#879189 (C++23) No.2345 max(l,r)

提出ソース

結果

問題	No.2345 max(l,r)
ユーザー	hitonanode
提出日時	2023-06-09 21:58:33
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	72 ms / 2,000 ms
コード長	15,434 bytes
コンパイル時間	2,024 ms
コンパイル使用メモリ	196,304 KB
実行使用メモリ	9,696 KB
最終ジャッジ日時	2024-06-10 13:16:40
合計ジャッジ時間	5,932 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 6,816 KB
testcase_01	AC	24 ms 6,944 KB
testcase_02	AC	20 ms 6,940 KB
testcase_03	AC	20 ms 6,940 KB
testcase_04	AC	19 ms 6,944 KB
testcase_05	AC	19 ms 6,940 KB
testcase_06	AC	19 ms 6,940 KB
testcase_07	AC	18 ms 6,940 KB
testcase_08	AC	18 ms 6,944 KB
testcase_09	AC	19 ms 6,944 KB
testcase_10	AC	19 ms 6,940 KB
testcase_11	AC	20 ms 6,944 KB
testcase_12	AC	20 ms 6,940 KB
testcase_13	AC	20 ms 6,940 KB
testcase_14	AC	20 ms 6,940 KB
testcase_15	AC	20 ms 6,940 KB
testcase_16	AC	20 ms 6,940 KB
testcase_17	AC	19 ms 6,940 KB
testcase_18	AC	19 ms 6,940 KB
testcase_19	AC	19 ms 6,940 KB
testcase_20	AC	19 ms 6,940 KB
testcase_21	AC	20 ms 6,940 KB
testcase_22	AC	46 ms 7,808 KB
testcase_23	AC	48 ms 8,064 KB
testcase_24	AC	13 ms 6,944 KB
testcase_25	AC	20 ms 6,940 KB
testcase_26	AC	19 ms 6,940 KB
testcase_27	AC	21 ms 6,944 KB
testcase_28	AC	13 ms 6,940 KB
testcase_29	AC	20 ms 6,940 KB
testcase_30	AC	13 ms 7,068 KB
testcase_31	AC	22 ms 6,944 KB
testcase_32	AC	12 ms 6,940 KB
testcase_33	AC	13 ms 6,940 KB
testcase_34	AC	8 ms 7,028 KB
testcase_35	AC	11 ms 7,224 KB
testcase_36	AC	10 ms 6,940 KB
testcase_37	AC	13 ms 6,940 KB
testcase_38	AC	33 ms 7,784 KB
testcase_39	AC	41 ms 6,940 KB
testcase_40	AC	34 ms 6,944 KB
testcase_41	AC	33 ms 7,684 KB
testcase_42	AC	33 ms 6,940 KB
testcase_43	AC	31 ms 6,944 KB
testcase_44	AC	40 ms 6,940 KB
testcase_45	AC	60 ms 9,696 KB
testcase_46	AC	55 ms 6,944 KB
testcase_47	AC	42 ms 7,980 KB
testcase_48	AC	21 ms 7,032 KB
testcase_49	AC	20 ms 7,032 KB
testcase_50	AC	20 ms 7,284 KB
testcase_51	AC	20 ms 6,940 KB
testcase_52	AC	19 ms 6,944 KB
testcase_53	AC	19 ms 6,944 KB
testcase_54	AC	22 ms 7,048 KB
testcase_55	AC	21 ms 6,940 KB
testcase_56	AC	23 ms 7,032 KB
testcase_57	AC	21 ms 7,036 KB
testcase_58	AC	31 ms 7,036 KB
testcase_59	AC	32 ms 7,036 KB
testcase_60	AC	33 ms 7,032 KB
testcase_61	AC	32 ms 7,168 KB
testcase_62	AC	32 ms 7,080 KB
testcase_63	AC	33 ms 6,940 KB
testcase_64	AC	33 ms 7,044 KB
testcase_65	AC	31 ms 6,944 KB
testcase_66	AC	33 ms 7,296 KB
testcase_67	AC	33 ms 6,944 KB
testcase_68	AC	72 ms 6,944 KB

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ソースコード

raw source code

#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


template <int md> struct ModInt {
#if __cplusplus >= 201402L
#define MDCONST constexpr
#else
#define MDCONST
#endif
    using lint = long long;
    MDCONST static int mod() { return md; }
    static int get_primitive_root() {
        static int primitive_root = 0;
        if (!primitive_root) {
            primitive_root = [&]() {
                std::set<int> fac;
                int v = md - 1;
                for (lint i = 2; i * i <= v; i++)
                    while (v % i == 0) fac.insert(i), v /= i;
                if (v > 1) fac.insert(v);
                for (int g = 1; g < md; g++) {
                    bool ok = true;
                    for (auto i : fac)
                        if (ModInt(g).pow((md - 1) / i) == 1) {
                            ok = false;
                            break;
                        }
                    if (ok) return g;
                }
                return -1;
            }();
        }
        return primitive_root;
    }
    int val_;
    int val() const noexcept { return val_; }
    MDCONST ModInt() : val_(0) {}
    MDCONST ModInt &_setval(lint v) { return val_ = (v >= md ? v - md : v), *this; }
    MDCONST ModInt(lint v) { _setval(v % md + md); }
    MDCONST explicit operator bool() const { return val_ != 0; }
    MDCONST ModInt operator+(const ModInt &x) const {
        return ModInt()._setval((lint)val_ + x.val_);
    }
    MDCONST ModInt operator-(const ModInt &x) const {
        return ModInt()._setval((lint)val_ - x.val_ + md);
    }
    MDCONST ModInt operator*(const ModInt &x) const {
        return ModInt()._setval((lint)val_ * x.val_ % md);
    }
    MDCONST ModInt operator/(const ModInt &x) const {
        return ModInt()._setval((lint)val_ * x.inv().val() % md);
    }
    MDCONST ModInt operator-() const { return ModInt()._setval(md - val_); }
    MDCONST ModInt &operator+=(const ModInt &x) { return *this = *this + x; }
    MDCONST ModInt &operator-=(const ModInt &x) { return *this = *this - x; }
    MDCONST ModInt &operator*=(const ModInt &x) { return *this = *this * x; }
    MDCONST ModInt &operator/=(const ModInt &x) { return *this = *this / x; }
    friend MDCONST ModInt operator+(lint a, const ModInt &x) {
        return ModInt()._setval(a % md + x.val_);
    }
    friend MDCONST ModInt operator-(lint a, const ModInt &x) {
        return ModInt()._setval(a % md - x.val_ + md);
    }
    friend MDCONST ModInt operator*(lint a, const ModInt &x) {
        return ModInt()._setval(a % md * x.val_ % md);
    }
    friend MDCONST ModInt operator/(lint a, const ModInt &x) {
        return ModInt()._setval(a % md * x.inv().val() % md);
    }
    MDCONST bool operator==(const ModInt &x) const { return val_ == x.val_; }
    MDCONST bool operator!=(const ModInt &x) const { return val_ != x.val_; }
    MDCONST bool operator<(const ModInt &x) const {
        return val_ < x.val_;
    } // To use std::map<ModInt, T>
    friend std::istream &operator>>(std::istream &is, ModInt &x) {
        lint t;
        return is >> t, x = ModInt(t), is;
    }
    MDCONST friend std::ostream &operator<<(std::ostream &os, const ModInt &x) {
        return os << x.val_;
    }
    MDCONST ModInt pow(lint n) const {
        ModInt ans = 1, tmp = *this;
        while (n) {
            if (n & 1) ans *= tmp;
            tmp *= tmp, n >>= 1;
        }
        return ans;
    }

    static std::vector<ModInt> facs, facinvs, invs;
    MDCONST static void _precalculation(int N) {
        int l0 = facs.size();
        if (N > md) N = md;
        if (N <= l0) return;
        facs.resize(N), facinvs.resize(N), invs.resize(N);
        for (int i = l0; i < N; i++) facs[i] = facs[i - 1] * i;
        facinvs[N - 1] = facs.back().pow(md - 2);
        for (int i = N - 2; i >= l0; i--) facinvs[i] = facinvs[i + 1] * (i + 1);
        for (int i = N - 1; i >= l0; i--) invs[i] = facinvs[i] * facs[i - 1];
    }
    MDCONST ModInt inv() const {
        if (this->val_ < std::min(md >> 1, 1 << 21)) {
            if (facs.empty()) facs = {1}, facinvs = {1}, invs = {0};
            while (this->val_ >= int(facs.size())) _precalculation(facs.size() * 2);
            return invs[this->val_];
        } else {
            return this->pow(md - 2);
        }
    }
    MDCONST ModInt fac() const {
        while (this->val_ >= int(facs.size())) _precalculation(facs.size() * 2);
        return facs[this->val_];
    }
    MDCONST ModInt facinv() const {
        while (this->val_ >= int(facs.size())) _precalculation(facs.size() * 2);
        return facinvs[this->val_];
    }
    MDCONST ModInt doublefac() const {
        lint k = (this->val_ + 1) / 2;
        return (this->val_ & 1) ? ModInt(k * 2).fac() / (ModInt(2).pow(k) * ModInt(k).fac())
                                : ModInt(k).fac() * ModInt(2).pow(k);
    }
    MDCONST ModInt nCr(const ModInt &r) const {
        return (this->val_ < r.val_) ? 0 : this->fac() * (*this - r).facinv() * r.facinv();
    }
    MDCONST ModInt nPr(const ModInt &r) const {
        return (this->val_ < r.val_) ? 0 : this->fac() * (*this - r).facinv();
    }

    ModInt sqrt() const {
        if (val_ == 0) return 0;
        if (md == 2) return val_;
        if (pow((md - 1) / 2) != 1) return 0;
        ModInt b = 1;
        while (b.pow((md - 1) / 2) == 1) b += 1;
        int e = 0, m = md - 1;
        while (m % 2 == 0) m >>= 1, e++;
        ModInt x = pow((m - 1) / 2), y = (*this) * x * x;
        x *= (*this);
        ModInt z = b.pow(m);
        while (y != 1) {
            int j = 0;
            ModInt t = y;
            while (t != 1) j++, t *= t;
            z = z.pow(1LL << (e - j - 1));
            x *= z, z *= z, y *= z;
            e = j;
        }
        return ModInt(std::min(x.val_, md - x.val_));
    }
};
template <int md> std::vector<ModInt<md>> ModInt<md>::facs = {1};
template <int md> std::vector<ModInt<md>> ModInt<md>::facinvs = {1};
template <int md> std::vector<ModInt<md>> ModInt<md>::invs = {0};

using mint = ModInt<998244353>;

mint solve() {
    int N, M;
    cin >> N >> M;
    vector<int> A(N);
    cin >> A;
    sort(ALL(A));
    dbg(A);
    // if (N == 1) return M;

    {
        mint ret = 1;
        int ngrp = 0;
        int L = 0, R = 0;
        map<int, int> Acnt;
        for (int a : A) Acnt[-a]++;

        for (auto [ainv, len] : Acnt) {
            const int a = -ainv;
            dbg(make_tuple(a, len, L, R, ngrp, ret));
            if (a * 2 >= N) {
                int LE = N - a - L;
                int RE = N - a - R;
                if (LE and RE and LE + RE == len) {
                    ngrp += 2;
                    ret *= mint(len).nCr(LE);
                    L += LE;
                    R += RE;
                } else if (LE == len) {
                    if (LE == RE) ret *= 2;
                    ++ngrp;
                    L += LE;
                } else if (RE == len) {
                    ++ngrp;
                    R += RE;
                } else {
                    return 0;
                }
            } else {
                dbg(make_tuple(a, L, R));
                if (a != max(L, R)) return 0;
                if (L + R + len != N) return 0;
                ++ngrp;
            }
        }
        return ret * mint(M).nCr(ngrp);
    }

    {
        int factor = 0;

        int large = 0, small = 0;

        int rem = N;

        vector<tuple<int, int, int>> seq;
        vector<vector<int>> szcnt(N + 1);
        while (A.size()) {
            const int b = A.back();
            const int u = large + rem - b;

            if (u > int(A.size()) or u <= 0) return false;
            if (A.at(A.size() - u) != b) return false;
            REP(_, u) {
                if (A.back() != b) return false;
                A.pop_back();
            }
            if (seq.size() and get<2>(seq.back()) and get<1>(seq.back()) != b) {
                factor++;
            }
            seq.emplace_back(u, b, large == small);
            szcnt.at(b).push_back(u);
            rem -= u;
            small += u;
            if (small > large) swap(large, small);
        }
        dbg(seq);
        mint ret = mint(M).nCr(seq.size()) * mint(2).pow(factor);
        dbg(ret);

        for (auto vec : szcnt) {
            if (vec.empty()) continue;
            mint deninv = 1;
            int n = 0;
            for (int a : vec) deninv *= mint(a).facinv(), n += a;
            ret *= deninv * mint(n).fac();
        }
        return ret;
    }
}

int main() {
    int T;
    cin >> T;
    while (T--) cout << solve() << '\n';
}

yukicoder

結果

テストケース

ソースコード