29 lines
721 B
Java
29 lines
721 B
Java
package ProjectEuler;
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/**
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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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* <p>a^2 + b^2 = c^2 For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2.
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*
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* <p>There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.
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*
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* <p>link: https://projecteuler.net/problem=9
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*/
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public class Problem09 {
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public static void main(String[] args) {
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assert solution1() == 31875000;
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}
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private static int solution1() {
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for (int i = 0; i <= 300; ++i) {
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for (int j = 0; j <= 400; ++j) {
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int 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 -1; /* should not happen */
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}
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}
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