結果

問題 No.1493 隣接xor
ユーザー 👑 emthrmemthrm
提出日時 2021-04-30 22:24:19
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 315 ms / 2,000 ms
コード長 8,272 bytes
コンパイル時間 2,209 ms
コンパイル使用メモリ 214,772 KB
実行使用メモリ 30,208 KB
最終ジャッジ日時 2024-07-19 01:54:07
合計ジャッジ時間 8,102 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
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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
5,248 KB
testcase_01 AC 1 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 307 ms
30,208 KB
testcase_04 AC 293 ms
30,080 KB
testcase_05 AC 310 ms
30,208 KB
testcase_06 AC 306 ms
30,208 KB
testcase_07 AC 310 ms
30,080 KB
testcase_08 AC 313 ms
30,208 KB
testcase_09 AC 315 ms
30,208 KB
testcase_10 AC 305 ms
30,208 KB
testcase_11 AC 300 ms
30,208 KB
testcase_12 AC 309 ms
30,208 KB
testcase_13 AC 42 ms
9,312 KB
testcase_14 AC 28 ms
9,220 KB
testcase_15 AC 2 ms
5,376 KB
testcase_16 AC 2 ms
5,376 KB
testcase_17 AC 1 ms
5,376 KB
testcase_18 AC 1 ms
5,376 KB
testcase_19 AC 2 ms
5,376 KB
testcase_20 AC 125 ms
17,024 KB
testcase_21 AC 146 ms
18,816 KB
testcase_22 AC 99 ms
14,464 KB
testcase_23 AC 134 ms
17,280 KB
testcase_24 AC 295 ms
29,184 KB
testcase_25 AC 88 ms
14,208 KB
testcase_26 AC 164 ms
19,584 KB
testcase_27 AC 57 ms
10,112 KB
testcase_28 AC 275 ms
27,648 KB
testcase_29 AC 173 ms
20,352 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 _USE_MATH_DEFINES
#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()
using ll = long long;
constexpr int INF = 0x3f3f3f3f;
constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-8;
constexpr int MOD = 1000000007;
// constexpr int MOD = 998244353;
constexpr int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
constexpr int dy8[] = {1, 1, 0, -1, -1, -1, 0, 1}, dx8[] = {0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U> inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U> inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
  IOSetup() {
    std::cin.tie(nullptr);
    std::ios_base::sync_with_stdio(false);
    std::cout << fixed << setprecision(20);
  }
} iosetup;

template <int M>
struct MInt {
  unsigned int val;
  MInt(): val(0) {}
  MInt(long long x) : val(x >= 0 ? x % M : x % M + M) {}
  static constexpr int get_mod() { return M; }
  static void set_mod(int divisor) { assert(divisor == M); }
  static void init(int x = 10000000) { inv(x, true); fact(x); fact_inv(x); }
  static MInt inv(int x, bool init = false) {
    // assert(0 <= x && x < M && std::__gcd(x, M) == 1);
    static std::vector<MInt> inverse{0, 1};
    int prev = inverse.size();
    if (init && x >= prev) {
      // "x!" and "M" must be disjoint.
      inverse.resize(x + 1);
      for (int i = prev; i <= x; ++i) inverse[i] = -inverse[M % i] * (M / i);
    }
    if (x < inverse.size()) return inverse[x];
    unsigned int a = x, b = M; int u = 1, v = 0;
    while (b) {
      unsigned int q = a / b;
      std::swap(a -= q * b, b);
      std::swap(u -= q * v, v);
    }
    return u;
  }
  static MInt fact(int x) {
    static std::vector<MInt> f{1};
    int prev = f.size();
    if (x >= prev) {
      f.resize(x + 1);
      for (int i = prev; i <= x; ++i) f[i] = f[i - 1] * i;
    }
    return f[x];
  }
  static MInt fact_inv(int x) {
    static std::vector<MInt> finv{1};
    int prev = finv.size();
    if (x >= prev) {
      finv.resize(x + 1);
      finv[x] = inv(fact(x).val);
      for (int i = x; i > prev; --i) finv[i - 1] = finv[i] * i;
    }
    return finv[x];
  }
  static MInt nCk(int n, int k) {
    if (n < 0 || n < k || k < 0) return 0;
    if (n - k > k) k = n - k;
    return fact(n) * fact_inv(k) * fact_inv(n - k);
  }
  static MInt nPk(int n, int k) { return n < 0 || n < k || k < 0 ? 0 : fact(n) * fact_inv(n - k); }
  static MInt nHk(int n, int k) { return n < 0 || k < 0 ? 0 : (k == 0 ? 1 : nCk(n + k - 1, k)); }
  static MInt large_nCk(long long n, int k) {
    if (n < 0 || n < k || k < 0) return 0;
    inv(k, true);
    MInt res = 1;
    for (int i = 1; i <= k; ++i) res *= inv(i) * n--;
    return res;
  }
  MInt pow(long long exponent) const {
    MInt tmp = *this, res = 1;
    while (exponent > 0) {
      if (exponent & 1) res *= tmp;
      tmp *= tmp;
      exponent >>= 1;
    }
    return res;
  }
  MInt &operator+=(const MInt &x) { if((val += x.val) >= M) val -= M; return *this; }
  MInt &operator-=(const MInt &x) { if((val += M - x.val) >= M) val -= M; return *this; }
  MInt &operator*=(const MInt &x) { val = static_cast<unsigned long long>(val) * x.val % M; return *this; }
  MInt &operator/=(const MInt &x) { return *this *= inv(x.val); }
  bool operator==(const MInt &x) const { return val == x.val; }
  bool operator!=(const MInt &x) const { return val != x.val; }
  bool operator<(const MInt &x) const { return val < x.val; }
  bool operator<=(const MInt &x) const { return val <= x.val; }
  bool operator>(const MInt &x) const { return val > x.val; }
  bool operator>=(const MInt &x) const { return val >= x.val; }
  MInt &operator++() { if (++val == M) val = 0; return *this; }
  MInt operator++(int) { MInt res = *this; ++*this; return res; }
  MInt &operator--() { val = (val == 0 ? M : val) - 1; return *this; }
  MInt operator--(int) { MInt res = *this; --*this; return res; }
  MInt operator+() const { return *this; }
  MInt operator-() const { return MInt(val ? M - val : 0); }
  MInt operator+(const MInt &x) const { return MInt(*this) += x; }
  MInt operator-(const MInt &x) const { return MInt(*this) -= x; }
  MInt operator*(const MInt &x) const { return MInt(*this) *= x; }
  MInt operator/(const MInt &x) const { return MInt(*this) /= x; }
  friend std::ostream &operator<<(std::ostream &os, const MInt &x) { return os << x.val; }
  friend std::istream &operator>>(std::istream &is, MInt &x) { long long val; is >> val; x = MInt(val); return is; }
};
namespace std { template <int M> MInt<M> abs(const MInt<M> &x) { return x; } }
using ModInt = MInt<MOD>;

template <typename T>
struct SegmentTree {
  using Monoid = typename T::Monoid;

  SegmentTree(int n) : SegmentTree(std::vector<Monoid>(n, T::id())) {}

  SegmentTree(const std::vector<Monoid> &a) : n(a.size()) {
    while (p2 < n) p2 <<= 1;
    dat.assign(p2 << 1, T::id());
    for (int i = 0; i < n; ++i) dat[i + p2] = a[i];
    for (int i = p2 - 1; i > 0; --i) dat[i] = T::merge(dat[i << 1], dat[(i << 1) + 1]);
  }

  void set(int idx, Monoid val) {
    idx += p2;
    dat[idx] = val;
    while (idx >>= 1) dat[idx] = T::merge(dat[idx << 1], dat[(idx << 1) + 1]);
  }

  Monoid get(int left, int right) const {
    Monoid l_res = T::id(), r_res = T::id();
    for (left += p2, right += p2; left < right; left >>= 1, right >>= 1) {
      if (left & 1) l_res = T::merge(l_res, dat[left++]);
      if (right & 1) r_res = T::merge(dat[--right], r_res);
    }
    return T::merge(l_res, r_res);
  }

  Monoid operator[](const int idx) const { return dat[idx + p2]; }

  template <typename G>
  int find_right(int left, G g) {
    if (left >= n) return n;
    Monoid val = T::id();
    left += p2;
    do {
      while (!(left & 1)) left >>= 1;
      Monoid nx = T::merge(val, dat[left]);
      if (!g(nx)) {
        while (left < p2) {
          left <<= 1;
          nx = T::merge(val, dat[left]);
          if (g(nx)) {
            val = nx;
            ++left;
          }
        }
        return left - p2;
      }
      val = nx;
      ++left;
    } while (__builtin_popcount(left) > 1);
    return n;
  }

  template <typename G>
  int find_left(int right, G g) {
    if (right <= 0) return -1;
    Monoid val = T::id();
    right += p2;
    do {
      --right;
      while (right > 1 && (right & 1)) right >>= 1;
      Monoid nx = T::merge(dat[right], val);
      if (!g(nx)) {
        while (right < p2) {
          right = (right << 1) + 1;
          nx = T::merge(dat[right], val);
          if (g(nx)) {
            val = nx;
            --right;
          }
        }
        return right - p2;
      }
      val = nx;
    } while (__builtin_popcount(right) > 1);
    return -1;
  }

private:
  int n, p2 = 1;
  std::vector<Monoid> dat;
};

namespace monoid {
template <typename T>
struct RangeMinimumQuery {
  using Monoid = T;
  static constexpr Monoid id() { return std::numeric_limits<Monoid>::max(); }
  static Monoid merge(const Monoid &a, const Monoid &b) { return std::min(a, b); }
};

template <typename T>
struct RangeMaximumQuery {
  using Monoid = T;
  static constexpr Monoid id() { return std::numeric_limits<Monoid>::lowest(); }
  static Monoid merge(const Monoid &a, const Monoid &b) { return std::max(a, b); }
};

template <typename T>
struct RangeSumQuery {
  using Monoid = T;
  static constexpr Monoid id() { return 0; }
  static Monoid merge(const Monoid &a, const Monoid &b) { return a + b; }
};
}  // monoid

int main() {
  int n; cin >> n;
  vector<int> a(n); REP(i, n) cin >> a[i];
  vector<int> x(n, 0);
  REP(i, n) {
    x[i] = a[i];
    if (i > 0) x[i] ^= x[i - 1];
  }
  map<int, vector<int>> mp;
  REP(i, n) mp[x[i]].emplace_back(i);
  vector<int> l(n, -1);
  for (int i = n - 1; i >= 0; --i) {
    mp[x[i]].pop_back();
    if (!mp[x[i]].empty()) l[i] = mp[x[i]].back();
  }
  // REP(i, n) cout << l[i] << " \n"[i + 1 == n];
  SegmentTree<monoid::RangeSumQuery<ModInt>> dp(n);
  REP(i, n) dp.set(i, dp.get(max(l[i], 0), i) + (l[i] == -1));
  ModInt ans = 0;
  int y = 0;
  for (int i = n - 1; i >= 0; --i) {
    if (y == 0) ans += dp[i];
    y ^= a[i];
  }
  cout << ans << '\n';
  return 0;
}
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