endyquang wrote:Hi guys, i'm new to soduko and have been trying to make a little sudoku game
I was able to create unique and as difficult as possible boards
But sometimes there are boards like this one i cant solve. So i get really doubted if those are solvable..
And please explain
) thanks!
Hi endyquang! Your board is quite solvable, though not trivial. In fact, I'm wondering... what techniques did you use to get this far? Probably the easiest path to your position already requires two non-basic moves (a Remote Pair and a Skyscraper), and then one more Skyscraper to solve the rest. So, if you solved it this far yourself, you should be able to finish it too (one more non-basic move left, and it's not more difficult than what's been needed already).
Btw, you've missed one basic move: there's a naked pair (16) in box 7, so you can eliminate the 1s from the rest of the box (not really necessary in this case, but it's a good practice to exhaust all basics first). After that we're here, with the Skyscraper move marked up:
- Code: Select all
.----------------.--------------.----------------.
| 5 178 3 | 178 2 18 | 4 9 6 |
| b17 1278 6 | 1378 4 9 | c127 5 137 |
| 4 127 9 | 1367 5 136 | 8 12 137 |
:----------------+--------------+----------------:
| 2 9 7 | 68 1 68 | 3 4 5 |
| 36 36 5 | 9 7 4 | 12 12 8 |
| 8 4 1 | 2 3 5 | 6 7 9 |
:----------------+--------------+----------------:
| 9 3-7 2 | 5 8 13 | d1(7) 6 4 |
| 16 16 8 | 4 9 7 | 5 3 2 |
| a3(7) 5 4 | 13 6 2 | 9 8 1-7 |
'----------------'--------------'----------------'
Skyscraper: (7)r9c1 = r2c1 - r2c7 = (7)r7c7 => -7 r7c2,r9c9; stte
In other words, the chain proves that either r9c1 (a) or r7c7 (d) must be a 7; thus we can eliminate all 7s that see both of them (r7c2 and r9c9). After that it's just singles to the end.