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usaco-guide/content/6_Plat/LC.mdx

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---
id: LC
title: "LineContainer"
author: Benjamin Qi
description: Convex Container
prerequisites:
- Platinum - Convex Hull
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frequency: 1
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---
## 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
- https://judge.yosupo.jp/problem/line_add_get_min
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- https://judge.yosupo.jp/problem/segment_add_get_min
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- [Bridges](https://csacademy.com/contest/archive/task/building-bridges/)
- direct application of LineContainer
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- [USACO Old Gold - Fencing](http://www.usaco.org/index.php?page=viewproblem2&cpid=534)
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(add ICPC probs)