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Solution: Cherry Pickup

Explore the Cherry Pickup problem and understand how to use dynamic programming with memoization to find the maximum cherries collected on a round trip across a grid. This lesson helps you grasp complex state management, synchronize two paths, and optimize recursive solutions efficiently.

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

  • ...