Question: Problem 1 (20 points) a) (10 pts) Consider two algorithms A and B with running times TA(n)=2000n and TB(n)=n2/1000, respectively. Algorithm A solves instances of

Problem 1 (20 points) a) (10 pts) Consider two algorithms A and B with running times TA(n)=2000n and TB(n)=n2/1000, respectively. Algorithm A solves instances of size n=500 in 1 millisecond. At the same time, algorithm B manages to solve instances of size n=50000. Which one should be used to solve instances of size n=1000000 ? b) (10 pts) How large of a problem can be solved in 1 hour by each algorithm? Show your work for full credit

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