結果

問題 No.2458 Line Up Charged Balls
ユーザー cutmdocutmdo
提出日時 2023-09-01 23:49:21
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 6,137 bytes
コンパイル時間 5,113 ms
コンパイル使用メモリ 278,556 KB
実行使用メモリ 34,172 KB
最終ジャッジ日時 2023-09-01 23:49:33
合計ジャッジ時間 8,796 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge16
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
4,384 KB
testcase_01 AC 1 ms
4,380 KB
testcase_02 AC 1 ms
4,380 KB
testcase_03 AC 1 ms
4,380 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 67 ms
28,204 KB
testcase_06 AC 67 ms
28,020 KB
testcase_07 WA -
testcase_08 AC 1 ms
4,384 KB
testcase_09 WA -
testcase_10 AC 69 ms
11,860 KB
testcase_11 WA -
testcase_12 AC 3 ms
4,384 KB
testcase_13 AC 136 ms
19,956 KB
testcase_14 AC 135 ms
19,736 KB
testcase_15 AC 26 ms
9,996 KB
testcase_16 AC 93 ms
28,204 KB
testcase_17 AC 113 ms
28,124 KB
testcase_18 AC 109 ms
28,208 KB
testcase_19 AC 167 ms
28,276 KB
testcase_20 AC 129 ms
28,940 KB
testcase_21 AC 93 ms
29,456 KB
testcase_22 AC 82 ms
28,656 KB
testcase_23 AC 275 ms
32,832 KB
testcase_24 AC 144 ms
28,884 KB
testcase_25 AC 329 ms
34,172 KB
testcase_26 WA -
testcase_27 WA -
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("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,avx512f")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <iostream>
#include <iomanip>
#include <string>
#include <cmath>
#include <algorithm>
#include <vector>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <list>
#include <stack>
#include <queue>
#include <bitset>
#include <numeric>
#include <cassert>
#include <memory>
#include <random>
#include <functional>
#include <complex>
#include <immintrin.h>
#include <stdexcept>
#ifdef DEBUG
#include "./CompetitiveProgrammingCpp/Utils/debug.hpp"
#include "./CompetitiveProgrammingCpp/Utils/Timer.hpp"
#include "./CompetitiveProgrammingCpp/Utils/sample.hpp"
#else
#define dump(...)
template<class T>constexpr inline auto d_val(T a, T b) { return a; }
#endif

/* macro */
#define FOR(i, b, e) for(ll i = (ll)(b); i < (ll)(e); ++i)
#define RFOR(i, b, e) for(ll i = (ll)((e)-1); i >= (ll)(b); --i)
#define REP(i, n) FOR(i, 0, (n))
#define RREP(i, n) RFOR(i, 0, (n))
#define REPC(x,c) for(const auto& x:(c))
#define REPI2(it,b,e) for(auto it = (b); it != (e); ++it)
#define REPI(it,c) REPI2(it, (c).begin(), (c).end())
#define RREPI(it,c) REPI2(it, (c).rbegin(), (c).rend())
#define REPI_ERACE2(it, b, e) for(auto it = (b); it != (e);)
#define REPI_ERACE(it, c) REPI_ERACE2(it, (c).begin(), (c).end())
#define ALL(x) (x).begin(),(x).end()
/* macro func */
template<class T>
inline auto sort(T& t) { std::sort(ALL(t)); }
template<class T>
inline auto rsort(T& t) { std::sort((t).rbegin(), (t).rend()); }
template<class T, class S>
inline auto chmax(T& t, const S& s) { if(s > t) { t = s; return true; } return false; }
template<class T, class S>
inline auto chmin(T& t, const S& s) { if(s < t) { t = s; return true; } return false; }
inline auto BR() { std::cout << "\n"; }

/* type define */
using ll = long long;
template<class T>
using V = std::vector<T>;
using VS = V<std::string>;
using VL = V<ll>;
using VVL = V<VL>;
template<class T = ll, class U = T>
using P = std::pair<T, U>;
using PAIR = P<ll>;

/* using std */
using std::cout;
using std::cin;
using std::cerr;
constexpr char endl = '\n';

/* Initial processing  */
struct Preprocessing { Preprocessing() { std::cin.tie(0); std::ios::sync_with_stdio(0); }; }_Preprocessing;

/* define hash */
constexpr unsigned int static_random() { return 1u * __TIME__[0] * __TIME__[1] * __TIME__[3] * __TIME__[4] * __TIME__[6] * __TIME__[7]; }
template<class T> struct Hash { auto operator()(T x) const { return std::hash<T>()(x) ^ static_random(); } };
template<> struct Hash<std::pair<int, int>> { auto operator()(const std::pair<int, int>& x) const { return Hash<long long>()(x.first << 31 | x.second); } };

/* input */
template<class T> std::istream& operator >> (std::istream& is, std::vector<T>& vec) { for(T& x : vec) is >> x; return is; }

/* constant value */
// constexpr ll MOD = 1000000007;
constexpr ll MOD = 998244353;

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


class LiChaoTree {
    using T = long long;
    using Line = std::pair<T, T>;
    constexpr static T INF = std::numeric_limits< T >::max() / 2;

    int m_size;
    std::vector<T> m_x;
    std::vector<Line> m_node;
    std::unordered_map<T, T> m_xtoi;

    static inline int calcSize(int n) { int size = 1; while(size < n) { size <<= 1; }return size; }
    auto f(const Line& line, const T& x)const { return line.first * x + line.second; }

    auto addLine(const Line& line_, int k, int l, int r) {
        auto line = line_;

        auto m = (l + r) / 2;
        if(f(line, m_x[m]) < f(m_node[k], m_x[m])) { std::swap(line, m_node[k]); }
        if(l + 1 == r) { return; }
        if(line.first > m_node[k].first) {
            addLine(line, (k << 1) + 1, l, m);
        } else if(line.first < m_node[k].first) {
            addLine(line, (k << 1) + 2, m, r);
        }
    }

public:
    LiChaoTree(const std::vector<T>& x_) :m_size(calcSize(x_.size())) {
        auto x = x_;
        std::sort(x.begin(), x.end());
        x.erase(std::unique(x.begin(), x.end()), x.end());
        m_x = decltype(m_x)(m_size);
        for(size_t i = 0; i < x.size(); ++i) {
            m_x[i] = x[i];
            m_xtoi.emplace(x[i], i);
        }
        for(size_t i = x.size(); i < m_size; ++i) { m_x[i] = m_x[i - 1] + 1; }
        m_node = decltype(m_node)(m_size << 1, {0,INF});
    }

    auto addLine(const Line& line) { addLine(line, 0, 0, m_size); }
    auto addLine(const T& a, const T& b) { addLine({a,b}); }
    auto addSegment(const Line& line, const T& l_, const T& r_) {
        auto l = m_xtoi[l_], r = m_xtoi[r_];
        auto lk = l + m_size - 1;
        auto rk = r + m_size - 1;
        auto len = 1;
        while(lk <= rk) {
            if(!(lk & 1)) {
                addLine(line, lk, l, l + len);
                l += len;
                ++lk;
            }
            if(rk & 1) {
                r -= len;
                addLine(line, rk, r + 1, r + len + 1);
                --rk;
            }
            lk = (lk - 1) >> 1;
            rk = (rk - 1) >> 1;
            len <<= 1;
        }
    }
    auto addSegment(const T& a, const T& b, const T& l, const T& r) { addSegment({a,b}, l, r); }

    auto query(const T& x) {
        auto k = m_xtoi[x] + m_size;
        auto ret = INF;
        while(k > 0) {
            ret = std::min(ret, f(m_node[k - 1], x));
            k >>= 1;
        }
        return ret;
    }

    auto debug()const {
        std::cerr << "-- Li Chao Tree --" << std::endl;
        for(unsigned int i = 0; i < m_node.size(); ++i) {
            std::cerr << i << ": (" << m_node[i].first
                << " " << m_node[i].second << ")" << std::endl;
        }
    }
};

signed main() {
    ll n;
    cin >> n;
    VL a(n);
    cin >> a;

    auto lct = LiChaoTree(a);
    VL dp(n, 1e18);
    lct.addLine(-a[0], 0);
    FOR(i, 1, n) {
        dp[i] = lct.query(a[i]);
        lct.addLine(-a[i], dp[i]);
    }
    cout << -(*std::min_element(ALL(dp))) << endl;
}
0