結果

問題 No.620 ぐるぐるぐるりん
ユーザー PachicobuePachicobue
提出日時 2017-12-20 20:41:26
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
RE  
実行時間 -
コード長 6,213 bytes
コンパイル時間 2,197 ms
コンパイル使用メモリ 204,740 KB
実行使用メモリ 6,940 KB
最終ジャッジ日時 2024-05-09 16:40:28
合計ジャッジ時間 4,395 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge1
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 2 ms
5,376 KB
testcase_08 AC 2 ms
5,376 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 2 ms
5,376 KB
testcase_12 AC 2 ms
5,376 KB
testcase_13 AC 2 ms
5,376 KB
testcase_14 AC 2 ms
5,376 KB
testcase_15 AC 2 ms
5,376 KB
testcase_16 AC 2 ms
5,376 KB
testcase_17 AC 2 ms
5,376 KB
testcase_18 AC 1 ms
5,376 KB
testcase_19 AC 2 ms
5,376 KB
testcase_20 AC 2 ms
5,376 KB
testcase_21 AC 2 ms
5,376 KB
testcase_22 AC 2 ms
5,376 KB
testcase_23 AC 2 ms
5,376 KB
testcase_24 AC 2 ms
5,376 KB
testcase_25 AC 2 ms
5,376 KB
testcase_26 AC 73 ms
5,376 KB
testcase_27 RE -
testcase_28 AC 74 ms
5,376 KB
testcase_29 AC 72 ms
5,376 KB
testcase_30 AC 74 ms
5,376 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>

//#define LOCAL_DEBUG 1

#define VARNAME(x) #x
#define show(x) cerr << #x << " = " << fixed << setprecision(30) << x << endl

using namespace std;
using ll = long long;
using ld = long double;

template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v)
{
    os << "sz:" << v.size() << "\n[";
    for (const auto& p : v) {
        os << p << ",";
    }
    os << "]\n";
    return os;
}

template <typename S, typename T>
ostream& operator<<(ostream& os, const pair<S, T>& p)
{
    os << "(" << p.first << "," << p.second
       << ")";
    return os;
}


constexpr ll MOD = (ll)1e9 + 7LL;
constexpr ld PI = static_cast<ld>(3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303);

template <typename T>
constexpr T INF = numeric_limits<T>::max() / 10;

struct Vec {
    Vec() : dx{0}, dy{0} {}
    Vec(const ld dx, const ld dy) : dx{dx}, dy{dy} {}
    ld dx;
    ld dy;
    Vec rotate(const ld theta) const
    {
        Vec ans;
        ans.dx = cosl(theta) * dx - sinl(theta) * dy;
        ans.dy = sinl(theta) * dx + cosl(theta) * dy;
        return ans;
    }
    Vec operator*(const ld x) const
    {
        Vec ans = *this;
        ans.dx *= x;
        ans.dy *= x;
        return ans;
    }
    ld norm() const
    {
        return hypotl(dx, dy);
    }
    void normalize()
    {
        const ld n = norm();
        dx /= n;
        dy /= n;
    }
};
ostream& operator<<(ostream& os, const Vec& v)
{
    os << "(" << v.dx << "," << v.dy << ")";
    return os;
}

ld power(const ld p, const int n)
{
    if (n < 0) {
        return power((ld)(1 / p), n);
    }
    if (n == 0) {
        return 1;
    }
    if (n % 2 == 1) {
        return power(p, n - 1) * p;
    } else {
        const ld pp = power(p, n / 2);
        return pp * pp;
    }
}

int main()
{
    int N;
    cin >> N;
    for (int q = 0; q < N; q++) {
        int T;
        cin >> T;
        long double p, omega, v, gx, gy;
        cin >> p >> omega >> v >> gx >> gy;
        const ld l = hypotl(omega, (ld)(1 + v));
        const ld theta = arg(complex<ld>{(ld)(1 + v) / l, omega / l});
        Vec g{gx - power(l, T) * cosl((ld)T * theta), gy - power(l, T) * sinl((ld)T * theta)};
        ld F = 0;
        for (int i = 0; i < T; i++) {
            if (l < 1) {
                F += power(l, 2 * T - 2 - 2 * i);
            } else {
                F += power(l, 2 * i);
            }
        }
        vector<Vec> u(T);
        ld sumation = 0;
#ifdef LOCAL_DEBUG
        ofstream fout("data.dat");
#endif
        if (g.norm() == 0) {
            for (int i = 0; i < T; i++) {
#ifdef LOCAL_DEBUG
                fout << fixed << setprecision(100) << (long double)0 << " " << (long double)0 << endl;
#else
                cout << fixed << setprecision(100) << (long double)0 << " " << (long double)0 << endl;
#endif
            }
        } else {
            if (omega == 0 and v == -1) {
                for (int i = 0; i < T; i++) {
                    if (i == 0) {
                        u[i] = Vec{gx, gy};
                        sumation = u[i].norm() * u[i].norm();
                    } else {
                        u[i] = Vec{};
                    }
#ifdef LOCAL_DEBUG
                    fout << fixed << setprecision(100) << (long double)u[i].dx << " " << (long double)u[i].dy << endl;
#else
                    cout << fixed << setprecision(100) << (long double)u[i].dx << " " << (long double)u[i].dy << endl;
#endif
                }
            } else {
                for (int i = 0; i < T; i++) {
                    const Vec v = g.rotate(theta * (ld)(i + 1 - T)) * (power(l, T - 1 - i) / F);
                    u[i] = v;
                    sumation += v.norm() * v.norm();
#ifdef LOCAL_DEBUG
                    fout << fixed << setprecision(100) << (long double)v.dx << " " << (long double)v.dy << endl;
#else
                    cout << fixed << setprecision(100) << (long double)v.dx << " " << (long double)v.dy << endl;
#endif
                }
            }
        }
//        assert(sumation < p);
        ld X = 1;
        ld Y = 0;
        for (int i = 0; i < T; i++) {
            ld x = X * ((ld)1 + v) - Y * omega + u[i].dx;
            ld y = Y * ((ld)1 + v) + X * omega + u[i].dy;
            X = x;
            Y = y;
        }
        assert(hypot(X - gx, Y - gy) <= 0.0001);

#ifdef LOCAL_DEBUG
        fout.close();
        vector<Vec> u_(T);
        ifstream fin("data.dat");
        ld sum = 0;
        for (int i = 0; i < T; i++) {
            ld x, y;
            fin >> x >> y;
            u_[i] = Vec{x, y};
            sum += u_[i].norm() * u_[i].norm();
        }
        ld xpos = 1;
        ld ypos = 0;
        for (int i = 0; i < T; i++) {
            ld x = xpos * ((ld)1 + v) - ypos * omega + u_[i].dx;
            ld y = ypos * ((ld)1 + v) + xpos * omega + u_[i].dy;
            xpos = x;
            ypos = y;
        }
        // cerr << "# actual goal#" << endl;
        // cerr << fixed << setprecision(30) << (long double)gx << " " << (long double)gy << endl;
        // cerr << "# result #" << endl;
        // cerr << fixed << setprecision(30) << (long double)xpos << " " << (long double)ypos << endl;
        const ld err = (long double)hypot(gx - xpos, gy - ypos);
        show(sum);
        show(err);
        assert(sum < p and err <= 0.0001);
#endif
    }
    return 0;
}
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