Media sources have said that the total eclipse will be visible in 12 states, and it is true that the center of the path of totality will go through exactly 12 states, However, the path of totality as a whole will also nick the southwestern corners of two other states. And when I say nick, I mean it. Totality will be just experienced in about three square miles of one such state and less than a square mile of the other state. Name both states.
Montana, Iowa (Indiana is almost a third, but the edge of the path misses its southwestern corner by about 5 miles.)