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Solution: Cherry Pickup

Understand how to solve the Cherry Pickup problem using dynamic programming by simulating two synchronized paths on a grid to optimize cherry collection. This lesson explains the recursive strategy with memoization to efficiently explore valid routes while avoiding obstacles and double counting cherries.

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

  • ...