結果

問題 No.1304 あなたは基本が何か知っていますか？私は知っています．
ユーザー NyaanNyaanNyaanNyaan
提出日時 2020-12-01 01:52:47
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,518 ms / 2,000 ms
コード長 13,652 bytes
コンパイル時間 3,217 ms
コンパイル使用メモリ 311,692 KB
実行使用メモリ 23,076 KB
最終ジャッジ日時 2024-06-12 08:08:52
合計ジャッジ時間 54,733 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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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 19 ms
16,768 KB
testcase_01 AC 38 ms
22,852 KB
testcase_02 AC 13 ms
16,768 KB
testcase_03 AC 151 ms
22,860 KB
testcase_04 AC 1,518 ms
17,024 KB
testcase_05 AC 704 ms
23,072 KB
testcase_06 AC 31 ms
16,768 KB
testcase_07 AC 1,278 ms
22,820 KB
testcase_08 AC 150 ms
18,496 KB
testcase_09 AC 1,157 ms
16,768 KB
testcase_10 AC 915 ms
16,896 KB
testcase_11 AC 1,191 ms
22,944 KB
testcase_12 AC 963 ms
16,768 KB
testcase_13 AC 680 ms
23,076 KB
testcase_14 AC 821 ms
16,896 KB
testcase_15 AC 787 ms
22,948 KB
testcase_16 AC 912 ms
16,896 KB
testcase_17 AC 182 ms
11,432 KB
testcase_18 AC 887 ms
11,392 KB
testcase_19 AC 484 ms
11,392 KB
testcase_20 AC 87 ms
11,520 KB
testcase_21 AC 477 ms
11,556 KB
testcase_22 AC 1,003 ms
11,520 KB
testcase_23 AC 1,202 ms
11,392 KB
testcase_24 AC 1,515 ms
11,392 KB
testcase_25 AC 103 ms
11,428 KB
testcase_26 AC 135 ms
11,432 KB
testcase_27 AC 190 ms
11,556 KB
testcase_28 AC 114 ms
11,428 KB
testcase_29 AC 109 ms
11,552 KB
testcase_30 AC 54 ms
11,424 KB
testcase_31 AC 110 ms
11,552 KB
testcase_32 AC 194 ms
11,424 KB
testcase_33 AC 107 ms
11,428 KB
testcase_34 AC 242 ms
11,428 KB
testcase_35 AC 101 ms
11,552 KB
testcase_36 AC 107 ms
11,556 KB
testcase_37 AC 92 ms
11,556 KB
testcase_38 AC 43 ms
11,432 KB
testcase_39 AC 73 ms
11,424 KB
testcase_40 AC 101 ms
11,560 KB
testcase_41 AC 96 ms
11,428 KB
testcase_42 AC 107 ms
11,428 KB
testcase_43 AC 103 ms
11,424 KB
testcase_44 AC 104 ms
11,560 KB
04_evil_A_01 RE -
04_evil_A_02 RE -
04_evil_A_03 RE -
04_evil_A_04 RE -
04_evil_A_05 RE -
04_evil_A_06 RE -
04_evil_A_07 RE -
04_evil_A_08 RE -
04_evil_A_09 RE -
04_evil_A_10 RE -
05_evil_B_01 RE -
05_evil_B_02 RE -
05_evil_B_03 RE -
05_evil_B_04 RE -
05_evil_B_05 RE -
05_evil_B_06 RE -
05_evil_B_07 RE -
05_evil_B_08 RE -
05_evil_B_09 RE -
05_evil_B_10 RE -
06_evil_C_01 TLE -
06_evil_C_02 TLE -
06_evil_C_03 TLE -
06_evil_C_04 TLE -
06_evil_C_05 TLE -
06_evil_C_06 TLE -
06_evil_C_07 TLE -
06_evil_C_08 TLE -
06_evil_C_09 TLE -
06_evil_C_10 AC 11 ms
22,948 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 # 

/**
 *  date : 2020-12-01 01:52:41
 */

#define NDEBUG
#include <immintrin.h>
using namespace std;

// intrinstic
#include <immintrin.h>

// bits
#include <bits/stdc++.h>

// utility
namespace Nyaan {
using ll = long long;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;

template <typename T>
using V = vector<T>;
template <typename T>
using VV = vector<vector<T>>;
using vi = vector<int>;
using vl = vector<long long>;
using vd = V<double>;
using vs = V<string>;
using vvi = vector<vector<int>>;
using vvl = vector<vector<long long>>;

template <typename T, typename U>
struct P : pair<T, U> {
  template <typename... Args>
  P(Args... args) : pair<T, U>(args...) {}

  using pair<T, U>::first;
  using pair<T, U>::second;

  T &x() { return first; }
  const T &x() const { return first; }
  U &y() { return second; }
  const U &y() const { return second; }

  P &operator+=(const P &r) {
    first += r.first;
    second += r.second;
    return *this;
  }
  P &operator-=(const P &r) {
    first -= r.first;
    second -= r.second;
    return *this;
  }
  P &operator*=(const P &r) {
    first *= r.first;
    second *= r.second;
    return *this;
  }
  P operator+(const P &r) const { return P(*this) += r; }
  P operator-(const P &r) const { return P(*this) -= r; }
  P operator*(const P &r) const { return P(*this) *= r; }
};

using pl = P<ll, ll>;
using pi = P<int, int>;
using vp = V<pl>;

constexpr int inf = 1001001001;
constexpr long long infLL = 4004004004004004004LL;

template <typename T>
int sz(const T &t) {
  return t.size();
}
template <typename T, size_t N>
void mem(T (&a)[N], int c) {
  memset(a, c, sizeof(T) * N);
}

template <typename T, typename U>
inline bool amin(T &x, U y) {
  return (y < x) ? (x = y, true) : false;
}
template <typename T, typename U>
inline bool amax(T &x, U y) {
  return (x < y) ? (x = y, true) : false;
}

template <typename T>
int lb(const vector<T> &v, const T &a) {
  return lower_bound(begin(v), end(v), a) - begin(v);
}
template <typename T>
int ub(const vector<T> &v, const T &a) {
  return upper_bound(begin(v), end(v), a) - begin(v);
}

template <typename T>
int btw(T a, T x, T b) {
  return a <= x && x < b;
}

template <typename T, typename U>
T ceil(T a, U b) {
  return (a + b - 1) / b;
}

constexpr long long TEN(int n) {
  long long ret = 1, x = 10;
  for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1);
  return ret;
}

template <typename T, typename U>
pair<T, U> mkp(const T &t, const U &u) {
  return make_pair(t, u);
}

template <typename T>
vector<T> mkrui(const vector<T> &v, bool rev = false) {
  vector<T> ret(v.size() + 1);
  if (rev) {
    for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1];
  } else {
    for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i];
  }
  return ret;
};

template <typename T>
vector<T> mkuni(const vector<T> &v) {
  vector<T> ret(v);
  sort(ret.begin(), ret.end());
  ret.erase(unique(ret.begin(), ret.end()), ret.end());
  return ret;
}

template <typename F>
vector<int> mkord(int N, F f) {
  vector<int> ord(N);
  iota(begin(ord), end(ord), 0);
  sort(begin(ord), end(ord), f);
  return ord;
}

template <typename T>
vector<T> reord(const vector<T> &v, const vector<T> &ord) {
  int N = v.size();
  vector<T> ret(N);
  for (int i = 0; i < N; i++) ret[i] = v[ord[i]];
  return ret;
};

template <typename T = int>
vector<T> mkiota(int N) {
  vector<T> ret(N);
  iota(begin(ret), end(ret), 0);
  return ret;
}

template <typename T>
vector<int> mkinv(vector<T> &v, int max_val = -1) {
  if (max_val < (int)v.size()) max_val = v.size() - 1;
  vector<int> inv(max_val + 1, -1);
  for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;
  return inv;
}

}  // namespace Nyaan

// bit operation
namespace Nyaan {

__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {
  return _mm_popcnt_u64(a);
}

__attribute__((target("bmi"))) inline int botbit(const u64 &a) {
  return _tzcnt_u64(a);
}
__attribute__((target("bmi"))) inline int ctz(const u64 &a) {
  return _tzcnt_u64(a);
}

__attribute__((target("lzcnt"))) inline int topbit(const u64 &a) {
  return 63 - _lzcnt_u64(a);
}
__attribute__((target("lzcnt"))) inline int clz64(const u64 &a) {
  return _lzcnt_u64(a);
}

template <typename T>
inline int gbit(const T &a, int i) {
  return (a >> i) & 1;
}
template <typename T>
inline void sbit(T &a, int i, bool b) {
  a ^= (gbit(a, i) == b ? 0 : (T(b) << i));
}

constexpr long long PW(int n) { return 1LL << n; }

constexpr long long MSK(int n) { return (1LL << n) - 1; }

}  // namespace Nyaan

// inout
namespace Nyaan {

template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &p) {
  os << p.first << " " << p.second;
  return os;
}
template <typename T, typename U>
istream &operator>>(istream &is, pair<T, U> &p) {
  is >> p.first >> p.second;
  return is;
}

template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
  int s = (int)v.size();
  for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];
  return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
  for (auto &x : v) is >> x;
  return is;
}

void in() {}
template <typename T, class... U>
void in(T &t, U &... u) {
  cin >> t;
  in(u...);
}

void out() { cout << "\n"; }
template <typename T, class... U, char sep = ' '>
void out(const T &t, const U &... u) {
  cout << t;
  if (sizeof...(u)) cout << sep;
  out(u...);
}

void outr() {}
template <typename T, class... U, char sep = ' '>
void outr(const T &t, const U &... u) {
  cout << t;
  outr(u...);
}

struct IoSetupNya {
  IoSetupNya() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(15);
    cerr << fixed << setprecision(7);
  }
} iosetupnya;

}  // namespace Nyaan

// debug
namespace DebugImpl {

void dump(const char& t) { cerr << t; }

void dump(const string& t) { cerr << t; }

template <typename T>
void dump(const T& t, enable_if_t<is_integral<T>::value>* = nullptr) {
  string res;
  if (t == Nyaan::inf) res = "inf";
  if (is_signed<T>::value)
    if (t == -Nyaan::inf) res = "-inf";
  if (sizeof(T) == 8) {
    if (t == Nyaan::infLL) res = "inf";
    if (is_signed<T>::value)
      if (t == -Nyaan::infLL) res = "-inf";
  }
  if (res.empty()) res = to_string(t);
  cerr << res;
}

template <typename T, typename U>
void dump(const pair<T, U>&);
template <typename T>
void dump(const pair<T*, int>&);

template <typename T>
void dump(const T& t,
          enable_if_t<!is_void<typename T::iterator>::value>* = nullptr) {
  cerr << "[ ";
  for (auto it = t.begin(); it != t.end();) {
    dump(*it);
    cerr << (++it == t.end() ? " ]" : ", ");
  }
}

template <typename T, typename U>
void dump(const pair<T, U>& t) {
  cerr << "( ";
  dump(t.first);
  cerr << ", ";
  dump(t.second);
  cerr << " )";
}

template <typename T>
void dump(const pair<T*, int>& t) {
  cerr << "[ ";
  for (int i = 0; i < t.second; i++) {
    dump(t.first[i]);
    cerr << (i == t.second - 1 ? " ]" : ", ");
  }
}

void trace() { cerr << endl; }
template <typename Head, typename... Tail>
void trace(Head&& head, Tail&&... tail) {
  cerr << " ";
  dump(head);
  if (sizeof...(tail) != 0) cerr << ",";
  trace(forward<Tail>(tail)...);
}

}  // namespace DebugImpl

using DebugImpl::trace;

#ifdef NyaanDebug
#define trc(...)                            \
  do {                                      \
    cerr << "## " << #__VA_ARGS__ << " = "; \
    DebugImpl::trace(__VA_ARGS__);          \
  } while (0)
#else
#define trc(...)
#endif

// macro
#define each(x, v) for (auto&& x : v)
#define all(v) (v).begin(), (v).end()
#define rep(i, N) for (long long i = 0; i < (long long)(N); i++)
#define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--)
#define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++)
#define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--)
#define reg(i, a, b) for (long long i = (a); i < (b); i++)
#define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--)
#define repc(i, a, cond) for (long long i = (a); (cond); i++)

#define ini(...)   \
  int __VA_ARGS__; \
  in(__VA_ARGS__)
#define inl(...)         \
  long long __VA_ARGS__; \
  in(__VA_ARGS__)
#define ins(...)      \
  string __VA_ARGS__; \
  in(__VA_ARGS__)
#define inc(...)    \
  char __VA_ARGS__; \
  in(__VA_ARGS__)
#define in2(s, t)                           \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i]);                         \
  }
#define in3(s, t, u)                        \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i]);                   \
  }
#define in4(s, t, u, v)                     \
  for (int i = 0; i < (int)s.size(); i++) { \
    in(s[i], t[i], u[i], v[i]);             \
  }

#define die(...)             \
  do {                       \
    Nyaan::out(__VA_ARGS__); \
    return;                  \
  } while (0)

namespace Nyaan {
void solve();
}
int main() { Nyaan::solve(); }

//
using namespace std;

template <uint32_t mod>
struct LazyMontgomeryModInt {
  using mint = LazyMontgomeryModInt;
  using i32 = int32_t;
  using u32 = uint32_t;
  using u64 = uint64_t;

  static constexpr u32 get_r() {
    u32 ret = mod;
    for (i32 i = 0; i < 4; ++i) ret *= 2 - mod * ret;
    return ret;
  }

  static constexpr u32 r = get_r();
  static constexpr u32 n2 = -u64(mod) % mod;
  static_assert(r * mod == 1, "invalid, r * mod != 1");
  static_assert(mod < (1 << 30), "invalid, mod >= 2 ^ 30");
  static_assert((mod & 1) == 1, "invalid, mod % 2 == 0");

  u32 a;

  constexpr LazyMontgomeryModInt() : a(0) {}
  constexpr LazyMontgomeryModInt(const int64_t &b)
      : a(reduce(u64(b % mod + mod) * n2)){};

  static constexpr u32 reduce(const u64 &b) {
    return (b + u64(u32(b) * u32(-r)) * mod) >> 32;
  }

  constexpr mint &operator+=(const mint &b) {
    if (i32(a += b.a - 2 * mod) < 0) a += 2 * mod;
    return *this;
  }

  constexpr mint &operator-=(const mint &b) {
    if (i32(a -= b.a) < 0) a += 2 * mod;
    return *this;
  }

  constexpr mint &operator*=(const mint &b) {
    a = reduce(u64(a) * b.a);
    return *this;
  }

  constexpr mint &operator/=(const mint &b) {
    *this *= b.inverse();
    return *this;
  }

  constexpr mint operator+(const mint &b) const { return mint(*this) += b; }
  constexpr mint operator-(const mint &b) const { return mint(*this) -= b; }
  constexpr mint operator*(const mint &b) const { return mint(*this) *= b; }
  constexpr mint operator/(const mint &b) const { return mint(*this) /= b; }
  constexpr bool operator==(const mint &b) const {
    return (a >= mod ? a - mod : a) == (b.a >= mod ? b.a - mod : b.a);
  }
  constexpr bool operator!=(const mint &b) const {
    return (a >= mod ? a - mod : a) != (b.a >= mod ? b.a - mod : b.a);
  }
  constexpr mint operator-() const { return mint() - mint(*this); }

  constexpr mint pow(u64 n) const {
    mint ret(1), mul(*this);
    while (n > 0) {
      if (n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }
  
  constexpr mint inverse() const { return pow(mod - 2); }

  friend ostream &operator<<(ostream &os, const mint &b) {
    return os << b.get();
  }

  friend istream &operator>>(istream &is, mint &b) {
    int64_t t;
    is >> t;
    b = LazyMontgomeryModInt<mod>(t);
    return (is);
  }
  
  constexpr u32 get() const {
    u32 ret = reduce(a);
    return ret >= mod ? ret - mod : ret;
  }

  static constexpr u32 get_mod() { return mod; }
};
using mint = LazyMontgomeryModInt<998244353>;
using vm = vector<mint>;
using vvm = vector<vm>;
using namespace std;

template <typename T>
struct Binomial {
  vector<T> fac_, finv_, inv_;
  Binomial(int MAX = 0) : fac_(MAX + 10), finv_(MAX + 10), inv_(MAX + 10) {
    assert(T::get_mod() != 0);
    MAX += 9;
    fac_[0] = finv_[0] = inv_[0] = 1;
    for (int i = 1; i <= MAX; i++) fac_[i] = fac_[i - 1] * i;
    finv_[MAX] = fac_[MAX].inverse();
    for (int i = MAX - 1; i > 0; i--) finv_[i] = finv_[i + 1] * (i + 1);
    for (int i = 1; i <= MAX; i++) inv_[i] = finv_[i] * fac_[i - 1];
  }

  void extend() {
    int n = fac_.size();
    T fac = fac_.back() * n;
    T inv = (-inv_[T::get_mod() % n]) * (T::get_mod() / n);
    T finv = finv_.back() * inv;
    fac_.push_back(fac);
    finv_.push_back(finv);
    inv_.push_back(inv);
  }

  T fac(int i) {
    while (i >= (int)fac_.size()) extend();
    return fac_[i];
  }

  T finv(int i) {
    while (i >= (int)finv_.size()) extend();
    return finv_[i];
  }

  T inv(int i) {
    while (i >= (int)inv_.size()) extend();
    return inv_[i];
  }

  T C(int n, int r) {
    if (n < r || r < 0) return T(0);
    return fac(n) * finv(n - r) * finv(r);
  }

  T C_naive(int n, int r) {
    if (n < r || r < 0) return T(0);
    T ret = T(1);
    r = min(r, n - r);
    for (int i = 1; i <= r; ++i) ret *= inv(i) * (n--);
    return ret;
  }

  T P(int n, int r) {
    if (n < r || r < 0) return T(0);
    return fac(n) * finv(n - r);
  }

  T H(int n, int r) {
    if (n < 0 || r < 0) return T(0);
    return r == 0 ? 1 : C(n + r - 1, r);
  }
};

Binomial<mint> C;

//

using namespace Nyaan;
void Nyaan::solve() {
  ini(n, k, x, y);
  vi a(k);
  in(a);
  a = mkuni(a);

  vvm dp(1024, vm(1024));

  dp[0][0] = 1;
  rep(_, n) {
    vvm nx(1024, vm(1024));
    rep(i, 1024) rep(j, 1024) each(x_, a) {
      if (dp[i][j] == 0) continue;
      if (i == x_ and (_ != 0 or i != 0)) continue;
      nx[x_][j ^ x_] += dp[i][j];
      trc(_, i, j, x_, dp[i][j].get());
    }
    swap(dp, nx);
  }

  mint ans = 0;
  reg(j, x, min<int>(1024, y + 1)) rep(i, 1024) ans += dp[i][j];
  out(ans);
}
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