Leetcode Problem 2088. Count Fertile Pyramids in a Land

2088. Count Fertile Pyramids in a Land

Leetcode Solutions

Dynamic Programming Approach for Counting Pyramidal Plots

  1. Initialize a DP table of the same dimensions as the grid, filled with zeros.
  2. Iterate over the grid from top to bottom and left to right for regular pyramids, and from bottom to top and left to right for inverse pyramids.
  3. For each cell (i, j), if the cell is fertile (i.e., grid[i][j] == 1), compute the height of the pyramid by taking the minimum of the heights of the pyramids formed by the three adjacent cells in the previous row (or next row for inverse pyramids) and adding one.
  4. Update the DP table with the computed height.
  5. Add the height of the pyramid minus one to the total count (since a single cell is not considered a pyramid).
  6. Repeat steps 2-5 for inverse pyramids by reversing the grid.
  7. Return the total count of pyramidal and inverse pyramidal plots.
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Brute Force Approach for Counting Pyramidal Plots

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