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Advanced -> Simplex

Contest-time linear programming in the narrow max-form route maximize c^T x subject to Ax <= b and x >= 0.

  • Topic slug: advanced/simplex
  • Tutorial page: Open tutorial
  • Ladder page: Open ladder
  • Repo problems currently tagged here: 1
  • Repo companion pages: 4
  • Curated external problems: 2

Microtopics

  • linear-programming
  • simplex-method
  • phase-1-phase-2
  • continuous-optimization
  • resource-allocation-lp
  • tableau-pivoting

Learning Sources

Source Type
KACTL Simplex header Reference
ICPC World Finals 2016 Problem I Practice
KTH Finals 2016 Solutions Overview Reference

Practice Sources

Source Type
Kattis Cheese, If You Please Practice

Repo Companion Material

Material Type
Simplex hot sheet quick reference
Cheese, If You Please note flagship note
Optimization And Duality tutorial compare point
Template Library exact starter route starter route

Curated External Problems

Core

Problem Source Difficulty Context Style Prerequisites Tags Why it fits
Cheese, If You Please Kattis Medium-Hard Optimization, Linear Programming Modeling; Floating Point Linear Constraints; Continuous Variables Continuous Optimization; Resource Allocation; Blending The cleanest first simplex rep in the repo because the story is already one continuous blend-planning LP with one variable per product.

Challenge

Problem Source Difficulty Context Style Prerequisites Tags Why it fits
Road Times ICPC World Finals Very Hard Optimization, Linear Programming Modeling; Theory-Heavy Simplex; Shortest Paths; Optimization And Duality LP Modeling; Shortest Paths; Challenge A famous stretch problem where the LP layer is real contest substance, not just background theory.

Repo Problems

Code Title Fit Difficulty Pattern Note Solution
CHEESEIFYOUPLEASE Cheese, If You Please primary hard - Note Code

Regeneration

python3 scripts/generate_problem_catalog.py