Arrow · Medium

Hidden Single in Arrow Sudoku

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

The idea

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

In Arrow a digit can be eliminated from a cell by its arrow rather than by a house: a circle cannot be smaller than its arrow adds up to, and a cell on an arrow cannot push the sum past its circle. So when a house seems to have two places left, look at the arrows too.

Worked examples

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

One place left in a box

Medium puzzle · Hidden Single

Look at box 5. 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

An arrow blocks the other places

Medium puzzle · Hidden Single

Some cells of this house are on arrows. A digit can be eliminated there by its arrow, 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 Arrow puzzles are the first to need it.

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

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

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

The worked examples, every step

One place left in a box

Medium Arrow puzzle · Hidden Single

  1. Look at box 5. The digit 7 must go somewhere in this box. Where can it go?
  2. R6C6 is the only cell in box 5 that can still take 7. Every other cell is filled or already sees a 7. Each red line runs from a 7 to a cell it rules out.
  3. Place 7 in R6C6.
  4. R6C6 is now 7.

An arrow blocks the other places

Medium Arrow puzzle · Hidden Single

  1. Some cells of this house are on arrows. A digit can be eliminated there by its arrow, not only by its row, column or box.
  2. Look at box 5. The digit 2 must go somewhere in this box. Where can it go?
  3. R5C4 is the only cell in box 5 that can still take 2. Every other cell is filled, already sees a 2, or cannot take it on its arrow. Each red line runs from a 2 to a cell it rules out.
  4. Place 2 in R5C4.
  5. R5C4 is now 2.

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