結果

問題 No.2808 Concentration
ユーザー tokusakurai
提出日時 2024-07-12 21:57:45
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 127 ms / 2,000 ms
コード長 15,110 bytes
コンパイル時間 2,056 ms
コンパイル使用メモリ 202,328 KB
最終ジャッジ日時 2025-02-22 03:59:58
ジャッジサーバーID
（参考情報） 		judge2 / 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

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プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
#define rep(i, n) for (int i = 0; i < (n); i++)
#define per(i, n) for (int i = (n) - 1; i >= 0; i--)
#define rep2(i, l, r) for (int i = (l); i < (r); i++)
#define per2(i, l, r) for (int i = (r) - 1; i >= (l); i--)
#define each(e, v) for (auto &e : v)
#define MM << " " <<
#define pb push_back
#define eb emplace_back
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define sz(x) (int)x.size()
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
template <typename T>
using minheap = priority_queue<T, vector<T>, greater<T>>;
template <typename T>
using maxheap = priority_queue<T>;
template <typename T>
bool chmax(T &x, const T &y) {
    return (x < y) ? (x = y, true) : false;
}
template <typename T>
bool chmin(T &x, const T &y) {
    return (x > y) ? (x = y, true) : false;
}
template <typename T>
int flg(T x, int i) {
    return (x >> i) & 1;
}
int pct(int x) { return __builtin_popcount(x); }
int pct(ll x) { return __builtin_popcountll(x); }
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int botbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int botbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
template <typename T>
void print(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' ');
    if (v.empty()) cout << '\n';
}
template <typename T>
void printn(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cout << v[i] + x << '\n';
}
template <typename T>
void err_print(const vector<T> &v, T x = 0) {
    int n = v.size();
    for (int i = 0; i < n; i++) cerr << v[i] + x << ' ';
    cerr << endl;
}
template <typename T>
int lb(const vector<T> &v, T x) {
    return lower_bound(begin(v), end(v), x) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, T x) {
    return upper_bound(begin(v), end(v), x) - begin(v);
}
template <typename T>
void rearrange(vector<T> &v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
}
template <typename T>
vector<int> id_sort(const vector<T> &v, bool greater = false) {
    int n = v.size();
    vector<int> ret(n);
    iota(begin(ret), end(ret), 0);
    sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; });
    return ret;
}
template <typename T>
void reorder(vector<T> &a, const vector<int> &ord) {
    int n = a.size();
    vector<T> b(n);
    for (int i = 0; i < n; i++) b[i] = a[ord[i]];
    swap(a, b);
}
template <typename T>
T floor(T x, T y) {
    assert(y != 0);
    if (y < 0) x = -x, y = -y;
    return (x >= 0 ? x / y : (x - y + 1) / y);
}
template <typename T>
T ceil(T x, T y) {
    assert(y != 0);
    if (y < 0) x = -x, y = -y;
    return (x >= 0 ? (x + y - 1) / y : x / y);
}
template <typename S, typename T>
pair<S, T> operator+(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first + q.first, p.second + q.second);
}
template <typename S, typename T>
pair<S, T> operator-(const pair<S, T> &p, const pair<S, T> &q) {
    return make_pair(p.first - q.first, p.second - q.second);
}
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &p) {
    S a;
    T b;
    is >> a >> b;
    p = make_pair(a, b);
    return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, const pair<S, T> &p) {
    return os << p.first << ' ' << p.second;
}
struct io_setup {
    io_setup() {
        ios_base::sync_with_stdio(false);
        cin.tie(NULL);
        cout << fixed << setprecision(15);
        cerr << fixed << setprecision(15);
    }
} io_setup;
constexpr int inf = (1 << 30) - 1;
constexpr ll INF = (1LL << 60) - 1;
// constexpr int MOD = 1000000007;
constexpr int MOD = 998244353;
template <typename Monoid>
struct Segment_Tree {
    using M = typename Monoid::V;
    int n, m;
    vector<M> seg;
    // f(f(a,b),c) = f(a,f(b,c)), f(e1,a) = f(a,e1) = a
    Segment_Tree(const vector<M> &v) : n(v.size()) {
        m = 1;
        while (m < n) m <<= 1;
        seg.assign(2 * m, Monoid::id);
        copy(begin(v), end(v), begin(seg) + m);
        build();
    }
    Segment_Tree(int n, M x = Monoid::id) : Segment_Tree(vector<M>(n, x)) {}
    void set(int i, const M &x) { seg[m + i] = x; }
    void build() {
        for (int i = m - 1; i > 0; i--) seg[i] = Monoid::merge(seg[2 * i], seg[2 * i + 1]);
    }
    void update(int i, const M &x, bool apply = false) {
        seg[i + m] = apply ? Monoid::merge(seg[i + m], x) : x;
        i += m;
        while (i >>= 1) seg[i] = Monoid::merge(seg[2 * i], seg[2 * i + 1]);
    }
    M query(int l, int r) const {
        l = max(l, 0), r = min(r, n);
        M L = Monoid::id, R = Monoid::id;
        l += m, r += m;
        while (l < r) {
            if (l & 1) L = Monoid::merge(L, seg[l++]);
            if (r & 1) R = Monoid::merge(seg[--r], R);
            l >>= 1, r >>= 1;
        }
        return Monoid::merge(L, R);
    }
    M operator[](int i) const { return seg[m + i]; }
    template <typename C>
    int find_subtree(int i, const C &check, M &x, int type) const {
        while (i < m) {
            M nxt = type ? Monoid::merge(seg[2 * i + type], x) : Monoid::merge(x, seg[2 * i + type]);
            if (check(nxt)) {
                i = 2 * i + type;
            } else {
                x = nxt;
                i = 2 * i + (type ^ 1);
            }
        }
        return i - m;
    }
    // check(区間 [l,r] での演算結果) を満たす最小の r (存在しなければ n)
    template <typename C>
    int find_first(int l, const C &check) const {
        M L = Monoid::id;
        int a = l + m, b = 2 * m;
        while (a < b) {
            if (a & 1) {
                M nxt = Monoid::merge(L, seg[a]);
                if (check(nxt)) return find_subtree(a, check, L, 0);
                L = nxt;
                a++;
            }
            a >>= 1, b >>= 1;
        }
        return n;
    }
    // check((区間 [l,r) での演算結果)) を満たす最大の l (存在しなければ -1)
    template <typename C>
    int find_last(int r, const C &check) const {
        M R = Monoid::id;
        int a = m, b = r + m;
        while (a < b) {
            if ((b & 1) || a == 1) {
                M nxt = Monoid::merge(seg[--b], R);
                if (check(nxt)) return find_subtree(b, check, R, 1);
                R = nxt;
            }
            a >>= 1, b >>= 1;
        }
        return -1;
    }
};
// sum
template <typename T>
struct Plus_Monoid {
    using V = T;
    static constexpr V merge(const V &a, const V &b) { return a + b; };
    static const V id;
};
template <typename T>
const T Plus_Monoid<T>::id = 0;
// prod
template <typename T>
struct Product_Monoid {
    using V = T;
    static constexpr V merge(const V &a, const V &b) { return a * b; };
    static const V id;
};
template <typename T>
const T Product_Monoid<T>::id = 1;
// min
template <typename T>
struct Min_Monoid {
    using V = T;
    static constexpr V merge(const V &a, const V &b) { return min(a, b); };
    static const V id;
};
template <typename T>
constexpr T Min_Monoid<T>::id = numeric_limits<T>::max() / 2;
// max
template <typename T>
struct Max_Monoid {
    using V = T;
    static constexpr V merge(V a, V b) { return max(a, b); };
    static const V id;
};
template <typename T>
constexpr T Max_Monoid<T>::id = -(numeric_limits<T>::max() / 2);
// 代入
template <typename T>
struct Update_Monoid {
    using V = T;
    static constexpr V merge(const V &a, const V &b) {
        if (a == id) return b;
        if (b == id) return a;
        return b;
    }
    static const V id;
};
template <typename T>
constexpr T Update_Monoid<T>::id = numeric_limits<T>::max();
// min count (T：最大値の型、S：個数の型)
template <typename T, typename S>
struct Min_Count_Monoid {
    using V = pair<T, S>;
    static constexpr V merge(const V &a, const V &b) {
        if (a.first < b.first) return a;
        if (a.first > b.first) return b;
        return V(a.first, a.second + b.second);
    }
    static const V id;
};
template <typename T, typename S>
constexpr pair<T, S> Min_Count_Monoid<T, S>::id = make_pair(numeric_limits<T>::max() / 2, 0);
// max count (T：最大値の型、S：個数の型)
template <typename T, typename S>
struct Max_Count_Monoid {
    using V = pair<T, S>;
    static constexpr V merge(const V &a, const V &b) {
        if (a.first > b.first) return a;
        if (a.first < b.first) return b;
        return V(a.first, a.second + b.second);
    }
    static const V id;
};
template <typename T, typename S>
constexpr pair<T, S> Max_Count_Monoid<T, S>::id = make_pair(-(numeric_limits<T>::max() / 2), 0);
// 一次関数 ax+b の合成 (左から順に作用)
template <typename T>
struct Affine_Monoid {
    using V = pair<T, T>;
    static constexpr V merge(const V &a, const V &b) { return V(a.first * b.first, a.second * b.first + b.second); };
    static const V id;
};
template <typename T>
const pair<T, T> Affine_Monoid<T>::id = make_pair(1, 0);
// モノイドの直積
template <typename Monoid_1, typename Monoid_2>
struct Cartesian_Product_Monoid {
    using V1 = typename Monoid_1::V;
    using V2 = typename Monoid_2::V;
    using V = pair<V1, V2>;
    static constexpr V merge(const V &a, const V &b) { return V(Monoid_1::merge(a.first, b.first), Monoid_2::merge(a.second, b.second)); }
    static const V id;
};
template <typename Monoid_1, typename Monoid_2>
const pair<typename Monoid_1::V, typename Monoid_2::V> Cartesian_Product_Monoid<Monoid_1, Monoid_2>::id = make_pair(Monoid_1::id, Monoid_2::id);
// 行列積 (l*r)
template <typename T, int n>
struct Matrix_Monoid {
    using V = array<array<T, n>, n>;
    static constexpr V I() {
        V ret;
        for (int i = 0; i < n; i++) fill(begin(ret[i]), end(ret[i]), T(0));
        for (int i = 0; i < n; i++) ret[i][i] = 1;
        return ret;
    }
    static constexpr V merge(V l, V r) {
        V ret;
        for (int i = 0; i < n; i++) fill(begin(ret[i]), end(ret[i]), T(0));
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                for (int k = 0; k < n; k++) ret[i][k] += l[i][j] * r[j][k];
            }
        }
        return ret;
    }
    static const V id;
};
template <typename T, int n>
const array<array<T, n>, n> Matrix_Monoid<T, n>::id = Matrix_Monoid<T, n>::I();
// 行列積 (r*l)
template <typename T, int n>
struct Matrix_Monoid_Rev {
    using V = array<array<T, n>, n>;
    static constexpr V I() {
        V ret;
        for (int i = 0; i < n; i++) fill(begin(ret[i]), end(ret[i]), T(0));
        for (int i = 0; i < n; i++) ret[i][i] = 1;
        return ret;
    }
    static constexpr V merge(V l, V r) {
        V ret;
        for (int i = 0; i < n; i++) fill(begin(ret[i]), end(ret[i]), T(0));
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                for (int k = 0; k < n; k++) ret[i][k] += r[i][j] * l[j][k];
            }
        }
        return ret;
    }
    static const V id;
};
template <typename T, int n>
const array<array<T, n>, n> Matrix_Monoid_Rev<T, n>::id = Matrix_Monoid_Rev<T, n>::I();
// range add range min
template <typename T>
struct Min_Plus_Acted_Monoid {
    using Monoid = Min_Monoid<T>;
    using Operator = Plus_Monoid<T>;
    using M = T;
    using O = T;
    static constexpr M merge(const M &a, const O &b) { return a + b; };
};
// range add range max
template <typename T>
struct Max_Plus_Acted_Monoid {
    using Monoid = Max_Monoid<T>;
    using Operator = Plus_Monoid<T>;
    using M = T;
    using O = T;
    static constexpr M merge(const M &a, const O &b) { return a + b; };
};
// range add range min count (T：最小値の型、S：個数の型)
template <typename T, typename S>
struct Min_Count_Add_Acted_Monoid {
    using Monoid = Min_Count_Monoid<T, S>;
    using Operator = Plus_Monoid<T>;
    using M = pair<T, S>;
    using O = T;
    static constexpr M merge(const M &a, const O &b) { return make_pair(a.first + b, a.second); };
};
// range add range max count (T：最大値の型、S：個数の型)
template <typename T, typename S>
struct Max_Count_Add_Acted_Monoid {
    using Monoid = Max_Count_Monoid<T, S>;
    using Operator = Plus_Monoid<T>;
    using M = pair<T, S>;
    using O = T;
    static constexpr M merge(const M &a, const O &b) { return make_pair(a.first + b, a.second); };
};
// range add range sum
template <typename T>
struct Plus_Plus_Acted_Monoid {
    using Monoid = Cartesian_Product_Monoid<Plus_Monoid<T>, Plus_Monoid<int>>;
    using Operator = Plus_Monoid<T>;
    using M = pair<T, int>;
    using O = T;
    static constexpr M merge(const M &a, const O &b) { return M(a.first + b * a.second, a.second); }
};
// range update range sum
template <typename T>
struct Plus_Update_Acted_Monoid {
    using Monoid = Cartesian_Product_Monoid<Plus_Monoid<T>, Plus_Monoid<int>>;
    using Operator = Update_Monoid<T>;
    using M = pair<T, int>;
    using O = T;
    static constexpr M merge(const M &a, const O &b) { return b == Operator::id ? a : M(b * a.second, a.second); }
};
// range update range min
template <typename T>
struct Min_Update_Acted_Monoid {
    using Monoid = Min_Monoid<T>;
    using Operator = Update_Monoid<T>;
    using M = T;
    using O = T;
    static constexpr M merge(const M &a, const O &b) { return b == Operator::id ? a : b; }
};
// range update range max
template <typename T>
struct Max_Update_Acted_Monoid {
    using Monoid = Max_Monoid<T>;
    using Operator = Update_Monoid<T>;
    using M = T;
    using O = T;
    static constexpr M merge(const M &a, const O &b) { return b == Operator::id ? a : b; }
};
// range affine range sum
template <typename T>
struct Plus_Affine_Acted_Monoid {
    using Monoid = Cartesian_Product_Monoid<Plus_Monoid<T>, Plus_Monoid<T>>;
    using Operator = Affine_Monoid<T>;
    using M = pair<T, T>;
    using O = pair<T, T>;
    static constexpr M merge(const M &a, const O &b) { return M(b.first * a.first + b.second * a.second, a.second); };
};
void solve() {
    ll N, S, H;
    cin >> N >> S >> H;
    vector<ll> x(N), y(N), z(N);
    rep(i, N) cin >> x[i] >> y[i] >> z[i];
    vector<ll> s(N + 1, 0);
    rep(i, N) s[i + 1] = s[i] + z[i];
    Segment_Tree<Max_Monoid<ll>> seg(N, -INF);
    seg.update(0, 0);
    vector<ll> dp(N, 0);
    ll ans = 0;
    rep(i, N) {
        seg.update(i, dp[i] - s[i]);
        int j = lb(x, y[i] - S);
        if (j <= i) {
            ll tmp = seg.query(j, i + 1) + s[i + 1];
            chmax(ans, tmp);
            int k = lb(x, y[i] + H);
            if (k < N) {
                chmax(dp[k], tmp); //
            }
        }
        if (i < N - 1) chmax(dp[i + 1], dp[i]);
    }
    cout << ans << '\n';
}
int main() {
    int T = 1;
    // cin >> T;
    while (T--) solve();
}
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