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Solution: Cherry Pickup

Explore the dynamic programming solution to the Cherry Pickup problem, understanding how synchronized paths and memoization optimize cherry collection in a grid with obstacles. Learn to develop efficient recursive algorithms with a 3D memoization table to track and maximize cherries picked while navigating the grid's constraints.

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

  • ...