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Locked Triple in sudoku

Naked Triple clearing two units · how it fits

Medium · rating cost 60 · Intersections

Three empty cells in one box that also share a row or column contain between them only the candidates X, Y and Z, though no cell needs all three.

Why it works

Three cells that all see each other need three different digits, and only X, Y and Z are available, so all three are used there. X, Y and Z are eliminated from every other cell of the box and of that row or column.

How to spot it

Check the three cells where a box crosses a row or column: all must be empty and hold just three different candidates between them.

Worked example

Locked Triple example on a sudoku board. Locked Triple: cells r8c1, r8c2, r8c3 contain only 2/3/7, removing those digits from the cells they all see. So 2 is removed from r8c8, r7c2; 7 is removed from r8c7, r8c8, r7c2, r7c3.
remove 3 cells that hold only 2/3/7 between them, in row 8 and box 7

Locked Triple: cells r8c1, r8c2, r8c3 contain only 2/3/7, removing those digits from the cells they all see. So 2 is removed from r8c8, r7c2; 7 is removed from r8c7, r8c8, r7c2, r7c3.

Step 29 of this puzzle's solution, found and verified by the sudokUI engine. Cells are named by row and column: r2c3 is row 2, column 3. Play this puzzle from the start.

Practise it on a real puzzle. sudokUI generates a puzzle that needs Locked Triple and takes you straight to the position where it applies. Hints draw the pattern on the board and explain the step.

Practice Locked TripleOpen in the app's guide

In a puzzle's rating

Each time the solver needs Locked Triple, the puzzle's difficulty rating grows by 60. Its class is Medium. It is needed in 1 in 57 puzzles that sudokUI generates. How the rating works.

More intersections

Locked Pair · Locked Candidates (Pointing) · Locked Candidates (Claiming)

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