結果

問題 No.1731 Product of Subsequence
ユーザー stoqstoq
提出日時 2021-11-15 15:44:13
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 5,906 bytes
コンパイル時間 5,565 ms
コンパイル使用メモリ 287,040 KB
実行使用メモリ 9,728 KB
最終ジャッジ日時 2024-05-08 14:07:01
合計ジャッジ時間 12,002 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
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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 521 ms
9,600 KB
testcase_01 AC 16 ms
9,088 KB
testcase_02 AC 15 ms
9,088 KB
testcase_03 AC 15 ms
9,088 KB
testcase_04 AC 15 ms
9,088 KB
testcase_05 AC 16 ms
9,088 KB
testcase_06 AC 15 ms
9,088 KB
testcase_07 AC 15 ms
9,216 KB
testcase_08 AC 35 ms
9,344 KB
testcase_09 WA -
testcase_10 AC 636 ms
9,600 KB
testcase_11 AC 597 ms
9,728 KB
testcase_12 AC 16 ms
9,216 KB
testcase_13 AC 21 ms
9,216 KB
testcase_14 AC 488 ms
9,728 KB
testcase_15 AC 15 ms
9,088 KB
testcase_16 WA -
testcase_17 AC 15 ms
9,088 KB
testcase_18 AC 465 ms
9,600 KB
testcase_19 AC 24 ms
9,216 KB
testcase_20 AC 376 ms
9,472 KB
testcase_21 AC 678 ms
9,728 KB
testcase_22 AC 18 ms
9,344 KB
testcase_23 WA -
testcase_24 AC 24 ms
9,344 KB
testcase_25 AC 19 ms
9,216 KB
testcase_26 AC 102 ms
9,344 KB
testcase_27 AC 138 ms
9,344 KB
testcase_28 AC 255 ms
9,600 KB
testcase_29 AC 108 ms
9,472 KB
testcase_30 AC 571 ms
9,600 KB
testcase_31 AC 17 ms
9,344 KB
testcase_32 WA -
testcase_33 AC 16 ms
9,216 KB
testcase_34 AC 42 ms
9,216 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 # 

#define MOD_TYPE 1

#include <bits/stdc++.h>
using namespace std;

#include <atcoder/all>
//#include <atcoder/modint>
//#include <atcoder/lazysegtree>

using namespace atcoder;

#if 0
#include <boost/multiprecision/cpp_dec_float.hpp>
#include <boost/multiprecision/cpp_int.hpp>
using Int = boost::multiprecision::cpp_int;
using lld = boost::multiprecision::cpp_dec_float_100;
#endif

#if 0
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tag_and_trait.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace __gnu_pbds;
using namespace __gnu_cxx;
template <typename T>
using extset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#endif

#if 1
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#endif

#pragma region Macros

using ll = long long int;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
using pld = pair<ld, ld>;
template <typename Q_type>
using smaller_queue = priority_queue<Q_type, vector<Q_type>, greater<Q_type>>;

#if MOD_TYPE == 1
constexpr ll MOD = ll(1e9 + 7);
#else
#if MOD_TYPE == 2
constexpr ll MOD = 998244353;
#else
constexpr ll MOD = 1000003;
#endif
#endif

using mint = static_modint<MOD>;
constexpr int INF = (int)1e9 + 10;
constexpr ll LINF = (ll)4e18;
constexpr double PI = acos(-1.0);
constexpr double EPS = 1e-11;
constexpr int Dx[] = {0, 0, -1, 1, -1, 1, -1, 1, 0};
constexpr int Dy[] = {1, -1, 0, 0, -1, -1, 1, 1, 0};

#define REP(i, m, n) for (ll i = m; i < (ll)(n); ++i)
#define rep(i, n) REP(i, 0, n)
#define REPI(i, m, n) for (int i = m; i < (int)(n); ++i)
#define repi(i, n) REPI(i, 0, n)
#define YES(n) cout << ((n) ? "YES" : "NO") << "\n"
#define Yes(n) cout << ((n) ? "Yes" : "No") << "\n"
#define possible(n) cout << ((n) ? "possible" : "impossible") << "\n"
#define Possible(n) cout << ((n) ? "Possible" : "Impossible") << "\n"
#define all(v) v.begin(), v.end()
#define NP(v) next_permutation(all(v))
#define dbg(x) cerr << #x << ":" << x << "\n";
#define UNIQUE(v) v.erase(unique(all(v)), v.end())

struct io_init {
  io_init() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << setprecision(30) << setiosflags(ios::fixed);
  };
} io_init;
template <typename T>
inline bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template <typename T>
inline bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
inline ll CEIL(ll a, ll b) { return (a + b - 1) / b; }
template <typename A, size_t N, typename T>
inline void Fill(A (&array)[N], const T &val) {
  fill((T *)array, (T *)(array + N), val);
}
template <typename T>
vector<T> compress(vector<T> &v) {
  vector<T> val = v;
  sort(all(val)), val.erase(unique(all(val)), val.end());
  for (auto &&vi : v) vi = lower_bound(all(val), vi) - val.begin();
  return val;
}
template <typename T, typename U>
constexpr istream &operator>>(istream &is, pair<T, U> &p) noexcept {
  is >> p.first >> p.second;
  return is;
}
template <typename T, typename U>
constexpr ostream &operator<<(ostream &os, pair<T, U> p) noexcept {
  os << p.first << " " << p.second;
  return os;
}
ostream &operator<<(ostream &os, mint m) {
  os << m.val();
  return os;
}
ostream &operator<<(ostream &os, modint m) {
  os << m.val();
  return os;
}
template <typename T>
constexpr istream &operator>>(istream &is, vector<T> &v) noexcept {
  for (int i = 0; i < v.size(); i++) is >> v[i];
  return is;
}
template <typename T>
constexpr ostream &operator<<(ostream &os, vector<T> &v) noexcept {
  for (int i = 0; i < v.size(); i++)
    os << v[i] << (i + 1 == v.size() ? "" : " ");
  return os;
}

random_device seed_gen;
mt19937_64 engine(seed_gen());

struct BiCoef {
  vector<mint> fact_, inv_, finv_;
  BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) {
    fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1);
    for (int i = 2; i < n; i++) {
      fact_[i] = fact_[i - 1] * i;
      inv_[i] = -inv_[MOD % i] * (MOD / i);
      finv_[i] = finv_[i - 1] * inv_[i];
    }
  }
  mint C(ll n, ll k) const noexcept {
    if (n < k || n < 0 || k < 0) return 0;
    return fact_[n] * finv_[k] * finv_[n - k];
  }
  mint P(ll n, ll k) const noexcept { return C(n, k) * fact_[k]; }
  mint H(ll n, ll k) const noexcept { return C(n + k - 1, k); }
  mint Ch1(ll n, ll k) const noexcept {
    if (n < 0 || k < 0) return 0;
    mint res = 0;
    for (int i = 0; i < n; i++)
      res += C(n, i) * mint(n - i).pow(k) * (i & 1 ? -1 : 1);
    return res;
  }
  mint fact(ll n) const noexcept {
    if (n < 0) return 0;
    return fact_[n];
  }
  mint inv(ll n) const noexcept {
    if (n < 0) return 0;
    return inv_[n];
  }
  mint finv(ll n) const noexcept {
    if (n < 0) return 0;
    return finv_[n];
  }
};

BiCoef bc(500010);

#pragma endregion

// -------------------------------

map<ll, int> factrization(ll n) {
  map<ll, int> res;
  for (ll i = 2; i * i <= n; ++i) {
    while (n % i == 0) {
      n /= i;
      res[i]++;
    }
  }
  if (n > 1) res[n]++;
  return res;
}

void solve() {
  int n, k;
  cin >> n >> k;
  vector<ll> a(n);
  rep(i, n) cin >> a[i];
  auto fact = factrization(k);
  vector<int> fact_e;
  for (auto [p, e] : fact) {
    fact_e.push_back(e);
  }
  vector<vector<int>> v(n);
  rep(i, n) {
    for (auto [p, e] : fact) {
      int cnt = 0;
      while (a[i] % p == 0) {
        a[i] /= p;
        cnt++;
      }
      v[i].push_back(cnt);
    }
  }

  int m = fact.size();
  vector<int> init(m, 0);
  map<vector<int>, mint> dp;
  dp[init] = 1;
  rep(i, n) {
    map<vector<int>, mint> nxt = dp;  // 選ばない場合を兼ねる
    for (auto &&[dp_v, val] : dp) {
      auto nxt_v = dp_v;
      rep(j, m) nxt_v[j] = min(int(nxt_v[j] + v[i][j]), fact_e[j]);
      nxt[nxt_v] += val;
    }
    dp = move(nxt);
  }
  cout << dp[fact_e] << "\n";
}

int main() { solve(); }
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