Add rectangle apply point get#39
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Pull request overview
長方形領域への作用（更新）をオンラインに処理し、任意の一点に掛かっている作用素を取得するための新しいデータ構造 rectangle_apply_point_get を追加するPRです。ライブラリとして 2D の range-apply / point-get を提供し、yosupo 検証とドキュメントも併せて整備しています。
Changes:
structure/rectangle_apply_point_get.hppを新規追加（長方形作用・一点取得）- ドキュメント
docs/structure/rectangle-apply-point-get.mdを新規追加 - yosupo
rectangle_add_point_getの verify テストを新規追加
Reviewed changes
Copilot reviewed 3 out of 3 changed files in this pull request and generated 3 comments.
| File | Description |
|---|---|
| test/verify/structure/yosupo-rectangle-add-point-get.test.cpp | yosupo の rectangle_add_point_get で新構造を検証するテストを追加 |
| structure/rectangle_apply_point_get.hpp | 長方形への作用を蓄積し、点クエリで取得するデータ構造本体を追加 |
| docs/structure/rectangle-apply-point-get.md | 追加したデータ構造の概要・API・計算量をドキュメント化 |
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| template <class F, F (*composition)(F, F), F (*id)(), class T = int> | ||
| struct rectangle_apply_point_get { |
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作用素側にTimeみたいな時刻情報をもたせれば可換にできる
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| 座標範囲を先に指定し、その範囲内の長方形作用と一点取得をオンラインに処理できます。 | ||
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| 作用素 `F` はモノイドとして扱います。 |
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作用素側にTimeみたいな時刻情報をもたせれば可換にできる
| F id() | ||
| ``` | ||
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| `composition(f, g)` は ACL の `lazy_segtree` と同じく、作用 `g` の後に作用 `f` を適用する合成、`id()` は単位元です。 |
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作用素側にTimeみたいな時刻情報をもたせれば可換にできる
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@codex 日本語でレビュー