Write a program in r to plot running time vs n for each

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Reference no: EM132174929

USING R, and the 3 programs below

a) Write a program in R from running each of them over a suitable range of n such that you can notice how the running time changes with n (note that the range could vary per function).

b) Write a program in R to plot running time vs n for each function, either as 3 separate plots, or on a single combined plot.

Here are 3 functions implemented in R:

log_factorial <- function (n) { # Return the log of factorial(n) for any integer n > 0 if (n <= 1) return (0) return (log(n) + log_factorial(n - 1)) } sum_log_factorial <- function (n) { # Return the sum of log_factorial(i) for i in 1..n sum <- 0 for(i in seq(1, n, 1)) { sum <- sum + log_factorial(i) } return (sum) } fibonacci <- function(n) { # Return nth Fibonacci number if (n <= 1) return (n) return (fibonacci(n - 1) + fibonacci(n - 2)) }

Reference no: EM132174929

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