Dynamic ProgrammingEvidence Contributing

Grid / 2D Path DP

DP over a 2D grid where each cell's value depends on cells reachable by the allowed moves (down/right, etc.).

Practice Problems: 6
Difficulty: 0 Easy·5 Medium·1 Hard

Algorithmic Intuition & Recognition

The Grid / 2D Path DP technique is applied when tackling problems characterized by specific invariants in the problem state or constraints:

  • Core Strategy: DP over a 2D grid where each cell's value depends on cells reachable by the allowed moves (down/right, etc.).
  • When to use: Look for opportunities where repeated re-computation can be replaced by maintaining monotonic properties, state windows, or relational pointers.
  • Interview Signal: Demonstrating this pattern shows mastery of Dynamic Programming foundations, reducing worst-case algorithmic complexity.

Canonical Practice Problems

6 problems

Curated Sheets Containing This Pattern

Related Algorithmic Patterns