Design OOD for probabilistic Minesweeper

Design an object-oriented Minesweeper game. The board is a grid of cells. During initialization, each cell is passed a parameter prob indicating the probability that the cell is a mine; explain how these per-cell probabilities are used to generate the initial mine layout and initialize cell states. Define the core classes (e.g., Game, Board, Cell) and their responsibilities, the relationships among them, and the public APIs to (a) print the current board state and (b) process a user click. Specify expected state transitions for a click at a high level (lose on mine, otherwise reveal logic handled by algorithms), handling of invalid or duplicate clicks, and how the design supports maintainability and testing.