test/verify/aoj-2674.test.cpp

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• Last update: 2024-04-27 01:27:28+09:00
• Problem: http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2674

Depends on

• Succinct Indexable Dictionary(完備辞書) (structure/wavelet/succinct-indexable-dictionary.hpp)
• Wavelet Matrix(ウェーブレット行列) (structure/wavelet/wavelet-matrix.hpp)
• template/template.hpp

Code

// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2674

#include "../../template/template.hpp"

#include "../../structure/wavelet/wavelet-matrix.hpp"

int main() {
  int N, Q;
  cin >> N;
  vector< int > X(N);
  for(int i = 0; i < N; i++) {
    cin >> X[i];
    X[i] += 5e8;
  }
  CompressedWaveletMatrix< int, 30 > matrix(X);
  cin >> Q;
  while(Q--) {
    int L, R, E;
    cin >> L >> R >> E;
    --L, --R;
    cout << (R - L + 1) - matrix.range_freq(L, R + 1, min(X[L], X[R]) - E, max(X[L], X[R]) + E + 1) << "\n";
  }
}

#line 1 "test/verify/aoj-2674.test.cpp"
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2674

#line 1 "template/template.hpp"
#include <bits/stdc++.h>

using namespace std;

using int64 = long long;

const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;

struct IoSetup {
  IoSetup() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    cerr << fixed << setprecision(10);
  }
} iosetup;

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

template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
  is >> p.first >> p.second;
  return is;
}

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

template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
  for (T &in : v) is >> in;
  return is;
}

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 T = int64>
vector<T> make_v(size_t a) {
  return vector<T>(a);
}

template <typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) {
  return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}

template <typename T, typename V>
typename enable_if<is_class<T>::value == 0>::type fill_v(T &t, const V &v) {
  t = v;
}

template <typename T, typename V>
typename enable_if<is_class<T>::value != 0>::type fill_v(T &t, const V &v) {
  for (auto &e : t) fill_v(e, v);
}

template <typename F>
struct FixPoint : F {
  explicit FixPoint(F &&f) : F(forward<F>(f)) {}

  template <typename... Args>
  decltype(auto) operator()(Args &&...args) const {
    return F::operator()(*this, forward<Args>(args)...);
  }
};

template <typename F>
inline decltype(auto) MFP(F &&f) {
  return FixPoint<F>{forward<F>(f)};
}
#line 4 "test/verify/aoj-2674.test.cpp"

#line 1 "structure/wavelet/succinct-indexable-dictionary.hpp"
/**
 * @brief Succinct Indexable Dictionary(完備辞書)
 */
struct SuccinctIndexableDictionary {
  size_t length;
  size_t blocks;
  vector<unsigned> bit, sum;

  SuccinctIndexableDictionary() = default;

  SuccinctIndexableDictionary(size_t length)
      : length(length), blocks((length + 31) >> 5) {
    bit.assign(blocks, 0U);
    sum.assign(blocks, 0U);
  }

  void set(int k) { bit[k >> 5] |= 1U << (k & 31); }

  void build() {
    sum[0] = 0U;
    for (int i = 1; i < blocks; i++) {
      sum[i] = sum[i - 1] + __builtin_popcount(bit[i - 1]);
    }
  }

  bool operator[](int k) { return (bool((bit[k >> 5] >> (k & 31)) & 1)); }

  int rank(int k) {
    return (sum[k >> 5] +
            __builtin_popcount(bit[k >> 5] & ((1U << (k & 31)) - 1)));
  }

  int rank(bool val, int k) { return (val ? rank(k) : k - rank(k)); }
};
#line 2 "structure/wavelet/wavelet-matrix.hpp"

/*
 * @brief Wavelet Matrix(ウェーブレット行列)
 *
 */
template <typename T, int MAXLOG>
struct WaveletMatrix {
  size_t length;
  SuccinctIndexableDictionary matrix[MAXLOG];
  int mid[MAXLOG];

  WaveletMatrix() = default;

  WaveletMatrix(vector<T> v) : length(v.size()) {
    vector<T> l(length), r(length);
    for (int level = MAXLOG - 1; level >= 0; level--) {
      matrix[level] = SuccinctIndexableDictionary(length + 1);
      int left = 0, right = 0;
      for (int i = 0; i < length; i++) {
        if (((v[i] >> level) & 1)) {
          matrix[level].set(i);
          r[right++] = v[i];
        } else {
          l[left++] = v[i];
        }
      }
      mid[level] = left;
      matrix[level].build();
      v.swap(l);
      for (int i = 0; i < right; i++) {
        v[left + i] = r[i];
      }
    }
  }

  pair<int, int> succ(bool f, int l, int r, int level) {
    return {matrix[level].rank(f, l) + mid[level] * f,
            matrix[level].rank(f, r) + mid[level] * f};
  }

  // v[k]
  T access(int k) {
    T ret = 0;
    for (int level = MAXLOG - 1; level >= 0; level--) {
      bool f = matrix[level][k];
      if (f) ret |= T(1) << level;
      k = matrix[level].rank(f, k) + mid[level] * f;
    }
    return ret;
  }

  T operator[](const int &k) { return access(k); }

  // count i s.t. (0 <= i < r) && v[i] == x
  int rank(const T &x, int r) {
    int l = 0;
    for (int level = MAXLOG - 1; level >= 0; level--) {
      tie(l, r) = succ((x >> level) & 1, l, r, level);
    }
    return r - l;
  }

  // k-th(0-indexed) smallest number in v[l,r)
  T kth_smallest(int l, int r, int k) {
    assert(0 <= k && k < r - l);
    T ret = 0;
    for (int level = MAXLOG - 1; level >= 0; level--) {
      int cnt = matrix[level].rank(false, r) - matrix[level].rank(false, l);
      bool f = cnt <= k;
      if (f) {
        ret |= T(1) << level;
        k -= cnt;
      }
      tie(l, r) = succ(f, l, r, level);
    }
    return ret;
  }

  // k-th(0-indexed) largest number in v[l,r)
  T kth_largest(int l, int r, int k) {
    return kth_smallest(l, r, r - l - k - 1);
  }

  // count i s.t. (l <= i < r) && (v[i] < upper)
  int range_freq(int l, int r, T upper) {
    int ret = 0;
    for (int level = MAXLOG - 1; level >= 0; level--) {
      bool f = ((upper >> level) & 1);
      if (f) ret += matrix[level].rank(false, r) - matrix[level].rank(false, l);
      tie(l, r) = succ(f, l, r, level);
    }
    return ret;
  }

  // count i s.t. (l <= i < r) && (lower <= v[i] < upper)
  int range_freq(int l, int r, T lower, T upper) {
    return range_freq(l, r, upper) - range_freq(l, r, lower);
  }

  // max v[i] s.t. (l <= i < r) && (v[i] < upper)
  T prev_value(int l, int r, T upper) {
    int cnt = range_freq(l, r, upper);
    return cnt == 0 ? T(-1) : kth_smallest(l, r, cnt - 1);
  }

  // min v[i] s.t. (l <= i < r) && (lower <= v[i])
  T next_value(int l, int r, T lower) {
    int cnt = range_freq(l, r, lower);
    return cnt == r - l ? T(-1) : kth_smallest(l, r, cnt);
  }
};

template <typename T, int MAXLOG>
struct CompressedWaveletMatrix {
  WaveletMatrix<int, MAXLOG> mat;
  vector<T> ys;

  CompressedWaveletMatrix(const vector<T> &v) : ys(v) {
    sort(begin(ys), end(ys));
    ys.erase(unique(begin(ys), end(ys)), end(ys));
    vector<int> t(v.size());
    for (int i = 0; i < v.size(); i++) t[i] = get(v[i]);
    mat = WaveletMatrix<int, MAXLOG>(t);
  }

  inline int get(const T &x) {
    return lower_bound(begin(ys), end(ys), x) - begin(ys);
  }

  T access(int k) { return ys[mat.access(k)]; }

  T operator[](const int &k) { return access(k); }

  int rank(const T &x, int r) {
    auto pos = get(x);
    if (pos == ys.size() || ys[pos] != x) return 0;
    return mat.rank(pos, r);
  }

  T kth_smallest(int l, int r, int k) { return ys[mat.kth_smallest(l, r, k)]; }

  T kth_largest(int l, int r, int k) { return ys[mat.kth_largest(l, r, k)]; }

  int range_freq(int l, int r, T upper) {
    return mat.range_freq(l, r, get(upper));
  }

  int range_freq(int l, int r, T lower, T upper) {
    return mat.range_freq(l, r, get(lower), get(upper));
  }

  T prev_value(int l, int r, T upper) {
    auto ret = mat.prev_value(l, r, get(upper));
    return ret == -1 ? T(-1) : ys[ret];
  }

  T next_value(int l, int r, T lower) {
    auto ret = mat.next_value(l, r, get(lower));
    return ret == -1 ? T(-1) : ys[ret];
  }
};
#line 6 "test/verify/aoj-2674.test.cpp"

int main() {
  int N, Q;
  cin >> N;
  vector< int > X(N);
  for(int i = 0; i < N; i++) {
    cin >> X[i];
    X[i] += 5e8;
  }
  CompressedWaveletMatrix< int, 30 > matrix(X);
  cin >> Q;
  while(Q--) {
    int L, R, E;
    cin >> L >> R >> E;
    --L, --R;
    cout << (R - L + 1) - matrix.range_freq(L, R + 1, min(X[L], X[R]) - E, max(X[L], X[R]) + E + 1) << "\n";
  }
}

Test cases

Env	Name	Status	Elapsed	Memory
g++	00_sample_00.in	AC	7 ms	4 MB
g++	00_sample_01.in	AC	7 ms	4 MB
g++	00_sample_02.in	AC	7 ms	4 MB
g++	10_randomsmall_00.in	AC	7 ms	4 MB
g++	10_randomsmall_01.in	AC	8 ms	4 MB
g++	10_randomsmall_02.in	AC	8 ms	4 MB
g++	10_randomsmall_03.in	AC	7 ms	4 MB
g++	10_randomsmall_04.in	AC	8 ms	4 MB
g++	10_randomsmall_05.in	AC	8 ms	4 MB
g++	10_randomsmall_06.in	AC	8 ms	4 MB
g++	10_randomsmall_07.in	AC	7 ms	4 MB
g++	10_randomsmall_08.in	AC	7 ms	4 MB
g++	10_randomsmall_09.in	AC	8 ms	4 MB
g++	20_random_00.in	AC	62 ms	5 MB
g++	20_random_01.in	AC	68 ms	5 MB
g++	20_random_02.in	AC	60 ms	6 MB
g++	20_random_03.in	AC	121 ms	6 MB
g++	20_random_04.in	AC	49 ms	5 MB
g++	20_random_05.in	AC	126 ms	6 MB
g++	20_random_06.in	AC	33 ms	5 MB
g++	20_random_07.in	AC	117 ms	5 MB
g++	20_random_08.in	AC	96 ms	6 MB
g++	20_random_09.in	AC	23 ms	4 MB
g++	80_tirivial_00.in	AC	8 ms	4 MB
g++	90_max_00.in	AC	159 ms	6 MB
g++	90_max_01.in	AC	158 ms	6 MB
g++	90_max_challenge_00.in	AC	146 ms	6 MB
g++	90_max_challenge_01.in	AC	145 ms	6 MB
g++	90_max_challenge_02.in	AC	149 ms	6 MB
g++	90_max_challenge_03.in	AC	149 ms	6 MB
g++	90_max_challenge_04.in	AC	146 ms	6 MB
clang++	00_sample_00.in	AC	7 ms	4 MB
clang++	00_sample_01.in	AC	7 ms	4 MB
clang++	00_sample_02.in	AC	7 ms	4 MB
clang++	10_randomsmall_00.in	AC	8 ms	4 MB
clang++	10_randomsmall_01.in	AC	8 ms	4 MB
clang++	10_randomsmall_02.in	AC	7 ms	4 MB
clang++	10_randomsmall_03.in	AC	7 ms	4 MB
clang++	10_randomsmall_04.in	AC	8 ms	4 MB
clang++	10_randomsmall_05.in	AC	7 ms	4 MB
clang++	10_randomsmall_06.in	AC	8 ms	4 MB
clang++	10_randomsmall_07.in	AC	7 ms	4 MB
clang++	10_randomsmall_08.in	AC	7 ms	4 MB
clang++	10_randomsmall_09.in	AC	7 ms	4 MB
clang++	20_random_00.in	AC	59 ms	5 MB
clang++	20_random_01.in	AC	65 ms	5 MB
clang++	20_random_02.in	AC	57 ms	6 MB
clang++	20_random_03.in	AC	121 ms	6 MB
clang++	20_random_04.in	AC	47 ms	5 MB
clang++	20_random_05.in	AC	128 ms	6 MB
clang++	20_random_06.in	AC	32 ms	5 MB
clang++	20_random_07.in	AC	117 ms	5 MB
clang++	20_random_08.in	AC	96 ms	6 MB
clang++	20_random_09.in	AC	22 ms	4 MB
clang++	80_tirivial_00.in	AC	7 ms	4 MB
clang++	90_max_00.in	AC	174 ms	6 MB
clang++	90_max_01.in	AC	157 ms	6 MB
clang++	90_max_challenge_00.in	AC	141 ms	6 MB
clang++	90_max_challenge_01.in	AC	141 ms	6 MB
clang++	90_max_challenge_02.in	AC	144 ms	6 MB
clang++	90_max_challenge_03.in	AC	142 ms	6 MB
clang++	90_max_challenge_04.in	AC	141 ms	6 MB

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