結果

問題 No.2146 2 Pows
コンテスト
ユーザー hitonanode
提出日時 2022-12-04 14:46:46
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 885 ms / 3,000 ms
コード長 14,300 bytes
コンパイル時間 2,063 ms
コンパイル使用メモリ 187,428 KB
実行使用メモリ 56,320 KB
最終ジャッジ日時 2024-10-11 14:22:17
合計ジャッジ時間 19,035 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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ファイルパターン 結果
sample AC * 2
other AC * 32
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

// Fibonacci heap
// - Complexity:
//   - empty(), size(), top(), push(), meld(): O(1)
//   - pop(), decrease(): O(lg N) amortized
// - Reference:
//   - "Introduction to Algorithms, Third Edition", Chapter 19
//   - <https://www.cs.princeton.edu/~wayne/teaching/fibonacci-heap.pdf>
//   - <https://rsk0315.hatenablog.com/entry/2019/10/29/151823>
template <typename Tp> struct fibonacci_heap {
    struct Node {
        Tp val;
        int deg;
        Node *parent, *left, *right, *child;
        bool mark;
        Node() = default;
        Node(Node const &) = default;
        Node(Node &&) = default;
        Node &operator=(Node const &) = default;
        Node &operator=(Node &&) = default;
        Node(Tp v)
            : val(v), deg(0), parent(nullptr), left(nullptr), right(nullptr), child(nullptr),
              mark(false) {}
        friend std::ostream &operator<<(std::ostream &os, const Node &n) {
            os << '(' << n.val << ',';
            if (n.child != nullptr) os << *(n.child) << ',';
            Node *now = n.right;
            while (now != &n) {
                os << now->val << ',';
                if (now->child != nullptr) os << *now->child << ',';
                now = now->right;
            }
            os << ')';
            return os;
        }
    };

    int sz;
    std::list<Node *> roots;
    Node *ptop;
    inline void _chmin(Node *cand) noexcept {
        if (ptop == nullptr or cand->val < ptop->val) ptop = cand;
    }
    fibonacci_heap() : sz(0), roots({}), ptop(nullptr) {}

    bool empty() const noexcept { return sz == 0; }
    int size() const noexcept { return sz; }

    std::array<Node *, 30> _arr;
    void _fmerge(Node *ptr) {
        int d = ptr->deg;
        if (_arr[d] == nullptr)
            _arr[d] = ptr;
        else {
            Node *cptr = _arr[d];
            if (cptr->val < ptr->val) std::swap(ptr, cptr);
            ptr->deg++;
            cptr->parent = ptr;
            if (ptr->child == nullptr)
                ptr->child = cptr;
            else {
                Node *cl = ptr->child, *cr = ptr->child->right;
                assert(cl->right == cr and cr->left == cl);
                cptr->left = cl, cptr->right = cr, cl->right = cr->left = cptr;
            }
            _arr[d] = nullptr;
            _fmerge(ptr);
        }
    }
    void _consolidate() {
        _arr.fill(nullptr);
        for (auto ptr : roots)
            if (ptr != nullptr) {
                if (ptr->deg < 0)
                    delete ptr;
                else
                    _fmerge(ptr);
            }
        roots.clear(), ptop = nullptr;
        for (auto ptr : _arr)
            if (ptr != nullptr) _add_tree(ptr);
    }

    void _add_tree(Node *root) noexcept {
        root->parent = nullptr;
        root->left = root->right = root;
        roots.emplace_back(root);
        _chmin(root);
    }

    Node *push(const Tp &val) noexcept {
        sz++;
        Node *ptr = new Node(val);
        _add_tree(ptr);
        return ptr;
    }

    void meld(fibonacci_heap &&hp) {
        sz += hp.sz;
        roots.splice(roots.end(), hp.roots);
        if (hp.ptop != nullptr) _chmin(hp.ptop);
    }

    void pop() {
        assert(sz > 0);
        sz--;
        Node *ch1 = ptop->child;
        if (ch1 != nullptr) {
            Node *now = ch1;
            while (true) {
                Node *nxt = now->right;
                _add_tree(now);
                now = nxt;
                if (now == ch1) break;
            }
        }
        ptop->deg = -1;
        _consolidate();
    }

    void _deldfs(Node *now) {
        while (now != nullptr) {
            if (now->child != nullptr) _deldfs(now->child);
            Node *nxt = now->right;
            delete now;
            now = nxt;
        }
    }
    void clear() {
        for (auto root : roots) _deldfs(root);
        sz = 0;
        roots.clear();
        ptop = nullptr;
    }

    void _cut(Node *x) noexcept {
        Node *y = x->parent;
        assert(y != nullptr and y->deg > 0);
        Node *xr = x->right, *xl = x->left;
        if (x == xr) {
            y->child = nullptr;
        } else {
            y->child = xr;
            xl->right = xr, xr->left = xl;
        }
        y->deg--;
        _add_tree(x);
        x->mark = false;
    }
    void _cascading_cut(Node *now) noexcept {
        assert(now != nullptr);
        Node *par = now->parent;
        if (par == nullptr) return;
        if (!now->mark)
            now->mark = true;
        else {
            _cut(now);
            _cascading_cut(par);
        }
    }
    void erase(Node *r) {
        if (r->parent != nullptr) {
            Node *rpar = r->parent;
            _cut(r);
            _cascading_cut(rpar);
        }
        ptop = r;
        pop();
    }
    bool decrease(Node *r, const Tp new_val) {
        assert(r != nullptr);
        if (!(new_val < r->val)) return false;
        r->val = new_val;
        if (r->parent != nullptr and new_val < r->parent->val) {
            Node *rpar = r->parent;
            _cut(r);
            _cascading_cut(rpar);
        }
        _chmin(r);
        return true;
    }
    Tp top() const {
        assert(ptop != nullptr);
        return ptop->val;
    }
    friend std::ostream &operator<<(std::ostream &os, const fibonacci_heap &hp) {
        os << "[(fibonacci_heap: sz=" << hp.sz << ", top=" << hp.ptop->val
           << ", #tree = " << hp.roots.size() << ")";
        for (auto x : hp.roots) { os << *x << ", "; }
        os << ']';
        return os;
    }
};


template <typename Tp> struct heap {
    using P = std::pair<Tp, int>;
    fibonacci_heap<P> _heap;
    std::vector<typename fibonacci_heap<P>::Node *> vp;
    std::vector<Tp> result;
    void initialize(int N, Tp initval) {
        _heap.clear();
        vp.resize(N);
        result.assign(N, initval);
        for (int i = 0; i < N; i++) { vp[i] = _heap.push(std::make_pair(initval, i)); }
    }
    heap(int N, Tp initval) { initialize(N, initval); }
    bool chmin(int i, Tp val) {
        if (val < result[i]) {
            result[i] = val;
            if (vp[i] == nullptr) {
                vp[i] = _heap.push(std::make_pair(result[i], i));
            } else {
                _heap.decrease(vp[i], std::make_pair(result[i], i));
            }
            return true;
        }
        return false;
    }
    Tp operator[](int i) const { return result.at(i); }
    P top() { return _heap.top(); }
    P pop() {
        P ret = _heap.top();
        _heap.pop();
        return ret;
    }
    int size() { return _heap.size(); }
    bool empty() { return _heap.empty(); }
};


vector<lint> solve(int N, lint A, lint B, lint C) {
    const int gs = N * 2;

    vector<lint> ret(N * 2, 1LL << 60);
    heap<lint> hp(N * 2, 1LL << 60);
    FOR(n, 1, N + 1) hp.chmin(n == N ? 0 : n, A * n + B);

    while (!hp.empty()) {
        auto [hi, i] = hp.pop();
        ret[i] = hi;

        if (i < N) {
            int j = i * 2;
            if (j >= N) j -= N;
            hp.chmin(j, hi + C);
            hp.chmin(i + N, hi + B);
        } else {
            hp.chmin(i - N, hi);
            int j = i + 1;
            if (j == N * 2) j = N;
            hp.chmin(j, hi + A);
        }
    }
    ret.resize(N);
    return ret;
}

int main() {
    int N, A, B, C;
    cin >> N >> A >> B >> C;
    for (lint x : solve(N, A, B, C)) cout << x << '\n';
}
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