Step 1: The Blue region sits entirely in column 5, so no other queen can go in column 5. The Green region sits entirely in column 6, so no other queen can go in column 6. The Red region sits entirely in column 9, so no other queen can go in column 9. The Teal region sits entirely in row 7, so no other queen can go in row 7. The Gray region sits entirely in row 9, so no other queen can go in row 9. The Yellow, Pink, Teal and Gray regions sit entirely in columns 1, 2, 3 and 4, so no other queen can go in those columns. The Orange region sits entirely in column 7, so no other queen can go in column 7. A queen in row 2, column 5 would leave the Green region with no open square, so that square is out. A queen in row 1, column 7 would leave row 2 with no open square, so that square is out. A queen in row 2, column 6 would leave the Blue region with no open square, so that square is out. The Blue and Green regions sit entirely in rows 1 and 3, so no other queen can go in those rows. A queen in row 2, column 7 would leave the Green region with no open square, so that square is out. The Orange region has only one open square left, so its queen goes in row 4, column 7 (R4C7).