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Sudoku Hidden Single (Box)

Only one cell in this box can hold that digit.

Technique 2 in the order the hint searches · difficulty Medium · up to hidden singles

Fix on one box and one digit. Follow the rows and columns where that digit already sits, ruling them across the box, and the places it could go shrink. When one cell is left, that's the answer.

A row drawn from the 4 on the left and a column coming up from the 4 below close off the top-right box. Take away the cells holding 2, 5 and 3 and only one place is left for the 4.

Rule lines out from the digits already placed

First find a digit that already appears three or more times on the grid. The rows and columns holding it are your ruled lines, and a box that still lacks the digit will have very few cells left. The trick is to take in a whole horizontal band of three boxes at once.

How the hint says it

In the top-center box, 3 can only go in r3c5. Every other cell there is blocked.

Every box holds that digit exactly once

A 3 must appear somewhere in this box's nine cells. If only one cell can take it, that cell is the 3, no matter how many other candidates are still written in it.

A puzzle that needs this much is labeled Medium. The logic is identical to scanning a line, but the movement your hand makes is different, so the two are kept apart.

Puzzles that need this technique

Four puzzles with a spot where nothing moves until you use Hidden Single (Box). Press a number to play it.