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---
id: syllabus
title: Syllabus
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author: Benjamin Qi
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---
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(outdated)
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Below, we've compiled some of the main topics for each division.
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This USACO guide will try to cover all of these topics. Note that USACO contest problems are not limited to just these topics, though _most_ of them should fall into one of the catgories listed below.
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# Other Resources
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- [USACO -> CPH Topics](https://github.com/bqi343/USACO/blob/master/Contests/USACO%20Links/USACO%20Topics.md)
- [Riya's website](https://www.vplanetcoding.com/courses)
- [IOI Syllabus](https://people.ksp.sk/~misof/ioi-syllabus/ioi-syllabus.pdf)
- [Darren's book](https://www.overleaf.com/project/5e73f65cde1d010001224d8a)
- [Division-Specific Categorization](https://github.com/bqi343/USACO/blob/master/Contests/USACO%20Links/Division-Specific/Silver.md)
- [Silver Categorization](https://docs.google.com/document/d/1ba2jr2PFrtxHuGfvdjYVKX-8VzkQAdhpiMLlpXxiAOM/edit)
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# Intro
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- [Introduction to Competitive Programming](https://thecodingwizard.github.io/usaco-training-2.0/Intro)
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- Contest Format
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- Choosing a Language
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- Practicing and Debugging
- Contest Strategies
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- [Prerequisites](https://thecodingwizard.github.io/usaco-training-2.0/Intro_Prerequisites)
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- [Introductory Problems](https://thecodingwizard.github.io/usaco-training-2.0/Intro_Problems)
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- Standard Containers Intro
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# Bronze
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- Simulation (just do what statement tells you to do)
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- ex. [The Lost Cow](http://usaco.org/index.php?page=viewproblem2&cpid=735)
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- Complete Search
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- ex. [Tracing](http://usaco.org/index.php?page=viewproblem2&cpid=1037)
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- Rectangle Geometry
- ex. [Billboard](http://usaco.org/index.php?page=viewproblem2&cpid=759)
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- "Observation"
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- basically everything else (requires more thought)
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- ex. [Mad Scientist](http://usaco.org/index.php?page=viewproblem2&cpid=1012)
# Silver
- Greedy
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- ex. [Lemonade Stand](http://usaco.org/index.php?page=viewproblem2&cpid=835)
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- Standard Containers
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- ex. [Convention II](http://usaco.org/index.php?page=viewproblem2&cpid=859)
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- Sorting
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- ex. [Counting Haybales](http://usaco.org/index.php?page=viewproblem2&cpid=666)
- Binary Search (BinSearch)
- ex. [Convention](http://usaco.org/index.php?page=viewproblem2&cpid=858)
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- Two Pointers (2P)
- ex. [Diamond Collector](http://usaco.org/index.php?page=viewproblem2&cpid=643)
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- Prefix Sums (Psum)
- ex. [Breed Counting](http://www.usaco.org/index.php?page=viewproblem2&cpid=572)
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- DFS
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- ex. [Switching on the Lights](http://www.usaco.org/index.php?page=viewproblem2&cpid=570)
- Occasionally, graph problems appear in bronze ...
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# Gold
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- Dynamic Programming (DP)
- ex. [Time is Mooney](http://www.usaco.org/index.php?page=viewproblem2&cpid=993)
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- Breadth First Search (BFS)
- ex. [Cow Navigation](http://www.usaco.org/index.php?page=viewproblem2&cpid=695)
- Shortest Path (SP)
- ex. [Milk Pumping](http://www.usaco.org/index.php?page=viewproblem2&cpid=969)
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- Minimum Spanning Tree (MST) & Disjoint Set Union (DSU)
- ex. [Fencedin](http://www.usaco.org/index.php?page=viewproblem2&cpid=623)
- Topological Sort (TopoSort)
- ex. [Timeline](http://www.usaco.org/index.php?page=viewproblem2&cpid=1017)
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- [Range Sum Queries with Point Updates](https://thecodingwizard.github.io/usaco-training-2.0/Gold_1DRQ)
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- ex. [Haircut](http://www.usaco.org/index.php?page=viewproblem2&cpid=1041)
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- Number Theory
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- ex. [Cow Poetry](http://usaco.org/index.php?page=viewproblem2&cpid=897)
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- Hashing (NOT COMMON)
- ex. [Cownomics](http://www.usaco.org/index.php?page=viewproblem2&cpid=741)
- Combinatorics (NOT COMMON)
- Principle of Inclusion and Exclusion (PIE)
- ex. [Cowpatibility](http://usaco.org/index.php?page=viewproblem2&cpid=862)
- Sliding Window (NOT COMMON)
- ex. [Haybale Feast](http://www.usaco.org/index.php?page=viewproblem2&cpid=767)
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# Platinum
Just a sampling of the many possible topics.
- Trees
- Lowest Common Ancestor (LCA)
- mostly platinum but may appear in gold as well
- ex. [cowland](http://www.usaco.org/index.php?page=viewproblem2&cpid=921)
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- Heavy-Light Decomposition (HLD)
- Tree Diameter
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- Range Queries
- Segment Tree
- possibly useful for gold
- Static Array Queries
- 2D
- Bitset
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- ex. [Lots of Triangles](http://www.usaco.org/index.php?page=viewproblem2&cpid=672)
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- Slope Trick
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- ex. [Landscaping](http://www.usaco.org/index.php?page=viewproblem2&cpid=650)
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- Fracturing Search
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- ex. [Robotic Cow Herd](http://www.usaco.org/index.php?page=viewproblem2&cpid=674)
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- Geometry
- Convex Hull
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- ignoring Cow Steeplechase II (Silver) ...