## Problem:

Find the smallest x + y + z with integers x [>] y [>] z [>] 0 such that x + y, x [−] y, x + z, x [−] z, y + z, y [−] z are all perfect squares.

162

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

public interface EulerSolution{public String run();}
/*  * Solution to Project Euler problem 42 * By Nayuki Minase *  * http://nayuki.eigenstate.org/page/project-euler-solutions * https://github.com/nayuki/Project-Euler-solutions */public final class p042 implements EulerSolution {		public static void main(String[] args) {		System.out.println(new p042().run());	}			public String run() {		int count = 0;		for (String word : WORDS) {			if (isTriangularNumber(wordValue(word)))				count++;		}		return Integer.toString(count);	}			private static boolean isTriangularNumber(int x) {		for (int i = 1; ; i++) {			int t = i * (i + 1) / 2;			if (t == x)				return true;			if (t > x)				return false;		}	}			private static int wordValue(String s) {		int sum = 0;		for (int i = 0; i < s.length(); i++) {			char c = s.charAt(i);			if (c < 'A' || c > 'Z')				throw new IllegalArgumentException();			sum += c - 'A' + 1;		}		return sum;	}			private static String[] WORDS = 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