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point_add_range_sum.hpp

#include "noya/point_add_range_sum.hpp"

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#ifndef NOYA_POINT_ADD_RANGE_SUM_HPP
#define NOYA_POINT_ADD_RANGE_SUM_HPP 1

#include "atcoder/fenwicktree.hpp"
#include <cmath>
#include <vector>

namespace noya {
template <class T> struct block {
  int V, sqrtV;

  block() {}
  block(const int &_V) {
    if (_V > 0) {
      build(_V);
    }
  }

  std::vector<T> point, blo;
  void build(const int &_V) {
    V = _V;
    sqrtV = sqrt(V);
    point.assign(V, 0);
    blo.assign(V / sqrtV + 1, 0);
  }

  void add(int x, T v) {
    assert(0 <= x && x < V);
    int bel = x / sqrtV;
    blo[bel] += v;
    point[x] += v;
  }

  T query(int x) const {
    assert(0 <= x && x <= V);
    T res = 0;
    int bel = x / sqrtV;
    for (int i = 0; i < bel; i++)
      res += blo[i];
    int start = bel * sqrtV;
    int end = x;
    for (int i = start; i < end; i++)
      res += point[i];
    return res;
  }

  /// @brief Sum of [l, r).
  T prod(int l, int r) const {
    assert(0 <= l && l <= r && r <= V);
    return query(r) - query(l);
  }
};

template <class T> struct fenwick : atcoder::fenwick_tree<T> {
  using atcoder::fenwick_tree<T>::fenwick_tree;
  using atcoder::fenwick_tree<T>::add;
  T query(int x) { return this->sum(0, x); }
  T prod(int l, int r) { return this->sum(l, r); }
};

} // namespace noya

#endif // NOYA_POINT_ADD_RANGE_SUM_HPP
#include <cassert>
#include <cmath>
#include <numeric>
#include <type_traits>
#include <vector>

namespace atcoder {

namespace internal {

#ifndef _MSC_VER
template <class T>
using is_signed_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value ||
                                  std::is_same<T, __int128>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using is_unsigned_int128 =
    typename std::conditional<std::is_same<T, __uint128_t>::value ||
                                  std::is_same<T, unsigned __int128>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using make_unsigned_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value,
                              __uint128_t,
                              unsigned __int128>;

template <class T>
using is_integral = typename std::conditional<std::is_integral<T>::value ||
                                                  is_signed_int128<T>::value ||
                                                  is_unsigned_int128<T>::value,
                                              std::true_type,
                                              std::false_type>::type;

template <class T>
using is_signed_int = typename std::conditional<(is_integral<T>::value &&
                                                 std::is_signed<T>::value) ||
                                                    is_signed_int128<T>::value,
                                                std::true_type,
                                                std::false_type>::type;

template <class T>
using is_unsigned_int =
    typename std::conditional<(is_integral<T>::value &&
                               std::is_unsigned<T>::value) ||
                                  is_unsigned_int128<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using to_unsigned = typename std::conditional<
    is_signed_int128<T>::value,
    make_unsigned_int128<T>,
    typename std::conditional<std::is_signed<T>::value,
                              std::make_unsigned<T>,
                              std::common_type<T>>::type>::type;

#else

template <class T> using is_integral = typename std::is_integral<T>;

template <class T>
using is_signed_int =
    typename std::conditional<is_integral<T>::value && std::is_signed<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using is_unsigned_int =
    typename std::conditional<is_integral<T>::value &&
                                  std::is_unsigned<T>::value,
                              std::true_type,
                              std::false_type>::type;

template <class T>
using to_unsigned = typename std::conditional<is_signed_int<T>::value,
                                              std::make_unsigned<T>,
                                              std::common_type<T>>::type;

#endif

template <class T>
using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;

template <class T>
using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;

template <class T> using to_unsigned_t = typename to_unsigned<T>::type;

}  // namespace internal

}  // namespace atcoder

namespace atcoder {

// Reference: https://en.wikipedia.org/wiki/Fenwick_tree
template <class T> struct fenwick_tree {
    using U = internal::to_unsigned_t<T>;

  public:
    fenwick_tree() : _n(0) {}
    explicit fenwick_tree(int n) : _n(n), data(n) {}

    void add(int p, T x) {
        assert(0 <= p && p < _n);
        p++;
        while (p <= _n) {
            data[p - 1] += U(x);
            p += p & -p;
        }
    }

    T sum(int l, int r) {
        assert(0 <= l && l <= r && r <= _n);
        return sum(r) - sum(l);
    }

  private:
    int _n;
    std::vector<U> data;

    U sum(int r) {
        U s = 0;
        while (r > 0) {
            s += data[r - 1];
            r -= r & -r;
        }
        return s;
    }
};

}  // namespace atcoder

namespace noya {
template <class T> struct block {
  int V, sqrtV;

  block() {}
  block(const int &_V) {
    if (_V > 0) {
      build(_V);
    }
  }

  std::vector<T> point, blo;
  void build(const int &_V) {
    V = _V;
    sqrtV = sqrt(V);
    point.assign(V, 0);
    blo.assign(V / sqrtV + 1, 0);
  }

  void add(int x, T v) {
    assert(0 <= x && x < V);
    int bel = x / sqrtV;
    blo[bel] += v;
    point[x] += v;
  }

  T query(int x) const {
    assert(0 <= x && x <= V);
    T res = 0;
    int bel = x / sqrtV;
    for (int i = 0; i < bel; i++)
      res += blo[i];
    int start = bel * sqrtV;
    int end = x;
    for (int i = start; i < end; i++)
      res += point[i];
    return res;
  }

  /// @brief Sum of [l, r).
  T prod(int l, int r) const {
    assert(0 <= l && l <= r && r <= V);
    return query(r) - query(l);
  }
};

template <class T> struct fenwick : atcoder::fenwick_tree<T> {
  using atcoder::fenwick_tree<T>::fenwick_tree;
  using atcoder::fenwick_tree<T>::add;
  T query(int x) { return this->sum(0, x); }
  T prod(int l, int r) { return this->sum(l, r); }
};

} // namespace noya