>>Okay I will be the stupid one to ask the dumb question. Why couldn't it have been 13 red hats and 87 green hats????
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>>I feel stupid, but if you have an answer to that question, please let me know how you did it? Did I miss the obvious as usual?
>
>The problem states there has to be at least 1 Red and 1 Green hat. The problem also states that after 13 days, a number said they had green hats. The next day the rest said they had red hats.
>
>Then follow the logic provided above.

To elaborate.

The first day, let's say I see 1 green hat and 98 red hats. I still do not know if my hat is green or red. I come back on day two, and I still see a green hat and 98 red hats. I have to be wearing a green hat because if I had a red hat that would have made 99 red hats and the lone green hat would have known he had a green if he can count the other 99 red hats.

Let's say on day one, I see 2 green hats and 97 red hats. One of the Green hats sees 97 red, the other Green hat plus mine. On day 2, all 100 are back. If my hat is red, each of the 2 green smurfs now know their own hat is green because on day 1 the green hats saw 98 red and 1 green. If my hat is green, they will not know their color until tomorrow.