Queens Grid

13×13 Queens Puzzles

1,762 boards at this size, each needing 13 queens: one per row, one per column, one per colour region, none touching. They run from 13 to 31 deductions.

At 13×13 the group-lock techniques stop being optional, and some boards need you to test a queen and follow the consequences before committing. Most Queens sites stop at 12×12.

13 queens left to place.

Tap once to rule a cell out, twice to place a queen. Right-click marks an exclusion directly. Arrow keys move between cells.

A 13x13 board split into 13 colour regions, needing 13 queens: one per row, one per column, one per region, none touching. Regions run from 1 to 45 cells.

By difficulty

How this board is solved

Solving this 13x13 board takes 13 deductions and needs only the basic deductions, drawing on 3 distinct techniques. The first queen you can place for certain is E1. The queens resolve in the order E1 → D8 → F6 → J5 → M7 → A4 → B2 → I11 → H13 → K12 → C10 → L9 → G3. Every step follows by logic, so you never have to guess.

Techniques this board needs

Full solution, step by step (13 deductions)
  1. Single-cell region essential

    Single-cell region. This colour covers only one cell, so its queen goes there. Place a queen at E1.

  2. Single-cell region essential

    Single-cell region. This colour covers only one cell, so its queen goes there. Place a queen at D8.

  3. Forced queen essential

    Forced queen. This colour has one legal cell left, so its queen goes there. Place a queen at F6.

  4. Forced queen essential

    Forced queen. This colour has one legal cell left, so its queen goes there. Place a queen at J5.

  5. Forced queen essential

    Forced queen. This colour has one legal cell left, so its queen goes there. Place a queen at M7.

  6. Forced queen essential

    Forced queen. This colour has one legal cell left, so its queen goes there. Place a queen at A4.

  7. Forced queen essential

    Forced queen. This colour has one legal cell left, so its queen goes there. Place a queen at B2.

  8. Forced queen essential

    Forced queen. This colour has one legal cell left, so its queen goes there. Place a queen at I11.

  9. Forced queen essential

    Forced queen. This colour has one legal cell left, so its queen goes there. Place a queen at H13.

  10. Forced queen essential

    Forced queen. This colour has one legal cell left, so its queen goes there. Place a queen at K12.

  11. Last cell in a line essential

    Last cell in a line. Column 3 has one legal cell left, so its queen goes there. Place a queen at C10. This reasons over column 3.

  12. Forced queen essential

    Forced queen. This colour has one legal cell left, so its queen goes there. Place a queen at L9.

  13. Forced queen essential

    Forced queen. This colour has one legal cell left, so its queen goes there. Place a queen at G3.

Answer: queens at E1, D8, F6, J5, M7, A4, B2, I11, H13, K12, C10, L9, G3.