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Bernard doesn't know her birthday until Albert says that Bernard DOESN'T know the answer.
For Albert to know for sure that Bernard doesn't know her birthday, the correct month can't contain any unique numbers. So May and June are out.
With that information, Bernard figures out the correct date. So we can eliminate the 14th of July/August, because if it was the 14th, knowing that the month can't be May/June wouldn't help.
That means it's either July 16th, August 15th, or August 17th. But Albert is able to figure it out with that information and the month. So it has to be July 16th, because if the answer was in August, he wouldn't know if it was the 15th or the 17th.
>>609781812 Because Albert knows that Bernard doesn't know. Albert wouldn't have known that if Albert had been told it was either may or june, because those contain unique days from which Bernard might be able to deduce the birthday from. So it cant be may or june.
Albert KNOWS that Bernard doesn't know. IF Albert was told May or June, he couldn't know that, because if it was May 19th or June 18th, Bernard WOULD know. Since Albert absolutely does know that Bernard doesn't know, it can't be the months with the unique dates.
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