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Solution: Cherry Pickup

Explore a dynamic programming solution that models the Cherry Pickup problem as two synchronized paths. Learn to use a 3D memoization table to track maximum cherries collected while navigating an n by n grid with obstacles. Understand the approach to optimize both forward and return trips efficiently in C++.

Statement

You are given an n×nn \times n grid representing a field of cherries. Each cell in the grid can have one of three possible values:

  • 00: An empty cell that can be walked through

  • 11: A cell containing a cherry that can be picked and then passed through

  • ...