#871621 (C++23) No.2313 Product of Subsequence (hard)

提出ソース

結果

問題	No.2313 Product of Subsequence (hard)
ユーザー	👑 hitonanode
提出日時	2023-05-24 22:08:49
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	1,323 ms / 4,000 ms
コード長	8,455 bytes
コンパイル時間	2,917 ms
コンパイル使用メモリ	208,656 KB
実行使用メモリ	4,384 KB
最終ジャッジ日時	2023-08-25 14:01:52
合計ジャッジ時間	15,945 ms
ジャッジサーバーID （参考情報）	judge11 / judge13

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 4,376 KB
testcase_01	AC	1 ms 4,376 KB
testcase_02	AC	2 ms 4,376 KB
testcase_03	AC	2 ms 4,380 KB
testcase_04	AC	3 ms 4,376 KB
testcase_05	AC	3 ms 4,380 KB
testcase_06	AC	2 ms 4,380 KB
testcase_07	AC	2 ms 4,376 KB
testcase_08	AC	124 ms 4,376 KB
testcase_09	AC	41 ms 4,380 KB
testcase_10	AC	112 ms 4,376 KB
testcase_11	AC	35 ms 4,380 KB
testcase_12	AC	114 ms 4,380 KB
testcase_13	AC	1,112 ms 4,376 KB
testcase_14	AC	1,116 ms 4,376 KB
testcase_15	AC	1,126 ms 4,380 KB
testcase_16	AC	1,132 ms 4,384 KB
testcase_17	AC	1,064 ms 4,380 KB
testcase_18	AC	1,066 ms 4,376 KB
testcase_19	AC	1,070 ms 4,376 KB
testcase_20	AC	1,073 ms 4,380 KB
testcase_21	AC	2 ms 4,380 KB
testcase_22	AC	2 ms 4,376 KB
testcase_23	AC	2 ms 4,376 KB
testcase_24	AC	1 ms 4,376 KB
testcase_25	AC	54 ms 4,376 KB
testcase_26	AC	34 ms 4,380 KB
testcase_27	AC	1,323 ms 4,380 KB
testcase_28	AC	188 ms 4,376 KB
testcase_29	AC	70 ms 4,380 KB

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ソースコード

raw source code

#pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#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


#include <atcoder/modint>

int main() {
    int N;
    int K;
    cin >> N >> K;

    vector<pint> fac;
    int len = 1;
    for (int p = 2; p * p <= K; ++p) {
        if (K % p) continue;
        fac.emplace_back(p, 0);
        while (K % p == 0) {
            K /= p;
            ++fac.back().second;
        }
        len *= 1 + fac.back().second;
    }
    if (K > 1) fac.emplace_back(K, 1), len *= 2;

    vector<int> ms;
    for (auto [p, d] : fac) ms.push_back(d);

    vector<atcoder::modint998244353> dp(len);
    dp.front() = 1;

    map<vector<int>, int> mp;
    while (N--) {
        long long a;
        cin >> a;
        vector<int> ds;
        for (auto [p, deg] : fac) {
            int m = 0;
            while (a % p == 0) {
                a /= p;
                ++m;
            }
            ds.push_back(min(m, deg));
        }
        mp[ds]++;
    }

    for (auto [ds, cnt] : mp) {
        vector<int> to(dp.size(), -1);
        auto rec = [&](auto &&self, int d, int prv, int nxt) -> void {
            if (d == int(ms.size())) {
                to.at(prv) = nxt;
            } else {
                REP(h, ms.at(d) + 1) {
                    self(self, d + 1, prv * (ms.at(d) + 1) + h, nxt * (ms.at(d) + 1) + min(ms.at(d), ds.at(d) + h));
                }
            }
        };
        rec(rec, 0, 0, 0);
        while (cnt--) IREP(i, dp.size()) dp.at(to.at(i)) += dp.at(i);
    }

    dp.front() -= 1;

    cout << dp.back().val() << endl;
}

yukicoder

結果

テストケース

ソースコード