ou have 100 people standing in a line, each wearing either a black or white hat. Each person can see the hats of the people standing in front of them, but not their own hat or the hats of anyone behind them. Starting from the back of the line, each person is asked to announce the color of their own hat, and they can only say "black" or "white." How can you maximize the number of people who correctly guess the color of their hat?