I solve Queens Level 1 row by row on a 5×5 grid. 5 regions, 5 queens total. My final map: R1C4, R2C2, R3C5, R4C3, R5C1. 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 R1C4. Region 2 only touches row 1 once on this board, so its queen must land at column 4. That clears a chunk of the grid via auto X marks.
I place queen 2 at R2C2. Row 2, 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 3 at R3C5. Region 3 only touches row 3 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 4 at R4C3. Row 4, column 3 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 R5C1. After eliminations, row 5 has one legal square left — column 1. That clears a chunk of the grid via auto X marks.
Done — R1C4, R2C2, R3C5, R4C3, R5C1. 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.