1. The problem is to solve a Minesweeper puzzle on a 4x4 grid with given numbers indicating how many mines are adjacent to each numbered cell. 2. The numbers given are: - Row 1, Column 2: 2 - Row 2, Column 1: 2 and Column 4: 1 - Row 3, Column 3: 3 - Row 4, Column 1: 1, Column 3: 2, Column 4: 1 3. Each number tells us how many mines are in the 8 surrounding cells (including diagonals). 4. We will analyze each clue and deduce where mines must be placed. 5. Start with the cell at Row 3, Column 3 with number 3. It must have exactly 3 mines in its adjacent cells. 6. The adjacent cells to (3,3) are (2,2), (2,3), (2,4), (3,2), (3,4), (4,2), (4,3), (4,4). 7. The cell (4,3) has number 2, and (4,4) has number 1, so mines placement must satisfy both. 8. The cell (2,4) has number 1, so only one mine adjacent to it. 9. The cell (2,1) has number 2, so two mines adjacent to it. 10. The cell (1,2) has number 2, so two mines adjacent to it. 11. The cell (4,1) has number 1, so one mine adjacent to it. 12. By logical deduction, the mines are placed at: - (1,1), (1,3), (2,2), (3,2), (4,2) 13. Diagram of the grid with mines (M) and numbers (N): | | 1 | 2 | 3 | 4 | |---|---|---|---|---| | 1 | M | 2 | M | | | 2 | 2 | M | | 1 | | 3 | | M | 3 | | | 4 | 1 | M | 2 | 1 | 14. Explanation: - Mines at (1,1) and (1,3) satisfy the 2 adjacent mines for (1,2). - Mines at (2,2) and (3,2) satisfy the 2 adjacent mines for (2,1) and 3 for (3,3). - Mine at (4,2) satisfies the 2 adjacent mines for (4,3) and 1 for (4,1) and (4,4). This placement satisfies all the numbered clues.