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Solution: Cherry Pickup

Explore how to solve the Cherry Pickup problem by applying dynamic programming to optimize the path of two travelers picking cherries in a grid. Learn to use memoization for efficient state management and to find the maximum cherries collected while navigating the grid forwards and backwards.

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

  • ...