結果

問題 No.96 圏外です。
ユーザー tancahn2380tancahn2380
提出日時 2019-09-07 20:09:08
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
TLE  
実行時間 -
コード長 13,503 bytes
コンパイル時間 3,482 ms
コンパイル使用メモリ 237,188 KB
実行使用メモリ 170,440 KB
最終ジャッジ日時 2023-09-09 09:57:32
合計ジャッジ時間 13,668 ms
ジャッジサーバーID
(参考情報)
judge15 / judge12
このコードへのチャレンジ(β)

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 70 ms
157,252 KB
testcase_01 AC 69 ms
157,064 KB
testcase_02 AC 69 ms
157,068 KB
testcase_03 AC 69 ms
157,248 KB
testcase_04 AC 71 ms
157,284 KB
testcase_05 AC 73 ms
157,608 KB
testcase_06 AC 76 ms
157,836 KB
testcase_07 AC 78 ms
157,864 KB
testcase_08 AC 83 ms
158,084 KB
testcase_09 AC 88 ms
158,720 KB
testcase_10 AC 95 ms
158,964 KB
testcase_11 AC 95 ms
159,852 KB
testcase_12 AC 103 ms
160,604 KB
testcase_13 AC 120 ms
160,888 KB
testcase_14 AC 130 ms
162,208 KB
testcase_15 AC 159 ms
162,664 KB
testcase_16 AC 166 ms
164,540 KB
testcase_17 AC 175 ms
166,760 KB
testcase_18 AC 196 ms
166,280 KB
testcase_19 AC 195 ms
166,204 KB
testcase_20 AC 245 ms
163,812 KB
testcase_21 AC 347 ms
166,196 KB
testcase_22 TLE -
testcase_23 -- -
testcase_24 -- -
testcase_25 -- -
testcase_26 -- -
testcase_27 -- -
権限があれば一括ダウンロードができます

ソースコード

diff #

# include "bits/stdc++.h"
using namespace std;
using LL = long long;
using ULL = unsigned long long;
const double PI = acos(-1);
template<class T>constexpr T INF() { return ::std::numeric_limits<T>::max(); }
template<class T>constexpr T HINF() { return INF<T>() / 2; }
template <typename T_char>T_char TL(T_char cX) { return tolower(cX); };
template <typename T_char>T_char TU(T_char cX) { return toupper(cX); };
const int vy[] = { -1, -1, -1, 0, 1, 1, 1, 0 }, vx[] = { -1, 0, 1, 1, 1, 0, -1, -1 };
const int dx[4] = { 0,1,0,-1 }, dy[4] = { 1,0,-1,0 };
int popcnt(unsigned long long n) { int cnt = 0; for (int i = 0; i < 64; i++)if ((n >> i) & 1)cnt++; return cnt; }
int d_sum(LL n) { int ret = 0; while (n > 0) { ret += n % 10; n /= 10; }return ret; }
int d_cnt(LL n) { int ret = 0; while (n > 0) { ret++; n /= 10; }return ret; }
LL gcd(LL a, LL b) { if (b == 0)return a; return gcd(b, a%b); };
LL lcm(LL a, LL b) { LL g = gcd(a, b); return a / g*b; };
# define ALL(qpqpq)           (qpqpq).begin(),(qpqpq).end()
# define UNIQUE(wpwpw)        sort(ALL((wpwpw)));(wpwpw).erase(unique(ALL((wpwpw))),(wpwpw).end())
# define LOWER(epepe)         transform(ALL((epepe)),(epepe).begin(),TL<char>)
# define UPPER(rprpr)         transform(ALL((rprpr)),(rprpr).begin(),TU<char>)
# define FOR(i,tptpt,ypypy)   for(LL i=(tptpt);i<(ypypy);i++)
# define REP(i,upupu)         FOR(i,0,upupu)
# define INIT                 std::ios::sync_with_stdio(false);std::cin.tie(0)

//定義系

double EPS = 1e-10;

//誤差を考慮して足し算を行う
double add(double a, double b) {
	if (abs(a + b) < EPS*(abs(a) + abs(b)))return 0;
	return a + b;
}

//Point
struct Point {
	double x, y;
	Point() {}
	Point(double x, double y) :x(x), y(y) {
	}
	Point operator + (Point p) {
		return Point(add(x, p.x), add(y, p.y));
	}
	Point operator - (Point p) {
		return Point(add(x, -p.x), add(y, -p.y));
	}
	Point operator * (double d) {
		return Point(x*d, y*d);
	}
	Point operator / (double d) {
		return Point(x / d, y / d);
	}
	//内積
	double dot(Point p) {
		return add(x*p.x, y*p.y);
	}
	//外積
	double det(Point p) {
		return add(x*p.y, -y*p.x);
	}
	//点の大小比較
	bool operator <(const Point &p)const {
		if (fabs(add(x, -p.x)) < EPS)return y < p.y;
		return x < p.x;
	}
	bool operator ==(const Point &p)const {
		return fabs(x - p.x) < EPS&&fabs(y - p.y) < EPS;
	}
};

//ベクトル。使い分けるといいかも
typedef Point Vector;

//ベクトルの大きさの2乗
double norm(Vector p) {
	return p.x*p.x + p.y*p.y;
}

//ベクトルの大きさ
double abs(Vector p) {
	return sqrt(norm(p));
}

//線分
struct Segment {
	Point p1, p2;
};

//直線
typedef Segment Line;

//中心c,半径rの円
struct Circle {
	Point c;
	double r;
	Circle(Point c = Point(), double r = 0.0) :c(c), r(r) {}
};

//多角形
typedef vector<Point> Polygon;

//頂点集合
typedef vector<Point> Points;

//計算・アルゴリズム系


//反時計回りCCW
static const int COUNTER_CLOCKWISE = 1;
static const int CLOCKWISE = -1;
static const int ONLINE_BACK = 2;
static const int ONLINE_FRONT = -2;
static const int ON_SEGMENT = 0;
int ccw(Point p0, Point p1, Point p2) {
	Vector a = p1 - p0;
	Vector b = p2 - p0;
	if (a.det(b) > EPS)return COUNTER_CLOCKWISE;
	if (a.det(b) < -EPS)return CLOCKWISE;
	if (a.dot(b) < -EPS)return ONLINE_BACK;
	if (norm(a) < norm(b))return ONLINE_FRONT;

	return ON_SEGMENT;
}

//線分p1p2と線分p3p4の交差判定
bool intersect(Point p1, Point p2, Point p3, Point p4) {
	return (ccw(p1, p2, p3)*ccw(p1, p2, p4) <= 0 && ccw(p3, p4, p1)*ccw(p3, p4, p2) <= 0);
}
bool intersect(Segment s1, Segment s2) {
	return intersect(s1.p1, s1.p2, s2.p1, s2.p2);
}

static const int ICC_SEPERATE = 4;
static const int ICC_CIRCUMSCRIBE = 3;
static const int ICC_INTERSECT = 2;
static const int ICC_INSCRIBE = 1;
static const int ICC_CONTAIN = 0;

//円と円の交差判定
int intersect(Circle c1, Circle c2) {
	if (c1.r<c2.r) swap(c1, c2);
	double d = abs(c1.c - c2.c);
	double r = c1.r + c2.r;
	if (d == r) return ICC_CIRCUMSCRIBE;
	if (d>r) return ICC_SEPERATE;
	if (d + c2.r== c1.r) return ICC_INSCRIBE;
	if (d + c2.r<c1.r) return ICC_CONTAIN;
	return ICC_INTERSECT;
}

//ベクトルa,bの直交判定
bool isOrthogonal(Vector a, Vector b) {
	return a.dot(b) == 0.0;
}
bool isOrthogonal(Point a1, Point a2, Point b1, Point b2) {
	return isOrthogonal(a1 - a2, b1 - b2);
}
bool isOrthogonal(Segment s1, Segment s2) {
	return (s1.p2 - s1.p1).dot(s2.p2 - s2.p1) == 0.0;
}

//ベクトルa,bの並行判定
bool isParallel(Vector a, Vector b) {
	return a.det(b) == 0.0;
}
bool isParallel(Point a1, Point a2, Point b1, Point b2) {
	return isParallel(a1 - a2, b1 - b2);
}
bool isParallel(Segment s1, Segment s2) {
	return (s1.p2 - s1.p1).det(s2.p2 - s2.p1) == 0.0;
}

//射影(点p1と点p2を通る直線に点pから垂線を引いた交点xを求める)
Point project(Segment s, Point p) {
	Vector base = s.p2 - s.p1;
	double r = (p - s.p1).dot(base) / norm(base);
	return s.p1 + base*r;
}

//反射(点p1と点p2を通る直線を対象軸として点pと線対称の位置にある点xを求める)
Point reflect(Segment s, Point p) {
	return p + (project(s, p) - p)*2.0;
}

//点aと点bの距離
double getDistance(Point a, Point b) {
	return abs(a - b);
}

//直線lと点pの距離
double getDistanceLP(Line l, Point p) {
	return abs((l.p2 - l.p1).det(p - l.p1) / abs(l.p2 - l.p1));
}

//線分sと点pの距離
double getDistanceSP(Segment s, Point p) {
	if ((s.p2 - s.p1).dot(p - s.p1) < 0.0)return abs(p - s.p1);
	if ((s.p1 - s.p2).dot(p - s.p2) < 0.0)return abs(p - s.p2);
	return getDistanceLP(s, p);
}

//線分s1と線分s2の距離
double getDistance(Segment s1, Segment s2) {
	if (intersect(s1, s2))return 0.0;
	return min({ getDistanceSP(s1, s2.p1), getDistanceSP(s1, s2.p2), getDistanceSP(s2, s1.p1), getDistanceSP(s2, s1.p2) });
}

//線分s1と線分s2の交点
Point getCrossPoint(Segment l, Segment m) {
	double d1 = (l.p2 - l.p1).det( m.p2 - m.p1);
	double d2 = (l.p2 - l.p1).det( l.p2 - m.p1);
	if (abs(d1) < EPS && abs(d2) < EPS) return m.p1;
	return m.p1 + (m.p2 - m.p1) * d2 / d1;
}

//円cと線分lの交点
pair<Point, Point>getCrossPoints(Circle c, Line l) {
	Vector pr = project(l, c.c);
	Vector e = (l.p2 - l.p1) / abs(l.p2 - l.p1);
	double base = sqrt(c.r*c.r - norm(pr - c.c));
	return make_pair(pr + e*base, pr - e*base);
}

//円c1と円c2の交点
double arg(Vector p) { return atan2(p.y, p.x); }
Vector polar(double a, double r) { return Point(cos(r)*a, sin(r)*a); }
pair<Point, Point>getCrossPoints(Circle c1, Circle c2) {
	double d = abs(c1.c - c2.c);
	double a = acos((c1.r*c1.r + d*d - c2.r*c2.r) / (2 * c1.r*d));
	double t = arg(c2.c - c1.c);
	return make_pair(c1.c + polar(c1.r, t + a), c1.c + polar(c1.r, t - a));
}


//点pを通る円cの接線
pair< Point, Point > tangent( Circle c1, Point p2) {
	pair<Point, Point> d = getCrossPoints(c1, Circle(p2, sqrt(norm(c1.c - p2) - c1.r * c1.r)));
	return  minmax(d.first, d.second);

}
//点の内包 0:in,1:on,2:out
int contains(Polygon g, Point p) {
	int n = g.size();
	bool x = false;
	for (int i = 0; i < n; i++) {
		Point a = g[i] - p, b = g[(i + 1) % n] - p;
		if (abs(a.det(b)) < EPS&&a.dot(b) < EPS) return 1;
		if (a.y > b.y)swap(a, b);
		if (a.y < EPS&&EPS < b.y&&EPS < a.det(b))x = !x;
	}
	return (x ? 2 : 0);
}

//凸包を求める(辺上も含める場合は!=CLOCKWISEを==COUNTER_CLOCKWISEに)
Polygon convex_hull(Polygon s) {
	Polygon u, l;
	if (s.size() <= 2)return s;
	sort(s.begin(), s.end(), [](const Point &p1, const Point &p2) {return p1.y == p2.y ? p1.x<p2.x : p1.y<p2.y; });
	u.push_back(s[0]);
	u.push_back(s[1]);
	l.push_back(s[s.size() - 1]);
	l.push_back(s[s.size() - 2]);

	for (int i = 2; i < (int)s.size(); i++){
		for (int n = u.size(); n >= 2 && ccw(u[n - 2], u[n - 1], s[i]) == COUNTER_CLOCKWISE&&ccw(u[n - 2], u[n - 1], s[i]) != ONLINE_FRONT; n--){
			u.pop_back();
		}
		u.push_back(s[i]);
	}

	for (int i = s.size() - 3; i >= 0; i--){
		for (int n = l.size(); n >= 2 && ccw(l[n - 2], l[n - 1], s[i]) != CLOCKWISE&&ccw(l[n - 2], l[n - 1], s[i]) != ONLINE_FRONT; n--){
			l.pop_back();
		}
		l.push_back(s[i]);
	}

	reverse(l.begin(), l.end());
	for (int i = u.size() - 2; i >= 1; i--)l.push_back(u[i]);

	return l;
}

//y座標の昇順でマージするための比較関数
bool compare_y(Point a, Point b) {
	return a.y < b.y;
}

//最近点対
double closest_pair(Point *a, int n) {
	if (n <= 1)return INF<double>();
	sort(a, a + n);
	int m = n / 2;
	double x = a[m].x;
	double d = min({ closest_pair(a,m),closest_pair(a + m,n - m) });//p,qが違う区間にある
	inplace_merge(a, a + m, a + n, compare_y);//2つのソートされた列をマージ

											  //p,qが同じ区間にある
	Points b;//直線から距離d未満の頂点を入れていく
	for (int i = 0; i < n; i++) {
		if (add(fabs(add(a[i].x, -x)), -d) >= 0.0)continue;

		//bに入っている頂点を、末尾からy座標の差がd以上になるまで見ていく
		for (int j = 0; j < (int)b.size(); j++) {
			Point dd;
			dd.x = add(a[i].x, -b[b.size() - j - 1].x);
			dd.y = add(a[i].y, -b[b.size() - j - 1].y);
			if (add(dd.y, -d) >= 0.0)break;
			d = min(d, abs(dd));
		}
		b.emplace_back(a[i]);
	}
	return d;
}

//多角形の面積
double area(Polygon p) {
	int n = p.size();
	double sum = 0.0;
	for (int i = 0; i < n; i++) {
		sum = add(sum,0.5*p[i].det(p[(i + 1) % n]));
	}
	return sum < 0.0 ? -sum : sum;
}

//凸性判定
bool is_convex(Polygon p) {
	for (int i = 0; i < (int)p.size(); i++) {
		if (ccw(p[(i - 1 + p.size()) % p.size()], p[i], p[(i + 1) % p.size()]) == -1)return false;
	}
	return true;
}

//切断
Polygon convex_cut(Polygon p, Line l) {
	Polygon ret;
	for (int i = 0; i < (int)p.size(); i++) {
		Point cur = p[i], nxt = p[(i + 1) % p.size()];
		if (ccw(l.p1, l.p2, cur) != -1)ret.emplace_back(cur);
		if (ccw(l.p1, l.p2, cur)*ccw(l.p1, l.p2, nxt) < 0) {
			Segment seg;
			seg.p1 = cur;
			seg.p2 = nxt;
			ret.emplace_back(getCrossPoint(seg, l));
		}
	}
	return ret;
}

//端点の種類
# define BOTTOM 0
# define LEFT 1
# define RIGHT 2
# define TOP 3

class EndPoint {
public:
	Point p;
	int seg, st;//入力線分のID,端点の種類
	EndPoint() {}
	EndPoint(Point p, int seg, int st) :p(p), seg(seg), st(st) {}

	bool operator <(const EndPoint &ep)const {
		//y座標が小さい順に整列
		if (p.y == ep.p.y) {
			return st < ep.st;//yが同一の場合は、下端点、左端点、右端点、上端点の順に調べる
		}
		else {
			return p.y < ep.p.y;
		}
	}
};

EndPoint EP[202020];//端点のリスト

//線分交差問題(マンハッタン幾何)

int ManhattanIntersection(vector<Segment> s) {
	int n = s.size();
	for (int i = 0, k = 0; i < n; i++) {
		//端点p1,p2が左下を基準に並ぶように調整
		if (s[i].p1.y == s[i].p2.y) {
			if(s[i].p1.x>s[i].p2.x)swap(s[i].p1, s[i].p2);
		}
		else if (s[i].p1.y > s[i].p2.y)swap(s[i].p1, s[i].p2);

		if (s[i].p1.y == s[i].p2.y) {//水平線分を端点リストに追加
			EP[k++] = EndPoint(s[i].p1, i, LEFT);
			EP[k++] = EndPoint(s[i].p2, i, RIGHT);
		}
		else {//垂直線分を端点リストに追加
			EP[k++] = EndPoint(s[i].p1, i, BOTTOM);
			EP[k++] = EndPoint(s[i].p2, i, TOP);
		}
	}
	sort(EP, EP + 2 * n);//端点のy座標に関して昇順に整列

	set<LL> bt;//二分探索木
	bt.insert(1010101010);
	int cnt = 0;

	for (int i = 0; i < 2 * n; i++) {
		if (EP[i].st == TOP) {
			bt.erase(EP[i].p.x);//上端点を削除
		}
		else if (EP[i].st == BOTTOM) {
			bt.insert(EP[i].p.x);
		}
		else if (EP[i].st == LEFT) {
			set<LL>::iterator b = bt.lower_bound(s[EP[i].seg].p1.x);
			set<LL>::iterator e = bt.upper_bound(s[EP[i].seg].p2.x);
			cnt += distance(b, e);//bとeの距離(点の数)を加算
		}
	}
	return cnt;
}

struct UnionFind {
	UnionFind(size_t size){
        for(int i = 0;i < (int)size;i++){
            par.emplace_back(i);
            rnk.emplace_back(0);
        }
    }
	vector<int> par, rnk;

    int find(int x){
        if(par[x] == x)return x;
        else return par[x] = find(par[x]);
    }

    void unite(int x, int y){
        x = find(x);
        y = find(y);
        if(x == y)return;
        if(rnk[x] < rnk[y]){
            par[x] = y;
        }else{
            par[y] = x;
            if(rnk[x] == rnk[y])rnk[x]++;
        }
    }
    bool same(int x,int y){
        return find(x) == find(y);
    }
};

int n;
Points p;
vector<int> bg[2525][2525];
Points ufgroup[121212];
const int geta = 1010;

int main(){
	INIT;
	cin >> n;
	p.resize(n);
	REP(i, n){
		cin >> p[i].x >> p[i].y;
		bg[(int)p[i].y/10 + geta][(int)p[i].x/10 + geta].emplace_back(i);
	}
	if(n == 0){
		cout << fixed << setprecision(10) << 1.0 << endl;
		return 0;
	}
	UnionFind uf(n);
	REP(i, n){
		int by = (int)p[i].y/10 + geta, bx = (int)p[i].x/10 + geta;
		REP(u, (int)bg[by][bx].size()){
			if(bg[by][bx][u] == i)continue;
			if(getDistance(p[i], p[bg[by][bx][u]]) <= 10.0){
				uf.unite(i, bg[by][bx][u]);
			}
		}
		REP(k, 8){
			int ny = by + vy[k], nx = bx + vx[k];
			REP(u, (int)bg[ny][nx].size()){
				if(getDistance(p[i], p[bg[ny][nx][u]]) <= 10.0){
					uf.unite(i, bg[ny][nx][u]);
				}
			}
		}
	}
	REP(i, n){
		ufgroup[uf.find(i)].emplace_back(p[i]);
	}
	double ans = 0.0;
	REP(i, n){
		if(ufgroup[i].empty())continue;
		Points cp = convex_hull(ufgroup[i]);
		REP(u, (int)cp.size()){
			REP(v, (int)cp.size()){
				ans = max(ans, getDistance(cp[u], cp[v]));
			}
		}
	}
	cout << fixed << setprecision(10) << ans + 2.0 << endl;
}
0