#898271 (C++17) No.2404 Vertical Throw Up

• 問題: No.2404 Vertical Throw Up
• ユーザー: rniya
• 提出日時: 2023-08-04 21:45:44
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 30 ms / 2,000 ms
• コード長: 3,000 bytes
• コンパイル時間: 2,205 ms
• コンパイル使用メモリ: 198,936 KB
• 実行使用メモリ: 5,376 KB
• 最終ジャッジ日時: 2024-04-22 20:06:12
• 合計ジャッジ時間: 3,636 ms
• ジャッジサーバーID （参考情報）: judge5 / judge2

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 5,248 KB
testcase_01	AC	2 ms; 5,376 KB
testcase_02	AC	2 ms; 5,376 KB
testcase_03	AC	24 ms; 5,376 KB
testcase_04	AC	20 ms; 5,376 KB
testcase_05	AC	30 ms; 5,376 KB
testcase_06	AC	2 ms; 5,376 KB
testcase_07	AC	30 ms; 5,376 KB
testcase_08	AC	24 ms; 5,376 KB
testcase_09	AC	20 ms; 5,376 KB
testcase_10	AC	7 ms; 5,376 KB
testcase_11	AC	7 ms; 5,376 KB
testcase_12	AC	5 ms; 5,376 KB
testcase_13	AC	2 ms; 5,376 KB
testcase_14	AC	2 ms; 5,376 KB
testcase_15	AC	2 ms; 5,376 KB
testcase_16	AC	2 ms; 5,376 KB
testcase_17	AC	2 ms; 5,376 KB
testcase_18	AC	2 ms; 5,376 KB
testcase_19	AC	2 ms; 5,376 KB
testcase_20	AC	3 ms; 5,376 KB
testcase_21	AC	2 ms; 5,376 KB
testcase_22	AC	2 ms; 5,376 KB
testcase_23	AC	2 ms; 5,376 KB
testcase_24	AC	2 ms; 5,376 KB
testcase_25	AC	2 ms; 5,376 KB
testcase_26	AC	2 ms; 5,376 KB
testcase_27	AC	2 ms; 5,376 KB
testcase_28	AC	2 ms; 5,376 KB
testcase_29	AC	2 ms; 5,376 KB
testcase_30	AC	2 ms; 5,376 KB
testcase_31	AC	2 ms; 5,376 KB
testcase_32	AC	2 ms; 5,376 KB

ソースコード

#include <bits/stdc++.h>
#ifdef LOCAL
#include <debug.hpp>
#else
#define debug(...) void(0)
#endif

struct Line {
    mutable long long k, m, p;
    bool operator<(const Line& o) const { return k < o.k; }
    bool operator<(long long x) const { return p < x; }
};

template <bool isMin = true> struct LineContainer : std::multiset<Line, std::less<>> {
    // (for doubles, use inf = 1/.0, div(a,b) = a/b)
    const long long inf = LLONG_MAX / 2;
    long long div(long long a, long long b) {  // floored division
        return a / b - ((a ^ b) < 0 && a % b);
    }
    bool isect(iterator x, iterator y) {
        if (y == end()) {
            x->p = inf;
            return false;
        }
        if (x->k == y->k)
            x->p = x->m > y->m ? inf : -inf;
        else
            x->p = div(y->m - x->m, x->k - y->k);
        return x->p >= y->p;
    }
    void add(long long k, long long m) {
        if (isMin) k = -k, m = -m;
        auto z = insert({k, m, 0}), y = z++, x = y;
        while (isect(y, z)) z = erase(z);
        if (x != begin() && isect(--x, y)) isect(x, y = erase(y));
        while ((y = x) != begin() && (--x)->p >= y->p) isect(x, erase(y));
    }
    long long query(long long x) {
        assert(!empty());
        auto l = *lower_bound(x);
        long long s = 1;
        if (isMin) s = -1;
        return s * (l.k * x + l.m);
    }
};

using namespace std;

typedef long long ll;
#define all(x) begin(x), end(x)
constexpr int INF = (1 << 30) - 1;
constexpr long long IINF = (1LL << 60) - 1;
constexpr int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};

template <class T> istream& operator>>(istream& is, vector<T>& v) {
    for (auto& x : v) is >> x;
    return is;
}

template <class T> ostream& operator<<(ostream& os, const vector<T>& v) {
    auto sep = "";
    for (const auto& x : v) os << exchange(sep, " ") << x;
    return os;
}

template <class T, class U = T> bool chmin(T& x, U&& y) { return y < x and (x = forward<U>(y), true); }

template <class T, class U = T> bool chmax(T& x, U&& y) { return x < y and (x = forward<U>(y), true); }

template <class T> void mkuni(vector<T>& v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
}

template <class T> int lwb(const vector<T>& v, const T& x) { return lower_bound(begin(v), end(v), x) - begin(v); }

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    ll a;
    int Q;
    cin >> a >> Q;

    LineContainer<false> LC;
    for (; Q--;) {
        int type;
        cin >> type;
        if (type == 1) {
            ll s, t;
            cin >> s >> t;
            /*
            bs + c = as^2
            bt + c = at^2
            b(t - s) = a(t - s)(t + s)
            b = a(t + s)
            */
            ll b = a * (t + s), c = a * s * s - b * s;
            LC.add(b, c);
        } else {
            ll t;
            cin >> t;
            ll ans = LC.query(t) - a * t * t;
            cout << max(ans, 0LL) << '\n';
        }
    }
    return 0;
}