The full logical solve of the hard Queens for September 22 to September 28, 2026, 10 × 10. 15 steps, 4 techniques, no guessing. Step through it, or jump to any step below.
The region at row 5, column 1 has one square left that can hold its queen, at row 5, column 1. Its queen goes there.
The region at row 2, column 10 has one square left that can hold its queen, at row 2, column 10. Its queen goes there.
The region at row 2, column 4 has one square left that can hold its queen, at row 3, column 4. Its queen goes there.
Every open square of the region at row 1, column 1 is in row 1. So row 1’s queen belongs to that region, and the rest of row 1 can’t have one.
Every open square of the region at row 1, column 5 is in row 4. So row 4’s queen belongs to that region, and the rest of row 4 can’t have one.
Suppose a queen sat at row 9, column 3. It would rule out every open square of the region at row 6, column 1, which then has nowhere for its queen. So row 9, column 3 can’t have a queen.
Suppose a queen sat at row 10, column 6. It would rule out every open square of the region at row 8, column 6, which then has nowhere for its queen. So row 10, column 6 can’t have a queen.
The open squares of the regions at row 1, column 1 and row 6, column 1 all sit inside columns 2 and 3. Those two columns hold exactly two queens, and the regions need all of them. So no other square in columns 2 and 3 can have a queen.
The region at row 2, column 1 has one square left that can hold its queen, at row 10, column 5. Its queen goes there.
The region at row 6, column 1 has one square left that can hold its queen, at row 9, column 2. Its queen goes there.
The region at row 1, column 1 has one square left that can hold its queen, at row 1, column 3. Its queen goes there.
The region at row 8, column 6 has one square left that can hold its queen, at row 8, column 6. Its queen goes there.
The region at row 4, column 7 has one square left that can hold its queen, at row 6, column 7. Its queen goes there.
The region at row 6, column 8 has one square left that can hold its queen, at row 7, column 9. Its queen goes there.
The region at row 1, column 5 has one square left that can hold its queen, at row 4, column 8. Its queen goes there.