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2. (12 points) Solve the recurrence relations below. Indicate which strategy you are using and show your work. Big-theta or exact answer required? Big-theta. On

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2. (12 points) Solve the recurrence relations below. Indicate which strategy you are using and show your work. Big-theta or exact answer required? Big-theta. On any problem where it is appropriate to use the Master Theorem, big-theta is sufficient (you can't get better from the theorem). But if the master theorem doesn't apply for a certain problem (hint, hint), you'll have to use another technique like telescoping, or filling out a table and doing guess and check. And then you'll have an exact answer anyway on your way to getting big-theta. So write the exact answer too as part of your solution. a. T(1)=1,T(N)=2T(N/4)+N0.5 b. T(1)=1,T(N)=T(N2)+2, assuming N is odd. c. T(1)=1,T(N)=3T(N/2)+2N

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