Learn / Coloring and chains
Sudoku technique · Coloring and chains · first needed in Expert puzzles
Simple coloring: trap
Color one digit along connected strong links using alternating colors. A candidate that sees both color groups cannot be true.
How to spot it
Build a connected two-color network, then inspect candidates outside it.
The common mistake
The colors mean alternatives, not known true and false values.
Learn this first
Strong links.
A worked example
This position comes from SudokuByte’s lesson on the Simple coloring: trap. 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
Build a connected two-color network, then inspect candidates outside it.Color one digit along connected strong links using alternating colors. A candidate that sees both color groups cannot be true.
Read the evidence in this position
For digit 1, connected strong links produce two alternating groups. Teal: r5c7. Gold: r5c8.Why the deduction must follow
One entire color group is true and the other false, within this connected component. An uncolored 1 seeing a member of each group is excluded either way.Apply the result
Erase 1 from r6c8. The pattern may remove candidates without immediately solving a cell.
Further reading: hodoku.sourceforge.net