結果

問題 No.2404 Vertical Throw Up
ユーザー fuppy_kyoprofuppy_kyopro
提出日時 2023-08-04 21:56:37
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 79 ms / 2,000 ms
コード長 6,459 bytes
コンパイル時間 3,258 ms
コンパイル使用メモリ 244,152 KB
実行使用メモリ 6,948 KB
最終ジャッジ日時 2024-04-27 04:54:29
合計ジャッジ時間 5,118 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
6,812 KB
testcase_01 AC 1 ms
6,944 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 58 ms
6,940 KB
testcase_04 AC 49 ms
6,940 KB
testcase_05 AC 75 ms
6,940 KB
testcase_06 AC 1 ms
6,940 KB
testcase_07 AC 79 ms
6,940 KB
testcase_08 AC 60 ms
6,944 KB
testcase_09 AC 46 ms
6,940 KB
testcase_10 AC 14 ms
6,940 KB
testcase_11 AC 13 ms
6,944 KB
testcase_12 AC 10 ms
6,940 KB
testcase_13 AC 2 ms
6,940 KB
testcase_14 AC 2 ms
6,944 KB
testcase_15 AC 2 ms
6,948 KB
testcase_16 AC 2 ms
6,944 KB
testcase_17 AC 3 ms
6,940 KB
testcase_18 AC 3 ms
6,940 KB
testcase_19 AC 2 ms
6,940 KB
testcase_20 AC 2 ms
6,944 KB
testcase_21 AC 3 ms
6,940 KB
testcase_22 AC 2 ms
6,944 KB
testcase_23 AC 2 ms
6,944 KB
testcase_24 AC 2 ms
6,940 KB
testcase_25 AC 2 ms
6,944 KB
testcase_26 AC 2 ms
6,940 KB
testcase_27 AC 3 ms
6,940 KB
testcase_28 AC 2 ms
6,940 KB
testcase_29 AC 1 ms
6,944 KB
testcase_30 AC 2 ms
6,944 KB
testcase_31 AC 2 ms
6,940 KB
testcase_32 AC 1 ms
6,940 KB
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 # 

//*
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
//*/

#include <bits/stdc++.h>

// #include <atcoder/all>
// #include <atcoder/convolution>

using namespace std;
// using namespace atcoder;

// #define _GLIBCXX_DEBUG

#define DEBUG(x) cerr << #x << ": " << x << endl;
#define DEBUG_VEC(v)                                        \
    cerr << #v << ":";                                      \
    for (int iiiiiiii = 0; iiiiiiii < v.size(); iiiiiiii++) \
        cerr << " " << v[iiiiiiii];                         \
    cerr << endl;
#define DEBUG_MAT(v)                                \
    cerr << #v << endl;                             \
    for (int iv = 0; iv < v.size(); iv++) {         \
        for (int jv = 0; jv < v[iv].size(); jv++) { \
            cerr << v[iv][jv] << " ";               \
        }                                           \
        cerr << endl;                               \
    }
typedef long long ll;
// #define int ll

#define vi vector<int>
#define vl vector<ll>
#define vii vector<vector<int>>
#define vll vector<vector<ll>>
#define vs vector<string>
#define pii pair<int, int>
#define pis pair<int, string>
#define psi pair<string, int>
#define pll pair<ll, ll>
template <class S, class T>
pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) {
    return pair<S, T>(s.first + t.first, s.second + t.second);
}
template <class S, class T>
pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }
template <class S, class T>
ostream &operator<<(ostream &os, pair<S, T> p) {
    os << "(" << p.first << ", " << p.second << ")";
    return os;
}
#define X first
#define Y second
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)
#define rrep(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rrep1(i, n) for (int i = (int)(n); i > 0; i--)
#define REP(i, a, b) for (int i = a; i < b; i++)
#define in(x, a, b) (a <= x && x < b)
#define all(c) c.begin(), c.end()
void YES(bool t = true) {
    cout << (t ? "YES" : "NO") << endl;
}
void Yes(bool t = true) { cout << (t ? "Yes" : "No") << endl; }
void yes(bool t = true) { cout << (t ? "yes" : "no") << endl; }
void NO(bool t = true) { cout << (t ? "NO" : "YES") << endl; }
void No(bool t = true) { cout << (t ? "No" : "Yes") << endl; }
void no(bool t = true) { cout << (t ? "no" : "yes") << endl; }
template <class T>
bool chmax(T &a, const T &b) {
    if (a < b) {
        a = b;
        return 1;
    }
    return 0;
}
template <class T>
bool chmin(T &a, const T &b) {
    if (a > b) {
        a = b;
        return 1;
    }
    return 0;
}
#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());
const ll inf = 1000000001;
const ll INF = (ll)1e18 + 1;
const long double pi = 3.1415926535897932384626433832795028841971L;
int popcount(ll t) { return __builtin_popcountll(t); }
// int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
// int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
vi dx = {0, 0, -1, 1}, dy = {-1, 1, 0, 0};
vi dx2 = {1, 1, 0, -1, -1, -1, 0, 1}, dy2 = {0, 1, 1, 1, 0, -1, -1, -1};
struct Setup_io {
    Setup_io() {
        ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
        cout << fixed << setprecision(25);
    }
} setup_io;
// const ll MOD = 1000000007;
const ll MOD = 998244353;
// #define mp make_pair
//#define endl '\n'

template <typename T, const T id>
class convex_hull_trick {
    struct line {
        T a, b;
        line(T a_ = 0, T b_ = 0) : a(a_), b(b_) {}
        T get(T x) { return a * x + b; }
    };
    struct node {
        line l;
        node *lch, *rch;
        node(line l_) : l(l_), lch(nullptr), rch(nullptr) {}
        ~node() {
            if (lch) delete lch;
            if (rch) delete rch;
        }
    };

  private:
    const int n;
    const vector<T> pos;
    node *root;

  public:
    convex_hull_trick(const vector<T> &pos_) : n(pos_.size()), pos(pos_), root(nullptr) {}
    ~convex_hull_trick() {
        if (root) delete root;
    }
    void insert(T a, T b) {
        line l(a, b);
        root = modify(root, 0, n - 1, l);
    }
    T get(T x) const {
        int t = lower_bound(pos.begin(), pos.end(), x) - pos.begin();
        assert(t < n && pos[t] == x);
        return sub(root, 0, n - 1, t);
    }

  private:
    node *modify(node *p, int lb, int ub, line &l) {
        if (!p) return new node(l);
        if (p->l.get(pos[lb]) >= l.get(pos[lb]) && p->l.get(pos[ub]) >= l.get(pos[ub])) return p;
        if (p->l.get(pos[lb]) <= l.get(pos[lb]) && p->l.get(pos[ub]) <= l.get(pos[ub])) {
            p->l = l;
            return p;
        }
        int c = (lb + ub) / 2;
        if (p->l.get(pos[c]) < l.get(pos[c])) swap(p->l, l);
        if (p->l.get(pos[lb]) <= l.get(pos[lb]))
            p->lch = modify(p->lch, lb, c, l);
        else
            p->rch = modify(p->rch, c + 1, ub, l);
        return p;
    }
    T sub(node *p, int lb, int ub, int t) const {
        if (!p) return id;
        if (ub - lb == 0) return p->l.get(pos[t]);
        int c = (lb + ub) / 2;
        if (t <= c) return max(p->l.get(pos[t]), sub(p->lch, lb, c, t));
        return max(p->l.get(pos[t]), sub(p->rch, c + 1, ub, t));
    }
};

signed main() {
    // 多分通らない
    int a;
    cin >> a;

    int q;
    cin >> q;

    vector<tuple<int, int, int>> inputs;
    vl as;
    while (q--) {
        int ty;
        cin >> ty;
        ll a = -1, b = -1;
        if (ty == 1) {
            cin >> a >> b;
            as.push_back(b);
        } else {
            cin >> a;
            as.push_back(a);
        }
        inputs.emplace_back(ty, a, b);
    }

    sort(all(as));
    UNIQUE(as);
    convex_hull_trick<ll, -(ll)8e18> cht(as);

    int cnt = 0;
    for (auto [ty, aa, bb] : inputs) {
        if (ty == 1) {
            ll s, t;
            s = aa;
            t = bb;
            ll b = (t - s) * a;
            cnt++;
            cht.insert(2 * a * s + b, -a * s * s - b * s);
        } else {
            if (cnt == 0) {
                cout << 0 << endl;
                continue;
            }
            ll t = aa;

            ll mi = cht.get(t);
            ll ans = mi;
            ans -= a * t * t;
            if (ans <= 0) {
                cout << 0 << endl;
            } else {
                cout << ans << endl;
            }
        }
    }
}
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