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33 lines
655 B
PHP
33 lines
655 B
PHP
<?php
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/**
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* This function solves the problem 9 of the Project Euler.
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*
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* Problem description:
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* A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,
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*
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* a^2 + b^2 = c^2
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*
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* For example:
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*
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* 3^2 + 4^2 = 9 + 16 = 25 = 5^2.
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*
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* There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.
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*/
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/**
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* @return int
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*/
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function problem9(): int
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{
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for ($i = 0; $i <= 300; $i++) {
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for ($j = 0; $j <= 400; $j++) {
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$k = 1000 - $i - $j;
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if ($i * $i + $j * $j === $k * $k) {
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return $i * $j * $k;
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}
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}
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}
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return 0;
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}
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