Created
September 25, 2017 11:14
-
-
Save javamultiplex/5c4d2650e1352cc755b21b5f24e40cae to your computer and use it in GitHub Desktop.
Project Euler Problem 9 : Pythagorean triplet
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
package com.javamultiplex.projecteuler; | |
/** | |
* | |
* @author Rohit Agarwal | |
* @category Project Euler Problems | |
* @problem Problem 9 | |
* | |
*/ | |
public class Problem9 { | |
public static void main(String[] args) { | |
int limit = 1000, a, b, c, result; | |
for (int i = 1; i < limit; i++) { | |
a = i; | |
/* | |
* if a+b+c=n and c^2=a^2+b^2 on solving above equations we can find | |
* value of b in terms of a and n b=(n^2-2an)/2(n-a) | |
*/ | |
b = (int) ((Math.pow(limit, 2) - 2 * a * limit) / (2 * (limit - a))); | |
c = limit - b - a; | |
if (isPythagoreanTriplet(a, b, c)) { | |
if (a + b + c == limit) { | |
result = a * b * c; | |
System.out.println("Pythagorean triplet for which a + b + c = 1000 is : "+ result); | |
break; | |
} | |
} | |
} | |
} | |
// a,b and c are Pythagorean Triplets if c>b>a and c^2=a^2+b^2 | |
private static boolean isPythagoreanTriplet(int a, int b, int c) { | |
boolean result = false; | |
if (c > b && b > a) { | |
if (c * c == a * a + b * b) { | |
result = true; | |
} | |
} | |
return result; | |
} | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment