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usaco-guide/content/6_Plat/Geo_Pri.mdx
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---
id: geo-pri
title: "Geometry Primitives"
author: Benjamin Qi
description: Basic setup for geometry problems and introduction to line sweep.
---
## Primitives
You should know basic operations like cross product and dot product. For platinum specifically, you should be fine as long as you know how to code **convex hull**.
### Tutorial
- [CPC.12](https://github.com/SuprDewd/T-414-AFLV/tree/master/12_geometry)
- basic geometry
- convex hulls
- polygon area
- point in polygon
- CPH 29 (Geometry), 30.1, 30.2 (Sweep line algorithms)
- [TopCoder - Basic Geometry Concepts](https://www.topcoder.com/community/competitive-programming/tutorials/geometry-concepts-basic-concepts/)
- [CF - Point Class](https://codeforces.com/blog/entry/48122)
- [C++ - std::complex](https://codeforces.com/blog/entry/22175)
- [cp-algo - Geometry: "Elementary Operations"](https://cp-algorithms.com/)
- [vlecomte - Geometry Handbook](https://codeforces.com/blog/entry/59129)
- [My Templates](https://github.com/bqi343/USACO/tree/master/Implementations/content/geometry%20(13)/Primitives)
### Problems
- Template Testing
- [yosupo: Sort Points by Arg](https://judge.yosupo.jp/problem/sort_points_by_argument)
- [Kattis Segment Distance](https://open.kattis.com/problems/segmentdistance)
- [Kattis Segment Intersection](https://open.kattis.com/problems/segmentintersection)
- [Kattis Point in Polygon](https://open.kattis.com/problems/pointinpolygon)
- [Kattis Polygon Area](https://open.kattis.com/problems/polygonarea)
- [Kattis Max Collinear](https://open.kattis.com/problems/maxcolinear)
- Misc
- [Arpa & Geo](http://codeforces.com/problemset/problem/851/B)
- [Tell Your World](http://codeforces.com/problemset/problem/849/B)
- [Gleb & Pizza](http://codeforces.com/problemset/problem/842/B)
- [Birthday Cake](https://open.kattis.com/problems/birthdaycake)
- [Racing Off Track](https://open.kattis.com/contests/acpc17open/problems/racingofftrack)
- [TopCoder Watchtower](https://community.topcoder.com/stat?c=problem_statement&pm=2014&rd=4685)
## Sweep Line
### Tutorial
- CPH 30
- [TopCoder Line Sweep](https://www.topcoder.com/community/competitive-programming/tutorials/line-sweep-algorithms/)
### Problems
- [Cow Steepchase II (Silver)](http://www.usaco.org/index.php?page=viewproblem2&cpid=943)
- :|
- [Kattis Closest Pair](https://open.kattis.com/problems/closestpair2)