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#include "structure/others/abstract-binary-indexed-tree.hpp"
/**
* @brief Abstract Binary Indexed Tree(抽象化BIT)
*/
template <typename T, typename F>
struct AbstractBinaryIndexedTree {
private:
int n;
vector<T> data;
const F f;
const T e;
public:
AbstractBinaryIndexedTree() = default;
explicit AbstractBinaryIndexedTree(int n, const F f, const T &e)
: n(n), f(f), e(e) {
data.assign(n + 1, e);
}
explicit AbstractBinaryIndexedTree(const vector<T> &v, const F f, const T &e)
: AbstractBinaryIndexedTree((int)v.size(), f, e) {
build(v);
}
void build(const vector<T> &v) {
assert(n == (int)v.size());
for (int i = 1; i <= n; i++) data[i] = v[i - 1];
for (int i = 1; i <= n; i++) {
int j = i + (i & -i);
if (j <= n) data[j] = f(data[j], data[i]);
}
}
void apply(int k, const T &x) {
for (++k; k <= n; k += k & -k) data[k] = f(data[k], x);
}
T prod(int r) const {
T ret{e};
for (; r > 0; r -= r & -r) ret = f(ret, data[r]);
return ret;
}
};
template <typename T, typename F>
AbstractBinaryIndexedTree<T, F> get_abstract_binary_indexed_tree(int n,
const F &f,
const T &e) {
return AbstractBinaryIndexedTree{n, f, e};
}
template <typename T, typename F>
AbstractBinaryIndexedTree<T, F> get_abstract_binary_indexed_tree(
const vector<T> &v, const F &f, const T &e) {
return AbstractBinaryIndexedTree{v, f, e};
}
#line 1 "structure/others/abstract-binary-indexed-tree.hpp"
/**
* @brief Abstract Binary Indexed Tree(抽象化BIT)
*/
template <typename T, typename F>
struct AbstractBinaryIndexedTree {
private:
int n;
vector<T> data;
const F f;
const T e;
public:
AbstractBinaryIndexedTree() = default;
explicit AbstractBinaryIndexedTree(int n, const F f, const T &e)
: n(n), f(f), e(e) {
data.assign(n + 1, e);
}
explicit AbstractBinaryIndexedTree(const vector<T> &v, const F f, const T &e)
: AbstractBinaryIndexedTree((int)v.size(), f, e) {
build(v);
}
void build(const vector<T> &v) {
assert(n == (int)v.size());
for (int i = 1; i <= n; i++) data[i] = v[i - 1];
for (int i = 1; i <= n; i++) {
int j = i + (i & -i);
if (j <= n) data[j] = f(data[j], data[i]);
}
}
void apply(int k, const T &x) {
for (++k; k <= n; k += k & -k) data[k] = f(data[k], x);
}
T prod(int r) const {
T ret{e};
for (; r > 0; r -= r & -r) ret = f(ret, data[r]);
return ret;
}
};
template <typename T, typename F>
AbstractBinaryIndexedTree<T, F> get_abstract_binary_indexed_tree(int n,
const F &f,
const T &e) {
return AbstractBinaryIndexedTree{n, f, e};
}
template <typename T, typename F>
AbstractBinaryIndexedTree<T, F> get_abstract_binary_indexed_tree(
const vector<T> &v, const F &f, const T &e) {
return AbstractBinaryIndexedTree{v, f, e};
}