How to Solve Count Fertile Pyramids in a Land Problem

A farmer has a rectangular grid of land with m rows and n columns that can be divided into unit cells. Each cell is either fertile (represented by a 1) or barren (represented by a 0). All cells outside the grid are considered barren. A pyramidal plot of land can be defined as a set of cells with the following criteria: An inverse pyramidal plot of land can be defined as a set of cells with similar criteria: Some examples of valid and invalid pyramidal (and inverse pyramidal) plots are shown below. Black cells indicate fertile cells. Given a 0-indexed m x n binary matrix grid representing the farmland, return the total number of pyramidal and inverse pyramidal plots that can be found in grid.