- Code: Select all
1 7 4 | 8 3 2 | 5 9 6
5 9 3 | 4 6 1 | 2 7 8
6 8 2 | 9 5 7 | 34 34 1
----------------+----------------+----------------
28 6 7 | 5 12 48 | 9 123 34
248 1 9 | 7 48 3 | 6 24 5
24 3 5 | 12 9 6 | 8 124 7
----------------+----------------+----------------
3 24 1 | 6 28 48 | 7 5 9
9 24 8 | 12 7 5 | 13 6 34
7 5 6 | 3 14 9 | 14 8 2
It has already been observed that if r5c8=2, the three trivalue cells are forced in a BUG state, and no other cells are affected, so r5c8 must be 4 and the puzzle is solved.
However, we can also apply the principle discovered by Myth Jellies.
By the BUG principle, we can say that at least one of the following is true: r5c1=2, r4c8=2, r6c8=2.
If r5c1=2, then r4c8=12 and r6c8=12
If r4c8=2, then r5c1=28 and r6c8=14
If r6c8=2, then r5c1=28 and r4c8=13
Therefore r5c1 can be reduced to 28, causing a naked pair in box 4 which reduces the puzzle to the following:
- Code: Select all
1 7 4 | 8 3 2 | 5 9 6
5 9 3 | 4 6 1 | 2 7 8
6 8 2 | 9 5 7 | 34 34 1
----------------+----------------+----------------
28 6 7 | 5 12 48 | 9 123 34
28 1 9 | 7 48 3 | 6 24 5
4 3 5 | 12 9 6 | 8 12 7
----------------+----------------+----------------
3 24 1 | 6 28 48 | 7 5 9
9 24 8 | 12 7 5 | 13 6 34
7 5 6 | 3 14 9 | 14 8 2
At this point we can apply the BUG principle to the only trivalue cell left, r4c8, saying that it must be 2, and the puzzle is solved.