I solve LinkedIn Queens #811 row by row on a 7×7 grid. 7 regions, 7 queens total. My final map: R1C1, R2C5, R3C7, R4C2, R5C4, R6C6, R7C3. 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 R1C1. Region 1 only touches row 1 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 2 at R2C5. Row 2, column 5 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 R3C7. Row 3, column 7 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 4 at R4C2. Row 4, column 2 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 R5C4. Row 5, column 4 is the forced queen once region 6, row, column, and touch rules are applied together. That clears a chunk of the grid via auto X marks.
I place queen 6 at R6C6. After eliminations, row 6 has one legal square left — column 6. That clears a chunk of the grid via auto X marks.
I place queen 7 at R7C3. After eliminations, row 7 has one legal square left — column 3. That clears a chunk of the grid via auto X marks.
Done — R1C1, R2C5, R3C7, R4C2, R5C4, R6C6, R7C3. 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.