Efficient Connectivity DP for Grid Path Counting

Given the constraints where the grid height N is small (typically N ≤ 6) and the width M is large, a column-wise dynamic programming approach with state compression is the optimal strategy. The core challenge lies in efficiently tracking connectivity between cells across columns. Initial DP Formulation and Limitations A naive dynamic programmin ...

Posted on Wed, 04 Nov 2026 16:48:31 +0000 by tkm