Step 1: The Green, Yellow, Red, Pink, Teal and Gray regions sit entirely in rows 4, 5, 6, 7, 8 and 9, so no other queen can go in those rows. The Orange and Blue regions sit entirely in rows 2 and 3, so no other queen can go in those rows. A queen in row 1, column 7 would leave the Blue region with no open square, so that square is out. A queen in row 5, column 1 would leave the Pink region with no open square, so that square is out. A queen in row 5, column 4 would leave the Green region with no open square, so that square is out. The Red, Pink, Teal and Gray regions sit entirely in rows 6, 7, 8 and 9, so no other queen can go in those rows. The Purple, Orange, Green, Yellow, Red, Pink, Teal and Gray regions sit entirely in columns 1, 2, 3, 4, 5, 6, 8 and 9, so no other queen can go in those columns. A queen in row 3, column 6 would leave the Blue region with no open square, so that square is out. The Orange, Green, Red and Gray regions sit entirely in columns 2, 3, 4 and 5, so no other queen can go in those columns. The Pink region sits entirely in column 1, so no other queen can go in column 1. A queen in row 7, column 3 would leave the Gray region with no open square, so that square is out. A queen in row 8, column 1 would leave the Gray region with no open square, so that square is out. A queen in row 8, column 4 would leave the Red region with no open square, so that square is out. The Green and Gray regions sit entirely in columns 2 and 3, so no other queen can go in those columns. Row 2 has only one open square left, so its queen goes in column 7 (Blue region) (R2C7).