Consider the following recursive function:
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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
Transcribed Image Text:8. Recursion.
Consider the following recursive function:
public static String f(int n) {
if (n <= 0) return "0";
if (n == 1) return "1";
String first = f (n/2);
String second = f(n
}
(a) Complete the following table by filling in the values of f (2) and f (4).
n
0
O
n/2);
return first + " " +n + " " + second;
1
2
4
true false
f(n)
"0"
(b) Mark each of the following statements as either true or false.
"1"
f (8) returns a string containing 15 integers, separated by
whitespace.
If n is a power of 2, then f(n) returns a string containing
2n-1 integers, separated by whitespace.
If n is even, then f(n) returns a palindromic string the
string is equal to its reverse.
Suppose that the last statement is replaced by
"1" +n + " + first;
11
return second +
Then, for every integer argument n, the modified function
returns the reverse of the string returned by f(n).
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