D 4) T(n)=T([n/2])+T(\n/2])+(5n+12)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which recurrence relation describes a function that has the same asymptotic
growth as Tin), defined by the recurrence relation:
T(n) - 2 T(n/2) + 0(n)
1) T(n) = T([n/21) + 17
2) T(n) = T([n/2]) + T([n/2]) + 5²
3) T(n) = T([n/2]) + 12n
O 4) T(n) =T([n/20) +T(\n/2]) + (5n+12)
Transcribed Image Text:Which recurrence relation describes a function that has the same asymptotic growth as Tin), defined by the recurrence relation: T(n) - 2 T(n/2) + 0(n) 1) T(n) = T([n/21) + 17 2) T(n) = T([n/2]) + T([n/2]) + 5² 3) T(n) = T([n/2]) + 12n O 4) T(n) =T([n/20) +T(\n/2]) + (5n+12)
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