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Solution: Cherry Pickup

Explore how to use dynamic programming to solve the Cherry Pickup problem involving an n by n grid with cherries and thorns. Learn to model two simultaneous paths to maximize cherry collection, employ memoization to optimize recursive calls, and understand the time and space complexity involved. This lesson helps you build problem-solving skills for complex grid traversal optimization tasks.

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

  • ...