answer most of the time (as far as I can tell).

    However, we run into some other problems when it would be "better" for us to have a lower min: what if we have 7 7 7 4 4 3? We could lower all of these to 3 in 8 moves (2x -2 for each 7, 1x -1 for each 4), but if we lower everything to 2, then we get fewer moves (1x -5 for each 7, 1x -2 for each 4, 1x -1 for the 3).