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| 1 | +package com.hackerrank.algorithms.recursion; |
| 2 | + |
| 3 | +import java.io.BufferedWriter; |
| 4 | +import java.io.FileWriter; |
| 5 | +import java.io.IOException; |
| 6 | +import java.util.Scanner; |
| 7 | + |
| 8 | +/** |
| 9 | + * Recursive Digit Sum Problem. |
| 10 | + * |
| 11 | + * @link https://www.hackerrank.com/challenges/recursive-digit-sum/problem |
| 12 | + * @author rpatra16 |
| 13 | + * @since 06/11/2018 |
| 14 | + */ |
| 15 | +public class RecursiveDigitSum { |
| 16 | + |
| 17 | + /** |
| 18 | + * Finds the recursive digit sum of n. |
| 19 | + * |
| 20 | + * @param n number |
| 21 | + * @param k the number would be repeated k times |
| 22 | + * @return recursive sum of the digits |
| 23 | + */ |
| 24 | + private static int superDigit(String n, int k) { |
| 25 | + if (n.length() == 1 && k == 0) { |
| 26 | + return Integer.parseInt(n); |
| 27 | + } |
| 28 | + |
| 29 | + Long sum = 0L; |
| 30 | + char[] num = n.toCharArray(); |
| 31 | + for (int i = 0; i < num.length; i++) { |
| 32 | + sum += Long.parseLong(String.valueOf(num[i])); |
| 33 | + } |
| 34 | + |
| 35 | + if (k != 0) sum *= k; |
| 36 | + |
| 37 | + return superDigit(sum.toString(), 0); |
| 38 | + } |
| 39 | + |
| 40 | + private static final Scanner scanner = new Scanner(System.in); |
| 41 | + |
| 42 | + public static void main(String[] args) throws IOException { |
| 43 | + BufferedWriter bufferedWriter = new BufferedWriter(new FileWriter(System.getenv("OUTPUT_PATH"))); |
| 44 | + |
| 45 | + String[] nk = scanner.nextLine().split(" "); |
| 46 | + |
| 47 | + String n = nk[0]; |
| 48 | + |
| 49 | + int k = Integer.parseInt(nk[1]); |
| 50 | + |
| 51 | + int result = superDigit(n, k); |
| 52 | + |
| 53 | + bufferedWriter.write(String.valueOf(result)); |
| 54 | + bufferedWriter.newLine(); |
| 55 | + |
| 56 | + bufferedWriter.close(); |
| 57 | + |
| 58 | + scanner.close(); |
| 59 | + } |
| 60 | +} |
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