Write a recursive method largestDigitthat accepts an integer parameter and returns the largest digit value that appears in that integer. Your method should work for both positive and negative numbers. If a number contains only a single digit, that digit's value is by definition the largest. The following table shows several example calls: Call Value Returned largestDigit(14263203) 6 largestDigit(845) 8 largestDigit(52649) 9 largestDigit(3) 3 largestDigit(0) 0 largestDigit(-573026) 7 largestDigit(-2) 2 Obey the following restrictions in your solution: You may not use a String, Scanner, array, or any data structure (list, stack, map, etc.). Your method must be recursive and not use any loops (for, while, etc.). Your solution should run in no worse than O(N) time, where N is the number of digits in the number.

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
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  1. Write a recursive method largestDigitthat accepts an integer parameter and returns the largest digit value that appears in that integer. Your method should work for both positive and negative numbers. If a number contains only a single digit, that digit's value is by definition the largest. The following table shows several example calls:

Call

Value Returned

largestDigit(14263203)

6

largestDigit(845)

8

largestDigit(52649)

9

largestDigit(3)

3

largestDigit(0)

0

largestDigit(-573026)

7

largestDigit(-2)

2

Obey the following restrictions in your solution:

  • You may not use a String, Scanner, array, or any data structure (list, stack, map, etc.).
  • Your method must be recursive and not use any loops (for, while, etc.).
  • Your solution should run in no worse than O(N) time, where N is the number of digits in the number.
Expert Solution
Step 1: algorithm

if (num == 0)
return 0;
num = Math.abs(num);
int lastNum = num % 10;
int otherDigits = num / 10;
int recursiveLastNum = largestDigit(otherDigits);
//System.out.println(recursiveLastNum);
return Math.max(lastNum, recursiveLastNum);
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