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Solve the following recurrence equations using recursion tree method : a) T(n)= 3T(n/3) + n/2 ; T(1)=1 . (Assume that n is a power of

Solve the following recurrence equations using recursion tree method:

a) T(n)= 3T(n/3) + n/2 ; T(1)=1 . (Assume that n is a power of 3)

b) T(n)= 4T(n/2) + 2n ; T(1)=1 . (Assume that n is a power of 2)

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