Computers and Technology

Farmer John has recently acquired NN new cows (3≤N≤5×105)(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.

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Farmer John has recently acquired NN new cows (3≤N≤5×105)(3≤N≤5×105), each of whose breed is either...

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