Thermo · Medium

Hidden Single in Thermo Sudoku

A house with one place left for a digit. A thermometer can be what blocks the other places.

The idea

A hidden single is a digit with only one place left in a house.

In Thermo a digit can be eliminated from a cell by its thermometer rather than by a house, so look at both: the other places in a house may be ruled out by a digit nearby or by a thermometer that cannot take it there.

Worked examples

2 positions from real Thermo puzzles on this site, the familiar case first. Step through each one: the board lights what each step talks about, and the arrows show what rules what out.

One place left in a box

Medium puzzle · Hidden Single

Look at box 3. The digit 7 must go somewhere in this box. Where can it go?

Step 1 of 4Step 2 of 4Step 3 of 4Step 4 of 4

A thermometer blocks the other places

Medium puzzle · Hidden Single

Some cells of this house are on thermometers. A digit can be eliminated there by its thermometer, not only by its row, column or box.

Step 1 of 5Step 2 of 5Step 3 of 5Step 4 of 5Step 5 of 5

Where it fits

MediumHidden Single is a Medium technique: Medium Thermo puzzles are the first to need it.

The Classic Hidden Single lesson teaches it on a plain 9×9 board. The Thermo overview explains the rule and the levels.

Hidden Single in the other styles: Sudoku X, Jigsaw, Windoku, Arrow, Kropki.

Try it on a Medium Thermo puzzle. Next Step points it out when it is the move.

The worked examples, every step

One place left in a box

Medium Thermo puzzle · Hidden Single

  1. Look at box 3. The digit 7 must go somewhere in this box. Where can it go?
  2. R2C8 is the only cell in box 3 that can still take 7. Every other cell is filled, already sees a 7, or cannot take it on its thermometer. Each arrow runs from a 7 to a cell it rules out.
  3. Place 7 in R2C8.
  4. R2C8 is now 7.

A thermometer blocks the other places

Medium Thermo puzzle · Hidden Single

  1. Some cells of this house are on thermometers. A digit can be eliminated there by its thermometer, not only by its row, column or box.
  2. Look at box 8. The digit 5 must go somewhere in this box. Where can it go?
  3. R9C4 is the only cell in box 8 that can still take 5. Every other cell is filled, already sees a 5, or cannot take it on its thermometer. Each arrow runs from a 5 to a cell it rules out.
  4. Place 5 in R9C4.
  5. R9C4 is now 5.

Previous: Naked Single · Next: Locked Candidates