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package ProjectEuler;

/**

* A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,

*

* <p>a^2 + b^2 = c^2 For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2.

*

* <p>There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.

*

* <p>link: https://projecteuler.net/problem=9

*/

public class Problem09 {

public static void main(String[] args) {

assert solution1() == 31875000;

}

private static int solution1() {

for (int i = 0; i <= 300; ++i) {

for (int j = 0; j <= 400; ++j) {

int k = 1000 - i - j;

if (i * i + j * j == k * k) {

return i * j * k;

}

}

}

return -1; /* should not happen */

}

}