Naked Single
EasyWhen a region, row, or column has only one valid cell remaining, place a queen there. In the diagram, the yellow region only has one available cell left after eliminations — highlighted in red.
Place exactly one queen in each row
Place exactly one queen in each column
Place exactly one queen in each colored region
Queens cannot touch each other, not even diagonally (like kings in chess)
A solved 4×4 puzzle
Every puzzle can be solved using these five techniques, from easiest to hardest:
When a region, row, or column has only one valid cell remaining, place a queen there. In the diagram, the yellow region only has one available cell left after eliminations — highlighted in red.
A cell must have the queen because placing it elsewhere would block a row or column. In the diagram, the yellow region has two candidates. The dashed cell would block row 1, so the highlighted cell is required.
If placing a queen would block all cells in another region, eliminate that cell. In the diagram, placing at the highlighted cell (B2) would block all remaining cells in the red region, so it must be eliminated.
When N regions can only place queens in N rows/columns, those lines are "claimed". In the diagram, the blue and green regions can only use rows 4-5, so the red region's cell in row 4 (highlighted) can be eliminated.
When direct logic fails, test a hypothesis: assume a placement and follow forced moves. If you reach a contradiction (empty region/row/column), the assumption was wrong and that cell can be eliminated.
After placing each queen, immediately mark all cells it attacks as blocked.
Regions with fewer cells are more constrained and easier to solve first.
Marking blocked cells reveals patterns and makes solutions clearer.
When a region only fits in certain rows, look for locked sets opportunities.
Easy through Expert puzzles are fully solvable through logic. If stuck, use hints.
Easy through Expert are solvable through pure logic:
Larger boards (8×8+) are inherently more difficult due to increased complexity.