#933334 (C++17) No.2555 Intriguing Triangle

• 問題: No.2555 Intriguing Triangle
• ユーザー: shobonvip
• 提出日時: 2023-12-02 00:11:17
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 2 ms / 2,000 ms
• コード長: 1,206 bytes
• コンパイル時間: 2,375 ms
• コンパイル使用メモリ: 202,040 KB
• 実行使用メモリ: 6,676 KB
• 最終ジャッジ日時: 2023-12-02 00:11:21
• 合計ジャッジ時間: 3,724 ms
• ジャッジサーバーID （参考情報）: judge14 / judge13

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 6,676 KB
testcase_01	AC	2 ms; 6,676 KB
testcase_02	AC	2 ms; 6,676 KB
testcase_03	AC	2 ms; 6,676 KB
testcase_04	AC	2 ms; 6,676 KB
testcase_05	AC	2 ms; 6,676 KB
testcase_06	AC	2 ms; 6,676 KB
testcase_07	AC	2 ms; 6,676 KB
testcase_08	AC	2 ms; 6,676 KB
testcase_09	AC	2 ms; 6,676 KB
testcase_10	AC	2 ms; 6,676 KB
testcase_11	AC	2 ms; 6,676 KB
testcase_12	AC	2 ms; 6,676 KB
testcase_13	AC	2 ms; 6,676 KB
testcase_14	AC	2 ms; 6,676 KB
testcase_15	AC	2 ms; 6,676 KB
testcase_16	AC	2 ms; 6,676 KB
testcase_17	AC	2 ms; 6,676 KB
testcase_18	AC	2 ms; 6,676 KB
testcase_19	AC	2 ms; 6,676 KB
testcase_20	AC	2 ms; 6,676 KB
testcase_21	AC	2 ms; 6,676 KB
testcase_22	AC	2 ms; 6,676 KB
testcase_23	AC	2 ms; 6,676 KB
testcase_24	AC	2 ms; 6,676 KB
testcase_25	AC	2 ms; 6,676 KB
testcase_26	AC	2 ms; 6,676 KB
testcase_27	AC	2 ms; 6,676 KB
testcase_28	AC	2 ms; 6,676 KB
testcase_29	AC	2 ms; 6,676 KB

ソースコード

#include<bits/stdc++.h>
using namespace std;

int main(){
	int a, b, c; cin >> a >> b >> c;

	auto hen_to_cos = [&](double a, double b, double c){
		return (a*a + b*b - c*c) / (2.0*a*b);
	};

	auto exist = [&](int a, int b, int c){
		if (a + b > c && b + c > a && c + a > b) return true;
		return false;	
	};

	const double eps = 1e-7;

	bool mode = false;
	for (int x=a+2; x<b+c; x++){
		if (!exist(x, b, c)) continue;
		double ax = 0.0, ay = 0.0;
		double cx = c, cy = 0.0;
		double bx, by;
		double cos1 = hen_to_cos(b, c, x);
		double sin1 = sqrt(1 - cos1 * cos1);
		bx = cos1 * b;
		by = sin1 * b;
		for (int y=1; ; y++){
			if (x-y-a <= 0) break;
			double dx = bx + (cx - bx) * (double)y / (double)x;
			double dy = by + (cy - by) * (double)y / (double)x;
			double ex = bx + (cx - bx) * (double)(y+a) / (double)x;
			double ey = by + (cy - by) * (double)(y+a) / (double)x;
			double AD = sqrt((dx - ax) * (dx - ax) + (dy - ay) * (dy - ay));
			double AE = sqrt((ex - ax) * (ex - ax) + (ey - ay) * (ey - ay));
			if (abs(hen_to_cos(b, AD, y) - hen_to_cos(c, AE, x-y-a)) < eps){
				mode = true;
				break;
			}
		}
		if (mode) break;
	}

	if (mode){
		cout << "Yes\n";
	}else{
		cout << "No\n";
	}
}