#960062 (C++17) No.2672 Subset Xor Sum

提出ソース

結果

問題	No.2672 Subset Xor Sum
ユーザー	stoq
提出日時	2024-03-15 21:45:51
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	172 ms / 2,000 ms
コード長	5,796 bytes
コンパイル時間	3,866 ms
コンパイル使用メモリ	273,180 KB
実行使用メモリ	11,136 KB
最終ジャッジ日時	2024-09-30 04:17:08
合計ジャッジ時間	8,793 ms
ジャッジサーバーID （参考情報）	judge4 / judge3

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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	16 ms 9,216 KB
testcase_01	AC	16 ms 9,216 KB
testcase_02	AC	16 ms 9,344 KB
testcase_03	AC	15 ms 9,216 KB
testcase_04	AC	15 ms 9,344 KB
testcase_05	AC	16 ms 9,216 KB
testcase_06	AC	14 ms 9,216 KB
testcase_07	AC	14 ms 9,216 KB
testcase_08	AC	15 ms 9,216 KB
testcase_09	AC	15 ms 9,216 KB
testcase_10	AC	14 ms 9,344 KB
testcase_11	AC	15 ms 9,344 KB
testcase_12	AC	15 ms 9,216 KB
testcase_13	AC	15 ms 9,216 KB
testcase_14	AC	15 ms 9,216 KB
testcase_15	AC	14 ms 9,216 KB
testcase_16	AC	14 ms 9,216 KB
testcase_17	AC	15 ms 9,344 KB
testcase_18	AC	14 ms 9,344 KB
testcase_19	AC	14 ms 9,344 KB
testcase_20	AC	14 ms 9,344 KB
testcase_21	AC	15 ms 9,216 KB
testcase_22	AC	15 ms 9,216 KB
testcase_23	AC	15 ms 9,344 KB
testcase_24	AC	14 ms 9,216 KB
testcase_25	AC	15 ms 9,216 KB
testcase_26	AC	14 ms 9,088 KB
testcase_27	AC	15 ms 9,088 KB
testcase_28	AC	16 ms 9,216 KB
testcase_29	AC	15 ms 9,216 KB
testcase_30	AC	15 ms 9,344 KB
testcase_31	AC	160 ms 11,008 KB
testcase_32	AC	94 ms 9,856 KB
testcase_33	AC	86 ms 9,600 KB
testcase_34	AC	125 ms 10,368 KB
testcase_35	AC	158 ms 10,752 KB
testcase_36	AC	140 ms 10,624 KB
testcase_37	AC	157 ms 10,880 KB
testcase_38	AC	102 ms 9,984 KB
testcase_39	AC	172 ms 11,136 KB
testcase_40	AC	68 ms 9,344 KB
testcase_41	AC	86 ms 10,368 KB
testcase_42	AC	122 ms 10,880 KB
testcase_43	AC	105 ms 10,496 KB
testcase_44	AC	146 ms 11,008 KB
testcase_45	AC	96 ms 10,496 KB
testcase_46	AC	18 ms 9,344 KB
testcase_47	AC	92 ms 9,600 KB
testcase_48	AC	17 ms 9,472 KB
testcase_49	AC	16 ms 9,344 KB
testcase_50	AC	18 ms 9,472 KB
testcase_51	AC	91 ms 9,600 KB
testcase_52	AC	92 ms 9,472 KB
testcase_53	AC	92 ms 9,600 KB
testcase_54	AC	91 ms 9,472 KB
testcase_55	AC	93 ms 9,600 KB
testcase_56	AC	17 ms 9,344 KB
testcase_57	AC	68 ms 9,344 KB
testcase_58	AC	32 ms 9,216 KB
testcase_59	AC	15 ms 9,344 KB
testcase_60	AC	15 ms 9,344 KB
testcase_61	AC	15 ms 9,216 KB
testcase_62	AC	46 ms 9,472 KB
testcase_63	AC	56 ms 9,344 KB
testcase_64	AC	79 ms 9,472 KB
testcase_65	AC	34 ms 9,216 KB
testcase_66	AC	15 ms 9,088 KB
testcase_67	AC	14 ms 9,216 KB

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ソースコード

raw source code

#define MOD_TYPE 1

#include <bits/stdc++.h>
using namespace std;
#include <atcoder/all>
// #include <atcoder/lazysegtree>
// #include <atcoder/modint>
// #include <atcoder/segtree>
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 0
#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;
const double PI = acos(-1.0);
constexpr ld EPS = 1e-10;
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 RREP(i, m, n) for (ll i = n - 1; i >= m; i--)
#define rrep(i, n) RREP(i, 0, n)
#define YES(n) cout << ((n) ? "YES" : "NO") << "\n"
#define Yes(n) cout << ((n) ? "Yes" : "No") << "\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(20) << 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 floor(ll a, ll b) {
  if (b < 0) a *= -1, b *= -1;
  if (a >= 0) return a / b;
  return -((-a + b - 1) / b);
}
inline ll ceil(ll a, ll b) { return floor(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;
}
template <typename T>
constexpr void operator--(vector<T> &v, int) noexcept {
  for (int i = 0; i < v.size(); i++) v[i]--;
}
random_device seed_gen;
mt19937_64 engine(seed_gen());
inline ll randInt(ll l, ll r) { return engine() % (r - l + 1) + l; }
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

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

void solve() {
  int n;
  cin >> n;
  vector<int> a(n);
  cin >> a;
  if (n == 2) {
    Yes(a[0] == 0 and a[1] == 0);
    return;
  }
  set<int> st;
  rep(i, n) {
    int t = a[i];
    if (st.count(t))
      st.erase(t);
    else
      st.insert(t);
  }
  a = vector<int>(all(st));

  n = a.size();

  int x = 0;
  rep(i, n) x ^= a[i];
  if (x != 0) {
    Yes(0);
    return;
  }
  const int M = 1 << 13;
  vector<mint> dp(M);
  dp[0] = 1;
  rep(i, n) {
    vector<mint> nxt(M);
    rep(j, M) {
      nxt[j] += dp[j];
      nxt[j ^ a[i]] += dp[j];
    }
    swap(dp, nxt);
  }
  Yes(dp[0].val() != 2);
}

int main() { solve(); }

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結果

テストケース

ソースコード