Question: 1. Using the tree method, estimate upper bound for the running time of the following recurrences: (a) T(n) = 3T(n/4) + cn (b) T(n) =

1. Using the tree method, estimate upper bound for the running time of the following recurrences:

(a) T(n) = 3T(n/4) + cn

(b) T(n) = 2T(n-5) + 1

(c) T(n) = 4T(n/2) + cn2

2. Using the Master theorem, solve each of the following recurrences:

(a) T(n) = 4T(n/3) + n2

(b) T(n) = 3T(n/2) + 2n

(c) T(n) = 2T(n/3) + 1

(d) T(n) = 2T(n/4) + 15n

(e) T(n) = 3T(2n/3) + n2

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