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Solution: Cherry Pickup

Explore how to apply dynamic programming to solve the Cherry Pickup problem by synchronizing two paths through an n×n grid. Learn to design a 3D memoization approach that efficiently computes the maximum cherries collected while navigating valid paths, ensuring you understand the time and space complexity of the solution.

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

  • ...