48 lines
2.2 KiB
Text
48 lines
2.2 KiB
Text
---
|
|
id: hull
|
|
title: "Convex Hull"
|
|
author: Benjamin Qi
|
|
description: Smallest convex polygon containing a set of points on a grid.
|
|
prerequisites:
|
|
- Platinum - Geometry Primitives
|
|
---
|
|
|
|
## [Convex Hull](https://en.wikipedia.org/wiki/Convex_hull_algorithms)
|
|
|
|
- [Kattis Convex Hull](https://open.kattis.com/problems/convexhull)
|
|
|
|
### Tutorial
|
|
|
|
- Graham Scan
|
|
- [cp-algo](https://cp-algorithms.com/geometry/grahams-scan-convex-hull.html)
|
|
- [My Implementation](https://github.com/bqi343/USACO/blob/master/Implementations/content/geometry%20(13)/Polygons/ConvexHull2.h)
|
|
- Monotone Chain
|
|
- CPH 30.3 (brief)
|
|
- [Wikipedia](https://en.wikibooks.org/wiki/Algorithm_Implementation/Geometry/Convex_hull/Monotone_chain)
|
|
- [My Implementation](https://github.com/bqi343/USACO/blob/master/Implementations/content/geometry%20(13)/Polygons/ConvexHull%20(13.2).h)
|
|
|
|
### Problems
|
|
|
|
- [USACO Plat - Balance Beam](http://www.usaco.org/index.php?page=viewproblem2&cpid=864)
|
|
- quite easy (but make sure to avoid precision issues)
|
|
- [USACO Plat - Falling Portals](http://www.usaco.org/index.php?page=viewproblem2&cpid=998)
|
|
- [USACO Old Gold - Fencing](http://www.usaco.org/index.php?page=viewproblem2&cpid=534)
|
|
- [USACO Old Gold - Cow Curling](http://www.usaco.org/index.php?page=viewproblem2&cpid=382)
|
|
- [Kattis Fence Orthogonality](https://open.kattis.com/problems/fenceortho)
|
|
- [AGC 44 Random Pawn](https://atcoder.jp/contests/agc044/tasks/agc044_e)
|
|
- Generalization of "Balance Beam"
|
|
|
|
Minkowski addition?
|
|
|
|
## Half-Plane Intersection / Convex Stuff
|
|
|
|
- [Blogewoosh (Half-Plane Intersection w/ Ternary Search)](https://codeforces.com/blog/entry/61710)
|
|
- [retrograd Half-Plane Intersection](https://codeforces.com/blog/entry/61710?#comment-457662)
|
|
- [Petr (Linear Half-Plane Intersection)](https://petr-mitrichev.blogspot.com/2016/07/a-half-plane-week.html)
|
|
- [KACTL LineContainer](https://github.com/kth-competitive-programming/kactl/blob/master/content/data-structures/LineContainer.h)
|
|
- [Lichao Segment Tree](http://codeforces.com/blog/entry/51275?#comment-351510)
|
|
|
|
### Problems
|
|
|
|
- [Bridges](https://csacademy.com/contest/archive/task/building-bridges/)
|
|
- direct application of LineContainer
|