The full logical solve of the hard Queens for September 29 to October 5, 2026, 10 × 10. 19 steps, 6 techniques, no guessing. Step through it, or jump to any step below.
Every open square of the region at row 1, column 4 is in column 4. So column 4’s queen belongs to that region, and the rest of column 4 can’t have one.
Every open square of the region at row 9, column 1 is in column 1. So column 1’s queen belongs to that region, and the rest of column 1 can’t have one.
Every open square of the region at row 3, column 1 is in column 2. So column 2’s queen belongs to that region, and the rest of column 2 can’t have one.
Every open square of the region at row 1, column 1 is in column 3. So column 3’s queen belongs to that region, and the rest of column 3 can’t have one.
Suppose a queen sat at row 1, column 4. It would rule out every open square of column 3, which then has nowhere for its queen. So row 1, column 4 can’t have a queen.
Suppose a queen sat at row 2, column 3. It would rule out every open square of column 4, which then has nowhere for its queen. So row 2, column 3 can’t have a queen.
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 1, column 4 has one square left that can hold its queen, at row 3, column 4. Its queen goes there.
The region at row 3, column 1 has one square left that can hold its queen, at row 5, column 2. Its queen goes there.
Every open square of the region at row 1, column 8 is in row 2. So row 2’s queen belongs to that region, and the rest of row 2 can’t have one.
Every open square of column 10 is in the region at row 2, column 10. So that region’s queen is in column 10, and the region’s other squares can’t have one.
The open squares of the regions at row 9, column 1 and row 9, column 8 all sit inside rows 9 and 10. Those two rows hold exactly two queens, and the regions need all of them. So no other square in rows 9 and 10 can have a queen.
The region at row 8, column 2 has one square left that can hold its queen, at row 8, column 5. Its queen goes there.
The region at row 7, column 8 has one square left that can hold its queen, at row 7, column 8. Its queen goes there.
The region at row 1, column 8 has one square left that can hold its queen, at row 2, column 9. Its queen goes there.
The region at row 9, column 8 has one square left that can hold its queen, at row 10, column 7. Its queen goes there.
The region at row 9, column 1 has one square left that can hold its queen, at row 9, column 1. Its queen goes there.
The region at row 1, column 5 has one square left that can hold its queen, at row 4, column 6. Its queen goes there.
The region at row 2, column 10 has one square left that can hold its queen, at row 6, column 10. Its queen goes there.