1. These are the predefined MPI reduction operations: MPI BAND, MPI BOR, MPI BXOR, MPI LAND, MPI LOR, MPI LXOR, MPI MAX, MPI MAXLOC MPI MIN, MPI MINLOC, MPI PROD. MPI SUM. Which operations can be used with floating point types like MPI FLOAT or MPI DOUBLE? Which operations cannot be used with C integer types like MPI INT? All of the operations are associative, of course. Associative operations may or may not be commutative: a b = b a; invertible: for every a there is an inverse a-1 such that a-1 ( a b) = b and ( ba) a-1 = b. Characterize each of the operations that can be used with MPI-INT by whether it is commutative and whether it is invertible. Give an example of an associative, non-commutative operation that can be applied to integers