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Platon Sudoku · Sudoku Study

Hidden Triple · Step-by-step example

Within one row, column, or box, three digits are confined to the same three cells. Remove every other candidate from those three cells.

This course is adapted from Platon Sudoku App. Read the complete example here, then continue learning and practising in the app.

View on Google Play

Recognize the pattern

Within one row, column, or box, three digits are confined to the same three cells.

How to find it

Scan three digits in one region and see whether all their possible positions fit within just three cells.

What it allows

Remove every other candidate from those three cells.

Avoid the mix-up

Each digit need not appear in all three cells. A naked triple is found by counting candidates inside three cells, not positions for three digits.

Step-by-step example · Row

This example starts from a saved intermediate position. Its candidates include earlier logical eliminations; they are not fresh automatic notes.

Blue: evidence. Green: conclusion. Crossed-out digits: eliminated candidates. R1C1 means row 1, column 1.

Step 1 · Observe the positions

In row 6, 2, 4, 6 can appear only in these three cells.

In row 6, 2, 4, 6 can appear only in these three cells.
In row 6, 2, 4, 6 can appear only in these three cells.
Step 2 · Understand the reservation

These three digits must each occupy one cell. No other digits fit in these cells.

These three digits must each occupy one cell. No other digits fit in these cells.
These three digits must each occupy one cell. No other digits fit in these cells.
Step 3 · Remove candidates

Remove the marked 3, 5 candidates from these three cells.

Remove the marked 3, 5 candidates from these three cells. R6C6=3, R6C7=3, R6C8=5
Remove the marked 3, 5 candidates from these three cells. R6C6=3, R6C7=3, R6C8=5

What it allows

Remove the marked 3, 5 candidates from these three cells.

Hidden Triple · Remove every other candidate from those three cells.
Hidden Triple · Remove every other candidate from those three cells.

Step-by-step example · Column

This example starts from a saved intermediate position. Its candidates include earlier logical eliminations; they are not fresh automatic notes.

Blue: evidence. Green: conclusion. Crossed-out digits: eliminated candidates. R1C1 means row 1, column 1.

Step 1 · Observe the positions

In column 4, 1, 7, 9 can appear only in these three cells.

In column 4, 1, 7, 9 can appear only in these three cells.
In column 4, 1, 7, 9 can appear only in these three cells.
Step 2 · Understand the reservation

These three digits must each occupy one cell. No other digits fit in these cells.

These three digits must each occupy one cell. No other digits fit in these cells.
These three digits must each occupy one cell. No other digits fit in these cells.
Step 3 · Remove candidates

Remove the marked 4, 8 candidates from these three cells.

Remove the marked 4, 8 candidates from these three cells. R7C4=4, R7C4=8, R8C4=4, R9C4=8
Remove the marked 4, 8 candidates from these three cells. R7C4=4, R7C4=8, R8C4=4, R9C4=8

What it allows

Remove the marked 4, 8 candidates from these three cells.

Hidden Triple · Remove every other candidate from those three cells.
Hidden Triple · Remove every other candidate from those three cells.

Step-by-step example · Box

This example starts from a saved intermediate position. Its candidates include earlier logical eliminations; they are not fresh automatic notes.

Blue: evidence. Green: conclusion. Crossed-out digits: eliminated candidates. R1C1 means row 1, column 1.

Step 1 · Observe the positions

In box 9, 5, 7, 8 can appear only in these three cells.

In box 9, 5, 7, 8 can appear only in these three cells.
In box 9, 5, 7, 8 can appear only in these three cells.
Step 2 · Understand the reservation

These three digits must each occupy one cell. No other digits fit in these cells.

These three digits must each occupy one cell. No other digits fit in these cells.
These three digits must each occupy one cell. No other digits fit in these cells.
Step 3 · Remove candidates

Remove the marked 1, 6, 9 candidates from these three cells.

Remove the marked 1, 6, 9 candidates from these three cells. R7C7=1, R7C8=1, R9C7=6, R9C7=9
Remove the marked 1, 6, 9 candidates from these three cells. R7C7=1, R7C8=1, R9C7=6, R9C7=9

What it allows

Remove the marked 1, 6, 9 candidates from these three cells.

Hidden Triple · Remove every other candidate from those three cells.
Hidden Triple · Remove every other candidate from those three cells.

Practice

This course is adapted from Platon Sudoku App. Read the complete example here, then continue learning and practising in the app.

View on Google Play