I solve LinkedIn Queens #796 row by row on a 9×9 grid. 9 regions, 9 queens total. My final map: R1C2, R2C4, R3C9, R4C7, R5C5, R6C3, R7C6, R8C1, R9C8. X marks do most of the work before I commit each crown.
Before placing anything I mark X on every cell blocked by givens — then I hunt the tightest region. Several color regions span only a few cells — scan those regions first because they often force a queen into a single row or column.
I place queen 1 at R1C2. Row 1, column 2 is the forced queen once region 1, row, column, and touch rules are applied together. That clears a chunk of the grid via auto X marks.
I place queen 2 at R2C4. Row 2, column 4 is the forced queen once region 3, row, column, and touch rules are applied together. That clears a chunk of the grid via auto X marks.
I place queen 3 at R3C9. Region 2 only touches row 3 once on this board, so its queen must land at column 9. That clears a chunk of the grid via auto X marks.
I place queen 4 at R4C7. Row 4, column 7 is the forced queen once region 5, row, column, and touch rules are applied together. That clears a chunk of the grid via auto X marks.
I place queen 5 at R5C5. Region 8 only touches row 5 once on this board, so its queen must land at column 5. That clears a chunk of the grid via auto X marks.
I place queen 6 at R6C3. Row 6, column 3 is the forced queen once region 4, row, column, and touch rules are applied together. That clears a chunk of the grid via auto X marks.
I place queen 7 at R7C6. Column 6 is the only column still available for a queen in row 7. That clears a chunk of the grid via auto X marks.
I place queen 8 at R8C1. Region 9 only touches row 8 once on this board, so its queen must land at column 1. That clears a chunk of the grid via auto X marks.
I place queen 9 at R9C8. After eliminations, row 9 has one legal square left — column 8. That clears a chunk of the grid via auto X marks.
Done — R1C2, R2C4, R3C9, R4C7, R5C5, R6C3, R7C6, R8C1, R9C8. Every row and region checked twice. Several color regions span only a few cells — scan those regions first because they often force a queen into a single row or column.