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1. (5 points) Consider the following binary operations. For each operation, determine if the parallel prefix algorithm can be used to compute prefix sums of

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1. (5 points) Consider the following binary operations. For each operation, determine if the parallel prefix algorithm can be used to compute prefix sums of a sequence of n operands based on the given binary operation. (a) op(a,b) = 2a + b (b) op(a, b) = ab (a+b) (c) op(a, b) = Va? + b2 (d) opl, 6) = x 7 (x is the vector cross-product in 3D) (Hint: For every , x = 7, and x = 0 1. (5 points) Consider the following binary operations. For each operation, determine if the parallel prefix algorithm can be used to compute prefix sums of a sequence of n operands based on the given binary operation. (a) op(a,b) = 2a + b (b) op(a, b) = ab (a+b) (c) op(a, b) = Va? + b2 (d) opl, 6) = x 7 (x is the vector cross-product in 3D) (Hint: For every , x = 7, and x = 0

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