Step 1: The Green and Yellow regions sit entirely in rows 1 and 2, so no other queen can go in those rows. The Purple, Orange, Yellow and Red regions sit entirely in columns 1, 2, 3 and 4, so no other queen can go in those columns. A queen in row 2, column 9 would leave the Blue region with no open square, so that square is out. The Green region sits entirely in row 1, so no other queen can go in row 1. The Purple, Yellow and Red regions sit entirely in columns 1, 2 and 3, so no other queen can go in those columns. A queen in row 3, column 2 would leave the Yellow region with no open square, so that square is out. The Red region sits entirely in column 1, so no other queen can go in column 1. The Purple region sits entirely in row 5, so no other queen can go in row 5. The Blue and Red regions sit entirely in rows 3 and 4, so no other queen can go in those rows. The Pink region sits entirely in column 5, so no other queen can go in column 5. A queen in row 6, column 5 would leave the Orange region with no open square, so that square is out. A queen in row 7, column 4 would leave the Pink 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 6, column 4 (R6C4).