結果
問題 | No.2555 Intriguing Triangle |
ユーザー |
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提出日時 | 2023-12-02 00:05:56 |
言語 | Java (openjdk 23) |
結果 |
AC
|
実行時間 | 138 ms / 2,000 ms |
コード長 | 3,171 bytes |
コンパイル時間 | 2,189 ms |
コンパイル使用メモリ | 79,208 KB |
実行使用メモリ | 43,864 KB |
最終ジャッジ日時 | 2024-09-26 16:05:31 |
合計ジャッジ時間 | 7,002 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge3 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 2 |
other | AC * 28 |
ソースコード
import java.util.Optional;import java.util.Scanner;public class Main {private static final double epsilon = 1e-9;public static void main(String[] args) {try (Scanner in = new Scanner(System.in)) {int de = in.nextInt();int ab = in.nextInt();// d// eint ac = in.nextInt();boolean res = false;for (int bd = 1; bd <= 100; bd++) {for (int ec = 1; ec <= 100; ec++) {if (!can_triangle(bd + de + ec, ab, ac)) {continue;}Optional<Double> cos_dba = cosine_formula(ac, ab, bd + de + ec);Optional<Double> cos_eca = cosine_formula(ab, ac, bd + de + ec);if (cos_dba.isEmpty() || cos_eca.isEmpty()) {continue;}double dba = Math.acos(cos_dba.get().doubleValue());double eca = Math.acos(cos_eca.get().doubleValue());Optional<Double> adxad = cosine_formula2(ab, bd, dba);Optional<Double> aexae = cosine_formula2(ac, ec, eca);if (adxad.isEmpty() || aexae.isEmpty()) {continue;}double ad = Math.sqrt(adxad.get().doubleValue());double ae = Math.sqrt(aexae.get().doubleValue());if (!can_triangle(bd, ab, ad)) {continue;}if (!can_triangle(ec, ac, ae)) {continue;}Optional<Double> cos_bad = cosine_formula(bd, ab, ad);Optional<Double> cos_cae = cosine_formula(ec, ac, ae);if (cos_bad.isEmpty() || cos_cae.isEmpty()) {continue;}double bad = Math.acos(cos_bad.get().doubleValue());double cae = Math.acos(cos_cae.get().doubleValue());if (Math.abs(bad - cae) < epsilon) {res = true;}}}System.out.println(res ? "Yes" : "No");}}private static final Optional<Double> cosine_formula(double a, double b, double c) {double cos = (b * b + c * c - a * a) / (2.0d * b * c);if (Math.abs(cos) > 1.0d) {return Optional.empty();}return Optional.of(cos);}private static final Optional<Double> cosine_formula2(double b, double c, double cab) {double axa = b * b + c * c - 2.0 * b * c * Math.cos(cab);if (axa < 0d) {return Optional.empty();}return Optional.of(axa);}private static final boolean can_triangle(double a, double b, double c) {return can_triangle0(a, b, c) || can_triangle0(c, a, b) || can_triangle0(b, c, a);}private static final boolean can_triangle0(double a, double b, double c) {return a >= Math.max(b, c) && a < b + c;}}