Project Euler > Problem 38 > Pandigital multiples (Java Solution)

Problem:

Take the number 192 and multiply it by each of 1, 2, and 3:

192 [×] 1 = 192
192 [×] 2 = 384
192 [×] 3 = 576

By concatenating each product we get the 1 to 9 pandigital, 192384576. We will call 192384576 the concatenated product of 192 and (1,2,3)

The same can be achieved by starting with 9 and multiplying by 1, 2, 3, 4, and 5, giving the pandigital, 918273645, which is the concatenated product of 9 and (1,2,3,4,5).

What is the largest 1 to 9 pandigital 9-digit number that can be formed as the concatenated product of an integer with (1,2, ... , n) where n [>] 1?


Solution:

932718654


Code:
The solution may include methods that will be found here: Library.java .

public interface EulerSolution{

public String run();

}
/* 
 * Solution to Project Euler problem 38
 * By Nayuki Minase
 * 
 * http://nayuki.eigenstate.org/page/project-euler-solutions
 * https://github.com/nayuki/Project-Euler-solutions
 */

import java.util.Arrays;


public final class p038 implements EulerSolution {
 
 public static void main(String[] args) {
  System.out.println(new p038().run());
 }
 
 
 public String run() {
  int max = -1;
  for (int n = 2; n <= 9; n++) {
   for (int i = 1; i < Library.pow(10, 9 / n); i++) {
    String concat = "";
    for (int j = 1; j <= n; j++)
     concat += i * j;
    if (isPandigital(concat))
     max = Math.max(Integer.parseInt(concat), max);
   }
  }
  return Integer.toString(max);
 }
 
 
 private static boolean isPandigital(String s) {
  if (s.length() != 9)
   return false;
  char[] temp = s.toCharArray();
  Arrays.sort(temp);
  return new String(temp).equals("123456789");
 }
 
}


No comments :

Post a Comment

Follow Me

If you like our content, feel free to follow me to stay updated.

Subscribe

Enter your email address:

We hate spam as much as you do.

Upload Material

Got an exam, project, tutorial video, exercise, solutions, unsolved problem, question, solution manual? We are open to any coding material. Why not upload?

Upload

Copyright © 2012 - 2014 Java Problems  --  About  --  Attribution  --  Privacy Policy  --  Terms of Use  --  Contact