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1. [15 marks] Amdahl's Law. On a uniprocessor, perfectly serial portion A of program P1 consumes 15 s, while perfectly parallel portion B consumes 95

1. [15 marks] Amdahl's Law. On a uniprocessor, perfectly serial portion A of program P1 consumes 15 s, while perfectly parallel portion B consumes 95 s. The theoretical maximum speedup for P1 is obtained by using an infinite number of processors.

a) [5 marks] What integral number of processors is required to achieve at least half the theoretical maximum speedup for P1? ans: ____ processors

b) [5 marks] Perfectly serial portion A of larger program P2 consumes 15 s, while perfectly parallel portion B consumes 950 s. What integral number of processors is required to achieve, for P2, at least the theoretical maximum speedup for P1? ans: ____ processors

c) [5 marks] Perfectly serial portion A of even larger program P3 consumes 15 s, while perfectly parallel portion B consumes 9,500 s. What integral number of processors is required to achieve, for P3, at least the theoretical maximum speedup for P1? ans: ____ processors

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