結果

問題 No.1142 XOR と XOR
ユーザー Imperi_NightImperi_Night
提出日時 2020-07-31 22:09:02
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 1,163 ms / 2,000 ms
コード長 4,763 bytes
コンパイル時間 1,397 ms
コンパイル使用メモリ 136,516 KB
実行使用メモリ 6,188 KB
最終ジャッジ日時 2023-08-07 22:03:00
合計ジャッジ時間 16,720 ms
ジャッジサーバーID
(参考情報)
judge14 / judge15
このコードへのチャレンジ(β)

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
4,380 KB
testcase_03 AC 935 ms
6,180 KB
testcase_04 AC 712 ms
5,352 KB
testcase_05 AC 591 ms
5,200 KB
testcase_06 AC 748 ms
5,856 KB
testcase_07 AC 1,163 ms
6,140 KB
testcase_08 AC 905 ms
6,188 KB
testcase_09 AC 893 ms
6,168 KB
testcase_10 AC 913 ms
6,160 KB
testcase_11 AC 2 ms
4,376 KB
testcase_12 AC 2 ms
4,376 KB
testcase_13 AC 1 ms
4,380 KB
testcase_14 AC 483 ms
4,636 KB
testcase_15 AC 471 ms
4,620 KB
testcase_16 AC 39 ms
4,384 KB
testcase_17 AC 872 ms
5,360 KB
testcase_18 AC 193 ms
4,380 KB
testcase_19 AC 741 ms
5,704 KB
testcase_20 AC 479 ms
4,700 KB
testcase_21 AC 293 ms
4,380 KB
testcase_22 AC 164 ms
4,376 KB
testcase_23 AC 691 ms
5,380 KB
testcase_24 AC 780 ms
5,636 KB
testcase_25 AC 459 ms
4,592 KB
testcase_26 AC 748 ms
5,672 KB
testcase_27 AC 598 ms
5,184 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 #

#line 1 "main.cpp"
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cctype>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstdint>
#include <cstdlib>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <memory>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <type_traits>
#include <unordered_map>
#include <utility>
#include <vector>

/* template start */

using i64 = std::int_fast64_t;
using u64 = std::uint_fast64_t;

#define rep(i, a, b) for (i64 i = (a); (i) < (b); (i)++)
#define all(i) i.begin(), i.end()

#ifdef LOCAL
#define debug(...)                                                    \
  std::cerr << "LINE: " << __LINE__ << "  [" << #__VA_ARGS__ << "]:", \
      debug_out(__VA_ARGS__)
#else
#define debug(...)
#endif

void debug_out() { std::cerr << std::endl; }

template <typename Head, typename... Tail>
void debug_out(Head h, Tail... t) {
  std::cerr << " " << h;
  if (sizeof...(t) > 0) std::cout << " :";
  debug_out(t...);
}

template <typename T1, typename T2>
std::ostream& operator<<(std::ostream& os, std::pair<T1, T2> pa) {
  return os << pa.first << " " << pa.second;
}

template <typename T>
std::ostream& operator<<(std::ostream& os, std::vector<T> vec) {
  for (std::size_t i = 0; i < vec.size(); i++)
    os << vec[i] << (i + 1 == vec.size() ? "" : " ");
  return os;
}

template <typename T1, typename T2>
inline bool chmax(T1& a, T2 b) {
  return a < b && (a = b, true);
}

template <typename T1, typename T2>
inline bool chmin(T1& a, T2 b) {
  return a > b && (a = b, true);
}

template <typename Num>
constexpr Num mypow(Num a, u64 b, Num id = 1) {
  if (b == 0) return id;
  Num x = id;
  while (b > 0) {
    if (b & 1) x *= a;
    a *= a;
    b >>= 1;
  }
  return x;
}

/* template end */

#line 2 "/home/imperi/cp-library/lib/utility/modint.hpp"

/*
  author:noshi91
  reference:https://noshi91.hatenablog.com/entry/2019/03/31/174006
            https://github.com/noshi91/Library/blob/master/other/modint.cpp

  1つめのmodintにoperator==,!=を追加したものです

  thx @noshi91!!
*/

#line 14 "/home/imperi/cp-library/lib/utility/modint.hpp"

template <std::uint_fast64_t Modulus>
class modint {
  using u64 = std::uint_fast64_t;

 public:
  u64 a;

  constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
  constexpr u64 &value() noexcept { return a; }
  constexpr const u64 &value() const noexcept { return a; }
  constexpr bool operator==(const modint rhs) const noexcept {
    return a == rhs.a;
  }
  constexpr bool operator!=(const modint rhs) const noexcept {
    return !(*this == rhs);
  }
  constexpr modint operator+(const modint rhs) const noexcept {
    return modint(*this) += rhs;
  }
  constexpr modint operator-(const modint rhs) const noexcept {
    return modint(*this) -= rhs;
  }
  constexpr modint operator*(const modint rhs) const noexcept {
    return modint(*this) *= rhs;
  }
  constexpr modint operator/(const modint rhs) const noexcept {
    return modint(*this) /= rhs;
  }
  constexpr modint &operator+=(const modint rhs) noexcept {
    a += rhs.a;
    if (a >= Modulus) {
      a -= Modulus;
    }
    return *this;
  }
  constexpr modint &operator-=(const modint rhs) noexcept {
    if (a < rhs.a) {
      a += Modulus;
    }
    a -= rhs.a;
    return *this;
  }
  constexpr modint &operator*=(const modint rhs) noexcept {
    a = a * rhs.a % Modulus;
    return *this;
  }
  constexpr modint &operator/=(modint rhs) noexcept {
    u64 exp = Modulus - 2;
    while (exp) {
      if (exp % 2) {
        *this *= rhs;
      }
      rhs *= rhs;
      exp /= 2;
    }
    return *this;
  }
};
#line 92 "main.cpp"

constexpr u64 MOD = 1000000007;
using mint = modint<MOD>;

int main() {
  std::cin.tie(nullptr);
  std::ios::sync_with_stdio(false);

  u64 n, m, k;
  std::cin >> n >> m >> k;

  std::vector<u64> a(n), b(m);

  for (auto&& e : a) std::cin >> e;
  for (auto&& e : b) std::cin >> e;

  constexpr u64 SIZE = 1024;

  mint ans = 0;

  rep(bit, 0, SIZE) {
    mint val = 1;
    {
      mint tmp = 0;
      std::vector<mint> cnt(SIZE, 0);
      cnt[0]=1;
      u64 prev = 0;
      rep(i, 0, n) {
        prev ^= a[i];
        tmp += cnt[prev ^ bit];
        cnt[prev] += 1;
      }

      if (bit < 10) debug(bit, tmp.value());

      val *= tmp;
    }

    {
      mint tmp = 0;
      std::vector<mint> cnt(SIZE, 0);
      cnt[0]=1;
      u64 prev = 0;
      rep(i, 0, m) {
        prev ^= b[i];
        tmp += cnt[prev ^ bit ^ k];
        cnt[prev] += 1;
      }

      val *= tmp;
    }

    ans += val;
  }

  std::cout << ans.value() << "\n";

  return 0;
}
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