Farmer john has recently acquired n new cows (3≤n≤5×105), each of whose breed is either guernsey or holstein. The cows are currently standing in a line, and farmer john wants take a photo of every sequence of three or more consecutive cows. However, he doesn't want to take a photo in which there is exactly one cow whose breed is guernsey or exactly one cow whose breed is holstein --- he reckons this singular cow would feel isolated and self-conscious. After taking a photo of every sequence of three or more cows, he throws out all of these so-called "lonely" photos, in which there is exactly one guernsey or exactly one holstein. Given the lineup of cows, please help farmer john determine how many lonely photos he will throw out. Two photos are different if they start or end at different cows in the lineup.