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Data Structure and Algorithm in Java

Question 1. (21 points) Solve the following recurrences using master theorem: a. T(n) T(n/3)+1 b. T(n) 2T(n/4) +n log n c. T(

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Answer #1
a)
T(n) = T(n/3)+1 This is in the form of T(n) = a1) + f(n) so, we can use masters theorem. compare nga with f(n) a = 1, b = 3

b)
T(n) = 2T (n/4) +n logn This is in the form of T(n) = a1) + f(n) so, we can use masters theorem. compare nga with f(n) a = 2

c)
T(n) = 2T (n/2) +n logn This is in the form of T(n) = a1) + f(n) So, we can use masters theorem. compare nga with f(n) a = 2
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