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Solution: Cherry Pickup

Explore a dynamic programming approach to solve the Cherry Pickup problem where you find the maximum cherries collected on a round trip path across an n by n grid. Understand the use of memoization and how synchronized dual-path traversal simplifies the solution and optimizes performance.

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

  • ...