Computer Sciences > GATE 2026 SET-1 > Recurrence Relations
Consider the following recurrence relations:
For all n > 1,
T1(n) = 4T1(n/2) + T2(n)
T2(n) = 5T2(n/4) + Θ(log2n)

Assume that for all n ≤ 1, T1(n) = 1 and T2(n) = 1.
Which one of the following options is correct?
A
T1(n) = Θ(n2)
B
T1(n) = Θ(n2 log2n)
C
T1(n) = Θ(nlog45)
D
T1(n) = Θ(nlog45 log2n)

Correct : a

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