Minimum Operations to Remove Adjacent Ones in Matrix

Given an m×n binary matrix, you can remove ones using operations that delete adjacent 1s (per the problem's adjacency rules); compute the minimum number of operations required to clear all ones. The core challenge is to optimally sequence overlapping removals on a grid — typically solved by modeling the board as a graph/state space and applying bitmask DP, BFS over states, or graph matching/cover reductions to handle the exponential choices.