algo

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:heavy_check_mark: 領域木 (lib/binary_tree/range_tree.hpp)

Depends on

Verified with

Code

#pragma once
#include <algorithm>
#include <cassert>
#include <iterator>
#include <utility>
#include "segtree/segment_tree.hpp"

/// @brief 領域木
/// @see https://hitonanode.github.io/cplib-cpp/segmenttree/rangetree.hpp.html
template <class M, class T = int>
struct range_tree {
  private:
    using Pt = std::pair<T, T>;
    using value_type = typename M::value_type;

  public:
    range_tree() = default;

    void add(T x, T y) noexcept { _pts.emplace_back(x, y); }

    void build() {
        std::sort(_pts.begin(), _pts.end());
        _pts.erase(std::unique(_pts.begin(), _pts.end()), _pts.end());
        _size = _pts.size();

        _range2yxs.resize(_size * 2);
        for (int i = 0; i < _size; i++) _range2yxs[_size + i] = {{_pts[i].second, _pts[i].first}};
        for (int i = _size - 1; i > 0; i--) {
            auto &lch = _range2yxs[i * 2];
            auto &rch = _range2yxs[i * 2 + 1];
            std::merge(lch.begin(), lch.end(), rch.begin(), rch.end(), std::back_inserter(_range2yxs[i]));
            _range2yxs[i].erase(std::unique(_range2yxs[i].begin(), _range2yxs[i].end()), _range2yxs[i].end());
        }
        for (const auto &v : _range2yxs) segtrees.emplace_back(v.size());
    }

    void set(T x, T y, value_type val) {
        int i = std::distance(_pts.begin(), std::lower_bound(_pts.begin(), _pts.end(), Pt{x, y}));
        assert(i < _size && _pts[i] == std::make_pair(x, y));
        for (i += _size; i; i >>= 1) set(i, {x, y}, val);
    }

    value_type prod(T xl, T yl, T xr, T yr) const {
        auto comp = [](const Pt &l, const Pt &r) { return l.first < r.first; };
        int l = _size + std::distance(_pts.begin(), std::lower_bound(_pts.begin(), _pts.end(), Pt{xl, yr}, comp));
        int r = _size + std::distance(_pts.begin(), std::lower_bound(_pts.begin(), _pts.end(), Pt{xr, yr}, comp));
        value_type res = M::id();
        while (l < r) {
            if (l & 1) res = M::op(res, prod(l++, yl, yr));
            if (r & 1) res = M::op(res, prod(--r, yl, yr));
            l >>= 1, r >>= 1;
        }
        return res;
    }
    value_type get(T x, T y) const {
        int i = std::distance(_pts.begin(), std::lower_bound(_pts.begin(), _pts.end(), Pt{x, y}));
        return i < _size && _pts[i] == std::make_pair(x, y) ? segtrees[_size + i].get(0) : M::id();
    }

  private:
    int _size;
    std::vector<Pt> _pts;
    std::vector<std::vector<Pt>> _range2yxs;
    std::vector<segment_tree<M>> segtrees;

    void set(int v, Pt p, value_type val) {
        auto i = std::distance(_range2yxs[v].begin(),
                               std::lower_bound(_range2yxs[v].begin(), _range2yxs[v].end(), Pt{p.second, p.first}));
        segtrees[v].set(i, val);
    }

    value_type prod(int v, T yl, T yr) const {
        auto comp = [&](const Pt &l, const Pt &r) { return l.first < r.first; };
        auto il = std::distance(_range2yxs[v].begin(),
                                std::lower_bound(_range2yxs[v].begin(), _range2yxs[v].end(), Pt{yl, yl}, comp));
        auto ir = std::distance(_range2yxs[v].begin(),
                                std::lower_bound(_range2yxs[v].begin(), _range2yxs[v].end(), Pt{yr, yr}, comp));
        return segtrees[v].prod(il, ir);
    }
};
Traceback (most recent call last):
  File "/home/runner/.local/lib/python3.12/site-packages/competitive_verifier/oj/resolver.py", line 291, in resolve
    bundled_code = language.bundle(path, basedir=basedir)
                   ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/home/runner/.local/lib/python3.12/site-packages/competitive_verifier/oj/verify/languages/cplusplus.py", line 242, in bundle
    bundler.update(path)
  File "/home/runner/.local/lib/python3.12/site-packages/competitive_verifier/oj/verify/languages/cplusplus_bundle.py", line 479, in update
    self._resolve(pathlib.Path(included), included_from=path)
  File "/home/runner/.local/lib/python3.12/site-packages/competitive_verifier/oj/verify/languages/cplusplus_bundle.py", line 286, in _resolve
    raise BundleErrorAt(path, -1, "no such header")
competitive_verifier.oj.verify.languages.cplusplus_bundle.BundleErrorAt: segtree/segment_tree.hpp: line -1: no such header
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