結果

問題 No.2180 Comprehensive Line Segments
ユーザー MasKoaTSMasKoaTS
提出日時 2022-12-18 14:06:34
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
(最新)
AC  
(最初)
実行時間 -
コード長 4,573 bytes
コンパイル時間 2,177 ms
コンパイル使用メモリ 218,040 KB
実行使用メモリ 8,064 KB
最終ジャッジ日時 2024-05-08 11:28:31
合計ジャッジ時間 4,182 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
6,812 KB
testcase_01 AC 2 ms
6,940 KB
testcase_02 AC 1 ms
6,940 KB
testcase_03 AC 113 ms
7,808 KB
testcase_04 AC 2 ms
6,940 KB
testcase_05 AC 1 ms
6,940 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 2 ms
6,940 KB
testcase_08 AC 1 ms
6,940 KB
testcase_09 AC 85 ms
7,936 KB
testcase_10 AC 96 ms
7,808 KB
testcase_11 AC 123 ms
7,936 KB
testcase_12 AC 41 ms
6,944 KB
testcase_13 AC 119 ms
7,936 KB
testcase_14 AC 109 ms
7,936 KB
testcase_15 AC 133 ms
8,064 KB
testcase_16 AC 8 ms
6,944 KB
testcase_17 AC 18 ms
6,944 KB
testcase_18 AC 123 ms
7,936 KB
testcase_19 AC 44 ms
6,940 KB
testcase_20 AC 2 ms
6,944 KB
testcase_21 AC 16 ms
6,944 KB
testcase_22 AC 2 ms
6,940 KB
testcase_23 AC 4 ms
6,940 KB
testcase_24 AC 2 ms
6,944 KB
testcase_25 AC 8 ms
6,940 KB
testcase_26 WA -
testcase_27 WA -
testcase_28 AC 19 ms
6,940 KB
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ソースコード

diff # 

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
template <class T>	using V = vector<T>;


const double EPS = 1e-10;
struct EpsilonDouble {
	double x;

	EpsilonDouble(void) {
		x = 0.0;
	}

	EpsilonDouble(double x) {
		this->x = x;
	}

	static EpsilonDouble zero() {
		return EpsilonDouble();
	}

	EpsilonDouble operator+(void) const {
		return EpsilonDouble(this->x);
	}

	EpsilonDouble operator-(void) const {
		return EpsilonDouble(-this->x);
	}

	EpsilonDouble operator+(const EpsilonDouble other) const {
		return EpsilonDouble(this->x + other.x);
	}

	EpsilonDouble operator-(const EpsilonDouble other) const {
		return EpsilonDouble(this->x - other.x);
	}

	EpsilonDouble operator*(const EpsilonDouble other) const {
		return EpsilonDouble(this->x * other.x);
	}

	EpsilonDouble operator/(const EpsilonDouble other) const {
		return EpsilonDouble(this->x / other.x);
	}

	bool operator==(const EpsilonDouble other) const {
		return (abs(this->x - other.x) < EPS);
	}

	bool operator!=(const EpsilonDouble other) const {
		return (((*this) == other) == false);
	}

	bool operator<(const EpsilonDouble other) const {
		return ((*this) != other and this->x < other.x);
	}

	bool operator>(const EpsilonDouble other) const {
		return ((*this) != other and this->x > other.x);
	}
};

EpsilonDouble abs(EpsilonDouble x) {
	if (x < EpsilonDouble::zero()) {
		return -x;
	}
	return x;
}

int sgn(EpsilonDouble x) {
	if (x < EpsilonDouble::zero()) {
		return -1;
	}
	else if (x > EpsilonDouble::zero()) {
		return 1;
	}
	return 0;
}


template <class T>
struct Vector2 {
	T x;
	T y;

	Vector2(void) {

	}

	Vector2(T x, T y) {
		this->x = x;
		this->y = y;
	}

	static Vector2 normalize(Vector2 v) {
		T norm = v.x * v.x + v.y * v.y;
		return Vector2(v.x * abs(v.x) / norm, v.y * abs(v.y) / norm);
	}

	static bool same_inclination(Vector2& v1, Vector2& v2) {
		return (v1 * v2 == 0 and (v1.x * v2.x > 0 or v1.y * v2.y > 0));
	}

	Vector2 operator+(const Vector2 other) const {
		return Vector2(this->x + other.x, this->y + other.y);
	}

	Vector2 operator-(const Vector2 other) const {
		return Vector2(this->x - other.x, this->y - other.y);
	}

	T operator*(const Vector2 other) const {
		return this->x * other.y - this->y * other.x;
	}

	bool operator<(const Vector2 other) const {
		return tie(this->x, this->y) < tie(other.x, other.y);
	}

	bool operator==(const Vector2 other) const {
		return tie(this->x, this->y) == tie(other.x, other.y);
	}

	bool operator!=(const Vector2 other) const {
		return tie(this->x, this->y) != tie(other.x, other.y);
	}
};


int main(void) {
	int N;	cin >> N;
	V<Vector2<EpsilonDouble> > P(N);
	for (auto& p : P) {
		double x, y;	cin >> x >> y;
		p.x = EpsilonDouble(x);
		p.y = EpsilonDouble(y);
	}

	if (N == 1) {
		cout << 1 << endl;
		return 0;
	}

	V<V<Vector2<EpsilonDouble> > > vec_lis(N, V<Vector2<EpsilonDouble> >(N));
	V<V<V<int> > > dp(1 << N, V<V<int> >(N, V<int>(N, N)));
	for (int i = 0; i < N; ++i) {
		for (int j = 0; j < N; ++j) {
			if (i == j) {
				continue;
			}
			vec_lis[i][j] = Vector2<EpsilonDouble>::normalize(P[j] - P[i]);
			dp[(1 << i) | (1 << j)][i][j] = 1;
		}
	}

	int goal = (1 << N) - 1;
	for (int b_now = 3; b_now < goal; ++b_now) {
		for (int v_prev = 0; v_prev < N; ++v_prev) {
			for (int v_now = 0; v_now < N; ++v_now) {
				if (v_prev == v_now or dp[b_now][v_prev][v_now] == N or ((b_now >> v_prev) & 1) == 0 or ((b_now >> v_now) & 1) == 0) {
					continue;
				}
				int c_now = dp[b_now][v_prev][v_now], c_next = 0;
				Vector2<EpsilonDouble>& v1 = vec_lis[v_prev][v_now];
				for (int v_next1 = 0; v_next1 < N; ++v_next1) {
					for (int v_next2 = 0; v_next2 < N; ++v_next2) {
						if (v_next1 == v_next2 or (((b_now >> v_next1) & 1) and v_now != v_next1) or ((b_now >> v_next2) & 1)) {
							continue;
						}
						int b_next = b_now | (1 << v_next1) | (1 << v_next2);
						Vector2<EpsilonDouble>& v2 = vec_lis[v_now][v_next1], v3 = vec_lis[v_next1][v_next2];
						if (v_now == v_next1) {
							c_next = c_now + 1 - (v1 == v3);
						}
						else {
							int d = (v1 == v2) + (v2 == v3);
							if (d == 0) {
								int s1 = sgn(v1 * v2), s2 = sgn(v2 * v3), s3 = sgn(v1 * v3);
								d = (s1 == s2 and s2 == s3);
							}
							c_next = c_now + 2 - d;
						}
						if (dp[b_next][v_next1][v_next2] <= c_next) {
							continue;
						}
						dp[b_next][v_next1][v_next2] = c_next;
					}
				}
			}
		}
	}

	int ans = N;
	for (auto v : dp[goal]) {
		for (auto k : v) {
			if (ans <= k) {
				continue;
			}
			ans = k;
		}
	}
	cout << ans << endl;

	return 0;
}
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