Let n be a valid input, i.e., a natural number. Which of the following functions returns the same result but without recursion? a) def f(n): a <- 0 b <- 1 if n - 0 return a elsif n - 1 return b else for i in 1..n c <- a + b a <- b b <- c return b

Let n be a valid input, i.e., a natural number. Which of the following functions returns the same result but without recursion? a) def f(n): a <- 0 b <- 1 if n - 0 return a elsif n - 1 return b else for i in 1..n c <- a + b a <- b b <- c return b

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

b) def f(n):
a <- 0
i <- n
while i > O
a <- a + i + (i-1)
return a
c) def f(n):
arr [0] <- 0
arr [1] <- 1
if n <- 1
return arr[n]
else
for i in 2..n
arr[i] <- arr[i-1] + arr[i-2]
return arr[n]
d) def f(n):
[0, ..
arr [0..n] <-
if n <- 1
return arr[n]
n]
else
a <- 0
for i in 0..n
a <- a + arr[i]
return a

The following function f uses recursion:
def f(n):
if n <= 1
return n
else
return f(n-1) + f(n-2)
Let n be a valid input, i.e., a natural number. Which of the following functions returns the same result but without
recursion?
a) def f(n):
a <- 0
ъ <-1
if n = 0
return a
elsif n = 1
return b
else
for i in 1..n
C <- a + b
a <- b
b <- c
return b

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