usaco-guide/content/3_Gold/5_Gold_MST.md at d2a7f6ad0f91f18ba1efd0cac4294cf56a31dd1d - a/usaco-guide - exogit

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Benjamin Qi 42e62865fd edit some descriptions

2020-06-04 20:28:32 -04:00

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prerequisites

/gold/mst

Minimum Spanning Trees

Benjamin Qi

5

Gold - Shortest Paths

Disjoint Set Union and Minimum Spanning Trees

Standard

Kattis Minimum Spanning Tree
- same as CSES Road Reparation

Tutorial

CPH 15 (Spanning Trees)
Prim's Algorithm
- cp-algo
- Similar to Dijkstra
Kruskal's Algorithm
- cp-algo 1
- cp-algo 2
- Requires "Disjoint Set Union" (DSU) data structure
  - CSAcademy Disjoint-Set
  - Topcoder Union Find
  - CPC.3
  - DSU Complexity Proofs (optional of course)
    - log*n
    - a(m,n)

USACO Gold Problems

MST
- Walk
  - Prim's is applicable, but the edge weights are special so you don't actually need to use an MST algo ...
- Fencedin
  - also special ...
DSU
- Mootube
  - same as CSES Road Construction
- Closing the Farm
- Favorite Colors
  - fairly tricky

Other Problems

Boruvka?

(add)