Learn / Subsets
Sudoku technique · Subsets · first needed in Steady puzzles
Naked pair
2 cells in one house contain only 2 different candidates between them. They reserve those digits, in some order.
How to spot it
Compare candidate lists in cells that share a house. Count the union of their digits.
The common mistake
The two cells must have exactly the same two candidates.
Learn this first
Candidates and the row / column / box rules.
A worked example
This position comes from SudokuByte’s lesson on the Naked pair. Gold cells hold the evidence; green cells are the pattern’s ends.
256
2458
4568
7
1
23589
3469
24569
23459
1257
3
158
6
4
2589
179
1259
2579
12567
9
1456
23
23
235
13467
8
23457
2359
258
3589
23489
23689
1
34689
7
23489
4
6
7
5
2389
2389
1389
129
2389
1239
128
1389
23489
236789
234689
5
12469
23489
1379
147
1349
13489
5
3489
2
49
6
15679
1457
2
1489
689
4689
4789
3
45789
8
45
34569
2349
2369
7
49
459
1
256
2458
4568
7
1
23589
3469
24569
23459
1257
3
158
6
4
2589
179
1259
2579
12567
9
1456
23
23
235
13467
8
23457
2359
258
3589
23489
23689
1
34689
7
23489
4
6
7
5
2389
2389
1389
129
2389
1239
128
1389
23489
236789
234689
5
12469
23489
1379
147
1349
13489
5
3489
2
49
6
15679
1457
2
1489
689
4689
4789
3
45789
8
45
34569
2349
2369
7
49
459
1
Where to look
Compare candidate lists in cells that share a house. Count the union of their digits.2 cells in one house contain only 2 different candidates between them. They reserve those digits, in some order.
Read the evidence in this position
In row 3, r3c4, r3c5 collectively contain only 2, 3. Check every pencil mark in these cells.Why the deduction must follow
These 2 cells need 2 different values, chosen from exactly 2 digits. They therefore use all those digits, in some order. Remove those digits from the other cells of the house.Apply the result
Erase 2 from r3c1, r3c6, r3c9. Erase 3 from r3c6, r3c7, r3c9. The pattern may remove candidates without immediately solving a cell.
Further reading: hodoku.sourceforge.net