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Technique

Practice
Overview

Problem-solving techniques and methods

Practice
4×4 Board: Each Cell Borders Exactly One Opposite
Two Knight Scouts
4×4 Board: Six Black Cells with Even Row and Column Counts
8×8 Good Colouring: Find 16 Black Cells
4×4 Board: Each Cell Borders Exactly Two Opposite
6×6 Board: Three Colours in Every Three-Cell Strip
Alternating Local Extrema
R2-D2 Hamiltonian Path
Mutilated Chessboard Dominoes
Stormtrooper Shuffle
More practice problems →

Deeper topics

  • Bounding
  • Casework
  • Coloring
  • Construction
  • Contradiction
  • Extremal Principle
  • Invariant
  • Mathematical Induction
  • Methods
  • Pigeonhole Principle
  • Symmetry
Practice
4×4 Board: Each Cell Borders Exactly One Opposite
Two Knight Scouts
4×4 Board: Six Black Cells with Even Row and Column Counts
8×8 Good Colouring: Find 16 Black Cells
4×4 Board: Each Cell Borders Exactly Two Opposite
6×6 Board: Three Colours in Every Three-Cell Strip
Alternating Local Extrema
R2-D2 Hamiltonian Path
Mutilated Chessboard Dominoes
Stormtrooper Shuffle
More practice problems →

Deeper topics

  • Bounding
  • Casework
  • Coloring
  • Construction
  • Contradiction
  • Extremal Principle
  • Invariant
  • Mathematical Induction
  • Methods
  • Pigeonhole Principle
  • Symmetry