Given an algorithm with the recurrence relation of T(n) = T(n-1) +n. what is the Big O runtime? This equation means that there is a function that when called with input size n, it performs n work and then recursively calls the function for the n-1 case. Assume T(0) = 1. Pick ONE option O o(nlog(n)) O(n*(log(n)!) O(log(n)) O (n^2)

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
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18. Recurrence Relation to Runtime
Given an algorithm with the recurrence relation of T(n) = T(n-1) + n, what is the Big O runtime? This equation means that there is a function that when called with input size n, it
performs n work and then recursively calls the function for the n-1 case.
13
Assume T(0) = 1.
14
Pick ONE option
15
O(nlog(n))
O o(n*(log(n)!)
16
O O(log(n))
17
18
(n^2)
Clear Selection
19
20
Transcribed Image Text:ALL 18. Recurrence Relation to Runtime Given an algorithm with the recurrence relation of T(n) = T(n-1) + n, what is the Big O runtime? This equation means that there is a function that when called with input size n, it performs n work and then recursively calls the function for the n-1 case. 13 Assume T(0) = 1. 14 Pick ONE option 15 O(nlog(n)) O o(n*(log(n)!) 16 O O(log(n)) 17 18 (n^2) Clear Selection 19 20
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