(e) Another recursive algorithm is applied to some data A = (a₁,..., am) where m = 2* (i.e. 2, 4, 8,16 ...) where x is an integer ≥ 1. The running time T is characterised using the following recurrence equations: T(1) = c when the size of A is 1, and c is a constant T(m) = 2T (1) + m otherwise Determine the running time complexity of this algorithm. You will find it helpful to recall that: x=∞0 Σ²/12 - 1 2k x=1 And 2log₂ (x) = x

Computer Networking: A Top-Down Approach (7th Edition)
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(e) Another recursive algorithm is applied to some data A = (a₁,...,am) where
m = 2* (i.e. 2, 4, 8,16 ...) where x is an integer ≥ 1. The running time T is
characterised using the following recurrence equations:
Determine the running time complexity of this algorithm. You will find it helpful
to recall that:
x=∞0
x=1
T(1) = c when the size of A is 1, and c is a constant
T(m) = 2T + m otherwise
1
2k
And
2log2 (x)
→ 1
= X
Transcribed Image Text:(e) Another recursive algorithm is applied to some data A = (a₁,...,am) where m = 2* (i.e. 2, 4, 8,16 ...) where x is an integer ≥ 1. The running time T is characterised using the following recurrence equations: Determine the running time complexity of this algorithm. You will find it helpful to recall that: x=∞0 x=1 T(1) = c when the size of A is 1, and c is a constant T(m) = 2T + m otherwise 1 2k And 2log2 (x) → 1 = X
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