Submission #669675

#	Time	Username	Problem	Language	Result	Execution time	Memory
669675		Forested	Fuel Station (NOI20_fuelstation)	C++17	100 / 100	241 ms	50368 KiB

FuelStation

#ifndef LOCAL
#define FAST_IO
#endif

// ============
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define OVERRIDE(a, b, c, d, ...) d
#define REP2(i, n) for (i32 i = 0; i < (i32) (n); ++i)
#define REP3(i, m, n) for (i32 i = (i32) (m); i < (i32) (n); ++i)
#define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
#define PER(i, n) for (i32 i = (i32) (n) - 1; i >= 0; --i)
#define ALL(x) begin(x), end(x)

using namespace std;

using u32 = unsigned int;
using u64 = unsigned long long;
using u128 = __uint128_t;
using i32 = signed int;
using i64 = signed long long;
using i128 = __int128_t;
using f64 = double;
using f80 = long double;

template <typename T>
using Vec = vector<T>;

template <typename T>
bool chmin(T &x, const T &y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}
template <typename T>
bool chmax(T &x, const T &y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}

istream &operator>>(istream &is, i128 &x) {
    i64 v;
    is >> v;
    x = v;
    return is;
}
ostream &operator<<(ostream &os, i128 x) {
    os << (i64) x;
    return os;
}
istream &operator>>(istream &is, u128 &x) {
    u64 v;
    is >> v;
    x = v;
    return is;
}
ostream &operator<<(ostream &os, u128 x) {
    os << (u64) x;
    return os;
}

[[maybe_unused]] constexpr i32 INF = 1000000100;
[[maybe_unused]] constexpr i64 INF64 = 3000000000000000100;
struct SetUpIO {
    SetUpIO() {
#ifdef FAST_IO
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
#endif
        cout << fixed << setprecision(15);
    }
} set_up_io;
// ============

#ifdef DEBUGF
#else
#define DBG(x) (void) 0
#endif

// ============

#include <cassert>
#include <utility>
#include <vector>

// ============

#include <limits>
#include <utility>

template <typename T>
struct Add {
    using Value = T;
    static Value id() {
        return T(0);
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return lhs + rhs;
    }
    static Value inv(const Value &x) {
        return -x;
    }
};

template <typename T>
struct Mul {
    using Value = T;
    static Value id() {
        return Value(1);
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return lhs * rhs;
    }
    static Value inv(const Value &x) {
        return Value(1) / x;
    }
};

template <typename T>
struct Min {
    using Value = T;
    static Value id() {
        return std::numeric_limits<T>::max();
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return std::min(lhs, rhs);
    }
};

template <typename T>
struct Max {
    using Value = T;
    static Value id() {
        return std::numeric_limits<Value>::min();
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return std::max(lhs, rhs);
    }
};

template <typename T>
struct Xor {
    using Value = T;
    static Value id() {
        return T(0);
    }
    static Value op(const Value &lhs, const Value &rhs) {
        return lhs ^ rhs;
    }
    static Value inv(const Value &x) {
        return x;
    }
};

template <typename Monoid>
struct Reversible {
    using Value = std::pair<typename Monoid::Value, typename Monoid::Value>;
    static Value id() {
        return Value(Monoid::id(), Monoid::id());
    }
    static Value op(const Value &v1, const Value &v2) {
        return Value(
            Monoid::op(v1.first, v2.first),
            Monoid::op(v2.second, v1.second));
    }
};

// ============

template <typename Monoid>
class SegmentTree {
public:
    using Value = typename Monoid::Value;

private:
    int old_length;
    int length;
    std::vector<Value> node;

    static int ceil2(int n) {
        int l = 1;
        while (l < n) {
            l <<= 1;
        }
        return l;
    }

public:
    SegmentTree(int n) :
        old_length(n),
        length(ceil2(old_length)),
        node(length << 1, Monoid::id()) {
        assert(n >= 0);
    }

    SegmentTree(const std::vector<Value> &v) :
        old_length((int) v.size()),
        length(ceil2(old_length)),
        node(length << 1, Monoid::id()) {
        for (int i = 0; i < old_length; ++i) {
            node[i + length] = v[i];
        }
        for (int i = length - 1; i > 0; --i) {
            node[i] = Monoid::op(node[i << 1], node[i << 1 | 1]);
        }
    }

    template <typename F>
    SegmentTree(int n, const F &f) :
        old_length(n), length(ceil2(n)), node(length << 1, Monoid::id()) {
        assert(n >= 0);
        for (int i = 0; i < old_length; ++i) {
            node[i + length] = f(i);
        }
        for (int i = length - 1; i > 0; --i) {
            node[i] = Monoid::op(node[i << 1], node[i << 1 | 1]);
        }
    }

    const Value &operator[](int idx) const {
        assert(idx >= 0 && idx < old_length);
        return node[idx + length];
    }

    void update(int idx, Value val) {
        assert(idx >= 0 && idx < old_length);
        idx += length;
        node[idx] = std::move(val);
        while (idx != 1) {
            idx >>= 1;
            node[idx] = Monoid::op(node[idx << 1], node[idx << 1 | 1]);
        }
    }

    Value prod(int l, int r) const {
        assert(l >= 0 && l <= r && r <= old_length);
        Value prodl = Monoid::id();
        Value prodr = Monoid::id();
        l += length;
        r += length;
        while (l != r) {
            if (l & 1) {
                prodl = Monoid::op(prodl, node[l++]);
            }
            if (r & 1) {
                prodr = Monoid::op(node[--r], prodr);
            }
            l >>= 1;
            r >>= 1;
        }
        return Monoid::op(prodl, prodr);
    }
    
    Value all_prod() const {
        return node[1];
    }
};

// ============

struct Range {
    i64 l, r, a, b;
    Range() : l(-1), r(-1), a(-1), b(-1) {}
    Range(i64 l, i64 r, i64 a, i64 b) : l(l), r(r), a(a), b(b) {}
};

struct Ops {
    using Value = Range;
    static Value id() {
        return Value();
    }
    static Value op(Value x, Value y) {
        if (x.l == -1) {
            return y;
        }
        if (y.l == -1) {
            return x;
        }
        i64 yb = y.b + y.l - x.r;
        if (yb <= x.a) {
            return Range(x.l, y.r, y.a + x.a - yb, x.b);
        } else {
            return Range(x.l, y.r, y.a, x.b + yb - x.a);
        }
    }
};

int main() {
    i32 n;
    i64 d;
    cin >> n >> d;
    Vec<tuple<i64, i64, i64>> stas(n);
    for (auto &[x, a, b] : stas) {
        cin >> x >> a >> b;
    }
    sort(ALL(stas));
    Vec<i32> idx(n);
    iota(ALL(idx), 0);
    sort(ALL(idx), [&](i32 i, i32 j) -> bool {
        return get<2>(stas[i]) > get<2>(stas[j]);
    });
    SegmentTree<Ops> seg(n + 2);
    seg.update(0, Range(0, 0, 0, 0));
    seg.update(n + 1, Range(d, d, 0, 0));
    DBG(seg.all_prod().a);
    DBG(seg.all_prod().b);
    i64 ans = d;
    for (i32 i : idx) {
        auto [x, a, b] = stas[i];
        seg.update(i + 1, Range(x, x, a, 0));
        i64 f = seg.all_prod().b;
        if (f <= b) {
            chmin(ans, f);
        }
        DBG(seg.all_prod().a);
        DBG(seg.all_prod().b);
        DBG(i);
    }
    cout << ans << '\n';
}

• Subtask 1: 7 / 7
• Subtask 2: 13 / 13
• Subtask 3: 17 / 17
• Subtask 4: 12 / 12
• Subtask 5: 19 / 19
• Subtask 6: 11 / 11
• Subtask 7: 21 / 21