結果

問題 No.2808 Concentration
ユーザー 👑 Nachia
提出日時 2024-07-12 21:31:02
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 191 ms / 2,000 ms
コード長 9,121 bytes
コンパイル時間 1,394 ms
コンパイル使用メモリ 118,368 KB
最終ジャッジ日時 2025-02-22 03:36:37
ジャッジサーバーID
（参考情報） 		judge3 / judge2
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ファイルパターン 結果
other AC * 57
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ソースコード

diff # 

#ifdef NACHIA
#define _GLIBCXX_DEBUG
#else
#define NDEBUG
#endif
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <utility>
#include <queue>
#include <array>
#include <cmath>
using i64 = long long;
using u64 = unsigned long long;
#define rep(i,n) for(int i=0; i<int(n); i++)
#define repr(i,n) for(int i=int(n)-1; i>=0; i--)
const i64 INF = 1001001001001001001;
const char* yn(bool x){ return x ? "Yes" : "No"; }
template<typename A> void chmin(A& l, const A& r){ if(r < l) l = r; }
template<typename A> void chmax(A& l, const A& r){ if(l < r) l = r; }
template<typename A> using nega_queue = std::priority_queue<A,std::vector<A>,std::greater<A>>;
template<class R> auto ComparingBy(R f){ return [g=std::move(f)](auto l, auto r) -> bool { return g(l) < g(r); }; }
#include <atcoder/modint>
using Modint = atcoder::static_modint<998244353>;

#include <iterator>
#include <functional>

template<class Elem> struct vec;

template<class Iter>
struct seq_view{
    using Ref = typename std::iterator_traits<Iter>::reference;
    using Elem = typename std::iterator_traits<Iter>::value_type;
    Iter a, b;
    Iter begin() const { return a; }
    Iter end() const { return b; }
    int size() const { return (int)(b-a); }
    seq_view(Iter first, Iter last) : a(first), b(last) {}
    seq_view sort() const { std::sort(a, b); return *this; }
    Ref& operator[](int x){ return *(a+x); }
    template<class F = std::less<Elem>, class ret = vec<int>> ret sorti(F f = F()) const {
        ret x(size()); for(int i=0; i<size(); i++) x[i] = i;
        x().sort([&](int l, int r){ return f(a[l],a[r]); });
        return x;
    }
    template<class ret = vec<Elem>> ret col() const { return ret(begin(), end()); }
    template<class F = std::equal_to<Elem>, class ret = vec<std::pair<Elem, int>>>
    ret rle(F eq = F()) const {
        auto x = ret();
        for(auto& a : (*this)){
            if(x.size() == 0 || !eq(x[x.size()-1].first, a)) x.emp(a, 1); else x[x.size()-1].second++;
        } return x;
    }
    template<class F> seq_view sort(F f) const { std::sort(a, b, f); return *this; }
    Iter uni() const { return std::unique(a, b); }
    Iter lb(const Elem& x) const { return std::lower_bound(a, b, x); }
    Iter ub(const Elem& x) const { return std::upper_bound(a, b, x); }
    int lbi(const Elem& x) const { return lb(x) - a; }
    int ubi(const Elem& x) const { return ub(x) - a; }
    seq_view bound(const Elem& l, const Elem& r) const { return { lb(l), lb(r) }; }
    template<class F> Iter lb(const Elem& x, F f) const { return std::lower_bound(a, b, x, f); }
    template<class F> Iter ub(const Elem& x, F f) const { return std::upper_bound(a, b, x, f); }
    template<class F> Iter when_true_to_false(F f) const {
        if(a == b) return a;
        return std::lower_bound(a, b, *a,
            [&](const Elem& x, const Elem&){ return f(x); });
    }
    seq_view same(Elem x) const { return { lb(x), ub(x) }; }
    template<class F> auto map(F f) const {
        vec<typename Iter::value_type> r;
        for(auto& x : *this) r.emp(f(x));
        return r;
    }
    Iter max() const { return std::max_element(a, b); }
    Iter min() const { return std::min_element(a, b); }
    template<class F = std::less<Elem>>
    Iter min(F f) const { return std::min_element(a, b, f); }
    seq_view rev() const { std::reverse(a, b); return *this; }
};

template<class Elem>
struct vec {
    using Base = typename std::vector<Elem>;
    using Iter = typename Base::iterator;
    using CIter = typename Base::const_iterator;
    using View = seq_view<Iter>;
    using CView = seq_view<CIter>;

    vec(){}
    explicit vec(int n, const Elem& value = Elem()) : a(0<n?n:0, value) {}
    template <class I2> vec(I2 first, I2 last) : a(first, last) {}
    vec(std::initializer_list<Elem> il) : a(std::move(il)) {}
    vec(Base b) : a(std::move(b)) {}
    operator Base() const { return a; }

    Iter begin(){ return a.begin(); }
    CIter begin() const { return a.begin(); }
    Iter end(){ return a.end(); }
    CIter end() const { return a.end(); }
    int size() const { return a.size(); }
    bool empty() const { return a.empty(); }
    Elem& back(){ return a.back(); }
    const Elem& back() const { return a.back(); }
    vec sortunied(){ vec x = *this; x().sort(); x.a.erase(x().uni(), x.end()); return x; }
    Iter operator()(int x){ return a.begin() + x; }
    CIter operator()(int x) const { return a.begin() + x; }
    View operator()(int l, int r){ return { (*this)(l), (*this)(r) }; }
    CView operator()(int l, int r) const { return { (*this)(l), (*this)(r) }; }
    View operator()(){ return (*this)(0,size()); }
    CView operator()() const { return (*this)(0,size()); }
    Elem& operator[](int x){ return a[x]; }
    const Elem& operator[](int x) const { return a[x]; }
    Base& operator*(){ return a; }
    const Base& operator*() const { return a; }
    vec& push(Elem args){
        a.push_back(std::move(args));
        return *this;
    }
    template<class... Args>
    vec& emp(Args &&... args){
        a.emplace_back(std::forward<Args>(args) ...);
        return *this;
    }
    template<class Range>
    vec& app(Range& x){ for(auto& v : a) emp(v); }
    Elem pop(){
        Elem x = std::move(a.back());
        a.pop_back(); return x;
    }
    bool operator==(const vec& r) const { return a == r.a; }
    bool operator!=(const vec& r) const { return a != r.a; }
    bool operator<(const vec& r) const { return a < r.a; }
    bool operator<=(const vec& r) const { return a <= r.a; }
    bool operator>(const vec& r) const { return a > r.a; }
    bool operator>=(const vec& r) const { return a >= r.a; }
    vec<vec<Elem>> pile(int n) const { return vec<vec<Elem>>(n, *this); }
    template<class F> vec& filter(F f){
        int p = 0;
        for(int q=0; q<size(); q++) if(f(a[q])) std::swap(a[p++],a[q]);
        a.resize(p); return *this;
    }
private: Base a;
};

template<class IStr, class U, class T>
IStr& operator>>(IStr& is, vec<std::pair<U,T>>& v){ for(auto& x:v){ is >> x.first >> x.second; } return is; }
template<class IStr, class T>
IStr& operator>>(IStr& is, vec<T>& v){ for(auto& x:v){ is >> x; } return is; }
template<class OStr, class T>
OStr& operator<<(OStr& os, const vec<T>& v){
    for(int i=0; i<v.size(); i++){
        if(i){ os << ' '; } os << v[i];
    } return os;
}
template<class OStr, class U, class T>
OStr& operator<<(OStr& os, const vec<std::pair<U,T>>& v){
    for(int i=0; i<v.size(); i++){
        if(i){ os << ' '; } os << '(' << v[i].first << ',' << v[i].second << ')';
    } return os;
}

namespace nachia{

template<
    class F,
    F composition(F f, F x)
>
struct DualSegtree {

    struct Node { F f; bool propagated; };
    int N;
    int logN;
    std::vector<Node> A;

    void mapf(Node& a, F f) {
        a.propagated = false;
        a.f = composition(f, a.f);
    }
    void spread(int i) {
        if(A[i].propagated || !(i < N)) return;
        mapf(A[i*2], A[i].f);
        mapf(A[i*2+1], A[i].f);
        A[i] = A[0];
    }

    DualSegtree(int n, F id) {
        N=1; logN=0;
        while(N<n){ N *= 2; logN++; }
        A.assign(N*2, { id, true });
    }
    DualSegtree(const std::vector<F>& a, F id) : DualSegtree(a.size(), id) {
        for(int i=0; i<a.size(); i++){ A[i+N].f = a[i]; A[i+N].propagated = false; }
    }

    void clear(int p) {
        p += N;
        for(int d=logN; d; d--) spread(p >> d);
        A[p] = A[0];
    }
    F get(int p){
        p += N;
        for(int d=logN; d; d--) spread(p >> d);
        return A[p].f;
    }
    void apply(int l, int r, F f){
        if(!(l < r)) return;
        if(l == 0 && r == N){ mapf(A[1], f); return; }
        l += N; r += N;
        for(int d=logN; d; d--){
            if((l >> d) << d != l) spread(l >> d);
            if((r >> d) << d != r) spread(r >> d);
        }
        while(l < r){
            if(l&1){ mapf(A[l++], f); } l /= 2;
            if(r&1){ mapf(A[--r], f); } r /= 2;
        }
    }
    void apply(int p, F f){
        p += N;
        for(int d=logN; d; d--) spread(p >> d);
        mapf(A[p], f);
    }
};

} // namespace nachia;
using namespace std;

i64 minint(i64 a, i64 b){ return min(a,b); }
i64 maxint(i64 a, i64 b){ return max(a,b); }

void testcase(){
    i64 N, S, H; cin >> N >> S >> H;
    vec<i64> X(N), Y(N), Z(N);
    rep(i,N) cin >> X[i] >> Y[i] >> Z[i];
    vector<i64> Zsum(N+1); rep(i,N) Zsum[i+1] = Zsum[i] + Z[i];
    auto Ds0 = nachia::DualSegtree<i64, maxint>(N+1, 0);
    auto Ds1 = nachia::DualSegtree<i64, minint>(N+1, INF);
    rep(i,N+1) Ds1.apply(i, Zsum[i]);
    rep(s,N){
        if(s != 0){
            i64 q = Zsum[s] - Ds1.get(s);
            int h = X().lbi(Y[s-1] + H);
            Ds0.apply(h, N+1, q);
        }
        {
            i64 q = Zsum[s] - Ds0.get(s);
            int h = Y().ubi(X[s] + S);
            Ds1.apply(s, h+1, q);
        }
    }
    i64 ans = 0;
    chmax(ans, Ds0.get(N));
    chmax(ans, Zsum[N] - Ds1.get(N));
    cout << ans << endl;
}

int main(){
    ios::sync_with_stdio(false); cin.tie(nullptr);
    testcase();
    return 0;
}
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