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I found this interesting article on Bleacher Report about what could have happened if Bear Bryant would have taken the Dolphin job in 1969 or if Joe Paterno would have taken the Patriot job in 1972, as well as two other scenarios:
Personally, I agree with the one on the Bear. That would have changed history at Alabama and the AFC. As for Paterno, I don't actually know how he would have done at New England. After reading this article, how do you think things could have played out?