Project Euler > Problem 118 > Pandigital prime sets (Java Solution)

Problem:

Using all of the digits 1 through 9 and concatenating them freely to form decimal integers, different sets can be formed. Interestingly with the set {2,5,47,89,631}, all of the elements belonging to it are prime.

How many distinct sets containing each of the digits one through nine exactly once contain only prime elements?


Solution:

1074

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

public interface EulerSolution{

public String run();

}
/* 
* Solution to Project Euler problem 18
* By Nayuki Minase
*
* http://nayuki.eigenstate.org/page/project-euler-solutions
* https://github.com/nayuki/Project-Euler-solutions
*/


public final class p018 implements EulerSolution {

public static void main(String[] args) {
System.out.println(new p018().run());
}


public String run() {
for (int i = triangle.length - 2; i >= 0; i--) {
for (int j = 0; j < triangle[i].length; j++)
triangle[i][j] += Math.max(triangle[i + 1][j], triangle[i + 1][j + 1]); // Dynamic programming
}
return Integer.toString(triangle[0][0]);
}


private int[][] triangle = {
{75},
{95,64},
{17,47,82},
{18,35,87,10},
{20,04,82,47,65},
{19,01,23,75,03,34},
{88,02,77,73,07,63,67},
{99,65,04,28,06,16,70,92},
{41,41,26,56,83,40,80,70,33},
{41,48,72,33,47,32,37,16,94,29},
{53,71,44,65,25,43,91,52,97,51,14},
{70,11,33,28,77,73,17,78,39,68,17,57},
{91,71,52,38,17,14,91,43,58,50,27,29,48},
{63,66,04,68,89,53,67,30,73,16,69,87,40,31},
{04,62,98,27,23, 9,70,98,73,93,38,53,60,04,23}
};

}


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