Queens answer. #921

Solved queens board for puzzle 921. The complete text solution follows below.

Queen positions

Rows and columns below start at 1, from the top left.

  1. Row 1: column 7.
  2. Row 2: column 5.
  3. Row 3: column 8.
  4. Row 4: column 3.
  5. Row 5: column 9.
  6. Row 6: column 2.
  7. Row 7: column 4.
  8. Row 8: column 6.
  9. Row 9: column 1.

Why it works

The small region in row 1 spans columns 6–7, so its queen must be in that row; the solution chooses column 7. Reading down the nine rows, the queen columns are 7, 5, 8, 3, 9, 2, 4, 6 and 1. Each column appears once and the queens occupy nine different coloured regions. Neighbouring rows differ by at least two columns, so none of the queens touch diagonally.

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