結果

問題 No.952 危険な火薬庫
ユーザー hitonanode
提出日時 2019-12-15 23:34:29
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 196 ms / 2,000 ms
コード長 4,769 bytes
コンパイル時間 1,757 ms
コンパイル使用メモリ 177,772 KB
実行使用メモリ 6,260 KB
最終ジャッジ日時 2024-07-02 18:29:10
合計ジャッジ時間 4,160 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 23
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 # 

#include <bits/stdc++.h>
using namespace std;
using lint = long long int;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((lint)(x).size())
#define POW2(n) (1LL << (n))
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template<typename T> void ndarray(vector<T> &vec, int len) { vec.resize(len); }
template<typename T, typename... Args> void ndarray(vector<T> &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); }
template<typename T> bool mmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; }
template<typename T> bool mmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; }
template<typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template<typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
template<typename T> istream &operator>>(istream &is, vector<T> &vec){ for (auto &v : vec) is >> v; return is; }
///// This part below is only for debug, not used /////
template<typename T> ostream &operator<<(ostream &os, const vector<T> &vec){ os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template<typename T> ostream &operator<<(ostream &os, const deque<T> &vec){ os << "deq["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template<typename T> ostream &operator<<(ostream &os, const set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> ostream &operator<<(ostream &os, const unordered_set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> ostream &operator<<(ostream &os, const multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa){ os << "(" << pa.first << "," << pa.second << ")"; return os; }
template<typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
template<typename TK, typename TV> ostream &operator<<(ostream &os, const unordered_map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
#define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl;
///// END /////
/*
Convex Hull Trick
Implementation Idea: <https://github.com/satanic0258/Cpp_snippet/blob/master/src/technique/ConvexHullTrick.cpp>
*/
using T_CHT = __int128_t;
// using mpint = __int128_t;
struct MonotoneConvexHullTrick : deque<pair<T_CHT, T_CHT>> // (a, b) means `y = ax + b`
{
    bool is_minimizer;
    MonotoneConvexHullTrick(bool is_minimizer) : is_minimizer(is_minimizer) {}
    void add_line(T_CHT a, T_CHT b) {
        while (size() > 1u)
        {
            int sz = size();
            T_CHT l = (back().second - (*this)[sz - 2].second) * (back().first - a);
            T_CHT r = (b - back().second) * ((*this)[sz - 2].first - back().first);
            if (l < r) break;
            pop_back();
        }
        emplace_back(a, b);
    } // Add y = ax + b
    T_CHT get(T_CHT x) { 
        while (size() > 1u and front().first * x + front().second > (*this)[1].first * x + (*this)[1].second) {
            pop_front();
        }
        return front().first * x + front().second;
    }
    void add_convex_parabola(T_CHT c, T_CHT a, T_CHT b) { add_line(-2 * c * a, c * a * a + b); } // Add y = c(x - a)^2 + b
    T_CHT parabola_lower_bound(T_CHT c, T_CHT x) { return get(x) + c * x * x; }
};


int main()
{
    int N;
    cin >> N;
    vector<lint> A(N);
    cin >> A;
    vector<MonotoneConvexHullTrick> cht(N + 1, true);
    int x = 0;
    cht[0].add_convex_parabola(1, x, 0);
    REP(i, N) {
        IREP(d, i + 1)
        {
            lint v = cht[d].parabola_lower_bound(1, x);
            cht[d + 1].add_convex_parabola(1, x + A[i], v);
        }
        x += A[i];
    }
    IREP(d, N) {
        lint v = cht[d].parabola_lower_bound(1, x);
        cout << v << endl;
    }
}
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