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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#193508#7521. Find the Gapucup-team112#WA 0ms3844kbC++1716.1kb2023-09-30 17:17:542023-09-30 17:17:55

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你现在查看的是最新测评结果

  • [2023-09-30 17:17:55]
  • 评测
  • 测评结果:WA
  • 用时:0ms
  • 内存:3844kb
  • [2023-09-30 17:17:54]
  • 提交

answer

// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;

namespace templates {
// type
using ll  = long long;
using ull = unsigned long long;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));

// for loop
#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)

// declare and input
// clang-format off
#define INT(...) int __VA_ARGS__; inp(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__);
#define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__);
#define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__);
#define DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___);
#define VEC(T, A, n) vector<T> A(n); inp(A);
#define VVEC(T, A, n, m) vector<vector<T>> A(n, vector<T>(m)); inp(A);
// clang-format on

// const value
const ll MOD1   = 1000000007;
const ll MOD9   = 998244353;
const double PI = acos(-1);

// other macro
#ifndef RIN__LOCAL
#define endl "\n"
#endif
#define spa ' '
#define len(A) ll(A.size())
#define all(A) begin(A), end(A)

// function
vector<char> stoc(string &S) {
    int n = S.size();
    vector<char> ret(n);
    for (int i = 0; i < n; i++) ret[i] = S[i];
    return ret;
}
string ctos(vector<char> &S) {
    int n      = S.size();
    string ret = "";
    for (int i = 0; i < n; i++) ret += S[i];
    return ret;
}

template <class T>
auto min(const T &a) {
    return *min_element(all(a));
}
template <class T>
auto max(const T &a) {
    return *max_element(all(a));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
    return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
    return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
    return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
    auto b = clamp(a, l, r);
    return (a != b ? a = b, 1 : 0);
}

template <typename T>
T sum(vector<T> &A) {
    T tot = 0;
    for (auto a : A) tot += a;
    return tot;
}

template <typename T>
vector<T> compression(vector<T> X) {
    sort(all(X));
    X.erase(unique(all(X)), X.end());
    return X;
}

// input and output
namespace io {

// vector<T>
template <typename T>
istream &operator>>(istream &is, vector<T> &A) {
    for (auto &a : A) is >> a;
    return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << ' ';
    }
    return os;
}

// vector<vector<T>>
template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &A) {
    for (auto &a : A) is >> a;
    return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << endl;
    }
    return os;
}

// pair<S, T>
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &A) {
    is >> A.first >> A.second;
    return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, pair<S, T> &A) {
    os << A.first << ' ' << A.second;
    return os;
}

// vector<pair<S, T>>
template <typename S, typename T>
ostream &operator<<(ostream &os, vector<pair<S, T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << endl;
    }
    return os;
}

// set<T>
template <typename T>
ostream &operator<<(ostream &os, set<T> &A) {
    for (auto itr = A.begin(); itr != A.end(); itr++) {
        os << *itr;
        if (next(itr) != A.end()) os << ' ';
    }
    return os;
}

// unordered_set<T>
template <typename T>
ostream &operator<<(ostream &os, unordered_set<T> &A) {
    for (auto itr = A.begin(); itr != A.end(); itr++) {
        os << *itr;
        if (next(itr) != A.end()) os << ' ';
    }
    return os;
}

// multiset<T>
template <typename T>
ostream &operator<<(ostream &os, multiset<T> &A) {
    for (auto itr = A.begin(); itr != A.end(); itr++) {
        os << *itr;
        if (next(itr) != A.end()) os << ' ';
    }
    return os;
}

// unordered_multiset<T>
template <typename T>
ostream &operator<<(ostream &os, unordered_multiset<T> &A) {
    for (auto itr = A.begin(); itr != A.end(); itr++) {
        os << *itr;
        if (next(itr) != A.end()) os << endl;
    }
    return os;
}

// map<S, T>
template <typename S, typename T>
ostream &operator<<(ostream &os, map<S, T> &A) {
    for (auto itr = A.begin(); itr != A.end(); itr++) {
        os << *itr;
        if (next(itr) != A.end()) os << endl;
    }
    return os;
}

// unordered_map<S, T>
template <typename S, typename T>
ostream &operator<<(ostream &os, unordered_map<S, T> &A) {
    for (auto itr = A.begin(); itr != A.end(); itr++) {
        os << *itr;
        if (next(itr) != A.end()) os << endl;
    }
    return os;
}

// tuple
template <typename T, size_t N>
struct TuplePrint {
    static ostream &print(ostream &os, const T &t) {
        TuplePrint<T, N - 1>::print(os, t);
        os << ' ' << get<N - 1>(t);
        return os;
    }
};
template <typename T>
struct TuplePrint<T, 1> {
    static ostream &print(ostream &os, const T &t) {
        os << get<0>(t);
        return os;
    }
};
template <typename... Args>
ostream &operator<<(ostream &os, const tuple<Args...> &t) {
    TuplePrint<decltype(t), sizeof...(Args)>::print(os, t);
    return os;
}

// queue<T>
template <typename T>
ostream &operator<<(ostream &os, queue<T> &A) {
    auto B = A;
    while (!B.empty()) {
        os << B.front();
        B.pop();
        if (!B.empty()) os << ' ';
    }
    return os;
}

// deque<T>
template <typename T>
ostream &operator<<(ostream &os, deque<T> &A) {
    auto B = A;
    while (!B.empty()) {
        os << B.front();
        B.pop_front();
        if (!B.empty()) os << ' ';
    }
    return os;
}

// stack<T>
template <typename T>
ostream &operator<<(ostream &os, stack<T> &A) {
    auto B = A;
    stack<T> C;
    while (!B.empty()) {
        C.push(B.top());
        B.pop();
    }
    while (!C.empty()) {
        os << C.top();
        C.pop();
        if (!C.empty()) os << ' ';
    }
    return os;
}

// priority_queue<T>
template <typename T>
ostream &operator<<(ostream &os, priority_queue<T> &A) {
    auto B = A;
    while (!B.empty()) {
        os << B.top();
        B.pop();
        if (!B.empty()) os << endl;
    }
    return os;
}

// bitset<N>
template <size_t N>
ostream &operator<<(ostream &os, bitset<N> &A) {
    for (size_t i = 0; i < N; i++) {
        os << A[i];
    }
    return os;
}

// io functions
void FLUSH() {
    cout << flush;
}

void print() {
    cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
    cout << head;
    if (sizeof...(Tail)) cout << spa;
    print(forward<Tail>(tail)...);
}

template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
    int n = A.size();
    for (int i = 0; i < n; i++) {
        cout << A[i];
        if (i != n - 1) cout << sep;
    }
    cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
    cout << A << end;
}
template <typename T>
void prispa(T A) {
    priend(A, spa);
}
template <typename T, typename S>
bool printif(bool f, T A, S B) {
    if (f)
        print(A);
    else
        print(B);
    return f;
}

template <class... T>
void inp(T &...a) {
    (cin >> ... >> a);
}

} // namespace io
using namespace io;

// read graph
vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<int>> edges(n, vector<int>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        u -= indexed;
        v -= indexed;
        edges[u].push_back(v);
        if (!direct) edges[v].push_back(u);
    }
    return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
    return read_edges(n, n - 1, false, indexed);
}

template <typename T = long long>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        T w;
        inp(w);
        u -= indexed;
        v -= indexed;
        edges[u].push_back({v, w});
        if (!direct) edges[v].push_back({u, w});
    }
    return edges;
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
    return read_wedges<T>(n, n - 1, false, indexed);
}

// yes / no
namespace yesno {

// yes
inline bool yes(bool f = true) {
    cout << (f ? "yes" : "no") << endl;
    return f;
}
inline bool Yes(bool f = true) {
    cout << (f ? "Yes" : "No") << endl;
    return f;
}
inline bool YES(bool f = true) {
    cout << (f ? "YES" : "NO") << endl;
    return f;
}

// no
inline bool no(bool f = true) {
    cout << (!f ? "yes" : "no") << endl;
    return f;
}
inline bool No(bool f = true) {
    cout << (!f ? "Yes" : "No") << endl;
    return f;
}
inline bool NO(bool f = true) {
    cout << (!f ? "YES" : "NO") << endl;
    return f;
}

// possible
inline bool possible(bool f = true) {
    cout << (f ? "possible" : "impossible") << endl;
    return f;
}
inline bool Possible(bool f = true) {
    cout << (f ? "Possible" : "Impossible") << endl;
    return f;
}
inline bool POSSIBLE(bool f = true) {
    cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
    return f;
}

// impossible
inline bool impossible(bool f = true) {
    cout << (!f ? "possible" : "impossible") << endl;
    return f;
}
inline bool Impossible(bool f = true) {
    cout << (!f ? "Possible" : "Impossible") << endl;
    return f;
}
inline bool IMPOSSIBLE(bool f = true) {
    cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
    return f;
}

// Alice Bob
inline bool Alice(bool f = true) {
    cout << (f ? "Alice" : "Bob") << endl;
    return f;
}
inline bool Bob(bool f = true) {
    cout << (f ? "Bob" : "Alice") << endl;
    return f;
}

// Takahashi Aoki
inline bool Takahashi(bool f = true) {
    cout << (f ? "Takahashi" : "Aoki") << endl;
    return f;
}
inline bool Aoki(bool f = true) {
    cout << (f ? "Aoki" : "Takahashi") << endl;
    return f;
}

} // namespace yesno
using namespace yesno;

} // namespace templates
using namespace templates;

//// https://judge.u-aizu.ac.jp/onlinejudge/review.jsp?rid=4449247
#define INF 1000000000
const double EPS = 1e-8;

struct point3d {
    double x, y, z;
    point3d() : x(0), y(0), z(0) {}
    point3d(const point3d &p) : x(p.x), y(p.y), z(p.z) {}
    point3d(double x_, double y_, double z_) : x(x_), y(y_), z(z_) {}

    point3d &operator+=(point3d a) {
        x += a.x;
        y += a.y;
        z += a.z;
        return *this;
    }
    point3d &operator-=(point3d a) {
        x -= a.x;
        y -= a.y;
        z -= a.z;
        return *this;
    }
    point3d &operator*=(double a) {
        x *= a;
        y *= a;
        z *= a;
        return *this;
    }
    point3d &operator/=(double a) {
        x /= a;
        y /= a;
        z /= a;
        return *this;
    }
    point3d operator+(point3d a) const {
        return point3d(x, y, z) += a;
    }
    point3d operator-(point3d a) const {
        return point3d(x, y, z) -= a;
    }
    point3d operator*(double a) const {
        return point3d(x, y, z) *= a;
    }
    point3d operator/(double a) const {
        return point3d(x, y, z) /= a;
    }
    bool operator<(point3d a) const {
        return (x != a.x ? x < a.x : (y != a.y ? y < a.y : z < a.z));
    }
    bool operator==(point3d a) const {
        return (abs(x - a.x) < EPS && abs(y - a.y) < EPS && abs(z - a.z) < EPS);
    }
    bool operator!=(point3d a) const {
        return !(*this == a);
    }
};

struct segment3d : public array<point3d, 2> {
    segment3d(const point3d &a, const point3d &b) {
        at(0) = a;
        at(1) = b;
    }
};

double abs(point3d p) {
    return sqrt(p.x * p.x + p.y * p.y + p.z * p.z);
}

double dot(point3d a, point3d b) {
    return a.x * b.x + a.y * b.y + a.z * b.z;
}

point3d cross(point3d a, point3d b) {
    return point3d(a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x);
}

double angle(point3d a, point3d b) {
    return acos(dot(a, b) / (abs(a) * abs(b)));
}

struct plane {
    double a, b, c, d;
    plane() : a(0), b(0), c(0), d(0) {}
    plane(double a_, double b_, double c_, double d_) : a(a_), b(b_), c(c_), d(d_) {}
    plane(point3d p1, point3d p2, point3d p3) {
        point3d A = p2 - p1;
        point3d B = p3 - p1;
        point3d p = cross(A, B);
        a         = p.x;
        b         = p.y;
        c         = p.z;
        d         = -(a * p1.x + b * p1.y + c * p1.z);
    }
    double assignment(point3d p) {
        return a * p.x + b * p.y + c * p.z + d;
    }
};

double distance(point3d p, plane pl) {
    double a = (p.x * pl.a + p.y * pl.b + p.z * pl.c + pl.d);
    if (a == 0) return 0;
    double b = sqrt(pl.a * pl.a + pl.b * pl.b + pl.c * pl.c);
    return a / b;
}

double distance(plane p, point3d pl) {
    return distance(pl, p);
}

point3d projection(point3d p, plane pl) {
    double d  = distance(p, pl);
    point3d a = point3d(pl.a, pl.b, pl.c);
    a /= abs(a);
    point3d ret = p + a * d;
    if (distance(ret, pl) < EPS) return ret;
    return p - a * d;
}

point3d crossPoint3d(segment3d s, plane p) {
    double bunsi = p.a * s[0].x + p.b * s[0].y + p.c * s[0].z + p.d;
    double bunbo = p.a * (s[0].x - s[1].x) + p.b * (s[0].y - s[1].y) + p.c * (s[0].z - s[1].z);
    if (abs(bunbo) < EPS) return point3d(INF, INF, INF);
    double t = bunsi / bunbo;
    return s[0] + (s[1] - s[0]) * t;
}

namespace std {
istream &operator>>(std::istream &is, point3d &p) {
    is >> p.x >> p.y >> p.z;
    return is;
}

ostream &operator<<(ostream &os, const point3d &p) {
    os << p.x << " " << p.y << " " << p.z;
    return os;
}

ostream &operator<<(ostream &os, const plane &p) {
    os << p.a << "x + " << p.b << "y + " << p.c << "z + " << p.d;
    return os;
}
} // namespace std

using ld = long double;
void solve() {
    INT(n);
    VEC(point3d, P, n);
    if (n <= 3) {
        print(0);
        return;
    }

    ld ans = 1e50;
    fori(i, n) fori(j, i + 1, n) fori(k, j + 1, n) {
        plane pl(P[i], P[j], P[k]);

        ld mi = 1e30;
        ld ma = -1e30;
        fori(t, n) {
            ld d = distance(P[t], pl);
            chmin(mi, d);
            chmax(ma, d);
        }
        chmin(ans, ma - mi);
    }

    fori(i, n) fori(j, i + 1, n) {
        fori(k, i, n) fori(l, k + 1, n) {
            if (i == k or i == l or j == k or j == l) continue;
            point3d a = P[i];
            point3d b = P[j];
            point3d c = P[l] + P[i] - P[k];
            plane pl(a, b, c);

            ld mi = 1e30;
            ld ma = -1e30;
            fori(t, n) {
                ld d = distance(P[t], pl);
                chmin(mi, d);
                chmax(ma, d);
            }

            chmin(ans, ma - mi);
        }
    }

    print(ans);
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    cout << fixed << setprecision(12);
    int t;
    t = 1;
    // cin >> t;
    while (t--) solve();
    return 0;
}

Details

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Test #1:

score: 0
Wrong Answer
time: 0ms
memory: 3844kb

input:

8
1 1 1
1 1 2
1 2 1
1 2 2
2 1 1
2 1 2
2 2 1
2 2 2

output:

0.000000000000

result:

wrong answer 1st numbers differ - expected: '1.0000000', found: '0.0000000', error = '1.0000000'