use summation to analyze the running time (i.e. T(n)) of these functions and able to find some simple function f(n) such that T(n) = Θ(f(n)). show the steps, please (h) FuncH(n)s = 0i = 1while (i < n) dofor j = 1 to n doi = i+ 1s = s+i+j(f) FuncF(n)s = 0for i = 1 to n dofor j = i to n² dofor k = j to n³ doreturn s3s = s +i+jreturn s

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use summation to analyze the running time (i.e. T(n)) of these functions and able to find some simple function f(n) such that T(n) = Θ(f(n)).

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter10: Application Development

Section: Chapter Questions

Problem 6VE

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Concept explainers

Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.

Question

use summation to analyze the running time (i.e. T(n)) of these functions and able to find some simple function f(n) such that T(n) = Θ(f(n)). show the steps, please

(h) FuncH(n)
s = 0
i = 1
while (i < n) do
for j = 1 to n do
i = i+ 1
s = s+i+j
(f) FuncF(n)
s = 0
for i = 1 to n do
for j = i to n² do
for k = j to n³ do
return s
3
s = s +i+j
return s

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