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usaco-guide/content/6_Plat/Centroid.mdx
2020-06-28 12:03:46 -04:00

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---
id: centroid
title: "Centroid Decomposition"
author: Benjamin Qi
prerequisites:
- Silver - Depth First Search
description: "?"
frequency: 1
---
import { Problem } from "../models";
export const metadata = {
problems: {
general: [
new Problem("CF", "Ciel the Commander", "problemset/problem/321/C", "Easy", false, ["Centroid"]),
new Problem("YS", "Frequency Table of Tree Distance", "frequency_table_of_tree_distance", "Hard", false, ["Centroid", "FFT"], ""),
new Problem("DMOJ", "Bob Equilibrium", "dmopc19c7p6", "Hard", false, ["Centroid"], "tight time limit"),
new Problem("DMOJ", "Time Traveller Imaxblue", "tc19summerh", "Hard", false, ["Centroid"], ""),
new Problem("Plat", "At Large", "793", "Very Hard", false, ["Centroid"], "tight time limit"),
]
}
};
### Tutorial
<resources>
<resource source="Carpanese" title="Illustrated Intro to Centroid Decomposition" url="https://medium.com/carpanese/an-illustrated-introduction-to-centroid-decomposition-8c1989d53308" starred></resource>
<resource source="GFG" title="Centroid Decomposition of Tree" url="centroid-decomposition-of-tree"></resource>
</resources>
### Problems
<problems-list problems={metadata.problems.general} />
*Note:* Unfortunately, it seems like constant factor is especially important for DMOJ. :|