Archive · Queens #40
Queens #40 (November 4, 2026): solution and step-by-step
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Queens #40 was the 8×8 hard board of Wednesday, November 4, 2026. Our deduction solver, the same one behind the hint button, finishes it in 26 steps without guessing: 19 follow straight from the rules (a queen's neighbours, a line that already has its queen, a line with one free cell left), 5 come from confinement (a region squeezed into one row or column, or several regions sharing the same rows), and 2 need a “what if” check: imagine a queen in a cell and watch some row, column or region run out of room. The regions range from 3 to 13 cells; the smallest is gold, and small regions are where the board opens up.
Queens #40 in numbers
| Board | 8×8, Hard |
| Regions | 8, from 3 to 13 cells |
| Deduction steps | 26 |
| Rule steps (neighbours, satisfied lines, last cell) | 19 |
| Confinement steps | 5 |
| “What if” contradictions | 2 |
| Solver difficulty score | 31 |
How to start Queens #40: the first 12 deductions
Each step is a deduction a person can make, in the order our solver found them. Rows and columns are counted from the top-left corner.
Cross out 5 cells. Every free cell of the gold region is in row 1, so that region's queen must be there — the rest of row 1 is crossed out.
Cross out 6 cells. Every free cell of the lavender region is in row 2, so that region's queen must be there — the rest of row 2 is crossed out.
Queen at row 3, column 6. The mint region has only one free cell left — that must be its queen.
Cross out 5 cells. Queens can't touch, not even diagonally — the cells around this queen are crossed out.
Cross out 5 cells. Row 3 already has its queen — the rest of it is crossed out.
Cross out 5 cells. Column 6 already has its queen — the rest of it is crossed out.
Cross out row 6, column 4. This cell touches every free cell of the orchid region — a queen here would leave the orchid region with no queen, so it's crossed out.
Cross out 6 cells. The coral region, the sky region and the orchid region all fit inside rows 4, 5, 6, so those 3 rows' queens are theirs — every other cell in rows 4, 5, 6 is crossed out.
Cross out row 4, column 8. A queen here forces another queen that leaves row 7 without one — so it's crossed out.
Cross out 2 cells. Every free cell of row 4 is in the coral region, so that region's queen must be in row 4 — its other cells are crossed out.
Cross out row 1, column 7. A queen here forces another queen that leaves the rose region without one — so it's crossed out.
Queen at row 1, column 5. Row 1 has only one free cell left — that must be its queen.
14 more steps follow the same pattern until the 8 queens are placed.
Queens #40 solution
Queens by row: row 1: column 5 (gold); row 2: column 1 (lavender); row 3: column 6 (mint); row 4: column 2 (coral); row 5: column 4 (orchid); row 6: column 7 (sky); row 7: column 3 (lime); row 8: column 8 (rose).
Back to the Queens archive, today's puzzle, or the rules and deductions used above.
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