Teaching LinkedIn Queens #803: start with region scans on this 9×9 board. 9 regions, sizes 1–26. Walk students through 9 placements ending at R1C4, R2C9, R3C1, R4C8, R5C5, R6C2, R7C6, R8C3, R9C7.
Board spotlight: Several color regions span only a few cells — scan those regions first because they often force a queen into a single row or column. Region sizes range from 1 to 26 cells — smaller regions often pin a queen to a single row intersection.
Lesson step 1: show why R1C4 is forced. Row 1, column 4 is the forced queen once region 2, row, column, and touch rules are applied together. Ask: which rows/columns/regions are now closed?
Lesson step 2: show why R2C9 is forced. Region 3 only touches row 2 once on this board, so its queen must land at column 9. Ask: which rows/columns/regions are now closed?
Lesson step 3: show why R3C1 is forced. Row 3, column 1 is the forced queen once region 1, row, column, and touch rules are applied together. Ask: which rows/columns/regions are now closed?
Lesson step 4: show why R4C8 is forced. Row 4, column 8 is the forced queen once region 5, row, column, and touch rules are applied together. Ask: which rows/columns/regions are now closed?
Lesson step 5: show why R5C5 is forced. Region 7 only touches row 5 once on this board, so its queen must land at column 5. Ask: which rows/columns/regions are now closed?
Lesson step 6: show why R6C2 is forced. Row 6, column 2 is the forced queen once region 6, row, column, and touch rules are applied together. Ask: which rows/columns/regions are now closed?
Lesson step 7: show why R7C6 is forced. Row 7, column 6 is the forced queen once region 9, row, column, and touch rules are applied together. Ask: which rows/columns/regions are now closed?
Lesson step 8: show why R8C3 is forced. After eliminations, row 8 has one legal square left — column 3. Ask: which rows/columns/regions are now closed?
Lesson step 9: show why R9C7 is forced. After eliminations, row 9 has one legal square left — column 7. Ask: which rows/columns/regions are now closed?
Recap: 9 queens, 9 regions, one solution path. Replay using region-first scanning.