結果

問題 No.3303 Heal Slimes 2
コンテスト
ユーザー ooaiu
提出日時 2025-10-05 15:43:10
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,764 ms / 4,000 ms
コード長 8,013 bytes
コンパイル時間 3,279 ms
コンパイル使用メモリ 293,392 KB
実行使用メモリ 11,396 KB
最終ジャッジ日時 2025-10-21 10:23:54
合計ジャッジ時間 29,920 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
このコードへのチャレンジ
（要ログイン）
ファイルパターン 結果
other AC * 32
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>
using namespace std;
template <class F> class y_combinator {
    F f;

   public:
    y_combinator(F&& f) : f(std::forward<F>(f)) {}
    template <class... Args> auto operator()(Args&&... args) const { return f(*this, std::forward<Args>(args)...); }
};
using ll = long long;
using ld = long double;
using u64 = uint64_t;
using vi = vector<int>;
using vl = vector<ll>;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
template <class T, class U = std::less<T>> using prique = std::priority_queue<T, std::vector<T>, U>;
inline constexpr int popcnt(u64 x) noexcept { return __builtin_popcountll(x); }
inline ll floor_div(ll a, ll b) noexcept { return a / b - (a % b && (a ^ b) < 0); }
inline ll ceil_div(ll a, ll b) noexcept { return floor_div(a + b - 1, b); }
template <class T> bool chmin(T& x, const T& y) noexcept { return (x > y ? x = y, true : false); }
template <class T> bool chmax(T& x, const T& y) noexcept { return (x < y ? x = y, true : false); }
template <class T> void dedup(std::vector<T>& v) { std::sort(std::begin(v), std::end(v)), v.erase(std::unique(std::begin(v), std::end(v)), std::end(v)); }
template <class F> ll bisect(ll ok, ll ng, const F& f) {
    while (abs(ok - ng) > 1) {
        ll mid = (ok + ng) / 2;
        (f(mid) ? ok : ng) = mid;
    }
    return ok;
}
template <class F> ld bisect_real(ld ok, ld ng, const F& f, int iter = 80) {
    while (iter--) {
        ld mid = (ok + ng) / 2.;
        (f(mid) ? ok : ng) = mid;
    }
    return ok;
}
inline void SCAN() {}
template <class H, class... T> inline void SCAN(H& h, T&... t) { std::cin >> h, SCAN(t...); }
#define INT(...)     \
    int __VA_ARGS__; \
    SCAN(__VA_ARGS__)
#define LL(...)            \
    long long __VA_ARGS__; \
    SCAN(__VA_ARGS__)
#define LD(...)              \
    long double __VA_ARGS__; \
    SCAN(__VA_ARGS__)
#define STR(...)             \
    std::string __VA_ARGS__; \
    SCAN(__VA_ARGS__)
#define CHAR(...)     \
    char __VA_ARGS__; \
    SCAN(__VA_ARGS__)
#define VEC(type, name, size)     \
    std::vector<type> name(size); \
    for (int i = 0; i < (int)size; i++) SCAN(name[i]);
#define VV(type, name, h, w)                                      \
    std::vector<std::vector<type>> name(h, std::vector<type>(w)); \
    for (int i = 0; i < (int)h; i++)                              \
        for (int j = 0; j < (int)w; j++) SCAN(name[i][j]);
#define overload4(a, b, c, d, e, ...) e
#define rep1(a) for (long long _i = 0; _i < (a); _i++)
#define rep2(i, a) for (long long i = 0; i < (a); i++)
#define rep3(i, a, b) for (long long i = (a); i < (b); i++)
#define rep4(i, a, b, c) for (long long i = (a); i < (b); i += (c))
#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)
#define rrep(i, a, b, c) for (long long i = (a); i > (b); i += (c))
#define all(x) std::begin(x), std::end(x)
#define rall(x) std::rbegin(x), std::rend(x)
#define len(x) (long long)(size(x))
#define pb push_back
#ifndef LOCAL
#define debug(...)
#endif

#line 2 "dp/golden-section-search.hpp"

#include <cassert>
#include <functional>
#include <utility>
using namespace std;

namespace golden_section_search_impl {

using i64 = long long;

template <typename T, bool get_min = true>
pair<i64, T> golden_section_search(const function<T(i64)>& f, i64 min, i64 max) {
    assert(min <= max);
    i64 a = min - 1, x, b;
    {
        i64 s = 1, t = 2;
        while (t < max - min + 2) swap(s += t, t);
        x = a + t - s, b = a + t;
    }
    T fx = f(x), fy;
    while (a + b != 2 * x) {
        i64 y = a + b - x;
        if (max < y || (fy = f(y), get_min ? fx < fy : fx > fy)) {
            b = a;
            a = y;
        } else {
            a = x;
            x = y;
            fx = fy;
        }
    }
    return {x, fx};
}

}  // namespace golden_section_search_impl

using golden_section_search_impl::golden_section_search;

/*
  @brief 黄金分割探索
*/
#include <atcoder/segtree>
template <class T = long long>
class Compressor {
   private:
    std::vector<T> cc;
    bool sorted;

   public:
    Compressor() : sorted(false) {}
    Compressor(const std::vector<T>& a) {
        for (auto x : a) cc.push_back(x);
        build();
    }
    void add(const T& x) {
        cc.push_back(x);
        sorted = false;
    }
    T operator[](int i) const {
        assert(sorted);
        return cc[i];
    }
    int operator()(const T& x) const {
        assert(sorted);
        return lower_bound(begin(cc), end(cc), x) - begin(cc);
    }
    int size() const {
        assert(sorted);
        return cc.size();
    }
    void build() {
        sort(begin(cc), end(cc));
        cc.erase(unique(begin(cc), end(cc)), end(cc));
        sorted = true;
    }
    static std::vector<int> compressed(const std::vector<T>& a) {
        Compressor c(a);
        std::vector<int> res(a.size());
        for (int i = 0; i < (int)a.size(); i++) res[i] = c(a[i]);
        return res;
    }
};

template <class T>
class FixedSet {
   public:
    struct S {
        T sum;
        int count;
    };
    static S op(S a, S b) { return S{a.sum + b.sum, a.count + b.count}; }
    static S e() { return S{T{}, 0}; }
    using STree = atcoder::segtree<S, op, e>;
    STree d;
    Compressor<T> cc;
    size_t sz;
    int index(const T& x) {
        int p = cc(x);
        assert(0 <= p && p < cc.size() && cc[p] == x);
        return p;
    }

    FixedSet() {}
    FixedSet(const std::vector<T>& A) {
        cc = Compressor<T>(A);
        d = STree(cc.size());
        sz = 0;
    }
    void add(const T& x, int c = 1) {
        int p = index(x);
        S pv = d.get(p);
        sz -= pv.count;
        int cnt = std::max(0, pv.count + c);
        d.set(p, S{x * cnt, cnt});
        sz += cnt;
    }
    T top_k_sum(int k) {
        if (k == 0) return T{};
        assert(k <= (int)size());
        const auto f = [&](S x) { return x.count < k; };
        int l = d.min_left(cc.size(), f) - 1;
        S res = d.prod(l, cc.size());
        T sum = res.sum - cc[l] * (res.count - k);
        return sum;
    }
    T bottom_k_sum(int k) {
        if (k == 0) return T{};
        assert(k <= (int)size());
        const auto f = [&](S x) { return x.count < k; };
        int r = d.max_right(0, f);
        S res = d.prod(0, r);
        T sum = res.sum + cc[r] * (k - res.count);
        return sum;
    }
    T kth_smallest(int k) {
        assert(0 < k && k <= sz);
        const auto f = [&](S x) { return x.count < k; };
        int r = d.max_right(0, f);
        return cc[r];
    }
    T kth_largest(int k) {
        return kth_smallest(sz - k + 1);
    }
    size_t size() const { return sz; }
    bool empty() const { return size() == 0; }
    int count(const T& x) {
        int pos = index(x);
        return d.get(pos).count;
    }
    T sum() const { return d.all_prod().sum; }
};

void run_case() {
    LL(N, K, D);
    VEC(ll, H, N);
    vector<ll> A;
    rep(i, N) {
        A.pb(H[i]);
    }
    A.push_back(1e18);
    FixedSet<ll> ST(A);
    ll ans = 1e18;
    rep(i, N) {
        if (i < K - 1) {
            ST.add(H[i], 1);
        } else {
            ST.add(H[i], 1);

            auto check = [&](ll t) -> ll {
                ll sum = 0;
                {
                    int id = ST.cc(t);
                    auto S = ST.d.prod(0, id);
                    sum += t * S.count - ST.bottom_k_sum(S.count);
                }
                {
                    int id = ST.cc(t + D);
                    auto S = ST.d.prod(id, ST.cc.size());
                    sum += ST.top_k_sum(S.count) - (t + D) * S.count;
                }
                return sum;
            };
            auto res = golden_section_search<ll>(check, 0, 1e9);
            chmin(ans, res.second);
            ST.add(H[i - K + 1], -1);
        }
    }
    cout << ans << "\n";
}
int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);
    std::fixed(std::cout).precision(16);
    int T = 1;
    while (T--) run_case();
    return 0;
}
0