#552100 (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	haruki_K
提出日時	2020-09-12 00:53:43
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	318 ms / 2,000 ms
コード長	12,590 bytes
コンパイル時間	3,253 ms
コンパイル使用メモリ	211,872 KB
実行使用メモリ	13,960 KB
最終ジャッジ日時	2023-08-30 11:23:14
合計ジャッジ時間	15,209 ms
ジャッジサーバーID （参考情報）	judge15 / judge12

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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 4,380 KB
testcase_01	AC	2 ms 4,380 KB
testcase_02	AC	73 ms 4,504 KB
testcase_03	AC	91 ms 5,828 KB
testcase_04	AC	107 ms 11,020 KB
testcase_05	AC	94 ms 13,128 KB
testcase_06	AC	248 ms 12,472 KB
testcase_07	AC	67 ms 5,016 KB
testcase_08	AC	27 ms 11,268 KB
testcase_09	AC	159 ms 5,532 KB
testcase_10	AC	19 ms 4,516 KB
testcase_11	AC	116 ms 10,788 KB
testcase_12	AC	62 ms 7,388 KB
testcase_13	AC	48 ms 13,236 KB
testcase_14	AC	187 ms 5,820 KB
testcase_15	AC	18 ms 12,212 KB
testcase_16	AC	238 ms 13,332 KB
testcase_17	AC	65 ms 6,572 KB
testcase_18	AC	42 ms 6,832 KB
testcase_19	AC	122 ms 11,740 KB
testcase_20	AC	108 ms 10,964 KB
testcase_21	AC	144 ms 10,368 KB
testcase_22	AC	244 ms 13,708 KB
testcase_23	AC	243 ms 13,960 KB
testcase_24	AC	253 ms 13,540 KB
testcase_25	AC	249 ms 13,564 KB
testcase_26	AC	251 ms 13,564 KB
testcase_27	AC	311 ms 13,604 KB
testcase_28	AC	305 ms 13,560 KB
testcase_29	AC	318 ms 13,564 KB

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ソースコード

raw source code

// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
#define int ll
#define double ld
#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define rep1(i,n) for (int i = 1; i <= (int)(n); i++)
#define repR(i,n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i,n) for (int i = (int)(n); i >= 1; i--)
#define loop(i,a,B) for (int i = a; i B; i++)
#define loopR(i,a,B) for (int i = a; i B; i--)
#define all(x) begin(x), end(x)
#define allR(x) rbegin(x), rend(x)
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define fst first
#define snd second
template <class Int> auto constexpr inf = numeric_limits<Int>::max()/2-1;
auto constexpr INF32 = inf<int32_t>;
auto constexpr INF64 = inf<int64_t>;
auto constexpr INF   = inf<int>;
#ifdef LOCAL
#include "debug.hpp"
#else
#define dump(...) (void)(0)
#define say(x) (void)(0)
#define debug if (0)
#endif
template <class T> using pque_max = priority_queue<T>;
template <class T> using pque_min = priority_queue<T, vector<T>, greater<T> >;
template <class T, class = typename T::iterator, class = typename enable_if<!is_same<T, string>::value>::type>
ostream& operator<<(ostream& os, T const& v) { bool f = true; for (auto const& x : v) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = typename T::iterator, class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &v) { for (auto& x : v) is >> x; return is; }
template <class T, class S> ostream& operator<<(ostream& os, pair<T,S> const& p) { return os << "(" << p.first << ", " << p.second << ")"; }
template <class T, class S> istream& operator>>(istream& is, pair<T,S>& p) { return is >> p.first >> p.second; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
    constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
    template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint {
    template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); }
};
#define MFP MakeFixPoint()|
#define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
    using type = vector<typename vec_impl<T,d-1>::type>;
    template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T,d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T,0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T,d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T,d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << endl; exit(0); }
template <class T, class U> constexpr bool chmin(T& x, U const& y) { if (x > y) { x = y; return true; } return false; }
template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < y) { x = y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) {
    using S = typename iterator_traits<It>::value_type;
    using T = conditional_t<is_signed_v<S>,i64,u64>;
    return accumulate(b,e,T{});
}
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) {
    return lower_bound(v.begin(), v.end(), x)-v.begin();
}
template <class C, class T> int ubd(C const& v, T const& x) {
    return upper_bound(v.begin(), v.end(), x)-v.begin();
}
const int dx[] = { 1,0,-1,0 };
const int dy[] = { 0,1,0,-1 };
constexpr int popcnt(ll x) { return __builtin_popcountll(x); }
template <class Int> Int rand(Int a, Int b) { // [a,b]
    static mt19937_64 mt{random_device{}()};
    return uniform_int_distribution<Int>(a,b)(mt);
}
i64 irand(i64 a, i64 b) { return rand<i64>(a,b); }
u64 urand(u64 a, u64 b) { return rand<u64>(a,b); }
// <<<
using Real = double;
constexpr Real eps = 1e-10;
constexpr Real pi = acos(-1.0L);
constexpr Real to_rad(int deg) { return Real(deg) * pi / 180; }
constexpr Real to_deg(Real rad) { return rad * 180 / pi; }
template <class T> constexpr T sq(T const& x) { return x*x; }
constexpr int sgn(Real x) { return x > eps ? 1 : x < -eps ? -1 : 0; }
constexpr int sgn(int x) { return x > 0 ? 1 : x < 0 ? -1 : 0; }

// >>> Point

template <class T> struct Point {
    T x,y;
    constexpr Point(T x = 0, T y = 0) : x(x), y(y) {}
    constexpr pair<T,T> to_pair() const { return {x,y}; }
    constexpr Point inv() const { return {x/norm(),-y/norm()}; }
    constexpr Point conj() const { return {x,-y}; }
    constexpr T norm() const { return x*x + y*y; }
    constexpr Point rot90(int n = 1) const {
        n %= 4; if (n < 0) n += 4;
        if (n == 1) return *this * Point(0,1);
        if (n == 2) return *this * (-1);
        if (n == 3) return *this * Point(0,-1);
        return *this;
    }
    constexpr Point operator+() const { return *this; }
    constexpr Point operator-() const { return {-x,-y}; }
    constexpr Point operator+(Point const& p) const { return {x+p.x, y+p.y}; }
    constexpr Point operator-(Point const& p) const { return {x-p.x, y-p.y}; }
    constexpr Point operator*(Point const& p) const { return {x*p.x-y*p.y, x*p.y+y*p.x}; }
    constexpr Point operator/(Point const& p) const { return *this * p.inv(); }
    constexpr Point& operator+=(Point const& p) { return *this = *this + p; }
    constexpr Point& operator-=(Point const& p) { return *this = *this - p; }
    constexpr Point& operator*=(Point const& p) { return *this = *this * p; }
    constexpr Point& operator/=(Point const& p) { return *this = *this / p; }
    constexpr friend Point operator*(T const& a, Point const& p) { return Point(a)*p; }
    constexpr friend Point operator/(T const& a, Point const& p) { return Point(a)/p; }
    constexpr T dot(Point const& q) const { return x*q.x + y*q.y; }
    constexpr T cross(Point const& q) const { return x*q.y - y*q.x; }
    constexpr T dot(Point const& p, Point const& q) const { return dot(p-*this,q-*this); }
    constexpr T cross(Point const& p, Point const& q) const { return cross(p-*this,q-*this); }
    constexpr bool operator==(Point const& q) const { return sgn(x-q.x) == 0 && sgn(y-q.y) == 0; }
    constexpr bool operator!=(Point const& q) const { return !operator==(q); }

    constexpr friend Point conj(Point const& p) { return p.conj(); }
    constexpr friend T norm(Point const& p) { return p.x*p.x + p.y*p.y; }
    constexpr friend T dot(Point const& p, Point const& q) { return p.dot(q); }
    constexpr friend T cross(Point const& p, Point const& q) { return p.cross(q); }
#ifdef LOCAL
    friend string to_s(Point const& p) { return to_s(p.to_pair()); }
#endif
    friend istream& operator>>(istream& is, Point& p) { return is >> p.x >> p.y; }
};

// <<<
template <class T>
constexpr Real abs(Point<T> const& p) { return sqrt((Real)p.norm()); }
constexpr Point<Real> normalize(Point<Real> const& p) { return p/abs(p); }

using P = Point<Real>;

// >>> lazy segment tree
template <class Handler>
struct LazySegtree : Handler {
    static int32_t btmbit(int64_t x) { return x ? __builtin_ctzll(x) : -1; }
//    static int32_t btmbit(int32_t x) { return x ? __builtin_ctz(x) : -1; }

    using Value = typename Handler::Value;
    using Lazy = typename Handler::Lazy;
    using Handler::unit_value; // () -> Value
    using Handler::unit_action; // () -> Lazy
    using Handler::merge; // (Value,Value) -> Value
    using Handler::act; // (Lazy,Lazy&,Value&) -> void

    vector<Value> v;
    vector<Lazy> lz;
    int n;
    mutable Lazy tmp;

    LazySegtree() {}
    template <class... T> LazySegtree(T&&... x) { init(forward<T>(x)...); }

    template <class F, class = decltype(declval<F>()(0))>
    void init(int n, F gen)  {
        assert(n >= 0); this->n = n;
        v.resize(2*n); lz.assign(n, unit_action());
        for (int i = 0; i < n; i++) v[n+i] = gen(i);
        for (int i = n-1; i >= 1; i--) v[i] = merge(v[2*i],v[2*i+1]);
    }
    void init(int n) { init(n, [&](int) { return unit_value(); }); }
    void init(int n, Value const& x) { init(n, [&](int) { return x; }); }
    void init(vector<Value> const& v) { init(v.size(), [&](int i) { return v[i]; }); }
    int size() const { return n; }


    void act(Lazy const& x, int i) { act(x, (i < n ? lz[i] : tmp), v[i]); }
    void flush(int k) {
        if (n <= k || lz[k] == unit_action()) return;
        act(lz[k], 2*k);
        act(lz[k], 2*k+1);
        lz[k] = unit_action();
    }
    void flush(int l, int r) {
        for (int p = __lg(l += n), q = __lg(r += n-1); q; --p,--q) {
            flush(l >> p); flush(r >> q);
        }
    }
    void build(int i) {
        i += n; i >>= btmbit(i);
        while (i >>= 1) v[i] = merge(v[2*i],v[2*i+1]);
    }
    Value get(int l, int r) {
        assert(0 <= l); assert(l <= r); assert(r <= n);
        flush(l,r);
        Value x = unit_value(), y = unit_value();
        for (l += n, r += n; l < r; l >>= 1, r >>= 1) {
            if (l&1) x = merge(x,v[l++]);
            if (r&1) y = merge(v[--r],y);
        }
        return merge(x,y);
    }
    void apply(int l, int r, Lazy const& x) {
        assert(0 <= l); assert(l <= r); assert(r <= n);
        flush(l,r);
        for (int a = l+n, b = r+n; a < b; a >>= 1, b >>= 1) {
            if (a&1) act(x, a++);
            if (b&1) act(x, --b);
        }
        build(l); build(r);
    }
    Value operator[](int i) const { return get(i); }
    Value get(int i) const {
        assert(0 <= i); assert(i < n);
        Value x = v[i += n];
        while (i >>= 1) act(lz[i], tmp, x);
        return x;
    }
    void set(int i, Value const& x) {
        assert(0 <= i); assert(i < n);
        for (int p = __lg(i += n); p; --p) flush(i >> p);
        for (v[i] = x; i >>= 1; ) v[i] = merge(v[2*i],v[2*i+1]);
    }
    vector<Value> dat() const {
        vector<Value> ret(size());
        for (int i = 0; i < size(); i++) ret[i] = get(i);
        return ret;
    }
};
// <<<

struct H {
    using Value = P;
    using Lazy = P;
    constexpr static Value unit_value() { return 0; }
    constexpr static Lazy unit_action() { return 1; }
    constexpr static Value merge(Value const& x, Value const& y) { return x+y; }
    static void act(Lazy x, Lazy &y, Value &z) {
        y *= x, z *= x;
    }
};
// >>> BIT

struct BIT {
    int n;
    vector<int> v; // use v[1..n]
    BIT(int n = 0) : n(n), v(n+1) {}
    int size() const { return n; }
    int get(int i) const { return sum(i+1)-sum(i); }
    void set(int i, int x) { add(i,x-get(i)); }
    void add(int i, int x) {
        assert(0 <= i); assert(i < n);
        for (i++; i <= n; i += i&(-i)) v[i] += x;
    }
    int sum(int r) const { // [0,r)
        assert(0 <= r); assert(r <= n);
        int s = 0;
        for (int i = r; i > 0; i -= i&(-i)) s += v[i];
        return s;
    }
    int sum(int l, int r) const { // [l,r)
        return sum(r)-sum(l);
    }
    // lower_bound({sum(0),sum(1),...,sum(n)}, x)
    int lower_bound(int x) const {
        if (x <= 0) return 0;
        int s = 0, i = 0, w = 1;
        while (2*w <= n) w *= 2;
        for ( ; w; w >>= 1) {
            if (i+w <= n && s+v[i+w] < x) {
                s += v[i+w];
                i += w;
            }
        }
        return i+1;
    }
    int upper_bound(int x) const {
        int s = 0, i = 0, w = 1;
        while (2*w <= n) w *= 2;
        for ( ; w; w >>= 1) {
            if (i+w <= n && s+v[i+w] <= x) {
                s += v[i+w];
                i += w;
            }
        }
        return i+1;
    }
};

// <<<
ll mod(ll x, ll m) { return (x %= m) < 0 ? x+m : x; }

int32_t main() {
    int n,q; cin >> n >> q;

    vector<P> tab(360);
    rep (i,360) tab[i] = {cosl(to_rad(i)),sinl(to_rad(i))};

    BIT theta(n);
    LazySegtree<H> seg(n,1);

    rep (_,q) {
        int t,i; cin >> t >> i; --i;
        if (t == 0) {
            int x; cin >> x;
            int old = theta.get(i);
            theta.set(i,x);
            seg.apply(i,n,tab[mod(x-old,360)]);
        }
        if (t == 1) {
            int x; cin >> x;
            int angle = theta.sum(i+1);
            seg.set(i,tab[mod(angle,360)]*x);
        }
        if (t == 2) {
            auto [x,y] = seg.get(0,i+1);
            cout << x << " " << y << "\n";
        }
    }
}

yukicoder

結果

テストケース

ソースコード