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Archive · Queens #31

Queens #31 (October 26, 2026): solution and step-by-step

The 7×7 Medium puzzle from Monday, October 26, 2026. Play it first; the answer is folded below. Replays don't affect your streak.

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Queens #31 was the 7×7 medium board of Monday, October 26, 2026. Our deduction solver, the same one behind the hint button, finishes it in 21 steps without guessing: 18 follow straight from the rules (a queen's neighbours, a line that already has its queen, a line with one free cell left), 3 come from confinement (a region squeezed into one row or column, or several regions sharing the same rows), and none need a “what if” check. The regions range from 2 to 15 cells; the smallest is mint, and small regions are where the board opens up.

Queens #31 in numbers

Board7×7, Medium
Regions7, from 2 to 15 cells
Deduction steps21
Rule steps (neighbours, satisfied lines, last cell)18
Confinement steps3
“What if” contradictions0
Solver difficulty score5
How to start Queens #31: 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.

  1. Cross out 5 cells. Every free cell of the mint region is in column 1, so that region's queen must be there — the rest of column 1 is crossed out.

  2. Queen at row 6, column 2. The lime region has only one free cell left — that must be its queen.

  3. Cross out 5 cells. Queens can't touch, not even diagonally — the cells around this queen are crossed out.

  4. Cross out 4 cells. Row 6 already has its queen — the rest of it is crossed out.

  5. Cross out 4 cells. Column 2 already has its queen — the rest of it is crossed out.

  6. Cross out row 1, column 6. This cell touches every free cell of the gold region — a queen here would leave the gold region with no queen, so it's crossed out.

  7. Cross out 5 cells. The gold region and the orchid region all fit inside columns 6 and 7, so those 2 columns' queens are theirs — every other cell in columns 6 and 7 is crossed out.

  8. Queen at row 4, column 5. The coral region has only one free cell left — that must be its queen.

  9. Cross out 5 cells. Queens can't touch, not even diagonally — the cells around this queen are crossed out.

  10. Cross out 2 cells. Row 4 already has its queen — the rest of it is crossed out.

  11. Cross out 3 cells. Column 5 already has its queen — the rest of it is crossed out.

  12. Queen at row 5, column 7. Row 5 has only one free cell left — that must be its queen.

9 more steps follow the same pattern until the 7 queens are placed.

Queens #31 solution

Queens by row: row 1: column 3 (lavender); row 2: column 6 (gold); row 3: column 1 (mint); row 4: column 5 (coral); row 5: column 7 (orchid); row 6: column 2 (lime); row 7: column 4 (sky).

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