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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#644453#784. 旋转卡壳skip200497 147ms18880kbC++2012.3kb2024-10-16 14:01:182024-10-16 14:01:18

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你现在查看的是最新测评结果

  • [2024-10-16 14:01:18]
  • 评测
  • 测评结果:97
  • 用时:147ms
  • 内存:18880kb
  • [2024-10-16 14:01:18]
  • 提交

answer

#include<bits/stdc++.h>
using std::cin;
using std::cout;
using ll = long long;
using u64 = unsigned long long;
using db = long double;
const db eps = 1e-5;
const db pi = std::acos(-1);
std::mt19937 gen;


db sgn(db x) { return x < -eps ? -1 : x > eps; }
db eq(db x, db y) { return !sgn(x - y); }
struct p2 {
	db x, y;
	db norm() const { return x * x + y * y; }
	db abs() const { return std::sqrt(x * x + y * y); }
	db arg() const { return atan2(y, x); }
};
db arg(p2 x, p2 y) {
	db a = y.arg() - x.arg();
	if(a > pi) a -= pi * 2;
	if(a < -pi) a += pi * 2;
	return a;
}
p2 r90(p2 x) { return {-x.y, x.x}; }
p2 operator + (p2 x, p2 y) { return {x.x + y.x, x.y + y.y}; }
p2 operator - (p2 x, p2 y) { return {x.x - y.x, x.y - y.y}; }
p2 operator / (p2 x, db y) { return {x.x / y, x.y / y}; }
p2 operator * (p2 x, db y) { return {x.x * y, x.y * y}; }
p2 operator * (db y, p2 x) { return {x.x * y, x.y * y}; }
db operator * (p2 x, p2 y) { return x.x * y.y - x.y * y.x; }
db operator % (p2 x, p2 y) { return x.x * y.x + x.y * y.y; }

int half(p2 x) { return x.y < 0 || (x.y == 0 && x.x <= 0); }
bool cmp(p2 a, p2 b) { return half(a) == half(b) ? a * b > 0 : half(b); }
bool cmp_eq(p2 A, p2 B) { return half(A) == half(B) && eq(A * B, 0) ; }
// 判断 A, B, C 三个向量是否是逆时针顺序
// 如果是,返回 1
// 如果 (A, B), (C, B) 同方向共线,返回 -1
// 如果是顺时针,返回 0
bool cmp_ct(p2 A, p2 B, p2 C) {
	if(cmp_eq(A, B)) return -1;
	if(cmp_eq(C, B)) return -1;
	if(cmp(A, B)) {
		return cmp(B, C) || cmp(C, A);
	} else {
		return cmp(B, C) && cmp(C, A);
	}
}

p2 bary(p2 a, p2 b, p2 c, db A, db B, db C) {
	return (a * A + b * B + c * C) / (A + B + C);
}
p2 centroid(p2 A, p2 B, p2 C) {
    return bary(A, B, C, 1, 1, 1);
} // 重心
p2 circumcenter(p2 A, p2 B, p2 C) {
    db a = (B - C).norm(), b = (C - A).norm(), c = (A - B).norm();
    return bary(A, B, C, a*(b+c-a), b*(c+a-b), c*(a+b-c));
} // 外心,外接圆圆心,三边中垂线的交点
p2 incenter(p2 A, p2 B, p2 C) {
    return bary(A, B, C, (B-C).abs(), (A-C).abs(), (A-B).abs());
} // 内心,内接圆圆心,三角角平分线的交点
p2 orthocenter(p2 A, p2 B, p2 C) {
    db a = (B - C).norm(), b = (C - A).norm(), c = (A - B).norm();
    return bary(A, B, C, (a+b-c)*(c+a-b), (b+c-a)*(a+b-c), (c+a-b)*(b+c-a));
} // 垂心,三条高线所在的交点
p2 excenter(p2 A, p2 B, p2 C) {
    db a = (B - C).abs(), b = (A - C).abs(), c = (A - B).abs();
    return bary(A, B, C, -a, b, c);
    // return bary(A, B, C, a, -b, c);
    // return bary(A, B, C, a, b, -c);
} // 旁心 一个内角的平分线和其他两个内角的外角平分线的交点

db cross(p2 x, p2 y, p2 z) {
	return (y.x - x.x) * (z.y - x.y) - (y.y - x.y) * (z.x - x.x);
}

std::vector<p2> gethull(std::vector<p2> o) { 
	sort(o.begin(), o.end(), [](p2 x, p2 y) { return eq(x.x, y.x) ? x.y < y.y : x.x < y.x; });
	std::vector<p2> stack;
	for(int i = 0;i < (int) o.size();++i) {
		for(;stack.size() >= 2 && cross(stack.rbegin()[1], stack.back(), o[i]) <= eps;) {
			stack.pop_back();
		}
		stack.push_back(o[i]);
	}
	for(int i = o.size() - 2, t = stack.size();i >= 0;--i) {
		for(;(int) stack.size() > t && cross(stack.rbegin()[1], stack.back(), o[i]) <= eps;) {
			stack.pop_back();
		}
		stack.push_back(o[i]);
	}
	stack.pop_back();
	return stack;
} // 把两个 eps 改成 -eps 可求出所有在凸包上的点

struct line : p2 {
	db z;
	// a * x + b * y + c (= or >) 0
	line() = default;
	line(db a, db b, db c) : p2{a, b}, z(c) {}
	line(p2 a, p2 b) : p2(r90(b - a)), z(a * b) { }
	// 左侧 > 0
	db operator ()(p2 a) const { return a % p2(*this) + z; }
	line perp() const { return {y, -x, 0}; } // 垂直
	line para(p2 o) { return {x, y, z - (*this)(o)}; } // 平行
};
p2 operator & (line x, line y) {
	return p2{p2{x.z, x.y} * p2{y.z, y.y}, p2{x.x, x.z} * p2{y.x, y.z}} / -(p2(x) * p2(y));
	// 注意此处精度误差较大,以及 res.y 需要较高精度
}
p2 proj(p2 x, line l) { return x - p2(l) * (l(x) / l.norm()); } // 投影
p2 refl(p2 x, line l) { return x - p2(l) * (l(x) / l.norm()) * 2; } // 对称
line bisector(p2 x, p2 y) { return line(y, x).perp().para((x + y) / 2); } // x 在半平面一侧
db dist(line l, p2 x = p2{0, 0}) { return l(x) / l.abs(); } // 有向点到线距离
bool is_para(line x, line y) { return eq(p2(x) * p2(y), 0); } // 判断线平行
bool is_perp(line x, line y) { return eq(p2(x) % p2(y), 0); } // 判断线垂直
bool online(p2 x, line l) { return eq(l(x), 0); } // 判断点在线上
int ccw(p2 a, p2 b, p2 c) {
	int sign = sgn((b - a) * (c - a));
	if(sign == 0) {
		if(sgn((b - a) % (c - a)) == -1) return 2;
		if((c - a).norm() > (b - a).norm() + eps) return -2;
	}
	return sign;
}

// 三条直线关系
db det(line a, line b, line c) {
	p2 A = a, B = b, C = c;
	return c.z * (A * B) + a.z * (B * C) + b.z * (C * A);
}
db check(line a, line b, line c) { // sgn same as c(a & b), 0 if error
	return sgn(det(a, b, c)) * sgn(p2(a) * p2(b));
}
bool paraS(line a, line b) { // 射线同向
	return is_para(a, b) && p2(a) % p2(b) > 0;
}
std::vector<p2> HPI(std::vector<line> vs) {
	auto cmp = [](line a, line b) {
		if(paraS(a, b)) return dist(a) < dist(b);
		return ::cmp(p2(a), p2(b));
	};
	sort(vs.begin(), vs.end(), cmp);
	int ah = 0, at = 0, n = size(vs);
	std::vector<line> deq(n + 1);
	std::vector<p2> ans(n);
	deq[0] = vs[0];
	for(int i = 1;i <= n;++i) {
		line o = i < n ? vs[i] : deq[ah];
		if(paraS(vs[i - 1], o)) {
			continue;
		}
		for(;ah < at && check(deq[at - 1], deq[at], o) < 0;) -- at;
		if(i != n)
			for(;ah < at && check(deq[ah], deq[ah + 1], o) < 0;) ++ ah;
		if(!is_para(o, deq[at])) {
			ans[at] = o & deq[at];
			deq[++at] = o;
		}
	}
	if(at - ah <= 2) return {};
	return {ans.begin() + ah, ans.begin() + at};
}
struct seg {
    p2 x, y;
    seg() {}
    seg(const p2 & A, const p2 & B) : x(A), y(B) {}
    bool onseg(const p2 & o) const {
        return (o - x) % (o - y) < eps && std::fabs((o - x) * (o - y)) < eps;
    }
};
db dist(const seg & o, const p2 & x) {
	if((o.x - o.y) % (x - o.y) <= eps) return (x - o.y).abs();
	if((o.y - o.x) % (x - o.x) <= eps) return (x - o.x).abs();
	return fabs((o.x - x) * (o.y - x) / (o.x - o.y).abs());
}
bool is_isc(const seg & x, const seg & y) {
    return
        ccw(x.x, x.y, y.x) * ccw(x.x, x.y, y.y) <= 0 &&
        ccw(y.x, y.y, x.x) * ccw(y.x, y.y, x.y) <= 0;
}
db dist(const seg & x, const seg & y) {
    if(is_isc(x, y)) return 0;
    return std::min({ dist(y, x.x), dist(y, x.y), dist(x, y.x), dist(x, y.y), });
}
db area(const std::vector<p2> & x) {
	db res = 0;
	for(int i = 2;i < (int) x.size();++i) {
		res += (x[i - 1] - x[0]) * (x[i] - x[0]);
	}
	return res / 2;
}
struct circle : p2 { db r; };
std::vector<p2> operator & (circle o, line l) {
	p2 v = l, Rv = r90(v); db L = l.abs();
	db d = l(p2(o)) / L, x = o.r * o.r - d * d;
	if(x < -eps) return {};
	x = std::sqrt(x * sgn(x));
	p2 z = p2(o) - d / L * v, p = Rv * (x / L);
	return {z + p, z - p};
} // l 如果是构造函数给出,那么返回交点按射线顺序
std::vector<p2> operator & (circle o, seg s) {
	std::vector<p2> b;
	for(p2 x : (o & line(s.x, s.y)))
		if(s.onseg(x)) b.push_back(x);
	return b;
}
std::vector<p2> operator & (circle o0, circle o1) {
	p2 tmp = 2 * (p2(o1) - p2(o0));
	return o0 & line(tmp.x, tmp.y, o1.r * o1.r - o0.r * o0.r + o0.norm() - o1.norm());
}
std::vector<p2> tang(circle o, p2 x) {
	db d = (x - p2(o)).abs();
	if(d <= o.r + eps) return {};
	return o & circle{x, sqrt(d * d - o.r * o.r)};
}
// 三角形 (o, a, b) 和圆 o 的交的有向面积 * 2
db intersect(circle o, p2 a, p2 b) {
	a = a - p2(o), b = b - p2(o); o.x = o.y = 0;
	int va = a.abs() <= o.r + eps;
	int vb = b.abs() <= o.r + eps;
	if(va && vb) return a * b;
	auto v = o & seg{a, b};
	if(v.empty()) return arg(a, b) * o.r * o.r;
	db sum = 0;
	sum += va ? a * v[0] : arg(a, v[0]) * o.r * o.r;
	sum += vb ? v.back() * b : arg(v.back(), b) * o.r * o.r;
	if(v.size() > 1) sum += v[0] * v[1];
	return sum;
}
// 有向弓形面积 * 2, arg 不能改
db csegS(circle o, p2 a, p2 b) {
	a = a - p2(o);
	b = b - p2(o);
	db d = b.arg() - a.arg();
	if(d < 0) d += pi * 2;
	return d * o.r * o.r - a * b;
}
// 两圆交的面积 * 2
db intersect(circle o0, circle o1) {
	if(o0.r > o1.r) std::swap(o0, o1);
	db d = (p2(o0) - p2(o1)).abs();
	if(d <= (o1.r - o0.r) + eps) return 2 * pi * o0.r * o0.r;
	if(d >= o1.r + o0.r - eps) return 0;
	auto v = o0 & o1;
	return csegS(o0, v[1], v[0]) + csegS(o1, v[0], v[1]);
}
// 简单多边形处理
int contain(const std::vector<p2> & a, p2 o) {
	bool in = 0;
	for(int i = 0;i < (int) a.size();++i) {
		p2 x = a[i] - o, y = a[(i + 1) % a.size()] - o;
		if(x.y > y.y) std::swap(x, y);
		if(x.y <= eps && y.y > eps && x * y < -eps) in ^= 1;
		if(std::fabs(x * y) < eps && x % y < eps) return 2; // 在线段上,看情况改
	}
	return in;
}
// misc
db mindist(std::vector<p2> a) {
	db ans = 1e18;
	sort(a.begin(), a.end(), [](p2 x, p2 y) { return x.x < y.x; });
	ans = (a[0] - a[1]).abs();
	auto solve = [&](auto s, int l, int r) {
		if(l + 1 == r) return ;
		int mid = (l + r) >> 1;
		db mx = a[mid].x;
		s(s, l, mid), s(s, mid, r);
		static std::vector<p2> b; b.clear();
		inplace_merge(a.begin() + l, a.begin() + mid, a.begin() + r, [](p2 x, p2 y) { return x.y < y.y; });
		for(int i = l;i < r;++i)
			if(fabs(a[i].x - mx) <= ans) b.push_back(a[i]);
		for(int i = 1;i < (int) b.size();++i) 
			for(int j = i - 1;j >= 0 && b[i].y <= b[j].y + ans;--j) ans = std::min(ans, (b[i] - b[j]).abs());
	};
	solve(solve, 0, a.size());
	return ans;
}
circle incircle(p2 a, p2 b, p2 c) {
	db A = (b - c).abs(), B = (c - a).abs(), C = (a - b).abs();
	return {(a * A + b * B + c * C) / (A + B + C), fabs((b - a) * (c - a)) / (A + B + C)};
} // 三点确定内接圆, 不是最小圆覆盖内容
circle circumcircle(p2 a, p2 b, p2 c) {
	p2 bc = c - b, ca = a - c, ab = b - a;
	p2 o = (b + c - r90(bc) * (ca % ab) / (ca * ab)) / 2;
	return {o, (a - o).abs()};
} // 三点确定外接圆
circle cir(p2 a, p2 b) { // 根据直径生成圆
	return {(a + b) / 2, (a - b).abs() / 2};
}
bool in(circle x, p2 y) { return (p2(x) - y).abs() <= x.r + eps; }
circle mincircle(std::vector<p2> a) { // 最小圆覆盖,需要 shuffle
	circle o = {a[0], 0};
	int n = a.size();
	for(int i = 1;i < n;++i) {
		if(in(o, a[i])) continue;
		o = cir(a[0], a[i]);
		for(int j = 1;j < i;++j) {
			if(in(o, a[j])) continue;
			o = cir(a[j], a[i]);
			for(int k = 0;k < j;++k) {
				if(in(o, a[k])) continue;
				o = circumcircle(a[i], a[j], a[k]);
			}
		}
	}
	return o;
}
db convex_diameter(std::vector<p2> & o) {
	int n = size(o);
	db max = 0;
	for(int i = 0, j = 1 % n;i < j;++i) {
		for(;;j = (j + 1) % n) {
			max = std::max(max, (o[j] - o[i]).abs());
			if((o[i + 1] - o[i]) * (o[(j + 1) % n] - o[j]) <= 0) break;
		}
	}
	return max;
} // 凸包直径,不能有三点共线
std::vector<p2> cut(const std::vector<p2> & o, line l) {
	std::vector<p2> res;
	int n = size(o);
	for(int i = 0;i < n;++i) {
		p2 a = o[i], b = o[(i + 1) % n];
		if(sgn(l(a)) >= 0) res.push_back(a); // 注意 sgn 精度
		if(sgn(l(a)) * sgn(l(b)) < 0) res.push_back(line(a, b) & l);
	}
	return res;
} // 切凸包
std::vector<line> cut(const std::vector<line> & o, line l) {
	std::vector<line> res;
	int n = size(o);
	for(int i = 0;i < n;++i) {
		line a = o[i], b = o[(i + 1) % n], c = o[(i + 2) % n];
		int va = check(a, b, l), vb = check(b, c, l);
		assert(check(a, b, c) != 0);
		if(va > 0 || vb > 0 || (va == 0 && vb == 0)) {
			res.push_back(b);
		}
		if(va >= 0 && vb < 0) {
			res.push_back(l);
		}
	}
	return res;
} // 切凸包
std::vector<std::vector<line>> voronoi(std::vector<p2> p) {
	int n = p.size();
	auto b = p; shuffle(b.begin(), b.end(), gen);
	const db V = 3e4; // 边框大小,重要
	std::vector<std::vector<line>> a(n, {
		{V, 0, V * V}, {0, V, V * V},
		{-V, 0, V * V}, {0, -V, V * V},
	});
	for(int i = 0;i < n;++i) {
		for(p2 x : b) if((x - p[i]).abs() > eps) {
			a[i] = cut(a[i], bisector(p[i], x));
		}
	}
	return a;
}

int main() {
	std::ios::sync_with_stdio(false), cin.tie(0);
	int n; cin >> n;
	std::vector<p2> a(n);
	for(int i = 0;i < n;++i) {
		cin >> a[i].x >> a[i].y;
	}
	printf("%.10Lf\n", convex_diameter(a));
}

详细

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 1ms
memory: 4068kb

input:

1000
0 0
-997615 -8573
-1988394 -28911
-2726572 -44296
-3491635 -60392
-4419752 -82814
-5298550 -105946
-5723430 -118453
-6608257 -147267
-7034966 -161982
-7563964 -181682
-8507871 -222865
-9499799 -271846
-10090186 -303547
-10400262 -322989
-10614073 -339725
-11081438 -378596
-11791568 -439127
-127...

output:

274339223.1895613901

result:

ok found '274339223.1895614', expected '274339223.1895614', error '0.0000000'

Test #2:

score: 10
Accepted
time: 1ms
memory: 4036kb

input:

1000
0 0
-887614 -1937
-1459359 -3808
-2421409 -24096
-3273181 -48456
-3917594 -76664
-4402753 -100164
-5375022 -150897
-5993935 -192089
-6587159 -238825
-7549680 -333298
-8330993 -416479
-9244392 -515027
-10010900 -598589
-10374584 -640275
-10767641 -686907
-11173081 -741316
-11821952 -833327
-1260...

output:

262687047.9274906333

result:

ok found '262687047.9274906', expected '262687047.9274906', error '0.0000000'

Test #3:

score: 10
Accepted
time: 1ms
memory: 3900kb

input:

1000
0 0
-631055 -2758
-1328409 -7463
-2248672 -20536
-2412978 -23564
-2659543 -28441
-3383179 -43406
-4183375 -64326
-4856658 -88337
-5799682 -134822
-6757348 -189404
-7132846 -212164
-7563226 -242116
-8368716 -300012
-9321463 -381770
-9831821 -432746
-10409503 -491057
-11360852 -607259
-11874199 -...

output:

257868038.6435896887

result:

ok found '257868038.6435897', expected '257868038.6435897', error '0.0000000'

Test #4:

score: 10
Accepted
time: 1ms
memory: 4016kb

input:

1000
0 0
-48652 -588
-951356 -20091
-1517426 -33325
-1965414 -51971
-2466111 -74904
-3046762 -103888
-3555833 -132002
-3976901 -156059
-4972848 -245498
-5921476 -332492
-6353035 -375491
-7327511 -496188
-7939064 -575429
-8842272 -694656
-9246222 -756797
-9771758 -860630
-10633761 -1031205
-10981774 ...

output:

259539672.4804533867

result:

ok found '259539672.4804534', expected '259539672.4804534', error '0.0000000'

Test #5:

score: 10
Accepted
time: 0ms
memory: 4068kb

input:

1000
0 0
-456569 -2668
-1141521 -7887
-1270801 -8967
-1971135 -21206
-2919889 -38188
-3903859 -71231
-4752603 -107450
-5508682 -143873
-6214620 -183392
-6718977 -212193
-7452291 -271600
-8408796 -354998
-9261882 -432674
-9528618 -457608
-10099091 -513153
-10320120 -535958
-11067358 -614356
-12050731...

output:

250217366.4826218512

result:

ok found '250217366.4826218', expected '250217366.4826218', error '0.0000000'

Test #6:

score: 10
Accepted
time: 1ms
memory: 4128kb

input:

1000
0 0
-794019 -17307
-1389128 -41522
-1928884 -68000
-2530256 -103641
-3335109 -158872
-4273633 -225636
-4655012 -253747
-5584931 -329387
-6190262 -382029
-6657521 -422826
-7445510 -497270
-8092482 -562235
-8879759 -646264
-9688106 -745847
-10545954 -857573
-11350736 -962711
-12106702 -1066386
-1...

output:

256130723.0053680089

result:

ok found '256130723.0053680', expected '256130723.0053680', error '0.0000000'

Test #7:

score: 10
Accepted
time: 1ms
memory: 3992kb

input:

1000
0 0
-785524 -1241
-1228373 -2123
-1584480 -5108
-2516949 -19826
-3109735 -51256
-3799285 -95138
-4215892 -125263
-5144743 -202941
-6071171 -287679
-6844072 -376760
-7786583 -487933
-8491316 -575443
-9458832 -700691
-9848966 -756816
-10135682 -798578
-11100151 -940696
-11527785 -1004652
-1221960...

output:

268992022.0570692390

result:

ok found '268992022.0570692', expected '268992022.0570692', error '0.0000000'

Test #8:

score: 10
Accepted
time: 1ms
memory: 4132kb

input:

1000
0 0
-787651 -697
-1319793 -8691
-1545057 -12462
-2239671 -24650
-2487763 -36810
-2983386 -61694
-3408212 -85910
-3650815 -105325
-4268088 -155258
-5088483 -225550
-5720403 -280762
-6036913 -309102
-6663280 -365291
-7656626 -456948
-8462737 -538137
-9318271 -628471
-9704990 -671367
-10363047 -74...

output:

251395356.7229873281

result:

ok found '251395356.7229873', expected '251395356.7229873', error '0.0000000'

Test #9:

score: 10
Accepted
time: 1ms
memory: 3992kb

input:

1000
0 0
-895815 -18037
-1536713 -40507
-2439825 -73040
-2896761 -94230
-3815334 -138606
-4520738 -176711
-4997585 -208924
-5399492 -237632
-5629592 -254751
-6518310 -320902
-7084766 -367663
-7724052 -423029
-8475256 -492590
-9071702 -551527
-9798581 -626155
-10535448 -702512
-11155572 -768931
-1208...

output:

259639018.6166957476

result:

ok found '259639018.6166958', expected '259639018.6166958', error '0.0000000'

Test #10:

score: 10
Accepted
time: 1ms
memory: 3928kb

input:

1000
0 0
-837332 -2192
-1593910 -10845
-2320576 -25425
-3294539 -45660
-4178010 -82673
-4936159 -128518
-5796274 -190640
-6313517 -228540
-7131129 -291797
-7751205 -354513
-8357330 -419926
-9355375 -542247
-9783911 -596434
-10313681 -667126
-10377189 -675659
-10824619 -750345
-11653618 -894218
-1234...

output:

267554454.1762451354

result:

ok found '267554454.1762451', expected '267554454.1762451', error '0.0000000'

Test #11:

score: 10
Accepted
time: 1ms
memory: 4012kb

input:

1000
0 0
-758133 -3909
-1146524 -7212
-1823781 -16200
-2561994 -26923
-3448934 -43815
-4337557 -80953
-4912706 -106752
-5770093 -182352
-6645519 -261073
-7156648 -309532
-7882740 -380211
-8731241 -470527
-9265139 -532092
-10083113 -633235
-10767248 -721935
-11729364 -862416
-12112647 -921658
-128310...

output:

259903024.7335910267

result:

ok found '259903024.7335910', expected '259903024.7335910', error '0.0000000'

Test #12:

score: 10
Accepted
time: 1ms
memory: 4072kb

input:

1000
0 0
-220082 -1509
-1148190 -9207
-2108923 -22196
-2713299 -30623
-3364648 -43866
-3891571 -54675
-4300261 -63335
-4622311 -72814
-5235380 -91992
-5680720 -106355
-6138401 -121807
-7013302 -160828
-7784753 -195568
-8750494 -245022
-9681201 -295430
-10320328 -334255
-11256371 -407963
-12199734 -4...

output:

261658565.5826949610

result:

ok found '261658565.5826949', expected '261658565.5826949', error '0.0000000'

Test #13:

score: 10
Accepted
time: 1ms
memory: 4068kb

input:

1000
0 0
-425515 -4558
-1293469 -14675
-1990220 -30271
-2703160 -49015
-3455818 -76450
-4210140 -107243
-4530367 -120805
-5136478 -158180
-5732363 -196472
-6247394 -230823
-7100635 -290064
-7703961 -335663
-8091361 -368200
-8752153 -427341
-9433796 -491521
-10139006 -563945
-10984402 -653149
-113386...

output:

256353710.9730163317

result:

ok found '256353710.9730163', expected '256353710.9730163', error '0.0000000'

Test #14:

score: 10
Accepted
time: 1ms
memory: 4032kb

input:

1000
0 0
-572806 -2255
-1477072 -15611
-1643871 -18681
-2578790 -51107
-3303402 -86192
-4032032 -123256
-4540711 -150307
-5462171 -206756
-6377222 -264514
-6921545 -316752
-7623842 -390821
-8329739 -466169
-9034451 -568935
-9600887 -653814
-9729771 -674650
-10461476 -795876
-11348904 -952387
-117122...

output:

255498134.5157807233

result:

ok found '255498134.5157807', expected '255498134.5157807', error '0.0000000'

Test #15:

score: 10
Accepted
time: 1ms
memory: 4124kb

input:

1000
0 0
-723350 -3997
-1405147 -10223
-2296494 -21394
-2876280 -32357
-3572827 -51397
-4452032 -87137
-4953249 -111910
-5388609 -141252
-5731586 -165403
-6101332 -197003
-6884756 -282055
-7719066 -372715
-8101214 -415308
-8855617 -516206
-9316024 -579909
-10091662 -705732
-10621099 -799022
-1137369...

output:

258992362.5300114231

result:

ok found '258992362.5300114', expected '258992362.5300114', error '0.0000000'

Test #16:

score: 10
Accepted
time: 1ms
memory: 4036kb

input:

1000
0 0
-638945 -769
-1345094 -2633
-2049372 -9786
-3043001 -20660
-3832821 -40968
-4616354 -61996
-5489016 -89554
-6075577 -112116
-7059918 -153506
-7917375 -193461
-8704241 -235730
-9411173 -289585
-9928254 -332456
-10816688 -407937
-11522358 -469782
-12333778 -541183
-12532282 -560003
-13293480 ...

output:

260884926.0498460651

result:

ok found '260884926.0498461', expected '260884926.0498461', error '0.0000000'

Test #17:

score: 10
Accepted
time: 1ms
memory: 4064kb

input:

1000
0 0
-929784 -9273
-1222089 -14360
-1633168 -22589
-2271669 -42262
-2863939 -61639
-3538074 -85549
-4537727 -127500
-5529674 -172462
-6106076 -217405
-6615381 -262810
-7383575 -342936
-8289266 -445052
-8474592 -467243
-9285779 -564519
-10059545 -662251
-10774681 -753541
-11666601 -869701
-120587...

output:

259788149.3996045251

result:

ok found '259788149.3996045', expected '259788149.3996045', error '0.0000000'

Test #18:

score: 10
Accepted
time: 1ms
memory: 3988kb

input:

1000
0 0
-436597 -2249
-897574 -4839
-1763026 -9858
-2199595 -14239
-2837069 -24431
-3656371 -67025
-4153771 -93216
-5062244 -151716
-5634320 -190859
-6503474 -278174
-7250273 -366225
-7276046 -369834
-7806600 -448708
-8317734 -530915
-8905662 -634997
-9766507 -790590
-9973653 -831916
-10555366 -955...

output:

277834510.7780300392

result:

ok found '277834510.7780300', expected '277834510.7780300', error '0.0000000'

Test #19:

score: 10
Accepted
time: 0ms
memory: 4068kb

input:

1000
0 0
-499456 -5028
-1395210 -19193
-2095999 -36599
-2278240 -43145
-2754419 -63055
-3701264 -104359
-4078225 -133214
-4292562 -151446
-5087031 -220375
-5649235 -277762
-6403916 -358749
-7403700 -470022
-7940233 -537110
-8433330 -607694
-9376563 -746831
-9903004 -831307
-10718505 -965214
-1171369...

output:

261984352.6271107761

result:

ok found '261984352.6271108', expected '261984352.6271108', error '0.0000000'

Test #20:

score: 10
Accepted
time: 1ms
memory: 3980kb

input:

1000
0 0
-347123 -2330
-1296972 -12856
-2114794 -28811
-3005647 -54768
-3802579 -79440
-4777546 -118441
-5386348 -146049
-6230831 -184743
-7083665 -250364
-7963538 -324047
-8621014 -381656
-9065618 -421654
-9883960 -496406
-10349110 -541972
-11146897 -621572
-12108943 -718091
-12921588 -803916
-1348...

output:

265979549.5809911793

result:

ok found '265979549.5809912', expected '265979549.5809912', error '0.0000000'

Subtask #2:

score: 30
Accepted

Dependency #1:

100%
Accepted

Test #21:

score: 30
Accepted
time: 10ms
memory: 4200kb

input:

30000
0 0
-27842 -9
-56782 -24
-64412 -29
-91618 -47
-121087 -68
-152541 -123
-182316 -183
-212916 -274
-234159 -341
-266126 -446
-289328 -523
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-350940 -781
-374263 -905
-400736 -1046
-427862 -1199
-450458 -1327
-465289 -1413
-485809 -1534
-517032 -1724
-548368 -1921
-576015...

output:

254843548.6986402585

result:

ok found '254843548.6986403', expected '254843548.6986403', error '0.0000000'

Test #22:

score: 30
Accepted
time: 10ms
memory: 4184kb

input:

30000
0 0
-31209 -21
-39334 -27
-64601 -46
-86568 -64
-115119 -89
-143398 -117
-161108 -154
-179520 -196
-203131 -254
-234209 -335
-252923 -396
-275417 -473
-289767 -533
-311588 -627
-343100 -821
-369994 -998
-385492 -1101
-412257 -1281
-427669 -1387
-453860 -1575
-485750 -1817
-510891 -2019
-531160...

output:

250853956.0239689104

result:

ok found '250853956.0239689', expected '250853956.0239689', error '0.0000000'

Test #23:

score: 30
Accepted
time: 9ms
memory: 4200kb

input:

30000
0 0
-20075 -15
-53286 -46
-77410 -74
-104765 -117
-128452 -158
-138117 -176
-145933 -192
-169668 -264
-195119 -349
-220533 -437
-227177 -463
-259461 -594
-288461 -712
-304625 -788
-337671 -947
-358291 -1056
-388248 -1227
-411605 -1362
-422810 -1433
-444967 -1583
-464234 -1714
-471059 -1763
-48...

output:

250990461.7585058151

result:

ok found '250990461.7585058', expected '250990461.7585058', error '0.0000000'

Test #24:

score: 30
Accepted
time: 9ms
memory: 4152kb

input:

30000
0 0
-25406 -9
-53669 -24
-62096 -33
-84905 -59
-97980 -83
-118490 -127
-139980 -180
-168464 -256
-187325 -315
-208655 -393
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-261958 -614
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-308563 -838
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-350477 -1059
-363699 -1134
-379676 -1232
-398726 -1354
-430095 -1576
-459666 -1...

output:

253698546.2001740443

result:

ok found '253698546.2001740', expected '253698546.2001740', error '0.0000000'

Test #25:

score: 30
Accepted
time: 9ms
memory: 4204kb

input:

30000
0 0
-21134 -9
-45635 -23
-62583 -36
-90936 -72
-123048 -113
-148384 -151
-173729 -190
-194644 -225
-207752 -258
-236495 -342
-241543 -359
-272810 -476
-303141 -602
-324057 -690
-344614 -778
-364773 -871
-380490 -948
-407975 -1083
-433651 -1212
-464879 -1383
-485067 -1502
-513615 -1674
-537857 ...

output:

249331713.2810479145

result:

ok found '249331713.2810479', expected '249331713.2810479', error '0.0000000'

Test #26:

score: 30
Accepted
time: 9ms
memory: 4188kb

input:

30000
0 0
-21448 -2
-26656 -6
-55814 -36
-82967 -67
-107428 -97
-134427 -133
-152614 -158
-171092 -185
-199260 -236
-221094 -282
-254022 -354
-285389 -431
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-398215 -753
-430925 -909
-460659 -1052
-492385 -1212
-522834 -1369
-544343 -1480
-574493 -1645
-591923 -1...

output:

252099986.1016024134

result:

ok found '252099986.1016024', expected '252099986.1016024', error '0.0000000'

Test #27:

score: 30
Accepted
time: 9ms
memory: 4264kb

input:

30000
0 0
-14622 -3
-21004 -5
-52082 -23
-74883 -43
-96336 -71
-128458 -113
-156799 -154
-183046 -195
-192091 -210
-222978 -268
-242938 -309
-262594 -352
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-305011 -451
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-359764 -614
-386317 -705
-387178 -708
-403823 -768
-433061 -876
-462803 -990
-476883 -1056
-501388 -1177
-...

output:

252058372.1872791691

result:

ok found '252058372.1872792', expected '252058372.1872792', error '0.0000000'

Test #28:

score: 30
Accepted
time: 9ms
memory: 4072kb

input:

30000
0 0
-25620 -6
-58948 -27
-81188 -42
-108084 -65
-116725 -73
-125232 -81
-135235 -91
-151536 -109
-184450 -152
-207622 -186
-226702 -226
-253157 -296
-272563 -363
-285333 -416
-314647 -544
-343300 -671
-374313 -814
-396287 -921
-420576 -1040
-429098 -1083
-461737 -1259
-484471 -1384
-514561 -15...

output:

250472754.0190104609

result:

ok found '250472754.0190105', expected '250472754.0190105', error '0.0000000'

Test #29:

score: 30
Accepted
time: 9ms
memory: 4220kb

input:

30000
0 0
-33296 -14
-53478 -25
-77571 -40
-102204 -60
-131127 -87
-154300 -115
-164094 -129
-170807 -139
-182721 -162
-204059 -213
-233651 -291
-248862 -344
-272501 -427
-292422 -497
-316393 -587
-332926 -655
-357527 -758
-377377 -846
-400755 -952
-421907 -1051
-432483 -1106
-463837 -1277
-484678 -...

output:

250911365.3928251154

result:

ok found '250911365.3928251', expected '250911365.3928251', error '0.0000000'

Test #30:

score: 30
Accepted
time: 6ms
memory: 4264kb

input:

30000
0 0
-16184 -12
-47000 -41
-65809 -62
-97992 -98
-130432 -136
-141298 -155
-166593 -204
-199502 -297
-227146 -379
-253391 -469
-268774 -523
-296503 -636
-323982 -757
-356038 -900
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-398856 -1098
-425367 -1243
-452654 -1396
-476703 -1537
-489569 -1615
-493812 -1641
-521509 -1812
-5419...

output:

250844611.9027090783

result:

ok found '250844611.9027091', expected '250844611.9027091', error '0.0000000'

Test #31:

score: 30
Accepted
time: 9ms
memory: 4188kb

input:

30000
0 0
-25799 -4
-55851 -26
-80970 -45
-101274 -62
-132285 -92
-156585 -119
-172335 -137
-194967 -166
-207127 -182
-210322 -187
-232931 -224
-254065 -285
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-341162 -585
-366961 -682
-378425 -726
-406880 -836
-433997 -944
-462505 -1063
-484234 -1155
-510379 -12...

output:

252561817.9649026244

result:

ok found '252561817.9649026', expected '252561817.9649026', error '0.0000000'

Test #32:

score: 30
Accepted
time: 9ms
memory: 4220kb

input:

30000
0 0
-26056 -4
-54769 -14
-60303 -16
-87623 -57
-116864 -112
-138854 -159
-157862 -208
-175152 -264
-200884 -367
-230497 -499
-252728 -608
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-332152 -1067
-333986 -1079
-355425 -1222
-364727 -1286
-382658 -1414
-392920 -1492
-425026 -1737
-44041...

output:

253995087.9124097864

result:

ok found '253995087.9124098', expected '253995087.9124098', error '0.0000000'

Test #33:

score: 30
Accepted
time: 9ms
memory: 4256kb

input:

30000
0 0
-9535 -2
-40752 -11
-60579 -26
-93471 -57
-118567 -94
-144069 -132
-173022 -182
-195295 -224
-223889 -296
-247193 -355
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-366899 -722
-382069 -779
-411737 -894
-434702 -985
-457466 -1078
-487157 -1201
-497974 -1248
-524864 -136...

output:

252472448.5275533129

result:

ok found '252472448.5275533', expected '252472448.5275533', error '0.0000000'

Test #34:

score: 30
Accepted
time: 9ms
memory: 4184kb

input:

30000
0 0
-24944 -5
-45218 -18
-63052 -30
-95222 -53
-122297 -76
-142451 -95
-166142 -128
-198625 -176
-224888 -226
-256971 -297
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-295294 -399
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-357361 -596
-384063 -695
-413239 -808
-431516 -883
-455899 -988
-477258 -1083
-482936 -1109
-514885 -1259
-545203 -140...

output:

251091289.9211815691

result:

ok found '251091289.9211816', expected '251091289.9211816', error '0.0000000'

Test #35:

score: 30
Accepted
time: 10ms
memory: 4204kb

input:

30000
0 0
-30995 -2
-54625 -11
-82116 -24
-107137 -37
-118814 -46
-145376 -68
-153252 -80
-185690 -144
-216437 -215
-233722 -272
-253995 -343
-271631 -413
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-321561 -641
-349834 -782
-373847 -909
-394268 -1020
-413992 -1130
-437644 -1265
-455088 -1371
-479307 -1520
-487919 -1573
-510069 -...

output:

252314719.9735080874

result:

ok found '252314719.9735081', expected '252314719.9735081', error '0.0000000'

Test #36:

score: 30
Accepted
time: 6ms
memory: 4068kb

input:

30000
0 0
-27620 -15
-32869 -18
-63930 -40
-92226 -71
-117410 -103
-128286 -121
-160858 -177
-175636 -204
-202913 -255
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-231489 -321
-239502 -341
-270542 -438
-300109 -534
-328778 -641
-347216 -724
-378021 -873
-405203 -1017
-433216 -1174
-466343 -1375
-485498 -1495
-512206 -1683
-537113...

output:

252132224.5177777687

result:

ok found '252132224.5177778', expected '252132224.5177778', error '0.0000000'

Test #37:

score: 30
Accepted
time: 9ms
memory: 4204kb

input:

30000
0 0
-26512 -10
-51854 -27
-59926 -34
-72478 -45
-104402 -85
-134454 -126
-156279 -156
-187348 -202
-204100 -236
-236516 -302
-257885 -347
-283292 -401
-304536 -460
-329866 -533
-362401 -630
-368232 -649
-393217 -739
-412750 -810
-443034 -922
-470338 -1029
-481188 -1073
-497958 -1151
-530836 -1...

output:

251728991.7551814928

result:

ok found '251728991.7551815', expected '251728991.7551815', error '0.0000000'

Test #38:

score: 30
Accepted
time: 6ms
memory: 4276kb

input:

30000
0 0
-29212 -4
-38598 -7
-71599 -25
-95384 -48
-122534 -75
-152884 -108
-185395 -148
-193339 -166
-211296 -218
-242492 -319
-262879 -390
-280381 -452
-297193 -522
-316047 -608
-344702 -748
-362716 -837
-371851 -884
-392232 -990
-415911 -1120
-428530 -1190
-455344 -1346
-476289 -1469
-502141 -16...

output:

252836476.4363638671

result:

ok found '252836476.4363639', expected '252836476.4363639', error '0.0000000'

Test #39:

score: 30
Accepted
time: 9ms
memory: 4300kb

input:

30000
0 0
-32998 -8
-60868 -23
-90627 -40
-119903 -65
-145529 -87
-161760 -103
-169947 -115
-194965 -153
-217424 -191
-240218 -232
-262746 -278
-274663 -306
-300259 -367
-311698 -396
-338898 -472
-371940 -583
-391272 -648
-422137 -773
-450678 -889
-472143 -979
-498399 -1098
-530708 -1249
-553762 -13...

output:

254810274.4235500446

result:

ok found '254810274.4235500', expected '254810274.4235500', error '0.0000000'

Test #40:

score: 30
Accepted
time: 9ms
memory: 4076kb

input:

30000
0 0
-8940 -5
-33085 -27
-59867 -53
-86492 -79
-109768 -109
-130705 -139
-137599 -149
-167036 -193
-175992 -209
-205088 -262
-231732 -316
-253027 -361
-277001 -412
-306909 -477
-319514 -507
-337756 -557
-357495 -615
-372846 -661
-389281 -720
-409556 -800
-431984 -897
-439453 -931
-470069 -1095
...

output:

252714495.2776288553

result:

ok found '252714495.2776289', expected '252714495.2776289', error '0.0000000'

Subtask #3:

score: 60
Accepted

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Test #41:

score: 60
Accepted
time: 145ms
memory: 18788kb

input:

500000
0 0
-1984 -1
-3948 -2
-5906 -3
-7858 -4
-9782 -5
-11687 -6
-13584 -7
-15396 -8
-17164 -9
-18920 -10
-20662 -11
-22403 -12
-24141 -13
-25841 -14
-27533 -15
-29130 -16
-30717 -17
-32294 -18
-33869 -19
-35416 -20
-36958 -21
-38470 -22
-39949 -23
-41422 -24
-42890 -25
-44343 -26
-45731 -27
-47089...

output:

250546651.9010666584

result:

ok found '250546651.9010667', expected '250546651.9010667', error '0.0000000'

Test #42:

score: 60
Accepted
time: 142ms
memory: 18848kb

input:

500000
0 0
-1966 -1
-3887 -2
-5788 -3
-7676 -4
-9407 -5
-11076 -6
-12731 -7
-14285 -8
-15829 -9
-17361 -10
-18869 -11
-20358 -12
-21841 -13
-23323 -14
-24788 -15
-26134 -16
-27457 -17
-28627 -18
-29768 -19
-30831 -20
-31881 -21
-32923 -22
-33956 -23
-34977 -24
-36961 -26
-37931 -27
-39798 -29
-40731...

output:

250435395.8838684289

result:

ok found '250435395.8838684', expected '250435395.8838684', error '0.0000000'

Test #43:

score: 60
Accepted
time: 144ms
memory: 18676kb

input:

500000
0 0
-1951 -1
-3898 -2
-5828 -3
-7755 -4
-9668 -5
-11540 -6
-13405 -7
-15238 -8
-17036 -9
-18696 -10
-20310 -11
-21918 -12
-23504 -13
-25087 -14
-26643 -15
-28191 -16
-29738 -17
-31216 -18
-32637 -19
-34040 -20
-35437 -21
-36800 -22
-38134 -23
-39411 -24
-40685 -25
-41952 -26
-43163 -27
-44372...

output:

250864379.7991594043

result:

ok found '250864379.7991594', expected '250864379.7991594', error '0.0000000'

Test #44:

score: 60
Accepted
time: 145ms
memory: 18832kb

input:

500000
0 0
-1966 -1
-3814 -2
-5658 -3
-7499 -4
-9288 -5
-10993 -6
-12683 -7
-14368 -8
-16001 -9
-17554 -10
-19098 -11
-20624 -12
-22046 -13
-23375 -14
-24684 -15
-25923 -16
-27157 -17
-28373 -18
-29570 -19
-30755 -20
-31940 -21
-33061 -22
-34101 -23
-36091 -25
-37085 -26
-39050 -28
-41010 -30
-42924...

output:

250490528.3016454197

result:

ok found '250490528.3016454', expected '250490528.3016454', error '0.0000000'

Test #45:

score: 60
Accepted
time: 141ms
memory: 18824kb

input:

500000
0 0
-2000 -1
-3991 -2
-5959 -3
-7812 -4
-9659 -5
-11486 -6
-13244 -7
-14965 -8
-16685 -9
-18403 -10
-20112 -11
-21769 -12
-23425 -13
-25049 -14
-26661 -15
-28245 -16
-29805 -17
-31321 -18
-32778 -19
-34227 -20
-35648 -21
-37063 -22
-38451 -23
-39834 -24
-41189 -25
-42537 -26
-43862 -27
-45146...

output:

250484765.8163518934

result:

ok found '250484765.8163519', expected '250484765.8163519', error '0.0000000'

Test #46:

score: 60
Accepted
time: 147ms
memory: 18772kb

input:

500000
0 0
-1999 -1
-3969 -2
-5883 -3
-7768 -4
-9646 -5
-11522 -6
-13386 -7
-15249 -8
-17083 -9
-18886 -10
-20620 -11
-22334 -12
-24010 -13
-25682 -14
-27345 -15
-28999 -16
-30653 -17
-32305 -18
-33880 -19
-35447 -20
-36987 -21
-38504 -22
-39992 -23
-41471 -24
-42894 -25
-44296 -26
-45677 -27
-47055...

output:

250230916.1903698042

result:

ok found '250230916.1903698', expected '250230916.1903698', error '0.0000000'

Test #47:

score: 60
Accepted
time: 141ms
memory: 18800kb

input:

500000
0 0
-1957 -1
-3908 -2
-5811 -3
-7704 -4
-9571 -5
-11424 -6
-13257 -7
-15084 -8
-16829 -9
-18554 -10
-20227 -11
-21839 -12
-23449 -13
-25057 -14
-26543 -15
-28022 -16
-29490 -17
-30930 -18
-32353 -19
-33776 -20
-35142 -21
-36453 -22
-37757 -23
-39042 -24
-40309 -25
-41564 -26
-42760 -27
-43906...

output:

251523690.4624040558

result:

ok found '251523690.4624040', expected '251523690.4624040', error '0.0000000'

Test #48:

score: 60
Accepted
time: 145ms
memory: 18852kb

input:

500000
0 0
-1955 -1
-3908 -2
-5832 -3
-7723 -4
-9572 -5
-11411 -6
-13149 -7
-14815 -8
-16416 -9
-18007 -10
-19594 -11
-21168 -12
-22677 -13
-24178 -14
-25679 -15
-27176 -16
-28658 -17
-30129 -18
-31590 -19
-33032 -20
-34442 -21
-35816 -22
-37044 -23
-38207 -24
-39344 -25
-40420 -26
-41421 -27
-43334...

output:

251183725.5046660303

result:

ok found '251183725.5046660', expected '251183725.5046660', error '0.0000000'

Test #49:

score: 60
Accepted
time: 141ms
memory: 18880kb

input:

500000
0 0
-1997 -1
-3931 -2
-5858 -3
-7761 -4
-9578 -5
-11389 -6
-13134 -7
-14876 -8
-16612 -9
-18328 -10
-19994 -11
-21530 -12
-23041 -13
-24493 -14
-25929 -15
-27352 -16
-28721 -17
-30062 -18
-31354 -19
-32639 -20
-33919 -21
-35198 -22
-36458 -23
-37669 -24
-38874 -25
-40072 -26
-41248 -27
-42388...

output:

250578576.6313597548

result:

ok found '250578576.6313598', expected '250578576.6313598', error '0.0000000'

Test #50:

score: 60
Accepted
time: 141ms
memory: 18760kb

input:

500000
0 0
-1945 -1
-3846 -2
-5639 -3
-7414 -4
-9185 -5
-10917 -6
-12609 -7
-14296 -8
-15973 -9
-17613 -10
-19227 -11
-20729 -12
-22204 -13
-23675 -14
-25145 -15
-26563 -16
-27980 -17
-29273 -18
-30544 -19
-31789 -20
-33034 -21
-34257 -22
-35442 -23
-36592 -24
-37740 -25
-38877 -26
-39955 -27
-41029...

output:

250877196.0392704983

result:

ok found '250877196.0392705', expected '250877196.0392705', error '0.0000000'

Extra Test:

score: -3
Extra Test Failed : Wrong Answer on 1
time: 0ms
memory: 4088kb

input:

3
1 1
2 2
3 3

output:

1.4142135624

result:

wrong answer 1st numbers differ - expected: '2.8284271', found: '1.4142136', error = '0.5000000'