#551605 (C++17) No.1226 I hate Robot Arms

提出ソース
結果

問題	No.1226 I hate Robot Arms
ユーザー	Pachicobue
提出日時	2020-09-11 22:20:47
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	TLE
実行時間	-
コード長	13,958 bytes
コンパイル時間	2,604 ms
コンパイル使用メモリ	216,324 KB
実行使用メモリ	14,016 KB
最終ジャッジ日時	2024-06-10 10:21:34
合計ジャッジ時間	6,159 ms
ジャッジサーバーID （参考情報）	judge2 / judge3
このコードへのチャレンジ
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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	3 ms 13,884 KB
testcase_01	AC	6 ms 6,940 KB
testcase_02	TLE	-
testcase_03	--	-
testcase_04	--	-
testcase_05	--	-
testcase_06	--	-
testcase_07	--	-
testcase_08	--	-
testcase_09	--	-
testcase_10	--	-
testcase_11	--	-
testcase_12	--	-
testcase_13	--	-
testcase_14	--	-
testcase_15	--	-
testcase_16	--	-
testcase_17	--	-
testcase_18	--	-
testcase_19	--	-
testcase_20	--	-
testcase_21	--	-
testcase_22	--	-
testcase_23	--	-
testcase_24	--	-
testcase_25	--	-
testcase_26	--	-
testcase_27	--	-
testcase_28	--	-
testcase_29	--	-
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ソースコード

raw source code
#include <bits/stdc++.h>

using ll                            = long long;
using uint                          = unsigned int;
using ull                           = unsigned long long;
using ld                            = long double;
template<typename T> using max_heap = std::priority_queue<T>;
template<typename T> using min_heap = std::priority_queue<T, std::vector<T>, std::greater<T>>;
constexpr int popcount(const ull v) { return v ? __builtin_popcountll(v) : 0; }
constexpr int log2p1(const ull v) { return v ? 64 - __builtin_clzll(v) : 0; }
constexpr int lsbp1(const ull v) { return __builtin_ffsll(v); }
constexpr int clog(const ull v) { return v ? log2p1(v - 1) : 0; }
constexpr ull ceil2(const ull v) { return 1ULL << clog(v); }
constexpr ull floor2(const ull v) { return v ? (1ULL << (log2p1(v) - 1)) : 0ULL; }
constexpr bool btest(const ull mask, const int ind) { return (mask >> ind) & 1ULL; }
template<typename T> void bset(T& mask, const int ind) { mask |= ((T)1 << ind); }
template<typename T> void breset(T& mask, const int ind) { mask &= ~((T)1 << ind); }
template<typename T> void bflip(T& mask, const int ind) { mask ^= ((T)1 << ind); }
template<typename T> void bset(T& mask, const int ind, const bool b) { (b ? bset(mask, ind) : breset(mask, ind)); }
template<typename T> bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); }
template<typename T> bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); }
template<typename T> constexpr T inf_v      = std::numeric_limits<T>::max() / 4;
template<typename Real> constexpr Real pi_v = Real{3.141592653589793238462643383279502884};
template<typename T> constexpr T TEN(const int n) { return n == 0 ? T{1} : TEN<T>(n - 1) * T{10}; }
template<typename F> struct fix : F
{
    fix(F&& f) : F{std::forward<F>(f)} {}
    template<typename... Args> auto operator()(Args&&... args) const { return F::operator()(*this, std::forward<Args>(args)...); }
};
template<typename T, int n, int i = 0>
auto nd_array(int const (&szs)[n], const T x = T{})
{
    if constexpr (i == n) {
        return x;
    } else {
        return std::vector(szs[i], nd_array<T, n, i + 1>(szs, x));
    }
}
class printer
{
public:
    printer(std::ostream& os_ = std::cout) : os{os_} { os << std::fixed << std::setprecision(15); }
    template<typename T> int operator()(const T& v) { return os << v, 0; }
    template<typename T> int operator()(const std::vector<T>& vs)
    {
        for (int i = 0; i < (int)vs.size(); i++) { os << (i ? " " : ""), this->operator()(vs[i]); }
        return 0;
    }
    template<typename T> int operator()(const std::vector<std::vector<T>>& vss)
    {
        for (int i = 0; i < (int)vss.size(); i++) { os << (0 <= i or i + 1 < (int)vss.size() ? "\n" : ""), this->operator()(vss[i]); }
        return 0;
    }
    template<typename T, typename... Args> int operator()(const T& v, const Args&... args) { return this->operator()(v), os << ' ', this->operator()(args...), 0; }
    template<typename... Args> int ln(const Args&... args) { return this->operator()(args...), os << '\n', 0; }
    template<typename... Args> int el(const Args&... args) { return this->operator()(args...), os << std::endl, 0; }
    template<typename... Args> int fmt(const std::string& s, const Args&... args) { return rec(s, 0, args...); }

private:
    int rec(const std::string& s, int index) { return os << s.substr(index, s.size()), 0; }
    template<typename T, typename... Args> int rec(const std::string& s, int index, const T& v, const Args&... args) { return index == s.size() ? 0 : s[index] == '%' ? (this->operator()(v), rec(s, index + 1, args...)) : (os << s[index], rec(s, index + 1, v, args...)); }
    std::ostream& os;
};
printer out;
class scanner
{
public:
    scanner(std::istream& is_ = std::cin) : is{is_} { is.tie(nullptr), std::ios::sync_with_stdio(false); }
    template<typename T> T val()
    {
        T v;
        return is >> v, v;
    }
    template<typename T> T val(const T offset) { return val<T>() - offset; }
    template<typename T> std::vector<T> vec(const int n)
    {
        std::vector<T> vs(n);
        for (auto& v : vs) { v = val<T>(); }
        return vs;
    }
    template<typename T> std::vector<T> vec(const int n, const T offset)
    {
        std::vector<T> vs(n);
        for (auto& v : vs) { v = val<T>(offset); }
        return vs;
    }
    template<typename T> std::vector<std::vector<T>> vvec(const int n0, const int n1)
    {
        std::vector<std::vector<T>> vss(n0);
        for (auto& vs : vss) { vs = vec<T>(n1); }
        return vss;
    }
    template<typename T> std::vector<std::vector<T>> vvec(const int n0, const int n1, const T offset)
    {
        std::vector<std::vector<T>> vss(n0);
        for (auto& vs : vss) { vs = vec<T>(n1, offset); }
        return vss;
    }
    template<typename... Args> auto tup() { return std::tuple<std::decay_t<Args>...>{val<Args>()...}; }
    template<typename... Args> auto tup(const Args&... offsets) { return std::tuple<std::decay_t<Args>...>{val<Args>(offsets)...}; }

private:
    std::istream& is;
};
scanner in;
#    define SHOW(...) static_cast<void>(0)

template<typename T, typename F>
class dualseg
{
public:
    dualseg(const std::vector<T>& vs, F compose_, T id_) : sz{(int)vs.size()}, depth{(int)clog(sz)}, half{1 << depth}, ops(half << 1, id_), compose{compose_}, id{id_} { std::copy(vs.begin(), vs.end(), ops.begin() + half); }
    T get(const int a) const
    {
        assert(0 <= a and a < sz);
        T ans = id;
        for (int i = 0; i <= depth; i++) { ans = compose(ans, ops[(a + half) >> (depth - i)]); }
        return ans;
    }
    void set(int a, const T& f)
    {
        assert(0 <= a and a < sz);
        clean(a += half), clean(a + 1), ops[a] = f;
    }
    void act(int L, int R, const T& f)
    {
        assert(0 <= L and R <= sz);
        if (L >= R) { return; }
        clean(L += half), clean(R += half);
        for (; L < R; L >>= 1, R >>= 1) {
            if (L & 1) { update(L++, f); }
            if (R & 1) { update(--R, f); }
        }
    }
    friend std::ostream& operator<<(std::ostream& os, const dualseg& seg)
    {
        os << "[";
        for (int i = 0; i < seg.sz; i++) { os << seg.get(i) << (i + 1 == seg.sz ? "" : ","); }
        return (os << "]\n");
    }

private:
    void down(const int a) { update(a << 1, ops[a]), update(a << 1 | 1, ops[a]), ops[a] = id; }
    void clean(const int a)
    {
        const int b = (a / (a & -a)) >> 1;
        for (int i = 0; i < depth; i++) {
            const int v = a >> (depth - i);
            if (v > b) { break; }
            down(v);
        }
    }
    void update(const int a, const T& f) { ops[a] = compose(f, ops[a]); }
    const int sz, depth, half;
    std::vector<T> ops;
    F compose;
    T id;
};

template<typename T, typename Merge>
class segtree
{
public:
    segtree(const std::vector<T>& vs, const Merge merge_, const T e_) : size{(int)vs.size()}, half{(int)ceil2(size)}, vals(half << 1, e_), merge{merge_}, e{e_}
    {
        std::copy(vs.begin(), vs.end(), vals.begin() + half);
        for (int i = half - 1; i >= 1; i--) { up(i); }
    }
    T get(const int a) const { return assert(0 <= a and a < size), vals[a + half]; }
    void set(int a, const T& v)
    {
        assert(0 <= a and a < size);
        vals[a += half] = v;
        while (a >>= 1) { up(a); }
    }
    T fold(int l, int r) const
    {
        assert(0 <= l and l <= r and r <= size);
        T accl = e, accr = e;
        for (l += half, r += half; l < r; l >>= 1, r >>= 1) {
            if (l & 1) { accl = merge(accl, vals[l++]); }
            if (r & 1) { accr = merge(vals[--r], accr); }
        }
        return merge(accl, accr);
    }
    friend std::ostream& operator<<(std::ostream& os, const segtree& seg)
    {
        os << "[";
        for (int i = seg.half; i < seg.half + seg.size; i++) { os << seg.vals[i] << (i + 1 == seg.half + seg.size ? "" : ","); }
        return (os << "]\n");
    }

private:
    void up(const int i) { vals[i] = merge(vals[i << 1], vals[i << 1 | 1]); }
    const int size, half;
    std::vector<T> vals;
    const Merge merge;
    const T e;
};

const auto min_merge    = [](const auto& x1, const auto& x2) { return std::min(x1, x2); };
const auto max_merge    = [](const auto& x1, const auto& x2) { return std::max(x1, x2); };
const auto minmax_merge = [](const auto& x1, const auto& x2) { return std::decay_t<decltype(x1)>{std::min(x1.first, x2.first), std::max(x1.second, x2.second)}; };
const auto sum_merge    = [](const auto& x1, const auto& x2) { return x1 + x2; };
const auto affine_merge = [](const auto& x1, const auto& x2) { return std::decay_t<decltype(x1)>{x1.first * x2.first, x1.first * x2.second + x1.second}; };

const auto plus_comp   = [](const auto& f1, const auto& f2) { return f1 + f2; };
const auto mult_comp   = [](const auto& f1, const auto& f2) { return f1 * f2; };
const auto assign_comp = [](const auto f1, const auto f2) { return f1 == inf_v<std::decay_t<decltype(f1)>> ? f2 : f1; };
const auto affine_comp = [](const auto& f1, const auto& f2) { return std::decay_t<decltype(f1)>{f1.first * f2.first, f1.first * f2.second + f1.second}; };

const auto min_plus_apply      = [](const auto& f, const auto& x, const auto&) { return x + f; };
const auto max_plus_apply      = [](const auto& f, const auto& x, const auto&) { return x + f; };
const auto minmax_plus_apply   = [](const auto& f, const auto& x, const auto&) { return std::decay_t<decltype(x)>{x.first + f, x.second + f}; };
const auto minmax_mult_apply   = [](const auto& f, const auto& x, const auto&) { return f >= 0 ? std::decay<decltype(x)>{f * x.first, f * x.second} : std::decay_t<decltype(x)>{f * x.second, f * x.first}; };
const auto min_assign_apply    = [](const auto& f, const auto& x, const auto&) { return f == inf_v<std::decay_t<decltype(f)>> ? x : f; };
const auto max_assign_apply    = [](const auto& f, const auto& x, const auto&) { return f == inf_v<std::decay_t<decltype(f)>> ? x : f; };
const auto minmax_assign_apply = [](const auto& f, const auto& x, const auto&) { return f == inf_v<std::decay_t<decltype(f)>> ? x : std::decay_t<decltype(x)>{f, f}; };
const auto minmax_affine_apply = [](const auto& f, const auto x, const auto&) { return f.first >= 0 ? std::decay_t<decltype(x)>{x.first * f.first + f.second, x.second * f.first + f.second} : std::decay_t<decltype(x)>{x.second * f.first + f.second, x.first * f.first + f.second}; };
const auto sum_plus_apply      = [](const auto& f, const auto& x, const auto& l) { return x + f * l; };
const auto sum_mult_apply      = [](const auto& f, const auto& x, const auto&) { return x * f; };
const auto sum_assign_apply    = [](const auto& f, const auto& x, const auto& l) { return f == inf_v<std::decay_t<decltype(f)>> ? x : f * l; };
const auto sum_affine_apply    = [](const auto& f, const auto x, const auto& l) { return x * f.first + f.second * l; };

const auto reverse = [](const auto f) { return [f](const auto& x1, const auto& x2) { return f(x2, x1); }; };
int main()
{
    using M   = std::array<std::array<ld, 3>, 3>;
    auto comp = [&](const M& m1, const M& m2) {
        M ans;
        for (int i = 0; i < 3; i++) {
            for (int j = 0; j < 3; j++) {
                ld sum = 0;
                for (int k = 0; k < 3; k++) {
                    sum += m1[i][k] * m2[k][j];
                }
                ans[i][j] = sum;
            }
        }
        return ans;
    };
    const M ID{{{1, 0, 0}, {0, 1, 0}, {0, 0, 1}}};

    const auto [N, Q] = in.tup<int, int>();
    auto seg          = dualseg(std::vector<M>(N + 1, ID), comp, ID);
    auto angs         = segtree(std::vector<ld>(N + 1, 0), sum_merge, (ld)0);
    using pos         = std::pair<ld, ld>;
    auto get          = [&](const int i) -> pos {
        const M trans = seg.get(i);
        const ld x    = trans[0][0] * i + trans[0][2];
        const ld y    = trans[1][0] * i + trans[1][2];
        return {x, y};
    };
    std::vector<ld> lens(N, 1);

    auto dbg = [&]() {
        for (int i = 0; i <= N; i++) {
            const auto [x, y] = get(i);
            SHOW(i, x, y);
        }
    };

    for (int q = 0; q < Q; q++) {
        dbg();
        SHOW(seg);
        const int t = in.val<int>();
        if (t == 0) {
            auto [i, x]    = in.tup<int, ld>(1, 0);
            x              = x / 180 * pi_v<ld>;
            const ld delta = x - angs.get(i);
            angs.set(i, x);
            M trans             = ID;
            trans[0][0]         = std::cos(delta);
            trans[0][1]         = -std::sin(delta);
            trans[1][0]         = std::sin(delta);
            trans[1][1]         = std::cos(delta);
            const auto [xi, yi] = get(i);
            ld xc = xi, yc = yi;
            xc -= std::cos(delta) * xi - std::sin(delta) * yi;
            yc -= std::sin(delta) * xi + std::cos(delta) * yi;
            trans[0][2] = xc;
            trans[1][2] = yc;
            seg.act(i, N + 1, trans);
        } else if (t == 1) {
            const auto [i, x] = in.tup<int, ld>(1, 0);
            const ld delta    = x - lens[i];
            lens[i]           = x;
            M trans           = ID;
            const ld theta    = angs.fold(0, i + 1);
            const ld xc       = std::cos(theta) * delta;
            const ld yc       = std::sin(theta) * delta;
            trans[0][2]       = xc;
            trans[1][2]       = yc;
            seg.act(i + 1, N + 1, trans);
        } else {
            const auto i      = in.val<int>();
            const auto [x, y] = get(i);
            out.ln(x, y);
        }
    }
    return 0;
}
yukicoder

結果

テストケース

ソースコード
