結果

問題 No.5011 Better Mo's Algorithm is Needed!! (Weighted)
ユーザー 👑 hitonanodehitonanode
提出日時 2022-12-17 01:12:48
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 625 ms / 5,000 ms
コード長 9,557 bytes
コンパイル時間 2,529 ms
実行使用メモリ 14,968 KB
スコア 36,272,114,420
最終ジャッジ日時 2022-12-17 01:14:45
合計ジャッジ時間 111,601 ms
ジャッジサーバーID
(参考情報)
judge13 / judge15
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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 582 ms
14,824 KB
testcase_01 AC 575 ms
14,748 KB
testcase_02 AC 576 ms
14,828 KB
testcase_03 AC 579 ms
14,752 KB
testcase_04 AC 588 ms
14,884 KB
testcase_05 AC 578 ms
14,748 KB
testcase_06 AC 575 ms
14,752 KB
testcase_07 AC 567 ms
14,756 KB
testcase_08 AC 563 ms
14,908 KB
testcase_09 AC 609 ms
14,828 KB
testcase_10 AC 569 ms
14,824 KB
testcase_11 AC 584 ms
14,960 KB
testcase_12 AC 571 ms
14,896 KB
testcase_13 AC 572 ms
14,748 KB
testcase_14 AC 592 ms
14,756 KB
testcase_15 AC 600 ms
14,924 KB
testcase_16 AC 590 ms
14,748 KB
testcase_17 AC 570 ms
14,820 KB
testcase_18 AC 572 ms
14,888 KB
testcase_19 AC 581 ms
14,748 KB
testcase_20 AC 607 ms
14,916 KB
testcase_21 AC 576 ms
14,888 KB
testcase_22 AC 584 ms
14,864 KB
testcase_23 AC 566 ms
14,748 KB
testcase_24 AC 587 ms
14,864 KB
testcase_25 AC 583 ms
14,820 KB
testcase_26 AC 583 ms
14,748 KB
testcase_27 AC 586 ms
14,864 KB
testcase_28 AC 588 ms
14,756 KB
testcase_29 AC 586 ms
14,828 KB
testcase_30 AC 588 ms
14,752 KB
testcase_31 AC 592 ms
14,828 KB
testcase_32 AC 581 ms
14,824 KB
testcase_33 AC 593 ms
14,828 KB
testcase_34 AC 621 ms
14,748 KB
testcase_35 AC 569 ms
14,932 KB
testcase_36 AC 599 ms
14,760 KB
testcase_37 AC 589 ms
14,748 KB
testcase_38 AC 583 ms
14,872 KB
testcase_39 AC 590 ms
14,884 KB
testcase_40 AC 567 ms
14,960 KB
testcase_41 AC 610 ms
14,868 KB
testcase_42 AC 588 ms
14,752 KB
testcase_43 AC 610 ms
14,940 KB
testcase_44 AC 569 ms
14,744 KB
testcase_45 AC 558 ms
14,748 KB
testcase_46 AC 579 ms
14,744 KB
testcase_47 AC 560 ms
14,956 KB
testcase_48 AC 605 ms
14,784 KB
testcase_49 AC 585 ms
14,824 KB
testcase_50 AC 609 ms
14,832 KB
testcase_51 AC 603 ms
14,824 KB
testcase_52 AC 585 ms
14,940 KB
testcase_53 AC 571 ms
14,832 KB
testcase_54 AC 608 ms
14,888 KB
testcase_55 AC 581 ms
14,864 KB
testcase_56 AC 586 ms
14,636 KB
testcase_57 AC 625 ms
14,964 KB
testcase_58 AC 581 ms
14,880 KB
testcase_59 AC 587 ms
14,752 KB
testcase_60 AC 600 ms
14,756 KB
testcase_61 AC 574 ms
14,832 KB
testcase_62 AC 589 ms
14,888 KB
testcase_63 AC 571 ms
14,864 KB
testcase_64 AC 593 ms
14,912 KB
testcase_65 AC 572 ms
14,692 KB
testcase_66 AC 567 ms
14,868 KB
testcase_67 AC 562 ms
14,964 KB
testcase_68 AC 574 ms
14,756 KB
testcase_69 AC 585 ms
14,828 KB
testcase_70 AC 565 ms
14,956 KB
testcase_71 AC 584 ms
14,940 KB
testcase_72 AC 572 ms
14,824 KB
testcase_73 AC 576 ms
14,748 KB
testcase_74 AC 585 ms
14,908 KB
testcase_75 AC 578 ms
14,824 KB
testcase_76 AC 592 ms
14,912 KB
testcase_77 AC 581 ms
14,864 KB
testcase_78 AC 589 ms
14,912 KB
testcase_79 AC 572 ms
14,960 KB
testcase_80 AC 574 ms
14,860 KB
testcase_81 AC 568 ms
14,752 KB
testcase_82 AC 581 ms
14,824 KB
testcase_83 AC 575 ms
14,760 KB
testcase_84 AC 604 ms
14,756 KB
testcase_85 AC 582 ms
14,844 KB
testcase_86 AC 583 ms
14,824 KB
testcase_87 AC 608 ms
14,832 KB
testcase_88 AC 584 ms
14,752 KB
testcase_89 AC 586 ms
14,968 KB
testcase_90 AC 590 ms
14,748 KB
testcase_91 AC 605 ms
14,868 KB
testcase_92 AC 603 ms
14,748 KB
testcase_93 AC 597 ms
14,744 KB
testcase_94 AC 576 ms
14,908 KB
testcase_95 AC 587 ms
14,728 KB
testcase_96 AC 589 ms
14,780 KB
testcase_97 AC 587 ms
14,748 KB
testcase_98 AC 576 ms
14,748 KB
testcase_99 AC 616 ms
14,756 KB
testcase_100 AC 584 ms
14,828 KB
testcase_101 AC 588 ms
14,916 KB
testcase_102 AC 591 ms
14,944 KB
testcase_103 AC 576 ms
14,748 KB
testcase_104 AC 589 ms
14,864 KB
testcase_105 AC 562 ms
14,872 KB
testcase_106 AC 556 ms
14,876 KB
testcase_107 AC 591 ms
14,888 KB
testcase_108 AC 574 ms
14,752 KB
testcase_109 AC 586 ms
14,756 KB
testcase_110 AC 563 ms
14,868 KB
testcase_111 AC 585 ms
14,876 KB
testcase_112 AC 588 ms
14,652 KB
testcase_113 AC 564 ms
14,756 KB
testcase_114 AC 624 ms
14,836 KB
testcase_115 AC 561 ms
14,752 KB
testcase_116 AC 560 ms
14,920 KB
testcase_117 AC 599 ms
14,872 KB
testcase_118 AC 613 ms
14,880 KB
testcase_119 AC 601 ms
14,936 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 #

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#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, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
const std::vector<std::pair<int, int>> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}};
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <class T1, class T2> T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); }
template <class T1, class T2> std::pair<T1, T2> operator+(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first + r.first, l.second + r.second); }
template <class T1, class T2> std::pair<T1, T2> operator-(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first - r.first, l.second - r.second); }
template <class T> std::vector<T> sort_unique(std::vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <class T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <class T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); }
template <class IStream, class T> IStream &operator>>(IStream &is, std::vector<T> &vec) { for (auto &v : vec) is >> v; return is; }

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec);
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr);
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const pair<T, U> &pa);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp);
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp);
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl);

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; }
template <class... T> std::istream &operator>>(std::istream &is, std::tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; }
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; }
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl
#define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr)
#else
#define dbg(x) ((void)0)
#define dbgif(cond, x) ((void)0)
#endif


// Mo's algorithm
// - add_range(l, r) : Add [l, r) as query.
// - run() : run Mo's algorithm.
template <class Int, Int INF>
class MosAlgorithm {
    Int nmin, nmax;

public:
    struct Point {
        Int first, second;
        int qid;
    };
    std::vector<Point> ranges;
    MosAlgorithm() : nmin(INF), nmax(-INF) {}

    void add_range(Int l, Int r, int q) {
        assert(l <= r);
        nmin = std::min(nmin, l);
        nmax = std::max(nmax, r);
        ranges.push_back(Point{l, r, q});
    }
    std::vector<int> run() {
        const int Q = ranges.size();
        const int nbbucket = std::max(1, std::min<int>(nmax - nmin, sqrt(Q)));
        const Int szbucket = (nmax - nmin + nbbucket - 1) / nbbucket;
        std::vector<int> qs(Q);
        std::iota(qs.begin(), qs.end(), 0);
        std::sort(qs.begin(), qs.end(), [&](int q1, int q2) {
            auto b1 = (ranges[q1].first - nmin) / szbucket, b2 = (ranges[q2].first - nmin) / szbucket;
            if (b1 != b2)
                return b1 < b2;
            else {
                return (b1 & 1) ? (ranges[q1].second > ranges[q2].second)
                                : (ranges[q1].second < ranges[q2].second);
            }
        });
        return qs;
    }
};

uint32_t rand_int() // XorShift random integer generator
{
    static uint32_t x = 123456789, y = 362436069, z = 521288629, w = 88675123;
    uint32_t t = x ^ (x << 11);
    x = y;
    y = z;
    z = w;
    return w = (w ^ (w >> 19)) ^ (t ^ (t >> 8));
}
double rand_double() { return (double)rand_int() / UINT32_MAX; }


int main() {
    int N, Q, WT, ST;
    cin >> N >> Q >> WT >> ST;
    vector<int> W(N);
    cin >> W;

    vector<lint> scale(N);
    FOR(i, 1, N) scale.at(i) = scale.at(i - 1) + W.at(i - 1) + W.at(i);

    vector<plint> xs(Q);
    for (auto &[x, y] : xs) {
        cin >> x >> y;
        --x, --y;
        x = scale.at(x), y = scale.at(y);
    }
    dbg(xs);
    MosAlgorithm<lint, 1LL << 60> mo;
    REP(q, Q) mo.add_range(xs.at(q).first, xs.at(q).second, q);
    auto path = mo.run();

    auto calc_cost = [&](int i, int j) {
        int s = path.at(i), t = path.at(j);
        auto dx = xs.at(t) - xs.at(s);
        return abs(dx.first) + abs(dx.second);
    };

    constexpr int whi = 100;
    if (N > whi) {
        for (int iter = 0; iter < 10000000; ++iter) {
            int i = rand_int() % (N - whi - 1);
            int j = i + 1 + rand_int() % whi;
            if (calc_cost(i, i + 1) + calc_cost(j, j + 1) > calc_cost(i, j) + calc_cost(i + 1, j + 1)) { reverse(path.begin() + i + 1, path.begin() + j + 1); }
        }
    }

    for (auto q : path) cout << q + 1 << " ";
    cout << endl;
}
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