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#618984#784. 旋转卡壳Ycfhnnd100 ✓118ms34236kbC++2019.0kb2024-10-07 12:28:352024-10-07 12:28:36

Judging History

你现在查看的是测评时间为 2024-10-07 12:28:36 的历史记录

  • [2024-10-16 12:22:58]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:100
  • 用时:114ms
  • 内存:33736kb
  • [2024-10-16 12:18:36]
  • hack成功,自动添加数据
  • (/hack/1005)
  • [2024-10-07 12:28:36]
  • 评测
  • 测评结果:100
  • 用时:118ms
  • 内存:34236kb
  • [2024-10-07 12:28:35]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
using f64 = long double;
using i128 = __int128;
using f128 = __float128;template<class T>
struct Point {
    T x;
    T y;
    Point(const T &x_ = 0, const T &y_ = 0) : x(x_), y(y_) {}

    template<class U>
    operator Point<U>() {
        return Point<U>(U(x), U(y));
    }
    Point &operator+=(const Point &p) & {
        x += p.x;
        y += p.y;
        return *this;
    }
    Point &operator-=(const Point &p) & {
        x -= p.x;
        y -= p.y;
        return *this;
    }
    Point &operator*=(const T &v) & {
        x *= v;
        y *= v;
        return *this;
    }
    Point &operator/=(const T &v) & {
        x /= v;
        y /= v;
        return *this;
    }
    Point operator-() const {
        return Point(-x, -y);
    }
    constexpr friend Point operator+(Point a, const Point &b) {
        return a += b;
    }
    constexpr friend Point operator-(Point a, const Point &b) {
        return a -= b;
    }
    constexpr friend Point operator*(Point a, const T &b) {
        return a *= b;
    }
    constexpr friend Point operator/(Point a, const T &b) {
        return a /= b;
    }
    constexpr friend Point operator*(const T &a, Point b) {
        return b *= a;
    }
    constexpr friend bool operator==(const Point &a, const Point &b) {
        return a.x == b.x && a.y == b.y;
    }
    friend std::istream &operator>>(std::istream &is, Point &p) {
        return is >> p.x >> p.y;
    }
    friend std::ostream &operator<<(std::ostream &os, const Point &p) {
        return os << "(" << p.x << ", " << p.y << ")";
    }
};

template<class T>
struct Line {
    Point<T> a;
    Point<T> b;
    Line(const Point<T> &a_ = Point<T>(), const Point<T> &b_ = Point<T>()) : a(a_), b(b_) {}
};

template<class T>
T dot(const Point<T> &a, const Point<T> &b) {
    return a.x * b.x + a.y * b.y;
}

template<class T>
T cross(const Point<T> &a, const Point<T> &b) {
    return a.x * b.y - a.y * b.x;
}

template<class T>
T square(const Point<T> &p) {
    return dot(p, p);
}

template<class T>
f64 length(const Point<T> &p) {
    return sqrtl(square(p));
}

template<class T>
f64 length(const Line<T> &l) {
    return length(l.a - l.b);
}

template<class T>
Point<T> normalize(const Point<T> &p) {
    return p / length(p);
}

template<class T>
bool parallel(const Line<T> &l1, const Line<T> &l2) {
    return cross(l1.b - l1.a, l2.b - l2.a) == 0;
}

template<class T>
f64 distance(const Point<T> &a, const Point<T> &b) {
    return length(a - b);
}

template<class T>
f64 distancePL(const Point<T> &p, const Line<T> &l) {
    return std::abs(cross(l.a - l.b, l.a - p)) / length(l);
}

template<class T>
f64 distancePS(const Point<T> &p, const Line<T> &l) {
    if (dot(p - l.a, l.b - l.a) < 0) {
        return distance(p, l.a);
    }
    if (dot(p - l.b, l.a - l.b) < 0) {
        return distance(p, l.b);
    }
    return distancePL(p, l);
}

template<class T>
Point<T> rotate(const Point<T> &a) {
    return Point(-a.y, a.x);
}

template<class T>
int sgn(const Point<T> &a) {
    return a.y > 0 or (a.y == 0 and a.x > 0) ? 1 : -1;
}

template<class T>
f64 angle(const Point<T>& p) {
    return std::atan2(p.y, p.x);
}

template<class T>
f64 angle(const Line<T>& l) {
    return angle(l.b - l.a);
}

template<class T>
bool pointOnLineLeft(const Point<T> &p, const Line<T> &l) {
    return cross(l.b - l.a, p - l.a) > 0;
}

template<class T>
Point<T> lineIntersection(const Line<T> &l1, const Line<T> &l2) {
    return l1.a + (l1.b - l1.a) * (cross(l2.b - l2.a, l1.a - l2.a) / cross(l2.b - l2.a, l1.a - l1.b));
}

template<class T>
bool pointOnSegment(const Point<T> &p, const Line<T> &l) {
    return cross(p - l.a, l.b - l.a) == 0 and std::min(l.a.x, l.b.x) <= p.x and p.x <= std::max(l.a.x, l.b.x) and std::min(l.a.y, l.b.y) <= p.y and p.y <= std::max(l.a.y, l.b.y);
}

template<class T>
bool pointOnLine(const Point<T> &p, const Line<T> &l) {
    return pointOnSegment(p, l) or pointOnSegment(l.a, Line(p, l.b)) or pointOnSegment(l.b, Line(p, l.a));
}

template<class T>
bool pointInPolygon(const Point<T> &a, const std::vector<Point<T>> &p) {
    int n = p.size();
    for (int i = 0; i < n; i++) {
        if (pointOnSegment(a, Line(p[i], p[(i + 1) % n]))) {
            return true;
        }
    }
    int t = 0;
    for (int i = 0; i < n; i++) {
        const auto &u = p[i];
        const auto &v = p[(i + 1) % n];
        if (u.x < a.x and v.x >= a.x and pointOnLineLeft(a, Line(v, u))) {
            t ^= 1;
        }
        if (u.x >= a.x and v.x < a.x and pointOnLineLeft(a, Line(u, v))) {
            t ^= 1;
        }
    }
    return t == 1;
}

// 0 : not intersect
// 1 : strictly intersect
// 2 : overlap
// 3 : intersect at endpoint
template<class T>
std::tuple<int, Point<T>, Point<T>> segmentIntersection(const Line<T> &l1, const Line<T> &l2) {
    if (std::max(l1.a.x, l1.b.x) < std::min(l2.a.x, l2.b.x)) {
        return {0, Point<T>(), Point<T>()};
    }
    if (std::min(l1.a.x, l1.b.x) > std::max(l2.a.x, l2.b.x)) {
        return {0, Point<T>(), Point<T>()};
    }
    if (std::max(l1.a.y, l1.b.y) < std::min(l2.a.y, l2.b.y)) {
        return {0, Point<T>(), Point<T>()};
    }
    if (std::min(l1.a.y, l1.b.y) > std::max(l2.a.y, l2.b.y)) {
        return {0, Point<T>(), Point<T>()};
    }
    if (cross(l1.b - l1.a, l2.b - l2.a) == 0) {
        if (cross(l1.b - l1.a, l2.a - l1.a) != 0) {
            return {0, Point<T>(), Point<T>()};
        } else {
            const auto &maxx1 = std::max(l1.a.x, l1.b.x);
            const auto &minx1 = std::min(l1.a.x, l1.b.x);
            const auto &maxy1 = std::max(l1.a.y, l1.b.y);
            const auto &miny1 = std::min(l1.a.y, l1.b.y);
            const auto &maxx2 = std::max(l2.a.x, l2.b.x);
            const auto &minx2 = std::min(l2.a.x, l2.b.x);
            const auto &maxy2 = std::max(l2.a.y, l2.b.y);
            const auto &miny2 = std::min(l2.a.y, l2.b.y);
            Point<T> p1(std::max(minx1, minx2), std::max(miny1, miny2));
            Point<T> p2(std::min(maxx1, maxx2), std::min(maxy1, maxy2));
            if (!pointOnSegment(p1, l1)) {
                std::swap(p1.y, p2.y);
            }
            if (p1 == p2) {
                return {3, p1, p2};
            } else {
                return {2, p1, p2};
            }
        }
    }
    const auto &cp1 = cross(l2.a - l1.a, l2.b - l1.a);
    const auto &cp2 = cross(l2.a - l1.b, l2.b - l1.b);
    const auto &cp3 = cross(l1.a - l2.a, l1.b - l2.a);
    const auto &cp4 = cross(l1.a - l2.b, l1.b - l2.b);
    if ((cp1 > 0 and cp2 > 0) or (cp1 < 0 and cp2 < 0) or (cp3 > 0 and cp4 > 0) or (cp3 < 0 and cp4 < 0)) {
        return {0, Point<T>(), Point<T>()};
    }
    Point p = lineIntersection(l1, l2);
    if (cp1 != 0 and cp2 != 0 and cp3 != 0 and cp4 != 0) {
        return {1, p, p};
    } else {
        return {3, p, p};
    }
}

template<class T>
f64 distanceSS(const Line<T> &l1, const Line<T> &l2) {
    if (std::get<0>(segmentIntersection(l1, l2)) != 0) {
        return 0.0;
    }
    return std::min({distancePS(l1.a, l2), distancePS(l1.b, l2), distancePS(l2.a, l1), distancePS(l2.b, l1)});
}

template<class T>
bool segmentInPolygon(const Line<T> &l, const std::vector<Point<T>> &p) {
    int n = p.size();
    if (!pointInPolygon(l.a, p)) {
        return false;
    }
    if (!pointInPolygon(l.b, p)) {
        return false;
    }
    for (int i = 0; i < n; i++) {
        const auto &u = p[i];
        const auto &v = p[(i + 1) % n];
        const auto &w = p[(i + 2) % n];
        const auto &[t, p1, p2] = segmentIntersection(l, Line(u, v));

        if (t == 1) {
            return false;
        }
        if (t == 0) {
            continue;
        }
        if (t == 2) {
            if (pointOnSegment(v, l) and v != l.a and v != l.b) {
                if (cross(v - u, w - v) > 0) {
                    return false;
                }
            }
        } else {
            if (p1 != u and p1 != v) {
                if (pointOnLineLeft(l.a, Line(v, u)) or pointOnLineLeft(l.b, Line(v, u))) {
                    return false;
                }
            } else if (p1 == v) {
                if (l.a == v) {
                    if (pointOnLineLeft(u, l)) {
                        if (pointOnLineLeft(w, l) and pointOnLineLeft(w, Line(u, v))) {
                            return false;
                        }
                    } else {
                        if (pointOnLineLeft(w, l) or pointOnLineLeft(w, Line(u, v))) {
                            return false;
                        }
                    }
                } else if (l.b == v) {
                    if (pointOnLineLeft(u, Line(l.b, l.a))) {
                        if (pointOnLineLeft(w, Line(l.b, l.a)) and pointOnLineLeft(w, Line(u, v))) {
                            return false;
                        }
                    } else {
                        if (pointOnLineLeft(w, Line(l.b, l.a)) or pointOnLineLeft(w, Line(u, v))) {
                            return false;
                        }
                    }
                } else {
                    if (pointOnLineLeft(u, l)) {
                        if (pointOnLineLeft(w, Line(l.b, l.a)) or pointOnLineLeft(w, Line(u, v))) {
                            return false;
                        }
                    } else {
                        if (pointOnLineLeft(w, l) or pointOnLineLeft(w, Line(u, v))) {
                            return false;
                        }
                    }
                }
            }
        }
    }
    return true;
}

template<class T>
std::vector<Point<T>> hp(std::vector<Line<T>> lines) {
    std::sort(lines.begin(), lines.end(), [&](const auto & l1, const auto & l2) {
        const auto &d1 = l1.b - l1.a;
        const auto &d2 = l2.b - l2.a;
        if (sgn(d1) != sgn(d2)) {
            return sgn(d1) == 1;
        }
        return cross(d1, d2) > 0;
    });
    std::deque<Line<T>> ls;
    std::deque<Point<T>> ps;
    for (const auto &l : lines) {
        if (ls.empty()) {
            ls.push_back(l);
            continue;
        }
        while (!ps.empty() and !pointOnLineLeft(ps.back(), l)) {
            ps.pop_back();
            ls.pop_back();
        }
        while (!ps.empty() and !pointOnLineLeft(ps[0], l)) {
            ps.pop_front();
            ls.pop_front();
        }
        if (cross(l.b - l.a, ls.back().b - ls.back().a) == 0) {
            if (dot(l.b - l.a, ls.back().b - ls.back().a) > 0) {

                if (!pointOnLineLeft(ls.back().a, l)) {
                    assert(ls.size() == 1);
                    ls[0] = l;
                }
                continue;
            }
            return {};
        }
        ps.push_back(lineIntersection(ls.back(), l));
        ls.push_back(l);
    }
    while (!ps.empty() and !pointOnLineLeft(ps.back(), ls[0])) {
        ps.pop_back();
        ls.pop_back();
    }
    if (ls.size() <= 2) {
        return {};
    }
    ps.push_back(lineIntersection(ls[0], ls.back()));
    return std::vector(ps.begin(), ps.end());
}

template<class T>
T PolygonArea(const std::vector<Point<T>> &p) {
    T res = T(0);
    int n = p.size();
    for (int i = 0; i < n; i += 1) {
        res += cross(p[i], p[(i + 1) % n]);
    }
    return std::abs(res) * 0.5;
}

template<class T>
std::vector<Point<T>> getHull(std::vector<Point<T>> p) {
    std::vector<Point<T>>h, l;
    std::sort(p.begin(), p.end(), [&](const auto & a, const auto & b) {
        return a.x == b.x ? a.y < b.y : a.x < b.x;
    });
    p.erase(std::unique(p.begin(), p.end()), p.end());
    if (p.size() <= 1) {
        return p;
    }
    for (const auto & a : p) {
        while ((int)h.size() > 1 and cross(a - h.back(), a - h[(int)h.size() - 2]) <= 0) {
            h.pop_back();
        }
        while ((int)l.size() > 1 and cross(a - l.back(), a - l[(int)l.size() - 2]) >= 0) {
            l.pop_back();
        }
        l.push_back(a);
        h.push_back(a);
    }
    l.pop_back();
    std::reverse(h.begin(), h.end());
    h.pop_back();
    l.insert(l.end(), h.begin(), h.end());
    return l;
}

template<class T>
std::tuple<T, Point<T>, Point<T>> getLongest(const std::vector<Point<T>>& ret) {
    std::vector<Point<T>> p = getHull(ret);
    int n = p.size();

    T res = T(0);
    Point<T> a = Point<T>(), b = Point<T>();
    int x = 0, y = 0;
    for (int i = 0; i < n; i += 1) {
        if (p[i].y < p[x].y)x = i;
        if (p[i].y > p[y].y)y = i;
    }
    res = square(p[x] - p[y]);
    a = p[x], b = p[y];
    int i = x, j = y;
    do {
        if (cross(p[(i + 1) % n] - p[i], p[(j + 1) % n] - p[j]) < 0) {
            i = (i + 1) % n;
        } else {
            j = (j + 1) % n;
        }
        if (square(p[i] - p[j]) > res) {
            res = square(p[i] - p[j]);
            a = p[i], b = p[j];
        }
    } while (i != x or j != y);
    return {res, a, b};
}

template<class T>
std::tuple<T, Point<T>, Point<T>> getClostest(std::vector<Point<T>> p) {
    std::sort(p.begin(), p.end(), [&](const auto & a, const auto & b) {
        return a.x == b.x ? a.y < b.y : a.x < b.x;
    });
    T res = std::numeric_limits<T>::max();
    Point<T> a = Point<T>(), b = Point<T>();
    int n = p.size();

    auto update = [&](const Point<T>& u, const Point<T>& v) {
        if (res > square(u - v)) {
            res = square(u - v);
            a = u;
            b = v;
        }
    };

    auto s = std::multiset < Point<T>, decltype([](const Point<T>& u, const Point<T>& v) {
        return u.y == v.y ? u.x < v.x : u.y < v.y;
    }) > ();
    std::vector<typename decltype(s)::const_iterator>its(n);
    for (int i = 0, f = 0; i < n; i += 1) {
        while (f < i and (p[i] - p[f]).x * (p[i] - p[f]).x >= res) {
            s.erase(its[f++]);
        }
        auto u = s.upper_bound(p[i]); {
            auto t = u;
            while (true) {
                if (t == s.begin()) {
                    break;
                }
                t = std::prev(t);
                update(*t, p[i]);
                if ((p[i] - *t).y * (p[i] - *t).y >= res) {
                    break;
                }
            }
        }{
            auto t = u;
            while (true) {
                if (t == s.end()) {
                    break;
                }
                if ((p[i] - *t).y * (p[i] - *t).y >= res) {
                    break;
                }
                update(*t, p[i]);
                t = std::next(t);
            }
        }
        its[i] = s.emplace_hint(u, p[i]);
    }

    return {res, a, b};
}

template<class T>
std::pair<T, std::vector<Point<T>>> rectCoverage(const std::vector<Point<T>>& p) {
    T res = std::numeric_limits<T>::max();
    std::vector<Point<T>>rect;
    std::array<int, 4>pos {};
    int n = p.size();
    if (n < 3) {
        return std::pair(res, rect);
    }
    for (int i = 0, r = 1, j = 1, q = 0; i < n; i += 1) {
        while (cross(p[(i + 1) % n] - p[i], p[(r + 1) % n] - p[i]) >= cross(p[(i + 1) % n] - p[i], p[r] - p[i])) {
            r = (r + 1) % n;
        }
        while (dot(p[(i + 1) % n] - p[i], p[(j + 1) % n] - p[i]) >= dot(p[(i + 1) % n] - p[i], p[j] - p[i])) {
            j = (j + 1) % n;
        }
        if (i == 0) {
            q = j;
        }
        while (dot(p[(i + 1) % n] - p[i], p[(q + 1) % n] - p[i]) <= dot(p[(i + 1) % n] - p[i], p[q] - p[i])) {
            q = (q + 1) % n;
        }
        T d = square(p[i] - p[(i + 1) % n]);
        T area = cross(p[(i + 1) % n] - p[i], p[r] - p[i]) * (dot(p[(i + 1) % n] - p[i], p[j] - p[i]) - dot(p[(i + 1) % n] - p[i], p[q] - p[i])) / d;
        if (area < res) {
            res = area;
            pos[0] = r;
            pos[1] = j;
            pos[2] = q;
            pos[3] = i;
        }
    }
    const auto& [r, j, q, i] = pos;
    Line<T> l1 = Line(p[i], p[(i + 1) % n]);
    Point t = p[(i + 1) % n] - p[i];
    Line<T> l2 = Line(p[r], p[r] + t);
    t = rotate(t);
    Line<T> l3 = Line(p[j], p[j] + t);
    Line<T> l4 = Line(p[q], p[q] + t);

    rect.push_back(lineIntersection(l1, l3));
    rect.push_back(lineIntersection(l1, l4));
    rect.push_back(lineIntersection(l2, l3));
    rect.push_back(lineIntersection(l2, l4));

    rect = getHull(rect);
    return std::pair(res, rect);
}

template<class T>
Point<T> triangleHeart(const Point<T>& A, const Point<T>& B, const Point<T>& C) {
    return (A * square(B - C) + B * square(C - A) + C * square(A - B)) / (square(B - C) + square(C - A) + square(A - B));
}

template<class T>
Point<T> circumcenter(const Point<T>& a, const Point<T>& b, const Point<T>& c) {
    T D = 2 * (a.x * (b.y - c.y) + b.x * (c.y - a.y) + c.x * (a.y - b.y));
    assert(D != 0);
    Point<T> p;
    p.x = ((square(a) * (b.y - c.y) + (square(b) * (c.y - a.y)) + (square(c) * (a.y - b.y)))) / D;
    p.y = ((square(a) * (c.x - b.x) + (square(b) * (a.x - c.x)) + (square(c) * (b.x - a.x)))) / D;
    return p;
}

std::mt19937 rng(std::chrono::steady_clock::now().time_since_epoch().count());

template<class T>
std::pair<Point<T>, T> cirlCoverage(std::vector<Point<T>> p) {
    for (int t = 0; t < 7; t += 1) {
        std::shuffle(p.begin(), p.end(), rng);
    }
    int n = p.size();
    Point<T> o = p[0];
    T r = T(0);
    for (int i = 1; i < n; i += 1) {
        if (length(o - p[i]) > r) {
            o = p[i];
            r = T(0);
            for (int j = 0; j < i; j += 1) {
                if (length(o - p[j]) > r) {
                    o = (p[i] + p[j]) / T(2);
                    r = length(o - p[i]);
                    for (int k = 0; k < j; k += 1) {
                        if (length(o - p[k]) > r) {
                            o = circumcenter(p[i], p[j], p[k]);
                            r = length(o - p[i]);
                        }
                    }
                }
            }
        }
    }
    return std::pair(o, r);
}

template<class F>
f64 asr(f64 l, f64 r, const F& pred) {
    static constexpr f64 eps = 1e-9;
    auto simpson = [&](f64 l, f64 r) {
        f64 mid = (l + r) / 2;
        return (pred(l) + 4 * pred(mid) + pred(r)) * (r - l) / 6;
    };
    auto cal = [&](auto && self, f64 l, f64 r, f64 res) {
        f64 mid = (l + r) / 2;
        f64 lo = simpson(l, mid), hi = simpson(mid, r);
        if (std::abs(lo + hi - res) < eps) {
            return lo + hi;
        }
        return self(self, l, mid, lo) + self(self, mid, r, hi);
    };
    return cal(cal, l, r, simpson(l, r));
}

using P = Point<i64>;
using L = Line<i64>;
int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);

    int n;
    cin >> n;
    vector<P>p(n);
    for (int i = 0;i < n;i ++){
        cin >> p[i];
    }

    auto [d, p1, p2] = getLongest(p);
    cout << fixed << setprecision(20) << sqrtl(d) << '\n';

    return 0;
} 

这程序好像有点Bug,我给组数据试试?

详细

Subtask #1:

score: 10
Accepted

Test #1:

score: 10
Accepted
time: 1ms
memory: 4040kb

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:

274339223.18956139014335349202

result:

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

Test #2:

score: 10
Accepted
time: 1ms
memory: 4040kb

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:

262687047.92749063325754832476

result:

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

Test #3:

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

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:

257868038.64358968866872601211

result:

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

Test #4:

score: 10
Accepted
time: 1ms
memory: 3876kb

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:

259539672.48045338665542658418

result:

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

Test #5:

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

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:

250217366.48262185120256617665

result:

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

Test #6:

score: 10
Accepted
time: 1ms
memory: 3964kb

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:

256130723.00536800890404265374

result:

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

Test #7:

score: 10
Accepted
time: 1ms
memory: 4024kb

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:

268992022.05706923903198912740

result:

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

Test #8:

score: 10
Accepted
time: 1ms
memory: 3968kb

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:

251395356.72298732813214883208

result:

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

Test #9:

score: 10
Accepted
time: 1ms
memory: 3948kb

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:

259639018.61669574759434908628

result:

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

Test #10:

score: 10
Accepted
time: 1ms
memory: 3964kb

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:

267554454.17624513544433284551

result:

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

Test #11:

score: 10
Accepted
time: 1ms
memory: 4040kb

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:

259903024.73359102674294263124

result:

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

Test #12:

score: 10
Accepted
time: 1ms
memory: 3976kb

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:

261658565.58269496100547257811

result:

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

Test #13:

score: 10
Accepted
time: 1ms
memory: 4020kb

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:

256353710.97301633171446155757

result:

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

Test #14:

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

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:

255498134.51578072334814351052

result:

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

Test #15:

score: 10
Accepted
time: 1ms
memory: 3944kb

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:

258992362.53001142312132287771

result:

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

Test #16:

score: 10
Accepted
time: 0ms
memory: 3960kb

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:

260884926.04984606507059652358

result:

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

Test #17:

score: 10
Accepted
time: 1ms
memory: 3956kb

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:

259788149.39960452514060307294

result:

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

Test #18:

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

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:

277834510.77803003916051238775

result:

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

Test #19:

score: 10
Accepted
time: 1ms
memory: 3964kb

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:

261984352.62711077608400955796

result:

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

Test #20:

score: 10
Accepted
time: 1ms
memory: 3952kb

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:

265979549.58099117926030885428

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: 7ms
memory: 5532kb

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
-317883 -637
-340594 -728
-350940 -781
-374263 -905
-400736 -1046
-427862 -1199
-450458 -1327
-465289 -1413
-485809 -1534
-517032 -1724
-548368 -1921
-576015...

output:

254843548.69864025851711630821

result:

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

Test #22:

score: 30
Accepted
time: 3ms
memory: 5464kb

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:

250853956.02396891042008064687

result:

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

Test #23:

score: 30
Accepted
time: 7ms
memory: 5516kb

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:

250990461.75850581513077486306

result:

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

Test #24:

score: 30
Accepted
time: 7ms
memory: 5284kb

input:

30000
0 0
-25406 -9
-53669 -24
-62096 -33
-84905 -59
-97980 -83
-118490 -127
-139980 -180
-168464 -256
-187325 -315
-208655 -393
-215588 -421
-244663 -541
-261958 -614
-288250 -735
-294235 -765
-308563 -838
-338619 -993
-350477 -1059
-363699 -1134
-379676 -1232
-398726 -1354
-430095 -1576
-459666 -1...

output:

253698546.20017404427926521748

result:

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

Test #25:

score: 30
Accepted
time: 7ms
memory: 5416kb

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:

249331713.28104791451187338680

result:

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

Test #26:

score: 30
Accepted
time: 7ms
memory: 5120kb

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
-318637 -513
-346959 -588
-371288 -663
-398215 -753
-430925 -909
-460659 -1052
-492385 -1212
-522834 -1369
-544343 -1480
-574493 -1645
-591923 -1...

output:

252099986.10160241340054199100

result:

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

Test #27:

score: 30
Accepted
time: 7ms
memory: 5516kb

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
-278459 -388
-305011 -451
-334920 -535
-359764 -614
-386317 -705
-387178 -708
-403823 -768
-433061 -876
-462803 -990
-476883 -1056
-501388 -1177
-...

output:

252058372.18727916914212983102

result:

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

Test #28:

score: 30
Accepted
time: 7ms
memory: 5324kb

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:

250472754.01901046090642921627

result:

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

Test #29:

score: 30
Accepted
time: 7ms
memory: 5308kb

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:

250911365.39282511544297449291

result:

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

Test #30:

score: 30
Accepted
time: 7ms
memory: 5300kb

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
-373220 -977
-398856 -1098
-425367 -1243
-452654 -1396
-476703 -1537
-489569 -1615
-493812 -1641
-521509 -1812
-5419...

output:

250844611.90270907830563373864

result:

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

Test #31:

score: 30
Accepted
time: 7ms
memory: 5512kb

input:

30000
0 0
-25799 -4
-55851 -26
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output:

252561817.96490262435690965503

result:

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

Test #32:

score: 30
Accepted
time: 7ms
memory: 5460kb

input:

30000
0 0
-26056 -4
-54769 -14
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-44041...

output:

253995087.91240978642599657178

result:

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

Test #33:

score: 30
Accepted
time: 7ms
memory: 5144kb

input:

30000
0 0
-9535 -2
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output:

252472448.52755331291700713336

result:

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

Test #34:

score: 30
Accepted
time: 3ms
memory: 5336kb

input:

30000
0 0
-24944 -5
-45218 -18
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output:

251091289.92118156905053183436

result:

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

Test #35:

score: 30
Accepted
time: 7ms
memory: 5456kb

input:

30000
0 0
-30995 -2
-54625 -11
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output:

252314719.97350808743794914335

result:

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

Test #36:

score: 30
Accepted
time: 7ms
memory: 5312kb

input:

30000
0 0
-27620 -15
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-537113...

output:

252132224.51777776872040703893

result:

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

Test #37:

score: 30
Accepted
time: 3ms
memory: 5424kb

input:

30000
0 0
-26512 -10
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output:

251728991.75518149284471292049

result:

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

Test #38:

score: 30
Accepted
time: 7ms
memory: 5312kb

input:

30000
0 0
-29212 -4
-38598 -7
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output:

252836476.43636386707657948136

result:

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

Test #39:

score: 30
Accepted
time: 7ms
memory: 5296kb

input:

30000
0 0
-32998 -8
-60868 -23
-90627 -40
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output:

254810274.42355004457931499928

result:

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

Test #40:

score: 30
Accepted
time: 3ms
memory: 5208kb

input:

30000
0 0
-8940 -5
-33085 -27
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...

output:

252714495.27762885528500191867

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: 109ms
memory: 33928kb

input:

500000
0 0
-1984 -1
-3948 -2
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-9782 -5
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-47089...

output:

250546651.90106665842176880687

result:

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

Test #42:

score: 60
Accepted
time: 108ms
memory: 33652kb

input:

500000
0 0
-1966 -1
-3887 -2
-5788 -3
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-40731...

output:

250435395.88386842886393424124

result:

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

Test #43:

score: 60
Accepted
time: 106ms
memory: 33280kb

input:

500000
0 0
-1951 -1
-3898 -2
-5828 -3
-7755 -4
-9668 -5
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-44372...

output:

250864379.79915940429782494903

result:

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

Test #44:

score: 60
Accepted
time: 118ms
memory: 33476kb

input:

500000
0 0
-1966 -1
-3814 -2
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-7499 -4
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-41010 -30
-42924...

output:

250490528.30164541972044389695

result:

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

Test #45:

score: 60
Accepted
time: 105ms
memory: 33908kb

input:

500000
0 0
-2000 -1
-3991 -2
-5959 -3
-7812 -4
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-45146...

output:

250484765.81635189335793256760

result:

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

Test #46:

score: 60
Accepted
time: 101ms
memory: 33960kb

input:

500000
0 0
-1999 -1
-3969 -2
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-7768 -4
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-47055...

output:

250230916.19036980418604798615

result:

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

Test #47:

score: 60
Accepted
time: 116ms
memory: 34236kb

input:

500000
0 0
-1957 -1
-3908 -2
-5811 -3
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-43906...

output:

251523690.46240405582648236305

result:

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

Test #48:

score: 60
Accepted
time: 101ms
memory: 33672kb

input:

500000
0 0
-1955 -1
-3908 -2
-5832 -3
-7723 -4
-9572 -5
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-43334...

output:

251183725.50466603030508849770

result:

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

Test #49:

score: 60
Accepted
time: 109ms
memory: 33520kb

input:

500000
0 0
-1997 -1
-3931 -2
-5858 -3
-7761 -4
-9578 -5
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-42388...

output:

250578576.63135975479963235557

result:

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

Test #50:

score: 60
Accepted
time: 102ms
memory: 33644kb

input:

500000
0 0
-1945 -1
-3846 -2
-5639 -3
-7414 -4
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-41029...

output:

250877196.03927049829508177936

result:

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

Extra Test:

score: 0
Extra Test Passed