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SUDOKU TECHNIQUE 02 · BEGINNER

Hidden Singles

Pick a number, look at one group, and find the only cell where that number can still go.

What is a hidden single?

A hidden single is a number that has only one possible cell left in a row, column or 3 × 3 box. The group must contain that number, and every other empty cell in the group is blocked, so the number goes in the last free cell. It is also called a unique candidate.

It is “hidden” because the cell itself may still allow several numbers. You find it by scanning the group for one number, not by inspecting one cell. In Marble Sudoku you scan for one marble color at a time.

Find one in 3 moves

  1. 1
    Pick. Choose a number that is missing from a row, column or box.
  2. 2
    Block. Each copy of that number blocks its whole row and column. Cross out the cells it hits.
  3. 3
    Place. Only one free cell left in the group? The number goes there.

Two or more free cells? Try another number or another group.

TRY IT · GUIDED EXAMPLE

Find the home for Green

The center box is missing a Green marble. The other colors are dimmed so the Green marbles stand out. Tap the Greens whose row or column crosses the box and watch them block holes.

This is the real board from Marble Sudoku. The nine marble colors stand for the numbers 1 to 9.

  1. Scan
  2. Place

STEP 1

Find the home for Green

Read the example in words

The center box is missing Green and has four empty holes: two in row 4 (columns 4 and 6) and two in row 5 (columns 4 and 6). The Green in row 4, column 1 blocks both holes in row 4. The Green in row 3, column 4 blocks the column 4 holes. Only the hole in row 5, column 6 is left, so Green goes there. That hole could also hold Red, Teal or Navy, so you would not find it by checking the hole alone. With numbers turned on, Green is 5.

YOUR TURN · PRACTICE

Scan for hidden singles

Pick a color in the tray: its marbles light up and the rest dim. Then tap the hole where it must go. A move only counts if that color has just one hole left in the hole’s row, column or box. Every puzzle is new and can be solved with singles alone.

0placed
0to go
0streak

SCAN FOR A COLOR

Why a hidden single always works

Every row, column and 3 × 3 box must contain each number exactly once. If a box is missing a 4, the 4 has to go in one of its empty cells. A cell is blocked for 4 when a 4 already sits in that cell’s row or column (or box). Block every option but one and the 4 has nowhere else to go.

Nothing here depends on what else the cell could hold. That is the difference from a naked single, where you prove a cell has only one possible number.

How to scan faster

  • Start with the most common number. A number that is already placed 6, 7 or 8 times has the fewest free spots left, so its hidden singles are easiest to see.
  • Go box by box. For one number, visit each box that is still missing it and draw imaginary lines from the copies in neighboring rows and columns. This is called cross-hatching.
  • Check rows and columns too. A number can be hidden in a row or column even when no box shows it yet.
  • Rescan after every placement. Each new number sends out a new row and column line, which often creates the next hidden single.

Hidden single vs. naked single

Hidden singleNaked single
Question you askWhere can this number go in this group?Which numbers can go in this cell?
You look atOne group and all of its empty cellsOne cell and its row, column and box
It is found whenThe number has one possible cell leftThe cell has one candidate left
Other candidates in the cell?Often yes, and that is fineNone

Common mistakes

  • Forgetting the box. A cell can also be blocked because its own box already holds the number.
  • Mixing up groups. All the blocked cells must belong to the same row, column or box you are checking.
  • Stopping at two cells. Two free cells means the number is not placed yet. Note it and move on.
  • Not rescanning. Hidden singles often come in chains. After each placement, check the same number again.

Hidden singles FAQ

What is a hidden single in Sudoku?

A hidden single is a number that can go in only one cell of a row, column or 3 × 3 box. Every other empty cell in that group is blocked for the number, so it must go in the remaining cell.

Why is it called a hidden single?

Because the cell itself may still have several candidates. The single is hidden among them, and you only see it when you scan the whole group for one number.

What is cross-hatching in Sudoku?

Cross-hatching is the scanning method for hidden singles: for one number, you trace the rows and columns of its existing copies through a box until only one free cell is left.

Is a hidden single harder than a naked single?

Both are beginner techniques. Many players find hidden singles quicker to spot without notes, while naked singles are easier to see once candidate notes are written in.

Do I need pencil marks for hidden singles?

No. Hidden singles are usually found by scanning, without notes. Notes can help on harder grids: a number that appears in only one note of a group is a hidden single.

Does this work in Marble Sudoku?

Yes. Marble Sudoku uses nine marble colors instead of the numbers 1 to 9. Pick a color, and look for the one hole in a row, column or box where it can still go.

Marble Sudoku: colorful marbles on a wooden Sudoku board

PRACTICE IN THE GAME

Scan for hidden singles in a real puzzle

Every Marble Sudoku puzzle is built on the same marble board you just used. Pick a color, scan the boxes and watch the last hole light up.

Next techniqueNaked pairs