How to solve 6×6 Sudoku: a worked Mini Sudoku grid

By Trex Game Studio · · 3 min read

In short

In 6×6 Sudoku, each row, column and two-row by three-column box contains the digits 1 to 6 once each.

Start with a square that has one possible digit. When those run out, choose a digit and find the only place it can go in a row, column or box.

Read the boxes before you make a move

Mini Sudoku uses a six-by-six board. Each box is two rows tall and three columns wide. In the practice grid below, the upper-left box covers rows 1 and 2, columns 1 to 3. The box beside it covers the same two rows and columns 4 to 6. A dot marks an empty square. R1C1 means row 1, column 1.

Row C1 C2 C3 C4 C5 C6
1 · · 1 6 · ·
2 · 3 4 · · ·
3 2 · · 3 · ·
4 4 · · · · 2
5 · · · · 6 5
6 · · · · · ·

This is a board from the game's generator, with ten starting digits and one solution. Try the first move before reading on. You can copy the six rows onto paper and draw the box boundaries after rows 2 and 4 and between columns 3 and 4.

Start with a square that has one possible digit

Look at R1C1. Row 1 already has 1 and 6. Column 1 already has 2 and 4. The upper-left box already has 1, 3 and 4. Put those restrictions together and the only digit left is 5. Place it at R1C1. This is a cell with one candidate, often called a naked single.

Now R1C2 has to be 2. The 1, 5 and 6 in its row and the 3 and 4 in its box leave one choice. The upper-left box now has five digits, so its last empty square, R2C1, must be 6. This sequence shows why it pays to look around each digit you place. One entry can reduce several nearby choices at once.

Finish this pass by looking at R2C6. Row 2 contains 6, 3 and 4, so it is missing 1, 2 and 5. Column 6 contains 2 and 5. Put 1 at R2C6, then pause. A square with several possible digits can still be the only place for one of those digits.

Switch from looking at a square to looking for a digit

Find where 3 can go in row 4. Columns 1 and 6 already have entries in this row. Column 2 has a 3 at R2C2. Columns 4 and 5 in row 4 are in the middle-right box, which already contains the 3 at R3C4. That leaves only R4C3 for 3. The square could allow other digits if you looked at it in isolation, but the row needs its 3 here. This is a hidden single.

Use that new 3 to inspect R5C3. Column 3 contains 1, 4 and 3. Row 5 contains 6 and 5. Place the remaining 2. Then find where 6 belongs in row 4. Columns 4 and 5 are blocked by the 6s at R1C4 and R5C5. The remaining place for 6 is R4C2. From here, check the middle-left box and then return to row 1 as the new digits narrow its choices.

Finish the grid and check your answer

Continue alternating the two scans. First look for an empty square whose row, column and box rule out five digits. If you cannot spot one, choose a missing digit in a partly filled row or box and check each empty square for it. After every placement, cross that digit off any notes in the same row, column or box. This keeps your notes useful when a long scan brings you back to an earlier square.

Row C1 C2 C3 C4 C5 C6
1 5 2 1 6 3 4
2 6 3 4 2 5 1
3 2 1 5 3 4 6
4 4 6 3 5 1 2
5 3 4 2 1 6 5
6 1 5 6 4 2 3

In Mini Sudoku, turn on Notes or press N to keep candidates in a square. A placement that repeats a digit is refused immediately. A digit that fits so far can still lead to a dead end later, which is why each placement in the worked grid has a reason. For more examples on a larger board, read the Sudoku strategies guide.

Questions

How big are the boxes in 6×6 Sudoku?

Mini Sudoku has six boxes. Each is two rows tall and three columns wide.

What can I try when every empty square has several candidates?

Pick a missing digit in a row, column or box. Check which empty squares can take that digit. If only one can, place it there.

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