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6. (7 points) The foldr for lists (as above) is defined as: foldr f g [] = g foldr f g (x:xs) = f x

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6. (7 points) The foldr for lists (as above) is defined as: foldr f g [] = g foldr f g (x:xs) = f x (foldr f g xs) Using foldr write the function group: : (a->a->Bool)-> [a]->[[a]] which, given a predicate p::a->a->Bool and a list, breaks the list into a series of (longest possible) sublists in which any two consecutive elements satisfy the predicate (in particular grouping the empty list will give the list containing the empt list) . For example, suppose that the predicate nbr determines whether two integers differ by at most one, then group nbr [] = [[]] group nbr [2,1,3,4,5,5,4,7,4,3, 3] [[2,1], [3,4,5,5,4],[7], [4,3,3]]

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